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| 1 | +#include <stdio.h> |
| 2 | +#include <stdlib.h> |
| 3 | +#include <math.h> |
| 4 | +#include "dA.h" |
| 5 | +#include "utils.h" |
| 6 | + |
| 7 | + |
| 8 | +void test_dbn(void); |
| 9 | + |
| 10 | + |
| 11 | +double uniform(double min, double max) { |
| 12 | + return rand() / (RAND_MAX + 1.0) * (max - min) + min; |
| 13 | +} |
| 14 | + |
| 15 | +int binomial(int n, double p) { |
| 16 | + if(p < 0 || p > 1) return 0; |
| 17 | + |
| 18 | + int i; |
| 19 | + int c = 0; |
| 20 | + double r; |
| 21 | + |
| 22 | + for(i=0; i<n; i++) { |
| 23 | + r = rand() / (RAND_MAX + 1.0); |
| 24 | + if (r < p) c++; |
| 25 | + } |
| 26 | + |
| 27 | + return c; |
| 28 | +} |
| 29 | + |
| 30 | +double sigmoid(double x) { |
| 31 | + return 1.0 / (1.0 + exp(-x)); |
| 32 | +} |
| 33 | + |
| 34 | + |
| 35 | +void dA__construct(dA* this, int N, int n_visible, int n_hidden, \ |
| 36 | + double **W, double *hbias, double *vbias) { |
| 37 | + int i, j; |
| 38 | + double a = 1.0 / n_visible; |
| 39 | + |
| 40 | + this->N = N; |
| 41 | + this->n_visible = n_visible; |
| 42 | + this->n_hidden = n_hidden; |
| 43 | + |
| 44 | + if(W == NULL) { |
| 45 | + this->W = (double **)malloc(sizeof(double*) * n_hidden); |
| 46 | + this->W[0] = (double *)malloc(sizeof(double) * n_visible * n_hidden); |
| 47 | + for(i=0; i<n_hidden; i++) this->W[i] = this->W[0] + i * n_visible; |
| 48 | + |
| 49 | + for(i=0; i<n_hidden; i++) { |
| 50 | + for(j=0; j<n_visible; j++) { |
| 51 | + this->W[i][j] = uniform(-a, a); |
| 52 | + } |
| 53 | + } |
| 54 | + } else { |
| 55 | + this->W = W; |
| 56 | + } |
| 57 | + |
| 58 | + if(hbias == NULL) { |
| 59 | + this->hbias = (double *)malloc(sizeof(double) * n_hidden); |
| 60 | + for(i=0; i<n_hidden; i++) this->hbias[i] = 0; |
| 61 | + } else { |
| 62 | + this->hbias = hbias; |
| 63 | + } |
| 64 | + |
| 65 | + if(vbias == NULL) { |
| 66 | + this->vbias = (double *)malloc(sizeof(double) * n_visible); |
| 67 | + for(i=0; i<n_visible; i++) this->vbias[i] = 0; |
| 68 | + } else { |
| 69 | + this->vbias = vbias; |
| 70 | + } |
| 71 | +} |
| 72 | + |
| 73 | +void dA__destruct(dA* this) { |
| 74 | + free(this->W[0]); |
| 75 | + free(this->W); |
| 76 | + free(this->hbias); |
| 77 | + free(this->vbias); |
| 78 | +} |
| 79 | + |
| 80 | +void dA_get_corrupted_input(dA* this, int *x, int *tilde_x, double p) { |
| 81 | + int i; |
| 82 | + for(i=0; i<this->n_visible; i++) { |
| 83 | + if(x[i] == 0) { |
| 84 | + tilde_x[i] = 0; |
| 85 | + } else { |
| 86 | + tilde_x[i] = binomial(1, p); |
| 87 | + } |
| 88 | + } |
| 89 | +} |
| 90 | + |
| 91 | +// Encode |
| 92 | +void dA_get_hidden_values(dA* this, int *x, double *y) { |
| 93 | + int i,j; |
| 94 | + for(i=0; i<this->n_hidden; i++) { |
| 95 | + y[i] = 0; |
| 96 | + for(j=0; j<this->n_visible; j++) { |
| 97 | + y[i] += this->W[i][j] * x[j]; |
| 98 | + } |
| 99 | + y[i] += this->hbias[i]; |
| 100 | + y[i] = sigmoid(y[i]); |
| 101 | + } |
| 102 | +} |
| 103 | + |
| 104 | +// Decode |
| 105 | +void dA_get_reconstructed_input(dA* this, double *y, double *z) { |
| 106 | + int i, j; |
| 107 | + for(i=0; i<this->n_visible; i++) { |
| 108 | + z[i] = 0; |
| 109 | + for(j=0; j<this->n_hidden; j++) { |
| 110 | + z[i] += this->W[j][i] * y[j]; |
| 111 | + } |
| 112 | + z[i] += this->vbias[i]; |
| 113 | + z[i] = sigmoid(z[i]); |
| 114 | + } |
| 115 | +} |
| 116 | + |
| 117 | + |
| 118 | +void dA_train(dA* this, int *x, double lr, double corruption_level) { |
| 119 | + int i, j; |
| 120 | + |
| 121 | + int *tilde_x = (int *)malloc(sizeof(int) * this->n_visible); |
| 122 | + double *y = (double *)malloc(sizeof(double) * this->n_hidden); |
| 123 | + double *z = (double *)malloc(sizeof(double) * this->n_visible); |
| 124 | + |
| 125 | + double *L_vbias = (double *)malloc(sizeof(double) * this->n_visible); |
| 126 | + double *L_hbias = (double *)malloc(sizeof(double) * this->n_hidden); |
| 127 | + |
| 128 | + double p = 1 - corruption_level; |
| 129 | + |
| 130 | + dA_get_corrupted_input(this, x, tilde_x, p); |
| 131 | + dA_get_hidden_values(this, tilde_x, y); |
| 132 | + dA_get_reconstructed_input(this, y, z); |
| 133 | + |
| 134 | + // vbias |
| 135 | + for(i=0; i<this->n_visible; i++) { |
| 136 | + L_vbias[i] = x[i] - z[i]; |
| 137 | + this->vbias[i] += lr * L_vbias[i] / this->N; |
| 138 | + } |
| 139 | + |
| 140 | + // hbias |
| 141 | + for(i=0; i<this->n_hidden; i++) { |
| 142 | + L_hbias[i] = 0; |
| 143 | + for(j=0; j<this->n_visible; j++) { |
| 144 | + L_hbias[i] += this->W[i][j] * L_vbias[j]; |
| 145 | + } |
| 146 | + L_hbias[i] *= y[i] * (1 - y[i]); |
| 147 | + |
| 148 | + this->hbias[i] += lr * L_hbias[i] / this->N; |
| 149 | + } |
| 150 | + |
| 151 | + // W |
| 152 | + for(i=0; i<this->n_hidden; i++) { |
| 153 | + for(j=0; j<this->n_visible; j++) { |
| 154 | + this->W[i][j] += lr * (L_hbias[i] * tilde_x[j] + L_vbias[j] * y[i]) / this->N; |
| 155 | + } |
| 156 | + } |
| 157 | + |
| 158 | + free(L_hbias); |
| 159 | + free(L_vbias); |
| 160 | + free(z); |
| 161 | + free(y); |
| 162 | + free(tilde_x); |
| 163 | +} |
| 164 | + |
| 165 | +void dA_reconstruct(dA* this, int *x, double *z) { |
| 166 | + int i; |
| 167 | + double *y = (double *)malloc(sizeof(double) * this->n_hidden); |
| 168 | + |
| 169 | + dA_get_hidden_values(this, x, y); |
| 170 | + dA_get_reconstructed_input(this, y, z); |
| 171 | + |
| 172 | + free(y); |
| 173 | +} |
| 174 | + |
| 175 | +void test_dbn(void) { |
| 176 | + srand(0); |
| 177 | + int i, j, epoch; |
| 178 | + |
| 179 | + double learning_rate = 0.1; |
| 180 | + double corruption_level = 0.3; |
| 181 | + int training_epochs = 50; |
| 182 | + |
| 183 | + int train_N = 10; |
| 184 | + int test_N = 2; |
| 185 | + int n_visible = 20; |
| 186 | + int n_hidden = 5; |
| 187 | + |
| 188 | + // training data |
| 189 | + int train_X[10][20] = { |
| 190 | + {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 191 | + {1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 192 | + {1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 193 | + {1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 194 | + {0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 195 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, |
| 196 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1}, |
| 197 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1}, |
| 198 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1}, |
| 199 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0} |
| 200 | + }; |
| 201 | + |
| 202 | + // construct dA |
| 203 | + dA da; |
| 204 | + dA__construct(&da, train_N, n_visible, n_hidden, NULL, NULL, NULL); |
| 205 | + |
| 206 | + // train |
| 207 | + for(epoch=0; epoch<training_epochs; epoch++) { |
| 208 | + for(i=0; i<train_N; i++) { |
| 209 | + dA_train(&da, train_X[i], learning_rate, corruption_level); |
| 210 | + } |
| 211 | + } |
| 212 | + |
| 213 | + // test data |
| 214 | + int test_X[2][20] = { |
| 215 | + {1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, |
| 216 | + {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0} |
| 217 | + }; |
| 218 | + double reconstructed_X[2][20]; |
| 219 | + |
| 220 | + |
| 221 | + // test |
| 222 | + for(i=0; i<test_N; i++) { |
| 223 | + dA_reconstruct(&da, test_X[i], reconstructed_X[i]); |
| 224 | + for(j=0; j<n_visible; j++) { |
| 225 | + printf("%.5f ", reconstructed_X[i][j]); |
| 226 | + } |
| 227 | + printf("\n"); |
| 228 | + } |
| 229 | + |
| 230 | + |
| 231 | + // destruct dA |
| 232 | + dA__destruct(&da); |
| 233 | +} |
| 234 | + |
| 235 | + |
| 236 | +int main(void) { |
| 237 | + test_dbn(); |
| 238 | + return 0; |
| 239 | +} |
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