From 55cad9a70d626ac497826ec15350e8d00f065578 Mon Sep 17 00:00:00 2001 From: Chethana Potukanam Date: Sat, 25 May 2024 17:50:30 +0530 Subject: [PATCH 001/174] Added SeabornPlotting Functions --- .../SeabornPlotting .md | 238 ++++++++++++++++++ contrib/plotting-visualization/index.md | 1 + images/plot_images/image1.png | Bin 0 -> 53217 bytes images/plot_images/image10.png | Bin 0 -> 38312 bytes images/plot_images/image11.png | Bin 0 -> 108739 bytes images/plot_images/image12.png | Bin 0 -> 121680 bytes images/plot_images/image13.png | Bin 0 -> 28883 bytes images/plot_images/image14.png | Bin 0 -> 26863 bytes images/plot_images/image15.png | Bin 0 -> 16226 bytes images/plot_images/image16.png | Bin 0 -> 25392 bytes images/plot_images/image2.png | Bin 0 -> 44101 bytes images/plot_images/image3.png | Bin 0 -> 22115 bytes images/plot_images/image4.png | Bin 0 -> 34843 bytes images/plot_images/image5.png | Bin 0 -> 20812 bytes images/plot_images/image6.png | Bin 0 -> 13023 bytes images/plot_images/image7.png | Bin 0 -> 15950 bytes images/plot_images/image8.png | Bin 0 -> 25305 bytes images/plot_images/image9.png | Bin 0 -> 18847 bytes 18 files changed, 239 insertions(+) create mode 100644 contrib/plotting-visualization/SeabornPlotting .md create mode 100644 images/plot_images/image1.png create mode 100644 images/plot_images/image10.png create mode 100644 images/plot_images/image11.png create mode 100644 images/plot_images/image12.png create mode 100644 images/plot_images/image13.png create mode 100644 images/plot_images/image14.png create mode 100644 images/plot_images/image15.png create mode 100644 images/plot_images/image16.png create mode 100644 images/plot_images/image2.png create mode 100644 images/plot_images/image3.png create mode 100644 images/plot_images/image4.png create mode 100644 images/plot_images/image5.png create mode 100644 images/plot_images/image6.png create mode 100644 images/plot_images/image7.png create mode 100644 images/plot_images/image8.png create mode 100644 images/plot_images/image9.png diff --git a/contrib/plotting-visualization/SeabornPlotting .md b/contrib/plotting-visualization/SeabornPlotting .md new file mode 100644 index 00000000..0e219c49 --- /dev/null +++ b/contrib/plotting-visualization/SeabornPlotting .md @@ -0,0 +1,238 @@ +### Seaborn Plotting Functions: +Seaborn is a powerful and easy-to-use data visualization library in Python built on top of Matplotlib.It provides a high-level interface for drawing attractive and informative statistical graphics.Now we will cover various functions covered by Seaborn, along with examples to illustrate their usage. +Seaborn simplifies the process of creating complex visualizations with a few lines of code and it integrates closely with pandas data structure , making it an excellent choice for data analysis and exploration. +### Setting up Seaborn: +Make sure seaborn library is installed in your system. If not use command +`pip install seaborn` +After installing you are all set to experiment with plotting functions. + +``` +#import necessary libraries + +import seaborn as sns +import matplotlib.pyplot as plt +import pandas as pd +``` + +Seaborn includes several built-in datasets that you can use for practice +You can list all available datasets using below command +`sns.get_dataset_names()` +Here we are using 'tips' dataset + +``` +# loading an example dataset +tips=sns.load_dataset('tips') +``` + +Before delving into plotting, make yourself comfortable with the dataset. To do that, use the pandas library to understand what information the dataset contains and preprocess the data. If you get stuck, feel free to refer to the pandas documentation. + +### Relational Plots: +Relational plots are used to visualize the relationship between two or more variables +##### Scatter Plot: +A scatter plot displays data points based on two numerical variables.Seaborn `scatterplot` function allows you to create scatter plots with ease +##### Line Plot: +A line plot connects data points in the order they appear in the dataset.This is useful for time series data.`lineplot` function allows you to create lineplots. + +``` +# scatter plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.scatterplot(data=tips,x='total_bill',y='tip',hue='day',style='time') +plt.title('Scatter Plot of Total Bill vs Tip') +plt.show() +``` +![Alt text](/images/plot_images/image1.png) + +``` +# lineplot using seaborn + +plt.figure(figsize=(5,5)) +sns.lineplot(data=tips,x='size',y='total_bill',hue='day') +plt.title('Line Plot of Total Bill by Size and Day') +plt.show() +``` +![Alt text](images/plot_images/image2.png) + +### Distribution Plots: +Distribution Plots visualize the distribution of a single numerical variable +##### HistPlot: +A histplot displays the distribution of a numerical variable by dividing the data into bins. +##### KDE Plot: +A Kernel Density Estimate (KDE) plot represents the distribution of a variable as a smooth curve. +##### ECDF Plot: +An Empirical Cumulative Distribution Function (ECDF) plot shows the proportion of data points below each value. +##### Rug Plot: +A rug plot in Seaborn is a simple way to show the distribution of a variable by drawing small vertical lines (or "rugs") at each data point along the x-axis. + +``` +# Histplot using Seaborn + +plt.figure(figsize=(5,5)) +sns.histplot(data=tips, x='total_bill', kde=True) +plt.title('Histplot of Total Bill') +plt.show() +``` +![Alt text](/images/plot_images/image3.png) + +``` +# KDE Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.kdeplot(data=tips, x='total_bill', hue='sex', fill=True) +plt.title('KDE Plot of Total Bill by Sex') +plt.show() +``` +![Alt text](/images/plot_images/image4.png) + +``` +# ECDF Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.ecdfplot(data=tips, x='total_bill', hue='sex') +plt.title('ECDF Plot of Total Bill by Sex') +plt.show() +``` +![Alt text](/images/plot_images/image5.png) + +``` +# Rug Plot using Seaborn + +plt.figure(figsize=(3,3)) +sns.rugplot(x='total_bill', data=tips) +plt.title('Rug Plot of Total Bill Amounts') +plt.show() +``` +![Alt text](/images/plot_images/image6.png) + + ### Categorical Plots: + Categorical plots are used to visualize data where one or more variables are categorical. + ##### Bar Plot: + A bar plot shows the relationship between a categorical variable and a numerical variable. + ##### Point Plot: + A point plot in Seaborn is used to show the relationship between two categorical variables, with the size of the points representing the values of third variable. + ##### Box Plot: + A box plot displays the distribution of a numerical variable across different categories. + ##### Violin Plot: + A violin plot combines aspects of a box plot and a KDE plot to show the distribution of data + + ``` + # Bar Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.barplot(data=tips,x='day',y='total_bill',hue='sex') +plt.title('Bar Plot of Total Bill by Day and Sex') +plt.show() + ``` +![Alt text](/images/plot_images/image7.png) + +``` +# Point Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.pointplot(x='day',y='total_bill',hue='sex',data=tips) +plt.title('Average Total Bill by Day and Sex') +plt.show() +``` +![Alt text](/images/plot_images/image8.png) + +``` +# Box Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.boxplot(data=tips, x='day', y='total_bill', hue='sex') +plt.title('Box Plot of Total Bill by Day and Sex') +plt.show() +``` +![Alt text](/images/plot_images/image9.png) + +``` +# Violin Plot using Seaborn + +plt.figure(figsize=(5,5)) +sns.violinplot(data=tips,x='day',y='total_bill',hue='sex',split=True) +plt.title('Violin Plot of Total Bill by Day and Sex') +plt.show() +``` +![Alt text](/images/plot_images/image10.png) + +### Matrix Plots: +Matrix plots are useful for visualizing data in a matrix format. +##### Heatmap: +A heatmap displays data in a matrix where values are represented by color. + +``` +# Heatmap using Seaborn + +plt.figure(figsize=(10,8)) +flights = sns.load_dataset('flights') +flights_pivot = flights.pivot(index='month', columns='year', values='passengers') +sns.heatmap(flights_pivot, annot=True, fmt='d', cmap='YlGnBu') +plt.title('Heatmap of Flight Passengers') +plt.show() +``` +![Alt text](/images/plot_images/image11.png) + +### Pair Plot: +A pair plot shows the pairwise relationships between multiple variables in a dataset. + +``` +#Pairplot using Seaborn + +plt.figure(figsize=(5,5)) +sns.pairplot(tips, hue='sex') +plt.title('Pair Plot of Tips Dataset') +plt.show() +``` +![Alt text](/images/plot_images/image12.png) + +### FacetGrid: +FacetGrid allows you to create a grid of plots based on the values of one or more categorical variables. + +``` +#Facetgrid using Seaborn + +plt.figure(figsize=(5,5)) +g = sns.FacetGrid(tips, col='sex', row='time', margin_titles=True) +g.map(sns.scatterplot, 'total_bill', 'tip') +plt.show() +``` +![Alt text](/images/plot_images/image13.png) + +### Customizing Seaborn Plots: +Seaborn plots can be customized to improve their appearance and convey more information. + +##### Changing the Aesthetic Style: +Seaborn comes with several built-in themes. + +``` +sns.set_style('whitegrid') +sns.scatterplot(data=tips, x='total_bill', y='tip') +plt.title('Scatter Plot with Whitegrid Style') +plt.show() +``` +![Alt text](/images/plot_images/image14.png) + +##### Customizing Colors: +You can use color palettes to customize the colors in your plots. + +``` +sns.set_palette('pastel') +sns.barplot(data=tips, x='day', y='total_bill', hue='sex') +plt.title('Bar Plot with Pastel Palette') +plt.show() +``` +![Alt text](/images/plot_images/image15.png) + +##### Adding Titles and Labels: +Titles and labels can be added to make plots more informative. + +``` +plot = sns.scatterplot(data=tips, x='total_bill', y='tip') +plot.set_title('Scatter Plot of Total Bill vs Tip') +plot.set_xlabel('Total Bill ($)') +plot.set_ylabel('Tip ($)') +plt.show() +``` +![Alt text](/images/plot_images/image16.png) + +Seaborn is a versatile library that simplifies the creation of complex visualizations. By using Seaborn's plotting functions, you can create a wide range of statistical graphics with minimal effort. Whether you're working with relational data, categorical data, or distributions, Seaborn provides the tools you need to visualize your data effectively. \ No newline at end of file diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 67bee6dc..3286129f 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,3 +1,4 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) +- [Seaborn Plotting Functions](SeabornPlotting.md) \ No newline at end of file diff --git a/images/plot_images/image1.png b/images/plot_images/image1.png new file mode 100644 index 0000000000000000000000000000000000000000..a8a6017ed75085902bce06da5caa65e96919754f GIT binary patch literal 53217 zcmbrmbyQZ}*DeeyD4?K(gtT;sw6uVvbT>*#d4qJL0@9*L2q;K52na|^r!>;t(jZ-D z?%#X9_ndLY`QsboJY&Fp`>Dh z+`xqYv+;wu7+wUNq;#Cr?JS&JpF5bNDL!|yx3zP!wKAc0F?VpZvO{q{;D5lyMs4Zj 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insertions(+) create mode 100644 contrib/plotting-visualization/Visualizing_nifti_files.md diff --git a/contrib/plotting-visualization/Visualizing_nifti_files.md b/contrib/plotting-visualization/Visualizing_nifti_files.md new file mode 100644 index 00000000..4baaca34 --- /dev/null +++ b/contrib/plotting-visualization/Visualizing_nifti_files.md @@ -0,0 +1,90 @@ +## NIfTI Files +Neuroimaging Informatics Technology Initiative is a data format for storage. Functional Magnetic Resonance Imaging (fMRI) and other medical images. +## In this, we'll be using different packages: +1. Matplotlib +2. Nibabel: It gives access to a variety of imaging formats, it provides a common interface for various formats produced by different scanners. + +## Various Methods for viewing a NIfTI file +### 1. Load NIfTI file +``` +brain_vol = nib.load("") #Enter the path to NIfTI file here +type(brain_vol) +``` +### 2. View Metadata +``` +print(brain_vol.header) +``` +### Output +``` + object, endian='<' +sizeof_hdr : 348 +data_type : b'' +db_name : b'' +extents : 0 +session_error : 0 +regular : b'r' +dim_info : 54 +dim : [ 3 192 256 256 1 1 1 1] +intent_p1 : 0.0 +intent_p2 : 0.0 +intent_p3 : 0.0 +intent_code : none +datatype : int16 +bitpix : 16 +slice_start : 0 +pixdim : [1. 1. 1. 1. 2.3 0. 0. 0. ] +vox_offset : 0.0 +scl_slope : nan +scl_inter : nan +slice_end : 0 +slice_code : unknown +xyzt_units : 10 +cal_max : 0.0 +cal_min : 0.0 +slice_duration : 0.0 +toffset : 0.0 +glmax : 0 +glmin : 0 +descrip : b'TE=2.7;Time=150734.828;phase=1' +aux_file : b'' +qform_code : scanner +sform_code : scanner +quatern_b : 0.00042526424 +quatern_c : -0.027039066 +quatern_d : 0.01571919 +qoffset_x : -81.5222 +qoffset_y : -130.72974 +qoffset_z : -144.47054 +srow_x : [ 9.9804670e-01 -3.1445995e-02 -5.4038301e-02 -8.1522202e+01] +srow_y : [ 3.1400096e-02 9.9950546e-01 -1.7001767e-03 -1.3072974e+02] +srow_z : [ 5.4065209e-02 4.7863640e-08 9.9853742e-01 -1.4447054e+02] +intent_name : b'' +magic : b'n+1' +``` +### 3. Access data in the NIfTI object +``` +brain_vol_data = brain_vol.get_fdata() +type(brain_vol_data) +``` +### Output +``` +numpy.ndarray +``` +### Dimensions of the image +``` +brain_vol_data.shape +``` +### Output +``` +(192, 256, 256) +``` +### 4. Visualize a Slice +``` +plt.imshow(brain_vol_data[96], cmap='bone') +plt.axis('off') +plt.show() +``` + + + + From ad7ec8797e02a99f21194fbb3486f3cf8d039b96 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Sun, 2 Jun 2024 11:37:11 +0530 Subject: [PATCH 003/174] Add files via upload --- images/1.png | Bin 0 -> 267708 bytes images/2.png | Bin 0 -> 761399 bytes images/3.png | Bin 0 -> 1384689 bytes 3 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 images/1.png create mode 100644 images/2.png create mode 100644 images/3.png diff --git a/images/1.png b/images/1.png new file mode 100644 index 0000000000000000000000000000000000000000..bdf458ac3a056ee8d2e550ec215b8cbcd26f750a GIT binary patch literal 267708 zcmZ6yc{E$=A3oX-YBT**m^_j7drCUJ-)vpLb7tBktM!wWq90WombD!0(#fwLN<(2-2HA z2Y1JZLT`FR?AasR^1ov*Go;XW&z_yUTi35S$3SMb1}o3m5c4HH_xwg5P_g>s&v5lq zH_}etez7bc@_Z&G>n7da;t)ls8#AJHGCR`k)jLJSW2usoD&}&bfAk2!j4hj#Dc36G 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z9b2o*fm=w5VBL!L^s|Nmq2L11XzpYhX5=t!hLzu?n1z{(q}_0lmkD%K(BSlkGt5Vh zGi5D#n1!bbcFcE133u5CsV2+6(=M@;=2Q&Q(%wYHr1W?>q~W#Ze(0{DnQ9$QD4{&y zwZIuiCCN5Hg`s<@pA|4?zg(s?-L%|eyhk(rPUE0cv>_GQFVvWkLF5su<`en0ca*l? zdp5)&&@eCnLzoBUPUtsU?b+}g_GcZ+o6-%@7GPfp1xx`Qgymf|h>vjYbBfN?<@Ntk zo5riM%j~F#GMoZObb{B&jQQ#%&daCb!kRl0BYAocXW36Sv7?z~SeOke?Jn=V407;# z(pZS!o8kk(l4CPbZ-(in%Rmv(laSDs7zXR!*j$lb-9Zn*y!CB6HQxyCm+YeP_ zGqoO5b_}r^$lO{MLRW-!r@1hS)LyNtfjv;H#akYHiGqda;L{gVw(N9W*)pL^!}rB1 z&1NA7Mk#%U``6T4U(&TVfi-Si$yH+0G^L({iFTcR`PbSrR-v|;mSJ^xLG#IMQ_`;^ zd#NT`zDMb%Rl$+hsF{ql*C<|1jvHXcWLXdw^IxB&AqeySg89v$?FQmzED;)ax%UXR zJ>p`rwDfDe-uC&8ZDByu(eFRvhw0!B$D`Il{&hcoWfPj={?9*4`|o3Xw%dr%v;X%$ zU)iw#xv%X1+_&bbRQ!K<;eX!NpNNb9G(7+Fy+sHA_l^Fi)dUyyf3IlXfB%X9_pQTH f|9^i*w-CB(w@e=&@;Lk*_-AQ)`C`TSKkxk?I=MGT From dbe3af270ac69849229c450609d23dd25eb8f3e2 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Sun, 2 Jun 2024 11:51:34 +0530 Subject: [PATCH 007/174] Visualizing_nifti_files.md --- .../Visualizing_nifti_files.md | 31 +++++++++++++++++++ 1 file changed, 31 insertions(+) diff --git a/contrib/plotting-visualization/Visualizing_nifti_files.md b/contrib/plotting-visualization/Visualizing_nifti_files.md index 4baaca34..bcd26196 100644 --- a/contrib/plotting-visualization/Visualizing_nifti_files.md +++ b/contrib/plotting-visualization/Visualizing_nifti_files.md @@ -84,6 +84,37 @@ plt.imshow(brain_vol_data[96], cmap='bone') plt.axis('off') plt.show() ``` +The image can be rotated +``` +plt.imshow(ndi.rotate(brain_vol_data[96], 90), cmap='bone') +plt.axis('off') +plt.show() +``` +### Plot a series of slices +``` +fig_rows = 4 +fig_cols = 4 +n_subplots = fig_rows * fig_cols +n_slice = brain_vol_data.shape[0] +step_size = n_slice // n_subplots +plot_range = n_subplots * step_size +start_stop = int((n_slice - plot_range) / 2) + +fig, axs = plt.subplots(fig_rows, fig_cols, figsize=[10, 10]) + +for idx, img in enumerate(range(start_stop, plot_range, step_size)): + axs.flat[idx].imshow(ndi.rotate(brain_vol_data[img, :, :], 90), cmap='gray') + axs.flat[idx].axis('off') + +plt.tight_layout() +plt.show() +``` +### Multiples slices at once +``` +plotting.plot_img(brain_vol, display_mode='mosaic', cmap='gray') +plt.show() +``` + From cd3e090e703ab3b3812614a4590a062ce8e81ce3 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Sun, 2 Jun 2024 11:53:31 +0530 Subject: [PATCH 008/174] index.md --- contrib/plotting-visualization/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 67bee6dc..74558c42 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,3 +1,4 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) +- [Visualizing NIfTI files](Visualizing_NIfTI_files.md) From b519834b34a998805d9fc76343b224ad7220f7ff Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Sun, 2 Jun 2024 11:54:24 +0530 Subject: [PATCH 009/174] index.md --- contrib/plotting-visualization/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 74558c42..03994ec4 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,4 +1,4 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) -- [Visualizing NIfTI files](Visualizing_NIfTI_files.md) +- [Visualizing NIfTI files](Visualizing_nifti_files.md) From 14f425286e720804c7b1e8c606aa50c5cdee279c Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Sun, 2 Jun 2024 15:58:06 +0530 Subject: [PATCH 010/174] Create Dijkstra's_algorithm.md --- contrib/ds-algorithms/Dijkstra's_algorithm.md | 88 +++++++++++++++++++ 1 file changed, 88 insertions(+) create mode 100644 contrib/ds-algorithms/Dijkstra's_algorithm.md diff --git a/contrib/ds-algorithms/Dijkstra's_algorithm.md b/contrib/ds-algorithms/Dijkstra's_algorithm.md new file mode 100644 index 00000000..18845f6b --- /dev/null +++ b/contrib/ds-algorithms/Dijkstra's_algorithm.md @@ -0,0 +1,88 @@ + +# Dijkstra's Algorithm +Dijkstra's algorithm is a graph algorithm that gives the shortest distance of each node from the given node in a weighted, undirected graph. It operates by continually choosing the closest unvisited node and determining the distance to all its unvisited neighboring nodes. This algorithm is similar to BFS in graphs, with the difference being it gives priority to nodes with shorter distances by using a priority queue(min-heap) instead of a FIFO queue. The data structures required would be a distance list (to store the minimum distance of each node), a priority queue or a set, and we assume the adjacency list will be provided. + +## Working +- We will store the minimum distance of each node in the distance list, which has a length equal to the number of nodes in the graph. Thus, the minimum distance of the 2nd node will be stored in the 2nd index of the distance list. We initialize the list with the maximum number possible, say infinity. + +- We now start the traversal from the starting node given and mark its distance as 0. We push this node to the priority queue along with its minimum distance, which is 0, so the structure pushed will be (0, node), a tuple. + +- Now, with the help of the adjacency list, we will add the neighboring nodes to the priority queue with the distance equal to (edge weight + current node distance), and this should be less than the distance list value. We will also update the distance list in the process. + +- When all the nodes are added, we will select the node with the shortest distance and repeat the process. + +## Dry Run +We will now do a manual simulation using an example graph given. First, (0, a) is pushed to the priority queue (pq). +![gssoc photo 1](https://github.com/animator/learn-python/assets/154299201/713cf7dd-fa8a-4f81-829f-00ac33eb12f4) +- **Step1:** The lowest element is popped from the pq, which is (0, a), and all its neighboring nodes are added to the pq while simultaneously checking the distance list. Thus (3, b), (7, c), (1, d) are added to the pq. +![gssoc photo2](https://github.com/animator/learn-python/assets/154299201/9456b701-7877-44dc-854b-da416c5e2e9b) +- **Step2:** Again, the lowest element is popped from the pq, which is (1, d). It has two neighboring nodes, a and e, from which + (0 + 1, a) will not be added to the pq as dist[a] = 0 is less than 1. +![gssoc photo3](https://github.com/animator/learn-python/assets/154299201/83990a40-f3fc-4173-9e21-10eb9e2003cb) + +- **Step3:** Now, the lowest element is popped from the pq, which is (3, b). It has two neighboring nodes, a and c, from which + (0 + 1, a) will not be added to the pq. But the new distance to reach c is 5 (3 + 2), which is less than dist[c] = 7. So (5, c) is added to the pq. +![gssoc photo4](https://github.com/animator/learn-python/assets/154299201/b47eb063-8ce7-4e68-85a5-da98f5ac9a3d) + +- **Step4:** The next smallest element is (5, c). It has neighbors a and e. The new distance to reach a will be 5 + 7 = 12, which is more than dist[a], so it will not be considered. Similarly, the new distance for e is 5 + 3 = 8, which again will not be considered. So, no new tuple has been added to the pq. +![gssoc photo5](https://github.com/animator/learn-python/assets/154299201/c0ef3c2a-1938-4c33-9e07-0929e8e5e631) + +- **Step5:** Similarly, both the elements of the pq will be popped one by one without any new addition. +![gssoc photo6](https://github.com/animator/learn-python/assets/154299201/828739c6-413b-41f6-a09f-b702802b20e1) +![gssoc photo7](https://github.com/animator/learn-python/assets/154299201/488d4c7b-d7bf-4887-a9c5-04accc6c6c89) + +- The distance list we get at the end will be our answer. +- `Output` `dist=[1, 3, 7, 1, 6]` + +## Python Code +```python +import heapq + +def dijkstra(graph, start): + # Create a priority queue + pq = [] + heapq.heappush(pq, (0, start)) + + # Create a dictionary to store distances to each node + dist = {node: float('inf') for node in graph} + dist[start] = 0 + + while pq: + # Get the node with the smallest distance + current_distance, current_node = heapq.heappop(pq) + + # If the current distance is greater than the recorded distance, skip it + if current_distance > dist[current_node]: + continue + + # Update the distances to the neighboring nodes + for neighbor, weight in graph[current_node].items(): + distance = current_distance + weight + # Only consider this new path if it's better + if distance < dist[neighbor]: + dist[neighbor] = distance + heapq.heappush(pq, (distance, neighbor)) + + return dist + +# Example usage: +graph = { + 'A': {'B': 1, 'C': 4}, + 'B': {'A': 1, 'C': 2, 'D': 5}, + 'C': {'A': 4, 'B': 2, 'D': 1}, + 'D': {'B': 5, 'C': 1} +} + +start_node = 'A' +dist = dijkstra(graph, start_node) +print(dist) +``` + +## Complexity Analysis + +- **Time Complexity**: \(O((V + E) log V)\) +- **Space Complexity**: \(O(V + E)\) + + + + From cc85ae3802f2f015a353a81b48f33f1ff5cb6a10 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Sun, 2 Jun 2024 22:54:56 +0530 Subject: [PATCH 011/174] Update index.md --- contrib/ds-algorithms/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 1d7293bb..2263620d 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -13,3 +13,4 @@ - [Stacks in Python](stacks.md) - [Sliding Window Technique](sliding-window.md) - [Trie](trie.md) +- [Dijkstra's Algorithm](Dijkstra's_algorithm.md) From 5542f6ba9d665838d273257859992efe958eca6a Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Tue, 4 Jun 2024 22:18:48 +0530 Subject: [PATCH 012/174] Added K-Means --- .../machine-learning/K-Means_Clustering.md | 84 +++++++++++++++++++ 1 file changed, 84 insertions(+) create mode 100644 contrib/machine-learning/K-Means_Clustering.md diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md new file mode 100644 index 00000000..f90e2901 --- /dev/null +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -0,0 +1,84 @@ +# K-Means Clustering +Unsupervised Learning Algorithm for Grouping Similar Data. +## Introduction +K-means clustering is a fundamental unsupervised machine learning algorithm that excels at grouping similar data points together. It's a popular choice due to its simplicity and efficiency in uncovering hidden patterns within unlabeled datasets. +## Unsupervised Learning +Unlike supervised learning algorithms that rely on labeled data for training, unsupervised algorithms, like K-means, operate solely on input data (without predefined categories). Their objective is to discover inherent structures or groupings within the data. +## The K-Means Objective +Organize similar data points into clusters to unveil underlying patterns. The main objective is to minimize total intra-cluster variance or the squared function. + +![enter image description here](https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQnDTFfxrrAttYMwwjZV0RAA8J8rmUxgrnWc2gU_ArEqrxEMlHm) +## Clusters and Centroids +A cluster represents a collection of data points that share similar characteristics. K-means identifies a pre-determined number (k) of clusters within the dataset. Each cluster is represented by a centroid, which acts as its central point (imaginary or real). +## Minimizing In-Cluster Variation +The K-means algorithm strategically assigns each data point to a cluster such that the total variation within each cluster (measured by the sum of squared distances between points and their centroid) is minimized. In simpler terms, K-means strives to create clusters where data points are close to their respective centroids. +## The Meaning Behind "K-Means" +The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. +## K-Means Algorithm in Action +![enter image description here](https://d3i71xaburhd42.cloudfront.net/2f49631bb3103a61fbc3045dd035c3d8f2175887/11-Figure2-1.png) +The K-means algorithm follows an iterative approach to optimize cluster formation: + +1. **Initial Centroid Placement:** The process begins with randomly selecting k centroids to serve as initial reference points for each cluster. +2. **Data Point Assignment:** Each data point is assigned to the closest centroid, effectively creating a preliminary clustering. +3. **Centroid Repositioning:** Once data points are assigned, the centroids are recalculated by averaging the positions of the points within their respective clusters. These new centroids represent the refined centers of the clusters. +4. **Iteration Until Convergence:** Steps 2 and 3 are repeated iteratively until a stopping criterion is met. This criterion can be either: + - **Centroid Stability:** No significant change occurs in the centroids' positions, indicating successful clustering. + - **Reaching Maximum Iterations:** A predefined number of iterations is completed. + ## Code + Following is a simple implementation of K-Means. + + + # Generate and Visualize Sample Data + # import the necessary Libraries + + import numpy as np + import matplotlib.pyplot as plt + + # Create data points for cluster 1 and cluster 2 + X = -2 * np.random.rand(100, 2) + X1 = 1 + 2 * np.random.rand(50, 2) + + # Combine data points from both clusters + X[50:100, :] = X1 + + # Plot data points and display the plot + plt.scatter(X[:, 0], X[:, 1], s=50, c='b') + plt.show() + + # K-Means Model Creation and Training + from sklearn.cluster import KMeans + + # Create KMeans object with 2 clusters + kmeans = KMeans(n_clusters=2) + kmeans.fit(X) # Train the model on the data + + # Visualize Data Points with Centroids + centroids = kmeans.cluster_centers_ # Get centroids (cluster centers) + + plt.scatter(X[:, 0], X[:, 1], s=50, c='b') # Plot data points again + plt.scatter(centroids[0, 0], centroids[0, 1], s=200, c='g', marker='s') # Plot centroid 1 + plt.scatter(centroids[1, 0], centroids[1, 1], s=200, c='r', marker='s') # Plot centroid 2 + plt.show() # Display the plot with centroids + + # Predict Cluster Label for New Data Point + new_data = np.array([-3.0, -3.0]) + new_data_reshaped = new_data.reshape(1, -1) + predicted_cluster = kmeans.predict(new_data_reshaped) + print("Predicted cluster for new data:", predicted_cluster) + + ### Output: + Before Implementing K-Means Clustering : +![Before Implementing K-Means Clustering](https://miro.medium.com/v2/resize:fit:640/format:webp/1*jnyQxmEj7rFhazeMH7KXVg.png) + + + After Implementing K-Means Clustering:![enter image description here](https://miro.medium.com/v2/resize:fit:640/format:webp/1*H3L3EH3Jh6kWFmbec0ewKA.png) +## Conclusion +**K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. + + + + + + + + From 7259dc7047a0576721b852fc4aeb08ddf5bd8b84 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Tue, 4 Jun 2024 22:24:02 +0530 Subject: [PATCH 013/174] Update K-Means_Clustering.md --- contrib/machine-learning/K-Means_Clustering.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index f90e2901..ab5fba93 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -67,11 +67,12 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio print("Predicted cluster for new data:", predicted_cluster) ### Output: - Before Implementing K-Means Clustering : + Before Implementing K-Means Clustering ![Before Implementing K-Means Clustering](https://miro.medium.com/v2/resize:fit:640/format:webp/1*jnyQxmEj7rFhazeMH7KXVg.png) - After Implementing K-Means Clustering:![enter image description here](https://miro.medium.com/v2/resize:fit:640/format:webp/1*H3L3EH3Jh6kWFmbec0ewKA.png) + After Implementing K-Means Clustering + ![enter image description here](https://miro.medium.com/v2/resize:fit:640/format:webp/1*H3L3EH3Jh6kWFmbec0ewKA.png) ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. From a2c1d8bcc484eafcb381f404d290a1792db527fe Mon Sep 17 00:00:00 2001 From: Shraman Jain <60072287+Shraman-jain@users.noreply.github.com> Date: Tue, 4 Jun 2024 22:42:07 +0530 Subject: [PATCH 014/174] Update index.md add threading.md --- contrib/advanced-python/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/advanced-python/index.md b/contrib/advanced-python/index.md index b31544eb..552025a1 100644 --- a/contrib/advanced-python/index.md +++ b/contrib/advanced-python/index.md @@ -10,3 +10,4 @@ - [Protocols](protocols.md) - [Exception Handling in Python](exception-handling.md) - [Generators](generators.md) +- [Threading](threading.md) From ca4ce0620a9840af9e39f649e87166d4c0a895eb Mon Sep 17 00:00:00 2001 From: Shraman Jain <60072287+Shraman-jain@users.noreply.github.com> Date: Tue, 4 Jun 2024 22:44:27 +0530 Subject: [PATCH 015/174] Create threading.md --- contrib/advanced-python/threading.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 contrib/advanced-python/threading.md diff --git a/contrib/advanced-python/threading.md b/contrib/advanced-python/threading.md new file mode 100644 index 00000000..85b5f4bf --- /dev/null +++ b/contrib/advanced-python/threading.md @@ -0,0 +1 @@ +#Threading From e9eb68ab3832ec651264b967de709ee8ae41af5f Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Tue, 4 Jun 2024 23:28:27 +0530 Subject: [PATCH 016/174] Update K-Means_Clustering.md --- contrib/machine-learning/K-Means_Clustering.md | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index ab5fba93..c6aee6a7 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -15,7 +15,6 @@ The K-means algorithm strategically assigns each data point to a cluster such th ## The Meaning Behind "K-Means" The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. ## K-Means Algorithm in Action -![enter image description here](https://d3i71xaburhd42.cloudfront.net/2f49631bb3103a61fbc3045dd035c3d8f2175887/11-Figure2-1.png) The K-means algorithm follows an iterative approach to optimize cluster formation: 1. **Initial Centroid Placement:** The process begins with randomly selecting k centroids to serve as initial reference points for each cluster. @@ -66,13 +65,13 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio predicted_cluster = kmeans.predict(new_data_reshaped) print("Predicted cluster for new data:", predicted_cluster) - ### Output: - Before Implementing K-Means Clustering -![Before Implementing K-Means Clustering](https://miro.medium.com/v2/resize:fit:640/format:webp/1*jnyQxmEj7rFhazeMH7KXVg.png) + ### Output: +![Before Implementing K-Means Clustering](data:image/png;base64,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) - After Implementing K-Means Clustering - ![enter image description here](https://miro.medium.com/v2/resize:fit:640/format:webp/1*H3L3EH3Jh6kWFmbec0ewKA.png) + + ![After Implementing K-Means Clustering](data:image/png;base64,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+ Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. 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z!s>5(N}+(ZYo14FzRtNg^TU^uiyqHBaGpQV4i=4`3*N;iYFt-VS!I<~R#|10RaRLg arT+(~s&-lbfZ;O$0000 Date: Tue, 4 Jun 2024 23:41:27 +0530 Subject: [PATCH 018/174] Update K-Means_Clustering.md --- contrib/machine-learning/K-Means_Clustering.md | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index c6aee6a7..82a5c83e 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -7,7 +7,7 @@ Unlike supervised learning algorithms that rely on labeled data for training, un ## The K-Means Objective Organize similar data points into clusters to unveil underlying patterns. The main objective is to minimize total intra-cluster variance or the squared function. -![enter image description here](https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQnDTFfxrrAttYMwwjZV0RAA8J8rmUxgrnWc2gU_ArEqrxEMlHm) +![image](assets/Knm.png) ## Clusters and Centroids A cluster represents a collection of data points that share similar characteristics. K-means identifies a pre-determined number (k) of clusters within the dataset. Each cluster is represented by a centroid, which acts as its central point (imaginary or real). ## Minimizing In-Cluster Variation @@ -15,6 +15,7 @@ The K-means algorithm strategically assigns each data point to a cluster such th ## The Meaning Behind "K-Means" The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. ## K-Means Algorithm in Action +![image](assets/Km_.png) The K-means algorithm follows an iterative approach to optimize cluster formation: 1. **Initial Centroid Placement:** The process begins with randomly selecting k centroids to serve as initial reference points for each cluster. @@ -66,11 +67,11 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio print("Predicted cluster for new data:", predicted_cluster) ### Output: -![Before Implementing K-Means Clustering](data:image/png;base64,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) + Before Implementing K-Means Clustering +![Before Implementing K-Means Clustering](assets/Km_2.png) - - - ![After Implementing K-Means Clustering](data:image/png;base64,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) + After Implementing K-Means Clustering + ![After Implementing K-Means Clustering](assets/Km_3.png) Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. From d65dce72e10873a2554cbc37b00fab868fdfb0d5 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Tue, 4 Jun 2024 23:46:20 +0530 Subject: [PATCH 019/174] update k-means --- contrib/machine-learning/K-Means_Clustering.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index 82a5c83e..bf72ffd5 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -7,7 +7,7 @@ Unlike supervised learning algorithms that rely on labeled data for training, un ## The K-Means Objective Organize similar data points into clusters to unveil underlying patterns. The main objective is to minimize total intra-cluster variance or the squared function. -![image](assets/Knm.png) +![image](assets\knm.png) ## Clusters and Centroids A cluster represents a collection of data points that share similar characteristics. K-means identifies a pre-determined number (k) of clusters within the dataset. Each cluster is represented by a centroid, which acts as its central point (imaginary or real). ## Minimizing In-Cluster Variation @@ -15,7 +15,7 @@ The K-means algorithm strategically assigns each data point to a cluster such th ## The Meaning Behind "K-Means" The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. ## K-Means Algorithm in Action -![image](assets/Km_.png) +![image](assets\km_.png) The K-means algorithm follows an iterative approach to optimize cluster formation: 1. **Initial Centroid Placement:** The process begins with randomly selecting k centroids to serve as initial reference points for each cluster. @@ -68,10 +68,10 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio ### Output: Before Implementing K-Means Clustering -![Before Implementing K-Means Clustering](assets/Km_2.png) +![Before Implementing K-Means Clustering](assets\km_2.png) After Implementing K-Means Clustering - ![After Implementing K-Means Clustering](assets/Km_3.png) + ![After Implementing K-Means Clustering](assets\km_3.png) Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. From 7bc7b0621eb59fa6e85c076885d1e18d2f103847 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Wed, 5 Jun 2024 11:26:57 +0530 Subject: [PATCH 020/174] Update K-Means_Clustering.md --- contrib/machine-learning/K-Means_Clustering.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index bf72ffd5..859636bf 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -7,7 +7,7 @@ Unlike supervised learning algorithms that rely on labeled data for training, un ## The K-Means Objective Organize similar data points into clusters to unveil underlying patterns. The main objective is to minimize total intra-cluster variance or the squared function. -![image](assets\knm.png) +![image](assets/knm.png) ## Clusters and Centroids A cluster represents a collection of data points that share similar characteristics. K-means identifies a pre-determined number (k) of clusters within the dataset. Each cluster is represented by a centroid, which acts as its central point (imaginary or real). ## Minimizing In-Cluster Variation @@ -15,7 +15,7 @@ The K-means algorithm strategically assigns each data point to a cluster such th ## The Meaning Behind "K-Means" The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. ## K-Means Algorithm in Action -![image](assets\km_.png) +![image](assets/km_.png) The K-means algorithm follows an iterative approach to optimize cluster formation: 1. **Initial Centroid Placement:** The process begins with randomly selecting k centroids to serve as initial reference points for each cluster. @@ -68,10 +68,11 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio ### Output: Before Implementing K-Means Clustering -![Before Implementing K-Means Clustering](assets\km_2.png) +![Before Implementing K-Means Clustering](assets/km_2.png) After Implementing K-Means Clustering - ![After Implementing K-Means Clustering](assets\km_3.png) + ![After Implementing K-Means Clustering](assets/km_3.png) + Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. From 92571f619700a05019853aff0230015fe4b85a2d Mon Sep 17 00:00:00 2001 From: saiumasankar Date: Wed, 5 Jun 2024 11:29:23 +0530 Subject: [PATCH 021/174] update dynamic programming Added LIS problem and Tabulation code of LCS and 0-1 Knapsack --- contrib/ds-algorithms/dynamic-programming.md | 124 ++++++++++++++++++- 1 file changed, 121 insertions(+), 3 deletions(-) diff --git a/contrib/ds-algorithms/dynamic-programming.md b/contrib/ds-algorithms/dynamic-programming.md index 43149f86..54c6fcbf 100644 --- a/contrib/ds-algorithms/dynamic-programming.md +++ b/contrib/ds-algorithms/dynamic-programming.md @@ -84,8 +84,32 @@ Y = "GXTXAYB" print("Length of Longest Common Subsequence:", longest_common_subsequence(X, Y, len(X), len(Y))) ``` +## Longest Common Subsequence Code in Python (Bottom-Up Approach) + +```python + +def longestCommonSubsequence(X, Y, m, n): + L = [[None]*(n+1) for i in range(m+1)] + for i in range(m+1): + for j in range(n+1): + if i == 0 or j == 0: + L[i][j] = 0 + elif X[i-1] == Y[j-1]: + L[i][j] = L[i-1][j-1]+1 + else: + L[i][j] = max(L[i-1][j], L[i][j-1]) + return L[m][n] + + +S1 = "AGGTAB" +S2 = "GXTXAYB" +m = len(S1) +n = len(S2) +print("Length of LCS is", longestCommonSubsequence(S1, S2, m, n)) +``` + ## Complexity Analysis -- **Time Complexity**: O(m * n) for the top-down approach, where m and n are the lengths of the input sequences +- **Time Complexity**: O(m * n) for both approaches, where m and n are the lengths of the input sequences - **Space Complexity**: O(m * n) for the memoization table
    @@ -122,11 +146,105 @@ capacity = 50 n = len(weights) print("Maximum value that can be obtained:", knapsack(weights, values, capacity, n)) ``` +## 0-1 Knapsack Problem Code in Python (Bottom-up Approach) + +```python +def knapSack(capacity, weights, values, n): + K = [[0 for x in range(capacity + 1)] for x in range(n + 1)] + for i in range(n + 1): + for w in range(capacity + 1): + if i == 0 or w == 0: + K[i][w] = 0 + elif weights[i-1] <= w: + K[i][w] = max(values[i-1] + + K[i-1][w-weights[i-1]], + K[i-1][w]) + else: + K[i][w] = K[i-1][w] + + return K[n][capacity] +values = [60, 100, 120] +weights = [10, 20, 30] +capacity = 50 +n = len(weights) +print(knapSack(capacity, weights, values, n)) +``` ## Complexity Analysis -- **Time Complexity**: O(n * W) for the top-down approach, where n is the number of items and W is the capacity of the knapsack +- **Time Complexity**: O(n * W) for both approaches, where n is the number of items and W is the capacity of the knapsack - **Space Complexity**: O(n * W) for the memoization table

    -
    \ No newline at end of file +
    + +# 4. Longest Increasing Subsequence + +The Longest Increasing Subsequence (LIS) is a task is to find the longest subsequence that is strictly increasing, meaning each element in the subsequence is greater than the one before it. This subsequence must maintain the order of elements as they appear in the original sequence but does not need to be contiguous. The goal is to identify the subsequence with the maximum possible length. + +**Algorithm Overview:** +- **Base cases:** If the sequence is empty, the LIS length is 0. +- **Memoization:** Store the results of previously computed subproblems to avoid redundant computations. +- **Recurrence relation:** Compute the LIS length by comparing characters of the sequences and making decisions based on their values. + +## Longest Increasing Subsequence Code in Python (Top-Down Approach using Memoization) + +```python + +import sys + +def f(idx, prev_idx, n, a, dp): + if (idx == n): + return 0 + + if (dp[idx][prev_idx + 1] != -1): + return dp[idx][prev_idx + 1] + + notTake = 0 + f(idx + 1, prev_idx, n, a, dp) + take = -sys.maxsize - 1 + if (prev_idx == -1 or a[idx] > a[prev_idx]): + take = 1 + f(idx + 1, idx, n, a, dp) + + dp[idx][prev_idx + 1] = max(take, notTake) + return dp[idx][prev_idx + 1] + +def longestSubsequence(n, a): + + dp = [[-1 for i in range(n + 1)]for j in range(n + 1)] + return f(0, -1, n, a, dp) + +a = [3, 10, 2, 1, 20] +n = len(a) + +print("Length of lis is", longestSubsequence(n, a)) + +``` + +## Longest Increasing Subsequence Code in Python (Bottom-Up Approach) + +```python +def lis(arr): + n = len(arr) + lis = [1]*n + + for i in range(1, n): + for j in range(0, i): + if arr[i] > arr[j] and lis[i] < lis[j] + 1: + lis[i] = lis[j]+1 + + maximum = 0 + for i in range(n): + maximum = max(maximum, lis[i]) + + return maximum + +arr = [10, 22, 9, 33, 21, 50, 41, 60] +print("Length of lis is", lis(arr)) +``` +## Complexity Analysis +- **Time Complexity**: O(n * n) for both approaches, where n is the length of the array. +- **Space Complexity**: O(n * n) for the memoization table in Top-Down Approach, O(n) in Bottom-Up Approach. + +
    +
    +
    From f742fddff366a0eff24520c8ee292b81d2188d45 Mon Sep 17 00:00:00 2001 From: saiumasankar Date: Wed, 5 Jun 2024 17:28:33 +0530 Subject: [PATCH 022/174] Adding the BeautifulSoup web scrapping --- contrib/web-scrapping/beautifulsoup.md | 206 +++++++++++++++++++++++++ contrib/web-scrapping/index.md | 1 + 2 files changed, 207 insertions(+) create mode 100644 contrib/web-scrapping/beautifulsoup.md diff --git a/contrib/web-scrapping/beautifulsoup.md b/contrib/web-scrapping/beautifulsoup.md new file mode 100644 index 00000000..372b8f29 --- /dev/null +++ b/contrib/web-scrapping/beautifulsoup.md @@ -0,0 +1,206 @@ +# Beautiful Soup Library in Python + +## Table of Contents +1. Introduction +2. Prerequisites +3. Setting Up Environment +4. Beautiful Soup Objects +5. Tag object +6. Children, Parents and Siblings +7. Filter: Findall method +8. Web Scraping the Contents of a Web Page + +## 1. Introduction +Beautiful Soup is a Python library used for web scraping purposes to extract data from HTML and XML files. It creates a parse tree for parsed pages that can be used to extract data easily. + +## 2. Prerequisites +- Understanding of HTTP Requests and Responses. +- Understanding of HTTP methods (GET method). +- Basic Knowledge on HTML. +- Python installed on your machine (version 3.6 or higher). +- pip (Python package installer) installed. + +## 3. Setting Up Environment +1.**Install latest version of Python:** Go to Python.org and Download the latest version of Python. + +2.**Install a IDE:** Install any IDE of your choice to code. VS code is preferred. +>Note: You can use Google Colab without installing Python and IDE. + +3.**Install Beautiful Soup:** +```python +!pip install bs4 +``` + +## 4. Beautiful Soup Objects +Beautiful Soup is a Python library for pulling data out of HTML and XML files. This can be done by presenting the HTML as a set of objects. + +Take the below HTML page as input +``` + + + +Page Title + + +

    Title

    +

    This is the main context of the page

    + + +``` + +lets store the HTML code in a variable +``` +html= " + + + Page Title + + +

    Title

    +

    This is the main context of the page

    + + " +``` + +To parse the HTML document, pass the variable to the `BeautifulSoup` Constructor. +``` +soup = BeautifulSoup(html,'html.parser') +``` +Beautiful Soup transforms a complex HTML document into a complex tree of Python objects. + +## 5. Tags + +The Tag object corresponds to an HTML tag in the original document. + +``` +tag_obj = soup.title +print("tag object:", tag_obj) +print("tag object type:",type(tag_obj)) +``` +``` +Result: +tag object: Page Title + +tag object type: +``` + +## 6. Children, Parent and Siblings + +We can access the child of the tag or navigate down. + +``` +tag_obj = soup.h3 +child = tag_obj.b +print(child) +parent = child.parent +print(parent) +sib = tag_obj.next_sibling +print(sib); +``` +``` +Result: + Title +

    Title

    +

    This is the main context of the page

    +``` + +> We need to mention the child to which we want to navigate. It is because there can be more than one child to a tag but only one parent and next sibling. + +**Navigable String:** A string corresponds to a bit of text or content within a tag. Beautiful Soup uses the NavigableString class to contain this text. + +``` +tagstr = child.string +print(tagstr) +``` +``` +Result: +Title +``` + +## 7. Filter + +Filters allow you to find complex patterns, the simplest filter is a string. + +Consider the following HTML code: + +``` + + + + + + Sample Table + + +

    Sample Table

    + + + + + + + + + + + + + + + + + + + + + + + + + +
    NameAgeCity
    John Doe28New York
    Jane Smith34Los Angeles
    Emily Jones23Chicago
    + + + +``` +Store the above code in a variable. +``` +table = " + + + + + Sample Table +.............. + +table_bs = BeautifulSoup(table, 'html.parser') +" +``` +**Find All:** The find_all() method looks through a tag’s descendants and retrieves all descendants that match your filters. It places all the objects in a list. We can access by indexing. + +## 8. Web Scraping the Contents of a Web Page + +1. Get the URL of the webpage we need to scrape. + +2. Get the HTML content by using `get` method in HTTP request. + +3. Pass the HTML content to the BeautifulSoup Constructor to prepare an object. + +4. Access the HTML elements using Tag name. + +Below is the code to extract the img tags in a wikipedia page. + +``` +import requests +!pip install bs4 +from bs4 import BeautifulSoup + +url = "https://en.wikipedia.org/wiki/Encyclopedia" +data = requests.get(url).text +soup = BeautifulSoup(data,"html.parser") + +for link in soup.find_all('a'): + print(link) + print(link.get('src')) +``` +We can retrieve any data in the webpage by access through the tags. diff --git a/contrib/web-scrapping/index.md b/contrib/web-scrapping/index.md index 276014ea..29f558aa 100644 --- a/contrib/web-scrapping/index.md +++ b/contrib/web-scrapping/index.md @@ -2,3 +2,4 @@ - [Section title](filename.md) - [Introduction to Flask](flask.md) +- [Web Scrapping Using Beautiful Soup](beautifulsoup.md) From 2647dbc3678d8380da938bc2ff02cb2243fc37b1 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Sat, 8 Jun 2024 11:48:48 +0530 Subject: [PATCH 023/174] Update index.md --- contrib/ds-algorithms/index.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 2263620d..b18b79ac 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -13,4 +13,6 @@ - [Stacks in Python](stacks.md) - [Sliding Window Technique](sliding-window.md) - [Trie](trie.md) +- [Two Pointer Technique](two-pointer-technique.md) +- [Hashing through Linear Probing](hashing-linear-probing.md) - [Dijkstra's Algorithm](Dijkstra's_algorithm.md) From 7c5e89c0baf3612bd1af5916cc7571d6d36e516c Mon Sep 17 00:00:00 2001 From: Krishna Kaushik <131583096+kRiShNa-429407@users.noreply.github.com> Date: Sat, 8 Jun 2024 13:24:12 +0530 Subject: [PATCH 024/174] Add files via upload --- .../machine-learning/PyTorch_Fundamentals.md | 427 ++++++++++++++++++ 1 file changed, 427 insertions(+) create mode 100644 contrib/machine-learning/PyTorch_Fundamentals.md diff --git a/contrib/machine-learning/PyTorch_Fundamentals.md b/contrib/machine-learning/PyTorch_Fundamentals.md new file mode 100644 index 00000000..a504ffc1 --- /dev/null +++ b/contrib/machine-learning/PyTorch_Fundamentals.md @@ -0,0 +1,427 @@ +# PyTorch Fundamentals + + +```python +# Import pytorch in our codespace +import torch +print(torch.__version__) +``` + + 2.3.0+cu121 + + +2.3.0 is the pytorch version and 121 is the cuda version + +Now you have already seen how to create a tensor in pytorch. In this notebook i am going to show you the operations which can be applied on a tensor with a quick previous revision. + +### 1. Creating tensors + + +```python +# Scalar tensor ( a zero dimension tensor) +scalar = torch.tensor(7) +print(scalar) +``` + + tensor(7) + + + +```python +# Check the dimension of the above tensor +print(scalar.ndim) +``` + + 0 + + + +```python +# To retrieve the number from the tensor we use `item()` +print(scalar.item()) +``` + + 7 + + + +```python +# Vector (It is a single dimension tensor but contain many numbers) +vector = torch.tensor([1,2]) +print(vector) +``` + + tensor([1, 2]) + + + +```python +# Check the dimensions +print(vector.ndim) +``` + + 1 + + + +```python +# Check the shape of the vector +print(vector.shape) +``` + + torch.Size([2]) + + +The above returns torch.Size([2]) which means our vector has a shape of [2]. This is because of the two elements we placed inside the square brackets ([1,2]) + +Note: +I'll let you in on a trick. + +You can tell the number of dimensions a tensor in PyTorch has by the number of square brackets on the outside ([) and you only need to count one side. + + +```python +# Let's create a matrix +MATRIX = torch.tensor([[1,2], + [4,5]]) +print(MATRIX) +``` + + tensor([[1, 2], + [4, 5]]) + + +There are two brackets so it must be 2 dimensions , lets check + + +```python +print(MATRIX.ndim) +``` + + 2 + + + +```python +# Shape +print(MATRIX.shape) +``` + + torch.Size([2, 2]) + + +It means MATRIX has 2 rows and 2 columns. + + +```python +# Let's create a TENSOR +TENSOR = torch.tensor([[[1,2,3], + [4,5,6], + [7,8,9]]]) +print(TENSOR) +``` + + tensor([[[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]]) + + + +```python +# Let's check the dimensions +print(TENSOR.ndim) +``` + + 3 + + + +```python +# shape? +print(TENSOR.shape) +``` + + torch.Size([1, 3, 3]) + + +The dimensions go outer to inner. + +That means there's 1 dimension of 3 by 3. + +##### Let's summarise + +* scalar -> a single number having 0 dimension. +* vector -> have many numbers but having 1 dimension. +* matrix -> a array of numbers having 2 dimensions. +* tensor -> a array of numbers having n dimensions. + +### Random Tensors + +We can create them using `torch.rand()` and passing in the `size` parameter. + + +```python +# creating a random tensor of size (3,4) +rand_tensor = torch.rand(size = (3,4)) +print(rand_tensor) +``` + + tensor([[0.7462, 0.4950, 0.7851, 0.8277], + [0.6112, 0.5159, 0.1728, 0.6847], + [0.4472, 0.1612, 0.6481, 0.3236]]) + + + +```python +# Check the dimensions +print(rand_tensor.ndim) +``` + + 2 + + + +```python +# Shape +print(rand_tensor.shape) +``` + + torch.Size([3, 4]) + + + +```python +# datatype +print(rand_tensor.dtype) +``` + + torch.float32 + + +### Zeros and ones + +Here we will create a tensor of any shape filled with zeros and ones + + +```python +# Create a tensor of all zeros +zeros = torch.zeros(size = (3,4)) +print(zeros) +``` + + tensor([[0., 0., 0., 0.], + [0., 0., 0., 0.], + [0., 0., 0., 0.]]) + + + +```python +# create a tensor of ones +ones = torch.ones(size = (3,4)) +print(ones) +``` + + tensor([[1., 1., 1., 1.], + [1., 1., 1., 1.], + [1., 1., 1., 1.]]) + + +### Create a tensor having range of numbers + +You can use `torch.arange(start, end, step)` to do so. + +Where: + +* start = start of range (e.g. 0) +* end = end of range (e.g. 10) +* step = how many steps in between each value (e.g. 1) + +> Note: In Python, you can use range() to create a range. However in PyTorch, torch.range() is deprecated show error, show use `torch.arange()` + + +```python +zero_to_ten = torch.arange(start = 0, + end = 10, + step = 1) +print(zero_to_ten) +``` + + tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + + +# 2. Manipulating tensors (tensor operations) + +The operations are : + +* Addition +* Substraction +* Multiplication (element-wise) +* Division +* Matrix multiplication + +### 1. Addition + + +```python +tensor = torch.tensor([1,2,3]) +print(tensor+10) +``` + + tensor([11, 12, 13]) + + +We have add 10 to each tensor element. + + +```python +tensor1 = torch.tensor([4,5,6]) +print(tensor+tensor1) +``` + + tensor([5, 7, 9]) + + +We have added two tensors , remember that addition takes place element wise. + +### 2. Subtraction + + +```python +print(tensor-8) +``` + + tensor([-7, -6, -5]) + + +We've subtracted 8 from the above tensor. + + +```python +print(tensor-tensor1) +``` + + tensor([-3, -3, -3]) + + +### 3. Multiplication + + +```python +# Multiply the tensor with 10 (element wise) +print(tensor*10) +``` + + tensor([10, 20, 30]) + + +Each element of tensor gets multiplied by 10. + +Note: + +PyTorch also has a bunch of built-in functions like `torch.mul()` (short for multiplication) and `torch.add()` to perform basic operations. + + +```python +# let's see them +print(torch.add(tensor,10)) +``` + + tensor([11, 12, 13]) + + + +```python +print(torch.mul(tensor,10)) +``` + + tensor([10, 20, 30]) + + +### Matrix multiplication (is all you need) +One of the most common operations in machine learning and deep learning algorithms (like neural networks) is matrix multiplication. + +PyTorch implements matrix multiplication functionality in the `torch.matmul()` method. + +The main two rules for matrix multiplication to remember are: + +The inner dimensions must match: +* (3, 2) @ (3, 2) won't work +* (2, 3) @ (3, 2) will work +* (3, 2) @ (2, 3) will work +The resulting matrix has the shape of the outer dimensions: +* (2, 3) @ (3, 2) -> (2, 2) +* (3, 2) @ (2, 3) -> (3, 3) + + +Note: "@" in Python is the symbol for matrix multiplication. + + +```python +# let's perform the matrix multiplication +tensor1 = torch.tensor([[[1,2,3], + [4,5,6], + [7,8,9]]]) +tensor2 = torch.tensor([[[1,1,1], + [2,2,2], + [3,3,3]]]) + +print(tensor1) , print(tensor2) +``` + + tensor([[[1, 2, 3], + [4, 5, 6], + [7, 8, 9]]]) + tensor([[[1, 1, 1], + [2, 2, 2], + [3, 3, 3]]]) + + + + + + (None, None) + + + + +```python +# let's check the shape +print(tensor1.shape) , print(tensor2.shape) +``` + + torch.Size([1, 3, 3]) + torch.Size([1, 3, 3]) + + + + + + (None, None) + + + + +```python + # Matrix multiplication +print(torch.matmul(tensor1, tensor2)) +``` + + tensor([[[14, 14, 14], + [32, 32, 32], + [50, 50, 50]]]) + + + +```python +# Can also use the "@" symbol for matrix multiplication, though not recommended +print(tensor1 @ tensor2) +``` + + tensor([[[14, 14, 14], + [32, 32, 32], + [50, 50, 50]]]) + + +Note: + +If shape is not perfect you can transpose the tensor and perform the matrix multiplication. From 03e9338a91c16d46dc36bc46d2c5b5ca223b81fc Mon Sep 17 00:00:00 2001 From: Krishna Kaushik <131583096+kRiShNa-429407@users.noreply.github.com> Date: Sat, 8 Jun 2024 13:34:39 +0530 Subject: [PATCH 025/174] Update index.md --- contrib/machine-learning/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 0bf39f98..b52371a0 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -20,3 +20,4 @@ - [Grid Search](grid-search.md) - [Transformers](transformers.md) - [K-nearest neighbor (KNN)](knn.md) +- [PyTorch Fundamentals](PyTorch_Fundamentals.md) From b2643ad26d31b8e70e3bb41842745bb9f3129716 Mon Sep 17 00:00:00 2001 From: saiumasankar Date: Sat, 8 Jun 2024 15:03:43 +0530 Subject: [PATCH 026/174] deleting unnecessary --- contrib/web-scrapping/beautifulsoup.md | 206 ------------------------- contrib/web-scrapping/index.md | 1 - 2 files changed, 207 deletions(-) delete mode 100644 contrib/web-scrapping/beautifulsoup.md diff --git a/contrib/web-scrapping/beautifulsoup.md b/contrib/web-scrapping/beautifulsoup.md deleted file mode 100644 index 372b8f29..00000000 --- a/contrib/web-scrapping/beautifulsoup.md +++ /dev/null @@ -1,206 +0,0 @@ -# Beautiful Soup Library in Python - -## Table of Contents -1. Introduction -2. Prerequisites -3. Setting Up Environment -4. Beautiful Soup Objects -5. Tag object -6. Children, Parents and Siblings -7. Filter: Findall method -8. Web Scraping the Contents of a Web Page - -## 1. Introduction -Beautiful Soup is a Python library used for web scraping purposes to extract data from HTML and XML files. It creates a parse tree for parsed pages that can be used to extract data easily. - -## 2. Prerequisites -- Understanding of HTTP Requests and Responses. -- Understanding of HTTP methods (GET method). -- Basic Knowledge on HTML. -- Python installed on your machine (version 3.6 or higher). -- pip (Python package installer) installed. - -## 3. Setting Up Environment -1.**Install latest version of Python:** Go to Python.org and Download the latest version of Python. - -2.**Install a IDE:** Install any IDE of your choice to code. VS code is preferred. ->Note: You can use Google Colab without installing Python and IDE. - -3.**Install Beautiful Soup:** -```python -!pip install bs4 -``` - -## 4. Beautiful Soup Objects -Beautiful Soup is a Python library for pulling data out of HTML and XML files. This can be done by presenting the HTML as a set of objects. - -Take the below HTML page as input -``` - - - -Page Title - - -

    Title

    -

    This is the main context of the page

    - - -``` - -lets store the HTML code in a variable -``` -html= " - - - Page Title - - -

    Title

    -

    This is the main context of the page

    - - " -``` - -To parse the HTML document, pass the variable to the `BeautifulSoup` Constructor. -``` -soup = BeautifulSoup(html,'html.parser') -``` -Beautiful Soup transforms a complex HTML document into a complex tree of Python objects. - -## 5. Tags - -The Tag object corresponds to an HTML tag in the original document. - -``` -tag_obj = soup.title -print("tag object:", tag_obj) -print("tag object type:",type(tag_obj)) -``` -``` -Result: -tag object: Page Title - -tag object type: -``` - -## 6. Children, Parent and Siblings - -We can access the child of the tag or navigate down. - -``` -tag_obj = soup.h3 -child = tag_obj.b -print(child) -parent = child.parent -print(parent) -sib = tag_obj.next_sibling -print(sib); -``` -``` -Result: - Title -

    Title

    -

    This is the main context of the page

    -``` - -> We need to mention the child to which we want to navigate. It is because there can be more than one child to a tag but only one parent and next sibling. - -**Navigable String:** A string corresponds to a bit of text or content within a tag. Beautiful Soup uses the NavigableString class to contain this text. - -``` -tagstr = child.string -print(tagstr) -``` -``` -Result: -Title -``` - -## 7. Filter - -Filters allow you to find complex patterns, the simplest filter is a string. - -Consider the following HTML code: - -``` - - - - - - Sample Table - - -

    Sample Table

    - - - - - - - - - - - - - - - - - - - - - - - - - -
    NameAgeCity
    John Doe28New York
    Jane Smith34Los Angeles
    Emily Jones23Chicago
    - - - -``` -Store the above code in a variable. -``` -table = " - - - - - Sample Table -.............. - -table_bs = BeautifulSoup(table, 'html.parser') -" -``` -**Find All:** The find_all() method looks through a tag’s descendants and retrieves all descendants that match your filters. It places all the objects in a list. We can access by indexing. - -## 8. Web Scraping the Contents of a Web Page - -1. Get the URL of the webpage we need to scrape. - -2. Get the HTML content by using `get` method in HTTP request. - -3. Pass the HTML content to the BeautifulSoup Constructor to prepare an object. - -4. Access the HTML elements using Tag name. - -Below is the code to extract the img tags in a wikipedia page. - -``` -import requests -!pip install bs4 -from bs4 import BeautifulSoup - -url = "https://en.wikipedia.org/wiki/Encyclopedia" -data = requests.get(url).text -soup = BeautifulSoup(data,"html.parser") - -for link in soup.find_all('a'): - print(link) - print(link.get('src')) -``` -We can retrieve any data in the webpage by access through the tags. diff --git a/contrib/web-scrapping/index.md b/contrib/web-scrapping/index.md index 29f558aa..276014ea 100644 --- a/contrib/web-scrapping/index.md +++ b/contrib/web-scrapping/index.md @@ -2,4 +2,3 @@ - [Section title](filename.md) - [Introduction to Flask](flask.md) -- [Web Scrapping Using Beautiful Soup](beautifulsoup.md) From c2c84a09d21445382fc535a99d2745d8a8be0a29 Mon Sep 17 00:00:00 2001 From: Kosuri Indu Date: Sat, 8 Jun 2024 19:10:46 +0530 Subject: [PATCH 027/174] Added Splay Trees in DSA section --- contrib/ds-algorithms/index.md | 3 +- contrib/ds-algorithms/splay-trees.md | 162 +++++++++++++++++++++++++++ 2 files changed, 164 insertions(+), 1 deletion(-) create mode 100644 contrib/ds-algorithms/splay-trees.md diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 9c05b15e..e099f978 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -15,4 +15,5 @@ - [Trie](trie.md) - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) -- [Hashing through Chaining](hashing-chaining.md) \ No newline at end of file +- [Hashing through Chaining](hashing-chaining.md) +- [Splay Trees](splay-trees.md) \ No newline at end of file diff --git a/contrib/ds-algorithms/splay-trees.md b/contrib/ds-algorithms/splay-trees.md new file mode 100644 index 00000000..ee900ed8 --- /dev/null +++ b/contrib/ds-algorithms/splay-trees.md @@ -0,0 +1,162 @@ +# Splay Tree + +In Data Structures and Algorithms, a **Splay Tree** is a self-adjusting binary search tree with the additional property that recently accessed elements are quick to access again. It performs basic operations such as insertion, search, and deletion in O(log n) amortized time. This is achieved by a process called **splaying**, where the accessed node is moved to the root through a series of tree rotations. + +## Points to be Remembered + +- **Splaying**: Moving the accessed node to the root using rotations. +- **Rotations**: Tree rotations (left and right) are used to balance the tree during splaying. +- **Self-adjusting**: The tree adjusts itself with each access, keeping frequently accessed nodes near the root. + +## Real Life Examples of Splay Trees + +- **Cache Implementation**: Frequently accessed data is kept near the top of the tree, making repeated accesses faster. +- **Networking**: Routing tables in network switches can use splay trees to prioritize frequently accessed routes. + +## Applications of Splay Trees + +Splay trees are used in various applications in Computer Science: + +- **Cache Implementations** +- **Garbage Collection Algorithms** +- **Data Compression Algorithms (e.g., LZ78)** + +Understanding these applications is essential for Software Development. + +## Operations in Splay Tree + +Key operations include: + +- **INSERT**: Insert a new element into the splay tree. +- **SEARCH**: Find the position of an element in the splay tree. +- **DELETE**: Remove an element from the splay tree. + +## Implementing Splay Tree in Python + +```python +class SplayTreeNode: + def __init__(self, key): + self.key = key + self.left = None + self.right = None + +class SplayTree: + def __init__(self): + self.root = None + + def insert(self, key): + self.root = self.splay_insert(self.root, key) + + def search(self, key): + self.root = self.splay_search(self.root, key) + return self.root + + def splay(self, root, key): + if not root or root.key == key: + return root + + if root.key > key: + if not root.left: + return root + if root.left.key > key: + root.left.left = self.splay(root.left.left, key) + root = self.rotateRight(root) + elif root.left.key < key: + root.left.right = self.splay(root.left.right, key) + if root.left.right: + root.left = self.rotateLeft(root.left) + return root if not root.left else self.rotateRight(root) + + else: + if not root.right: + return root + if root.right.key > key: + root.right.left = self.splay(root.right.left, key) + if root.right.left: + root.right = self.rotateRight(root.right) + elif root.right.key < key: + root.right.right = self.splay(root.right.right, key) + root = self.rotateLeft(root) + return root if not root.right else self.rotateLeft(root) + + def splay_insert(self, root, key): + if not root: + return SplayTreeNode(key) + + root = self.splay(root, key) + + if root.key == key: + return root + + new_node = SplayTreeNode(key) + + if root.key > key: + new_node.right = root + new_node.left = root.left + root.left = None + else: + new_node.left = root + new_node.right = root.right + root.right = None + + return new_node + + def splay_search(self, root, key): + return self.splay(root, key) + + def rotateRight(self, node): + temp = node.left + node.left = temp.right + temp.right = node + return temp + + def rotateLeft(self, node): + temp = node.right + node.right = temp.left + temp.left = node + return temp + + def preOrder(self, root): + if root: + print(root.key, end=' ') + self.preOrder(root.left) + self.preOrder(root.right) + +#Example usage: +splay_tree = SplayTree() +splay_tree.insert(50) +splay_tree.insert(30) +splay_tree.insert(20) +splay_tree.insert(40) +splay_tree.insert(70) +splay_tree.insert(60) +splay_tree.insert(80) + +print("Preorder traversal of the Splay tree is:") +splay_tree.preOrder(splay_tree.root) + +splay_tree.search(60) + +print("\nSplay tree after search operation for key 60:") +splay_tree.preOrder(splay_tree.root) +``` + +## Output + +```markdown +Preorder traversal of the Splay tree is: +50 30 20 40 70 60 80 + +Splay tree after search operation for key 60: +60 50 30 20 40 70 80 +``` + +## Complexity Analysis + +The worst-case time complexities of the main operations in a Splay Tree are as follows: + +- **Insertion**: (O(n)). In the worst case, insertion may take linear time if the tree is highly unbalanced. +- **Search**: (O(n)). In the worst case, searching for a node may take linear time if the tree is highly unbalanced. +- **Deletion**: (O(n)). In the worst case, deleting a node may take linear time if the tree is highly unbalanced. + +While these operations can take linear time in the worst case, the splay operation ensures that the tree remains balanced over a sequence of operations, leading to better average-case performance. \ No newline at end of file From 0b301cb533e10345a68b98de1d8d2c4ee076102f Mon Sep 17 00:00:00 2001 From: Saimanjari777 Date: Sat, 8 Jun 2024 21:14:05 +0530 Subject: [PATCH 028/174] Added hash-tables, sets, and maps added --- contrib/ds-algorithms/hash-tables.md | 212 +++++++++++++++++++++++++++ contrib/ds-algorithms/index.md | 3 +- 2 files changed, 214 insertions(+), 1 deletion(-) create mode 100644 contrib/ds-algorithms/hash-tables.md diff --git a/contrib/ds-algorithms/hash-tables.md b/contrib/ds-algorithms/hash-tables.md new file mode 100644 index 00000000..f03b7c5e --- /dev/null +++ b/contrib/ds-algorithms/hash-tables.md @@ -0,0 +1,212 @@ +# Data Structures: Hash Tables, Hash Sets, and Hash Maps + +## Table of Contents +- [Introduction](#introduction) +- [Hash Tables](#hash-tables) + - [Overview](#overview) + - [Operations](#operations) +- [Hash Sets](#hash-sets) + - [Overview](#overview-1) + - [Operations](#operations-1) +- [Hash Maps](#hash-maps) + - [Overview](#overview-2) + - [Operations](#operations-2) +- [Conclusion](#conclusion) + +## Introduction +This document provides an overview of three fundamental data structures in computer science: hash tables, hash sets, and hash maps. These structures are widely used for efficient data storage and retrieval operations. + +## Hash Tables + +### Overview +A **hash table** is a data structure that stores key-value pairs. It uses a hash function to compute an index into an array of buckets or slots, from which the desired value can be found. + +### Operations +1. **Insertion**: Add a new key-value pair to the hash table. +2. **Deletion**: Remove a key-value pair from the hash table. +3. **Search**: Find the value associated with a given key. +4. **Update**: Modify the value associated with a given key. + +**Example Code (Python):** +```python +class Node: + def __init__(self, key, value): + self.key = key + self.value = value + self.next = None + + +class HashTable: + def __init__(self, capacity): + self.capacity = capacity + self.size = 0 + self.table = [None] * capacity + + def _hash(self, key): + return hash(key) % self.capacity + + def insert(self, key, value): + index = self._hash(key) + + if self.table[index] is None: + self.table[index] = Node(key, value) + self.size += 1 + else: + current = self.table[index] + while current: + if current.key == key: + current.value = value + return + current = current.next + new_node = Node(key, value) + new_node.next = self.table[index] + self.table[index] = new_node + self.size += 1 + + def search(self, key): + index = self._hash(key) + + current = self.table[index] + while current: + if current.key == key: + return current.value + current = current.next + + raise KeyError(key) + + def remove(self, key): + index = self._hash(key) + + previous = None + current = self.table[index] + + while current: + if current.key == key: + if previous: + previous.next = current.next + else: + self.table[index] = current.next + self.size -= 1 + return + previous = current + current = current.next + + raise KeyError(key) + + def __len__(self): + return self.size + + def __contains__(self, key): + try: + self.search(key) + return True + except KeyError: + return False + + +# Driver code +if __name__ == '__main__': + + ht = HashTable(5) + + ht.insert("apple", 3) + ht.insert("banana", 2) + ht.insert("cherry", 5) + + + print("apple" in ht) + print("durian" in ht) + + print(ht.search("banana")) + + ht.insert("banana", 4) + print(ht.search("banana")) # 4 + + ht.remove("apple") + + print(len(ht)) # 3 +``` + +# Insert elements +hash_table["key1"] = "value1" +hash_table["key2"] = "value2" + +# Search for an element +value = hash_table.get("key1") + +# Delete an element +del hash_table["key2"] + +# Update an element +hash_table["key1"] = "new_value1" + +## Hash Sets + +### Overview +A **hash set** is a collection of unique elements. It is implemented using a hash table where each bucket can store only one element. + +### Operations +1. **Insertion**: Add a new element to the set. +2. **Deletion**: Remove an element from the set. +3. **Search**: Check if an element exists in the set. +4. **Union**: Combine two sets to form a new set with elements from both. +5. **Intersection**: Find common elements between two sets. +6. **Difference**: Find elements present in one set but not in the other. + +**Example Code (Python):** +```python +# Create a hash set +hash_set = set() + +# Insert elements +hash_set.add("element1") +hash_set.add("element2") + +# Search for an element +exists = "element1" in hash_set + +# Delete an element +hash_set.remove("element2") + +# Union of sets +another_set = {"element3", "element4"} +union_set = hash_set.union(another_set) + +# Intersection of sets +intersection_set = hash_set.intersection(another_set) + +# Difference of sets +difference_set = hash_set.difference(another_set) +``` +## Hash Maps + +### Overview +A **hash map** is similar to a hash table but often provides additional functionalities and more user-friendly interfaces for developers. It is a collection of key-value pairs where each key is unique. + +### Operations +1. **Insertion**: Add a new key-value pair to the hash map. +2. **Deletion**: Remove a key-value pair from the hash map. +3. **Search**: Retrieve the value associated with a given key. +4. **Update**: Change the value associated with a given key. + +**Example Code (Python):** +```python +# Create a hash map +hash_map = {} + +# Insert elements +hash_map["key1"] = "value1" +hash_map["key2"] = "value2" + +# Search for an element +value = hash_map.get("key1") + +# Delete an element +del hash_map["key2"] + +# Update an element +hash_map["key1"] = "new_value1" + +``` +## Conclusion +Hash tables, hash sets, and hash maps are powerful data structures that provide efficient means of storing and retrieving data. Understanding these structures and their operations is crucial for developing optimized algorithms and applications. \ No newline at end of file diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 9c05b15e..9b8c192c 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -15,4 +15,5 @@ - [Trie](trie.md) - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) -- [Hashing through Chaining](hashing-chaining.md) \ No newline at end of file +- [Hashing through Chaining](hashing-chaining.md) +- [Hash Tables, Sets, Maps ](hash-tables.md) \ No newline at end of file From 10e40af9e97a57945f5a96ca1c2890ce17844cdb Mon Sep 17 00:00:00 2001 From: Ishita-Jena <167574361+Ishita-Jena@users.noreply.github.com> Date: Sun, 9 Jun 2024 04:01:25 +0530 Subject: [PATCH 029/174] Create binary_tree.md --- contrib/ds-algorithms/binary_tree.md | 71 ++++++++++++++++++++++++++++ 1 file changed, 71 insertions(+) create mode 100644 contrib/ds-algorithms/binary_tree.md diff --git a/contrib/ds-algorithms/binary_tree.md b/contrib/ds-algorithms/binary_tree.md new file mode 100644 index 00000000..fb112303 --- /dev/null +++ b/contrib/ds-algorithms/binary_tree.md @@ -0,0 +1,71 @@ +# Binary Tree + +A binary tree is a non-linear data structure in which each node can have atmost two children, known as the left and the right child. + +```python + A...................Level 0 + / \ + B C.................Level 1 + / \ \ + D E G...............Level 2 +``` + +## Basic Terminologies + +- **Root node:** The topmost node in a tree is the root node. The root node does not have any parent. In the example given above, **A** is the root node. +- **Parent node:** The predecessor of a node is called the parent of that node. **A** is the parent of **B** and **C**, **B** is the parent of **D** and **E** and **C** is the parent of **G**. +- **Child node:** The successor of a node is called the child of that node. **B** and **C** are children of **A**, **D** and **E** are children of **B** and **G** is the right child of **C**. +- **Leaf node:** Nodes without any children are called the leaf nodes. **D**, **E** and **G** are the leaf nodes. +- **Ancestor node:** Predecessor nodes on the path from the root to that node are called ancestor nodes. **A** and **B** are the ancestors of **E**. +- **Descendant node:** Successor nodes on the path from the root to that node are called descendant nodes. **B** and **E** are descendants of **A**. +- **Sibling node:** Nodes having the same parent are called sibling nodes. **B** and **C** are sibling nodes and so are **D** and **E**. +- **Level (Depth) of a node:** Number of edges in the path from the root to that node is the level of that node. The root node is always at level 0. The depth of root node is the depth of the tree. Nodes **D**, **E** and **G** are at level 2. +- **Height of a node:** Number of edges in the path from that node to the deepest leaf. The height of the root is the height of a tree. Height of nodes **B** and **C** are 1. + +## Types Of Binary Trees + +- **Full Binary Tree:** A binary tree where each node has 0 or 2 children is a full binary tree. +```python + A + / \ + B C + / \ + D E +``` +- **Complete Binary Tree:** A binary tree in which all levels are completely filled except the last level is a complete binary tree. Whenever new nodes are inserted, they are inserted from the left side. +```python + A + / \ + / \ + B C + / \ / + D E F +``` +- **Perfect Binary Tree:** A binary tree in which all nodes are completely filled, i.e., each node has two children is called a perfect binary tree. +```python + A + / \ + / \ + B C + / \ / \ + D E F G +``` +- **Skewed Binary Tree:** A binary tree in which each node has either 0 or 1 child is called a skewed binary tree. It is of two types - left skewed binary tree and right skewed binary tree. +```python + A A + \ / + B B + \ / + C C + Right skewed binary tree Left skewed binary tree +``` +- **Balanced Binary Tree:** A binary tree in which the height difference between the left and right subtree is not more than one and the subtrees are also balanced is a balanced binary tree. +```python + A + / \ + B C + / \ + D E +``` + +## Implementation of Binary Tree From ba59ef608ca96405abc6f9a9c14d2b1a26ed5ffe Mon Sep 17 00:00:00 2001 From: Ishita-Jena <167574361+Ishita-Jena@users.noreply.github.com> Date: Sun, 9 Jun 2024 04:02:49 +0530 Subject: [PATCH 030/174] Update index.md --- contrib/ds-algorithms/index.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 9c05b15e..ecc4a10e 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -15,4 +15,5 @@ - [Trie](trie.md) - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) -- [Hashing through Chaining](hashing-chaining.md) \ No newline at end of file +- [Hashing through Chaining](hashing-chaining.md) +- [Binary Tree](binary_tree.md) From 65e2aa42f851628e8aa1f5916236edc15aeae99b Mon Sep 17 00:00:00 2001 From: Kosuri Indu Date: Sun, 9 Jun 2024 09:33:07 +0530 Subject: [PATCH 031/174] Added AVL Trees in DSA section --- contrib/ds-algorithms/avl-trees.md | 185 +++++++++++++++++++++++++++++ contrib/ds-algorithms/index.md | 3 +- 2 files changed, 187 insertions(+), 1 deletion(-) create mode 100644 contrib/ds-algorithms/avl-trees.md diff --git a/contrib/ds-algorithms/avl-trees.md b/contrib/ds-algorithms/avl-trees.md new file mode 100644 index 00000000..b87e82cb --- /dev/null +++ b/contrib/ds-algorithms/avl-trees.md @@ -0,0 +1,185 @@ +# AVL Tree + +In Data Structures and Algorithms, an **AVL Tree** is a self-balancing binary search tree (BST) where the difference between heights of left and right subtrees cannot be more than one for all nodes. It ensures that the tree remains balanced, providing efficient search, insertion, and deletion operations. + +## Points to be Remembered + +- **Balance Factor**: The difference in heights between the left and right subtrees of a node. It should be -1, 0, or +1 for all nodes in an AVL tree. +- **Rotations**: Tree rotations (left, right, left-right, right-left) are used to maintain the balance factor within the allowed range. + +## Real Life Examples of AVL Trees + +- **Databases**: AVL trees can be used to maintain large indexes for database tables, ensuring quick data retrieval. +- **File Systems**: Some file systems use AVL trees to keep track of free and used memory blocks. + +## Applications of AVL Trees + +AVL trees are used in various applications in Computer Science: + +- **Database Indexing** +- **Memory Allocation** +- **Network Routing Algorithms** + +Understanding these applications is essential for Software Development. + +## Operations in AVL Tree + +Key operations include: + +- **INSERT**: Insert a new element into the AVL tree. +- **SEARCH**: Find the position of an element in the AVL tree. +- **DELETE**: Remove an element from the AVL tree. + +## Implementing AVL Tree in Python + +```python +class AVLTreeNode: + def __init__(self, key): + self.key = key + self.left = None + self.right = None + self.height = 1 + +class AVLTree: + def insert(self, root, key): + if not root: + return AVLTreeNode(key) + + if key < root.key: + root.left = self.insert(root.left, key) + else: + root.right = self.insert(root.right, key) + + root.height = 1 + max(self.getHeight(root.left), self.getHeight(root.right)) + balance = self.getBalance(root) + + if balance > 1 and key < root.left.key: + return self.rotateRight(root) + if balance < -1 and key > root.right.key: + return self.rotateLeft(root) + if balance > 1 and key > root.left.key: + root.left = self.rotateLeft(root.left) + return self.rotateRight(root) + if balance < -1 and key < root.right.key: + root.right = self.rotateRight(root.right) + return self.rotateLeft(root) + + return root + + def search(self, root, key): + if not root or root.key == key: + return root + + if key < root.key: + return self.search(root.left, key) + + return self.search(root.right, key) + + def delete(self, root, key): + if not root: + return root + + if key < root.key: + root.left = self.delete(root.left, key) + elif key > root.key: + root.right = self.delete(root.right, key) + else: + if root.left is None: + temp = root.right + root = None + return temp + elif root.right is None: + temp = root.left + root = None + return temp + + temp = self.getMinValueNode(root.right) + root.key = temp.key + root.right = self.delete(root.right, temp.key) + + if root is None: + return root + + root.height = 1 + max(self.getHeight(root.left), self.getHeight(root.right)) + balance = self.getBalance(root) + + if balance > 1 and self.getBalance(root.left) >= 0: + return self.rotateRight(root) + if balance < -1 and self.getBalance(root.right) <= 0: + return self.rotateLeft(root) + if balance > 1 and self.getBalance(root.left) < 0: + root.left = self.rotateLeft(root.left) + return self.rotateRight(root) + if balance < -1 and self.getBalance(root.right) > 0: + root.right = self.rotateRight(root.right) + return self.rotateLeft(root) + + return root + + def rotateLeft(self, z): + y = z.right + T2 = y.left + y.left = z + z.right = T2 + z.height = 1 + max(self.getHeight(z.left), self.getHeight(z.right)) + y.height = 1 + max(self.getHeight(y.left), self.getHeight(y.right)) + return y + + def rotateRight(self, z): + y = z.left + T3 = y.right + y.right = z + z.left = T3 + z.height = 1 + max(self.getHeight(z.left), self.getHeight(z.right)) + y.height = 1 + max(self.getHeight(y.left), self.getHeight(y.right)) + return y + + def getHeight(self, root): + if not root: + return 0 + return root.height + + def getBalance(self, root): + if not root: + return 0 + return self.getHeight(root.left) - self.getHeight(root.right) + + def getMinValueNode(self, root): + if root is None or root.left is None: + return root + return self.getMinValueNode(root.left) + + def preOrder(self, root): + if not root: + return + print(root.key, end=' ') + self.preOrder(root.left) + self.preOrder(root.right) + +#Example usage +avl_tree = AVLTree() +root = None + +root = avl_tree.insert(root, 10) +root = avl_tree.insert(root, 20) +root = avl_tree.insert(root, 30) +root = avl_tree.insert(root, 40) +root = avl_tree.insert(root, 50) +root = avl_tree.insert(root, 25) + +print("Preorder traversal of the AVL tree is:") +avl_tree.preOrder(root) +``` + +## Output + +```markdown +Preorder traversal of the AVL tree is: +30 20 10 25 40 50 +``` + +## Complexity Analysis + +- **Insertion**: O(logn). Inserting a node involves traversing the height of the tree, which is logarithmic due to the balancing property. +- **Search**: O(logn). Searching for a node involves traversing the height of the tree. +- **Deletion**: O(log⁡n). Deleting a node involves traversing and potentially rebalancing the tree, maintaining the logarithmic height. \ No newline at end of file diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 9c05b15e..d3dbe73e 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -15,4 +15,5 @@ - [Trie](trie.md) - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) -- [Hashing through Chaining](hashing-chaining.md) \ No newline at end of file +- [Hashing through Chaining](hashing-chaining.md) +- [AVL Trees](avl-trees.md) \ No newline at end of file From 6726d30e5590c5ed97ffbbc3b0d2c6d941656d3c Mon Sep 17 00:00:00 2001 From: Yogesh Vishwakarma <103316955+Yogeshkarma@users.noreply.github.com> Date: Sun, 9 Jun 2024 09:54:56 +0530 Subject: [PATCH 032/174] Create Universal-Functions.md Added Universal Functions file --- contrib/numpy/Universal-Functions.md | 130 +++++++++++++++++++++++++++ 1 file changed, 130 insertions(+) create mode 100644 contrib/numpy/Universal-Functions.md diff --git a/contrib/numpy/Universal-Functions.md b/contrib/numpy/Universal-Functions.md new file mode 100644 index 00000000..090f33c5 --- /dev/null +++ b/contrib/numpy/Universal-Functions.md @@ -0,0 +1,130 @@ +# Universal functions (ufunc) + +--- + +A `ufunc`, short for "`universal function`," is a fundamental concept in NumPy, a powerful library for numerical computing in Python. Universal functions are highly optimized, element-wise functions designed to perform operations on data stored in NumPy arrays. + + + +## Uses of Ufuncs in NumPy + +Universal functions (ufuncs) in NumPy provide a wide range of functionalities for efficient and powerful numerical computations. Below is a detailed explanation of their uses: + +### 1. **Element-wise Operations** +Ufuncs perform operations on each element of the arrays independently. + +```python +import numpy as np + +A = np.array([1, 2, 3, 4]) +B = np.array([5, 6, 7, 8]) + +# Element-wise addition +np.add(A, B) # Output: array([ 6, 8, 10, 12]) +``` + +### 2. **Broadcasting** +Ufuncs support broadcasting, allowing operations on arrays with different shapes, making it possible to perform operations without explicitly reshaping arrays. + +```python +C = np.array([1, 2, 3]) +D = np.array([[1], [2], [3]]) + +# Broadcasting addition +np.add(C, D) # Output: array([[2, 3, 4], [3, 4, 5], [4, 5, 6]]) +``` + +### 3. **Vectorization** +Ufuncs are vectorized, meaning they are implemented in low-level C code, allowing for fast execution and avoiding the overhead of Python loops. + +```python +# Vectorized square root +np.sqrt(A) # Output: array([1., 1.41421356, 1.73205081, 2.]) +``` + +### 4. **Type Flexibility** +Ufuncs handle various data types and perform automatic type casting as needed. + +```python +E = np.array([1.0, 2.0, 3.0]) +F = np.array([4, 5, 6]) + +# Addition with type casting +np.add(E, F) # Output: array([5., 7., 9.]) +``` + +### 5. **Reduction Operations** +Ufuncs support reduction operations, such as summing all elements of an array or finding the product of all elements. + +```python +# Summing all elements +np.add.reduce(A) # Output: 10 + +# Product of all elements +np.multiply.reduce(A) # Output: 24 +``` + +### 6. **Accumulation Operations** +Ufuncs can perform accumulation operations, which keep a running tally of the computation. + +```python +# Cumulative sum +np.add.accumulate(A) # Output: array([ 1, 3, 6, 10]) +``` + +### 7. **Reduceat Operations** +Ufuncs can perform segmented reductions using the `reduceat` method, which applies the ufunc at specified intervals. + +```python +G = np.array([0, 1, 2, 3, 4, 5, 6, 7]) +indices = [0, 2, 5] +np.add.reduceat(G, indices) # Output: array([ 1, 9, 18]) +``` + +### 8. **Outer Product** +Ufuncs can compute the outer product of two arrays, producing a matrix where each element is the result of applying the ufunc to each pair of elements from the input arrays. + +```python +# Outer product +np.multiply.outer([1, 2, 3], [4, 5, 6]) +# Output: array([[ 4, 5, 6], +# [ 8, 10, 12], +# [12, 15, 18]]) +``` + +### 9. **Out Parameter** +Ufuncs can use the `out` parameter to store results in a pre-allocated array, saving memory and improving performance. + +```python +result = np.empty_like(A) +np.multiply(A, B, out=result) # Output: array([ 5, 12, 21, 32]) +``` + +# Create Your Own Ufunc + +You can create custom ufuncs for specific needs using np.frompyfunc or np.vectorize, allowing Python functions to behave like ufuncs. + +Here, we are using `frompyfunc()` which takes three argument: + +1. function - the name of the function. +2. inputs - the number of input (arrays). +3. outputs - the number of output arrays. + +```python +def my_add(x, y): + return x + y + +my_add_ufunc = np.frompyfunc(my_add, 2, 1) +my_add_ufunc(A, B) # Output: array([ 6, 8, 10, 12], dtype=object) +``` +# Some Common Ufunc are + +Here are some commonly used ufuncs in NumPy: + +- **Arithmetic**: `np.add`, `np.subtract`, `np.multiply`, `np.divide` +- **Trigonometric**: `np.sin`, `np.cos`, `np.tan` +- **Exponential and Logarithmic**: `np.exp`, `np.log`, `np.log10` +- **Comparison**: `np.maximum`, `np.minimum`, `np.greater`, `np.less` +- **Logical**: `np.logical_and`, `np.logical_or`, `np.logical_not` + +For more such Ufunc, address to [Universal functions (ufunc) — NumPy](https://numpy.org/doc/stable/reference/ufuncs.html) From 9b4a621539a461ff0b4d283b4f07b8d5bb81b554 Mon Sep 17 00:00:00 2001 From: Yogesh Vishwakarma <103316955+Yogeshkarma@users.noreply.github.com> Date: Sun, 9 Jun 2024 09:56:16 +0530 Subject: [PATCH 033/174] Update index.md --- contrib/numpy/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 50e80460..2b0c357e 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,3 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) +- [Universal Functions (Ufunc)](Universal-Functions.md) From aefb52e5b3e6a81e55dce1a22f4870b3ef0e2c69 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Sun, 9 Jun 2024 11:48:46 +0530 Subject: [PATCH 034/174] Update K-Means_Clustering.md --- contrib/machine-learning/K-Means_Clustering.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index 859636bf..83fbd80a 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -76,6 +76,10 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. +## Reference +[[Survey of Machine Learning and Data Mining Techniques used in Multimedia System](https://www.researchgate.net/publication/333457161_Survey_of_Machine_Learning_and_Data_Mining_Techniques_used_in_Multimedia_System?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ)] + +[[A Clustering Approach for Outliers Detection in a Big Point-of-Sales Database](https://www.researchgate.net/publication/339267868_A_Clustering_Approach_for_Outliers_Detection_in_a_Big_Point-of-Sales_Database?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ)] From 4e33c752407656390fd2b89398c837c67959bfcb Mon Sep 17 00:00:00 2001 From: Ishita-Jena <167574361+Ishita-Jena@users.noreply.github.com> Date: Sun, 9 Jun 2024 12:08:02 +0530 Subject: [PATCH 035/174] Update binary_tree.md --- contrib/ds-algorithms/binary_tree.md | 168 ++++++++++++++++++++++++++- 1 file changed, 164 insertions(+), 4 deletions(-) diff --git a/contrib/ds-algorithms/binary_tree.md b/contrib/ds-algorithms/binary_tree.md index fb112303..4891204c 100644 --- a/contrib/ds-algorithms/binary_tree.md +++ b/contrib/ds-algorithms/binary_tree.md @@ -1,6 +1,6 @@ # Binary Tree -A binary tree is a non-linear data structure in which each node can have atmost two children, known as the left and the right child. +A binary tree is a non-linear data structure in which each node can have atmost two children, known as the left and the right child. It is a heirarchial data structure represented in the following way: ```python A...................Level 0 @@ -12,15 +12,15 @@ A binary tree is a non-linear data structure in which each node can have atmost ## Basic Terminologies -- **Root node:** The topmost node in a tree is the root node. The root node does not have any parent. In the example given above, **A** is the root node. +- **Root node:** The topmost node in a tree is the root node. The root node does not have any parent. In the above example, **A** is the root node. - **Parent node:** The predecessor of a node is called the parent of that node. **A** is the parent of **B** and **C**, **B** is the parent of **D** and **E** and **C** is the parent of **G**. - **Child node:** The successor of a node is called the child of that node. **B** and **C** are children of **A**, **D** and **E** are children of **B** and **G** is the right child of **C**. - **Leaf node:** Nodes without any children are called the leaf nodes. **D**, **E** and **G** are the leaf nodes. - **Ancestor node:** Predecessor nodes on the path from the root to that node are called ancestor nodes. **A** and **B** are the ancestors of **E**. - **Descendant node:** Successor nodes on the path from the root to that node are called descendant nodes. **B** and **E** are descendants of **A**. - **Sibling node:** Nodes having the same parent are called sibling nodes. **B** and **C** are sibling nodes and so are **D** and **E**. -- **Level (Depth) of a node:** Number of edges in the path from the root to that node is the level of that node. The root node is always at level 0. The depth of root node is the depth of the tree. Nodes **D**, **E** and **G** are at level 2. -- **Height of a node:** Number of edges in the path from that node to the deepest leaf. The height of the root is the height of a tree. Height of nodes **B** and **C** are 1. +- **Level (Depth) of a node:** Number of edges in the path from the root to that node is the level of that node. The root node is always at level 0. The depth of root node is the depth of the tree. +- **Height of a node:** Number of edges in the path from that node to the deepest leaf is the height of that node. The height of the root is the height of a tree. Height of node **A** is 2, nodes **B** and **C** is 1 and nodes **D**, **E** and **G** is 0. ## Types Of Binary Trees @@ -68,4 +68,164 @@ A binary tree is a non-linear data structure in which each node can have atmost D E ``` +## Real Life Applications Of Binary Tree + +- **File Systems:** File systems employ binary trees to organize the folders and files, facilitating efficient search and access of files. +- **Decision Trees:** Decision tree, a supervised learning algorithm, utilizes binary trees, with each node representing a decision and its edges showing the possible outcomes. +- **Routing Algorithms:** In routing algorithms, binary trees are used to efficiently transfer data packets from the source to destination through a network of nodes. +- **Searching and sorting Algorithms:** Searching algorithms like binary search and sorting algorithms like heapsort rely heavily on binary trees. + ## Implementation of Binary Tree + +```python +from collections import deque + +class Node: + def __init__(self, data): + self.data = data + self.left = None + self.right = None + +class Binary_tree: + @staticmethod + def insert(root, data): + if root is None: + return Node(data) + q = deque() + q.append(root) + while q: + temp = q.popleft() + if temp.left is None: + temp.left = Node(data) + break + else: + q.append(temp.left) + if temp.right is None: + temp.right = Node(data) + break + else: + q.append(temp.right) + return root + + @staticmethod + def inorder(root): + if not root: + return + b.inorder(root.left) + print(root.data, end=" ") + b.inorder(root.right) + + @staticmethod + def preorder(root): + if not root: + return + print(root.data, end=" ") + b.preorder(root.left) + b.preorder(root.right) + + @staticmethod + def postorder(root): + if not root: + return + b.postorder(root.left) + b.postorder(root.right) + print(root.data, end=" ") + + @staticmethod + def levelorder(root): + if not root: + return + q = deque() + q.append(root) + while q: + temp = q.popleft() + print(temp.data, end=" ") + if temp.left is not None: + q.append(temp.left) + if temp.right is not None: + q.append(temp.right) + + @staticmethod + def delete(root, value): + q = deque() + q.append(root) + while q: + temp = q.popleft() + if temp is value: + temp = None + return + if temp.right: + if temp.right is value: + temp.right = None + return + else: + q.append(temp.right) + if temp.left: + if temp.left is value: + temp.left = None + return + else: + q.append(temp.left) + + @staticmethod + def delete_value(root, value): + if root is None: + return None + if root.left is None and root.right is None: + if root.data == value: + return None + else: + return root + x = None + q = deque() + q.append(root) + temp = None + while q: + temp = q.popleft() + if temp.data == value: + x = temp + if temp.left: + q.append(temp.left) + if temp.right: + q.append(temp.right) + if x: + y = temp.data + x.data = y + b.delete(root, temp) + return root + +b = Binary_tree() +root = None +root = b.insert(root, 10) +root = b.insert(root, 20) +root = b.insert(root, 30) +root = b.insert(root, 40) +root = b.insert(root, 50) +root = b.insert(root, 60) + +print("Preorder traversal:", end=" ") +b.preorder(root) + +print("\nInorder traversal:", end=" ") +b.inorder(root) + +print("\nPostorder traversal:", end=" ") +b.postorder(root) + +print("\nLevel order traversal:", end=" ") +b.levelorder(root) + +root = b.delete_value(root, 20) +print("\nLevel order traversal after deletion:", end=" ") +b.levelorder(root) + + +''' +OUTPUT: +Preorder traversal: 10 20 40 50 30 60 +Inorder traversal: 40 20 50 10 60 30 +Postorder traversal: 40 50 20 60 30 10 +Level order traversal: 10 20 30 40 50 60 +Level order traversal after deletion: 10 60 30 40 50 +''' +``` From eee9f149f251c50fffcaede4c02a3a02610b60cc Mon Sep 17 00:00:00 2001 From: Ishita-Jena <167574361+Ishita-Jena@users.noreply.github.com> Date: Sun, 9 Jun 2024 12:26:28 +0530 Subject: [PATCH 036/174] Update binary_tree.md --- contrib/ds-algorithms/binary_tree.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/binary_tree.md b/contrib/ds-algorithms/binary_tree.md index 4891204c..867bca07 100644 --- a/contrib/ds-algorithms/binary_tree.md +++ b/contrib/ds-algorithms/binary_tree.md @@ -73,7 +73,7 @@ A binary tree is a non-linear data structure in which each node can have atmost - **File Systems:** File systems employ binary trees to organize the folders and files, facilitating efficient search and access of files. - **Decision Trees:** Decision tree, a supervised learning algorithm, utilizes binary trees, with each node representing a decision and its edges showing the possible outcomes. - **Routing Algorithms:** In routing algorithms, binary trees are used to efficiently transfer data packets from the source to destination through a network of nodes. -- **Searching and sorting Algorithms:** Searching algorithms like binary search and sorting algorithms like heapsort rely heavily on binary trees. +- **Searching and sorting Algorithms:** Searching algorithms like binary search and sorting algorithms like heapsort heavily rely on binary trees. ## Implementation of Binary Tree From 23fdbccff1a0ab84f8785391d774a35cc69f668f Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sun, 9 Jun 2024 13:12:13 +0530 Subject: [PATCH 037/174] Added Reinforcement Learning --- .../machine-learning/assets/rl-components.png | Bin 0 -> 62544 bytes contrib/machine-learning/index.md | 1 + .../reinforcement-learning.md | 327 ++++++++++++++++++ 3 files changed, 328 insertions(+) create mode 100644 contrib/machine-learning/assets/rl-components.png create mode 100644 contrib/machine-learning/reinforcement-learning.md diff --git a/contrib/machine-learning/assets/rl-components.png b/contrib/machine-learning/assets/rl-components.png new file mode 100644 index 0000000000000000000000000000000000000000..cb359cf455ebd9fdf83221d1b97c6bbb05810543 GIT binary patch literal 62544 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b/contrib/machine-learning/reinforcement-learning.md @@ -0,0 +1,327 @@ +# Reinforcement Learning: A Comprehensive Guide + +Reinforcement Learning (RL) is a field of Machine Learing which focuses on goal-directed learning from interaction with the environment. In RL, an agent learns to make decisions by performing actions in an environment to maximize cumulative numerical reward signal. This README aims to provide a thorough understanding of RL, covering key concepts, algorithms, applications, and resources. + +## Table of Contents + +
    +Click to expand + +1. [What is Reinforcement Learning?](#what-is-reinforcement-learning) +2. [Key Concepts and Terminology](#key-concepts-and-terminology) + - [Agent](#agent) + - [Environment](#environment) + - [State](#state) + - [Action](#action) + - [Reward](#reward) + - [Policy](#policy) + - [Value Function](#value-function) + - [Model](#model) + - [Exploration vs. Exploitation](#exploration-vs-exploitation) +3. [Types of Reinforcement Learning](#types-of-reinforcement-learning) + - [Model-Based vs Model-Free](#model-based-vs-model-free) + - [Value-Based Methods](#value-based-methods) + - [Policy-Based Methods](#policy-based-methods) + - [Actor-Critic Methods](#actor-critic-methods) +4. [Important Algorithms](#important-algorithms) + - [Q-Learning](#q-learning) + - [Deep Q-Networks](#deep-q-networks-dqn) + - [SARSA](#sarsa) + - [REINFORCE Algorithm](#reinforce-algorithm) + - [Proximal Policy Optimization (PPO)](#proximal-policy-optimization-ppo) + - [A2C/A3C](#a2ca3c) +5. [Mathematical Background](#mathematical-background) + - [Markov Decision Processes (MDP)](#markov-decision-processes-mdps) + - [Bellman Equations](#bellman-equations) +6. [Applications of Reinforcement Learning](#applications-of-reinforcement-learning) + - [Gaming](#gaming) + - [Robotics](#robotics) + - [Finance](#finance) + - [Healthcare](#healthcare) +7. [Tools and Libraries](#tools-and-libraries) +8. [Resources for Further Learning](#resources-for-further-learning) + - [Books](#books) + - [Online Courses](#online-courses) + - [Research Papers](#research-papers) + - [Blogs and Websites](#blogs-and-websites) +9. [How to Start with Reinforcement Learning](#how-to-start-with-reinforcement-learning) + - [Prerequisites](#prerequisites) + - [Beginner Project](#beginner-project) +10. [Conclusion](#conclusion) + +
    + +## What is Reinforcement Learning? + +Reinforcement learning involves determining the best actions to take in various situations to maximize a numerical reward signal. Instead of being instructed on which actions to take, the learner must explore and identify the actions that lead to the highest rewards through trial and error. After each action performed in its environment, a trainer may give feedback in the form of rewards or penalties to indicate the desirability of the resulting state. Unlike supervised learning, reinforcement learning does not depend on labeled data but instead learns from the outcomes of its actions. + +## Key Concepts and Terminology + +![image](assets/rl-components.png) + +### Agent +Agent is a system or entity that learns to make decisions by interacting with an environment. The agent improves its performance by trial and error, receiving feedback from the environment in the form of rewards or punishments. + +### Environment +Environment is the setting or world in which the agent operates and interacts with. It provides the agent with states and feedback based on the agent's actions. + +### State +State represents the current situation of the environment, encapsulating all the relevant information needed for decision-making. + +### Action +Action represents a move that can be taken by the agent, which would affect the state of the environment. The set of all possible actions is called the action space. + +### Reward +Reward is the feedback from the environment in response to the agent’s action, thereby defining what are good and bad actions. Agent aims to maximize the total reward over time. + +### Policy +Policy is a strategy used by the agent to determine its actions based on the current state. In some cases the policy may be a simple function or lookup table, whereas in others it may involve extensive computation such as a search process. + +### Value Function +The value function of a state is the expected total amount of reward an agent can expect to accumulate over the future, starting from that state. There are two main types of value functions: + - **State Value Function (V)**: The expected reward starting from a state and following a certain policy thereafter. + - **Action Value Function (Q)**: The expected reward starting from a state, taking a specific action, and following a certain policy thereafter. + +### Model +Model mimics the behavior of the environment, or more generally, that allows inferences to be made about how the environment will behave. + +### Exploration vs. Exploitation +To accumulate substantial rewards, a reinforcement learning agent needs to favor actions that have previously yielded high rewards. However, to identify these effective actions, the agent must also attempt actions it hasn't tried before. This means the agent must *exploit* its past experiences to gain rewards, while also *exploring* new actions to improve its future decision-making. + +## Types of Reinforcement Learning + +### Model-Based vs Model-Free + +**Model-Based Reinforcement Learning:** Model-based methods involve creating a model of the environment to predict future states and rewards, allowing the agent to plan its actions by simulating various scenarios. These methods often involve two main components: + +**Model-Free Reinforcement Learning:** Model-free methods do not explicitly learn a model of the environment. Instead, they learn a policy or value function directly from the interactions with the environment. These methods can be further divided into two categories: value-based and policy-based methods. + +### Value-Based Methods: +Value-based methods focus on estimating the value function, and the policy is indirectly derived from the value function. + +### Policy-Based Methods: +Policy-based methods directly optimize the policy by maximizing the expected cumulative rewardto find the optimal parameters. + +### Actor-Critic Methods: +Actor-Critic methods combine the strengths of both value-based and policy-based methods. Actor learns the policy that maps states to actions and Critic learns the value function that evaluates the action chosen by the actor. + +## Important Algorithms + +### Q-Learning +Q-Learning is a model-free algorithm used in reinforcement learning to learn the value of an action in a particular state. It aims to find the optimal policy by iteratively updating the Q-values, which represent the expected cumulative reward of taking a particular action in a given state and following the optimal policy thereafter. + +#### Algorithm: +1. Initialize Q-values arbitrarily for all state-action pairs. +2. Repeat for each episode: + - Choose an action using an exploration strategy (e.g., epsilon-greedy). + - Take the action, observe the reward and the next state. + - Update the Q-value of the current state-action pair using the Bellman equation: + \[ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) \] + where: + - \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). + - \( r \) is the observed reward. + - \( s' \) is the next state. + - \( \alpha \) is the learning rate. + - \( \gamma \) is the discount factor. +3. Until convergence or a maximum number of episodes. + +### Deep Q-Networks (DQN) +Deep Q-Networks (DQN) extend Q-learning to high-dimensional state spaces using deep neural networks to approximate the Q-function. It uses experience replay and target networks to improve stability and convergence. + +#### Algorithm: +1. Initialize the Q-network with random weights. +2. Initialize a target network with the same weights as the Q-network. +3. Repeat for each episode: + - Initialize the environment state \( s \). + - Repeat for each timestep: + - With probability \( \epsilon \), choose a random action. Otherwise, select the action with the highest Q-value according to the Q-network. + - Take the chosen action, observe the reward \( r \) and the next state \( s' \). + - Store the transition \( (s, a, r, s') \) in the replay memory. + - Sample a minibatch of transitions from the replay memory. + - Compute the target Q-value for each transition: + \[ y_j = \begin{cases} r_j & \text{if episode terminates at step } j+1 \\ + r_j + \gamma \max_{a'} Q(s', a'; \theta^-) & \text{otherwise} \end{cases} \] + where: + - \( \theta^- \) represents the parameters of the target network. + - \( y_j \) is the target Q-value for the \( j \)th transition. + - Update the Q-network parameters by minimizing the temporal difference loss: + \[ \mathcal{L}(\theta) = \frac{1}{N} \sum_{j} (y_j - Q(s_j, a_j; \theta))^2 \] +4. Until convergence or a maximum number of episodes. + +### SARSA +SARSA (State-Action-Reward-State-Action) is an on-policy temporal difference algorithm used for learning the Q-function. Unlike Q-learning, SARSA directly updates the Q-values based on the current policy. + +#### Algorithm: +1. Initialize Q-values arbitrarily for all state-action pairs. +2. Repeat for each episode: + - Initialize the environment state \( s \). + - Choose an action \( a \) using the current policy (e.g., epsilon-greedy). + - Repeat for each timestep: + - Take action \( a \), observe the reward \( r \) and the next state \( s' \). + - Choose the next action \( a' \) using the current policy. + - Update the Q-value of the current state-action pair using the SARSA update rule: + \[ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma Q(s', a') - Q(s, a) \right) \] +3. Until convergence or a maximum number of episodes. + +### REINFORCE Algorithm: +REINFORCE (Monte Carlo policy gradient) is a simple policy gradient method that updates the policy parameters in the direction of the gradient of expected rewards. + +### Proximal Policy Optimization (PPO): +PPO is an advanced policy gradient method that improves stability by limiting the policy updates within a certain trust region. + +### A2C/A3C: +Advantage Actor-Critic (A2C) and Asynchronous Advantage Actor-Critic (A3C) are variants of actor-critic methods that utilize multiple parallel agents to improve sample efficiency. + +## Mathematical Background + +### Markov Decision Processes (MDPs) +A Markov Decision Process (MDP) is a mathematical framework used to model decision-making problems. It consists of states, actions, rewards and transition probabilities. + +### Bellman Equations +Bellman equations are fundamental recursive equations in dynamic programming and reinforcement learning. They express the value of a decision at one point in time in terms of the expected value of the subsequent decisions. + +## Applications of Reinforcement Learning + +### Gaming +Reinforcement learning is extensively used in gaming for developing AI agents capable of playing complex games like AlphaGo, Chess, and video games. RL algorithms enable these agents to learn optimal strategies by interacting with the game environment and receiving feedback in the form of rewards. + +### Robotics +In robotics, reinforcement learning is employed to teach robots various tasks such as navigation, manipulation, and control. RL algorithms allow robots to learn from their interactions with the environment, enabling them to adapt and improve their behavior over time without explicit programming. + +### Finance +Reinforcement learning plays a crucial role in finance, particularly in algorithmic trading and portfolio management. RL algorithms are utilized to optimize trading strategies, automate decision-making processes, and manage investment portfolios dynamically based on changing market conditions and objectives. + +### Healthcare +In healthcare, reinforcement learning is utilized for various applications such as personalized treatment, drug discovery, and optimizing healthcare operations. RL algorithms can assist in developing personalized treatment plans for patients, identifying effective drug candidates, and optimizing resource allocation in hospitals to improve patient care and outcomes. + +## Tools and Libraries +- **OpenAI Gym:** A toolkit for developing and comparing RL algorithms. +- **TensorFlow/TF-Agents:** A library for RL in TensorFlow. +- **PyTorch:** Popular machine learning library with RL capabilities. +- **Stable Baselines3:** A set of reliable implementations of RL algorithms in PyTorch. + +## Resources for Further Learning +### Books +- "Reinforcement Learning: An Introduction" by Sutton and Barto +- "Deep Reinforcement Learning Hands-On" by Maxim Lapan + +### Online Courses +- "Reinforcement Learning" by Udacity +- "Fundamentals of Reinforcement Learning" by Coursera +- "Master Reinforcement Learning and Deep RL with Python" by Udemy + +### Research Papers +- [Reinforcement learning model, algorithms and its application](https://ieeexplore.ieee.org/abstract/document/6025669) +- [A Concise Introduction to Reinforcement Learning](https://www.researchgate.net/publication/323178749_A_Concise_Introduction_to_Reinforcement_Learning) + +### Blogs and Websites +- [OpenAI Blog](https://spinningup.openai.com/en/latest/) +- [Geeks for Geeks](https://www.geeksforgeeks.org/what-is-reinforcement-learning/) +- [Medium Blog](https://gordicaleksa.medium.com/how-to-get-started-with-reinforcement-learning-rl-4922fafeaf8c) + +## How to Start with Reinforcement Learning + +### Prerequisites +- Basic knowledge of machine learning and neural networks. +- Proficiency in Python. + +### Beginner Project +The provided Python code implements the Q-learning algorithm for a basic grid world environment. It defines the grid world, actions, and parameters such as discount factor and learning rate. The algorithm iteratively learns the optimal action-value function (Q-values) by updating them based on rewards obtained from actions taken in each state. Finally, the learned Q-values are printed for each state-action pair. + +```python +import numpy as np + +# Define the grid world environment +# 'S' represents the start state +# 'G' represents the goal state +# 'H' represents the hole (negative reward) +# '.' represents empty cells (neutral reward) +# 'W' represents walls (impassable) +grid_world = np.array([ + ['S', '.', '.', '.', '.'], + ['.', 'W', '.', 'H', '.'], + ['.', '.', '.', 'W', '.'], + ['.', 'W', '.', '.', 'G'] +]) + +# Define the actions (up, down, left, right) +actions = ['UP', 'DOWN', 'LEFT', 'RIGHT'] + +# Define parameters +gamma = 0.9 # discount factor +alpha = 0.1 # learning rate +epsilon = 0.1 # exploration rate + +# Initialize Q-values +num_rows, num_cols = grid_world.shape +num_actions = len(actions) +Q = np.zeros((num_rows, num_cols, num_actions)) + +# Define helper function to get possible actions in a state +def possible_actions(state): + row, col = state + possible_actions = [] + for i, action in enumerate(actions): + if action == 'UP' and row > 0 and grid_world[row - 1, col] != 'W': + possible_actions.append(i) + elif action == 'DOWN' and row < num_rows - 1 and grid_world[row + 1, col] != 'W': + possible_actions.append(i) + elif action == 'LEFT' and col > 0 and grid_world[row, col - 1] != 'W': + possible_actions.append(i) + elif action == 'RIGHT' and col < num_cols - 1 and grid_world[row, col + 1] != 'W': + possible_actions.append(i) + return possible_actions + +# Q-learning algorithm +num_episodes = 1000 +for episode in range(num_episodes): + # Initialize the starting state + state = (0, 0) # start state + while True: + # Choose an action using epsilon-greedy policy + if np.random.uniform(0, 1) < epsilon: + action = np.random.choice(possible_actions(state)) + else: + action = np.argmax(Q[state[0], state[1]]) + + # Perform the action and observe the next state and reward + if actions[action] == 'UP': + next_state = (state[0] - 1, state[1]) + elif actions[action] == 'DOWN': + next_state = (state[0] + 1, state[1]) + elif actions[action] == 'LEFT': + next_state = (state[0], state[1] - 1) + elif actions[action] == 'RIGHT': + next_state = (state[0], state[1] + 1) + + # Get the reward + if grid_world[next_state] == 'G': + reward = 1 # goal state + elif grid_world[next_state] == 'H': + reward = -1 # hole + else: + reward = 0 + + # Update Q-value using the Bellman equation + best_next_action = np.argmax(Q[next_state[0], next_state[1]]) + Q[state[0], state[1], action] += alpha * ( + reward + gamma * Q[next_state[0], next_state[1], best_next_action] - Q[state[0], state[1], action]) + + # Move to the next state + state = next_state + + # Check if the episode is terminated + if grid_world[state] in ['G', 'H']: + break + +# Print the learned Q-values +print("Learned Q-values:") +for i in range(num_rows): + for j in range(num_cols): + print(f"State ({i}, {j}):", Q[i, j]) +``` + +### Conclusion +Congratulations on completing your journey through this comprehensive guide to reinforcement learning! Armed with this knowledge, you are well-equipped to dive deeper into the exciting world of RL, whether it's for gaming, robotics, finance, healthcare, or any other domain. Keep exploring, experimenting, and learning, and remember, the only limit to what you can achieve with reinforcement learning is your imagination. + +*Happy coding, and may your RL adventures be rewarding!* \ No newline at end of file From da09e2332256a373a44ce980a55d7be171a96811 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sun, 9 Jun 2024 13:17:23 +0530 Subject: [PATCH 038/174] Minor Changes --- .../reinforcement-learning.md | 20 +++++++++++++------ 1 file changed, 14 insertions(+), 6 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index b470ed3d..25dc4420 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -116,7 +116,9 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Choose an action using an exploration strategy (e.g., epsilon-greedy). - Take the action, observe the reward and the next state. - Update the Q-value of the current state-action pair using the Bellman equation: - \[ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) \] + ```latex + Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) + ``` where: - \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). - \( r \) is the observed reward. @@ -139,13 +141,17 @@ Deep Q-Networks (DQN) extend Q-learning to high-dimensional state spaces using d - Store the transition \( (s, a, r, s') \) in the replay memory. - Sample a minibatch of transitions from the replay memory. - Compute the target Q-value for each transition: - \[ y_j = \begin{cases} r_j & \text{if episode terminates at step } j+1 \\ - r_j + \gamma \max_{a'} Q(s', a'; \theta^-) & \text{otherwise} \end{cases} \] + ```latex + y_j = \begin{cases} r_j & \text{if episode terminates at step } j+1 \\ + r_j + \gamma \max_{a'} Q(s', a'; \theta^-) & \text{otherwise} \end{cases} + ``` where: - \( \theta^- \) represents the parameters of the target network. - \( y_j \) is the target Q-value for the \( j \)th transition. - Update the Q-network parameters by minimizing the temporal difference loss: - \[ \mathcal{L}(\theta) = \frac{1}{N} \sum_{j} (y_j - Q(s_j, a_j; \theta))^2 \] + ```latex + \mathcal{L}(\theta) = \frac{1}{N} \sum_{j} (y_j - Q(s_j, a_j; \theta))^2 + ``` 4. Until convergence or a maximum number of episodes. ### SARSA @@ -160,7 +166,9 @@ SARSA (State-Action-Reward-State-Action) is an on-policy temporal difference alg - Take action \( a \), observe the reward \( r \) and the next state \( s' \). - Choose the next action \( a' \) using the current policy. - Update the Q-value of the current state-action pair using the SARSA update rule: - \[ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma Q(s', a') - Q(s, a) \right) \] + ```latex + Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma Q(s', a') - Q(s, a) \right) + ``` 3. Until convergence or a maximum number of episodes. ### REINFORCE Algorithm: @@ -321,7 +329,7 @@ for i in range(num_rows): print(f"State ({i}, {j}):", Q[i, j]) ``` -### Conclusion +## Conclusion Congratulations on completing your journey through this comprehensive guide to reinforcement learning! Armed with this knowledge, you are well-equipped to dive deeper into the exciting world of RL, whether it's for gaming, robotics, finance, healthcare, or any other domain. Keep exploring, experimenting, and learning, and remember, the only limit to what you can achieve with reinforcement learning is your imagination. *Happy coding, and may your RL adventures be rewarding!* \ No newline at end of file From 69257a59103c8627eb1011653b7acdb1566d729c Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sun, 9 Jun 2024 13:19:31 +0530 Subject: [PATCH 039/174] Minor Changes Again --- .../machine-learning/reinforcement-learning.md | 17 ++++------------- 1 file changed, 4 insertions(+), 13 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 25dc4420..e55881a6 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -116,9 +116,7 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Choose an action using an exploration strategy (e.g., epsilon-greedy). - Take the action, observe the reward and the next state. - Update the Q-value of the current state-action pair using the Bellman equation: - ```latex - Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) - ``` + where: - \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). - \( r \) is the observed reward. @@ -141,17 +139,12 @@ Deep Q-Networks (DQN) extend Q-learning to high-dimensional state spaces using d - Store the transition \( (s, a, r, s') \) in the replay memory. - Sample a minibatch of transitions from the replay memory. - Compute the target Q-value for each transition: - ```latex - y_j = \begin{cases} r_j & \text{if episode terminates at step } j+1 \\ - r_j + \gamma \max_{a'} Q(s', a'; \theta^-) & \text{otherwise} \end{cases} - ``` + where: - \( \theta^- \) represents the parameters of the target network. - \( y_j \) is the target Q-value for the \( j \)th transition. - Update the Q-network parameters by minimizing the temporal difference loss: - ```latex - \mathcal{L}(\theta) = \frac{1}{N} \sum_{j} (y_j - Q(s_j, a_j; \theta))^2 - ``` + 4. Until convergence or a maximum number of episodes. ### SARSA @@ -166,9 +159,7 @@ SARSA (State-Action-Reward-State-Action) is an on-policy temporal difference alg - Take action \( a \), observe the reward \( r \) and the next state \( s' \). - Choose the next action \( a' \) using the current policy. - Update the Q-value of the current state-action pair using the SARSA update rule: - ```latex - Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma Q(s', a') - Q(s, a) \right) - ``` + 3. Until convergence or a maximum number of episodes. ### REINFORCE Algorithm: From ff4f5f9c4ccd2a1cc8db5edd848c25a2b915feee Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sun, 9 Jun 2024 13:29:24 +0530 Subject: [PATCH 040/174] Minor Changes in mathematical equation --- .../machine-learning/reinforcement-learning.md | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index e55881a6..bab38a09 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -116,13 +116,13 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Choose an action using an exploration strategy (e.g., epsilon-greedy). - Take the action, observe the reward and the next state. - Update the Q-value of the current state-action pair using the Bellman equation: - + where: - - \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). - - \( r \) is the observed reward. - - \( s' \) is the next state. - - \( \alpha \) is the learning rate. - - \( \gamma \) is the discount factor. + - is the Q-value of state and action. + - is the observed reward. + - is the next state. + - is the learning rate. + - is the discount factor. 3. Until convergence or a maximum number of episodes. ### Deep Q-Networks (DQN) @@ -132,9 +132,9 @@ Deep Q-Networks (DQN) extend Q-learning to high-dimensional state spaces using d 1. Initialize the Q-network with random weights. 2. Initialize a target network with the same weights as the Q-network. 3. Repeat for each episode: - - Initialize the environment state \( s \). + - Initialize the environment state . - Repeat for each timestep: - - With probability \( \epsilon \), choose a random action. Otherwise, select the action with the highest Q-value according to the Q-network. + - With probability , choose a random action. Otherwise, select the action with the highest Q-value according to the Q-network. - Take the chosen action, observe the reward \( r \) and the next state \( s' \). - Store the transition \( (s, a, r, s') \) in the replay memory. - Sample a minibatch of transitions from the replay memory. 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z8cGfp-Y#b$tDC@L)~~Wf!8!wukNGHFW2(QgCy*4(@Y}w|EAFo}l88YWkD^X{rraE3f1hMl>N-^okab;_6882OdyU)3R^7Iuo&;f^^vjWRGWq&{3OAiOJOSHxi|KPI>yhLSIsj6&EE(rmDs7#~S6fk`5@V+;N#lKpp8 zK-e%DySQOgrttr*nvcZa0rdYOp!^?20iYlbVAcEoxB7zQ0EdWfnWD!3k3tPl0=5vB z{+9>_`u}uUAh(PQ$mMg6fn74n4=77S@Coq(tNCve752H1CXd=>`Zo~?AO`%UP-o>3{*U!YNdVTv6n9AZA4T{t z1zUa!^*?5WjztGpI5eMI=6{sjzm)&KO;7hLJb-LhBJzQs0}A*^ewGuh6xQ|oe*kI_ Bzg7SM diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index bab38a09..0046ae42 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -57,8 +57,6 @@ Reinforcement learning involves determining the best actions to take in various ## Key Concepts and Terminology -![image](assets/rl-components.png) - ### Agent Agent is a system or entity that learns to make decisions by interacting with an environment. The agent improves its performance by trial and error, receiving feedback from the environment in the form of rewards or punishments. @@ -118,46 +116,24 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Update the Q-value of the current state-action pair using the Bellman equation: where: - - is the Q-value of state and action. + - is the Q-value of state and action . - is the observed reward. - is the next state. - is the learning rate. - is the discount factor. 3. Until convergence or a maximum number of episodes. -### Deep Q-Networks (DQN) -Deep Q-Networks (DQN) extend Q-learning to high-dimensional state spaces using deep neural networks to approximate the Q-function. It uses experience replay and target networks to improve stability and convergence. - -#### Algorithm: -1. Initialize the Q-network with random weights. -2. Initialize a target network with the same weights as the Q-network. -3. Repeat for each episode: - - Initialize the environment state . - - Repeat for each timestep: - - With probability , choose a random action. Otherwise, select the action with the highest Q-value according to the Q-network. - - Take the chosen action, observe the reward \( r \) and the next state \( s' \). - - Store the transition \( (s, a, r, s') \) in the replay memory. - - Sample a minibatch of transitions from the replay memory. - - Compute the target Q-value for each transition: - - where: - - \( \theta^- \) represents the parameters of the target network. - - \( y_j \) is the target Q-value for the \( j \)th transition. - - Update the Q-network parameters by minimizing the temporal difference loss: - -4. Until convergence or a maximum number of episodes. - ### SARSA SARSA (State-Action-Reward-State-Action) is an on-policy temporal difference algorithm used for learning the Q-function. Unlike Q-learning, SARSA directly updates the Q-values based on the current policy. #### Algorithm: 1. Initialize Q-values arbitrarily for all state-action pairs. 2. Repeat for each episode: - - Initialize the environment state \( s \). - - Choose an action \( a \) using the current policy (e.g., epsilon-greedy). + - Initialize the environment state . + - Choose an action using the current policy (e.g., epsilon-greedy). - Repeat for each timestep: - - Take action \( a \), observe the reward \( r \) and the next state \( s' \). - - Choose the next action \( a' \) using the current policy. + - Take action , observe the reward and the next state . + - Choose the next action using the current policy. - Update the Q-value of the current state-action pair using the SARSA update rule: 3. Until convergence or a maximum number of episodes. From 709011baa2db795b45efda459dd954aefb609bb1 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sun, 9 Jun 2024 13:36:20 +0530 Subject: [PATCH 042/174] Final Changes-1 --- contrib/machine-learning/reinforcement-learning.md | 1 - 1 file changed, 1 deletion(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 0046ae42..2c227429 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -25,7 +25,6 @@ Reinforcement Learning (RL) is a field of Machine Learing which focuses on goal- - [Actor-Critic Methods](#actor-critic-methods) 4. [Important Algorithms](#important-algorithms) - [Q-Learning](#q-learning) - - [Deep Q-Networks](#deep-q-networks-dqn) - [SARSA](#sarsa) - [REINFORCE Algorithm](#reinforce-algorithm) - [Proximal Policy Optimization (PPO)](#proximal-policy-optimization-ppo) From 4afd4a98f263a411c0eb80c223e1a72886f34cff Mon Sep 17 00:00:00 2001 From: anamika123 Date: Sun, 9 Jun 2024 16:12:58 +0530 Subject: [PATCH 043/174] Pandas Series' --- contrib/pandas/index.md | 1 + contrib/pandas/pandas_series.md | 283 ++++++++++++++++++++++++++++++++ 2 files changed, 284 insertions(+) create mode 100644 contrib/pandas/pandas_series.md diff --git a/contrib/pandas/index.md b/contrib/pandas/index.md index e5a83533..2a159291 100644 --- a/contrib/pandas/index.md +++ b/contrib/pandas/index.md @@ -9,3 +9,4 @@ - [Working with Date & Time in Pandas](datetime.md) - [Importing and Exporting Data in Pandas](import-export.md) - [Handling Missing Values in Pandas](handling-missing-values.md) +- [Pandas Series](pandas_series.md) \ No newline at end of file diff --git a/contrib/pandas/pandas_series.md b/contrib/pandas/pandas_series.md new file mode 100644 index 00000000..8cc12c89 --- /dev/null +++ b/contrib/pandas/pandas_series.md @@ -0,0 +1,283 @@ +# Pandas Series + + + A series is a Panda data structures that represents a one dimensional array-like object containing an array of data and an associated array of data type labels, called index. + +## Creating a Series object: + +### Basic Series +To create a basic Series, you can pass a list or array of data to the `pd.Series()` function. + +```python +import pandas as pd + +s1 = pd.Series([4, 5, 2, 3]) +print(s1) + +#Output: +#0 4 +#1 5 +#2 2 +#3 3 +#dtype: int64 + +``` + +### Series from a Dictionary + +If you pass a dictionary to `pd.Series()`, the keys become the index and the values become the data of the Series. +```python +import pandas as pd + +s2 = pd.Series({'A': 1, 'B': 2, 'C': 3}) +print(s2) + +#Output: +#A 1 +#B 2 +#C 3 +#dtype: int64 +``` + + +## Additional Functionality + + +### Specifying Data Type and Index +You can specify the data type and index while creating a Series. +```python +import pandas as pd + +s4 = pd.Series([1, 2, 3], index=['a', 'b', 'c'], dtype='float64') +print(s4) + +#output +#a 1.0 +#b 2.0 +#c 3.0 +#dtype: float64 +``` + +### Specifying NaN Values: +* Sometimes you need to create a series object of a certain size but you do not have complete data available so in such cases you can fill missing data with a NaN(Not a Number) value. +* When you store NaN value in series object, the data type must be floating pont type. Even if you specify an integer type , pandas will promote it to floating point type automatically because NaN is not supported by integer type. + +```python +import pandas as pd +s3=pd.Series([1,np.Nan,2]) +print(s3) + +#output: + +#0 1.0 +#1 NaN +#2 2.0 +#dtype: float64 +``` + + +### Creating Data from Expressions +You can create a Series using an expression or function. + +``=np.Series(data=,index=None) + +```python +import pandas as pd +a=np.arange(1,5) # [1,2,3,4] +s5=pd.Series(data=a**2,index=a) +print(s5) + +#output: +#1 1 +#2 4 +#3 9 +#4 16 +#dtype: int64 +``` + + +## Series Object Attributes + +| **Attribute** | **Description** | +|--------------------------|---------------------------------------------------| +| `.index` | Array of index of the Series | +| `.values` | Array of values of the Series | +| `.dtype` | Return the dtype of the data | +| `.shape` | Return a tuple representing the shape of the data | +| `.ndim` | Return the number of dimensions of the data | +| `.size` | Return the number of elements in the data | +| `.hasnans` | Return True if there is any NaN in the data | +| `.empty` | Return True if the Series object is empty | + + + +- If you use len() on a series object then it return total number of elements in the series object whereas .count() return only the number of non NaN elements. + +## Accessing a Series object and its elements + +### Accessing Individual Elements +You can access individual elements using their index. +'legal' indexes arte used to access individual element. +```python +import pandas as pd + +s7 = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) +print(s7['A']) + +#output +#13 +``` + + +### Slicing a Series + +- Slices are extracted based on their positional index, regardless of the custom index labels. +- Each element in the Series has a positional index starting from 0 (i.e., 0 for the first element, 1 for the second element, and so on). +- `[:]` will return the values of the elements between the start and end positions (excluding the end position). + +#### Example + +```python +import pandas as pd + +s = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) +print(s[:2]) + +#Output +#A 13 +#B 45 +#dtype: int64 +#This example demonstrates that the first two elements (positions 0 and 1) are returned, regardless of their custom index labels. +``` + + +## Operation on series object + +### Modifying elements and indexes +* [indexes]=< new data value > +* [start : end]=< new data value > +* .index=[new indexes] + +```python +import pandas as pd + +s8 = pd.Series([10, 20, 30], index=['a', 'b', 'c']) +s8['a'] = 100 +s8.index = ['x', 'y', 'z'] +print(s8) + +#output +#x 100 +#y 20 +#z 30 +#dtype: int64 +``` + +**Note: Series object are value-mutable but size immutable objects.** + +### vector operations +We can perform vector operations such as `+`,`-`,`/`,`%` etc. +```python +import pandas as pd + +s9 = pd.Series([1, 2, 3]) +print("addition:", s9 + 5) +print("subtraction:", s9 - 2) + +#output: +#addition: +#0 6 +#1 7 +#2 8 +#dtype: int64 +#subtraction: +#0 -1 +#1 0 +#2 1 +#dtype: int64 +``` + +### Arthmetic on series object +```python +import pandas as pd + +s10 = pd.Series([1, 2, 3]) +s11 = pd.Series([4, 5, 6]) +print("addition:", s10 + s11) + +print("multiplication:", s10 * s11) + +#output: +#addition: +#0 5 +#1 7 +#2 9 +#dtype: int64 +#multiplication: +#0 4 +#1 10 +#2 18 +#dtype: int64 +``` + +Here one thing we should keep in mind that both the series object should have same indexes otherwise it will return NaN value to all the indexes of two series object . + + +### Head and Tail Functions + +| **Functions** | **Description** | +|--------------------------|---------------------------------------------------| +| `.head(n)` | return the first n elements of the series | +| `.tail(n)` | return the last n elements of the series | + +```python +import pandas as pd + +s12 = pd.Series([10, 20, 30, 40, 50, 60, 70, 80, 90, 100]) +print(s12.head(3)) +print(s12.tail(3)) + +#output +#0 10 +#1 20 +#2 30 +#dtype: int64 + +#7 80 +#8 90 +#9 100 +#dtype: int64 +``` +If you dont provide any value to n the by default it give results for `n=5`. + +### Few extra functions: +| **Function** | **Description** | +|----------------------------------------|------------------------------------------------------------------------| +| `.sort_values()` | Return the Series object in ascending order based on its values. | +| `.sort_index()` | Return the Series object in ascending order based on its index. | +| `.sort_drop()` | Return the Series with the deleted index and its corresponding value. | +```python +import pandas as pd + +s13 = pd.Series([3, 1, 2], index=['c', 'a', 'b']) +print(s13.sort_values()) +print(s13.sort_index()) +print(s13.drop('a')) +#Output +#a 1 +#b 2 +#c 3 +#dtype: int64 + +#a 1 +#b 2 +#c 3 +#dtype: int64 + +#c 3 +#b 2 +#dtype: int64 +``` + +## Conclusion +In short, Pandas Series is a fundamental data structure in Python for handling one-dimensional data. It combines an array of values with an index, offering efficient methods for data manipulation and analysis. With its ease of use and powerful functionality, Pandas Series is widely used in data science and analytics for tasks such as data cleaning, exploration, and visualization. \ No newline at end of file From 518ffd2149049b79435f26887334937f370ed84c Mon Sep 17 00:00:00 2001 From: Apoorva-Atre Date: Mon, 10 Jun 2024 11:21:22 +0530 Subject: [PATCH 044/174] Added content on naive bayes in machine-learning --- contrib/machine-learning/naive-bayes.md | 369 ++++++++++++++++++++++++ 1 file changed, 369 insertions(+) create mode 100644 contrib/machine-learning/naive-bayes.md diff --git a/contrib/machine-learning/naive-bayes.md b/contrib/machine-learning/naive-bayes.md new file mode 100644 index 00000000..3f171663 --- /dev/null +++ b/contrib/machine-learning/naive-bayes.md @@ -0,0 +1,369 @@ +# Naive Bayes + +## Introduction + +The Naive Bayes model uses probabilities to predict an outcome.It is a supervised machine learning technique, i.e. it reqires labelled data for training. It is used for classification and is based on the Bayes' Theorem. The basic assumption of this model is the independence among the features, i.e. a feature is unaffected by any other feture. + +## Bayes' Theorem + +Bayes' theorem is given by: + +$$ +P(a|b) = \frac{P(b|a)*P(a)}{P(b)} +$$ + +where: +- $P(a|b)$ is the posterior probability, i.e. probability of 'a' given that 'b' is true, +- $P(b|a)$ is the likelihood probability i.e. probability of 'b' given that 'a' is true, +- $P(a)$ and $P(b)$ are the probabilities of 'a' and 'b' respectively, independent of each other. + + +## Applications + +Naive Bayes classifier has numerous applications including : + 1. Text classification. + 2. Sentiment analysis. + 3. Spam filtering. + 4. Multiclass classification (eg. Weather prediction). + 5. Recommendation Systems. + 6. Healthcare sector. + 7. Document categorization. + + +## Advantages + + 1. Easy to implement. + 2. Useful even if training dataset is limited (where a decision tree would not be recommended). + 3. Supports multiclass classification which is not supported by some machine learning algorithms like SVM and logistic regression. + 4. Scalable, fast and efficient. + +## Disadvantages + + 1. Assumes features to be independent, which may not be true in certain scenarios. + 2. Zero probability error. + 3. Sensitive to noise. + +## Zero Probability Error + + Zero probability error is said to occur if in some case the number of occurances of an event given another event is zero. + To handle zero probability error, Laplace's correction is used by adding a small constant . + +**Example:** + + +Given the data below, find whether tennis can be played if ( outlook=overcast, wind=weak ). + +**Data** + +--- +| SNo | Outlook (A) | Wind (B) | PlayTennis (R) | +|-----|--------------|------------|-------------------| +| 1 | Rain | Weak | No | +| 2 | Rain | Strong | No | +| 3 | Overcast | Weak | Yes | +| 4 | Rain | Weak | Yes | +| 5 | Overcast | Weak | Yes | +| 6 | Rain | Strong | No | +| 7 | Overcast | Strong | Yes | +| 8 | Rain | Weak | No | +| 9 | Overcast | Weak | Yes | +| 10 | Rain | Weak | Yes | +--- + +- **Calculate prior probabilities** + +$$ + P(Yes) = \frac{6}{10} = 0.6 +$$ +$$ + P(No) = \frac{4}{10} = 0.4 +$$ + +- **Calculate likelihoods** + + 1.**Outlook (A):** + + --- + | A\R | Yes | No | + |-----------|-------|-----| + | Rain | 2 | 4 | + | Overcast | 4 | 0 | + | Total | 6 | 4 | + --- + +- Rain: + +$$ +P(Rain|Yes) = \frac{2}{6} +$$ + +$$ +P(Rain|No) = \frac{4}{4} +$$ + +- Overcast: + +$$ + P(Overcast|Yes) = \frac{4}{6} +$$ +$$ + P(Overcast|No) = \frac{0}{4} +$$ + + +Here, we can see that + $$ + P(Overcast|No) = 0 + $$ +This is a zero probability error! + +Since probability is 0, naive bayes model fails to predict. + + **Applying Laplace's correction:** + + In Laplace's correction, we scale the values for 1000 instances. + - **Calculate prior probabilities** + + $$ + P(Yes) = \frac{600}{1002} + $$ + + $$ + P(No) = \frac{402}{1002} + $$ + +- **Calculate likelihoods** + + 1. **Outlook (A):** + + + ( Converted to 1000 instances ) + + We will add 1 instance each to the (PlayTennis|No) column {Laplace's correction} + + --- + | A\R | Yes | No | + |-----------|-------|---------------| + | Rain | 200 | (400+1)=401 | + | Overcast | 400 | (0+1)=1 | + | Total | 600 | 402 | + --- + + - **Rain:** + + $$ + P(Rain|Yes) = \frac{200}{600} + $$ + $$ + P(Rain|No) = \frac{401}{402} + $$ + + - **Overcast:** + + $$ + P(Overcast|Yes) = \frac{400}{600} + $$ + $$ + P(Overcast|No) = \frac{1}{402} + $$ + + + 2. **Wind (B):** + + + --- + | B\R | Yes | No | + |-----------|---------|-------| + | Weak | 500 | 200 | + | Strong | 100 | 200 | + | Total | 600 | 400 | + --- + + - **Weak:** + + $$ + P(Weak|Yes) = \frac{500}{600} + $$ + $$ + P(Weak|No) = \frac{200}{400} + $$ + + - **Strong:** + + $$ + P(Strong|Yes) = \frac{100}{600} + $$ + $$ + P(Strong|No) = \frac{200}{400} + $$ + + - **Calculting probabilities:** + + $$ + P(PlayTennis|Yes) = P(Yes) * P(Overcast|Yes) * P(Weak|Yes) + $$ + $$ + = \frac{600}{1002} * \frac{400}{600} * \frac{500}{600} + $$ + $$ + = 0.3326 + $$ + + $$ + P(PlayTennis|No) = P(No) * P(Overcast|No) * P(Weak|No) + $$ + $$ + = \frac{402}{1002} * \frac{1}{402} * \frac{200}{400} + $$ + $$ + = 0.000499 = 0.0005 + $$ + + +Since , +$$ + P(PlayTennis|Yes) > P(PlayTennis|No) +$$ +we can conclude that tennis can be played if outlook is overcast and wind is weak. + + +# Types of Naive Bayes classifier + + +## Guassian Naive Bayes + + It is used when the dataset has **continuous data**. It assumes that the data is distributed normally (also known as guassian distribution). + A guassian distribution can be characterized by a bell-shaped curve. + + **Continuous data features :** Features which can take any real values within a certain range. These features have an infinite number of possible values.They are generally measured, not counted. + eg. weight, height, temperature, etc. + + **Code** + + ```python + +#import libraries +import pandas as pd +from sklearn.model_selection import train_test_split +from sklearn.naive_bayes import GaussianNB +from sklearn import metrics +from sklearn.metrics import confusion_matrix + +#read data +d=pd.read_csv("data.csv") +df=pd.DataFrame(d) + +X = df.iloc[:,1:7:1] +y = df.iloc[:,7:8:1] + +# splitting X and y into training and testing sets +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.20, random_state=42) + + +# training the model on training set +obj = GaussianNB() +obj.fit(X_train, y_train) + +#making predictions on the testing set +y_pred = obj.predict(X_train) + +#comparing y_test and y_pred +print("Gaussian Naive Bayes model accuracy:", metrics.accuracy_score(y_train, y_pred)) +print("Confusion matrix: \n",confusion_matrix(y_train,y_pred)) + + ``` + + +## Multinomial Naive Bayes + + Appropriate when the features are categorical or countable. It models the likelihood of each feature as a multinomial distribution. + Multinomial distribution is used to find probabilities of each category, given multiple categories (eg. Text classification). + + **Code** + + ```python + +#import libraries +import pandas as pd +from sklearn.model_selection import train_test_split +from sklearn.naive_bayes import MultinomialNB +from sklearn import metrics +from sklearn.metrics import confusion_matrix + +#read data +d=pd.read_csv("data.csv") +df=pd.DataFrame(d) + +X = df.iloc[:,1:7:1] +y = df.iloc[:,7:8:1] + +# splitting X and y into training and testing sets +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.20, random_state=42) + + +# training the model on training set +obj = MultinomialNB() +obj.fit(X_train, y_train) + +#making predictions on the testing set +y_pred = obj.predict(X_train) + +#comparing y_test and y_pred +print("Gaussian Naive Bayes model accuracy:", metrics.accuracy_score(y_train, y_pred)) +print("Confusion matrix: \n",confusion_matrix(y_train,y_pred)) + + + ``` + +## Bernoulli Naive Bayes + + It is specifically designed for binary features (eg. Yes or No). It models the likelihood of each feature as a Bernoulli distribution. + Bernoulli distribution is used when there are only two possible outcomes (eg. success or failure of an event). + + **Code** + + ```python + +#import libraries +import pandas as pd +from sklearn.model_selection import train_test_split +from sklearn.naive_bayes import BernoulliNB +from sklearn import metrics +from sklearn.metrics import confusion_matrix + +#read data +d=pd.read_csv("data.csv") +df=pd.DataFrame(d) + +X = df.iloc[:,1:7:1] +y = df.iloc[:,7:8:1] + +# splitting X and y into training and testing sets +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.20, random_state=42) + + +# training the model on training set +obj = BernoulliNB() +obj.fit(X_train, y_train) + +#making predictions on the testing set +y_pred = obj.predict(X_train) + +#comparing y_test and y_pred +print("Gaussian Naive Bayes model accuracy:", metrics.accuracy_score(y_train, y_pred)) +print("Confusion matrix: \n",confusion_matrix(y_train,y_pred)) + + ``` + + +## Evaluation + + 1. Confusion matrix. + 2. Accuracy. + 3. ROC curve. + + +## Conclusion + + Although the assumption that the features are independent of each other may limit the naive bayes model in some cases, the simplicity and efficiency of this classifier makes it a valuable and reliable model in the domain of machine learning. Naive Bayes classifiers are suitable for a wide range of classification problems. + \ No newline at end of file From 684344bdccdbb480bec116ec1d649f67c7535ce1 Mon Sep 17 00:00:00 2001 From: Apoorva-Atre Date: Mon, 10 Jun 2024 11:35:45 +0530 Subject: [PATCH 045/174] Added naive bayes in machine-learning index --- contrib/machine-learning/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 0bf39f98..0369c43b 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -20,3 +20,4 @@ - [Grid Search](grid-search.md) - [Transformers](transformers.md) - [K-nearest neighbor (KNN)](knn.md) +- [Naive Bayes](naive-bayes.md) From 6a03b12726c158ca77414cfa586f8e40c962da56 Mon Sep 17 00:00:00 2001 From: Lingamuneni Santhosh Siddhardha <103999924+Santhosh-Siddhardha@users.noreply.github.com> Date: Mon, 10 Jun 2024 11:57:56 +0530 Subject: [PATCH 046/174] Create magic-methods.md Added intro Added Commonly used methods Added examples Added Output Added Conclusion --- contrib/advanced-python/magic-methods.md | 151 +++++++++++++++++++++++ 1 file changed, 151 insertions(+) create mode 100644 contrib/advanced-python/magic-methods.md diff --git a/contrib/advanced-python/magic-methods.md b/contrib/advanced-python/magic-methods.md new file mode 100644 index 00000000..447e36b5 --- /dev/null +++ b/contrib/advanced-python/magic-methods.md @@ -0,0 +1,151 @@ +# Magic Methods + +Magic methods, also known as dunder (double underscore) methods, are special methods in Python that start and end with double underscores (`__`). +These methods allow you to define the behavior of objects for built-in operations and functions, enabling you to customize how your objects interact with the +language's syntax and built-in features. Magic methods make your custom classes integrate seamlessly with Python’s built-in data types and operations. + +**Commonly Used Magic Methods** + +1. **Initialization and Representation** + - `__init__(self, ...)`: Called when an instance of the class is created. Used for initializing the object's attributes. + - `__repr__(self)`: Returns a string representation of the object, useful for debugging and logging. + - `__str__(self)`: Returns a human-readable string representation of the object. + +**Example** : + + ```python + class Person: + def __init__(self, name, age): + self.name = name + self.age = age + + def __repr__(self): + return f"Person({self.name}, {self.age})" + + def __str__(self): + return f"{self.name}, {self.age} years old" + + p = Person("Alice", 30) + print(repr(p)) + print(str(p)) + ``` + +**Output** : +```python +Person("Alice",30) +Alice, 30 years old +``` + +2. **Arithmetic Operations** + - `__add__(self, other)`: Defines behavior for the `+` operator. + - `__sub__(self, other)`: Defines behavior for the `-` operator. + - `__mul__(self, other)`: Defines behavior for the `*` operator. + - `__truediv__(self, other)`: Defines behavior for the `/` operator. + + +**Example** : + + ```python + class Vector: + def __init__(self, x, y): + self.x = x + self.y = y + + def __add__(self, other): + return Vector(self.x + other.x, self.y + other.y) + + def __repr__(self): + return f"Vector({self.x}, {self.y})" + + v1 = Vector(2, 3) + v2 = Vector(1, 1) + v3 = v1 + v2 + print(v3) + ``` + +**Output** : + +```python +Vector(3, 4) +``` + +3. **Comparison Operations** + - `__eq__(self, other)`: Defines behavior for the `==` operator. + - `__lt__(self, other)`: Defines behavior for the `<` operator. + - `__le__(self, other)`: Defines behavior for the `<=` operator. + +**Example** : + + ```python + class Person: + def __init__(self, name, age): + self.name = name + self.age = age + + def __eq__(self, other): + return self.age == other.age + + def __lt__(self, other): + return self.age < other.age + + p1 = Person("Alice", 30) + p2 = Person("Bob", 25) + print(p1 == p2) + print(p1 < p2) + ``` + + **Output** : + + ```python + False + False + ``` + +5. **Container and Sequence Methods** + + - `__len__(self)`: Defines behavior for the `len()` function. + - `__getitem__(self, key)`: Defines behavior for indexing (`self[key]`). + - `__setitem__(self, key, value)`: Defines behavior for item assignment (`self[key] = value`). + - `__delitem__(self, key)`: Defines behavior for item deletion (`del self[key]`). + +**Example** : + + ```python + class CustomList: + def __init__(self, *args): + self.items = list(args) + + def __len__(self): + return len(self.items) + + def __getitem__(self, index): + return self.items[index] + + def __setitem__(self, index, value): + self.items[index] = value + + def __delitem__(self, index): + del self.items[index] + + def __repr__(self): + return f"CustomList({self.items})" + + cl = CustomList(1, 2, 3) + print(len(cl)) + print(cl[1]) + cl[1] = 5 + print(cl) + del cl[1] + print(cl) + ``` + +**Output** : +```python +3 +2 +CustomList([1, 5, 3]) +CustomList([1, 3]) +``` + +Magic methods provide powerful ways to customize the behavior of your objects and make them work seamlessly with Python's syntax and built-in functions. +Use them judiciously to enhance the functionality and readability of your classes. From 120f3eb9e6618508cb9b4244aff94a32e9f02348 Mon Sep 17 00:00:00 2001 From: Lingamuneni Santhosh Siddhardha <103999924+Santhosh-Siddhardha@users.noreply.github.com> Date: Mon, 10 Jun 2024 11:59:05 +0530 Subject: [PATCH 047/174] Update index.md Added Magic Methods section --- contrib/advanced-python/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/advanced-python/index.md b/contrib/advanced-python/index.md index b093e44e..387ffd33 100644 --- a/contrib/advanced-python/index.md +++ b/contrib/advanced-python/index.md @@ -18,3 +18,4 @@ - [Reduce](reduce-function.md) - [List Comprehension](list-comprehension.md) - [Eval Function](eval_function.md) +- [Magic Methods](magic-methods.md) From a0e9936ce91dcbb26e2a3230e5f4d9c0c1d3f976 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Mon, 10 Jun 2024 12:09:17 +0530 Subject: [PATCH 048/174] SciPy_Graphs.md --- contrib/scipy/SciPy_Graphs.md | 137 ++++++++++++++++++++++++++++++++++ 1 file changed, 137 insertions(+) create mode 100644 contrib/scipy/SciPy_Graphs.md diff --git a/contrib/scipy/SciPy_Graphs.md b/contrib/scipy/SciPy_Graphs.md new file mode 100644 index 00000000..747ede73 --- /dev/null +++ b/contrib/scipy/SciPy_Graphs.md @@ -0,0 +1,137 @@ +# SciPy Graphs +Graphs are also a type of data structure, SciPy provides a module called scipy.sparse.csgraph for working with graphs. +## Adjacency Matrix +An adjacency matrix is a way of representing a graph using a square matrix. In the matrix, the element at the i-th row and j-th column indicates whether there is an edge from vertex +i to vertex j. +``` +import numpy as np +from scipy.sparse import csr_matrix + +adj_matrix = np.array([ + [0, 1, 0, 0], + [1, 0, 1, 0], + [0, 1, 0, 1], + [0, 0, 1, 0] +]) + + +sparse_matrix = csr_matrix(adj_matrix) + +print(sparse_matrix) +``` +In this example: + +1. The graph has 4 nodes. +2. is an edge between node 0 and node 1, node 1 and node 2, and node 2 and node 3. +3. The csr_matrix function converts the dense adjacency matrix into a compressed sparse row (CSR) format, which is efficient for storing large, sparse matrices. +## Floyd Warshall +The Floyd-Warshall algorithm is a classic algorithm used to find the shortest paths between all pairs of nodes in a weighted graph. +``` +import numpy as np +from scipy.sparse.csgraph import floyd_warshall +from scipy.sparse import csr_matrix + +arr = np.array([ + [0, 1, 2], + [1, 0, 0], + [2, 0, 0] +]) + +newarr = csr_matrix(arr) + +print(floyd_warshall(newarr, return_predecessors=True)) +``` +### Output +``` +(array([[0., 1., 2.], + [1., 0., 3.], + [2., 3., 0.]]), array([[-9999, 0, 0], + [ 1, -9999, 0], + [ 2, 0, -9999]], dtype=int32)) +``` +## Dijkstra +Dijkstra's algorithm is used to find the shortest path from a source node to all other nodes in a graph with non-negative edge weights. +``` +import numpy as np +from scipy.sparse.csgraph import dijkstra +from scipy.sparse import csr_matrix + +arr = np.array([ + [0, 1, 2], + [1, 0, 0], + [2, 0, 0] +]) + +newarr = csr_matrix(arr) + +print(dijkstra(newarr, return_predecessors=True, indices=0)) +``` +### Output +``` +(array([ 0., 1., 2.]), array([-9999, 0, 0], dtype=int32)) +``` +## Bellman Ford +The Bellman-Ford algorithm is used to find the shortest path from a single source vertex to all other vertices in a weighted graph. It can handle graphs with negative weights, and it also detects negative weight cycles. +``` +import numpy as np +from scipy.sparse.csgraph import bellman_ford +from scipy.sparse import csr_matrix + +arr = np.array([ + [0, -1, 2], + [1, 0, 0], + [2, 0, 0] +]) + +newarr = csr_matrix(arr) + +print(bellman_ford(newarr, return_predecessors=True, indices=0)) +``` +### Output +``` +(array([ 0., -1., 2.]), array([-9999, 0, 0], dtype=int32)) +``` +## Depth First Order +Depth-First Search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root and explores as far as possible along each branch before backtracking. +``` +import numpy as np +from scipy.sparse.csgraph import depth_first_order +from scipy.sparse import csr_matrix + +arr = np.array([ + [0, 1, 0, 1], + [1, 1, 1, 1], + [2, 1, 1, 0], + [0, 1, 0, 1] +]) + +newarr = csr_matrix(arr) + +print(depth_first_order(newarr, 1)) +``` +### Output +``` +(array([1, 0, 3, 2], dtype=int32), array([ 1, -9999, 1, 0], dtype=int32)) +``` +## Breadth First Order +Breadth-First Search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the root present depth level before moving on to nodes at the next depth level. +``` +import numpy as np +from scipy.sparse.csgraph import breadth_first_order +from scipy.sparse import csr_matrix + +arr = np.array([ + [0, 1, 0, 1], + [1, 1, 1, 1], + [2, 1, 1, 0], + [0, 1, 0, 1] +]) + +newarr = csr_matrix(arr) + +print(breadth_first_order(newarr, 1)) +``` +### Output +``` +(array([1, 0, 2, 3], dtype=int32), array([ 1, -9999, 1, 1], dtype=int32)) +``` From 8dfaed116e75ea44d56b47dbf851d0c20b8c10e8 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Mon, 10 Jun 2024 12:11:06 +0530 Subject: [PATCH 049/174] Delete contrib/plotting-visualization/Visualizing_nifti_files.md --- .../Visualizing_nifti_files.md | 121 ------------------ 1 file changed, 121 deletions(-) delete mode 100644 contrib/plotting-visualization/Visualizing_nifti_files.md diff --git a/contrib/plotting-visualization/Visualizing_nifti_files.md b/contrib/plotting-visualization/Visualizing_nifti_files.md deleted file mode 100644 index bcd26196..00000000 --- a/contrib/plotting-visualization/Visualizing_nifti_files.md +++ /dev/null @@ -1,121 +0,0 @@ -## NIfTI Files -Neuroimaging Informatics Technology Initiative is a data format for storage. Functional Magnetic Resonance Imaging (fMRI) and other medical images. -## In this, we'll be using different packages: -1. Matplotlib -2. Nibabel: It gives access to a variety of imaging formats, it provides a common interface for various formats produced by different scanners. - -## Various Methods for viewing a NIfTI file -### 1. Load NIfTI file -``` -brain_vol = nib.load("") #Enter the path to NIfTI file here -type(brain_vol) -``` -### 2. View Metadata -``` -print(brain_vol.header) -``` -### Output -``` - object, endian='<' -sizeof_hdr : 348 -data_type : b'' -db_name : b'' -extents : 0 -session_error : 0 -regular : b'r' -dim_info : 54 -dim : [ 3 192 256 256 1 1 1 1] -intent_p1 : 0.0 -intent_p2 : 0.0 -intent_p3 : 0.0 -intent_code : none -datatype : int16 -bitpix : 16 -slice_start : 0 -pixdim : [1. 1. 1. 1. 2.3 0. 0. 0. ] -vox_offset : 0.0 -scl_slope : nan -scl_inter : nan -slice_end : 0 -slice_code : unknown -xyzt_units : 10 -cal_max : 0.0 -cal_min : 0.0 -slice_duration : 0.0 -toffset : 0.0 -glmax : 0 -glmin : 0 -descrip : b'TE=2.7;Time=150734.828;phase=1' -aux_file : b'' -qform_code : scanner -sform_code : scanner -quatern_b : 0.00042526424 -quatern_c : -0.027039066 -quatern_d : 0.01571919 -qoffset_x : -81.5222 -qoffset_y : -130.72974 -qoffset_z : -144.47054 -srow_x : [ 9.9804670e-01 -3.1445995e-02 -5.4038301e-02 -8.1522202e+01] -srow_y : [ 3.1400096e-02 9.9950546e-01 -1.7001767e-03 -1.3072974e+02] -srow_z : [ 5.4065209e-02 4.7863640e-08 9.9853742e-01 -1.4447054e+02] -intent_name : b'' -magic : b'n+1' -``` -### 3. Access data in the NIfTI object -``` -brain_vol_data = brain_vol.get_fdata() -type(brain_vol_data) -``` -### Output -``` -numpy.ndarray -``` -### Dimensions of the image -``` -brain_vol_data.shape -``` -### Output -``` -(192, 256, 256) -``` -### 4. Visualize a Slice -``` -plt.imshow(brain_vol_data[96], cmap='bone') -plt.axis('off') -plt.show() -``` -The image can be rotated -``` -plt.imshow(ndi.rotate(brain_vol_data[96], 90), cmap='bone') -plt.axis('off') -plt.show() -``` -### Plot a series of slices -``` -fig_rows = 4 -fig_cols = 4 -n_subplots = fig_rows * fig_cols -n_slice = brain_vol_data.shape[0] -step_size = n_slice // n_subplots -plot_range = n_subplots * step_size -start_stop = int((n_slice - plot_range) / 2) - -fig, axs = plt.subplots(fig_rows, fig_cols, figsize=[10, 10]) - -for idx, img in enumerate(range(start_stop, plot_range, step_size)): - axs.flat[idx].imshow(ndi.rotate(brain_vol_data[img, :, :], 90), cmap='gray') - axs.flat[idx].axis('off') - -plt.tight_layout() -plt.show() -``` -### Multiples slices at once -``` -plotting.plot_img(brain_vol, display_mode='mosaic', cmap='gray') -plt.show() -``` - - - - - From 35ca73c13ab69728a317ee32859a770e45d8a948 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Mon, 10 Jun 2024 12:13:15 +0530 Subject: [PATCH 050/174] index.md --- contrib/scipy/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/scipy/index.md b/contrib/scipy/index.md index 57371141..4916bfff 100644 --- a/contrib/scipy/index.md +++ b/contrib/scipy/index.md @@ -1,4 +1,5 @@ # List of sections - [Installation of Scipy and its key uses](installation_features.md) +- [SciPy Graphs](SciPy_Graphs.md) From 23e146c14508dbec01ed1f3fcc2d72fa1c7320f9 Mon Sep 17 00:00:00 2001 From: Niyonika Gaur <83643952+niyonikagaur@users.noreply.github.com> Date: Mon, 10 Jun 2024 12:13:53 +0530 Subject: [PATCH 051/174] index.md --- contrib/plotting-visualization/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 03994ec4..7a33cc14 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,4 +1,4 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) -- [Visualizing NIfTI files](Visualizing_nifti_files.md) + From d886f800a8731d8f445e8126ffc699e80240ad32 Mon Sep 17 00:00:00 2001 From: Apoorva-Atre Date: Mon, 10 Jun 2024 12:32:40 +0530 Subject: [PATCH 052/174] modified naive bayes file --- contrib/machine-learning/naive-bayes.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/machine-learning/naive-bayes.md b/contrib/machine-learning/naive-bayes.md index 3f171663..82525997 100644 --- a/contrib/machine-learning/naive-bayes.md +++ b/contrib/machine-learning/naive-bayes.md @@ -365,5 +365,5 @@ print("Confusion matrix: \n",confusion_matrix(y_train,y_pred)) ## Conclusion - Although the assumption that the features are independent of each other may limit the naive bayes model in some cases, the simplicity and efficiency of this classifier makes it a valuable and reliable model in the domain of machine learning. Naive Bayes classifiers are suitable for a wide range of classification problems. + We can conclude that naive bayes may limit in some cases due to the assumption that the features are independent of each other but still reliable in many cases. Naive Bayes is an efficient classifier and works even on small datasets. \ No newline at end of file From 8d4d11464f486ca16f1d5cfa7f5501f09466672d Mon Sep 17 00:00:00 2001 From: mankalavaishnavi Date: Mon, 10 Jun 2024 16:39:15 +0530 Subject: [PATCH 053/174] added heaps --- contrib/ds-algorithms/heaps.md | 164 +++++++++++++++++++++++++++++++++ 1 file changed, 164 insertions(+) create mode 100644 contrib/ds-algorithms/heaps.md diff --git a/contrib/ds-algorithms/heaps.md b/contrib/ds-algorithms/heaps.md new file mode 100644 index 00000000..396186c7 --- /dev/null +++ b/contrib/ds-algorithms/heaps.md @@ -0,0 +1,164 @@ +# Heaps in Python3 + +## Definition: +Heaps are a crucial data structure that support efficient priority queue operations. They come in two main types: min heaps and max heaps. Python's heapq module provides a robust implementation for min heaps, and with some minor adjustments, it can also be used to implement max heaps. + +## Overview: +A heap is a specialized binary tree-based data structure that satisfies the heap property: + +- **Min Heap:** The key at the root must be the minimum among all keys present in the Binary Heap. This property must be recursively true for all nodes in the Binary Tree. + +- **Max Heap:** The key at the root must be the maximum among all keys present in the Binary Heap. This property must be recursively true for all nodes in the Binary Tree. + +## Python heapq Module: +The heapq module provides an implementation of the heap queue algorithm, also known as the priority queue algorithm. + +- **Min Heap:** In a min heap, the smallest element is always at the root. Here's how to use heapq to create and manipulate a min heap: + + ```python + import heapq + +# Create an empty heap +min_heap = [] + +# Adding elements to the heap + +heapq.heappush(min_heap, 10) +heapq.heappush(min_heap, 5) +heapq.heappush(min_heap, 3) +heapq.heappush(min_heap, 12) +print("Min Heap:", min_heap) + +# Pop the smallest element +smallest = heapq.heappop(min_heap) +print("Smallest element:", smallest) +print("Min Heap after pop:", min_heap) +``` +**Output:** + ```python +Min Heap: [3, 5, 10, 12] +Smallest element: 3 +Min Heap after pop: [5, 12, 10] +``` + +- **Max Heap:** To create a max heap, we can store negative values. +```python +import heapq + +# Create an empty heap +max_heap = [] + +# Adding elements to the heap by pushing negative values +heapq.heappush(max_heap, -10) +heapq.heappush(max_heap, -5) +heapq.heappush(max_heap, -3) +heapq.heappush(max_heap, -12) + +# Convert back to positive values for display +print("Max Heap:", [-x for x in max_heap]) + +# Pop the largest element +largest = -heapq.heappop(max_heap) +print("Largest element:", largest) +print("Max Heap after pop:", [-x for x in max_heap]) + +``` +**Output:** +```python +Max Heap: [12, 10, 3, 5] +Largest element: 12 +Max Heap after pop: [10, 5, 3] +``` + +## Heap Operations: +1. **Push Operation:** Adds an element to the heap, maintaining the heap property.
    +```python +heapq.heappush(heap, item) +``` +2. **Pop Operation:** Removes and returns the smallest element from the heap.
    +```python +smallest = heapq.heappop(heap) +``` +3. **Heapify Operation:** Converts a list into a heap in-place.
    +```python +heapq.heapify(list) +``` +4. **Peek Operation:** To get the smallest element without popping it (not directly available, but can be done by accessing the first element). +```python +smallest = heap[0] +``` + +## Example: +```python +# importing "heapq" to implement heap queue +import heapq + +# initializing list +li = [15, 77, 90, 1, 3] + +# using heapify to convert list into heap +heapq.heapify(li) + +# printing created heap +print("The created heap is : ", end="") +print(list(li)) + +# using heappush() to push elements into heap +# pushes 4 +heapq.heappush(li, 4) + +# printing modified heap +print("The modified heap after push is : ", end="") +print(list(li)) + +# using heappop() to pop smallest element +print("The popped and smallest element is : ", end="") +print(heapq.heappop(li)) + +``` + +Output: +```python +The created heap is : [1, 3, 15, 77, 90] +The modified heap after push is : [1, 3, 4, 15, 77, 90] +The popped and smallest element is : 1 +``` + +## Advantages and Disadvantages of Heaps: + +## Advantages: + +**Efficient:** Heap queues, implemented in Python's heapq module, offer remarkable efficiency in managing priority queues and heaps. With logarithmic time complexity for key operations, they are widely favored in various applications for their performance. + +**Space-efficient:** Leveraging an array-based representation, heap queues optimize memory usage compared to node-based structures like linked lists. This design minimizes overhead, enhancing efficiency in memory management. + +**Ease of Use:** Python's heap queues boast a user-friendly API, simplifying fundamental operations such as insertion, deletion, and retrieval. This simplicity contributes to rapid development and code maintenance. + +**Flexibility:** Beyond their primary use in priority queues and heaps, Python's heap queues lend themselves to diverse applications. They can be adapted to implement various data structures, including binary trees, showcasing their versatility and broad utility across different domains. + +## Disadvantages: + +**Limited functionality:** Heap queues are primarily designed for managing priority queues and heaps, and may not be suitable for more complex data structures and algorithms. + +**No random access:** Heap queues do not support random access to elements, making it difficult to access elements in the middle of the heap or modify elements that are not at the top of the heap. + +**No sorting:** Heap queues do not support sorting, so if you need to sort elements in a specific order, you will need to use a different data structure or algorithm. + +**Not thread-safe:** Heap queues are not thread-safe, meaning that they may not be suitable for use in multi-threaded applications where data synchronization is critical. + +## Real-Life Examples of Heaps: + +1. **Priority Queues:** +Heaps are commonly used to implement priority queues, which are used in various algorithms like Dijkstra's shortest path algorithm and Prim's minimum spanning tree algorithm. + +2. **Scheduling Algorithms:** +Heaps are used in job scheduling algorithms where tasks with the highest priority need to be processed first. + +3. **Merge K Sorted Lists:** +Heaps can be used to efficiently merge multiple sorted lists into a single sorted list. + +4. **Real-Time Event Simulation:** +Heaps are used in event-driven simulators to manage events scheduled to occur at future times. + +5. **Median Finding Algorithm:** +Heaps can be used to maintain a dynamic set of numbers to find the median efficiently. \ No newline at end of file From 89fe7785d17059c94e7de4c53b799086a3ed7d39 Mon Sep 17 00:00:00 2001 From: mankalavaishnavi Date: Mon, 10 Jun 2024 16:45:31 +0530 Subject: [PATCH 054/174] updated index.md --- contrib/ds-algorithms/index.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 9c05b15e..aa99f4f0 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -15,4 +15,5 @@ - [Trie](trie.md) - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) -- [Hashing through Chaining](hashing-chaining.md) \ No newline at end of file +- [Hashing through Chaining](hashing-chaining.md) +- [Heaps in Python](heaps.md) \ No newline at end of file From 3364f1d353ec2ad096a4d603688c1c7f482dcb28 Mon Sep 17 00:00:00 2001 From: Ritesh Date: Mon, 10 Jun 2024 18:39:49 +0530 Subject: [PATCH 055/174] Create polynomial-regression.md --- .../machine-learning/polynomial-regression.md | 114 ++++++++++++++++++ 1 file changed, 114 insertions(+) create mode 100644 contrib/machine-learning/polynomial-regression.md diff --git a/contrib/machine-learning/polynomial-regression.md b/contrib/machine-learning/polynomial-regression.md new file mode 100644 index 00000000..3f1287e0 --- /dev/null +++ b/contrib/machine-learning/polynomial-regression.md @@ -0,0 +1,114 @@ +# Polynomial Regression + +Polynomial Regression is a form of regression analysis in which the relationship between the independent variable \( x \) and the dependent variable \( y \) is modeled as an \( n \)th degree polynomial. This README provides an overview of polynomial regression, including its fundamental concepts, assumptions, and how to implement it using Python. + +## Table of Contents + +1. [Introduction](#introduction) +2. [Concepts](#concepts) +3. [Assumptions](#assumptions) +4. [Implementation](#implementation) + - [Using Scikit-learn](#using-scikit-learn) + - [Code Example](#code-example) +5. [Evaluation Metrics](#evaluation-metrics) +6. [Conclusion](#conclusion) +7. [References](#references) + +## Introduction + +Polynomial Regression is used when the data shows a non-linear relationship between the independent variable \( x \) and the dependent variable \( y \). It extends the simple linear regression model by considering polynomial terms of the independent variable, allowing for a more flexible fit to the data. + +## Concepts + +### Polynomial Equation + +The polynomial regression model is based on the following polynomial equation: + +$$ +\[ y = \beta_0 + \beta_1 x + \beta_2 x^2 + \beta_3 x^3 + \cdots + \beta_n x^n + \epsilon \] +$$ + +Where: +- \( y \) is the dependent variable. +- \( x \) is the independent variable. +- \( \beta_0, \beta_1, \ldots, \beta_n \) are the coefficients of the polynomial. +- \( \epsilon \) is the error term. + +### Degree of Polynomial + +The degree of the polynomial (n) determines the flexibility of the model. A higher degree allows the model to fit more complex, non-linear relationships, but it also increases the risk of overfitting. + +### Overfitting and Underfitting + +- **Overfitting**: When the model fits the noise in the training data too closely, resulting in poor generalization to new data. +- **Underfitting**: When the model is too simple to capture the underlying pattern in the data. + +## Assumptions + +1. **Independence**: Observations are independent of each other. +2. **Homoscedasticity**: The variance of the residuals (errors) is constant across all levels of the independent variable. +3. **Normality**: The residuals of the model are normally distributed. +4. **No Multicollinearity**: The predictor variables are not highly correlated with each other. + +## Implementation + +### Using Scikit-learn + +Scikit-learn is a popular machine learning library in Python that provides tools for polynomial regression. + +### Code Example + +```python +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt +from sklearn.preprocessing import PolynomialFeatures +from sklearn.linear_model import LinearRegression +from sklearn.metrics import mean_squared_error, r2_score + +# Load dataset +data = pd.read_csv('path/to/your/dataset.csv') + +# Define features and target variable +X = data[['feature']] +y = data['target'] + +# Transform features to polynomial features +poly = PolynomialFeatures(degree=3) +X_poly = poly.fit_transform(X) + +# Initialize and train polynomial regression model +model = LinearRegression() +model.fit(X_poly, y) + +# Make predictions +y_pred = model.predict(X_poly) + +# Evaluate the model +mse = mean_squared_error(y, y_pred) +r2 = r2_score(y, y_pred) +print("Mean Squared Error:", mse) +print("R^2 Score:", r2) + +# Visualize the results +plt.scatter(X, y, color='blue') +plt.plot(X, y_pred, color='red') +plt.xlabel('Feature') +plt.ylabel('Target') +plt.title('Polynomial Regression') +plt.show() +``` + +## Evaluation Metrics + +- **Mean Squared Error (MSE)**: The average of the squared differences between actual and predicted values. +- **R-squared (R²) Score**: A statistical measure that represents the proportion of the variance for the dependent variable that is explained by the independent variables in the model. + +## Conclusion + +Polynomial Regression is a powerful tool for modeling non-linear relationships between variables. It is important to choose the degree of the polynomial carefully to balance between underfitting and overfitting. Understanding and properly evaluating the model using appropriate metrics ensures its effectiveness. + +## References + +- [Scikit-learn Documentation](https://scikit-learn.org/stable/modules/linear_model.html#polynomial-regression) +- [Wikipedia: Polynomial Regression](https://en.wikipedia.org/wiki/Polynomial_reg From b4aaf5587d714e5b925cde85626ab970e858edf0 Mon Sep 17 00:00:00 2001 From: Ritesh Date: Mon, 10 Jun 2024 18:40:58 +0530 Subject: [PATCH 056/174] Update index.md --- contrib/machine-learning/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 0bf39f98..c0e73682 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -20,3 +20,4 @@ - [Grid Search](grid-search.md) - [Transformers](transformers.md) - [K-nearest neighbor (KNN)](knn.md) +- [Polynomial Regression](polynomial-regression.md) From d668b34829b6d005e3a903691e8d71f2142a9a48 Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 21:27:23 +0530 Subject: [PATCH 057/174] Update index.md --- contrib/numpy/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 50e80460..3abfb277 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,3 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) +- [Statistical Operations on Arrays](statistical-operations-on-arrays) From 06bdae004b468a6d2e4d72a3fa3dc513958752cf Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 21:28:01 +0530 Subject: [PATCH 058/174] Create statistical-operations-on-arrays.md --- contrib/numpy/statistical-operations-on-arrays.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 contrib/numpy/statistical-operations-on-arrays.md diff --git a/contrib/numpy/statistical-operations-on-arrays.md b/contrib/numpy/statistical-operations-on-arrays.md new file mode 100644 index 00000000..8b137891 --- /dev/null +++ b/contrib/numpy/statistical-operations-on-arrays.md @@ -0,0 +1 @@ + From f8699a52a752ac381190362594dd202a648837f3 Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 21:28:42 +0530 Subject: [PATCH 059/174] Update index.md --- contrib/numpy/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 3abfb277..4c3edce3 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,4 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) -- [Statistical Operations on Arrays](statistical-operations-on-arrays) +- [Statistical Operations on Arrays](statistical-operations-on-arrays.md) From dc08f67d5603677a9b89baefda7236f787844c5d Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 22:22:10 +0530 Subject: [PATCH 060/174] Update statistical-operations-on-arrays.md --- .../numpy/statistical-operations-on-arrays.md | 153 ++++++++++++++++++ 1 file changed, 153 insertions(+) diff --git a/contrib/numpy/statistical-operations-on-arrays.md b/contrib/numpy/statistical-operations-on-arrays.md index 8b137891..06fbae22 100644 --- a/contrib/numpy/statistical-operations-on-arrays.md +++ b/contrib/numpy/statistical-operations-on-arrays.md @@ -1 +1,154 @@ +# Statistical Operations on Arrays +Statistics involves collecting data, analyzing it, and drawing conclusions from the gathered information. + +NumPy provides powerful statistical functions to perform efficient data analysis on arrays, including `minimum`, `maximum`, `mean`, `median`, `variance`, `standard deviation`, and more. + +## Minimum + +In NumPy, the minimum value of an array is the smallest element present. + +The smallest element of an array is calculated using the `np.min()` function. + +**Code** +```python +import numpy as np +array = np.array([100,20,300,400]) +#Calculating the minimum +result = np.min(array) +print("Minimum :", result) +``` + +**Output** +``` +Minimum : 20 +``` + +## Maximum + +In NumPy, the maximum value of an array is the largest element present. + +The largest element of an array is calculated using the `np.max()` function. + +**Code** +```python +import numpy as np +array = np.array([100,20,300,400]) +#Calculating the maximum +result = np.max(array) +print("Maximum :", result) +``` + +**Output** +``` +Maximum : 400 +``` + +## Mean + +The mean value of a NumPy array is the average of all its elements. + +It is calculated by summing all the elements and then dividing by the total number of elements. + +The mean of an array is calculated using the `np.mean()` function. + +**Code** +```python +import numpy as np +array = np.array([10,20,30,40]) +#Calculating the mean +result = np.mean(array) +print("Mean :", result) +``` + +**Output** +``` +Mean : 25.0 +``` + +## Median + +The median value of a NumPy array is the middle value in a sorted array. + +It separates the higher half of the data from the lower half. + +The median of an array is calculated using the `np.median()` function. + +It is important to note that: + +- If the number of elements is `odd`, the median is the middle element. +- If the number of elements is `even`, the median is the average of the two middle elements. + +**Code** +```python +import numpy as np +#The number of elements is odd +array = np.array([5,6,7,8,9]) +#Calculating the median +result = np.median(array) +print("Median :", result) +``` + +**Output** +``` +Median : 7.0 +``` + +**Code** +```python +import numpy as np +#The number of elements is even +array = np.array([1,2,3,4,5,6]) +#Calculating the median +result = np.median(array) +print("Median :", result) +``` + +**Output** +``` +Median : 3.5 +``` + +## Variance + +Variance in a NumPy array measures the spread or dispersion of data points. + +Calculated as the average of the squared differences from the mean. + +The variance of an array is calculated using the `np.var()` function. + +**Code** +```python +import numpy as np +array = np.array([10,70,80,50,30]) +#Calculating the variance +result = np.var(array) +print("Variance :", result) +``` + +**Output** +``` +Variance : 656.0 +``` + +## Standard Deviation + +The standard deviation of a NumPy array measures the amount of variation or dispersion of the elements in the array. + +It is calculated as the square root of the average of the squared differences from the mean, providing insight into how spread out the values are around the mean. + +The standard deviation of an array is calculated using the `np.std()` function. + +**Code** +```python +import numpy as np +array = np.array([25,30,40,55,75,100]) +#Calculating the standard deviation +result = np.std(array) +print("Standard Deviation :", result) +``` + +**Output** +``` +Standard Deviation : 26.365486699260625 +``` From 259f028a731dffeae342f523f98e1146cf855a2c Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 22:29:28 +0530 Subject: [PATCH 061/174] Create splitting-arrays.md --- contrib/numpy/splitting-arrays.md | 135 ++++++++++++++++++++++++++++++ 1 file changed, 135 insertions(+) create mode 100644 contrib/numpy/splitting-arrays.md diff --git a/contrib/numpy/splitting-arrays.md b/contrib/numpy/splitting-arrays.md new file mode 100644 index 00000000..3228cb71 --- /dev/null +++ b/contrib/numpy/splitting-arrays.md @@ -0,0 +1,135 @@ +# Splitting Arrays + +Splitting a NumPy array refers to dividing the array into smaller sub-arrays. This can be done in various ways, along specific rows, columns, or even based on conditions applied to the elements. + +There are several ways to split a NumPy array in Python using different functions. Some of these methods include: + +- Splitting a NumPy array using `numpy.split()` +- Splitting a NumPy array using `numpy.array_split()` +- Splitting a NumPy array using `numpy.vsplit()` +- Splitting a NumPy array using `numpy.hsplit()` +- Splitting a NumPy array using `numpy.dsplit()` + +## NumPy split() + +The `numpy.split()` function divides an array into equal parts along a specified axis. + +**Code** +```python +import numpy as np +array = np.array([1,2,3,4,5,6]) +#Splitting the array into 3 equal parts along axis=0 +result = np.split(array,3) +print(result) +``` + +**Output** +``` +[array([1, 2]), array([3, 4]), array([5, 6])] +``` + +## NumPy array_split() + +The `numpy.array_split()` function divides an array into equal or nearly equal sub-arrays. Unlike `numpy.split()`, it allows for uneven splitting, making it useful when the array cannot be evenly divided by the specified number of splits. + +**Code** +```python +import numpy as np +array = np.array([1,2,3,4,5,6,7,8]) +#Splitting the array into 3 unequal parts along axis=0 +result = np.array_split(array,3) +print(result) +``` + +**Output** +``` +[array([1, 2, 3]), array([4, 5, 6]), array([7, 8])] +``` + +## NumPy vsplit() + +The `numpy.vsplit()`, which is vertical splitting (row-wise), divides an array along the vertical axis (axis=0). + +**Code** +```python +import numpy as np +array = np.array([[1, 2, 3], + [4, 5, 6], + [7, 8, 9], + [10, 11, 12]]) +#Vertically Splitting the array into 2 subarrays along axis=0 +result = np.vsplit(array,2) +print(result) +``` + +**Output** +``` +[array([[1, 2, 3], + [4, 5, 6]]), array([[ 7, 8, 9], + [10, 11, 12]])] +``` + + +## NumPy hsplit() + +The `numpy.hsplit()`, which is horizontal splitting (column-wise), divides an array along the horizontal axis (axis=1). + +**Code** +```python +import numpy as np +array = np.array([[1, 2, 3, 4], + [5, 7, 8, 9], + [11,12,13,14]]) +#Horizontally Splitting the array into 4 subarrays along axis=1 +result = np.hsplit(array,4) +print(result) +``` + +**Output** +``` +[array([[ 1], + [ 5], + [11]]), array([[ 2], + [ 7], + [12]]), array([[ 3], + [ 8], + [13]]), array([[ 4], + [ 9], + [14]])] +``` + +## NumPy dsplit() + +The`numpy.dsplit()` is employed for splitting arrays along the third axis (axis=2), which is applicable for 3D arrays and beyond. + +**Code** +```python +import numpy as np +#3D array +array = np.array([[[ 1, 2, 3, 4,], + [ 5, 6, 7, 8,], + [ 9, 10, 11, 12]], + [[13, 14, 15, 16,], + [17, 18, 19, 20,], + [21, 22, 23, 24]]]) +#Splitting the array along axis=2 +result = np.dsplit(array,2) +print(result) +``` + +**Output** +``` +[array([[[ 1, 2], + [ 5, 6], + [ 9, 10]], + + [[13, 14], + [17, 18], + [21, 22]]]), array([[[ 3, 4], + [ 7, 8], + [11, 12]], + + [[15, 16], + [19, 20], + [23, 24]]])] +``` From 07c7601ce605bd9a493d99b327cee3ab665799a2 Mon Sep 17 00:00:00 2001 From: Yodha Sudarsi <101962069+Yodha-Sudarsi@users.noreply.github.com> Date: Mon, 10 Jun 2024 22:30:41 +0530 Subject: [PATCH 062/174] Update index.md --- contrib/numpy/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 50e80460..03a1175e 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,3 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) +- [Splitting of Arrays](splitting-arrays.md) From a894cc04238880e54609fed59d5eec16c84e2c2e Mon Sep 17 00:00:00 2001 From: Pradnya Gaitonde Date: Tue, 11 Jun 2024 21:03:47 +0530 Subject: [PATCH 063/174] Added Content for Asynchronous Context managers and generators Added content to asynchronous context managers and generators --- ...synchronous_context_managers_generators.md | 110 ++++++++++++++++++ contrib/advanced-python/index.md | 1 + 2 files changed, 111 insertions(+) create mode 100644 contrib/advanced-python/asynchronous_context_managers_generators.md diff --git a/contrib/advanced-python/asynchronous_context_managers_generators.md b/contrib/advanced-python/asynchronous_context_managers_generators.md new file mode 100644 index 00000000..a78db28f --- /dev/null +++ b/contrib/advanced-python/asynchronous_context_managers_generators.md @@ -0,0 +1,110 @@ +## Asynchronous Context Managers and Generators in Python +Asynchronous programming in Python allows for more efficient use of resources by enabling tasks to run concurrently. Python provides support for asynchronous +context managers and generators, which help manage resources and perform operations asynchronously. + +### Asynchronous Context Managers +Asynchronous context managers are similar to regular context managers but are designed to work with asynchronous code. They use the async with statement and +typically include the '__aenter__' and '__aexit__' methods. + +### Creating an Asynchronous Context Manager +Here's a simple example of an asynchronous context manager: + +```bash +import asyncio + +class AsyncContextManager: + async def __aenter__(self): + print("Entering context") + await asyncio.sleep(1) # Simulate an async operation + return self + + async def __aexit__(self, exc_type, exc, tb): + print("Exiting context") + await asyncio.sleep(1) # Simulate cleanup + +async def main(): + async with AsyncContextManager() as acm: + print("Inside context") + +asyncio.run(main()) +``` + +Output: + +```bash +Entering context +Inside context +Exiting context +``` + +### Asynchronous Generators +Asynchronous generators allow you to yield values within an asynchronous function. They use the async def syntax along with the yield statement and are +iterated using the async for loop. + +### Creating an Asynchronous Generator +Here's a basic example of an asynchronous generator: + +```bash +import asyncio + +async def async_generator(): + for i in range(5): + await asyncio.sleep(1) # Simulate an async operation + yield i + +async def main(): + async for value in async_generator(): + print(value) + +asyncio.run(main()) +``` +Output: +```bash +0 +1 +2 +3 +4 +``` +### Combining Asynchronous Context Managers and Generators +You can combine asynchronous context managers and generators to create more complex and efficient asynchronous workflows. +Example: Fetching Data with an Async Context Manager and Generator +Consider a scenario where you need to fetch data from an API asynchronously and manage the connection using an asynchronous context manager: +```bash +import aiohttp +import asyncio + +class AsyncHTTPClient: + def __init__(self, url): + self.url = url + + async def __aenter__(self): + self.session = aiohttp.ClientSession() + self.response = await self.session.get(self.url) + return self.response + + async def __aexit__(self, exc_type, exc, tb): + await self.response.release() + await self.session.close() + +async def async_fetch(urls): + for url in urls: + async with AsyncHTTPClient(url) as response: + data = await response.text() + yield data + +async def main(): + urls = ["http://example.com", "http://example.org", "http://example.net"] + async for data in async_fetch(urls): + print(data) + +asyncio.run(main()) +``` +### Benefits of Asynchronous Context Managers and Generators +1. Efficient Resource Management: They help manage resources like network connections or file handles more efficiently by releasing them as soon as they are no longer needed. +2. Concurrency: They enable concurrent operations, improving performance in I/O-bound tasks such as network requests or file I/O. +3. Readability and Maintainability: They provide a clear and structured way to handle asynchronous operations, making the code easier to read and maintain. +### Summary +Asynchronous context managers and generators are powerful tools in Python that enhance the efficiency and readability +of asynchronous code. By using 'async with' for resource management and 'async for' for iteration, you can write more performant and maintainable asynchronous +programs. \ No newline at end of file diff --git a/contrib/advanced-python/index.md b/contrib/advanced-python/index.md index b093e44e..a04bb97f 100644 --- a/contrib/advanced-python/index.md +++ b/contrib/advanced-python/index.md @@ -18,3 +18,4 @@ - [Reduce](reduce-function.md) - [List Comprehension](list-comprehension.md) - [Eval Function](eval_function.md) +- [Asynchronous Context Managers & Generators](asynchronous_context_managers_generators.md) From fc5f366e6a64eac6948054af5c51bfee1a82a792 Mon Sep 17 00:00:00 2001 From: Shraman Jain <60072287+Shraman-jain@users.noreply.github.com> Date: Wed, 12 Jun 2024 00:27:10 +0530 Subject: [PATCH 064/174] Update threading.md --- contrib/advanced-python/threading.md | 138 ++++++++++++++++++++++++++- 1 file changed, 137 insertions(+), 1 deletion(-) diff --git a/contrib/advanced-python/threading.md b/contrib/advanced-python/threading.md index 85b5f4bf..07bc4bfe 100644 --- a/contrib/advanced-python/threading.md +++ b/contrib/advanced-python/threading.md @@ -1 +1,137 @@ -#Threading +# Threading in Python +Threading is a sequence of instructions in a program that can be executed independently of the remaining process and +Threads are like lightweight processes that share the same memory space but can execute independently. +The process is an executable instance of a computer program. +This guide provides an overview of the threading module and its key functionalities. + +## Key Characteristics of Threads: +* Shared Memory: All threads within a process share the same memory space, which allows for efficient communication between threads. +* Independent Execution: Each thread can run independently and concurrently. +* Context Switching: The operating system can switch between threads, enabling concurrent execution. + +## Threading Module +This module will allows you to create and manage threads easily. This module includes several functions and classes to work with threads. + +**1. Creating Thread:** +To create a thread in Python, you can use the Thread class from the threading module. + +Example: +```python +import threading + +# Create a thread +thread = threading.Thread() + +# Start the thread +thread.start() + +# Wait for the thread to complete +thread.join() + +print("Thread has finished execution.") +``` +**2. Performing Task with Thread:** +We can also perform a specific task by thread by giving a function as target and its argument as arg ,as a parameter to Thread object. + +Example: + +```python +import threading + +# Define a function that will be executed by the thread +def print_numbers(arg): + for i in range(arg): + print(f"Thread: {i}") +# Create a thread +thread = threading.Thread(target=print_numbers,args=(5,)) + +# Start the thread +thread.start() + +# Wait for the thread to complete +thread.join() + +print("Thread has finished execution.") +``` +**3. Delaying a Task with Thread's Timer Function:** +We can set a time for which we want a thread to start. Timer function takes 4 arguments (interval,function,args,kwargs). + +Example: +```python +import threading + +# Define a function that will be executed by the thread +def print_numbers(arg): + for i in range(arg): + print(f"Thread: {i}") +# Create a thread after 3 seconds +thread = threading.Timer(3,print_numbers,args=(5,)) + +# Start the thread +thread.start() + +# Wait for the thread to complete +thread.join() + +print("Thread has finished execution.") +``` +**4. Creating Multiple Threads** +We can create and manage multiple threads to achieve concurrent execution. + +Example: +```python +import threading + +def print_numbers(thread_name): + for i in range(5): + print(f"{thread_name}: {i}") + +# Create multiple threads +thread1 = threading.Thread(target=print_numbers, args=("Thread 1",)) +thread2 = threading.Thread(target=print_numbers, args=("Thread 2",)) + +# Start the threads +thread1.start() +thread2.start() + +# Wait for both threads to complete +thread1.join() +thread2.join() + +print("Both threads have finished execution.") +``` + +**5. Thread Synchronization** +When we create multiple threads and they access shared resources, there is a risk of race conditions and data corruption. To prevent this, you can use synchronization primitives such as locks. +A lock is a synchronization primitive that ensures that only one thread can access a shared resource at a time. + +Example: +```Python +import threading + +lock = threading.Lock() + +def print_numbers(thread_name): + for i in range(10): + with lock: + print(f"{thread_name}: {i}") + +# Create multiple threads +thread1 = threading.Thread(target=print_numbers, args=("Thread 1",)) +thread2 = threading.Thread(target=print_numbers, args=("Thread 2",)) + +# Start the threads +thread1.start() +thread2.start() + +# Wait for both threads to complete +thread1.join() +thread2.join() + +print("Both threads have finished execution.") +``` + +A ```lock``` object is created using threading.Lock() and The ```with lock``` statement ensures that the lock is acquired before printing and released after printing. This prevents other threads from accessing the print statement simultaneously. + +## Conclusion +Threading in Python is a powerful tool for achieving concurrency and improving the performance of I/O-bound tasks. By understanding and implementing threads using the threading module, you can enhance the efficiency of your programs. To prevent race situations and maintain data integrity, keep in mind that thread synchronization must be properly managed. From bb38f8fb5a9418a359635dcbec275e77e364c6fa Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Wed, 12 Jun 2024 21:57:30 +0530 Subject: [PATCH 065/174] Update K-Means_Clustering.md --- .../machine-learning/K-Means_Clustering.md | 106 ++++++++++-------- 1 file changed, 58 insertions(+), 48 deletions(-) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/K-Means_Clustering.md index 83fbd80a..ee615c34 100644 --- a/contrib/machine-learning/K-Means_Clustering.md +++ b/contrib/machine-learning/K-Means_Clustering.md @@ -1,19 +1,25 @@ # K-Means Clustering Unsupervised Learning Algorithm for Grouping Similar Data. + ## Introduction K-means clustering is a fundamental unsupervised machine learning algorithm that excels at grouping similar data points together. It's a popular choice due to its simplicity and efficiency in uncovering hidden patterns within unlabeled datasets. + ## Unsupervised Learning Unlike supervised learning algorithms that rely on labeled data for training, unsupervised algorithms, like K-means, operate solely on input data (without predefined categories). Their objective is to discover inherent structures or groupings within the data. + ## The K-Means Objective Organize similar data points into clusters to unveil underlying patterns. The main objective is to minimize total intra-cluster variance or the squared function. ![image](assets/knm.png) ## Clusters and Centroids A cluster represents a collection of data points that share similar characteristics. K-means identifies a pre-determined number (k) of clusters within the dataset. Each cluster is represented by a centroid, which acts as its central point (imaginary or real). + ## Minimizing In-Cluster Variation The K-means algorithm strategically assigns each data point to a cluster such that the total variation within each cluster (measured by the sum of squared distances between points and their centroid) is minimized. In simpler terms, K-means strives to create clusters where data points are close to their respective centroids. + ## The Meaning Behind "K-Means" The "means" in K-means refers to the averaging process used to compute the centroid, essentially finding the center of each cluster. + ## K-Means Algorithm in Action ![image](assets/km_.png) The K-means algorithm follows an iterative approach to optimize cluster formation: @@ -24,62 +30,66 @@ The K-means algorithm follows an iterative approach to optimize cluster formatio 4. **Iteration Until Convergence:** Steps 2 and 3 are repeated iteratively until a stopping criterion is met. This criterion can be either: - **Centroid Stability:** No significant change occurs in the centroids' positions, indicating successful clustering. - **Reaching Maximum Iterations:** A predefined number of iterations is completed. - ## Code - Following is a simple implementation of K-Means. + +## Code +Following is a simple implementation of K-Means. - - # Generate and Visualize Sample Data - # import the necessary Libraries - - import numpy as np - import matplotlib.pyplot as plt +```python +# Generate and Visualize Sample Data +# import the necessary Libraries - # Create data points for cluster 1 and cluster 2 - X = -2 * np.random.rand(100, 2) - X1 = 1 + 2 * np.random.rand(50, 2) - - # Combine data points from both clusters - X[50:100, :] = X1 - - # Plot data points and display the plot - plt.scatter(X[:, 0], X[:, 1], s=50, c='b') - plt.show() - - # K-Means Model Creation and Training - from sklearn.cluster import KMeans - - # Create KMeans object with 2 clusters - kmeans = KMeans(n_clusters=2) - kmeans.fit(X) # Train the model on the data - - # Visualize Data Points with Centroids - centroids = kmeans.cluster_centers_ # Get centroids (cluster centers) - - plt.scatter(X[:, 0], X[:, 1], s=50, c='b') # Plot data points again - plt.scatter(centroids[0, 0], centroids[0, 1], s=200, c='g', marker='s') # Plot centroid 1 - plt.scatter(centroids[1, 0], centroids[1, 1], s=200, c='r', marker='s') # Plot centroid 2 - plt.show() # Display the plot with centroids - - # Predict Cluster Label for New Data Point - new_data = np.array([-3.0, -3.0]) - new_data_reshaped = new_data.reshape(1, -1) - predicted_cluster = kmeans.predict(new_data_reshaped) - print("Predicted cluster for new data:", predicted_cluster) - - ### Output: - Before Implementing K-Means Clustering +import numpy as np +import matplotlib.pyplot as plt + +# Create data points for cluster 1 and cluster 2 +X = -2 * np.random.rand(100, 2) +X1 = 1 + 2 * np.random.rand(50, 2) + +# Combine data points from both clusters +X[50:100, :] = X1 + +# Plot data points and display the plot +plt.scatter(X[:, 0], X[:, 1], s=50, c='b') +plt.show() + +# K-Means Model Creation and Training +from sklearn.cluster import KMeans + +# Create KMeans object with 2 clusters +kmeans = KMeans(n_clusters=2) +kmeans.fit(X) # Train the model on the data + +# Visualize Data Points with Centroids +centroids = kmeans.cluster_centers_ # Get centroids (cluster centers) + +plt.scatter(X[:, 0], X[:, 1], s=50, c='b') # Plot data points again +plt.scatter(centroids[0, 0], centroids[0, 1], s=200, c='g', marker='s') # Plot centroid 1 +plt.scatter(centroids[1, 0], centroids[1, 1], s=200, c='r', marker='s') # Plot centroid 2 +plt.show() # Display the plot with centroids + +# Predict Cluster Label for New Data Point +new_data = np.array([-3.0, -3.0]) +new_data_reshaped = new_data.reshape(1, -1) +predicted_cluster = kmeans.predict(new_data_reshaped) +print("Predicted cluster for new data:", predicted_cluster) +``` + +### Output: +Before Implementing K-Means Clustering ![Before Implementing K-Means Clustering](assets/km_2.png) - After Implementing K-Means Clustering - ![After Implementing K-Means Clustering](assets/km_3.png) +After Implementing K-Means Clustering +![After Implementing K-Means Clustering](assets/km_3.png) + +Predicted cluster for new data: `[0]` - Predicted cluster for new data: [0] ## Conclusion **K-Means** can be applied to data that has a smaller number of dimensions, is numeric, and is continuous or can be used to find groups that have not been explicitly labeled in the data. As an example, it can be used for Document Classification, Delivery Store Optimization, or Customer Segmentation. -## Reference -[[Survey of Machine Learning and Data Mining Techniques used in Multimedia System](https://www.researchgate.net/publication/333457161_Survey_of_Machine_Learning_and_Data_Mining_Techniques_used_in_Multimedia_System?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ)] -[[A Clustering Approach for Outliers Detection in a Big Point-of-Sales Database](https://www.researchgate.net/publication/339267868_A_Clustering_Approach_for_Outliers_Detection_in_a_Big_Point-of-Sales_Database?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ)] +## References + +- [Survey of Machine Learning and Data Mining Techniques used in Multimedia System](https://www.researchgate.net/publication/333457161_Survey_of_Machine_Learning_and_Data_Mining_Techniques_used_in_Multimedia_System?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ) +- [A Clustering Approach for Outliers Detection in a Big Point-of-Sales Database](https://www.researchgate.net/publication/339267868_A_Clustering_Approach_for_Outliers_Detection_in_a_Big_Point-of-Sales_Database?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ) From cf01273be27a0d9f82c45a41e505fde46360b749 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Wed, 12 Jun 2024 21:58:13 +0530 Subject: [PATCH 066/174] Update and rename K-Means_Clustering.md to kmeans.md --- contrib/machine-learning/{K-Means_Clustering.md => kmeans.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/machine-learning/{K-Means_Clustering.md => kmeans.md} (100%) diff --git a/contrib/machine-learning/K-Means_Clustering.md b/contrib/machine-learning/kmeans.md similarity index 100% rename from contrib/machine-learning/K-Means_Clustering.md rename to contrib/machine-learning/kmeans.md From 8f0e9808356ae8a02937d490f8952f3de28a42e4 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Wed, 12 Jun 2024 22:16:20 +0530 Subject: [PATCH 067/174] Update index.md --- contrib/machine-learning/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index b6945cd2..62275611 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -16,3 +16,4 @@ - [Types_of_Cost_Functions](cost-functions.md) - [Clustering](clustering.md) - [Grid Search](grid-search.md) +- [K-Means](kmeans.md) From 51011db02b624db7723f246984e3a2d9644c5d57 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 13 Jun 2024 00:38:06 +0530 Subject: [PATCH 068/174] Update kmeans.md --- contrib/machine-learning/kmeans.md | 8 -------- 1 file changed, 8 deletions(-) diff --git a/contrib/machine-learning/kmeans.md b/contrib/machine-learning/kmeans.md index ee615c34..52db92e5 100644 --- a/contrib/machine-learning/kmeans.md +++ b/contrib/machine-learning/kmeans.md @@ -90,11 +90,3 @@ Predicted cluster for new data: `[0]` - [Survey of Machine Learning and Data Mining Techniques used in Multimedia System](https://www.researchgate.net/publication/333457161_Survey_of_Machine_Learning_and_Data_Mining_Techniques_used_in_Multimedia_System?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ) - [A Clustering Approach for Outliers Detection in a Big Point-of-Sales Database](https://www.researchgate.net/publication/339267868_A_Clustering_Approach_for_Outliers_Detection_in_a_Big_Point-of-Sales_Database?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ) - - - - - - - - From 41e41d804d105358a512e7a6aaa0feb1e3db4522 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 13 Jun 2024 01:33:30 +0530 Subject: [PATCH 069/174] Update dynamic-programming.md --- contrib/ds-algorithms/dynamic-programming.md | 20 +++----------------- 1 file changed, 3 insertions(+), 17 deletions(-) diff --git a/contrib/ds-algorithms/dynamic-programming.md b/contrib/ds-algorithms/dynamic-programming.md index 54c6fcbf..0f16d5c9 100644 --- a/contrib/ds-algorithms/dynamic-programming.md +++ b/contrib/ds-algorithms/dynamic-programming.md @@ -51,10 +51,6 @@ print(f"The {n}th Fibonacci number is: {fibonacci(n)}.") - **Time Complexity**: O(n) for both approaches - **Space Complexity**: O(n) for the top-down approach (due to memoization), O(1) for the bottom-up approach -
    -
    -
    - # 2. Longest Common Subsequence The longest common subsequence (LCS) problem is to find the longest subsequence common to two sequences. A subsequence is a sequence that appears in the same relative order but not necessarily contiguous. @@ -112,10 +108,6 @@ print("Length of LCS is", longestCommonSubsequence(S1, S2, m, n)) - **Time Complexity**: O(m * n) for both approaches, where m and n are the lengths of the input sequences - **Space Complexity**: O(m * n) for the memoization table -
    -
    -
    - # 3. 0-1 Knapsack Problem The 0-1 knapsack problem is a classic optimization problem where the goal is to maximize the total value of items selected while keeping the total weight within a specified limit. @@ -146,6 +138,7 @@ capacity = 50 n = len(weights) print("Maximum value that can be obtained:", knapsack(weights, values, capacity, n)) ``` + ## 0-1 Knapsack Problem Code in Python (Bottom-up Approach) ```python @@ -170,14 +163,11 @@ capacity = 50 n = len(weights) print(knapSack(capacity, weights, values, n)) ``` + ## Complexity Analysis - **Time Complexity**: O(n * W) for both approaches, where n is the number of items and W is the capacity of the knapsack - **Space Complexity**: O(n * W) for the memoization table -
    -
    -
    - # 4. Longest Increasing Subsequence The Longest Increasing Subsequence (LIS) is a task is to find the longest subsequence that is strictly increasing, meaning each element in the subsequence is greater than the one before it. This subsequence must maintain the order of elements as they appear in the original sequence but does not need to be contiguous. The goal is to identify the subsequence with the maximum possible length. @@ -190,7 +180,6 @@ The Longest Increasing Subsequence (LIS) is a task is to find the longest subseq ## Longest Increasing Subsequence Code in Python (Top-Down Approach using Memoization) ```python - import sys def f(idx, prev_idx, n, a, dp): @@ -241,10 +230,7 @@ def lis(arr): arr = [10, 22, 9, 33, 21, 50, 41, 60] print("Length of lis is", lis(arr)) ``` + ## Complexity Analysis - **Time Complexity**: O(n * n) for both approaches, where n is the length of the array. - **Space Complexity**: O(n * n) for the memoization table in Top-Down Approach, O(n) in Bottom-Up Approach. - -
    -
    -
    From 71bf180dd5d15b1f4af8a622d076364d477a35c8 Mon Sep 17 00:00:00 2001 From: Krishna Kaushik <131583096+kRiShNa-429407@users.noreply.github.com> Date: Thu, 13 Jun 2024 09:24:26 +0530 Subject: [PATCH 070/174] Update PyTorch_Fundamentals.md --- .../machine-learning/PyTorch_Fundamentals.md | 171 +++++++----------- 1 file changed, 64 insertions(+), 107 deletions(-) diff --git a/contrib/machine-learning/PyTorch_Fundamentals.md b/contrib/machine-learning/PyTorch_Fundamentals.md index a504ffc1..3248a084 100644 --- a/contrib/machine-learning/PyTorch_Fundamentals.md +++ b/contrib/machine-learning/PyTorch_Fundamentals.md @@ -5,9 +5,9 @@ # Import pytorch in our codespace import torch print(torch.__version__) -``` - 2.3.0+cu121 +output -> 2.3.0+cu121 +``` 2.3.0 is the pytorch version and 121 is the cuda version @@ -21,27 +21,26 @@ Now you have already seen how to create a tensor in pytorch. In this notebook i # Scalar tensor ( a zero dimension tensor) scalar = torch.tensor(7) print(scalar) -``` - tensor(7) +output -> tensor(7) +``` ```python # Check the dimension of the above tensor print(scalar.ndim) -``` - 0 - +output -> 0 +``` ```python # To retrieve the number from the tensor we use `item()` print(scalar.item()) -``` - 7 +output -> 7 +``` @@ -49,27 +48,25 @@ print(scalar.item()) # Vector (It is a single dimension tensor but contain many numbers) vector = torch.tensor([1,2]) print(vector) -``` - tensor([1, 2]) - +output -> tensor([1, 2]) +``` ```python # Check the dimensions print(vector.ndim) -``` - 1 - +output -> 1 +``` ```python # Check the shape of the vector print(vector.shape) -``` - torch.Size([2]) +output -> torch.Size([2]) +``` The above returns torch.Size([2]) which means our vector has a shape of [2]. This is because of the two elements we placed inside the square brackets ([1,2]) @@ -85,30 +82,27 @@ You can tell the number of dimensions a tensor in PyTorch has by the number of s MATRIX = torch.tensor([[1,2], [4,5]]) print(MATRIX) -``` - tensor([[1, 2], +output -> tensor([[1, 2], [4, 5]]) - +``` There are two brackets so it must be 2 dimensions , lets check ```python print(MATRIX.ndim) -``` - 2 - +output -> 2 +``` ```python # Shape print(MATRIX.shape) -``` - torch.Size([2, 2]) - +output -> torch.Size([2, 2]) +``` It means MATRIX has 2 rows and 2 columns. @@ -119,30 +113,27 @@ TENSOR = torch.tensor([[[1,2,3], [4,5,6], [7,8,9]]]) print(TENSOR) -``` - tensor([[[1, 2, 3], +output -> tensor([[[1, 2, 3], [4, 5, 6], [7, 8, 9]]]) - +``` ```python # Let's check the dimensions print(TENSOR.ndim) -``` - 3 - +output -> 3 +``` ```python # shape? print(TENSOR.shape) -``` - torch.Size([1, 3, 3]) - +output -> torch.Size([1, 3, 3]) +``` The dimensions go outer to inner. @@ -164,39 +155,35 @@ We can create them using `torch.rand()` and passing in the `size` parameter. # creating a random tensor of size (3,4) rand_tensor = torch.rand(size = (3,4)) print(rand_tensor) -``` - tensor([[0.7462, 0.4950, 0.7851, 0.8277], +output -> tensor([[0.7462, 0.4950, 0.7851, 0.8277], [0.6112, 0.5159, 0.1728, 0.6847], [0.4472, 0.1612, 0.6481, 0.3236]]) - +``` ```python # Check the dimensions print(rand_tensor.ndim) -``` - 2 - +output -> 2 +``` ```python # Shape print(rand_tensor.shape) -``` - torch.Size([3, 4]) - +output -> torch.Size([3, 4]) +``` ```python # datatype print(rand_tensor.dtype) -``` - torch.float32 - +output -> torch.float32 +``` ### Zeros and ones @@ -207,24 +194,22 @@ Here we will create a tensor of any shape filled with zeros and ones # Create a tensor of all zeros zeros = torch.zeros(size = (3,4)) print(zeros) -``` - tensor([[0., 0., 0., 0.], +output -> tensor([[0., 0., 0., 0.], [0., 0., 0., 0.], [0., 0., 0., 0.]]) - +``` ```python # create a tensor of ones ones = torch.ones(size = (3,4)) print(ones) -``` - tensor([[1., 1., 1., 1.], +output -> tensor([[1., 1., 1., 1.], [1., 1., 1., 1.], [1., 1., 1., 1.]]) - +``` ### Create a tensor having range of numbers @@ -244,10 +229,9 @@ zero_to_ten = torch.arange(start = 0, end = 10, step = 1) print(zero_to_ten) -``` - tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) - +output -> tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) +``` # 2. Manipulating tensors (tensor operations) @@ -265,10 +249,9 @@ The operations are : ```python tensor = torch.tensor([1,2,3]) print(tensor+10) -``` - tensor([11, 12, 13]) - +output -> tensor([11, 12, 13]) +``` We have add 10 to each tensor element. @@ -276,10 +259,9 @@ We have add 10 to each tensor element. ```python tensor1 = torch.tensor([4,5,6]) print(tensor+tensor1) -``` - tensor([5, 7, 9]) - +output -> tensor([5, 7, 9]) +``` We have added two tensors , remember that addition takes place element wise. @@ -288,20 +270,18 @@ We have added two tensors , remember that addition takes place element wise. ```python print(tensor-8) -``` - tensor([-7, -6, -5]) - +output -> tensor([-7, -6, -5]) +``` We've subtracted 8 from the above tensor. ```python print(tensor-tensor1) -``` - tensor([-3, -3, -3]) - +output -> tensor([-3, -3, -3]) +``` ### 3. Multiplication @@ -309,10 +289,9 @@ print(tensor-tensor1) ```python # Multiply the tensor with 10 (element wise) print(tensor*10) -``` - tensor([10, 20, 30]) - +output -> tensor([10, 20, 30]) +``` Each element of tensor gets multiplied by 10. @@ -324,18 +303,16 @@ PyTorch also has a bunch of built-in functions like `torch.mul()` (short for mul ```python # let's see them print(torch.add(tensor,10)) -``` - tensor([11, 12, 13]) - +output -> tensor([11, 12, 13]) +``` ```python print(torch.mul(tensor,10)) -``` - tensor([10, 20, 30]) - +output -> tensor([10, 20, 30]) +``` ### Matrix multiplication (is all you need) One of the most common operations in machine learning and deep learning algorithms (like neural networks) is matrix multiplication. @@ -366,61 +343,41 @@ tensor2 = torch.tensor([[[1,1,1], [3,3,3]]]) print(tensor1) , print(tensor2) -``` - tensor([[[1, 2, 3], +output1 -> tensor([[[1, 2, 3], [4, 5, 6], [7, 8, 9]]]) - tensor([[[1, 1, 1], +output2 -> tensor([[[1, 1, 1], [2, 2, 2], [3, 3, 3]]]) - - - - - - (None, None) - - - +``` ```python # let's check the shape print(tensor1.shape) , print(tensor2.shape) -``` - - torch.Size([1, 3, 3]) - torch.Size([1, 3, 3]) - - - - - - (None, None) - - +output1 -> torch.Size([1, 3, 3]) +output2 ->torch.Size([1, 3, 3]) +``` ```python # Matrix multiplication print(torch.matmul(tensor1, tensor2)) -``` - tensor([[[14, 14, 14], +output -> tensor([[[14, 14, 14], [32, 32, 32], [50, 50, 50]]]) - +``` ```python # Can also use the "@" symbol for matrix multiplication, though not recommended print(tensor1 @ tensor2) -``` - tensor([[[14, 14, 14], +output -> tensor([[[14, 14, 14], [32, 32, 32], [50, 50, 50]]]) - +``` Note: From 9ac46ea0c122e6ec0d32de20fa5aedf9783fdc0a Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:19:22 +0530 Subject: [PATCH 071/174] Add files via upload --- .../images/Dijkstra's_algorithm photo 1.png | Bin 0 -> 36497 bytes .../images/Dijkstra's_algorithm photo2.png | Bin 0 -> 32050 bytes .../images/Dijkstra's_algorithm photo3.png | Bin 0 -> 29460 bytes .../images/Dijkstra's_algorithm photo4.png | Bin 0 -> 34236 bytes .../images/Dijkstra's_algorithm photo5.png | Bin 0 -> 34352 bytes .../images/Dijkstra's_algorithm photo6.png | Bin 0 -> 27225 bytes .../images/Dijkstra's_algorithm photo7.png | Bin 0 -> 26334 bytes 7 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo 1.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo2.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo3.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo4.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo5.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo6.png create mode 100644 contrib/ds-algorithms/images/Dijkstra's_algorithm photo7.png diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo 1.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm photo 1.png new file mode 100644 index 0000000000000000000000000000000000000000..b937f046e0f4e7c97d3766ffc61c1dd9be2f2414 GIT binary patch literal 36497 zcmeEuUdI2z(-d*wO-i zLv(&8FNIJ#M7a(Af?_VIEQx?n5r=tej0*ma?(j<6836&`1^x?h@dLF70zxd~YZ*y( z4}<+oRM^w5>+Z)oe29TWSf8XE(eWES0v@5iErt>3%}T{fI5K^GmHRdjm60q!)U~}GiDC_c4{~?+iilpU0@$XYLNj6x_zYmLOi0A+PW4AgkrrrO(5{_E?-#3Ul1Lyu- zCk?}-&Gz5*lu#>{`Tx6I;Qzne{~NK3-)0n0O%s4WwZ5kvVK_M1A1|~$4x27l`OGT1 zh@-}nHFTI=b|=|~DAer!%ZxqjerHqO_Gsl#;+t4C$ZXVq z3Aq!S63n0Hm8i^*-sE*2iI}@U^{kQF_iE*+mp+crq~&qj$MfHsbE~$qA^-crqj}kj zS?e-~DSdY$lh2ZR_KnBg#y9)5ad{1tMt4*%T`aD~v+oHv)ym!0tW1=2%m3xJlD_{7 zZxEi?rWmx~i`+0O@<}a7jFgfY?CxUDkEXH0N&N3tzVUGv31=s%8u|Z%AflD%NQrKj!eaWKdu@VxJ z_Tk4xL8^fc|5U<7V6yk+f_rxRtSt$_I60N&82lxCfo?)U@=4uhP0VS*b?Uvc4YFwF zvO;AKl{cY@R8_OCLq^J#s@kf<4i|XPO3DG#a(Q|#qp~4sxI-^@i>Hk$HLk9Q{iq5b zZa2l(lA2rV>>dqrGj?$>5czjgUb%RNYr$*89gT81X`$F$`2NtvlpU*fiygVv#rAlQ z*a9?MUqQiPGt<4BxMybMr}^-fyoMFZ5BH^y0{0i6ori?hYCan{555RthZl-*;)$M` zZ*ptB7Y@_LVX~Se6~kgTGWtf*-XUwxjZ`Y_F!dFss?U-XVx>7HN4;u+K`;@e5@aAmdT4sW9#00x8rVPCI36U1y zF%?J2CwasfVH@n;6mHv!UzWR;?Xeo+(1uFV>CMv}D7-Rf--2c6cjsCmeOHj8!}3e? 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9961a0c9f80160a2b28db22b802b45c77ff22d1f Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:30:27 +0530 Subject: [PATCH 073/174] Rename Dijkstra's_algorithm photo2.png to Dijkstra's_algorithm_photo2.png --- ...m photo2.png => Dijkstra's_algorithm_photo2.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo2.png => Dijkstra's_algorithm_photo2.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo2.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo2.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo2.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo2.png From 3e7e46969390235b3c12fbef8be0522f52dc4155 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:31:20 +0530 Subject: [PATCH 074/174] Rename Dijkstra's_algorithm photo3.png to Dijkstra's_algorithm_photo3.png --- ...m photo3.png => Dijkstra's_algorithm_photo3.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo3.png => Dijkstra's_algorithm_photo3.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo3.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo3.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo3.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo3.png From 77f20e9908d4be3e616e9ccefd4f0e5c9c672648 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:31:43 +0530 Subject: [PATCH 075/174] Rename Dijkstra's_algorithm photo4.png to Dijkstra's_algorithm_photo4.png --- ...m photo4.png => Dijkstra's_algorithm_photo4.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo4.png => Dijkstra's_algorithm_photo4.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo4.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo4.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo4.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo4.png From c32dc12b1a7ea1dd1bcf6e1576f308b01d4e3d56 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:32:03 +0530 Subject: [PATCH 076/174] Rename Dijkstra's_algorithm photo5.png to Dijkstra's_algorithm_photo5.png --- ...m photo5.png => Dijkstra's_algorithm_photo5.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo5.png => Dijkstra's_algorithm_photo5.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo5.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo5.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo5.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo5.png From 01207f441c592d8a00411aa41b89f533458da6ef Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:32:22 +0530 Subject: [PATCH 077/174] Rename Dijkstra's_algorithm photo6.png to Dijkstra's_algorithm_photo6.png --- ...m photo6.png => Dijkstra's_algorithm_photo6.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo6.png => Dijkstra's_algorithm_photo6.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo6.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo6.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo6.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo6.png From d98376b7da3417e9b1b8bb60b00e0e0092c86267 Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:32:40 +0530 Subject: [PATCH 078/174] Rename Dijkstra's_algorithm photo7.png to Dijkstra's_algorithm_photo7.png --- ...m photo7.png => Dijkstra's_algorithm_photo7.png} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/images/{Dijkstra's_algorithm photo7.png => Dijkstra's_algorithm_photo7.png} (100%) diff --git a/contrib/ds-algorithms/images/Dijkstra's_algorithm photo7.png b/contrib/ds-algorithms/images/Dijkstra's_algorithm_photo7.png similarity index 100% rename from contrib/ds-algorithms/images/Dijkstra's_algorithm photo7.png rename to contrib/ds-algorithms/images/Dijkstra's_algorithm_photo7.png From 85ecb2cabcda3c16c72480e6268f1e946d36c76d Mon Sep 17 00:00:00 2001 From: yashasvi232 <154299201+yashasvi232@users.noreply.github.com> Date: Thu, 13 Jun 2024 22:33:49 +0530 Subject: [PATCH 079/174] Update Dijkstra's_algorithm.md --- contrib/ds-algorithms/Dijkstra's_algorithm.md | 16 +++++++++------- 1 file changed, 9 insertions(+), 7 deletions(-) diff --git a/contrib/ds-algorithms/Dijkstra's_algorithm.md b/contrib/ds-algorithms/Dijkstra's_algorithm.md index 18845f6b..cea6da40 100644 --- a/contrib/ds-algorithms/Dijkstra's_algorithm.md +++ b/contrib/ds-algorithms/Dijkstra's_algorithm.md @@ -13,23 +13,25 @@ Dijkstra's algorithm is a graph algorithm that gives the shortest distance of ea ## Dry Run We will now do a manual simulation using an example graph given. First, (0, a) is pushed to the priority queue (pq). -![gssoc photo 1](https://github.com/animator/learn-python/assets/154299201/713cf7dd-fa8a-4f81-829f-00ac33eb12f4) +![Photo 1](images/Dijkstra's_algorithm_photo1.png) + - **Step1:** The lowest element is popped from the pq, which is (0, a), and all its neighboring nodes are added to the pq while simultaneously checking the distance list. Thus (3, b), (7, c), (1, d) are added to the pq. -![gssoc photo2](https://github.com/animator/learn-python/assets/154299201/9456b701-7877-44dc-854b-da416c5e2e9b) +![Photo 2](images/Dijkstra's_algorithm_photo2.png) + - **Step2:** Again, the lowest element is popped from the pq, which is (1, d). It has two neighboring nodes, a and e, from which (0 + 1, a) will not be added to the pq as dist[a] = 0 is less than 1. -![gssoc photo3](https://github.com/animator/learn-python/assets/154299201/83990a40-f3fc-4173-9e21-10eb9e2003cb) +![Photo 3](images/Dijkstra's_algorithm_photo3.png) - **Step3:** Now, the lowest element is popped from the pq, which is (3, b). It has two neighboring nodes, a and c, from which (0 + 1, a) will not be added to the pq. But the new distance to reach c is 5 (3 + 2), which is less than dist[c] = 7. So (5, c) is added to the pq. -![gssoc photo4](https://github.com/animator/learn-python/assets/154299201/b47eb063-8ce7-4e68-85a5-da98f5ac9a3d) +![Photo 4](images/Dijkstra's_algorithm_photo4.png) - **Step4:** The next smallest element is (5, c). It has neighbors a and e. The new distance to reach a will be 5 + 7 = 12, which is more than dist[a], so it will not be considered. Similarly, the new distance for e is 5 + 3 = 8, which again will not be considered. So, no new tuple has been added to the pq. -![gssoc photo5](https://github.com/animator/learn-python/assets/154299201/c0ef3c2a-1938-4c33-9e07-0929e8e5e631) +![Photo 5](images/Dijkstra's_algorithm_photo5.png) - **Step5:** Similarly, both the elements of the pq will be popped one by one without any new addition. -![gssoc photo6](https://github.com/animator/learn-python/assets/154299201/828739c6-413b-41f6-a09f-b702802b20e1) -![gssoc photo7](https://github.com/animator/learn-python/assets/154299201/488d4c7b-d7bf-4887-a9c5-04accc6c6c89) +![Photo 6](images/Dijkstra's_algorithm_photo6.png) +![Photo 7](images/Dijkstra's_algorithm_photo7.png) - The distance list we get at the end will be our answer. - `Output` `dist=[1, 3, 7, 1, 6]` From 848af819957763fa9a3231cd62265e2fb6081057 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 15 Jun 2024 23:34:33 +0530 Subject: [PATCH 080/174] Rename Dijkstra's_algorithm.md to dijkstra.md --- contrib/ds-algorithms/{Dijkstra's_algorithm.md => dijkstra.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/{Dijkstra's_algorithm.md => dijkstra.md} (100%) diff --git a/contrib/ds-algorithms/Dijkstra's_algorithm.md b/contrib/ds-algorithms/dijkstra.md similarity index 100% rename from contrib/ds-algorithms/Dijkstra's_algorithm.md rename to contrib/ds-algorithms/dijkstra.md From fbc528b00bb794b358064b0585cbc1da23bd0d93 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 15 Jun 2024 23:34:50 +0530 Subject: [PATCH 081/174] Update index.md --- contrib/ds-algorithms/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index e1d12ce8..047b3dd7 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -18,4 +18,4 @@ - [Hashing through Chaining](hashing-chaining.md) - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) -- [Dijkstra's Algorithm](Dijkstra's_algorithm.md) \ No newline at end of file +- [Dijkstra's Algorithm](dijkstra.md) From 8be8ae0b6e3ed7eab44655b91ce5790b56d27038 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Tue, 18 Jun 2024 03:15:08 +0530 Subject: [PATCH 082/174] Rename Universal-Functions.md to universal-functions.md --- contrib/numpy/{Universal-Functions.md => universal-functions.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/numpy/{Universal-Functions.md => universal-functions.md} (100%) diff --git a/contrib/numpy/Universal-Functions.md b/contrib/numpy/universal-functions.md similarity index 100% rename from contrib/numpy/Universal-Functions.md rename to contrib/numpy/universal-functions.md From 7f43373d0e9844dbb366e23b559794c3d5301f1f Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Tue, 18 Jun 2024 03:15:29 +0530 Subject: [PATCH 083/174] Update index.md --- contrib/numpy/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 2b0c357e..a61195b8 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,4 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) -- [Universal Functions (Ufunc)](Universal-Functions.md) +- [Universal Functions (Ufunc)](universal-functions.md) From 696714e8422ad323097532659d813451f6076334 Mon Sep 17 00:00:00 2001 From: Ramya Korupolu <104009248+Ramya-korupolu@users.noreply.github.com> Date: Fri, 21 Jun 2024 15:19:29 +0530 Subject: [PATCH 084/174] Create Tree-Traversal.md --- contrib/ds-algorithms/Tree-Traversal.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 contrib/ds-algorithms/Tree-Traversal.md diff --git a/contrib/ds-algorithms/Tree-Traversal.md b/contrib/ds-algorithms/Tree-Traversal.md new file mode 100644 index 00000000..8b137891 --- /dev/null +++ b/contrib/ds-algorithms/Tree-Traversal.md @@ -0,0 +1 @@ + From 2d25b8ea41556a1a9ba66237dceecea0df91053d Mon Sep 17 00:00:00 2001 From: Ramya Korupolu <104009248+Ramya-korupolu@users.noreply.github.com> Date: Fri, 21 Jun 2024 16:33:57 +0530 Subject: [PATCH 085/174] Update Tree-Traversal.md --- contrib/ds-algorithms/Tree-Traversal.md | 181 ++++++++++++++++++++++++ 1 file changed, 181 insertions(+) diff --git a/contrib/ds-algorithms/Tree-Traversal.md b/contrib/ds-algorithms/Tree-Traversal.md index 8b137891..2df72027 100644 --- a/contrib/ds-algorithms/Tree-Traversal.md +++ b/contrib/ds-algorithms/Tree-Traversal.md @@ -1 +1,182 @@ +# Tree Traversal Algorithms +Tree Traversal refers to the process of visiting or accessing each node of the tree exactly once in a certain order. Tree traversal algorithms help us to visit and process all the nodes of the tree. Since tree is not a linear data structure, there are multiple nodes which we can visit after visiting a certain node. There are multiple tree traversal techniques which decide the order in which the nodes of the tree are to be visited. + + +A Tree Data Structure can be traversed in following ways: +- **Level Order Traversal or Breadth First Search or BFS** + - **Depth First Search or DFS** + - Inorder Traversal + - Preorder Traversal + - Postorder Traversal + +## Binary Tree Structure + Before diving into traversal techniques, let's define a simple binary tree node structure: + ```python +class Node: + def __init__(self, key): + self.leftChild = None + self.rightChild = None + self.data = key + +# Main class +if __name__ == "__main__": + root = Node(1) + root.leftChild = Node(2) + root.rightChild = Node(3) + root.leftChild.leftChild = Node(4) + root.leftChild.rightChild = Node(5) + root.rightChild.leftChild = Node(6) + root.rightChild.rightChild = Node(6) +``` + +## Level Order Traversal +When the nodes of the tree are wrapped in a level-wise mode from left to right, then it represents the level order traversal. We can use a queue data structure to execute a level order traversal. + +### Algorithm + - Create an empty queue Q + - Enqueue the root node of the tree to Q + - Loop while Q is not empty + - Dequeue a node from Q and visit it + - Enqueue the left child of the dequeued node if it exists + - Enqueue the right child of the dequeued node if it exists + +### code for level order traversal in python +```python +def printLevelOrder(root): + if root is None: + return + + # Create an empty queue + queue = [] + + # Enqueue Root and initialize height + queue.append(root) + + while(len(queue) > 0): + + # Print front of queue and + # remove it from queue + print(queue[0].data, end=" ") + node = queue.pop(0) + + # Enqueue left child + if node.left is not None: + queue.append(node.left) + + # Enqueue right child + if node.right is not None: + queue.append(node.right) +``` + +**output** + +` Inorder traversal of binary tree is : +1 2 3 4 5 6 7 ` + + + +## Depth First Search +When we do a depth-first traversal, we travel in one direction up to the bottom first, then turn around and go the other way. There are three kinds of depth-first traversals. + +## 1. Inorder Traversal + +In this traversal method, the left subtree is visited first, then the root and later the right sub-tree. We should always remember that every node may represent a subtree itself. + +`Note :` If a binary search tree is traversed in-order, the output will produce sorted key values in an ascending order. + +**The order:** Left -> Root -> Right + +### Algorithm + - Traverse the left subtree. + - Visit the root node. + - Traverse the right subtree. + +### code for inorder traversal in python +```python +def printInorder(root): + if root: + # First recur on left child + printInorder(root.left) + + # Then print the data of node + print(root.val, end=" "), + + # Now recur on right child + printInorder(root.right) +``` + +**output** + +` Inorder traversal of binary tree is : +4 2 5 1 6 3 7 ` + + +## 2. Preorder Traversal + +In this traversal method, the root node is visited first, then the left subtree and finally the right subtree. + +**The order:** Root -> Left -> Right + +### Algorithm + - Visit the root node. + - Traverse the left subtree. + - Traverse the right subtree. + +### code for preorder traversal in python +```python +def printPreorder(root): + if root: + # First print the data of node + print(root.val, end=" "), + + # Then recur on left child + printPreorder(root.left) + + # Finally recur on right child + printPreorder(root.right) +``` + +**output** + +` Inorder traversal of binary tree is : +1 2 4 5 3 6 7 ` + +## 3. Postorder Traversal + +In this traversal method, the root node is visited last, hence the name. First we traverse the left subtree, then the right subtree and finally the root node. + +**The order:** Left -> Right -> Root + +### Algorithm + - Traverse the left subtree. + - Traverse the right subtree. + - Visit the root node. + +### code for postorder traversal in python +```python +def printPostorder(root): + if root: + # First recur on left child + printPostorder(root.left) + + # The recur on right child + printPostorder(root.right) + + # Now print the data of node + print(root.val, end=" ") +``` + +**output** + +` Inorder traversal of binary tree is : +4 5 2 6 7 3 1 ` + + +## Complexity Analysis + - **Time Complexity:** All three tree traversal methods (Inorder, Preorder, and Postorder) have a time complexity of `𝑂(𝑛)`, where 𝑛 is the number of nodes in the tree. + - **Space Complexity:** The space complexity is influenced by the recursion stack. 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b/contrib/ds-algorithms/Tree-Traversal.md @@ -4,14 +4,21 @@ Tree Traversal refers to the process of visiting or accessing each node of the t A Tree Data Structure can be traversed in following ways: -- **Level Order Traversal or Breadth First Search or BFS** + - **Level Order Traversal or Breadth First Search or BFS** - **Depth First Search or DFS** - Inorder Traversal - Preorder Traversal - Postorder Traversal + + ![Tree Traversal](images/traversal.png) + + ## Binary Tree Structure Before diving into traversal techniques, let's define a simple binary tree node structure: + +![Binary Tree](images/binarytree.png) + ```python class Node: def __init__(self, key): @@ -85,6 +92,8 @@ In this traversal method, the left subtree is visited first, then the root and l `Note :` If a binary search tree is traversed in-order, the output will produce sorted key values in an ascending order. +![Inorder](images/inorder-traversal.png) + **The order:** Left -> Root -> Right ### Algorithm @@ -116,6 +125,8 @@ def printInorder(root): In this traversal method, the root node is visited first, then the left subtree and finally the right subtree. +![preorder](images/preorder-traversal.png) + **The order:** Root -> Left -> Right ### Algorithm @@ -146,6 +157,8 @@ def printPreorder(root): In this traversal method, the root node is visited last, hence the name. First we traverse the left subtree, then the right subtree and finally the root node. +![postorder](images/postorder-traversal.png) + **The order:** Left -> Right -> Root ### Algorithm From 86afd64a7bd7c9e265282e095b459f0e64928d6d Mon Sep 17 00:00:00 2001 From: Ramya Korupolu <104009248+Ramya-korupolu@users.noreply.github.com> Date: Fri, 21 Jun 2024 16:59:56 +0530 Subject: [PATCH 090/174] Update index.md --- contrib/ds-algorithms/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 047b3dd7..274c4be9 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -19,3 +19,4 @@ - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) - [Dijkstra's Algorithm](dijkstra.md) +- [Tree Traversals](Tree-Traversal.md) From 8736789d297cd9300ca357668e6903c1dbff1ae4 Mon Sep 17 00:00:00 2001 From: piyush-poddar Date: Sat, 22 Jun 2024 04:36:40 +0530 Subject: [PATCH 091/174] Introduction to Bar Plots in Plotly --- .../images/plotly-bar-colors-basic.png | Bin 0 -> 25977 bytes .../images/plotly-bar-colors.png | Bin 0 -> 24663 bytes .../images/plotly-bar-labels-1.png | Bin 0 -> 26606 bytes .../images/plotly-bar-labels-2.png | Bin 0 -> 27233 bytes .../images/plotly-bar-labels-3.png | Bin 0 -> 26751 bytes .../images/plotly-bar-title.png | Bin 0 -> 23149 bytes .../images/plotly-basic-bar-plot.png | Bin 0 -> 21916 bytes .../images/plotly-horizontal-bar-plot.png | Bin 0 -> 29742 bytes .../images/plotly-long-format-bar-plot.png | Bin 0 -> 22016 bytes .../images/plotly-rounded-bars.png | Bin 0 -> 27343 bytes .../images/plotly-wide-format-bar-plot.png | Bin 0 -> 22469 bytes contrib/plotting-visualization/index.md | 1 + .../plotly-bar-plots.md | 348 ++++++++++++++++++ 13 files changed, 349 insertions(+) create mode 100644 contrib/plotting-visualization/images/plotly-bar-colors-basic.png create mode 100644 contrib/plotting-visualization/images/plotly-bar-colors.png create mode 100644 contrib/plotting-visualization/images/plotly-bar-labels-1.png create mode 100644 contrib/plotting-visualization/images/plotly-bar-labels-2.png create mode 100644 contrib/plotting-visualization/images/plotly-bar-labels-3.png create mode 100644 contrib/plotting-visualization/images/plotly-bar-title.png create mode 100644 contrib/plotting-visualization/images/plotly-basic-bar-plot.png create mode 100644 contrib/plotting-visualization/images/plotly-horizontal-bar-plot.png create mode 100644 contrib/plotting-visualization/images/plotly-long-format-bar-plot.png create mode 100644 contrib/plotting-visualization/images/plotly-rounded-bars.png create mode 100644 contrib/plotting-visualization/images/plotly-wide-format-bar-plot.png create mode 100644 contrib/plotting-visualization/plotly-bar-plots.md diff --git a/contrib/plotting-visualization/images/plotly-bar-colors-basic.png b/contrib/plotting-visualization/images/plotly-bar-colors-basic.png new file mode 100644 index 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b/contrib/plotting-visualization/index.md index 7e43d9b2..33f3a17a 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -8,3 +8,4 @@ - [Scatter Plots in Matplotlib](matplotlib-scatter-plot.md) - [Introduction to Seaborn and Installation](seaborn-intro.md) - [Getting started with Seaborn](seaborn-basics.md) +- [Bar Plots in Plotly](plotly-bar-plots.md) diff --git a/contrib/plotting-visualization/plotly-bar-plots.md b/contrib/plotting-visualization/plotly-bar-plots.md new file mode 100644 index 00000000..5f2159a8 --- /dev/null +++ b/contrib/plotting-visualization/plotly-bar-plots.md @@ -0,0 +1,348 @@ +# Bar Plots in Plotly + +A bar plot or a bar chart is a type of data visualisation that represents data in the form of rectangular bars, with lengths or heights proportional to the values and data which they represent. The bar plots can be plotted both vertically and horizontally. + +It is one of the most widely used type of data visualisation as it is easy to interpret and is pleasing to the eyes. + +Plotly is a very powerful library for creating modern visualizations and it provides a very easy and intuitive method to create highly customized bar plots. + +## Prerequisites + +Before creating bar plots in Plotly you must ensure that you have Python, Plotly and Pandas installed on your system. + +## Introduction + +There are various ways to create bar plots in `plotly`. One of the prominent and easiest one is using `plotly.express`. Plotly Express is the easy-to-use, high-level interface to Plotly, which operates on a variety of types of data and produces easy-to-style figures. On the other hand you can also use `plotly.graph_objects` to create various plots. + +Here, we'll be using `plotly.express` to create the bar plots. Also we'll be converting our datasets into pandas DataFrames which makes it extremely convenient to create plots. + +Also, note that when you execute the codes in a simple python file, the output plot will be shown in your **browser**, rather than a pop-up window like in matplotlib. If you do not want that, it is **recommended to create the plots in a notebook (like jupyter)**. For this, install an additional library `nbformat`. This way you can see the output on the notebook itself, and can also render its format to png, jpg, etc. + +## Creating a simple bar plot using `plotly.express.bar` + +With `plotly.express.bar`, each row of the DataFrame is represented as a rectangular mark. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold') + +# Showing plot +fig.show() +``` +![Basic Bar Plot](images/plotly-basic-bar-plot.png) + +Here, we are first creating the dataset and converting it into Pandas DataFrames using dictionaries, with its keys being DataFrame columns. Next, we are plotting the bar chart by using `px.bar`. In the `x` and `y` parameters, we have to specify a column name in the DataFrame. + +**Note:** When you generate the image using above code, it will show you an **interactive plot**, if you want image, you can download it from their itself. + +## Customizing Bar Plots + +### Adding title to the graph + +Let us create an imaginary graph of number of cars sold in a various years. Simply pass the title of your graph as a parameter in `px.bar`. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years') + +# Showing plot +fig.show() +``` +![Bar Plot Title](images/plotly-bar-title.png) + +### Adding bar colors and legends + +To add different colors to different bars, simply pass the column name of the x-axis or a custom column which groups different bars in `color` parameter. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Years') + +# Showing plot +fig.show() +``` +![Bar Colors Basic](images/plotly-bar-colors-basic.png) + +Now, let us consider our previous example of number of cars sold in various years and suppose that we want to add different colors to the bars from different centuries and respective legends for better interpretation. + +The easiest way to achieve this is to add a new column to the dataframe and then pass it to the `color` parameter. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +# Creating the relevant colors dataset +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Century') + +# Showing plot +fig.show() +``` +![Bar Colors](images/plotly-bar-colors.png) + +### Adding labels to bars + +We may want to add labels to bars representing their absolute (or truncated) values for instant and accurate reading. This can be achieved by setting `text_auto` parameter to `True`. If you want custom text then you can pass a column name to the `text` parameter. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Century', + text_auto=True) + +# Showing plot +fig.show() +``` +![Bar Labels-1](images/plotly-bar-labels-1.png) + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Century', + text='Century') + +# Showing plot +fig.show() +``` +![Bar Labels-2](images/plotly-bar-labels-2.png) + +You can also change the features of text (or any other element of your plot) using `fig.update_traces`. + +Here, we are changing the position of text to position it outside the bars. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Century', + text_auto=True) + +# Updating bar text properties +fig.update_traces(textposition="outside", cliponaxis=False) + +# Showing plot +fig.show() +``` +![Bar Labels-3](images/plotly-bar-labels-3.png) + +### Rounded Bars + +You can create rounded by specifying the radius value to `barcornerradius` in `fig.update_layout`. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Years', y='Number of Cars sold', + title='Number of cars sold in various years', + color='Century', + text_auto=True) + +# Updating bar text properties +fig.update_traces(textposition="outside", cliponaxis=False) + +# Updating figure layout +fig.update_layout({ +'plot_bgcolor': 'rgba(255, 255, 255, 1)', +'paper_bgcolor': 'rgba(255, 255, 255, 1)', +'barcornerradius': 15 +}) + +# Showing plot +fig.show() +``` + +![Rounded Bars](images/plotly-rounded-bars.png) + +## Horizontal Bar Plot + +To create a horizontal bar plot, you just have to interchange your `x` and `y` DataFrame columns. Plotly takes care of the rest! + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] +colors = ['1900s','1900s','2000s','2000s','2000s'] + +# Converting dataset to pandas DataFrame +dataset = {"Years":years, "Number of Cars sold":num_of_cars_sold, "Century":colors} +df = pd.DataFrame(dataset) + +# Creating bar plot +fig = px.bar(df, x='Number of Cars sold', y='Years', + title='Number of cars sold in various years', + color='Century', + text_auto=True) + +# Updating bar text properties +fig.update_traces(textposition="outside", cliponaxis=False) + +# Updating figure layout +fig.update_layout({ +'barcornerradius': 30 +}) + +# Showing plot +fig.show() +``` +![Horizontal Bar Plot](images/plotly-horizontal-bar-plot.png) + +## Plotting Long Format and Wide Format Data + +Long-form data has one row per observation, and one column per variable. This is suitable for storing and displaying multivariate data i.e. with dimension greater than 2. + +```Python +# Plotting long format data + +import plotly.express as px + +# Long format dataset +long_df = px.data.medals_long() + +# Creating Bar Plot +fig = px.bar(long_df, x="nation", y="count", color="medal", title="Long-Form Input") + +# Showing Plot +fig.show() +``` +![Long format bar plot](images/plotly-long-format-bar-plot.png) + +```Python +print(long_df) + +# Output + nation medal count +0 South Korea gold 24 +1 China gold 10 +2 Canada gold 9 +3 South Korea silver 13 +4 China silver 15 +5 Canada silver 12 +6 South Korea bronze 11 +7 China bronze 8 +8 Canada bronze 12 +``` + +Wide-form data has one row per value of one of the first variable, and one column per value of the second variable. This is suitable for storing and displaying 2-dimensional data. + +```Python +# Plotting wide format data +import plotly.express as px + +# Wide format dataset +wide_df = px.data.medals_wide() + +# Creating Bar Plot +fig = px.bar(wide_df, x="nation", y=["gold", "silver", "bronze"], title="Wide-Form Input") + +# Showing Plot +fig.show() +``` +![Wide format bar plot](images/plotly-wide-format-bar-plot.png) + +```Python +print(wide_df) + +# Output + nation gold silver bronze +0 South Korea 24 13 11 +1 China 10 15 8 +2 Canada 9 12 12 \ No newline at end of file From 6822f4238aa09e266d340bab9d82950181721d4f Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 15:44:24 +0530 Subject: [PATCH 092/174] Update binary_tree.md --- contrib/ds-algorithms/binary_tree.md | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/contrib/ds-algorithms/binary_tree.md b/contrib/ds-algorithms/binary_tree.md index 867bca07..03da2cf8 100644 --- a/contrib/ds-algorithms/binary_tree.md +++ b/contrib/ds-algorithms/binary_tree.md @@ -2,7 +2,7 @@ A binary tree is a non-linear data structure in which each node can have atmost two children, known as the left and the right child. It is a heirarchial data structure represented in the following way: -```python +``` A...................Level 0 / \ B C.................Level 1 @@ -25,7 +25,7 @@ A binary tree is a non-linear data structure in which each node can have atmost ## Types Of Binary Trees - **Full Binary Tree:** A binary tree where each node has 0 or 2 children is a full binary tree. -```python +``` A / \ B C @@ -33,7 +33,7 @@ A binary tree is a non-linear data structure in which each node can have atmost D E ``` - **Complete Binary Tree:** A binary tree in which all levels are completely filled except the last level is a complete binary tree. Whenever new nodes are inserted, they are inserted from the left side. -```python +``` A / \ / \ @@ -42,7 +42,7 @@ A binary tree is a non-linear data structure in which each node can have atmost D E F ``` - **Perfect Binary Tree:** A binary tree in which all nodes are completely filled, i.e., each node has two children is called a perfect binary tree. -```python +``` A / \ / \ @@ -51,7 +51,7 @@ A binary tree is a non-linear data structure in which each node can have atmost D E F G ``` - **Skewed Binary Tree:** A binary tree in which each node has either 0 or 1 child is called a skewed binary tree. It is of two types - left skewed binary tree and right skewed binary tree. -```python +``` A A \ / B B @@ -60,7 +60,7 @@ A binary tree is a non-linear data structure in which each node can have atmost Right skewed binary tree Left skewed binary tree ``` - **Balanced Binary Tree:** A binary tree in which the height difference between the left and right subtree is not more than one and the subtrees are also balanced is a balanced binary tree. -```python +``` A / \ B C @@ -218,14 +218,14 @@ b.levelorder(root) root = b.delete_value(root, 20) print("\nLevel order traversal after deletion:", end=" ") b.levelorder(root) +``` +#### OUTPUT -''' -OUTPUT: +``` Preorder traversal: 10 20 40 50 30 60 Inorder traversal: 40 20 50 10 60 30 Postorder traversal: 40 50 20 60 30 10 Level order traversal: 10 20 30 40 50 60 Level order traversal after deletion: 10 60 30 40 50 -''' ``` From 00949d96ec517120f7eac1adc946bc1bd9aeaffa Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 15:44:45 +0530 Subject: [PATCH 093/174] Rename binary_tree.md to binary-tree.md --- contrib/ds-algorithms/{binary_tree.md => binary-tree.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/{binary_tree.md => binary-tree.md} (100%) diff --git a/contrib/ds-algorithms/binary_tree.md b/contrib/ds-algorithms/binary-tree.md similarity index 100% rename from contrib/ds-algorithms/binary_tree.md rename to contrib/ds-algorithms/binary-tree.md From 1c0d60b5d67b9155c473eb65549fd7850d2369dc Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 15:45:35 +0530 Subject: [PATCH 094/174] Update index.md --- contrib/ds-algorithms/index.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index dda67135..f6249d1d 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -16,8 +16,7 @@ - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) - [Hashing through Chaining](hashing-chaining.md) -- [Binary Tree](binary_tree.md) +- [Binary Tree](binary-tree.md) - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) -- [Splay Trees](splay-trees.md) - [Dijkstra's Algorithm](dijkstra.md) From f86cdffb92bec774a65f726d218f6fcc222c8e21 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:02:57 +0530 Subject: [PATCH 095/174] Update index.md --- contrib/plotting-visualization/index.md | 1 - 1 file changed, 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 7a33cc14..67bee6dc 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,4 +1,3 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) - From 4a6f2692cbe50d0e778682edbcd1a795cad1e2f2 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:03:21 +0530 Subject: [PATCH 096/174] Rename SciPy_Graphs.md to scipy-graphs.md --- contrib/scipy/{SciPy_Graphs.md => scipy-graphs.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/scipy/{SciPy_Graphs.md => scipy-graphs.md} (100%) diff --git a/contrib/scipy/SciPy_Graphs.md b/contrib/scipy/scipy-graphs.md similarity index 100% rename from contrib/scipy/SciPy_Graphs.md rename to contrib/scipy/scipy-graphs.md From 915f810b0080d64fb1c651656abe7e3b5b95ad16 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:03:38 +0530 Subject: [PATCH 097/174] Update index.md --- contrib/scipy/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/scipy/index.md b/contrib/scipy/index.md index 4916bfff..5425c4ac 100644 --- a/contrib/scipy/index.md +++ b/contrib/scipy/index.md @@ -1,5 +1,5 @@ # List of sections - [Installation of Scipy and its key uses](installation_features.md) -- [SciPy Graphs](SciPy_Graphs.md) +- [SciPy Graphs](scipy-graphs.md) From eacf86cec5b3a8089f7697339a7b7bb5e475a3a9 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:06:16 +0530 Subject: [PATCH 098/174] Update scipy-graphs.md --- contrib/scipy/scipy-graphs.md | 48 +++++++++++++++++++++++++++-------- 1 file changed, 38 insertions(+), 10 deletions(-) diff --git a/contrib/scipy/scipy-graphs.md b/contrib/scipy/scipy-graphs.md index 747ede73..60bb5659 100644 --- a/contrib/scipy/scipy-graphs.md +++ b/contrib/scipy/scipy-graphs.md @@ -1,9 +1,11 @@ # SciPy Graphs Graphs are also a type of data structure, SciPy provides a module called scipy.sparse.csgraph for working with graphs. + ## Adjacency Matrix An adjacency matrix is a way of representing a graph using a square matrix. In the matrix, the element at the i-th row and j-th column indicates whether there is an edge from vertex i to vertex j. -``` + +```python import numpy as np from scipy.sparse import csr_matrix @@ -19,14 +21,18 @@ sparse_matrix = csr_matrix(adj_matrix) print(sparse_matrix) ``` + In this example: 1. The graph has 4 nodes. 2. is an edge between node 0 and node 1, node 1 and node 2, and node 2 and node 3. 3. The csr_matrix function converts the dense adjacency matrix into a compressed sparse row (CSR) format, which is efficient for storing large, sparse matrices. + ## Floyd Warshall + The Floyd-Warshall algorithm is a classic algorithm used to find the shortest paths between all pairs of nodes in a weighted graph. -``` + +```python import numpy as np from scipy.sparse.csgraph import floyd_warshall from scipy.sparse import csr_matrix @@ -41,7 +47,9 @@ newarr = csr_matrix(arr) print(floyd_warshall(newarr, return_predecessors=True)) ``` -### Output + +#### Output + ``` (array([[0., 1., 2.], [1., 0., 3.], @@ -49,9 +57,12 @@ print(floyd_warshall(newarr, return_predecessors=True)) [ 1, -9999, 0], [ 2, 0, -9999]], dtype=int32)) ``` + ## Dijkstra + Dijkstra's algorithm is used to find the shortest path from a source node to all other nodes in a graph with non-negative edge weights. -``` + +```python import numpy as np from scipy.sparse.csgraph import dijkstra from scipy.sparse import csr_matrix @@ -66,13 +77,18 @@ newarr = csr_matrix(arr) print(dijkstra(newarr, return_predecessors=True, indices=0)) ``` -### Output + +#### Output + ``` (array([ 0., 1., 2.]), array([-9999, 0, 0], dtype=int32)) ``` + ## Bellman Ford + The Bellman-Ford algorithm is used to find the shortest path from a single source vertex to all other vertices in a weighted graph. It can handle graphs with negative weights, and it also detects negative weight cycles. -``` + +```python import numpy as np from scipy.sparse.csgraph import bellman_ford from scipy.sparse import csr_matrix @@ -87,13 +103,18 @@ newarr = csr_matrix(arr) print(bellman_ford(newarr, return_predecessors=True, indices=0)) ``` -### Output + +#### Output + ``` (array([ 0., -1., 2.]), array([-9999, 0, 0], dtype=int32)) ``` + ## Depth First Order + Depth-First Search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root and explores as far as possible along each branch before backtracking. -``` + +```python import numpy as np from scipy.sparse.csgraph import depth_first_order from scipy.sparse import csr_matrix @@ -109,13 +130,18 @@ newarr = csr_matrix(arr) print(depth_first_order(newarr, 1)) ``` -### Output + +#### Output + ``` (array([1, 0, 3, 2], dtype=int32), array([ 1, -9999, 1, 0], dtype=int32)) ``` + ## Breadth First Order + Breadth-First Search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the root present depth level before moving on to nodes at the next depth level. -``` + +```python import numpy as np from scipy.sparse.csgraph import breadth_first_order from scipy.sparse import csr_matrix @@ -131,7 +157,9 @@ newarr = csr_matrix(arr) print(breadth_first_order(newarr, 1)) ``` + ### Output + ``` (array([1, 0, 2, 3], dtype=int32), array([ 1, -9999, 1, 1], dtype=int32)) ``` From 65094669ca29e0b33674d07e4895f99cce9a435f Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:08:45 +0530 Subject: [PATCH 099/174] Update index.md --- contrib/ds-algorithms/index.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index dc3ccf86..0fae2b97 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -16,8 +16,6 @@ - [Two Pointer Technique](two-pointer-technique.md) - [Hashing through Linear Probing](hashing-linear-probing.md) - [Hashing through Chaining](hashing-chaining.md) -- [Heaps in Python](heaps.md) +- [Heaps](heaps.md) - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) -- [Splay Trees](splay-trees.md) -- [Dijkstra's Algorithm](dijkstra.md) \ No newline at end of file From 095ca582058409ca91cd1639e8ccdbb85f252dae Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:09:13 +0530 Subject: [PATCH 100/174] Update index.md --- contrib/ds-algorithms/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 0fae2b97..7f26bc70 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -19,3 +19,4 @@ - [Heaps](heaps.md) - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) +- [Dijkstra's Algorithm](dijkstra.md) From ca64d125b03ed28891de9f62dbbe8c25efc03c73 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:10:55 +0530 Subject: [PATCH 101/174] Update heaps.md --- contrib/ds-algorithms/heaps.md | 21 +++++++++++++-------- 1 file changed, 13 insertions(+), 8 deletions(-) diff --git a/contrib/ds-algorithms/heaps.md b/contrib/ds-algorithms/heaps.md index 396186c7..6a9ba71a 100644 --- a/contrib/ds-algorithms/heaps.md +++ b/contrib/ds-algorithms/heaps.md @@ -1,4 +1,4 @@ -# Heaps in Python3 +# Heaps ## Definition: Heaps are a crucial data structure that support efficient priority queue operations. They come in two main types: min heaps and max heaps. Python's heapq module provides a robust implementation for min heaps, and with some minor adjustments, it can also be used to implement max heaps. @@ -34,14 +34,17 @@ smallest = heapq.heappop(min_heap) print("Smallest element:", smallest) print("Min Heap after pop:", min_heap) ``` + **Output:** - ```python + + ``` Min Heap: [3, 5, 10, 12] Smallest element: 3 Min Heap after pop: [5, 12, 10] ``` - **Max Heap:** To create a max heap, we can store negative values. + ```python import heapq @@ -63,23 +66,25 @@ print("Largest element:", largest) print("Max Heap after pop:", [-x for x in max_heap]) ``` + **Output:** -```python + +``` Max Heap: [12, 10, 3, 5] Largest element: 12 Max Heap after pop: [10, 5, 3] ``` ## Heap Operations: -1. **Push Operation:** Adds an element to the heap, maintaining the heap property.
    +1. **Push Operation:** Adds an element to the heap, maintaining the heap property. ```python heapq.heappush(heap, item) ``` -2. **Pop Operation:** Removes and returns the smallest element from the heap.
    +2. **Pop Operation:** Removes and returns the smallest element from the heap. ```python smallest = heapq.heappop(heap) ``` -3. **Heapify Operation:** Converts a list into a heap in-place.
    +3. **Heapify Operation:** Converts a list into a heap in-place. ```python heapq.heapify(list) ``` @@ -118,7 +123,7 @@ print(heapq.heappop(li)) ``` Output: -```python +``` The created heap is : [1, 3, 15, 77, 90] The modified heap after push is : [1, 3, 4, 15, 77, 90] The popped and smallest element is : 1 @@ -161,4 +166,4 @@ Heaps can be used to efficiently merge multiple sorted lists into a single sorte Heaps are used in event-driven simulators to manage events scheduled to occur at future times. 5. **Median Finding Algorithm:** -Heaps can be used to maintain a dynamic set of numbers to find the median efficiently. \ No newline at end of file +Heaps can be used to maintain a dynamic set of numbers to find the median efficiently. From c8dffec853ce55b690c56d95fd3a008b371c7553 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:17:30 +0530 Subject: [PATCH 102/174] Update polynomial-regression.md --- .../machine-learning/polynomial-regression.md | 26 +++++-------------- 1 file changed, 7 insertions(+), 19 deletions(-) diff --git a/contrib/machine-learning/polynomial-regression.md b/contrib/machine-learning/polynomial-regression.md index 3f1287e0..d00ede3b 100644 --- a/contrib/machine-learning/polynomial-regression.md +++ b/contrib/machine-learning/polynomial-regression.md @@ -1,22 +1,10 @@ # Polynomial Regression -Polynomial Regression is a form of regression analysis in which the relationship between the independent variable \( x \) and the dependent variable \( y \) is modeled as an \( n \)th degree polynomial. This README provides an overview of polynomial regression, including its fundamental concepts, assumptions, and how to implement it using Python. - -## Table of Contents - -1. [Introduction](#introduction) -2. [Concepts](#concepts) -3. [Assumptions](#assumptions) -4. [Implementation](#implementation) - - [Using Scikit-learn](#using-scikit-learn) - - [Code Example](#code-example) -5. [Evaluation Metrics](#evaluation-metrics) -6. [Conclusion](#conclusion) -7. [References](#references) +Polynomial Regression is a form of regression analysis in which the relationship between the independent variable $x$ and the dependent variable $y$ is modeled as an $nth$ degree polynomial. This guide provides an overview of polynomial regression, including its fundamental concepts, assumptions, and how to implement it using Python. ## Introduction -Polynomial Regression is used when the data shows a non-linear relationship between the independent variable \( x \) and the dependent variable \( y \). It extends the simple linear regression model by considering polynomial terms of the independent variable, allowing for a more flexible fit to the data. +Polynomial Regression is used when the data shows a non-linear relationship between the independent variable $x$ and the dependent variable $y$ is modeled as an $nth$ degree polynomial. It extends the simple linear regression model by considering polynomial terms of the independent variable, allowing for a more flexible fit to the data. ## Concepts @@ -29,10 +17,10 @@ $$ $$ Where: -- \( y \) is the dependent variable. -- \( x \) is the independent variable. -- \( \beta_0, \beta_1, \ldots, \beta_n \) are the coefficients of the polynomial. -- \( \epsilon \) is the error term. +- $y$ is the dependent variable. +- $x$ is the independent variable. +- $\beta_0, \beta_1, \ldots, \beta_n$ are the coefficients of the polynomial. +- $\epsilon$ is the error term. ### Degree of Polynomial @@ -111,4 +99,4 @@ Polynomial Regression is a powerful tool for modeling non-linear relationships b ## References - [Scikit-learn Documentation](https://scikit-learn.org/stable/modules/linear_model.html#polynomial-regression) -- [Wikipedia: Polynomial Regression](https://en.wikipedia.org/wiki/Polynomial_reg +- [Wikipedia: Polynomial Regression](https://en.wikipedia.org/wiki/Polynomial_reg) From e6359caf84689a4d6503b78123ca2b15e7551dd7 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:33:01 +0530 Subject: [PATCH 103/174] Rename statistical-operations-on-arrays.md to statistical-functions.md --- ...atistical-operations-on-arrays.md => statistical-functions.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/numpy/{statistical-operations-on-arrays.md => statistical-functions.md} (100%) diff --git a/contrib/numpy/statistical-operations-on-arrays.md b/contrib/numpy/statistical-functions.md similarity index 100% rename from contrib/numpy/statistical-operations-on-arrays.md rename to contrib/numpy/statistical-functions.md From 41e7c65b297279380d1729a0acfee31d3ceb94c6 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 16:33:26 +0530 Subject: [PATCH 104/174] Update index.md --- contrib/numpy/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/numpy/index.md b/contrib/numpy/index.md index 4c3edce3..3f673753 100644 --- a/contrib/numpy/index.md +++ b/contrib/numpy/index.md @@ -11,4 +11,4 @@ - [Sorting NumPy Arrays](sorting-array.md) - [NumPy Array Iteration](array-iteration.md) - [Concatenation of Arrays](concatenation-of-arrays.md) -- [Statistical Operations on Arrays](statistical-operations-on-arrays.md) +- [Statistical Functions on Arrays](statistical-functions.md) From 9286f219d911975deb3323c33ceaad0a74d77d6b Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 17:52:33 +0530 Subject: [PATCH 105/174] Rename asynchronous_context_managers_generators.md to asynchronous-context-managers-generators.md --- ...enerators.md => asynchronous-context-managers-generators.md} | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) rename contrib/advanced-python/{asynchronous_context_managers_generators.md => asynchronous-context-managers-generators.md} (99%) diff --git a/contrib/advanced-python/asynchronous_context_managers_generators.md b/contrib/advanced-python/asynchronous-context-managers-generators.md similarity index 99% rename from contrib/advanced-python/asynchronous_context_managers_generators.md rename to contrib/advanced-python/asynchronous-context-managers-generators.md index a78db28f..00516495 100644 --- a/contrib/advanced-python/asynchronous_context_managers_generators.md +++ b/contrib/advanced-python/asynchronous-context-managers-generators.md @@ -107,4 +107,4 @@ asyncio.run(main()) ### Summary Asynchronous context managers and generators are powerful tools in Python that enhance the efficiency and readability of asynchronous code. By using 'async with' for resource management and 'async for' for iteration, you can write more performant and maintainable asynchronous -programs. \ No newline at end of file +programs. From e51a92e1662cb89006a1e7c4fa7feadeffe5d90f Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 17:52:54 +0530 Subject: [PATCH 106/174] Update index.md --- contrib/advanced-python/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/advanced-python/index.md b/contrib/advanced-python/index.md index a04bb97f..021dd8bd 100644 --- a/contrib/advanced-python/index.md +++ b/contrib/advanced-python/index.md @@ -18,4 +18,4 @@ - [Reduce](reduce-function.md) - [List Comprehension](list-comprehension.md) - [Eval Function](eval_function.md) -- [Asynchronous Context Managers & Generators](asynchronous_context_managers_generators.md) +- [Asynchronous Context Managers & Generators](asynchronous-context-managers-generators.md) From 4916b99a3ad28b1d464894e50b09f9868d640856 Mon Sep 17 00:00:00 2001 From: anamika123 Date: Sat, 22 Jun 2024 18:19:33 +0530 Subject: [PATCH 107/174] Update pandas_series.md --- contrib/pandas/pandas_series.md | 211 +++++++++++++++++--------------- 1 file changed, 113 insertions(+), 98 deletions(-) diff --git a/contrib/pandas/pandas_series.md b/contrib/pandas/pandas_series.md index 8cc12c89..cbb9a0ff 100644 --- a/contrib/pandas/pandas_series.md +++ b/contrib/pandas/pandas_series.md @@ -13,14 +13,14 @@ import pandas as pd s1 = pd.Series([4, 5, 2, 3]) print(s1) - -#Output: -#0 4 -#1 5 -#2 2 -#3 3 -#dtype: int64 - +``` +``` +Output: +0 4 +1 5 +2 2 +3 3 +dtype: int64 ``` ### Series from a Dictionary @@ -31,12 +31,13 @@ import pandas as pd s2 = pd.Series({'A': 1, 'B': 2, 'C': 3}) print(s2) - -#Output: -#A 1 -#B 2 -#C 3 -#dtype: int64 +``` +``` +Output: +A 1 +B 2 +C 3 +dtype: int64 ``` @@ -50,12 +51,13 @@ import pandas as pd s4 = pd.Series([1, 2, 3], index=['a', 'b', 'c'], dtype='float64') print(s4) - -#output -#a 1.0 -#b 2.0 -#c 3.0 -#dtype: float64 +``` +``` +Output: +a 1.0 +b 2.0 +c 3.0 +dtype: float64 ``` ### Specifying NaN Values: @@ -66,13 +68,13 @@ print(s4) import pandas as pd s3=pd.Series([1,np.Nan,2]) print(s3) - -#output: - -#0 1.0 -#1 NaN -#2 2.0 -#dtype: float64 +``` +``` +Output: +0 1.0 +1 NaN +2 2.0 +dtype: float64 ``` @@ -86,15 +88,15 @@ import pandas as pd a=np.arange(1,5) # [1,2,3,4] s5=pd.Series(data=a**2,index=a) print(s5) - -#output: -#1 1 -#2 4 -#3 9 -#4 16 -#dtype: int64 ``` - +``` +Output: +1 1 +2 4 +3 9 +4 16 +dtype: int64 +``` ## Series Object Attributes @@ -123,9 +125,10 @@ import pandas as pd s7 = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) print(s7['A']) - -#output -#13 +``` +``` +Output: +13 ``` @@ -142,12 +145,14 @@ import pandas as pd s = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) print(s[:2]) +``` +``` +Output: +A 13 +B 45 +dtype: int64 -#Output -#A 13 -#B 45 -#dtype: int64 -#This example demonstrates that the first two elements (positions 0 and 1) are returned, regardless of their custom index labels. +This example demonstrates that the first two elements (positions 0 and 1) are returned, regardless of their custom index labels. ``` @@ -165,12 +170,13 @@ s8 = pd.Series([10, 20, 30], index=['a', 'b', 'c']) s8['a'] = 100 s8.index = ['x', 'y', 'z'] print(s8) - -#output -#x 100 -#y 20 -#z 30 -#dtype: int64 +``` +``` +Output: +x 100 +y 20 +z 30 +dtype: int64 ``` **Note: Series object are value-mutable but size immutable objects.** @@ -183,18 +189,21 @@ import pandas as pd s9 = pd.Series([1, 2, 3]) print("addition:", s9 + 5) print("subtraction:", s9 - 2) - -#output: -#addition: -#0 6 -#1 7 -#2 8 -#dtype: int64 -#subtraction: -#0 -1 -#1 0 -#2 1 -#dtype: int64 +``` +``` +output: + +addition: +0 6 +1 7 +2 8 +dtype: int64 + +subtraction: +0 -1 +1 0 +2 1 +dtype: int64 ``` ### Arthmetic on series object @@ -206,18 +215,21 @@ s11 = pd.Series([4, 5, 6]) print("addition:", s10 + s11) print("multiplication:", s10 * s11) - -#output: -#addition: -#0 5 -#1 7 -#2 9 -#dtype: int64 -#multiplication: -#0 4 -#1 10 -#2 18 -#dtype: int64 +``` +``` +output: + +addition: +0 5 +1 7 +2 9 +dtype: int64 + +multiplication: +0 4 +1 10 +2 18 +dtype: int64 ``` Here one thing we should keep in mind that both the series object should have same indexes otherwise it will return NaN value to all the indexes of two series object . @@ -236,17 +248,18 @@ import pandas as pd s12 = pd.Series([10, 20, 30, 40, 50, 60, 70, 80, 90, 100]) print(s12.head(3)) print(s12.tail(3)) - -#output -#0 10 -#1 20 -#2 30 -#dtype: int64 - -#7 80 -#8 90 -#9 100 -#dtype: int64 +``` +``` +Output: +0 10 +1 20 +2 30 +dtype: int64 + +7 80 +8 90 +9 100 +dtype: int64 ``` If you dont provide any value to n the by default it give results for `n=5`. @@ -263,20 +276,22 @@ s13 = pd.Series([3, 1, 2], index=['c', 'a', 'b']) print(s13.sort_values()) print(s13.sort_index()) print(s13.drop('a')) -#Output -#a 1 -#b 2 -#c 3 -#dtype: int64 - -#a 1 -#b 2 -#c 3 -#dtype: int64 - -#c 3 -#b 2 -#dtype: int64 +``` +``` +Output: +a 1 +b 2 +c 3 +dtype: int64 + +a 1 +b 2 +c 3 +dtype: int64 + +c 3 +b 2 +dtype: int64 ``` ## Conclusion From a6bc70dad9f70cfe0e8b66cc42184e63c195a566 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 18:52:17 +0530 Subject: [PATCH 108/174] Update PyTorch_Fundamentals.md --- .../machine-learning/PyTorch_Fundamentals.md | 213 ++++++++++++------ 1 file changed, 149 insertions(+), 64 deletions(-) diff --git a/contrib/machine-learning/PyTorch_Fundamentals.md b/contrib/machine-learning/PyTorch_Fundamentals.md index 3248a084..b244ec1f 100644 --- a/contrib/machine-learning/PyTorch_Fundamentals.md +++ b/contrib/machine-learning/PyTorch_Fundamentals.md @@ -5,8 +5,11 @@ # Import pytorch in our codespace import torch print(torch.__version__) +``` -output -> 2.3.0+cu121 +#### Output +``` +2.3.0+cu121 ``` @@ -16,56 +19,72 @@ Now you have already seen how to create a tensor in pytorch. In this notebook i ### 1. Creating tensors +Scalar tensor ( a zero dimension tensor) ```python -# Scalar tensor ( a zero dimension tensor) scalar = torch.tensor(7) print(scalar) +``` -output -> tensor(7) +#### Output +``` +tensor(7) ``` - +Check the dimension of the above tensor ```python -# Check the dimension of the above tensor print(scalar.ndim) +``` -output -> 0 -``` - +#### Output +``` +0 +``` + +To retrieve the number from the tensor we use `item()` ```python -# To retrieve the number from the tensor we use `item()` print(scalar.item()) +``` -output -> 7 +#### Output +``` +7 ``` - +Vector (It is a single dimension tensor but contain many numbers) ```python -# Vector (It is a single dimension tensor but contain many numbers) vector = torch.tensor([1,2]) print(vector) +``` -output -> tensor([1, 2]) +#### Output +``` +tensor([1, 2]) ``` +Check the dimensions ```python -# Check the dimensions print(vector.ndim) +``` -output -> 1 +#### Output +``` +1 ``` +Check the shape of the vector ```python -# Check the shape of the vector print(vector.shape) +``` -output -> torch.Size([2]) +#### Output +``` +torch.Size([2]) ``` @@ -82,8 +101,11 @@ You can tell the number of dimensions a tensor in PyTorch has by the number of s MATRIX = torch.tensor([[1,2], [4,5]]) print(MATRIX) +``` -output -> tensor([[1, 2], +#### Output +``` +tensor([[1, 2], [4, 5]]) ``` @@ -92,47 +114,60 @@ There are two brackets so it must be 2 dimensions , lets check ```python print(MATRIX.ndim) +``` -output -> 2 +#### Output +``` +2 ``` ```python # Shape print(MATRIX.shape) +``` -output -> torch.Size([2, 2]) +#### Output +``` +torch.Size([2, 2]) ``` It means MATRIX has 2 rows and 2 columns. +Let's create a TENSOR ```python -# Let's create a TENSOR TENSOR = torch.tensor([[[1,2,3], [4,5,6], [7,8,9]]]) print(TENSOR) +``` -output -> tensor([[[1, 2, 3], +#### Output +``` +tensor([[[1, 2, 3], [4, 5, 6], [7, 8, 9]]]) ``` - +Let's check the dimensions ```python -# Let's check the dimensions print(TENSOR.ndim) +``` -output -> 3 +#### Output +``` +3 ``` - +shape ```python -# shape? print(TENSOR.shape) +``` -output -> torch.Size([1, 3, 3]) +#### Output +``` +torch.Size([1, 3, 3]) ``` The dimensions go outer to inner. @@ -150,39 +185,48 @@ That means there's 1 dimension of 3 by 3. We can create them using `torch.rand()` and passing in the `size` parameter. - -```python -# creating a random tensor of size (3,4) +Creating a random tensor of size (3,4) +```python rand_tensor = torch.rand(size = (3,4)) print(rand_tensor) +``` -output -> tensor([[0.7462, 0.4950, 0.7851, 0.8277], +#### Output +``` +tensor([[0.7462, 0.4950, 0.7851, 0.8277], [0.6112, 0.5159, 0.1728, 0.6847], [0.4472, 0.1612, 0.6481, 0.3236]]) ``` +Check the dimensions ```python -# Check the dimensions print(rand_tensor.ndim) +``` -output -> 2 +#### Output +``` +2 ``` - +Shape ```python -# Shape print(rand_tensor.shape) +``` -output -> torch.Size([3, 4]) +#### Output +``` +torch.Size([3, 4]) ``` - +Datatype ```python -# datatype print(rand_tensor.dtype) +``` -output -> torch.float32 +#### Output +``` +torch.float32 ``` ### Zeros and ones @@ -194,19 +238,24 @@ Here we will create a tensor of any shape filled with zeros and ones # Create a tensor of all zeros zeros = torch.zeros(size = (3,4)) print(zeros) +``` -output -> tensor([[0., 0., 0., 0.], +#### Output +``` +tensor([[0., 0., 0., 0.], [0., 0., 0., 0.], [0., 0., 0., 0.]]) ``` - -```python -# create a tensor of ones +Create a tensor of ones +```python ones = torch.ones(size = (3,4)) print(ones) +``` -output -> tensor([[1., 1., 1., 1.], +#### Output +``` +tensor([[1., 1., 1., 1.], [1., 1., 1., 1.], [1., 1., 1., 1.]]) ``` @@ -229,8 +278,11 @@ zero_to_ten = torch.arange(start = 0, end = 10, step = 1) print(zero_to_ten) +``` -output -> tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) +#### Output +``` +tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) ``` # 2. Manipulating tensors (tensor operations) @@ -249,8 +301,11 @@ The operations are : ```python tensor = torch.tensor([1,2,3]) print(tensor+10) +``` -output -> tensor([11, 12, 13]) +#### Output +``` +tensor([11, 12, 13]) ``` We have add 10 to each tensor element. @@ -259,8 +314,11 @@ We have add 10 to each tensor element. ```python tensor1 = torch.tensor([4,5,6]) print(tensor+tensor1) +``` -output -> tensor([5, 7, 9]) +#### Output +``` +tensor([5, 7, 9]) ``` We have added two tensors , remember that addition takes place element wise. @@ -270,8 +328,11 @@ We have added two tensors , remember that addition takes place element wise. ```python print(tensor-8) +``` -output -> tensor([-7, -6, -5]) +#### Output +``` +tensor([-7, -6, -5]) ``` We've subtracted 8 from the above tensor. @@ -279,8 +340,11 @@ We've subtracted 8 from the above tensor. ```python print(tensor-tensor1) +``` -output -> tensor([-3, -3, -3]) +#### Output +``` +tensor([-3, -3, -3]) ``` ### 3. Multiplication @@ -289,8 +353,11 @@ output -> tensor([-3, -3, -3]) ```python # Multiply the tensor with 10 (element wise) print(tensor*10) +``` -output -> tensor([10, 20, 30]) +#### Output +``` +tensor([10, 20, 30]) ``` Each element of tensor gets multiplied by 10. @@ -303,15 +370,21 @@ PyTorch also has a bunch of built-in functions like `torch.mul()` (short for mul ```python # let's see them print(torch.add(tensor,10)) +``` -output -> tensor([11, 12, 13]) +#### Output +``` +tensor([11, 12, 13]) ``` ```python print(torch.mul(tensor,10)) +``` -output -> tensor([10, 20, 30]) +#### Output +``` +tensor([10, 20, 30]) ``` ### Matrix multiplication (is all you need) @@ -344,37 +417,49 @@ tensor2 = torch.tensor([[[1,1,1], print(tensor1) , print(tensor2) -output1 -> tensor([[[1, 2, 3], +``` + +#### Output +``` +tensor([[[1, 2, 3], [4, 5, 6], [7, 8, 9]]]) -output2 -> tensor([[[1, 1, 1], +tensor([[[1, 1, 1], [2, 2, 2], [3, 3, 3]]]) ``` +Let's check the shape ```python -# let's check the shape print(tensor1.shape) , print(tensor2.shape) +``` -output1 -> torch.Size([1, 3, 3]) -output2 ->torch.Size([1, 3, 3]) +#### Output +``` +torch.Size([1, 3, 3]) +torch.Size([1, 3, 3]) ``` -```python - # Matrix multiplication +Matrix multiplication +```python print(torch.matmul(tensor1, tensor2)) +``` -output -> tensor([[[14, 14, 14], +#### Output +``` +tensor([[[14, 14, 14], [32, 32, 32], [50, 50, 50]]]) ``` - +Can also use the "@" symbol for matrix multiplication, though not recommended ```python -# Can also use the "@" symbol for matrix multiplication, though not recommended print(tensor1 @ tensor2) +``` -output -> tensor([[[14, 14, 14], +#### Output +``` +tensor([[[14, 14, 14], [32, 32, 32], [50, 50, 50]]]) ``` From 2770cd082aadcbde21e7bdb94ebdec51d01e9b19 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 18:52:37 +0530 Subject: [PATCH 109/174] Rename PyTorch_Fundamentals.md to pytorch-fundamentals.md --- .../{PyTorch_Fundamentals.md => pytorch-fundamentals.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/machine-learning/{PyTorch_Fundamentals.md => pytorch-fundamentals.md} (100%) diff --git a/contrib/machine-learning/PyTorch_Fundamentals.md b/contrib/machine-learning/pytorch-fundamentals.md similarity index 100% rename from contrib/machine-learning/PyTorch_Fundamentals.md rename to contrib/machine-learning/pytorch-fundamentals.md From d09dd856613fa0c680407db69aa5d763c4113317 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 18:52:59 +0530 Subject: [PATCH 110/174] Update index.md --- contrib/machine-learning/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index b52371a0..df47be87 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -20,4 +20,4 @@ - [Grid Search](grid-search.md) - [Transformers](transformers.md) - [K-nearest neighbor (KNN)](knn.md) -- [PyTorch Fundamentals](PyTorch_Fundamentals.md) +- [PyTorch Fundamentals](pytorch-fundamentals.md) From e1c0e243e2d8c75fa9bb517f018e02ea5695b264 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 19:54:46 +0530 Subject: [PATCH 111/174] Rename SeabornPlotting .md to seaborn-plotting.md --- .../{SeabornPlotting .md => seaborn-plotting.md} | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) rename contrib/plotting-visualization/{SeabornPlotting .md => seaborn-plotting.md} (99%) diff --git a/contrib/plotting-visualization/SeabornPlotting .md b/contrib/plotting-visualization/seaborn-plotting.md similarity index 99% rename from contrib/plotting-visualization/SeabornPlotting .md rename to contrib/plotting-visualization/seaborn-plotting.md index 0e219c49..0a3d0050 100644 --- a/contrib/plotting-visualization/SeabornPlotting .md +++ b/contrib/plotting-visualization/seaborn-plotting.md @@ -235,4 +235,4 @@ plt.show() ``` ![Alt text](/images/plot_images/image16.png) -Seaborn is a versatile library that simplifies the creation of complex visualizations. By using Seaborn's plotting functions, you can create a wide range of statistical graphics with minimal effort. Whether you're working with relational data, categorical data, or distributions, Seaborn provides the tools you need to visualize your data effectively. \ No newline at end of file +Seaborn is a versatile library that simplifies the creation of complex visualizations. By using Seaborn's plotting functions, you can create a wide range of statistical graphics with minimal effort. Whether you're working with relational data, categorical data, or distributions, Seaborn provides the tools you need to visualize your data effectively. From 19ff7fe01a658b887e52fd4504d606236dfa3b1d Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 19:55:05 +0530 Subject: [PATCH 112/174] Update index.md --- contrib/plotting-visualization/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 3286129f..8d5178bd 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -1,4 +1,4 @@ # List of sections - [Installing Matplotlib](matplotlib_installation.md) -- [Seaborn Plotting Functions](SeabornPlotting.md) \ No newline at end of file +- [Seaborn Plotting Functions](seaborn-plotting.md) From 8174be5b37db4f444ca96035b99ec108742ad4bf Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sat, 22 Jun 2024 19:58:15 +0530 Subject: [PATCH 113/174] relocate to correct folder --- .../images/seaborn-plotting}/image1.png | Bin .../images/seaborn-plotting}/image10.png | Bin 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b/contrib/plotting-visualization/seaborn-plotting.md index 0a3d0050..655f625e 100644 --- a/contrib/plotting-visualization/seaborn-plotting.md +++ b/contrib/plotting-visualization/seaborn-plotting.md @@ -1,12 +1,16 @@ -### Seaborn Plotting Functions: +# Seaborn + Seaborn is a powerful and easy-to-use data visualization library in Python built on top of Matplotlib.It provides a high-level interface for drawing attractive and informative statistical graphics.Now we will cover various functions covered by Seaborn, along with examples to illustrate their usage. Seaborn simplifies the process of creating complex visualizations with a few lines of code and it integrates closely with pandas data structure , making it an excellent choice for data analysis and exploration. -### Setting up Seaborn: + +## Setting up Seaborn + Make sure seaborn library is installed in your system. If not use command `pip install seaborn` + After installing you are all set to experiment with plotting functions. -``` +```python #import necessary libraries import seaborn as sns @@ -14,26 +18,29 @@ import matplotlib.pyplot as plt import pandas as pd ``` -Seaborn includes several built-in datasets that you can use for practice +Seaborn includes several built-in datasets that you can use for practice You can list all available datasets using below command -`sns.get_dataset_names()` +```python +sns.get_dataset_names() +``` + Here we are using 'tips' dataset -``` +```python # loading an example dataset tips=sns.load_dataset('tips') ``` Before delving into plotting, make yourself comfortable with the dataset. To do that, use the pandas library to understand what information the dataset contains and preprocess the data. If you get stuck, feel free to refer to the pandas documentation. -### Relational Plots: +## Relational Plots + Relational plots are used to visualize the relationship between two or more variables -##### Scatter Plot: + +### Scatter Plot A scatter plot displays data points based on two numerical variables.Seaborn `scatterplot` function allows you to create scatter plots with ease -##### Line Plot: -A line plot connects data points in the order they appear in the dataset.This is useful for time series data.`lineplot` function allows you to create lineplots. -``` +```python # scatter plot using Seaborn plt.figure(figsize=(5,5)) @@ -41,9 +48,12 @@ sns.scatterplot(data=tips,x='total_bill',y='tip',hue='day',style='time') plt.title('Scatter Plot of Total Bill vs Tip') plt.show() ``` -![Alt text](/images/plot_images/image1.png) +![scatter plot](images/seaborn-plotting/image1.png) -``` +### Line Plot +A line plot connects data points in the order they appear in the dataset.This is useful for time series data.`lineplot` function allows you to create lineplots. + +```python # lineplot using seaborn plt.figure(figsize=(5,5)) @@ -51,20 +61,17 @@ sns.lineplot(data=tips,x='size',y='total_bill',hue='day') plt.title('Line Plot of Total Bill by Size and Day') plt.show() ``` -![Alt text](images/plot_images/image2.png) -### Distribution Plots: +![lineplot](images/seaborn-plotting/image2.png) + +## Distribution Plots + Distribution Plots visualize the distribution of a single numerical variable -##### HistPlot: + +### HistPlot A histplot displays the distribution of a numerical variable by dividing the data into bins. -##### KDE Plot: -A Kernel Density Estimate (KDE) plot represents the distribution of a variable as a smooth curve. -##### ECDF Plot: -An Empirical Cumulative Distribution Function (ECDF) plot shows the proportion of data points below each value. -##### Rug Plot: -A rug plot in Seaborn is a simple way to show the distribution of a variable by drawing small vertical lines (or "rugs") at each data point along the x-axis. -``` +```python # Histplot using Seaborn plt.figure(figsize=(5,5)) @@ -72,9 +79,12 @@ sns.histplot(data=tips, x='total_bill', kde=True) plt.title('Histplot of Total Bill') plt.show() ``` -![Alt text](/images/plot_images/image3.png) +![Histplot](images/seaborn-plotting/image3.png) -``` +### KDE Plot +A Kernel Density Estimate (KDE) plot represents the distribution of a variable as a smooth curve. + +```python # KDE Plot using Seaborn plt.figure(figsize=(5,5)) @@ -82,9 +92,12 @@ sns.kdeplot(data=tips, x='total_bill', hue='sex', fill=True) plt.title('KDE Plot of Total Bill by Sex') plt.show() ``` -![Alt text](/images/plot_images/image4.png) +![KDE](images/seaborn-plotting/image4.png) -``` +### ECDF Plot +An Empirical Cumulative Distribution Function (ECDF) plot shows the proportion of data points below each value. + +```python # ECDF Plot using Seaborn plt.figure(figsize=(5,5)) @@ -92,9 +105,12 @@ sns.ecdfplot(data=tips, x='total_bill', hue='sex') plt.title('ECDF Plot of Total Bill by Sex') plt.show() ``` -![Alt text](/images/plot_images/image5.png) +![ECDF](images/seaborn-plotting/image5.png) -``` +### Rug Plot +A rug plot in Seaborn is a simple way to show the distribution of a variable by drawing small vertical lines (or "rugs") at each data point along the x-axis. + +```python # Rug Plot using Seaborn plt.figure(figsize=(3,3)) @@ -102,30 +118,28 @@ sns.rugplot(x='total_bill', data=tips) plt.title('Rug Plot of Total Bill Amounts') plt.show() ``` -![Alt text](/images/plot_images/image6.png) +![Rug](images/seaborn-plotting/image6.png) - ### Categorical Plots: - Categorical plots are used to visualize data where one or more variables are categorical. - ##### Bar Plot: - A bar plot shows the relationship between a categorical variable and a numerical variable. - ##### Point Plot: - A point plot in Seaborn is used to show the relationship between two categorical variables, with the size of the points representing the values of third variable. - ##### Box Plot: - A box plot displays the distribution of a numerical variable across different categories. - ##### Violin Plot: - A violin plot combines aspects of a box plot and a KDE plot to show the distribution of data +## Categorical Plots +Categorical plots are used to visualize data where one or more variables are categorical. - ``` - # Bar Plot using Seaborn +### Bar Plot + +A bar plot shows the relationship between a categorical variable and a numerical variable. +```python +# Bar Plot using Seaborn plt.figure(figsize=(5,5)) sns.barplot(data=tips,x='day',y='total_bill',hue='sex') plt.title('Bar Plot of Total Bill by Day and Sex') plt.show() ``` -![Alt text](/images/plot_images/image7.png) +![Bar](images/seaborn-plotting/image7.png) -``` +### Point Plot +A point plot in Seaborn is used to show the relationship between two categorical variables, with the size of the points representing the values of third variable. + +```python # Point Plot using Seaborn plt.figure(figsize=(5,5)) @@ -133,9 +147,12 @@ sns.pointplot(x='day',y='total_bill',hue='sex',data=tips) plt.title('Average Total Bill by Day and Sex') plt.show() ``` -![Alt text](/images/plot_images/image8.png) +![Point](images/seaborn-plotting/image8.png) + +### Box Plot +A box plot displays the distribution of a numerical variable across different categories. -``` +```python # Box Plot using Seaborn plt.figure(figsize=(5,5)) @@ -143,9 +160,12 @@ sns.boxplot(data=tips, x='day', y='total_bill', hue='sex') plt.title('Box Plot of Total Bill by Day and Sex') plt.show() ``` -![Alt text](/images/plot_images/image9.png) +![Box](images/seaborn-plotting/image9.png) -``` +### Violin Plot +A violin plot combines aspects of a box plot and a KDE plot to show the distribution of data + +```python # Violin Plot using Seaborn plt.figure(figsize=(5,5)) @@ -153,14 +173,15 @@ sns.violinplot(data=tips,x='day',y='total_bill',hue='sex',split=True) plt.title('Violin Plot of Total Bill by Day and Sex') plt.show() ``` -![Alt text](/images/plot_images/image10.png) +![Violin](images/seaborn-plotting/image10.png) -### Matrix Plots: +## Matrix Plots Matrix plots are useful for visualizing data in a matrix format. -##### Heatmap: + +### Heatmap A heatmap displays data in a matrix where values are represented by color. -``` +```python # Heatmap using Seaborn plt.figure(figsize=(10,8)) @@ -170,12 +191,12 @@ sns.heatmap(flights_pivot, annot=True, fmt='d', cmap='YlGnBu') plt.title('Heatmap of Flight Passengers') plt.show() ``` -![Alt text](/images/plot_images/image11.png) +![Heatmap](images/seaborn-plotting/image11.png) -### Pair Plot: +## Pair Plot A pair plot shows the pairwise relationships between multiple variables in a dataset. -``` +```python #Pairplot using Seaborn plt.figure(figsize=(5,5)) @@ -183,12 +204,12 @@ sns.pairplot(tips, hue='sex') plt.title('Pair Plot of Tips Dataset') plt.show() ``` -![Alt text](/images/plot_images/image12.png) +![Pair](images/seaborn-plotting/image12.png) -### FacetGrid: +## FacetGrid FacetGrid allows you to create a grid of plots based on the values of one or more categorical variables. -``` +```python #Facetgrid using Seaborn plt.figure(figsize=(5,5)) @@ -196,43 +217,43 @@ g = sns.FacetGrid(tips, col='sex', row='time', margin_titles=True) g.map(sns.scatterplot, 'total_bill', 'tip') plt.show() ``` -![Alt text](/images/plot_images/image13.png) +![Facetgrid](images/seaborn-plotting/image13.png) -### Customizing Seaborn Plots: +## Customizing Seaborn Plots Seaborn plots can be customized to improve their appearance and convey more information. -##### Changing the Aesthetic Style: +### Changing the Aesthetic Style Seaborn comes with several built-in themes. -``` +```python sns.set_style('whitegrid') sns.scatterplot(data=tips, x='total_bill', y='tip') plt.title('Scatter Plot with Whitegrid Style') plt.show() ``` -![Alt text](/images/plot_images/image14.png) +![Aesthetic](images/seaborn-plotting/image14.png) -##### Customizing Colors: +### Customizing Colors You can use color palettes to customize the colors in your plots. -``` +```python sns.set_palette('pastel') sns.barplot(data=tips, x='day', y='total_bill', hue='sex') plt.title('Bar Plot with Pastel Palette') plt.show() ``` -![Alt text](/images/plot_images/image15.png) +![Colors](images/seaborn-plotting/image15.png) -##### Adding Titles and Labels: +### Adding Titles and Labels Titles and labels can be added to make plots more informative. -``` +```python plot = sns.scatterplot(data=tips, x='total_bill', y='tip') plot.set_title('Scatter Plot of Total Bill vs Tip') plot.set_xlabel('Total Bill ($)') plot.set_ylabel('Tip ($)') plt.show() ``` -![Alt text](/images/plot_images/image16.png) +![Titles](images/seaborn-plotting/image16.png) Seaborn is a versatile library that simplifies the creation of complex visualizations. By using Seaborn's plotting functions, you can create a wide range of statistical graphics with minimal effort. Whether you're working with relational data, categorical data, or distributions, Seaborn provides the tools you need to visualize your data effectively. From 8ee6007bbfb34dda9d6785dcd041622b4a14201f Mon Sep 17 00:00:00 2001 From: mankalavaishnavi Date: Sat, 22 Jun 2024 21:17:42 +0530 Subject: [PATCH 115/174] added deque and updated index.md --- contrib/ds-algorithms/deque.md | 108 +++++++++++++++++++++++++++++++++ contrib/ds-algorithms/index.md | 1 + 2 files changed, 109 insertions(+) create mode 100644 contrib/ds-algorithms/deque.md diff --git a/contrib/ds-algorithms/deque.md b/contrib/ds-algorithms/deque.md new file mode 100644 index 00000000..459ac04b --- /dev/null +++ b/contrib/ds-algorithms/deque.md @@ -0,0 +1,108 @@ +## Double-Ended Queue (Deque) + +A double-ended queue (deque) supports insertion and deletion from both ends, making it a more versatile queue implementation. + +### Input-Restricted Deque + +In an input-restricted deque, elements can only be inserted from one end while deletions can occur from both ends. + +### Output-Restricted Deque + +An output-restricted deque allows elements to be deleted from one end only, while insertions can be made from both ends. + +## Real Life Examples of Deques + +### Task Scheduling + +Deques are useful in task scheduling algorithms where tasks can be added to either end and processed accordingly based on priority or other scheduling criteria. + +### Sliding Window Problems + +Algorithms solving sliding window problems often use deques to efficiently manage and query elements in the current window. + +### Implementations in Python + +Python provides a built-in `collections.deque` which supports efficient append and pop operations from both ends. It's ideal for scenarios requiring a simple and efficient double-ended queue. + +## Operations on a Deque + +- **isEmpty**: Checks if the deque is empty. +- **appendLeft**: Adds an element to the left end of the deque. +- **appendRight**: Adds an element to the right end of the deque. +- **popLeft**: Removes and returns the element from the left end of the deque. +- **popRight**: Removes and returns the element from the right end of the deque. +- **peekLeft**: Returns the element from the left end without removing it. +- **peekRight**: Returns the element from the right end without removing it. +- **clear**: Removes all elements from the deque. + +## Implementation of Deque in Python + +Python's `collections.deque` provides an efficient implementation of a deque. + +```python +from collections import deque + +# Creating a deque +dq = deque() + +# Adding elements to the deque +dq.append(1) +dq.append(2) +dq.append(3) + +# Removing elements from the deque +dq.popleft() # Removes and returns 1 +dq.pop() # Removes and returns 3 + +# Peeking elements +print("Left end peek:", dq[0]) +print("Right end peek:", dq[-1]) + +# Displaying elements in the deque +print("Deque:", list(dq)) +``` + +## Example: Sliding Window Maximum + +In this example, we'll use a deque to efficiently find the maximum element in sliding windows of a list. + +```python +from collections import deque + +def sliding_window_maximum(nums, k): + if not nums: + return [] + + n = len(nums) + result = [] + dq = deque() + + for i in range(n): + # Remove elements from the deque that are out of the current window + while dq and dq[0] <= i - k: + dq.popleft() + + # Remove elements from the deque that are less than the current element + while dq and nums[dq[-1]] <= nums[i]: + dq.pop() + + # Add the current element index to the deque + dq.append(i) + + # Add the maximum of the current window to the result + if i >= k - 1: + result.append(nums[dq[0]]) + + return result + +# Example usage: +nums = [1, 3, -1, -3, 5, 3, 6, 7] +k = 3 +print("Sliding Window Maximum:", sliding_window_maximum(nums, k)) +``` + +## Conclusion + +Queues and deques are fundamental data structures that facilitate efficient data processing and +management in various applications. Understanding their principles and implementations is crucial +for developing robust software solutions. \ No newline at end of file diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 07fd98a7..b156468f 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -22,3 +22,4 @@ - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) - [Dijkstra's Algorithm](dijkstra.md) +- [Deque](deque.md) \ No newline at end of file From d1a2bd56a3f1c0f4d2ba8e9e891ad26238e7d311 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sat, 22 Jun 2024 22:56:59 +0530 Subject: [PATCH 116/174] Trial --- contrib/machine-learning/reinforcement-learning.md | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 2c227429..47c350b9 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -298,4 +298,13 @@ for i in range(num_rows): ## Conclusion Congratulations on completing your journey through this comprehensive guide to reinforcement learning! Armed with this knowledge, you are well-equipped to dive deeper into the exciting world of RL, whether it's for gaming, robotics, finance, healthcare, or any other domain. Keep exploring, experimenting, and learning, and remember, the only limit to what you can achieve with reinforcement learning is your imagination. -*Happy coding, and may your RL adventures be rewarding!* \ No newline at end of file +*Happy coding, and may your RL adventures be rewarding!* + +\( Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) \) + +where: +- \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). +- \( r \) is the observed reward. +- \( s' \) is the next state. +- \( \alpha \) is the learning rate. +- \( \gamma \) is the discount factor. From 5cf4b9b5cbd88c094427cffff5a4881d3cc48118 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sat, 22 Jun 2024 23:01:52 +0530 Subject: [PATCH 117/174] Trial-2 --- contrib/machine-learning/reinforcement-learning.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 47c350b9..760d5304 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -300,11 +300,11 @@ Congratulations on completing your journey through this comprehensive guide to r *Happy coding, and may your RL adventures be rewarding!* -\( Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) \) +$$ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) $$ where: -- \( Q(s, a) \) is the Q-value of state \( s \) and action \( a \). -- \( r \) is the observed reward. -- \( s' \) is the next state. -- \( \alpha \) is the learning rate. -- \( \gamma \) is the discount factor. +- $Q(s, a)$ is the Q-value of state $s$ and action $a$. +- $r$ is the observed reward. +- $s'$ is the next state. +- $\alpha$ is the learning rate. +- $\gamma$ is the discount factor. From d6f24246c75c1e5f7cfbfa51f8b39db5a2f811a3 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra Date: Sat, 22 Jun 2024 23:05:57 +0530 Subject: [PATCH 118/174] Final Commit --- .../reinforcement-learning.md | 34 +++++++------------ 1 file changed, 13 insertions(+), 21 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 760d5304..fcc26d6c 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -113,13 +113,14 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Choose an action using an exploration strategy (e.g., epsilon-greedy). - Take the action, observe the reward and the next state. - Update the Q-value of the current state-action pair using the Bellman equation: - - where: - - is the Q-value of state and action . - - is the observed reward. - - is the next state. - - is the learning rate. - - is the discount factor. + $$ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) $$ + + where: + - $Q(s, a)$ is the Q-value of state $s$ and action $a$. + - $r$ is the observed reward. + - $s'$ is the next state. + - $\alpha$ is the learning rate. + - $\gamma$ is the discount factor. 3. Until convergence or a maximum number of episodes. ### SARSA @@ -128,13 +129,13 @@ SARSA (State-Action-Reward-State-Action) is an on-policy temporal difference alg #### Algorithm: 1. Initialize Q-values arbitrarily for all state-action pairs. 2. Repeat for each episode: - - Initialize the environment state . - - Choose an action using the current policy (e.g., epsilon-greedy). + - Initialize the environment state $s$. + - Choose an action $a$ using the current policy (e.g., epsilon-greedy). - Repeat for each timestep: - - Take action , observe the reward and the next state . - - Choose the next action using the current policy. + - Take action $a$, observe the reward $r$ and the next state $s'$. + - Choose the next action $a'$ using the current policy. - Update the Q-value of the current state-action pair using the SARSA update rule: - + $$Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma Q(s', a') - Q(s, a) \right)$$ 3. Until convergence or a maximum number of episodes. ### REINFORCE Algorithm: @@ -299,12 +300,3 @@ for i in range(num_rows): Congratulations on completing your journey through this comprehensive guide to reinforcement learning! Armed with this knowledge, you are well-equipped to dive deeper into the exciting world of RL, whether it's for gaming, robotics, finance, healthcare, or any other domain. Keep exploring, experimenting, and learning, and remember, the only limit to what you can achieve with reinforcement learning is your imagination. *Happy coding, and may your RL adventures be rewarding!* - -$$ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) $$ - -where: -- $Q(s, a)$ is the Q-value of state $s$ and action $a$. -- $r$ is the observed reward. -- $s'$ is the next state. -- $\alpha$ is the learning rate. -- $\gamma$ is the discount factor. From 194fc52150204544790c525234ad7f21387c4b59 Mon Sep 17 00:00:00 2001 From: Ojaswi Chopra <99067527+ojaswichopra@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:06:47 +0530 Subject: [PATCH 119/174] Update reinforcement-learning.md --- contrib/machine-learning/reinforcement-learning.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index fcc26d6c..027b6822 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -113,7 +113,7 @@ Q-Learning is a model-free algorithm used in reinforcement learning to learn the - Choose an action using an exploration strategy (e.g., epsilon-greedy). - Take the action, observe the reward and the next state. - Update the Q-value of the current state-action pair using the Bellman equation: - $$ Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right) $$ + $$Q(s, a) \leftarrow Q(s, a) + \alpha \left( r + \gamma \max_{a'} Q(s', a') - Q(s, a) \right)$$ where: - $Q(s, a)$ is the Q-value of state $s$ and action $a$. From 212fbb2f19aa65ae308e989e21b8929f93a4289c Mon Sep 17 00:00:00 2001 From: srilekha279 <158455553+srilekha279@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:16:31 +0530 Subject: [PATCH 120/174] Update index.md I have made changes as mentioned in the issue. --- contrib/machine-learning/index.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index df7a3e58..72ef6092 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -10,8 +10,8 @@ - [Support Vector Machine Algorithm](support-vector-machine.md) - [Artificial Neural Network from the Ground Up](ann.md) - [Introduction To Convolutional Neural Networks (CNNs)](intro-to-cnn.md) -- [TensorFlow.md](tensorflow.md) -- [PyTorch.md](pytorch.md) +- [TensorFlow](tensorflow.md) +- [PyTorch](pytorch.md) - [Ensemble Learning](ensemble-learning.md) - [Types of optimizers](types-of-optimizers.md) - [Logistic Regression](logistic-regression.md) From 5174c9dc1f8f93ab717ea5c0d0bb52176ebeac3f Mon Sep 17 00:00:00 2001 From: Shraman Jain <60072287+Shraman-jain@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:30:23 +0530 Subject: [PATCH 121/174] Update threading.md --- contrib/advanced-python/threading.md | 61 ++++++++++++++++++++++++++++ 1 file changed, 61 insertions(+) diff --git a/contrib/advanced-python/threading.md b/contrib/advanced-python/threading.md index 07bc4bfe..fa315335 100644 --- a/contrib/advanced-python/threading.md +++ b/contrib/advanced-python/threading.md @@ -30,6 +30,10 @@ thread.join() print("Thread has finished execution.") ``` +Output : +``` +Thread has finished execution. +``` **2. Performing Task with Thread:** We can also perform a specific task by thread by giving a function as target and its argument as arg ,as a parameter to Thread object. @@ -53,6 +57,15 @@ thread.join() print("Thread has finished execution.") ``` +Output : +``` +Thread: 0 +Thread: 1 +Thread: 2 +Thread: 3 +Thread: 4 +Thread has finished execution. +``` **3. Delaying a Task with Thread's Timer Function:** We can set a time for which we want a thread to start. Timer function takes 4 arguments (interval,function,args,kwargs). @@ -75,6 +88,16 @@ thread.join() print("Thread has finished execution.") ``` +Output : +``` +# after three second output will be generated +Thread: 0 +Thread: 1 +Thread: 2 +Thread: 3 +Thread: 4 +Thread has finished execution. +``` **4. Creating Multiple Threads** We can create and manage multiple threads to achieve concurrent execution. @@ -100,6 +123,20 @@ thread2.join() print("Both threads have finished execution.") ``` +Output : +``` +Thread 1: 0 +Thread 1: 1 +Thread 2: 0 +Thread 1: 2 +Thread 1: 3 +Thread 2: 1 +Thread 2: 2 +Thread 2: 3 +Thread 2: 4 +Thread 1: 4 +Both threads have finished execution. +``` **5. Thread Synchronization** When we create multiple threads and they access shared resources, there is a risk of race conditions and data corruption. To prevent this, you can use synchronization primitives such as locks. @@ -130,6 +167,30 @@ thread2.join() print("Both threads have finished execution.") ``` +Output : +``` +Thread 1: 0 +Thread 1: 1 +Thread 1: 2 +Thread 1: 3 +Thread 1: 4 +Thread 1: 5 +Thread 1: 6 +Thread 1: 7 +Thread 1: 8 +Thread 1: 9 +Thread 2: 0 +Thread 2: 1 +Thread 2: 2 +Thread 2: 3 +Thread 2: 4 +Thread 2: 5 +Thread 2: 6 +Thread 2: 7 +Thread 2: 8 +Thread 2: 9 +Both threads have finished execution. +``` A ```lock``` object is created using threading.Lock() and The ```with lock``` statement ensures that the lock is acquired before printing and released after printing. This prevents other threads from accessing the print statement simultaneously. 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zsPq8a+|rXtx505J_I@y`E9cS|z>KuU`CzZLF~08|h#0LVZ6e>yG*#DAsQ zKaBT3toIL7|IY^WA4UWH|LrZq!2fIikMO@u^56I$p8rom0s!$)0Puer<{vD~APN76 nLH;oS^8cr2VP*!&|35|`5C8zp|3Ai(e_Mh55BvRx@?ZOZ$>WS_ literal 0 HcmV?d00001 From 995c7c6581a7c44cc81c184876f8d55a901b63fa Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:45:44 +0530 Subject: [PATCH 124/174] Add Xgboost --- contrib/machine-learning/xgboost.md | 96 +++++++++++++++++++++++++++++ 1 file changed, 96 insertions(+) create mode 100644 contrib/machine-learning/xgboost.md diff --git a/contrib/machine-learning/xgboost.md b/contrib/machine-learning/xgboost.md new file mode 100644 index 00000000..f7044638 --- /dev/null +++ b/contrib/machine-learning/xgboost.md @@ -0,0 +1,96 @@ +# XGBoost +XGBoost is an implementation of gradient boosted decision trees designed for speed and performance. +## Introduction to Gradient Boosting +Gradient boosting is a powerful technique for building predictive models that has seen widespread success in various applications. + +- **Boosting Concept**: Boosting originated from the idea of modifying weak learners to improve their predictive capability. +- **AdaBoost**: The first successful boosting algorithm was Adaptive Boosting (AdaBoost), which utilizes decision stumps as weak learners. +- **Gradient Boosting Machines (GBM)**: AdaBoost and related algorithms were later reformulated as Gradient Boosting Machines, casting boosting as a numerical optimization problem. +- **Algorithm Elements**: + - _Loss function_: Determines the objective to minimize (e.g., cross-entropy for classification, mean squared error for regression). + - _Weak learner_: Typically, decision trees are used as weak learners. + - _Additive model_: New weak learners are added iteratively to minimize the loss function, correcting the errors of previous models. +## Introduction to XGBoost +- eXtreme Gradient Boosting (XBGoost): a more **regularized form** of Gradient Boosting, as it uses **advanced regularization (L1&L2)**, improving the model’s **generalization capabilities.** +- It’s suitable when there is **a large number of training samples and a small number of features**; or when there is **a mixture of categorical and numerical features**. + + +- **Development**: Created by Tianqi Chen, XGBoost is designed for computational speed and model performance. +- **Key Features**: + - _Speed_: Achieved through careful engineering, including parallelization of tree construction, distributed computing, and cache optimization. + - _Support for Variations_: XGBoost supports various techniques and optimizations. + - _Out-of-Core Computing_: Can handle very large datasets that don't fit into memory. +- **Advantages**: + - _Sparse Optimization_: Suitable for datasets with many zero values. + - _Regularization_: Implements advanced regularization techniques (L1 and L2), enhancing generalization capabilities. + - _Parallel Training_: Utilizes all CPU cores during training for faster processing. + - _Multiple Loss Functions_: Supports different loss functions based on the problem type. + - _Bagging and Early Stopping_: Additional techniques for improving performance and efficiency. +- **Pre-Sorted Decision Tree Algorithm**: + 1. Features are pre-sorted by their values. + 2. Traversing segmentation points involves finding the best split point on a feature with a cost of O(#data). + 3. Data is split into left and right child nodes after finding the split point. + 4. Pre-sorting allows for accurate split point determination. + - **Limitations**: + + 1. Iterative Traversal: Each iteration requires traversing the entire training data multiple times. + 2. Memory Consumption: Loading the entire training data into memory limits size, while not loading it leads to time-consuming read/write operations. + 3. Space Consumption: Pre-sorting consumes space, storing feature sorting results and split gain calculations. + + XGBoosting:![enter image description here](https://miro.medium.com/v2/resize:fit:1100/format:webp/1*8Y_e29rVdBZ4pC3DFDEZDQ.png) +## Develop Your First XGBoost Model +This code uses the XGBoost library to train a model on the Iris dataset, splitting the data, setting hyperparameters, training the model, making predictions, and evaluating accuracy, achieving an accuracy score of X on the testing set. + + +```python +# XGBoost with Iris Dataset +# Importing necessary libraries +import numpy as np +import xgboost as xgb +from sklearn.datasets import load_iris +from sklearn.model_selection import train_test_split +from sklearn.metrics import accuracy_score + +# Loading a sample dataset (Iris dataset) +data = load_iris() +X = data.data +y = data.target + +# Splitting the dataset into training and testing sets +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42) + +# Converting the dataset into DMatrix format +dtrain = xgb.DMatrix(X_train, label=y_train) +dtest = xgb.DMatrix(X_test, label=y_test) + +# Setting hyperparameters for XGBoost +params = { + 'max_depth': 3, + 'eta': 0.1, + 'objective': 'multi:softmax', + 'num_class': 3 +} + +# Training the XGBoost model +num_round = 50 +model = xgb.train(params, dtrain, num_round) + +# Making predictions on the testing set +y_pred = model.predict(dtest) + +# Evaluating the model +accuracy = accuracy_score(y_test, y_pred) +print("Accuracy:", accuracy) +``` + +### Output + + Accuracy: 1.0 + +## **Conclusion** + +XGBoost's focus on speed, performance, and scalability has made it one of the most widely used and powerful predictive modeling algorithms available. Its ability to handle large datasets efficiently, along with its advanced features and optimizations, makes it a valuable tool in machine learning and data science. + + +## Reference +- [Machine Learning Prediction of Turning Precision Using Optimized XGBoost Model](https://www.mdpi.com/2076-3417/12/15/7739) \ No newline at end of file From bc20d105b779532363b05ce104c5a519742c0cd3 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:49:10 +0530 Subject: [PATCH 125/174] Update xgboost.md --- contrib/machine-learning/xgboost.md | 18 +++++++----------- 1 file changed, 7 insertions(+), 11 deletions(-) diff --git a/contrib/machine-learning/xgboost.md b/contrib/machine-learning/xgboost.md index f7044638..1eb7f09a 100644 --- a/contrib/machine-learning/xgboost.md +++ b/contrib/machine-learning/xgboost.md @@ -1,8 +1,8 @@ # XGBoost XGBoost is an implementation of gradient boosted decision trees designed for speed and performance. + ## Introduction to Gradient Boosting Gradient boosting is a powerful technique for building predictive models that has seen widespread success in various applications. - - **Boosting Concept**: Boosting originated from the idea of modifying weak learners to improve their predictive capability. - **AdaBoost**: The first successful boosting algorithm was Adaptive Boosting (AdaBoost), which utilizes decision stumps as weak learners. - **Gradient Boosting Machines (GBM)**: AdaBoost and related algorithms were later reformulated as Gradient Boosting Machines, casting boosting as a numerical optimization problem. @@ -10,11 +10,10 @@ Gradient boosting is a powerful technique for building predictive models that ha - _Loss function_: Determines the objective to minimize (e.g., cross-entropy for classification, mean squared error for regression). - _Weak learner_: Typically, decision trees are used as weak learners. - _Additive model_: New weak learners are added iteratively to minimize the loss function, correcting the errors of previous models. + ## Introduction to XGBoost - eXtreme Gradient Boosting (XBGoost): a more **regularized form** of Gradient Boosting, as it uses **advanced regularization (L1&L2)**, improving the model’s **generalization capabilities.** - It’s suitable when there is **a large number of training samples and a small number of features**; or when there is **a mixture of categorical and numerical features**. - - - **Development**: Created by Tianqi Chen, XGBoost is designed for computational speed and model performance. - **Key Features**: - _Speed_: Achieved through careful engineering, including parallelization of tree construction, distributed computing, and cache optimization. @@ -32,16 +31,15 @@ Gradient boosting is a powerful technique for building predictive models that ha 3. Data is split into left and right child nodes after finding the split point. 4. Pre-sorting allows for accurate split point determination. - **Limitations**: - 1. Iterative Traversal: Each iteration requires traversing the entire training data multiple times. 2. Memory Consumption: Loading the entire training data into memory limits size, while not loading it leads to time-consuming read/write operations. - 3. Space Consumption: Pre-sorting consumes space, storing feature sorting results and split gain calculations. - - XGBoosting:![enter image description here](https://miro.medium.com/v2/resize:fit:1100/format:webp/1*8Y_e29rVdBZ4pC3DFDEZDQ.png) + 3. Space Consumption: Pre-sorting consumes space, storing feature sorting results and split gain calculations. + XGBoosting: + ![image](assets/XG_1.webp) + ## Develop Your First XGBoost Model This code uses the XGBoost library to train a model on the Iris dataset, splitting the data, setting hyperparameters, training the model, making predictions, and evaluating accuracy, achieving an accuracy score of X on the testing set. - ```python # XGBoost with Iris Dataset # Importing necessary libraries @@ -88,9 +86,7 @@ print("Accuracy:", accuracy) Accuracy: 1.0 ## **Conclusion** - XGBoost's focus on speed, performance, and scalability has made it one of the most widely used and powerful predictive modeling algorithms available. Its ability to handle large datasets efficiently, along with its advanced features and optimizations, makes it a valuable tool in machine learning and data science. - ## Reference -- [Machine Learning Prediction of Turning Precision Using Optimized XGBoost Model](https://www.mdpi.com/2076-3417/12/15/7739) \ No newline at end of file +- [Machine Learning Prediction of Turning Precision Using Optimized XGBoost Model](https://www.mdpi.com/2076-3417/12/15/7739) From da0d7f9beb36e76f3e47ed4025f98d82b13381e0 Mon Sep 17 00:00:00 2001 From: Revanth <109272714+revanth1718@users.noreply.github.com> Date: Sat, 22 Jun 2024 23:50:33 +0530 Subject: [PATCH 126/174] Update index.md --- contrib/machine-learning/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index df7a3e58..caea81e4 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -25,3 +25,4 @@ - [Naive Bayes](naive-bayes.md) - [Neural network regression](neural-network-regression.md) - [PyTorch Fundamentals](pytorch-fundamentals.md) +- [Xgboost](xgboost.md) From 417e3c81a3ab4a2bb286e9f252eddb0b67e512a9 Mon Sep 17 00:00:00 2001 From: Damini2004 Date: Sun, 23 Jun 2024 00:04:05 +0530 Subject: [PATCH 127/174] Commit 1 --- .../advanced-python/regular_expressions.md | 110 +++++++++++++++++- 1 file changed, 106 insertions(+), 4 deletions(-) diff --git a/contrib/advanced-python/regular_expressions.md b/contrib/advanced-python/regular_expressions.md index 65ff2c2b..a8679812 100644 --- a/contrib/advanced-python/regular_expressions.md +++ b/contrib/advanced-python/regular_expressions.md @@ -1,6 +1,7 @@ ## Regular Expressions in Python Regular expressions (regex) are a powerful tool for pattern matching and text manipulation. Python's re module provides comprehensive support for regular expressions, enabling efficient text processing and validation. +Regular expressions (regex) are a versitile tool for matching patterns in strings. In Python, the `re` module provides support for working with regular expressions. ## 1. Introduction to Regular Expressions A regular expression is a sequence of characters defining a search pattern. Common use cases include validating input, searching within text, and extracting @@ -20,7 +21,81 @@ Metacharacters: Special characters like ., *, ?, +, ^, $, [ ], and | used to bui * ?: 0 or 1 repetition. * []: Any one character inside brackets (e.g., [a-z]). * |: Either the pattern before or after. - +* \ : Used to drop the special meaning of character following it +* {} : Indicate the number of occurrences of a preceding regex to match. +* () : Enclose a group of Regex + +Examples: +```bash +1. `.` +import re +pattern = r'c.t' +text = 'cat cot cut cit' +matches = re.findall(pattern, text) +print(matches) # Output: ['cat', 'cot', 'cut', 'cit'] + +2. `^` +pattern = r'^Hello' +text = 'Hello, world!' +match = re.search(pattern, text) +print(match.group() if match else 'No match') # Output: 'Hello' + +3. `$` +pattern = r'world!$' +text = 'Hello, world!' +match = re.search(pattern, text) +print(match.group() if match else 'No match') # Output: 'world!' + +4. `*` +pattern = r'ab*' +text = 'a ab abb abbb' +matches = re.findall(pattern, text) +print(matches) # Output: ['a', 'ab', 'abb', 'abbb'] + +5. `+` +pattern = r'ab+' +text = 'a ab abb abbb' +matches = re.findall(pattern, text) +print(matches) # Output: ['ab', 'abb', 'abbb'] + +6. `?` +pattern = r'ab?' +text = 'a ab abb abbb' +matches = re.findall(pattern, text) +print(matches) # Output: ['a', 'ab', 'ab', 'ab'] + +7. `[]` +pattern = r'[aeiou]' +text = 'hello world' +matches = re.findall(pattern, text) +print(matches) # Output: ['e', 'o', 'o'] + +8. `|` +pattern = r'cat|dog' +text = 'I have a cat and a dog.' +matches = re.findall(pattern, text) +print(matches) # Output: ['cat', 'dog'] + +9. `\`` +pattern = r'\$100' +text = 'The price is $100.' +match = re.search(pattern, text) +print(match.group() if match else 'No match') # Output: '$100' + +10. `{}` +pattern = r'\d{3}' +text = 'My number is 123456' +matches = re.findall(pattern, text) +print(matches) # Output: ['123', '456'] + +11. `()` +pattern = r'(cat|dog)' +text = 'I have a cat and a dog.' +matches = re.findall(pattern, text) +print(matches) # Output: ['cat', 'dog'] + +``` + ## 3. Using the re Module **Key functions in the re module:** @@ -29,7 +104,8 @@ Metacharacters: Special characters like ., *, ?, +, ^, $, [ ], and | used to bui * re.search(): Searches for a match anywhere in the string. * re.findall(): Returns a list of all matches. * re.sub(): Replaces matches with a specified string. - +* re.split(): Returns a list where the string has been split at each match. +* re.escape(): Escapes special character Examples: ```bash import re @@ -45,6 +121,12 @@ print(re.findall(r'\d+', 'abc123def456')) # Output: ['123', '456'] # Substitute matches print(re.sub(r'\d+', '#', 'abc123def456')) # Output: abc#def# + +#Return a list where it get matched +print(re.split("\s", txt)) #['The', 'Donkey', 'in', 'the','Town'] + +# Escape special character +print(re.escape("We are good to go")) #We\ are\ good\ to\ go ``` ## 4. Compiling Regular Expressions @@ -58,6 +140,7 @@ pattern = re.compile(r'\d+') print(pattern.match('123abc').group()) # Output: 123 print(pattern.search('abc123').group()) # Output: 123 print(pattern.findall('abc123def456')) # Output: ['123', '456'] + ``` ## 5. Groups and Capturing @@ -78,19 +161,38 @@ if match: ## 6. Special Sequences Special sequences are shortcuts for common patterns: +* \A:Returns a match if the specified characters are at the beginning of the string. +* \b:Returns a match where the specified characters are at the beginning or at the end of a word. +* \B:Returns a match where the specified characters are present, but NOT at the beginning (or at the end) of a word. * \d: Any digit. * \D: Any non-digit. * \w: Any alphanumeric character. * \W: Any non-alphanumeric character. * \s: Any whitespace character. * \S: Any non-whitespace character. +* \Z:Returns a match if the specified characters are at the end of the string. + Example: ```bash import re print(re.search(r'\w+@\w+\.\w+', 'Contact: support@example.com').group()) # Output: support@example.com ``` +## 7.Sets +A set is a set of characters inside a pair of square brackets [] with a special meaning: + +* [arn] : Returns a match where one of the specified characters (a, r, or n) is present. +* [a-n] : Returns a match for any lower case character, alphabetically between a and n. +* [^arn] : Returns a match for any character EXCEPT a, r, and n. +* [0123] : Returns a match where any of the specified digits (0, 1, 2, or 3) are present. +* [0-9] : Returns a match for any digit between 0 and 9. +* [0-5][0-9] : Returns a match for any two-digit numbers from 00 and 59. +* [a-zA-Z] : Returns a match for any character alphabetically between a and z, lower case OR upper case. +* [+] : In sets, +, *, ., |, (), $,{} has no special meaning, so [+] means: return a match for any + character in the string. ## Summary -Regular expressions are a versatile tool for text processing in Python. The re module offers powerful functions and metacharacters for pattern matching, -searching, and manipulation, making it an essential skill for handling complex text processing tasks. +Regular expressions (regex) are a powerful tool for text processing in Python, offering a flexible way to match, search, and manipulate text patterns. The re module provides a comprehensive set of functions and metacharacters to tackle complex text processing tasks. +With regex, you can: +1.Match patterns: Use metacharacters like ., *, ?, and {} to match specific patterns in text. +2.Search text: Employ functions like re.search() and re.match() to find occurrences of patterns in text. +3.Manipulate text: Utilize functions like re.sub() to replace patterns with new text. 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-17,7 +17,7 @@ A Tree Data Structure can be traversed in following ways: ## Binary Tree Structure Before diving into traversal techniques, let's define a simple binary tree node structure: -![Binary Tree](images/binarytree.png) +![Binary Tree](images/binarytree.png)) ```python class Node: From b6632c6d7fe9f8212a79d846174c3dff9f19b087 Mon Sep 17 00:00:00 2001 From: Ramya Korupolu <104009248+Ramya-korupolu@users.noreply.github.com> Date: Sun, 23 Jun 2024 12:23:02 +0530 Subject: [PATCH 135/174] Add files via upload --- .../ds-algorithms/images/Preorder traversal.png | Bin 0 -> 53953 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 contrib/ds-algorithms/images/Preorder traversal.png diff --git a/contrib/ds-algorithms/images/Preorder traversal.png b/contrib/ds-algorithms/images/Preorder traversal.png new file mode 100644 index 0000000000000000000000000000000000000000..b6f999e385c1b0104adaefe1cc42d5439e4b8210 GIT binary patch literal 53953 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Date: Sun, 23 Jun 2024 12:24:08 +0530 Subject: [PATCH 136/174] Update Tree-Traversal.md --- contrib/ds-algorithms/Tree-Traversal.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/Tree-Traversal.md b/contrib/ds-algorithms/Tree-Traversal.md index cd19515b..1fa6fe57 100644 --- a/contrib/ds-algorithms/Tree-Traversal.md +++ b/contrib/ds-algorithms/Tree-Traversal.md @@ -125,7 +125,7 @@ def printInorder(root): In this traversal method, the root node is visited first, then the left subtree and finally the right subtree. -![preorder](images/preorder-traversal.png) +![preorder](images/Preorder%20traversal.png)) **The order:** Root -> Left -> Right From bd26f9766b8751aa859a04bc4569ebd74049714b Mon Sep 17 00:00:00 2001 From: Ramya Korupolu <104009248+Ramya-korupolu@users.noreply.github.com> Date: Sun, 23 Jun 2024 12:25:01 +0530 Subject: [PATCH 137/174] Delete contrib/ds-algorithms/images/Preorder traversal.png --- .../ds-algorithms/images/Preorder 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Tree-Traversal.md --- contrib/ds-algorithms/Tree-Traversal.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/Tree-Traversal.md b/contrib/ds-algorithms/Tree-Traversal.md index 1fa6fe57..4ec72ee8 100644 --- a/contrib/ds-algorithms/Tree-Traversal.md +++ b/contrib/ds-algorithms/Tree-Traversal.md @@ -125,7 +125,7 @@ def printInorder(root): In this traversal method, the root node is visited first, then the left subtree and finally the right subtree. -![preorder](images/Preorder%20traversal.png)) +![preorder](images/preorder-traversal.png)) **The order:** Root -> Left -> Right From f1c00b3443b3c1b0188d28424581c128c012d256 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sun, 23 Jun 2024 12:50:58 +0530 Subject: [PATCH 140/174] Update and rename pandas_series.md to pandas-series.md --- .../{pandas_series.md => pandas-series.md} | 90 +++++++++++-------- 1 file changed, 54 insertions(+), 36 deletions(-) rename contrib/pandas/{pandas_series.md => pandas-series.md} (91%) diff --git a/contrib/pandas/pandas_series.md b/contrib/pandas/pandas-series.md similarity index 91% rename from contrib/pandas/pandas_series.md rename to contrib/pandas/pandas-series.md index cbb9a0ff..a6fe042f 100644 --- a/contrib/pandas/pandas_series.md +++ b/contrib/pandas/pandas-series.md @@ -1,7 +1,6 @@ # Pandas Series - - A series is a Panda data structures that represents a one dimensional array-like object containing an array of data and an associated array of data type labels, called index. +A series is a Panda data structures that represents a one dimensional array-like object containing an array of data and an associated array of data type labels, called index. ## Creating a Series object: @@ -14,8 +13,9 @@ import pandas as pd s1 = pd.Series([4, 5, 2, 3]) print(s1) ``` + +#### Output ``` -Output: 0 4 1 5 2 2 @@ -32,8 +32,9 @@ import pandas as pd s2 = pd.Series({'A': 1, 'B': 2, 'C': 3}) print(s2) ``` + +#### Output ``` -Output: A 1 B 2 C 3 @@ -52,8 +53,9 @@ import pandas as pd s4 = pd.Series([1, 2, 3], index=['a', 'b', 'c'], dtype='float64') print(s4) ``` + +#### Output ``` -Output: a 1.0 b 2.0 c 3.0 @@ -69,8 +71,9 @@ import pandas as pd s3=pd.Series([1,np.Nan,2]) print(s3) ``` + +#### Output ``` -Output: 0 1.0 1 NaN 2 2.0 @@ -89,8 +92,9 @@ a=np.arange(1,5) # [1,2,3,4] s5=pd.Series(data=a**2,index=a) print(s5) ``` + +#### Output ``` -Output: 1 1 2 4 3 9 @@ -111,8 +115,6 @@ dtype: int64 | `.hasnans` | Return True if there is any NaN in the data | | `.empty` | Return True if the Series object is empty | - - - If you use len() on a series object then it return total number of elements in the series object whereas .count() return only the number of non NaN elements. ## Accessing a Series object and its elements @@ -126,12 +128,12 @@ import pandas as pd s7 = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) print(s7['A']) ``` + +#### Output ``` -Output: 13 ``` - ### Slicing a Series - Slices are extracted based on their positional index, regardless of the custom index labels. @@ -146,15 +148,15 @@ import pandas as pd s = pd.Series(data=[13, 45, 67, 89], index=['A', 'B', 'C', 'D']) print(s[:2]) ``` + +#### Output ``` -Output: A 13 B 45 dtype: int64 - -This example demonstrates that the first two elements (positions 0 and 1) are returned, regardless of their custom index labels. ``` +This example demonstrates that the first two elements (positions 0 and 1) are returned, regardless of their custom index labels. ## Operation on series object @@ -171,8 +173,9 @@ s8['a'] = 100 s8.index = ['x', 'y', 'z'] print(s8) ``` + +#### Output ``` -Output: x 100 y 20 z 30 @@ -181,25 +184,32 @@ dtype: int64 **Note: Series object are value-mutable but size immutable objects.** -### vector operations +### Vector operations We can perform vector operations such as `+`,`-`,`/`,`%` etc. + +#### Addition ```python import pandas as pd s9 = pd.Series([1, 2, 3]) -print("addition:", s9 + 5) -print("subtraction:", s9 - 2) -``` +print(s9 + 5) ``` -output: -addition: +#### Output +``` 0 6 1 7 2 8 dtype: int64 +``` + +#### Subtraction +```python +print(s9 - 2) +``` -subtraction: +#### Output +``` 0 -1 1 0 2 1 @@ -207,25 +217,32 @@ dtype: int64 ``` ### Arthmetic on series object + +#### Addition ```python import pandas as pd s10 = pd.Series([1, 2, 3]) s11 = pd.Series([4, 5, 6]) -print("addition:", s10 + s11) - -print("multiplication:", s10 * s11) +print(s10 + s11) ``` -``` -output: -addition: +#### Output +``` 0 5 1 7 2 9 dtype: int64 +``` + +#### Multiplication + +```python +print("s10 * s11) +``` -multiplication: +#### Output +``` 0 4 1 10 2 18 @@ -249,26 +266,28 @@ s12 = pd.Series([10, 20, 30, 40, 50, 60, 70, 80, 90, 100]) print(s12.head(3)) print(s12.tail(3)) ``` + +#### Output ``` -Output: 0 10 1 20 2 30 dtype: int64 - 7 80 8 90 9 100 dtype: int64 ``` + If you dont provide any value to n the by default it give results for `n=5`. -### Few extra functions: +### Few extra functions | **Function** | **Description** | |----------------------------------------|------------------------------------------------------------------------| | `.sort_values()` | Return the Series object in ascending order based on its values. | | `.sort_index()` | Return the Series object in ascending order based on its index. | | `.sort_drop()` | Return the Series with the deleted index and its corresponding value. | + ```python import pandas as pd @@ -277,22 +296,21 @@ print(s13.sort_values()) print(s13.sort_index()) print(s13.drop('a')) ``` + +#### Output ``` -Output: a 1 b 2 c 3 dtype: int64 - a 1 b 2 c 3 dtype: int64 - c 3 b 2 dtype: int64 ``` ## Conclusion -In short, Pandas Series is a fundamental data structure in Python for handling one-dimensional data. It combines an array of values with an index, offering efficient methods for data manipulation and analysis. With its ease of use and powerful functionality, Pandas Series is widely used in data science and analytics for tasks such as data cleaning, exploration, and visualization. \ No newline at end of file +In short, Pandas Series is a fundamental data structure in Python for handling one-dimensional data. It combines an array of values with an index, offering efficient methods for data manipulation and analysis. With its ease of use and powerful functionality, Pandas Series is widely used in data science and analytics for tasks such as data cleaning, exploration, and visualization. From 372f5ff634d6f4b66aafe0440da2943ef0274724 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sun, 23 Jun 2024 12:51:40 +0530 Subject: [PATCH 141/174] Update index.md --- contrib/pandas/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/pandas/index.md b/contrib/pandas/index.md index 2a159291..db008e2f 100644 --- a/contrib/pandas/index.md +++ b/contrib/pandas/index.md @@ -9,4 +9,4 @@ - [Working with Date & Time in Pandas](datetime.md) - [Importing and Exporting Data in Pandas](import-export.md) - [Handling Missing Values in Pandas](handling-missing-values.md) -- [Pandas Series](pandas_series.md) \ No newline at end of file +- [Pandas Series](pandas-series.md) From 33be2407c8ef074649604f7ea743088195476df1 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Sun, 23 Jun 2024 12:52:35 +0530 Subject: [PATCH 142/174] Update pandas-series.md --- contrib/pandas/pandas-series.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/contrib/pandas/pandas-series.md b/contrib/pandas/pandas-series.md index a6fe042f..88b12351 100644 --- a/contrib/pandas/pandas-series.md +++ b/contrib/pandas/pandas-series.md @@ -256,8 +256,8 @@ Here one thing we should keep in mind that both the series object should have sa | **Functions** | **Description** | |--------------------------|---------------------------------------------------| -| `.head(n)` | return the first n elements of the series | -| `.tail(n)` | return the last n elements of the series | +| `.head(n)` | return the first n elements of the series | +| `.tail(n)` | return the last n elements of the series | ```python import pandas as pd @@ -282,6 +282,7 @@ dtype: int64 If you dont provide any value to n the by default it give results for `n=5`. ### Few extra functions + | **Function** | **Description** | |----------------------------------------|------------------------------------------------------------------------| | `.sort_values()` | Return the Series object in 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It is a combination of a box plot and a kernel density plot, providing a richer visualization of the distribution of the data. In a violin plot, each data point is represented by a kernel density plot, mirrored and joined together to form a symmetrical shape resembling a violin, hence the name. + +Violin plots are particularly useful when comparing distributions across different categories or groups. They provide insights into the shape, spread, and central tendency of the data, allowing for a more comprehensive understanding than traditional box plots. + +Violin plots offer a more detailed distribution representation, combining summary statistics and kernel density plots, handle unequal sample sizes effectively, allow easy comparison across groups, and facilitate identification of multiple modes compared to box plots. + +![Violen plot 1](images/violen-plots1.webp) + +## Prerequisites + +Before creating violin charts in matplotlib you must ensure that you have Python as well as Matplotlib installed on your system. + +## Creating a simple Violin Plot with `violinplot()` method + +A basic violin plot can be created with `violinplot()` method in `matplotlib.pyplot`. + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Creating dataset +data = [np.random.normal(0, std, 100) for std in range(1, 5)] + +# Creating Plot +plt.violinplot(data) + +# Show plot +plt.show() + +``` + +When executed, this would show the following pie chart: + + +![Basic violin plot](images\violinplotnocolor.png) + + +The `Violinplot` function in matplotlib.pyplot creates a violin plot, which is a graphical representation of the distribution of data across different levels of a categorical variable. Here's a breakdown of its usage: + +```Python +plt.violinplot(data, showmeans=False, showextrema=False) +``` + +- `data`: This parameter represents the dataset used to create the violin plot. It can be a single array or a sequence of arrays. + +- `showmeans`: This optional parameter, if set to True, displays the mean value as a point on the violin plot. Default is False. + +- `showextrema`: This optional parameter, if set to True, displays the minimum and maximum values as points on the violin plot. Default is False. + +Additional parameters can be used to further customize the appearance of the violin plot, such as setting custom colors, adding labels, and adjusting the orientation. For instance: + +```Python +plt.violinplot(data, showmedians=True, showmeans=True, showextrema=True, vert=False, widths=0.9, bw_method=0.5) +``` +- showmedians: Setting this parameter to True displays the median value as a line on the violin plot. + +- `vert`: This parameter determines the orientation of the violin plot. Setting it to False creates a horizontal violin plot. Default is True. + +- `widths`: This parameter sets the width of the violins. Default is 0.5. + +- `bw_method`: This parameter determines the method used to calculate the kernel bandwidth for the kernel density estimation. Default is 0.5. + +Using these parameters, you can customize the violin plot according to your requirements, enhancing its readability and visual appeal. + + +## Customizing Violin Plots in Matplotlib + +When customizing violin plots in Matplotlib, using `matplotlib.pyplot.subplots()` provides greater flexibility for applying customizations. + +### Coloring Violin Plots + +You can assign custom colors to the `violins` by passing an array of colors to the color parameter in `violinplot()` method. + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Creating dataset +data = [np.random.normal(0, std, 100) for std in range(1, 5)] +colors = ['tab:red', 'tab:blue', 'tab:green', 'tab:orange'] + +# Creating plot using matplotlib.pyplot.subplots() +fig, ax = plt.subplots() + +# Customizing colors of violins +for i in range(len(data)): + parts = ax.violinplot(data[i], positions=[i], vert=False, showmeans=False, showextrema=False, showmedians=True, widths=0.9, bw_method=0.5) + for pc in parts['bodies']: + pc.set_facecolor(colors[i]) + +# Show plot +plt.show() +``` +This code snippet creates a violin plot with custom colors assigned to each violin, enhancing the visual appeal and clarity of the plot. + + +![Coloring violin](images\violenplotnormal.png) + + +When customizing violin plots using `matplotlib.pyplot.subplots()`, you obtain a `Figure` object `fig` and an `Axes` object `ax`, allowing for extensive customization. Each `violin plot` consists of various components, including the `violin body`, `lines representing median and quartiles`, and `potential markers for mean and outliers`. You can customize these components using the appropriate methods and attributes of the Axes object. + +- Here's an example of how to customize violin plots: + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Creating dataset +data = [np.random.normal(0, std, 100) for std in range(1, 5)] +colors = ['tab:red', 'tab:blue', 'tab:green', 'tab:orange'] + +# Creating plot using matplotlib.pyplot.subplots() +fig, ax = plt.subplots() + +# Creating violin plots +parts = ax.violinplot(data, showmeans=False, showextrema=False, showmedians=True, widths=0.9, bw_method=0.5) + +# Customizing colors of violins +for i, pc in enumerate(parts['bodies']): + pc.set_facecolor(colors[i]) + +# Customizing median lines +for line in parts['cmedians'].get_segments(): + ax.plot(line[:, 0], line[:, 1], color='black') + +# Customizing quartile lines +for line in parts['cmedians'].get_segments(): + ax.plot(line[:, 0], line[:, 1], linestyle='--', color='black', linewidth=2) + +# Adding mean markers +for line in parts['cmedians'].get_segments(): + ax.scatter(np.mean(line[:, 0]), np.mean(line[:, 1]), marker='o', color='black') + +# Customizing axes labels +ax.set_xlabel('X Label') +ax.set_ylabel('Y Label') + +# Adding title +ax.set_title('Customized Violin Plot') + +# Show plot +plt.show() +``` + +![Customizing violin](images/violin-plot4.png) + +In this example, we customize various components of the violin plot, such as colors, line styles, and markers, to enhance its visual appeal and clarity. Additionally, we modify the axes labels and add a title to provide context to the plot. + +### Adding Hatching to Violin Plots + +You can add hatching patterns to the violin plots to enhance their visual distinction. This can be achieved by setting the `hatch` parameter in the `violinplot()` function. + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Creating dataset +data = [np.random.normal(0, std, 100) for std in range(1, 5)] +colors = ['tab:red', 'tab:blue', 'tab:green', 'tab:orange'] +hatches = ['/', '\\', '|', '-'] + +# Creating plot using matplotlib.pyplot.subplots() +fig, ax = plt.subplots() + +# Creating violin plots with hatching +parts = ax.violinplot(data, showmeans=False, showextrema=False, showmedians=True, widths=0.9, bw_method=0.5) + +for i, pc in enumerate(parts['bodies']): + pc.set_facecolor(colors[i]) + pc.set_hatch(hatches[i]) + +# Show plot +plt.show() +``` + +![violin_hatching](images/violin-hatching.png) + + + +### Labeling Violin Plots + +You can add `labels` to violin plots to provide additional information about the data. This can be achieved by setting the label parameter in the `violinplot()` function. + +An example in shown here: + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Creating dataset +data = [np.random.normal(0, std, 100) for std in range(1, 5)] +labels = ['Group {}'.format(i) for i in range(1, 5)] + +# Creating plot using matplotlib.pyplot.subplots() +fig, ax = plt.subplots() + +# Creating violin plots +parts = ax.violinplot(data, showmeans=False, showextrema=False, showmedians=True, widths=0.9, bw_method=0.5) + +# Adding labels to violin plots +for i, label in enumerate(labels): + parts['bodies'][i].set_label(label) + +# Show plot +plt.legend() +plt.show() +``` +![violin_labeling](images/violin-labelling.png) + +In this example, each violin plot is labeled according to its group, providing context to the viewer. +These customizations can be combined and further refined to create violin plots that effectively convey the underlying data distributions. + +### Stacked Violin Plots + +`Stacked violin plots` are useful when you want to compare the distribution of a `single` variable across different categories or groups. In a stacked violin plot, violins for each category or group are `stacked` on top of each other, allowing for easy visual comparison. + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Generating sample data +np.random.seed(0) +data1 = np.random.normal(0, 1, 100) +data2 = np.random.normal(2, 1, 100) +data3 = np.random.normal(1, 1, 100) + +# Creating a stacked violin plot +plt.violinplot([data1, data2, data3], showmedians=True) + +# Adding labels to x-axis ticks +plt.xticks([1, 2, 3], ['Group 1', 'Group 2', 'Group 3']) + +# Adding title and labels +plt.title('Stacked Violin Plot') +plt.xlabel('Groups') +plt.ylabel('Values') + +# Displaying the plot +plt.show() +``` +![stacked violin plots](images/stacked_violin_plots.png) + + +### Split Violin Plots + +`Split violin plots` are effective for comparing the distribution of a `single variable` across `two` different categories or groups. In a split violin plot, each violin is split into two parts representing the distributions of the variable for each category. + +```Python +import matplotlib.pyplot as plt +import numpy as np + +# Generating sample data +np.random.seed(0) +data_male = np.random.normal(0, 1, 100) +data_female = np.random.normal(2, 1, 100) + +# Creating a split violin plot +plt.violinplot([data_male, data_female], showmedians=True) + +# Adding labels to x-axis ticks +plt.xticks([1, 2], ['Male', 'Female']) + +# Adding title and labels +plt.title('Split Violin Plot') +plt.xlabel('Gender') +plt.ylabel('Values') + +# Displaying the plot +plt.show() +``` + +![Shadow](images/split-violin-plot.png) + +In both examples, we use Matplotlib's `violinplot()` function to create the violin plots. These unique features provide additional flexibility and insights when analyzing data distributions across different groups or categories. + From 7c7752dd94a7a4a6584d167bb722c1bf28199650 Mon Sep 17 00:00:00 2001 From: RajKhanke <137288727+RajKhanke@users.noreply.github.com> Date: Sun, 23 Jun 2024 18:37:43 +0530 Subject: [PATCH 145/174] Update matplotlib-violin_plots.md From e4ff080e31f3bebe2e6a776c1d8f92aeea008dff Mon Sep 17 00:00:00 2001 From: RajKhanke <137288727+RajKhanke@users.noreply.github.com> Date: Sun, 23 Jun 2024 18:55:53 +0530 Subject: [PATCH 146/174] Update matplotlib-violin_plots.md --- contrib/plotting-visualization/matplotlib-violin_plots.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/contrib/plotting-visualization/matplotlib-violin_plots.md b/contrib/plotting-visualization/matplotlib-violin_plots.md index bc12f68d..ef2ec42c 100644 --- a/contrib/plotting-visualization/matplotlib-violin_plots.md +++ b/contrib/plotting-visualization/matplotlib-violin_plots.md @@ -34,7 +34,7 @@ plt.show() When executed, this would show the following pie chart: -![Basic violin plot](images\violinplotnocolor.png) +![Basic violin plot](images/violinplotnocolor.png) The `Violinplot` function in matplotlib.pyplot creates a violin plot, which is a graphical representation of the distribution of data across different levels of a categorical variable. Here's a breakdown of its usage: @@ -96,7 +96,7 @@ plt.show() This code snippet creates a violin plot with custom colors assigned to each violin, enhancing the visual appeal and clarity of the plot. -![Coloring violin](images\violenplotnormal.png) +![Coloring violin](images/violenplotnormal.png) When customizing violin plots using `matplotlib.pyplot.subplots()`, you obtain a `Figure` object `fig` and an `Axes` object `ax`, allowing for extensive customization. Each `violin plot` consists of various components, including the `violin body`, `lines representing median and quartiles`, and `potential markers for mean and outliers`. You can customize these components using the appropriate methods and attributes of the Axes object. 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ztT^b(Tp`a8y`9CzKsW`;u;%3%siUwXiU-5M5~oK@&BO&rSU_l@E-2~+rt8CZ0u1l` z1~u9~f~lbeA^L*D<;xMP;Zkh=9o62v&3 z*V$-9e}bRftU|H_$o?Rtc9PX_JWk32vA!nW+;(c+qaeMa0}zFY7WkkBp+hQ|A*y2{ zDLf)!KE*4al}?~pe9v0uMpo>nHA_>(va+1da8`8;hRpLD`!b5{*qO&DvSQw@c1Mdjxq!BS{`#t-GiMe z`H`JVEcV2Aw&V$5LINPy08=m~d3ZMfwcXTNeToY;{V(# zAR}(wC?Eyw)<4%ewA5b0nkr(rhyUE#0D+w3J_P=EodoFqgK;F;Kko-V*&NW3u2qT? xq(6`RZwWZU{f`R&qr(3*;{Q9l0Egjk$KK@`%PTzre$IB~zN*%}%DZNP{|7-@C>Q_$ literal 0 HcmV?d00001 diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 644704b0..02324f22 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -10,3 +10,4 @@ - [Seaborn Plotting Functions](seaborn-plotting.md) - [Getting started with Seaborn](seaborn-basics.md) - [Bar Plots in Plotly](plotly-bar-plots.md) +- [Pie Charts in Plotly](plotly-pie-charts.md) \ No newline at end of file diff --git a/contrib/plotting-visualization/plotly-pie-charts.md b/contrib/plotting-visualization/plotly-pie-charts.md new file mode 100644 index 00000000..2f788096 --- /dev/null +++ b/contrib/plotting-visualization/plotly-pie-charts.md @@ -0,0 +1,221 @@ +# Pie Charts in Plotly + +A pie chart is a type of graph that represents the data in the circular graph. The slices of pie show the relative size of the data, and it is a type of pictorial representation of data. A pie chart requires a list of categorical variables and numerical variables. Here, the term "pie" represents the whole, and the "slices" represent the parts of the whole. + +Pie charts are commonly used in business presentations like sales, operations, survey results, resources, etc. as they are pleasing to the eye and provide a quick summary. + +Plotly is a very powerful library for creating modern visualizations and it provides a very easy and intuitive method to create highly customized pie charts. + +## Prerequisites + +Before creating bar plots in Plotly you must ensure that you have Python, Plotly and Pandas installed on your system. + +## Introduction + +There are various ways to create pie charts in `plotly`. One of the prominent and easiest one is using `plotly.express`. Plotly Express is the easy-to-use, high-level interface to Plotly, which operates on a variety of types of data and produces easy-to-style figures. On the other hand you can also use `plotly.graph_objects` to create various plots. + +Here, we'll be using `plotly.express` to create the pie charts. Also we'll be converting our datasets into pandas DataFrames which makes it extremely convenient and easy to create charts. + +Also, note that when you execute the codes in a simple python file, the output plot will be shown in your **browser**, rather than a pop-up window like in matplotlib. If you do not want that, it is **recommended to create the plots in a notebook (like jupyter)**. For this, install an additional library `nbformat`. This way you can see the output on the notebook itself, and can also render its format to png, jpg, etc. + +## Creating a simple pie chart using `plotly.express.pie` + +In `plotly.express.pie`, data visualized by the sectors of the pie is set in values. The sector labels are set in names. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers') + +# Showing plot +fig.show() +``` +![Basic Pie Chart](images/plotly-basic-pie-chart.png) + +Here, we are first creating the dataset and converting it into Pandas DataFrames using dictionaries, with its keys being DataFrame columns. Next, we are plotting the pie chart by using `px.pie`. In the `values` and `names` parameters, we have to specify a column name in the DataFrame. + +`px.pie(df, values='Petals', names='Flowers')` is used to specify that the pie chart is to be plotted by taking the values from column `Petals` and the fractional area of each slice is represented by **petal/sum(petals)**. The column `flowers` represents the labels of slices corresponding to each value in `petals`. + +**Note:** When you generate the image using above code, it will show you an **interactive plot**, if you want image, you can download it from their itself. + +## Customizing Pie Charts + +### Adding title to the chart + +Simply pass the title of your chart as a parameter in `px.pie`. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers') + +# Showing plot +fig.show() +``` +![Title in Pie Chart](images/plotly-pie-title.png) + +### Coloring Slices + +There are a lot of beautiful color scales available in plotly and can be found here [plotly color scales](https://plotly.com/python/builtin-colorscales/). Choose your favourite colorscale apply it like this: + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers', + color_discrete_sequence=px.colors.sequential.Agsunset) + +# Showing plot +fig.show() +``` +![Pie Chart Colors-1](images/plotly-pie-color-1.png) + +You can also set custom colors for each label by passing it as a dictionary(map) in `color_discrete_map`, like this: + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers', + color='flowers', + color_discrete_map={'Rose':'red', + 'Tulip':'magenta', + 'Marigold':'green', + 'Sunflower':'yellow', + 'Daffodil':'royalblue'}) + +# Showing plot +fig.show() +``` +![Pie Chart Colors-1](images/plotly-pie-color-2.png) + +### Labeling Slices + +You can use `fig.update_traces` to effectively control the properties of text being displayed on your figure, for example if we want both flower name , petal count and percentage in our slices, we can do it like this: + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers') + +# Updating text properties +fig.update_traces(textposition='inside', textinfo='label+value+percent') + +# Showing plot +fig.show() +``` +![Pie Labels](images/plotly-pie-labels.png) + +### Pulling out a slice + +To pull out a slice pass an array to parameter `pull` in `fig.update_traces` corresponding to the slices and amount to be pulled. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers') + +# Updating text properties +fig.update_traces(textposition='inside', textinfo='label+value') + +# Pulling out slice +fig.update_traces(pull=[0,0,0,0.2,0]) + +# Showing plot +fig.show() +``` +![Slice Pull](images/plotly-pie-pull.png) + +### Pattern Fills + +You can also add patterns (hatches), in addition to colors in pie charts. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers') + +# Updating text properties +fig.update_traces(textposition='outside', textinfo='label+value') + +# Adding pattern fills +fig.update_traces(marker=dict(pattern=dict(shape=[".", "/", "+", "-","+"]))) + +# Showing plot +fig.show() +``` +![Pattern Fills Pie Chart](images/plotly-pie-patterns.png) \ No newline at end of file From fd466af7e0544ed31f8fc5d6d0c2529863ec0d32 Mon Sep 17 00:00:00 2001 From: mankalavaishnavi Date: Mon, 24 Jun 2024 13:27:00 +0530 Subject: [PATCH 148/174] added deque --- contrib/ds-algorithms/deque.md | 198 +++++++++++++++++++++------------ 1 file changed, 129 insertions(+), 69 deletions(-) diff --git a/contrib/ds-algorithms/deque.md b/contrib/ds-algorithms/deque.md index 459ac04b..db489a82 100644 --- a/contrib/ds-algorithms/deque.md +++ b/contrib/ds-algorithms/deque.md @@ -1,108 +1,168 @@ -## Double-Ended Queue (Deque) +# Deque in Python -A double-ended queue (deque) supports insertion and deletion from both ends, making it a more versatile queue implementation. +## Definition +A deque, short for double-ended queue, is an ordered collection of items that allows rapid insertion and deletion at both ends. -### Input-Restricted Deque +## Syntax +In Python, deques are implemented in the collections module: -In an input-restricted deque, elements can only be inserted from one end while deletions can occur from both ends. +```py +from collections import deque -### Output-Restricted Deque +# Creating a deque +d = deque(iterable) # Create deque from iterable (optional) +``` -An output-restricted deque allows elements to be deleted from one end only, while insertions can be made from both ends. +## Operations +1. **Appending Elements**: -## Real Life Examples of Deques + - append(x): Adds element x to the right end of the deque. + - appendleft(x): Adds element x to the left end of the deque. -### Task Scheduling +2. **Removing Elements**: -Deques are useful in task scheduling algorithms where tasks can be added to either end and processed accordingly based on priority or other scheduling criteria. + - pop(): Removes and returns the rightmost element. + - popleft(): Removes and returns the leftmost element. -### Sliding Window Problems +3. **Accessing Elements**: -Algorithms solving sliding window problems often use deques to efficiently manage and query elements in the current window. + - deque[index]: Accesses element at index. -### Implementations in Python +4. **Other Operations**: -Python provides a built-in `collections.deque` which supports efficient append and pop operations from both ends. It's ideal for scenarios requiring a simple and efficient double-ended queue. + - extend(iterable): Extends deque by appending elements from iterable. + - extendleft(iterable): Extends deque by appending elements from iterable to the left. + - rotate(n): Rotates deque n steps to the right (negative n rotates left). -## Operations on a Deque +## Example -- **isEmpty**: Checks if the deque is empty. -- **appendLeft**: Adds an element to the left end of the deque. -- **appendRight**: Adds an element to the right end of the deque. -- **popLeft**: Removes and returns the element from the left end of the deque. -- **popRight**: Removes and returns the element from the right end of the deque. -- **peekLeft**: Returns the element from the left end without removing it. -- **peekRight**: Returns the element from the right end without removing it. -- **clear**: Removes all elements from the deque. +### 1. showing all the operations +```py +from collections import deque -## Implementation of Deque in Python +# Initialize a deque +d = deque([1, 2, 3, 4, 5]) +print("Initial deque:", d) -Python's `collections.deque` provides an efficient implementation of a deque. +# Append elements +d.append(6) +print("After append(6):", d) -```python -from collections import deque +# Append left +d.appendleft(0) +print("After appendleft(0):", d) -# Creating a deque -dq = deque() +# Pop from the right end +rightmost = d.pop() +print("Popped from right end:", rightmost) +print("Deque after pop():", d) -# Adding elements to the deque -dq.append(1) -dq.append(2) -dq.append(3) +# Pop from the left end +leftmost = d.popleft() +print("Popped from left end:", leftmost) +print("Deque after popleft():", d) -# Removing elements from the deque -dq.popleft() # Removes and returns 1 -dq.pop() # Removes and returns 3 +# Accessing elements +print("Element at index 2:", d[2]) -# Peeking elements -print("Left end peek:", dq[0]) -print("Right end peek:", dq[-1]) +# Extend deque +d.extend([6, 7, 8]) +print("After extend([6, 7, 8]):", d) -# Displaying elements in the deque -print("Deque:", list(dq)) -``` +# Extend left +d.extendleft([-1, 0]) +print("After extendleft([-1, 0]):", d) -## Example: Sliding Window Maximum +# Rotate deque +d.rotate(2) +print("After rotate(2):", d) -In this example, we'll use a deque to efficiently find the maximum element in sliding windows of a list. +# Rotate left +d.rotate(-3) +print("After rotate(-3):", d) +``` +Output +```py +Initial deque: deque([1, 2, 3, 4, 5]) +After append(6): deque([1, 2, 3, 4, 5, 6]) +After appendleft(0): deque([0, 1, 2, 3, 4, 5, 6]) +Popped from right end: 6 +Deque after pop(): deque([0, 1, 2, 3, 4, 5]) +Popped from left end: 0 +Deque after popleft(): deque([1, 2, 3, 4, 5]) +Element at index 2: 3 +After extend([6, 7, 8]): deque([1, 2, 3, 4, 5, 6, 7, 8]) +After extendleft([-1, 0]): deque([0, -1, 1, 2, 3, 4, 5, 6, 7, 8]) +After rotate(2): deque([7, 8, 0, -1, 1, 2, 3, 4, 5, 6]) +After rotate(-3): deque([1, 2, 3, 4, 5, 6, 7, 8, 0, -1]) + +``` -```python +### 2. Finding Maximum in Sliding Window +```py from collections import deque -def sliding_window_maximum(nums, k): +def max_sliding_window(nums, k): if not nums: return [] - - n = len(nums) + + d = deque() result = [] - dq = deque() - - for i in range(n): - # Remove elements from the deque that are out of the current window - while dq and dq[0] <= i - k: - dq.popleft() - - # Remove elements from the deque that are less than the current element - while dq and nums[dq[-1]] <= nums[i]: - dq.pop() - - # Add the current element index to the deque - dq.append(i) - - # Add the maximum of the current window to the result + + for i, num in enumerate(nums): + # Remove elements from deque that are out of the current window + if d and d[0] <= i - k: + d.popleft() + + # Remove elements from deque smaller than the current element + while d and nums[d[-1]] <= num: + d.pop() + + d.append(i) + + # Add maximum for current window if i >= k - 1: - result.append(nums[dq[0]]) - + result.append(nums[d[0]]) + return result # Example usage: nums = [1, 3, -1, -3, 5, 3, 6, 7] k = 3 -print("Sliding Window Maximum:", sliding_window_maximum(nums, k)) +print("Maximums in sliding window of size", k, "are:", max_sliding_window(nums, k)) + +``` + +Output +```py +Maximums in sliding window of size 3 are: [3, 3, 5, 5, 6, 7] ``` -## Conclusion -Queues and deques are fundamental data structures that facilitate efficient data processing and -management in various applications. Understanding their principles and implementations is crucial -for developing robust software solutions. \ No newline at end of file +## Applications +- **Efficient Queues and Stacks**: Deques allow fast O(1) append and pop operations from both ends, +making them ideal for implementing queues and stacks. +- **Sliding Window Maximum/Minimum**: Used in algorithms that require efficient windowed +computations. + + +## Advantages +- Efficiency: O(1) time complexity for append and pop operations from both ends. +- Versatility: Can function both as a queue and as a stack. +- Flexible: Supports rotation and slicing operations efficiently. + + +## Disadvantages +- Memory Usage: Requires more memory compared to simple lists due to overhead in managing linked +nodes. + +## Conclusion +- Deques in Python, provided by the collections.deque module, offer efficient double-ended queue +operations with O(1) time complexity for append and pop operations on both ends. They are versatile +data structures suitable for implementing queues, stacks, and more complex algorithms requiring +efficient manipulation of elements at both ends. + +- While deques excel in scenarios requiring fast append and pop operations from either end, they do +consume more memory compared to simple lists due to their implementation using doubly-linked lists. +However, their flexibility and efficiency make them invaluable for various programming tasks and +algorithmic solutions. \ No newline at end of file From afec460fbd8b3031d7e1bdcd44389135573b4121 Mon Sep 17 00:00:00 2001 From: Vedant Zope Date: Mon, 24 Jun 2024 21:23:20 +0530 Subject: [PATCH 149/174] Added Cyclic Sort algorithm --- contrib/ds-algorithms/sorting-algorithms.md | 55 +++++++++++++++++++++ 1 file changed, 55 insertions(+) diff --git a/contrib/ds-algorithms/sorting-algorithms.md b/contrib/ds-algorithms/sorting-algorithms.md index 55367b82..a3cd72e2 100644 --- a/contrib/ds-algorithms/sorting-algorithms.md +++ b/contrib/ds-algorithms/sorting-algorithms.md @@ -561,3 +561,58 @@ print("Sorted string:", sorted_str) ### Complexity Analysis - **Time Complexity:** O(n+k) for all cases.No matter how the elements are placed in the array, the algorithm goes through n+k times - **Space Complexity:** O(max). Larger the range of elements, larger is the space complexity. + + +## 9. Cyclic Sort + +### Theory +Cyclic Sort is an in-place sorting algorithm that is useful for sorting arrays where the elements are in a known range (e.g., 1 to N). The key idea behind the algorithm is that each number should be placed at its correct index. If we find a number that is not at its correct index, we swap it with the number at its correct index. This process is repeated until every number is at its correct index. + +### Algorithm +- Iterate over the array from the start to the end. +- For each element, check if it is at its correct index. +- If it is not at its correct index, swap it with the element at its correct index. +- Continue this process until the element at the current index is in its correct position. Move to the next index and repeat the process until the end of the array is reached. + +### Steps +- Start with the first element. +- Check if it is at the correct index (i.e., if arr[i] == i + 1). +- If it is not, swap it with the element at the index arr[i] - 1. +- Repeat step 2 for the current element until it is at the correct index. +- Move to the next element and repeat the process. + +### Code + +```python +def cyclic_sort(nums): + i = 0 + while i < len(nums): + correct_index = nums[i] - 1 + if nums[i] != nums[correct_index]: + nums[i], nums[correct_index] = nums[correct_index], nums[i] # Swap + else: + i += 1 + return nums +``` + +### Example +``` +arr = [3, 1, 5, 4, 2] +sorted_arr = cyclic_sort(arr) +print(sorted_arr) + ``` +### Output +``` +[1, 2, 3, 4, 5] +``` + +### Complexity Analysis +**Time Complexity:** + +The time complexity of Cyclic Sort is **O(n)**. +This is because in each cycle, each element is either placed in its correct position or a swap is made. Since each element is swapped at most once, the total number of swaps (and hence the total number of operations) is linear in the number of elements. + +**Space Complexity:** + +The space complexity of Cyclic Sort is **O(1)**. +This is because the algorithm only requires a constant amount of additional space beyond the input array. \ No newline at end of file From 7b123e505fad404a79ac3a000850d241101529ad Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Tue, 25 Jun 2024 04:18:43 +0530 Subject: [PATCH 150/174] Update CONTRIBUTING.md --- CONTRIBUTING.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 86880091..0a046b41 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -23,7 +23,7 @@ The list of topics for which we are looking for content are provided below along - Interacting with Databases - [Link](https://github.com/animator/learn-python/tree/main/contrib/database) - Web Scrapping - [Link](https://github.com/animator/learn-python/tree/main/contrib/web-scrapping) - API Development - [Link](https://github.com/animator/learn-python/tree/main/contrib/api-development) -- Data Structures & Algorithms - [Link](https://github.com/animator/learn-python/tree/main/contrib/ds-algorithms) +- Data Structures & Algorithms - [Link](https://github.com/animator/learn-python/tree/main/contrib/ds-algorithms) **(Not accepting)** - Python Mini Projects - [Link](https://github.com/animator/learn-python/tree/main/contrib/mini-projects) **(Not accepting)** - Python Question Bank - [Link](https://github.com/animator/learn-python/tree/main/contrib/question-bank) **(Not accepting)** From bd2635bc6e2106c36e94f868f40b0e0114471fe9 Mon Sep 17 00:00:00 2001 From: StutiTiwari <116055334+s-tuti@users.noreply.github.com> Date: Tue, 25 Jun 2024 19:40:46 +0530 Subject: [PATCH 151/174] Update dynamic-programming.md --- contrib/ds-algorithms/dynamic-programming.md | 189 +++++++++++++++++++ 1 file changed, 189 insertions(+) diff --git a/contrib/ds-algorithms/dynamic-programming.md b/contrib/ds-algorithms/dynamic-programming.md index 0f16d5c9..986ecd37 100644 --- a/contrib/ds-algorithms/dynamic-programming.md +++ b/contrib/ds-algorithms/dynamic-programming.md @@ -234,3 +234,192 @@ print("Length of lis is", lis(arr)) ## Complexity Analysis - **Time Complexity**: O(n * n) for both approaches, where n is the length of the array. - **Space Complexity**: O(n * n) for the memoization table in Top-Down Approach, O(n) in Bottom-Up Approach. + +# 5. String Edit Distance + +The String Edit Distance algorithm calculates the minimum number of operations (insertions, deletions, or substitutions) required to convert one string into another. + +**Algorithm Overview:** +- **Base Cases:** If one string is empty, the edit distance is the length of the other string. +- **Memoization:** Store the results of previously computed edit distances to avoid redundant computations. +- **Recurrence Relation:** Compute the edit distance by considering insertion, deletion, and substitution operations. + +## String Edit Distance Code in Python (Top-Down Approach with Memoization) +```python +def edit_distance(str1, str2, memo={}): + m, n = len(str1), len(str2) + if (m, n) in memo: + return memo[(m, n)] + if m == 0: + return n + if n == 0: + return m + if str1[m - 1] == str2[n - 1]: + memo[(m, n)] = edit_distance(str1[:m-1], str2[:n-1], memo) + else: + memo[(m, n)] = 1 + min(edit_distance(str1, str2[:n-1], memo), # Insert + edit_distance(str1[:m-1], str2, memo), # Remove + edit_distance(str1[:m-1], str2[:n-1], memo)) # Replace + return memo[(m, n)] + +str1 = "sunday" +str2 = "saturday" +print(f"Edit Distance between '{str1}' and '{str2}' is {edit_distance(str1, str2)}.") +# Output: Edit Distance between 'sunday' and 'saturday' is 3. +``` +## String Edit Distance Code in Python (Bottom-Up Approach) +```python +def edit_distance(str1, str2): + m, n = len(str1), len(str2) + dp = [[0 for _ in range(n + 1)] for _ in range(m + 1)] + + for i in range(m + 1): + for j in range(n + 1): + if i == 0: + dp[i][j] = j + elif j == 0: + dp[i][j] = i + elif str1[i - 1] == str2[j - 1]: + dp[i][j] = dp[i - 1][j - 1] + else: + dp[i][j] = 1 + min(dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]) + + return dp[m][n] + +str1 = "sunday" +str2 = "saturday" +print(f"Edit Distance between '{str1}' and '{str2}' is {edit_distance(str1, str2)}.") +# Output: Edit Distance between 'sunday' and 'saturday' is 3. +``` +## **Complexity Analysis:** +- **Time Complexity:** O(m * n) where m and n are the lengths of string 1 and string 2 respectively +- **Space Complexity:** O(m * n) for both top-down and bottom-up approaches + + +# 6. Matrix Chain Multiplication + +The Matrix Chain Multiplication finds the optimal way to multiply a sequence of matrices to minimize the number of scalar multiplications. + +**Algorithm Overview:** +- **Base Cases:** The cost of multiplying one matrix is zero. +- **Memoization:** Store the results of previously computed matrix chain orders to avoid redundant computations. +- **Recurrence Relation:** Compute the optimal cost by splitting the product at different points and choosing the minimum cost. + +## Matrix Chain Multiplication Code in Python (Top-Down Approach with Memoization) +```python +def matrix_chain_order(p, memo={}): + n = len(p) - 1 + def compute_cost(i, j): + if (i, j) in memo: + return memo[(i, j)] + if i == j: + return 0 + memo[(i, j)] = float('inf') + for k in range(i, j): + q = compute_cost(i, k) + compute_cost(k + 1, j) + p[i - 1] * p[k] * p[j] + if q < memo[(i, j)]: + memo[(i, j)] = q + return memo[(i, j)] + return compute_cost(1, n) + +p = [1, 2, 3, 4] +print(f"Minimum number of multiplications is {matrix_chain_order(p)}.") +# Output: Minimum number of multiplications is 18. +``` +## Matrix Chain Multiplication Code in Python (Bottom-Up Approach) +```python +def matrix_chain_order(p): + n = len(p) - 1 + m = [[0 for _ in range(n)] for _ in range(n)] + + for L in range(2, n + 1): + for i in range(n - L + 1): + j = i + L - 1 + m[i][j] = float('inf') + for k in range(i, j): + q = m[i][k] + m[k + 1][j] + p[i] * p[k + 1] * p[j + 1] + if q < m[i][j]: + m[i][j] = q + + return m[0][n - 1] + +p = [1, 2, 3, 4] +print(f"Minimum number of multiplications is {matrix_chain_order(p)}.") +# Output: Minimum number of multiplications is 18. +``` +## **Complexity Analysis:** +- **Time Complexity:** O(n^3) where n is the number of matrices in the chain. For an `array p` of dimensions representing the matrices such that the `i-th matrix` has dimensions `p[i-1] x p[i]`, n is `len(p) - 1` +- **Space Complexity:** O(n^2) for both top-down and bottom-up approaches + + +# 7. Optimal Binary Search Tree + +The Matrix Chain Multiplication finds the optimal way to multiply a sequence of matrices to minimize the number of scalar multiplications. + +**Algorithm Overview:** +- **Base Cases:** The cost of a single key is its frequency. +- **Memoization:** Store the results of previously computed subproblems to avoid redundant computations. +- **Recurrence Relation:** Compute the optimal cost by trying each key as the root and choosing the minimum cost. + +## Optimal Binary Search Tree Code in Python (Top-Down Approach with Memoization) +```python +def optimal_bst(keys, freq, memo={}): + n = len(keys) + def compute_cost(i, j): + if (i, j) in memo: + return memo[(i, j)] + if i > j: + return 0 + if i == j: + return freq[i] + memo[(i, j)] = float('inf') + total_freq = sum(freq[i:j+1]) + for r in range(i, j + 1): + cost = (compute_cost(i, r - 1) + + compute_cost(r + 1, j) + + total_freq) + if cost < memo[(i, j)]: + memo[(i, j)] = cost + return memo[(i, j)] + return compute_cost(0, n - 1) + +keys = [10, 12, 20] +freq = [34, 8, 50] +print(f"Cost of Optimal BST is {optimal_bst(keys, freq)}.") +# Output: Cost of Optimal BST is 142. +``` +## Optimal Binary Search Tree Code in Python (Bottom-Up Approach) +```python +def optimal_bst(keys, freq): + n = len(keys) + cost = [[0 for x in range(n)] for y in range(n)] + + for i in range(n): + cost[i][i] = freq[i] + + for L in range(2, n + 1): + for i in range(n - L + 1): + j = i + L - 1 + cost[i][j] = float('inf') + total_freq = sum(freq[i:j+1]) + for r in range(i, j + 1): + c = (cost[i][r - 1] if r > i else 0) + \ + (cost[r + 1][j] if r < j else 0) + \ + total_freq + if c < cost[i][j]: + cost[i][j] = c + + return cost[0][n - 1] + +keys = [10, 12, 20] +freq = [34, 8, 50] +print(f"Cost of Optimal BST is {optimal_bst(keys, freq)}.") +# Output: Cost of Optimal BST is 142. +``` +## **Complexity Analysis:** +- **Time Complexity:** O(n^3) where n is the number of keys in the binary search tree. +- **Space Complexity:** O(n^2) for both top-down and bottom-up approaches + +
    +


    +
    From b4b295e2a0102d7eb5b53e21aa16ebd3da989f3a Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Tue, 25 Jun 2024 22:14:58 +0530 Subject: [PATCH 152/174] Update index.md --- contrib/machine-learning/index.md | 19 ++++++++----------- 1 file changed, 8 insertions(+), 11 deletions(-) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 3a2cccf9..95ee61dc 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -2,16 +2,13 @@ - [Introduction to scikit-learn](sklearn-introduction.md) - [Binomial Distribution](binomial-distribution.md) +- [Naive Bayes](naive-bayes.md) - [Regression in Machine Learning](regression.md) - [Polynomial Regression](polynomial-regression.md) - [Confusion Matrix](confusion-matrix.md) - [Decision Tree Learning](decision-tree.md) - [Random Forest](random-forest.md) - [Support Vector Machine Algorithm](support-vector-machine.md) -- [Artificial Neural Network from the Ground Up](ann.md) -- [Introduction To Convolutional Neural Networks (CNNs)](intro-to-cnn.md) -- [TensorFlow](tensorflow.md) -- [PyTorch](pytorch.md) - [Ensemble Learning](ensemble-learning.md) - [Types of optimizers](types-of-optimizers.md) - [Logistic Regression](logistic-regression.md) @@ -19,14 +16,14 @@ - [Clustering](clustering.md) - [Hierarchical Clustering](hierarchical-clustering.md) - [Grid Search](grid-search.md) -- [Transformers](transformers.md) - [K-Means](kmeans.md) - [K-nearest neighbor (KNN)](knn.md) -<<<<<<< RL +- [Xgboost](xgboost.md) +- [Artificial Neural Network from the Ground Up](ann.md) +- [Introduction To Convolutional Neural Networks (CNNs)](intro-to-cnn.md) +- [TensorFlow](tensorflow.md) +- [PyTorch](pytorch.md) +- [PyTorch Fundamentals](pytorch-fundamentals.md) +- [Transformers](transformers.md) - [Reinforcement Learning](reinforcement-learning.md) -======= -- [Naive Bayes](naive-bayes.md) - [Neural network regression](neural-network-regression.md) -- [PyTorch Fundamentals](pytorch-fundamentals.md) -- [Xgboost](xgboost.md) ->>>>>>> main From 3275592f71770951206aa5487d3a1369d608dd5e Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Tue, 25 Jun 2024 22:17:47 +0530 Subject: [PATCH 153/174] Update reinforcement-learning.md --- .../reinforcement-learning.md | 69 ------------------- 1 file changed, 69 deletions(-) diff --git a/contrib/machine-learning/reinforcement-learning.md b/contrib/machine-learning/reinforcement-learning.md index 027b6822..c5529fc9 100644 --- a/contrib/machine-learning/reinforcement-learning.md +++ b/contrib/machine-learning/reinforcement-learning.md @@ -2,54 +2,6 @@ Reinforcement Learning (RL) is a field of Machine Learing which focuses on goal-directed learning from interaction with the environment. In RL, an agent learns to make decisions by performing actions in an environment to maximize cumulative numerical reward signal. This README aims to provide a thorough understanding of RL, covering key concepts, algorithms, applications, and resources. -## Table of Contents - -
    -Click to expand - -1. [What is Reinforcement Learning?](#what-is-reinforcement-learning) -2. [Key Concepts and Terminology](#key-concepts-and-terminology) - - [Agent](#agent) - - [Environment](#environment) - - [State](#state) - - [Action](#action) - - [Reward](#reward) - - [Policy](#policy) - - [Value Function](#value-function) - - [Model](#model) - - [Exploration vs. Exploitation](#exploration-vs-exploitation) -3. [Types of Reinforcement Learning](#types-of-reinforcement-learning) - - [Model-Based vs Model-Free](#model-based-vs-model-free) - - [Value-Based Methods](#value-based-methods) - - [Policy-Based Methods](#policy-based-methods) - - [Actor-Critic Methods](#actor-critic-methods) -4. [Important Algorithms](#important-algorithms) - - [Q-Learning](#q-learning) - - [SARSA](#sarsa) - - [REINFORCE Algorithm](#reinforce-algorithm) - - [Proximal Policy Optimization (PPO)](#proximal-policy-optimization-ppo) - - [A2C/A3C](#a2ca3c) -5. [Mathematical Background](#mathematical-background) - - [Markov Decision Processes (MDP)](#markov-decision-processes-mdps) - - [Bellman Equations](#bellman-equations) -6. [Applications of Reinforcement Learning](#applications-of-reinforcement-learning) - - [Gaming](#gaming) - - [Robotics](#robotics) - - [Finance](#finance) - - [Healthcare](#healthcare) -7. [Tools and Libraries](#tools-and-libraries) -8. [Resources for Further Learning](#resources-for-further-learning) - - [Books](#books) - - [Online Courses](#online-courses) - - [Research Papers](#research-papers) - - [Blogs and Websites](#blogs-and-websites) -9. [How to Start with Reinforcement Learning](#how-to-start-with-reinforcement-learning) - - [Prerequisites](#prerequisites) - - [Beginner Project](#beginner-project) -10. [Conclusion](#conclusion) - -
    - ## What is Reinforcement Learning? Reinforcement learning involves determining the best actions to take in various situations to maximize a numerical reward signal. Instead of being instructed on which actions to take, the learner must explore and identify the actions that lead to the highest rewards through trial and error. After each action performed in its environment, a trainer may give feedback in the form of rewards or penalties to indicate the desirability of the resulting state. Unlike supervised learning, reinforcement learning does not depend on labeled data but instead learns from the outcomes of its actions. @@ -175,25 +127,6 @@ In healthcare, reinforcement learning is utilized for various applications such - **PyTorch:** Popular machine learning library with RL capabilities. - **Stable Baselines3:** A set of reliable implementations of RL algorithms in PyTorch. -## Resources for Further Learning -### Books -- "Reinforcement Learning: An Introduction" by Sutton and Barto -- "Deep Reinforcement Learning Hands-On" by Maxim Lapan - -### Online Courses -- "Reinforcement Learning" by Udacity -- "Fundamentals of Reinforcement Learning" by Coursera -- "Master Reinforcement Learning and Deep RL with Python" by Udemy - -### Research Papers -- [Reinforcement learning model, algorithms and its application](https://ieeexplore.ieee.org/abstract/document/6025669) -- [A Concise Introduction to Reinforcement Learning](https://www.researchgate.net/publication/323178749_A_Concise_Introduction_to_Reinforcement_Learning) - -### Blogs and Websites -- [OpenAI Blog](https://spinningup.openai.com/en/latest/) -- [Geeks for Geeks](https://www.geeksforgeeks.org/what-is-reinforcement-learning/) -- [Medium Blog](https://gordicaleksa.medium.com/how-to-get-started-with-reinforcement-learning-rl-4922fafeaf8c) - ## How to Start with Reinforcement Learning ### Prerequisites @@ -298,5 +231,3 @@ for i in range(num_rows): ## Conclusion Congratulations on completing your journey through this comprehensive guide to reinforcement learning! Armed with this knowledge, you are well-equipped to dive deeper into the exciting world of RL, whether it's for gaming, robotics, finance, healthcare, or any other domain. Keep exploring, experimenting, and learning, and remember, the only limit to what you can achieve with reinforcement learning is your imagination. - -*Happy coding, and may your RL adventures be rewarding!* From 5d41cfd48175673f4c6fcd29254f5fe8bd53d78b Mon Sep 17 00:00:00 2001 From: Ganesh Date: Wed, 26 Jun 2024 10:31:03 +0530 Subject: [PATCH 154/174] resolved conflicts --- .../assets/eda/bi-variate-analysis.png | Bin 0 -> 23786 bytes .../assets/eda/correlation-analysis.png | Bin 0 -> 25512 bytes .../assets/eda/multi-variate-analysis.png | Bin 0 -> 278287 bytes .../assets/eda/uni-variate-analysis1.png | Bin 0 -> 57396 bytes .../assets/eda/uni-variate-analysis2.png | Bin 0 -> 15235 bytes .../exploratory_dataAnalysis.md | 184 ++++++++++++++++++ contrib/machine-learning/index.md | 1 + 7 files changed, 185 insertions(+) create mode 100644 contrib/machine-learning/assets/eda/bi-variate-analysis.png create mode 100644 contrib/machine-learning/assets/eda/correlation-analysis.png create mode 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zcRd`ula_XWX{-rUT<@;K!NE0%AgCgNs;{)PaTdnSPlCOMH(Xz4t9;IysC90)A{B3{|aY<=u>l;Dt z2+Sk4*2(2G^Q`xz+C&6N!0}~dm6Od_o@*mEmqBX>VpWe+?`CBrT-#mg`WQ;Dw<)PF zM1Ob7N9qX33`edGUKjRxncV^sjMKLuj`NS|0qrql17OU~I(lDxXh3Q`ACQ;~hg^EV zJw7R>>)@l8j!n>W%}tO_azxvaP&$zVkR22OtAL*0UkB*~F?m}UN+%ZqIY_IM4SL4c z1JC*MVl)0wI$;B-aUD4ZJ%8l_>7+Z}d$*ha}_$rcFa}i5sVc>Etp0d2UT)xa5 G-~R;?rlCjx literal 0 HcmV?d00001 diff --git a/contrib/machine-learning/exploratory_dataAnalysis.md b/contrib/machine-learning/exploratory_dataAnalysis.md new file mode 100644 index 00000000..1559a099 --- /dev/null +++ b/contrib/machine-learning/exploratory_dataAnalysis.md @@ -0,0 +1,184 @@ +# Exploratory Data Analysis + +Exploratory Data Analysis (EDA) is an approach to analyzing data sets to summarize their main characteristics, often with visual methods. EDA is used to understand the data, get a sense of the data, and to identify relationships between variables. EDA is a crucial step in the data analysis process and should be done before building a model. + +## Why is EDA important? + +1. **Understand the data**: EDA helps to understand the data, its structure, and its characteristics. + +2. **Identify patterns and relationships**: EDA helps to identify patterns and relationships between variables. + +3. **Detect outliers and anomalies**: EDA helps to detect outliers and anomalies in the data. + +4. **Prepare data for modeling**: EDA helps to prepare the data for modeling by identifying missing values, handling missing values, and transforming variables. + +## Steps in EDA + +1. **Data Collection**: Collect the data from various sources. + +2. **Data Cleaning**: Clean the data by handling missing values, removing duplicates, and transforming variables. + +3. **Data Exploration**: Explore the data by visualizing the data, summarizing the data, and identifying patterns and relationships. + +4. **Data Analysis**: Analyze the data by performing statistical analysis, hypothesis testing, and building models. + +5. **Data Visualization**: Visualize the data using various plots and charts to understand the data better. + +## Tools for EDA + +1. **Python**: Python is a popular programming language for data analysis and has many libraries for EDA, such as Pandas, NumPy, Matplotlib, Seaborn, and Plotly. + +2. **Jupiter Notebook**: Jupyter Notebook is an open-source web application that allows you to create and share documents that contain live code, equations, visualizations, and narrative text. + +## Techniques for EDA + +1. **Descriptive Statistics**: Descriptive statistics summarize the main characteristics of a data set, such as mean, median, mode, standard deviation, and variance. + +2. **Data Visualization**: Data visualization is the graphical representation of data to understand the data better, such as histograms, scatter plots, box plots, and heat maps. + +3. **Correlation Analysis**: Correlation analysis is used to measure the strength and direction of the relationship between two variables. + +4. **Hypothesis Testing**: Hypothesis testing is used to test a hypothesis about a population parameter based on sample data. + +5. **Dimensionality Reduction**: Dimensionality reduction is the process of reducing the number of variables in a data set while retaining as much information as possible. + +6. **Clustering Analysis**: Clustering analysis is used to group similar data points together based on their characteristics. + +## Commonly Used Techniques in EDA + +1. **Uni-variate Analysis**: Uni-variate analysis is the simplest form of data analysis that involves analyzing a single variable at a time. + +2. **Bi-variate Analysis**: Bi-variate analysis involves analyzing two variables at a time to understand the relationship between them. + +3. **Multi-variate Analysis**: Multi-variate analysis involves analyzing more than two variables at a time to understand the relationship between them. + +## Understand with an Example + +Let's understand EDA with an example. Here we use a famous dataset called Iris dataset. + +The dataset consists of 150 samples of iris flowers, where each sample represents measurements of four features (variables) for three species of iris flowers. + +The four features measured are : +Sepal length (in cm) Sepal width (in cm) Petal length (in cm) Petal width (in cm). + +The three species of iris flowers included in the dataset are : +**Setosa**, **Versicolor**, **Virginica** + +```python +# Import libraries +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt +import seaborn as sns +from sklearn import datasets + +# Load the Iris dataset +iris = datasets.load_iris() +df = pd.DataFrame(iris.data, columns=iris.feature_names) +df.head() +``` + +| Sepal Length (cm) | Sepal Width (cm) | Petal Length (cm) | Petal Width (cm) | +|-------------------|------------------|-------------------|------------------| +| 5.1 | 3.5 | 1.4 | 0.2 | +| 4.9 | 3.0 | 1.4 | 0.2 | +| 4.7 | 3.2 | 1.3 | 0.2 | +| 4.6 | 3.1 | 1.5 | 0.2 | +| 5.0 | 3.6 | 1.4 | 0.2 | + + +### Uni-variate Analysis + +```python +# Uni-variate Analysis +df_setosa=df.loc[df['species']=='setosa'] +df_virginica=df.loc[df['species']=='virginica'] +df_versicolor=df.loc[df['species']=='versicolor'] + +plt.plot(df_setosa['sepal_length']) +plt.plot(df_virginica['sepal_length']) +plt.plot(df_versicolor['sepal_length']) +plt.xlabel('sepal length') +plt.show() +``` +![Uni-variate Analysis](assets/eda/uni-variate-analysis1.png) + +```python +plt.hist(df_setosa['petal_length']) +plt.hist(df_virginica['petal_length']) +plt.hist(df_versicolor['petal_length']) +plt.xlabel('petal length') +plt.show() +``` +![Uni-variate Analysis](assets/eda/uni-variate-analysis2.png) + +### Bi-variate Analysis + +```python +# Bi-variate Analysis +sns.FacetGrid(df,hue="species",height=5).map(plt.scatter,"petal_length","sepal_width").add_legen() +plt.show() +``` +![Bi-variate Analysis](assets/eda/bi-variate-analysis.png) + +### Multi-variate Analysis + +```python +# Multi-variate Analysis +sns.pairplot(df,hue="species",height=3) +``` +![Multi-variate Analysis](assets/eda/multi-variate-analysis.png) + +### Correlation Analysis + +```python +# Correlation Analysis +corr_matrix = df.corr() +sns.heatmap(corr_matrix) +``` +| | sepal_length | sepal_width | petal_length | petal_width | +|-------------|--------------|-------------|--------------|-------------| +| sepal_length| 1.000000 | -0.109369 | 0.871754 | 0.817954 | +| sepal_width | -0.109369 | 1.000000 | -0.420516 | -0.356544 | +| petal_length| 0.871754 | -0.420516 | 1.000000 | 0.962757 | +| petal_width | 0.817954 | -0.356544 | 0.962757 | 1.000000 | + +![Correlation Analysis](assets/eda/correlation-analysis.png) + +## Exploratory Data Analysis (EDA) Report on Iris Dataset + +### Introduction +The Iris dataset consists of 150 samples of iris flowers, each characterized by four features: Sepal Length, Sepal Width, Petal Length, and Petal Width. These samples belong to three species of iris flowers: Setosa, Versicolor, and Virginica. In this EDA report, we explore the dataset to gain insights into the characteristics and relationships among the features and species. + +### Uni-variate Analysis +Uni-variate analysis examines each variable individually. +- Sepal Length: The distribution of Sepal Length varies among the different species, with Setosa generally having shorter sepals compared to Versicolor and Virginica. +- Petal Length: Setosa tends to have shorter petal lengths, while Versicolor and Virginica have relatively longer petal lengths. + +### Bi-variate Analysis +Bi-variate analysis explores the relationship between two variables. +- Petal Length vs. Sepal Width: There is a noticeable separation between species, especially Setosa, which typically has shorter and wider sepals compared to Versicolor and Virginica. +- This analysis suggests potential patterns distinguishing the species based on these two features. + +### Multi-variate Analysis +Multi-variate analysis considers interactions among multiple variables simultaneously. +- Pairplot: The pairplot reveals distinctive clusters for each species, particularly in the combinations of Petal Length and Petal Width, indicating clear separation among species based on these features. + +### Correlation Analysis +Correlation analysis examines the relationship between variables. +- Correlation Heatmap: There are strong positive correlations between Petal Length and Petal Width, as well as between Petal Length and Sepal Length. Sepal Width shows a weaker negative correlation with Petal Length and Petal Width. + +### Insights +1. Petal dimensions (length and width) exhibit strong correlations, suggesting that they may collectively contribute more significantly to distinguishing between iris species. +2. Setosa tends to have shorter and wider sepals compared to Versicolor and Virginica. +3. The combination of Petal Length and Petal Width appears to be a more effective discriminator among iris species, as indicated by the distinct clusters observed in multi-variate analysis. + +### Conclusion +Through comprehensive exploratory data analysis, we have gained valuable insights into the Iris dataset, highlighting key characteristics and relationships among features and species. Further analysis and modeling could leverage these insights to develop robust classification models for predicting iris species based on their measurements. + +## Conclusion + +Exploratory Data Analysis (EDA) is a critical step in the data analysis process that helps to understand the data, identify patterns and relationships, detect outliers, and prepare the data for modeling. By using various techniques and tools, such as descriptive statistics, data visualization, correlation analysis, and hypothesis testing, EDA provides valuable insights into the data, enabling data scientists to make informed decisions and build accurate models. + + + diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 95ee61dc..37df2a8e 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -27,3 +27,4 @@ - [Transformers](transformers.md) - [Reinforcement Learning](reinforcement-learning.md) - [Neural network regression](neural-network-regression.md) +- [exploratory data analysis](exploratory_dataAnalysis.md) \ No newline at end of file From b2ef489f44925b489c9634dfd9f727153283b436 Mon Sep 17 00:00:00 2001 From: Damini2004 Date: Wed, 26 Jun 2024 14:31:54 +0530 Subject: [PATCH 155/174] Commit -2 --- .../advanced-python/regular_expressions.md | 131 ++++++++++++------ 1 file changed, 88 insertions(+), 43 deletions(-) diff --git a/contrib/advanced-python/regular_expressions.md b/contrib/advanced-python/regular_expressions.md index a8679812..040a8c78 100644 --- a/contrib/advanced-python/regular_expressions.md +++ b/contrib/advanced-python/regular_expressions.md @@ -1,112 +1,147 @@ ## Regular Expressions in Python -Regular expressions (regex) are a powerful tool for pattern matching and text manipulation. + +Regular expressions (regex) are a powerful tool for pattern matching and text manipulation. Python's re module provides comprehensive support for regular expressions, enabling efficient text processing and validation. Regular expressions (regex) are a versitile tool for matching patterns in strings. In Python, the `re` module provides support for working with regular expressions. ## 1. Introduction to Regular Expressions -A regular expression is a sequence of characters defining a search pattern. Common use cases include validating input, searching within text, and extracting + +A regular expression is a sequence of characters defining a search pattern. Common use cases include validating input, searching within text, and extracting specific patterns. ## 2. Basic Syntax + Literal Characters: Match exact characters (e.g., abc matches "abc"). -Metacharacters: Special characters like ., *, ?, +, ^, $, [ ], and | used to build patterns. +Metacharacters: Special characters like ., \*, ?, +, ^, $, [ ], and | used to build patterns. **Common Metacharacters:** -* .: Any character except newline. -* ^: Start of the string. -* $: End of the string. -* *: 0 or more repetitions. -* +: 1 or more repetitions. -* ?: 0 or 1 repetition. -* []: Any one character inside brackets (e.g., [a-z]). -* |: Either the pattern before or after. -* \ : Used to drop the special meaning of character following it -* {} : Indicate the number of occurrences of a preceding regex to match. -* () : Enclose a group of Regex +- .: Any character except newline. +- ^: Start of the string. +- $: End of the string. +- \*: 0 or more repetitions. +- +: 1 or more repetitions. +- ?: 0 or 1 repetition. +- []: Any one character inside brackets (e.g., [a-z]). +- |: Either the pattern before or after. +- \ : Used to drop the special meaning of character following it +- {} : Indicate the number of occurrences of a preceding regex to match. +- () : Enclose a group of Regex Examples: -```bash + 1. `.` + +```bash import re pattern = r'c.t' text = 'cat cot cut cit' matches = re.findall(pattern, text) print(matches) # Output: ['cat', 'cot', 'cut', 'cit'] +``` 2. `^` + +```bash pattern = r'^Hello' text = 'Hello, world!' match = re.search(pattern, text) print(match.group() if match else 'No match') # Output: 'Hello' +``` 3. `$` + +```bash pattern = r'world!$' text = 'Hello, world!' match = re.search(pattern, text) print(match.group() if match else 'No match') # Output: 'world!' +``` 4. `*` + +```bash pattern = r'ab*' text = 'a ab abb abbb' matches = re.findall(pattern, text) print(matches) # Output: ['a', 'ab', 'abb', 'abbb'] +``` 5. `+` + +```bash pattern = r'ab+' text = 'a ab abb abbb' matches = re.findall(pattern, text) print(matches) # Output: ['ab', 'abb', 'abbb'] +``` 6. `?` + +```bash pattern = r'ab?' text = 'a ab abb abbb' matches = re.findall(pattern, text) print(matches) # Output: ['a', 'ab', 'ab', 'ab'] +``` 7. `[]` + +```bash pattern = r'[aeiou]' text = 'hello world' matches = re.findall(pattern, text) print(matches) # Output: ['e', 'o', 'o'] +``` 8. `|` + +```bash pattern = r'cat|dog' text = 'I have a cat and a dog.' matches = re.findall(pattern, text) print(matches) # Output: ['cat', 'dog'] +``` 9. `\`` + +```bash pattern = r'\$100' text = 'The price is $100.' match = re.search(pattern, text) print(match.group() if match else 'No match') # Output: '$100' +``` 10. `{}` + +```bash pattern = r'\d{3}' text = 'My number is 123456' matches = re.findall(pattern, text) print(matches) # Output: ['123', '456'] +``` 11. `()` + +```bash pattern = r'(cat|dog)' text = 'I have a cat and a dog.' matches = re.findall(pattern, text) print(matches) # Output: ['cat', 'dog'] - ``` ## 3. Using the re Module **Key functions in the re module:** -* re.match(): Checks for a match at the beginning of the string. -* re.search(): Searches for a match anywhere in the string. -* re.findall(): Returns a list of all matches. -* re.sub(): Replaces matches with a specified string. -* re.split(): Returns a list where the string has been split at each match. -* re.escape(): Escapes special character -Examples: +- re.match(): Checks for a match at the beginning of the string. +- re.search(): Searches for a match anywhere in the string. +- re.findall(): Returns a list of all matches. +- re.sub(): Replaces matches with a specified string. +- re.split(): Returns a list where the string has been split at each match. +- re.escape(): Escapes special character + Examples: + ```bash import re @@ -122,7 +157,7 @@ print(re.findall(r'\d+', 'abc123def456')) # Output: ['123', '456'] # Substitute matches print(re.sub(r'\d+', '#', 'abc123def456')) # Output: abc#def# -#Return a list where it get matched +#Return a list where it get matched print(re.split("\s", txt)) #['The', 'Donkey', 'in', 'the','Town'] # Escape special character @@ -130,9 +165,11 @@ print(re.escape("We are good to go")) #We\ are\ good\ to\ go ``` ## 4. Compiling Regular Expressions + Compiling regular expressions improves performance for repeated use. Example: + ```bash import re @@ -144,9 +181,11 @@ print(pattern.findall('abc123def456')) # Output: ['123', '456'] ``` ## 5. Groups and Capturing + Parentheses () group and capture parts of the match. Example: + ```bash import re @@ -159,40 +198,46 @@ if match: ``` ## 6. Special Sequences + Special sequences are shortcuts for common patterns: -* \A:Returns a match if the specified characters are at the beginning of the string. -* \b:Returns a match where the specified characters are at the beginning or at the end of a word. -* \B:Returns a match where the specified characters are present, but NOT at the beginning (or at the end) of a word. -* \d: Any digit. -* \D: Any non-digit. -* \w: Any alphanumeric character. -* \W: Any non-alphanumeric character. -* \s: Any whitespace character. -* \S: Any non-whitespace character. -* \Z:Returns a match if the specified characters are at the end of the string. +- \A:Returns a match if the specified characters are at the beginning of the string. +- \b:Returns a match where the specified characters are at the beginning or at the end of a word. +- \B:Returns a match where the specified characters are present, but NOT at the beginning (or at the end) of a word. +- \d: Any digit. +- \D: Any non-digit. +- \w: Any alphanumeric character. +- \W: Any non-alphanumeric character. +- \s: Any whitespace character. +- \S: Any non-whitespace character. +- \Z:Returns a match if the specified characters are at the end of the string. Example: + ```bash import re print(re.search(r'\w+@\w+\.\w+', 'Contact: support@example.com').group()) # Output: support@example.com ``` + ## 7.Sets + A set is a set of characters inside a pair of square brackets [] with a special meaning: -* [arn] : Returns a match where one of the specified characters (a, r, or n) is present. -* [a-n] : Returns a match for any lower case character, alphabetically between a and n. -* [^arn] : Returns a match for any character EXCEPT a, r, and n. -* [0123] : Returns a match where any of the specified digits (0, 1, 2, or 3) are present. -* [0-9] : Returns a match for any digit between 0 and 9. -* [0-5][0-9] : Returns a match for any two-digit numbers from 00 and 59. -* [a-zA-Z] : Returns a match for any character alphabetically between a and z, lower case OR upper case. -* [+] : In sets, +, *, ., |, (), $,{} has no special meaning, so [+] means: return a match for any + character in the string. +- [arn] : Returns a match where one of the specified characters (a, r, or n) is present. +- [a-n] : Returns a match for any lower case character, alphabetically between a and n. +- [^arn] : Returns a match for any character EXCEPT a, r, and n. +- [0123] : Returns a match where any of the specified digits (0, 1, 2, or 3) are present. +- [0-9] : Returns a match for any digit between 0 and 9. +- [0-5][0-9] : Returns a match for any two-digit numbers from 00 and 59. +- [a-zA-Z] : Returns a match for any character alphabetically between a and z, lower case OR upper case. +- [+] : In sets, +, \*, ., |, (), $,{} has no special meaning +- [+] means: return a match for any + character in the string. ## Summary + Regular expressions (regex) are a powerful tool for text processing in Python, offering a flexible way to match, search, and manipulate text patterns. The re module provides a comprehensive set of functions and metacharacters to tackle complex text processing tasks. With regex, you can: -1.Match patterns: Use metacharacters like ., *, ?, and {} to match specific patterns in text. +1.Match patterns: Use metacharacters like ., \*, ?, and {} to match specific patterns in text. 2.Search text: Employ functions like re.search() and re.match() to find occurrences of patterns in text. 3.Manipulate text: Utilize functions like re.sub() to replace patterns with new text. From 65c78e90aa80b0057825535bc65612209ad9588e Mon Sep 17 00:00:00 2001 From: Damini2004 Date: Thu, 27 Jun 2024 01:12:55 +0530 Subject: [PATCH 156/174] Commit -2 --- contrib/advanced-python/regular_expressions.md | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/contrib/advanced-python/regular_expressions.md b/contrib/advanced-python/regular_expressions.md index 040a8c78..81c883ec 100644 --- a/contrib/advanced-python/regular_expressions.md +++ b/contrib/advanced-python/regular_expressions.md @@ -1,16 +1,13 @@ ## Regular Expressions in Python - Regular expressions (regex) are a powerful tool for pattern matching and text manipulation. Python's re module provides comprehensive support for regular expressions, enabling efficient text processing and validation. Regular expressions (regex) are a versitile tool for matching patterns in strings. In Python, the `re` module provides support for working with regular expressions. ## 1. Introduction to Regular Expressions - A regular expression is a sequence of characters defining a search pattern. Common use cases include validating input, searching within text, and extracting specific patterns. ## 2. Basic Syntax - Literal Characters: Match exact characters (e.g., abc matches "abc"). Metacharacters: Special characters like ., \*, ?, +, ^, $, [ ], and | used to build patterns. @@ -19,7 +16,7 @@ Metacharacters: Special characters like ., \*, ?, +, ^, $, [ ], and | used to bu - .: Any character except newline. - ^: Start of the string. - $: End of the string. -- \*: 0 or more repetitions. +- *: 0 or more repetitions. - +: 1 or more repetitions. - ?: 0 or 1 repetition. - []: Any one character inside brackets (e.g., [a-z]). From b03352ee2352648cd6c168c1f4091521dae5c8d8 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 27 Jun 2024 19:04:00 +0530 Subject: [PATCH 157/174] Rename Tree-Traversal.md to tree-traversal.md --- contrib/ds-algorithms/{Tree-Traversal.md => tree-traversal.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/ds-algorithms/{Tree-Traversal.md => tree-traversal.md} (100%) diff --git a/contrib/ds-algorithms/Tree-Traversal.md b/contrib/ds-algorithms/tree-traversal.md similarity index 100% rename from contrib/ds-algorithms/Tree-Traversal.md rename to contrib/ds-algorithms/tree-traversal.md From 7159c1c0473689519146f3c89bec1dffe72b36c9 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 27 Jun 2024 19:04:24 +0530 Subject: [PATCH 158/174] Update index.md --- contrib/ds-algorithms/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/ds-algorithms/index.md b/contrib/ds-algorithms/index.md index 25e797fa..71a9cb52 100644 --- a/contrib/ds-algorithms/index.md +++ b/contrib/ds-algorithms/index.md @@ -22,4 +22,4 @@ - [AVL Trees](avl-trees.md) - [Splay Trees](splay-trees.md) - [Dijkstra's Algorithm](dijkstra.md) -- [Tree Traversals](Tree-Traversal.md) +- [Tree Traversals](tree-traversal.md) From 59e2353bc94d2d5dd6840002e82eb4e81d140501 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 27 Jun 2024 19:37:55 +0530 Subject: [PATCH 159/174] Update dynamic-programming.md --- contrib/ds-algorithms/dynamic-programming.md | 54 +++++++++++++++----- 1 file changed, 41 insertions(+), 13 deletions(-) diff --git a/contrib/ds-algorithms/dynamic-programming.md b/contrib/ds-algorithms/dynamic-programming.md index 986ecd37..f4958689 100644 --- a/contrib/ds-algorithms/dynamic-programming.md +++ b/contrib/ds-algorithms/dynamic-programming.md @@ -265,8 +265,13 @@ def edit_distance(str1, str2, memo={}): str1 = "sunday" str2 = "saturday" print(f"Edit Distance between '{str1}' and '{str2}' is {edit_distance(str1, str2)}.") -# Output: Edit Distance between 'sunday' and 'saturday' is 3. ``` + +#### Output +``` +Edit Distance between 'sunday' and 'saturday' is 3. +``` + ## String Edit Distance Code in Python (Bottom-Up Approach) ```python def edit_distance(str1, str2): @@ -289,8 +294,13 @@ def edit_distance(str1, str2): str1 = "sunday" str2 = "saturday" print(f"Edit Distance between '{str1}' and '{str2}' is {edit_distance(str1, str2)}.") -# Output: Edit Distance between 'sunday' and 'saturday' is 3. ``` + +#### Output +``` +Edit Distance between 'sunday' and 'saturday' is 3. +``` + ## **Complexity Analysis:** - **Time Complexity:** O(m * n) where m and n are the lengths of string 1 and string 2 respectively - **Space Complexity:** O(m * n) for both top-down and bottom-up approaches @@ -324,8 +334,14 @@ def matrix_chain_order(p, memo={}): p = [1, 2, 3, 4] print(f"Minimum number of multiplications is {matrix_chain_order(p)}.") -# Output: Minimum number of multiplications is 18. ``` + +#### Output +``` +Minimum number of multiplications is 18. +``` + + ## Matrix Chain Multiplication Code in Python (Bottom-Up Approach) ```python def matrix_chain_order(p): @@ -345,13 +361,17 @@ def matrix_chain_order(p): p = [1, 2, 3, 4] print(f"Minimum number of multiplications is {matrix_chain_order(p)}.") -# Output: Minimum number of multiplications is 18. ``` + +#### Output +``` +Minimum number of multiplications is 18. +``` + ## **Complexity Analysis:** - **Time Complexity:** O(n^3) where n is the number of matrices in the chain. For an `array p` of dimensions representing the matrices such that the `i-th matrix` has dimensions `p[i-1] x p[i]`, n is `len(p) - 1` - **Space Complexity:** O(n^2) for both top-down and bottom-up approaches - # 7. Optimal Binary Search Tree The Matrix Chain Multiplication finds the optimal way to multiply a sequence of matrices to minimize the number of scalar multiplications. @@ -362,6 +382,7 @@ The Matrix Chain Multiplication finds the optimal way to multiply a sequence of - **Recurrence Relation:** Compute the optimal cost by trying each key as the root and choosing the minimum cost. ## Optimal Binary Search Tree Code in Python (Top-Down Approach with Memoization) + ```python def optimal_bst(keys, freq, memo={}): n = len(keys) @@ -386,9 +407,15 @@ def optimal_bst(keys, freq, memo={}): keys = [10, 12, 20] freq = [34, 8, 50] print(f"Cost of Optimal BST is {optimal_bst(keys, freq)}.") -# Output: Cost of Optimal BST is 142. ``` + +#### Output +``` +Cost of Optimal BST is 142. +``` + ## Optimal Binary Search Tree Code in Python (Bottom-Up Approach) + ```python def optimal_bst(keys, freq): n = len(keys) @@ -414,12 +441,13 @@ def optimal_bst(keys, freq): keys = [10, 12, 20] freq = [34, 8, 50] print(f"Cost of Optimal BST is {optimal_bst(keys, freq)}.") -# Output: Cost of Optimal BST is 142. ``` -## **Complexity Analysis:** -- **Time Complexity:** O(n^3) where n is the number of keys in the binary search tree. -- **Space Complexity:** O(n^2) for both top-down and bottom-up approaches -
    -
    -
    +#### Output +``` +Cost of Optimal BST is 142. +``` + +### Complexity Analysis +- **Time Complexity**: O(n^3) where n is the number of keys in the binary search tree. +- **Space Complexity**: O(n^2) for both top-down and bottom-up approaches From 1954374803a806c58c96c192b1d0621176bb257a Mon Sep 17 00:00:00 2001 From: mankalavaishnavi Date: Thu, 27 Jun 2024 20:00:20 +0530 Subject: [PATCH 160/174] changes as per request --- contrib/ds-algorithms/deque.md | 156 +++++++++++++++++++++------------ 1 file changed, 102 insertions(+), 54 deletions(-) diff --git a/contrib/ds-algorithms/deque.md b/contrib/ds-algorithms/deque.md index db489a82..2a5a77d2 100644 --- a/contrib/ds-algorithms/deque.md +++ b/contrib/ds-algorithms/deque.md @@ -19,86 +19,134 @@ d = deque(iterable) # Create deque from iterable (optional) - append(x): Adds element x to the right end of the deque. - appendleft(x): Adds element x to the left end of the deque. + ### Program + ```py + from collections import deque + + # Initialize a deque + d = deque([1, 2, 3, 4, 5]) + print("Initial deque:", d) + + # Append elements + d.append(6) + print("After append(6):", d) + + # Append left + d.appendleft(0) + print("After appendleft(0):", d) + + ``` + ### Output + ```py + Initial deque: deque([1, 2, 3, 4, 5]) + After append(6): deque([1, 2, 3, 4, 5, 6]) + After appendleft(0): deque([0, 1, 2, 3, 4, 5, 6]) + ``` + 2. **Removing Elements**: - pop(): Removes and returns the rightmost element. - popleft(): Removes and returns the leftmost element. + ### Program + ```py + from collections import deque + + # Initialize a deque + d = deque([1, 2, 3, 4, 5]) + print("Initial deque:", d) + + # Pop from the right end + rightmost = d.pop() + print("Popped from right end:", rightmost) + print("Deque after pop():", d) + + # Pop from the left end + leftmost = d.popleft() + print("Popped from left end:", leftmost) + print("Deque after popleft():", d) + + ``` + + ### Output + ```py + Initial deque: deque([1, 2, 3, 4, 5]) + Popped from right end: 5 + Deque after pop(): deque([1, 2, 3, 4]) + Popped from left end: 1 + Deque after popleft(): deque([2, 3, 4]) + ``` + 3. **Accessing Elements**: - deque[index]: Accesses element at index. + ### Program + ```py + from collections import deque + + # Initialize a deque + d = deque([1, 2, 3, 4, 5]) + print("Initial deque:", d) + + # Accessing elements + print("Element at index 2:", d[2]) + + ``` + + ### Output + ```py + Initial deque: deque([1, 2, 3, 4, 5]) + Element at index 2: 3 + + ``` + 4. **Other Operations**: - extend(iterable): Extends deque by appending elements from iterable. - extendleft(iterable): Extends deque by appending elements from iterable to the left. - rotate(n): Rotates deque n steps to the right (negative n rotates left). -## Example - -### 1. showing all the operations -```py -from collections import deque + ### Program + ```py + from collections import deque -# Initialize a deque -d = deque([1, 2, 3, 4, 5]) -print("Initial deque:", d) + # Initialize a deque + d = deque([1, 2, 3, 4, 5]) + print("Initial deque:", d) -# Append elements -d.append(6) -print("After append(6):", d) + # Extend deque + d.extend([6, 7, 8]) + print("After extend([6, 7, 8]):", d) -# Append left -d.appendleft(0) -print("After appendleft(0):", d) + # Extend left + d.extendleft([-1, 0]) + print("After extendleft([-1, 0]):", d) -# Pop from the right end -rightmost = d.pop() -print("Popped from right end:", rightmost) -print("Deque after pop():", d) + # Rotate deque + d.rotate(2) + print("After rotate(2):", d) -# Pop from the left end -leftmost = d.popleft() -print("Popped from left end:", leftmost) -print("Deque after popleft():", d) + # Rotate left + d.rotate(-3) + print("After rotate(-3):", d) -# Accessing elements -print("Element at index 2:", d[2]) + ``` -# Extend deque -d.extend([6, 7, 8]) -print("After extend([6, 7, 8]):", d) + ### Output + ```py + Initial deque: deque([1, 2, 3, 4, 5]) + After extend([6, 7, 8]): deque([1, 2, 3, 4, 5, 6, 7, 8]) + After extendleft([-1, 0]): deque([0, -1, 1, 2, 3, 4, 5, 6, 7, 8]) + After rotate(2): deque([7, 8, 0, -1, 1, 2, 3, 4, 5, 6]) + After rotate(-3): deque([1, 2, 3, 4, 5, 6, 7, 8, 0, -1]) -# Extend left -d.extendleft([-1, 0]) -print("After extendleft([-1, 0]):", d) + ``` -# Rotate deque -d.rotate(2) -print("After rotate(2):", d) -# Rotate left -d.rotate(-3) -print("After rotate(-3):", d) -``` -Output -```py -Initial deque: deque([1, 2, 3, 4, 5]) -After append(6): deque([1, 2, 3, 4, 5, 6]) -After appendleft(0): deque([0, 1, 2, 3, 4, 5, 6]) -Popped from right end: 6 -Deque after pop(): deque([0, 1, 2, 3, 4, 5]) -Popped from left end: 0 -Deque after popleft(): deque([1, 2, 3, 4, 5]) -Element at index 2: 3 -After extend([6, 7, 8]): deque([1, 2, 3, 4, 5, 6, 7, 8]) -After extendleft([-1, 0]): deque([0, -1, 1, 2, 3, 4, 5, 6, 7, 8]) -After rotate(2): deque([7, 8, 0, -1, 1, 2, 3, 4, 5, 6]) -After rotate(-3): deque([1, 2, 3, 4, 5, 6, 7, 8, 0, -1]) - -``` +## Example -### 2. Finding Maximum in Sliding Window +### 1. Finding Maximum in Sliding Window ```py from collections import deque From 53de9d412448d4225c12e5d4911f22d1fb192688 Mon Sep 17 00:00:00 2001 From: srilekha279 <158455553+srilekha279@users.noreply.github.com> Date: Thu, 27 Jun 2024 22:05:00 +0530 Subject: [PATCH 161/174] Update linked-list.md Added function reverseList --- contrib/ds-algorithms/linked-list.md | 32 ++++++++++++++++++++++------ 1 file changed, 25 insertions(+), 7 deletions(-) diff --git a/contrib/ds-algorithms/linked-list.md b/contrib/ds-algorithms/linked-list.md index ddbc6d56..31cd2e57 100644 --- a/contrib/ds-algorithms/linked-list.md +++ b/contrib/ds-algorithms/linked-list.md @@ -1,6 +1,6 @@ # Linked List Data Structure -Link list is a linear data Structure which can be defined as collection of objects called nodes that are randomly stored in the memory. +Linked list is a linear data Structure which can be defined as collection of objects called nodes that are randomly stored in the memory. A node contains two types of metadata i.e. data stored at that particular address and the pointer which contains the address of the next node in the memory. The last element in a linked list features a null pointer. @@ -36,10 +36,10 @@ The smallest Unit: Node Now, we will see the types of linked list. There are mainly four types of linked list, -1. Singly Link list -2. Doubly link list -3. Circular link list -4. Doubly circular link list +1. Singly linked list +2. Doubly linked list +3. Circular linked list +4. Doubly circular linked list ## 1. Singly linked list. @@ -160,6 +160,18 @@ check the list is empty otherwise shift the head to next node. temp.next = None # Remove the last node by setting the next pointer of the second-last node to None ``` +### Reversing the linked list +```python + def reverseList(self): + prev = None + temp = self.head + while(temp): + nextNode = temp.next #Store the next node + temp.next = prev #Reverse the pointer of current node + prev = temp #Move `prev` one step forward + temp = nextNode #Move `temp` one step forward. + self.head = prev #Update the head pointer to last node +``` ### Search in a linked list ```python @@ -174,6 +186,8 @@ check the list is empty otherwise shift the head to next node. return f"Value '{value}' not found in the list" ``` +Connect all the code. + ```python if __name__ == '__main__': llist = LinkedList() @@ -197,13 +211,17 @@ check the list is empty otherwise shift the head to next node. #delete at the end llist.deleteFromEnd() # 2 3 56 9 4 10 - # Print the list + # Print the original list + llist.printList() + llist.reverseList() #10 4 9 56 3 2 + # Print the reversed list llist.printList() ``` ## Output: -2 3 56 9 4 10 +2 3 56 9 4 10 +10 4 9 56 3 2 ## Real Life uses of Linked List From 20d36f661bb269b64ca0f134954bfce1e47a7926 Mon Sep 17 00:00:00 2001 From: srilekha279 <158455553+srilekha279@users.noreply.github.com> Date: Thu, 27 Jun 2024 22:06:20 +0530 Subject: [PATCH 162/174] Update linked-list.md --- contrib/ds-algorithms/linked-list.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/contrib/ds-algorithms/linked-list.md b/contrib/ds-algorithms/linked-list.md index 31cd2e57..59631e7c 100644 --- a/contrib/ds-algorithms/linked-list.md +++ b/contrib/ds-algorithms/linked-list.md @@ -167,10 +167,10 @@ check the list is empty otherwise shift the head to next node. temp = self.head while(temp): nextNode = temp.next #Store the next node - temp.next = prev #Reverse the pointer of current node - prev = temp #Move `prev` one step forward - temp = nextNode #Move `temp` one step forward. - self.head = prev #Update the head pointer to last node + temp.next = prev # Reverse the pointer of current node + prev = temp # Move prev pointer one step forward + temp = nextNode # Move temp pointer one step forward. + self.head = prev # Update the head pointer to last node ``` ### Search in a linked list From 3048f561ebc44714a7b8cb8f46db0cd2475f4327 Mon Sep 17 00:00:00 2001 From: Divyanshi <126316406+DivyanshiSingh00@users.noreply.github.com> Date: Thu, 27 Jun 2024 22:19:46 +0530 Subject: [PATCH 163/174] Update naive-bayes.md Updating some of the markdown equations. Please consider and please also review this under GSSOC and give this updations some level. --- contrib/machine-learning/naive-bayes.md | 85 +++++++------------------ 1 file changed, 22 insertions(+), 63 deletions(-) diff --git a/contrib/machine-learning/naive-bayes.md b/contrib/machine-learning/naive-bayes.md index 82525997..4bf0f04c 100644 --- a/contrib/machine-learning/naive-bayes.md +++ b/contrib/machine-learning/naive-bayes.md @@ -93,13 +93,9 @@ $$ - Rain: -$$ -P(Rain|Yes) = \frac{2}{6} -$$ +$$P(Rain|Yes) = \frac{2}{6}$$ -$$ -P(Rain|No) = \frac{4}{4} -$$ +$$P(Rain|No) = \frac{4}{4}$$ - Overcast: @@ -111,10 +107,7 @@ $$ $$ -Here, we can see that - $$ - P(Overcast|No) = 0 - $$ +Here, we can see that P(Overcast|No) = 0 This is a zero probability error! Since probability is 0, naive bayes model fails to predict. @@ -124,13 +117,9 @@ Since probability is 0, naive bayes model fails to predict. In Laplace's correction, we scale the values for 1000 instances. - **Calculate prior probabilities** - $$ - P(Yes) = \frac{600}{1002} - $$ + $$P(Yes) = \frac{600}{1002}$$ - $$ - P(No) = \frac{402}{1002} - $$ + $$P(No) = \frac{402}{1002}$$ - **Calculate likelihoods** @@ -151,21 +140,13 @@ Since probability is 0, naive bayes model fails to predict. - **Rain:** - $$ - P(Rain|Yes) = \frac{200}{600} - $$ - $$ - P(Rain|No) = \frac{401}{402} - $$ + $$P(Rain|Yes) = \frac{200}{600}$$ + $$P(Rain|No) = \frac{401}{402}$$ - **Overcast:** - $$ - P(Overcast|Yes) = \frac{400}{600} - $$ - $$ - P(Overcast|No) = \frac{1}{402} - $$ + $$P(Overcast|Yes) = \frac{400}{600}$$ + $$P(Overcast|No) = \frac{1}{402}$$ 2. **Wind (B):** @@ -181,49 +162,27 @@ Since probability is 0, naive bayes model fails to predict. - **Weak:** - $$ - P(Weak|Yes) = \frac{500}{600} - $$ - $$ - P(Weak|No) = \frac{200}{400} - $$ + $$P(Weak|Yes) = \frac{500}{600}$$ + $$P(Weak|No) = \frac{200}{400}$$ - **Strong:** - $$ - P(Strong|Yes) = \frac{100}{600} - $$ - $$ - P(Strong|No) = \frac{200}{400} - $$ + $$P(Strong|Yes) = \frac{100}{600}$$ + $$P(Strong|No) = \frac{200}{400}$$ - **Calculting probabilities:** - $$ - P(PlayTennis|Yes) = P(Yes) * P(Overcast|Yes) * P(Weak|Yes) - $$ - $$ - = \frac{600}{1002} * \frac{400}{600} * \frac{500}{600} - $$ - $$ - = 0.3326 - $$ - - $$ - P(PlayTennis|No) = P(No) * P(Overcast|No) * P(Weak|No) - $$ - $$ - = \frac{402}{1002} * \frac{1}{402} * \frac{200}{400} - $$ - $$ - = 0.000499 = 0.0005 - $$ + $$P(PlayTennis|Yes) = P(Yes) * P(Overcast|Yes) * P(Weak|Yes)$$ + $$= \frac{600}{1002} * \frac{400}{600} * \frac{500}{600}$$ + $$= 0.3326$$ + + $$P(PlayTennis|No) = P(No) * P(Overcast|No) * P(Weak|No)$$ + $$= \frac{402}{1002} * \frac{1}{402} * \frac{200}{400}$$ + $$= 0.000499 = 0.0005$$ Since , -$$ - P(PlayTennis|Yes) > P(PlayTennis|No) -$$ +$$P(PlayTennis|Yes) > P(PlayTennis|No)$$ we can conclude that tennis can be played if outlook is overcast and wind is weak. @@ -366,4 +325,4 @@ print("Confusion matrix: \n",confusion_matrix(y_train,y_pred)) ## Conclusion We can conclude that naive bayes may limit in some cases due to the assumption that the features are independent of each other but still reliable in many cases. Naive Bayes is an efficient classifier and works even on small datasets. - \ No newline at end of file + From 0ab0668f271d05c60351258b73c497641fa12ca2 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 27 Jun 2024 23:03:11 +0530 Subject: [PATCH 164/174] Update README.md --- README.md | 4 ---- 1 file changed, 4 deletions(-) diff --git a/README.md b/README.md index a025510c..5cb7379d 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,5 @@ [![Discord Server Invite](https://img.shields.io/badge/DISCORD-JOIN%20SERVER-5663F7?style=for-the-badge&logo=discord&logoColor=white)](https://bit.ly/heyfoss) -This project is participating in GSSoC 2024. - -![gssoc-logo](https://github.com/foss42/awesome-generative-ai-apis/assets/1382619/670b651a-15d7-4869-a4d1-6613df09fa37) - Contributors should go through the [Contributing Guide](https://github.com/animator/learn-python/blob/main/CONTRIBUTING.md) to learn how you can contribute to the project. ![Learn Python 3 Logo](images/learn-python.png) From 3d25e5a030ec966a6e933bad055262415e0deb62 Mon Sep 17 00:00:00 2001 From: RajKhanke <137288727+RajKhanke@users.noreply.github.com> Date: Sat, 29 Jun 2024 17:50:02 +0530 Subject: [PATCH 165/174] Update index.md --- contrib/plotting-visualization/index.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 02324f22..b1074166 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -10,4 +10,5 @@ - [Seaborn Plotting Functions](seaborn-plotting.md) - [Getting started with Seaborn](seaborn-basics.md) - [Bar Plots in Plotly](plotly-bar-plots.md) -- [Pie Charts in Plotly](plotly-pie-charts.md) \ No newline at end of file +- [Pie Charts in Plotly](plotly-pie-charts.md) +- [Violin Plots in Matplotlib](matplotlib-violin_plots.md) From 3680553331fa1149ed59f84403594ea8dcbcc13f Mon Sep 17 00:00:00 2001 From: Manas Deshpande 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zVhG?LV=oTUK6;Ia$A2B5XJx~dxB;;>r!XLf( EKZ2*rBme*a literal 0 HcmV?d00001 From ba1b163b6ec66507d91a1e996f36fd84e8dd136b Mon Sep 17 00:00:00 2001 From: Manas Deshpande <66067507+manasdeshpande@users.noreply.github.com> Date: Mon, 1 Jul 2024 16:02:10 +0530 Subject: [PATCH 167/174] Created plotly-scatter-plots.md --- .../plotly-scatter-plots.md | 198 ++++++++++++++++++ 1 file changed, 198 insertions(+) create mode 100644 contrib/plotting-visualization/plotly-scatter-plots.md diff --git a/contrib/plotting-visualization/plotly-scatter-plots.md b/contrib/plotting-visualization/plotly-scatter-plots.md new file mode 100644 index 00000000..dc40b1f7 --- /dev/null +++ b/contrib/plotting-visualization/plotly-scatter-plots.md @@ -0,0 +1,198 @@ +# Scatter Plots in Plotly + +* A scatter plot is a type of data visualization that uses dots to show values for two variables, with one variable on the x-axis and the other on the y-axis. It's useful for identifying relationships, trends, and correlations, as well as spotting clusters and outliers. +* The dots on the plot shows how the variables are related. A scatter plot is made with the plotly library's `px.scatter()`. + +## Prerequisites + +Before creating Scatter plots in Plotly you must ensure that you have Python, Plotly and Pandas installed on your system. + +## Introduction + +There are various ways to create Scatter plots in `plotly`. One of the prominent and easiest one is using `plotly.express`. Plotly Express is the easy-to-use, high-level interface to Plotly, which operates on a variety of types of data and produces easy-to-style figures. On the other hand you can also use `plotly.graph_objects` to create various plots. + +Here, we'll be using `plotly.express` to create the Scatter Plots. Also we'll be converting our datasets into pandas DataFrames which makes it extremely convenient and easy to create charts. + +Also, note that when you execute the codes in a simple python file, the output plot will be shown in your **browser**, rather than a pop-up window like in matplotlib. If you do not want that, it is **recommended to create the plots in a notebook (like jupyter)**. For this, install an additional library `nbformat`. This way you can see the output on the notebook itself, and can also render its format to png, jpg, etc. + +## Creating a simple Scatter Plot using `plotly.express.scatter` + +In `plotly.express.scatter`, each data point is represented as a marker point, whose location is given by the x and y columns. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years": years, "Number of Cars sold": num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating scatter plot +fig = px.scatter(df, x='Years', y='Number of Cars sold') + +# Showing plot +fig.show() +``` +![Basic Scatter Plot](images/plotly-basic-scatter-plot.png) + +Here, we are first creating the dataset and converting it into a pandas DataFrame using a dictionary, with its keys being DataFrame columns. Next, we are plotting the scatter plot by using `px.scatter`. In the `x` and `y` parameters, we have to specify a column name in the DataFrame. + +`px.scatter(df, x='Years', y='Number of Cars sold')` is used to specify that the scatter plot is to be plotted by taking the values from column `Years` for the x-axis and the values from column `Number of Cars sold` for the y-axis. + +Note: When you generate the image using the above code, it will show you an interactive plot. If you want an image, you can download it from the interactive plot itself. + +## Customizing Scatter Plots + +### Adding title to the plot + +Simply pass the title of your plot as a parameter in `px.scatter`. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years": years, "Number of Cars sold": num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating scatter plot +fig = px.scatter(df, x='Years', y='Number of Cars sold' ,title='Number of cars sold in various years') + +# Showing plot +fig.show() +``` +![Scatter Plot title](images/plotly-scatter-title.png) + +### Adding bar colors and legends + +* To add different colors to different bars, simply pass the column name of the x-axis or a custom column which groups different bars in `color` parameter. +* There are a lot of beautiful color scales available in plotly and can be found here [plotly color scales](https://plotly.com/python/builtin-colorscales/). Choose your favourite colorscale apply it like this: + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +flowers = ['Rose','Tulip','Marigold','Sunflower','Daffodil'] +petals = [11,9,17,4,7] + +# Converting dataset to pandas DataFrame +dataset = {'flowers':flowers, 'petals':petals} +df = pd.DataFrame(dataset) + +# Creating pie chart +fig = px.pie(df, values='petals', names='flowers', + title='Number of Petals in Flowers', + color_discrete_sequence=px.colors.sequential.Agsunset) + +# Showing plot +fig.show() +``` +![Scatter Plot Colors-1](images/plotly-scatter-colour.png) + +You can also set custom colors for each label by passing it as a dictionary(map) in `color_discrete_map`, like this: + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years": years, "Number of Cars sold": num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating scatter plot +fig = px.scatter(df, x='Years', + y='Number of Cars sold' , + title='Number of cars sold in various years', + color='Years', + color_discrete_map={'1998':'red', + '1999':'magenta', + '2000':'green', + '2001':'yellow', + '2002':'royalblue'}) + +# Showing plot +fig.show() +``` +![Scatter Plot Colors-1](images/plotly-scatter-colour-2.png) + +### Setting Size of Scatter + +We may want to set the size of different scatters for visibility differences between categories. This can be done by using the `size` parameter in `px.scatter`, where we specify a column in the DataFrame that determines the size of each scatter point. + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years": years, "Number of Cars sold": num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating scatter plot +fig = px.scatter(df, x='Years', + y='Number of Cars sold' , + title='Number of cars sold in various years', + color='Years', + color_discrete_map={'1998':'red', + '1999':'magenta', + '2000':'green', + '2001':'yellow', + '2002':'royalblue'}, + size='Number of Cars sold') + +# Showing plot +fig.show() +``` +![Scatter plot size](images/plotly-scatter-size.png) + +### Giving a hover effect + +you can use the `hover_name` and `hover_data` parameters in `px.scatter`. The `hover_name` parameter specifies the column to use for the `hover text`, and the `hover_data` parameter allows you to specify additional data to display when hovering over a point + +```Python +import plotly.express as px +import pandas as pd + +# Creating dataset +years = ['1998', '1999', '2000', '2001', '2002'] +num_of_cars_sold = [200, 300, 500, 700, 1000] + +# Converting dataset to pandas DataFrame +dataset = {"Years": years, "Number of Cars sold": num_of_cars_sold} +df = pd.DataFrame(dataset) + +# Creating scatter plot +fig = px.scatter(df, x='Years', + y='Number of Cars sold' , + title='Number of cars sold in various years', + color='Years', + color_discrete_map={'1998':'red', + '1999':'magenta', + '2000':'green', + '2001':'yellow', + '2002':'royalblue'}, + size='Number of Cars sold', + hover_name='Years', + hover_data={'Number of Cars sold': True}) + +# Showing plot +fig.show() +``` +![Scatter Hover](images/plotly-scatter-hover.png) + From 47690b7af47947878119756e6bb554cab6d13998 Mon Sep 17 00:00:00 2001 From: Manas Deshpande <66067507+manasdeshpande@users.noreply.github.com> Date: Mon, 1 Jul 2024 16:07:37 +0530 Subject: [PATCH 168/174] Update Index.md with plotly scatter plots --- contrib/plotting-visualization/index.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/contrib/plotting-visualization/index.md b/contrib/plotting-visualization/index.md index 02324f22..db7f33a7 100644 --- a/contrib/plotting-visualization/index.md +++ b/contrib/plotting-visualization/index.md @@ -10,4 +10,5 @@ - [Seaborn Plotting Functions](seaborn-plotting.md) - [Getting started with Seaborn](seaborn-basics.md) - [Bar Plots in Plotly](plotly-bar-plots.md) -- [Pie Charts in Plotly](plotly-pie-charts.md) \ No newline at end of file +- [Pie Charts in Plotly](plotly-pie-charts.md) +- [Scatter Plots in Plotly](plotly-scatter-plots.md) From 7b209363dd6e8eb4768d3eb2a19e5a607174cbf3 Mon Sep 17 00:00:00 2001 From: Salma Mamdoh 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zvf~AJ{cKvk0HalkSUrHak^x8qm^!@L`}6Wg;Ie$Id!_cbg@iU~9tP}j ze8pLdpO=5P1UJ733((l{PbwwJ0wVn%geFZ2$*!(ApD$e+obB5$@rYn`V9L8P%Arrj zjo|2aZ|IN0!OZ;#rY*c745X|By!y38t+Kns6gre=`dK(em*ikY zXiwFj`&ESy%B7yRE(LL4sUU>{8ignFD3wCDu|9aO@b0)Z$^?`unfH}6A-(KZ#>0sebr1RVuy2N|ztkod zb5Zy9EJ4vLu$pY!RUQ+*qq0)}v39Z^>uLU`1aCL9rWF466rn6Yqek;5;Rhy>?jI)~ zmfrjQ<<>Rgi~+v8Kl%Ei-{6@Ve3!S<)Om-5IloHQ&y=1C?{VvXo1!fv@9Md6%aLR6 zbd7teT&e+muXnR-dT@=oSAf99d+L)fNuYb-V|L2cyWFlhbMbWW|=YHMP;0Uxc$ zG8}e5b0)sVJSp~;`4pWLd)0|w49j|X3_>HM7rVvssu}Ub>CNq zkE8mRnBWIuy2EKH?(6MaKCq|z@?Kk*+Zv%4LG^^*gOyPDbI>4FEKW!at!T-D7_@UYUOX&X+8WM*8WC>@HX;g-31tr-Od Date: Thu, 4 Jul 2024 22:48:37 +0530 Subject: [PATCH 171/174] Rename exploratory_dataAnalysis.md to eda.md --- contrib/machine-learning/{exploratory_dataAnalysis.md => eda.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/machine-learning/{exploratory_dataAnalysis.md => eda.md} (100%) diff --git a/contrib/machine-learning/exploratory_dataAnalysis.md b/contrib/machine-learning/eda.md similarity index 100% rename from contrib/machine-learning/exploratory_dataAnalysis.md rename to contrib/machine-learning/eda.md From 3843fcad54cc71d466b831e722415093824c22fb Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 4 Jul 2024 22:49:17 +0530 Subject: [PATCH 172/174] Update index.md --- contrib/machine-learning/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contrib/machine-learning/index.md b/contrib/machine-learning/index.md index 37df2a8e..7ee61ebe 100644 --- a/contrib/machine-learning/index.md +++ b/contrib/machine-learning/index.md @@ -27,4 +27,4 @@ - [Transformers](transformers.md) - [Reinforcement Learning](reinforcement-learning.md) - [Neural network regression](neural-network-regression.md) -- [exploratory data analysis](exploratory_dataAnalysis.md) \ No newline at end of file +- [Exploratory Data Analysis](eda.md) From 4ac12fefc85382ff3a1d0532f57e721a1474efbe Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 4 Jul 2024 23:05:47 +0530 Subject: [PATCH 173/174] Update and rename matplotlib-violin_plots.md to matplotlib-violin-plots.md --- .../{matplotlib-violin_plots.md => matplotlib-violin-plots.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename contrib/plotting-visualization/{matplotlib-violin_plots.md => matplotlib-violin-plots.md} (100%) diff --git a/contrib/plotting-visualization/matplotlib-violin_plots.md b/contrib/plotting-visualization/matplotlib-violin-plots.md similarity index 100% rename from contrib/plotting-visualization/matplotlib-violin_plots.md rename to contrib/plotting-visualization/matplotlib-violin-plots.md From edeffda1886757833b88c997cf52587859978cd2 Mon Sep 17 00:00:00 2001 From: Ashita Prasad Date: Thu, 4 Jul 2024 23:08:05 +0530 Subject: [PATCH 174/174] Delete contrib/plotting-visualization/images/matplotlib-sub-plots.md --- .../images/matplotlib-sub-plots.md | 216 ------------------ 1 file changed, 216 deletions(-) delete mode 100644 contrib/plotting-visualization/images/matplotlib-sub-plots.md diff --git a/contrib/plotting-visualization/images/matplotlib-sub-plots.md b/contrib/plotting-visualization/images/matplotlib-sub-plots.md deleted file mode 100644 index 97d45cea..00000000 --- a/contrib/plotting-visualization/images/matplotlib-sub-plots.md +++ /dev/null @@ -1,216 +0,0 @@ -# Bar Plots in Matplotlib -A bar plot or a bar chart is a type of data visualisation that represents data in the form of rectangular bars, with lengths or heights proportional to the values and data which they represent. The bar plots can be plotted both vertically and horizontally. - -It is one of the most widely used type of data visualisation as it is easy to interpret and is pleasing to the eyes. - -Matplotlib provides a very easy and intuitive method to create highly customized bar plots. - -## Prerequisites - -Before creating bar plots in matplotlib you must ensure that you have Python as well as Matplotlib installed on your system. - -## Creating a simple Bar Plot with `bar()` method - -A very basic Bar Plot can be created with `bar()` method in `matplotlib.pyplot` - -```Python -import matplotlib.pyplot as plt - -# Creating dataset -x = ["A", "B", "C", "D"] -y = [2, 7, 9, 11] - -# Creating bar plot -plt.bar(x,y) -plt.show() # Shows the plot -``` -When executed, this would show the following bar plot: - -![Basic Bar Plot](images/basic_bar_plot.png) - -The `bar()` function takes arguments that describes the layout of the bars. - -Here, `plt.bar(x,y)` is used to specify that the bar chart is to be plotted by taking the `x` array as X-axis and `y` array as Y-axis. You can customize the graph further like adding labels to the axes, color of the bars, etc. These will be explored in the upcoming sections. - -Additionally, you can also use `numpy` arrays for faster generation when handling large datasets. - -```Python -import matplotlib.pyplot as plt -import numpy as np - -# Using numpy array -x = np.array(["A", "B", "C", "D"]) -y = np.array([2, 7, 9, 11]) - -plt.bar(x,y) -plt.show() -``` -Its output would be the same as above. - -## Customizing Bar Plots - -For creating customized bar plots, it is **highly recommended** to create the plots using `matplotlib.pyplot.subplots()`, otherwise it is difficult to apply the customizations in the newer versions of Matplotlib. - -### Adding title to the graph and labeling the axes - -Let us create an imaginary graph of number of cars sold in a various years. - -```Python -import matplotlib.pyplot as plt - -fig, ax = plt.subplots() - -years = ['1999', '2000', '2001', '2002'] -num_of_cars_sold = [300, 500, 700, 1000] - -# Creating bar plot -ax.bar(years, num_of_cars_sold) - -# Adding axis labels -ax.set_xlabel("Years") -ax.set_ylabel("Number of cars sold") - -# Adding plot title -ax.set_title("Number of cars sold in various years") - -plt.show() -``` - -![Title and axis labels](images/title_and_axis_labels.png) - -Here, we have created a `matplotlib.pyplot.subplots()` object which returns a `Figure` object `fig` as well as an `Axes` object `ax` both of which are used for customizing the bar plot. `ax.set_xlabel`, `ax.set_ylabel` and `ax.set_title` are respectively used for adding labels of X, Y axis and adding title to the graph. - -### Adding bar colors and legends - -Let us consider our previous example of number of cars sold in various years and suppose that we want to add different colors to the bars from different centuries and respective legends for better interpretation. - -This can be achieved by creating two separate arrays `bar_colors` for bar colors and `bar_labels` for legend labels and passing them as arguments to parameters color and label respectively in `ax.bar` method. - -```Python -import matplotlib.pyplot as plt - -fig, ax = plt.subplots() - -years = ['1998', '1999', '2000', '2001', '2002'] -num_of_cars_sold = [200, 300, 500, 700, 1000] -bar_colors = ['tab:green', 'tab:green', 'tab:blue', 'tab:blue', 'tab:blue'] -bar_labels = ['1900s', '_1900s', '2000s', '_2000s', '_2000s'] - -# Creating the customized bar plot -ax.bar(years, num_of_cars_sold, color=bar_colors, label=bar_labels) - -# Adding axis labels -ax.set_xlabel("Years") -ax.set_ylabel("Number of cars sold") - -# Adding plot title -ax.set_title("Number of cars sold in various years") - -# Adding legend title -ax.legend(title='Centuries') - -plt.show() -``` - -![Bar colors and Legends](images/bar_colors_and_legends.png) - -Note that the labels with a preceding underscore won't show up in the legend. Legend titles can be added by simply passing `title` argument in `ax.legend()`, as shown. Also, you can have a different color for all the bars by passing the `HEX` value of that color in the `color` parameter. - -### Adding labels to bars - -We may want to add labels to bars representing their absolute (or truncated) values for instant and accurate reading. This can be achieved by passing the `BarContainer` object (returned by `ax.bar()` method) which is basically a aontainer with all the bars and optionally errorbars to `ax.bar_label` method. - -```Python -import matplotlib.pyplot as plt - -fig, ax = plt.subplots() - -years = ['1998', '1999', '2000', '2001', '2002'] -num_of_cars_sold = [200, 300, 500, 700, 1000] -bar_colors = ['tab:green', 'tab:green', 'tab:blue', 'tab:blue', 'tab:blue'] -bar_labels = ['1900s', '_1900s', '2000s', '_2000s', '_2000s'] - -# BarContainer object -bar_container = ax.bar(years, num_of_cars_sold, color=bar_colors, label=bar_labels) - -ax.set_xlabel("Years") -ax.set_ylabel("Number of cars sold") -ax.set_title("Number of cars sold in various years") -ax.legend(title='Centuries') - -# Adding bar labels -ax.bar_label(bar_container) - -plt.show() -``` - -![Bar Labels](images/bar_labels.png) - -**Note:** There are various other methods of adding bar labels in matplotlib. - -## Horizontal Bar Plot - -We can create horizontal bar plots by using the `barh()` method in `matplotlib.pyplot`. All the relevant customizations are applicable here also. - -```Python -import matplotlib.pyplot as plt - -fig, ax = plt.subplots(figsize=(10,5)) # figsize is used to alter the size of figure - -years = ['1998', '1999', '2000', '2001', '2002'] -num_of_cars_sold = [200, 300, 500, 700, 1000] -bar_colors = ['tab:green', 'tab:green', 'tab:blue', 'tab:blue', 'tab:blue'] -bar_labels = ['1900s', '_1900s', '2000s', '_2000s', '_2000s'] - -# Creating horizontal bar plot -bar_container = ax.barh(years, num_of_cars_sold, color=bar_colors, label=bar_labels) - -# Adding axis labels -ax.set_xlabel("Years") -ax.set_ylabel("Number of cars sold") - -# Adding Title -ax.set_title("Number of cars sold in various years") -ax.legend(title='Centuries') - -# Adding bar labels -ax.bar_label(bar_container) - -plt.show() -``` - -![Horizontal Bar Plot-1](images/horizontal_bar_plot_1.png) - -We can also invert the Y-axis labels here to show the top values first. - -```Python -import matplotlib.pyplot as plt - -fig, ax = plt.subplots(figsize=(10,5)) # figsize is used to alter the size of figure - -years = ['1998', '1999', '2000', '2001', '2002'] -num_of_cars_sold = [200, 300, 500, 700, 1000] -bar_colors = ['tab:green', 'tab:green', 'tab:blue', 'tab:blue', 'tab:blue'] -bar_labels = ['1900s', '_1900s', '2000s', '_2000s', '_2000s'] - -# Creating horizontal bar plot -bar_container = ax.barh(years, num_of_cars_sold, color=bar_colors, label=bar_labels) - -# Adding axis labels -ax.set_xlabel("Years") -ax.set_ylabel("Number of cars sold") - -# Adding Title -ax.set_title("Number of cars sold in various years") -ax.legend(title='Centuries') - -# Adding bar labels -ax.bar_label(bar_container) - -# Inverting Y-axis -ax.invert_yaxis() - -plt.show() -``` - -![Horizontal Bar Plot-2](images/horizontal_bar_plot_2.png)

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