添加了 R-op 和 L-op

lijin-THU · lijin-THU · commit e9543332dc00 · 2015-10-13T10:48:08.000+08:00
diff --git a/09. theano/09.02 theano basics.ipynb b/09. theano/09.02 theano basics.ipynb
@@ -310,6 +310,7 @@
     "- `b` int8\n",
     "- `w` int16\n",
     "- `i` int32\n",
+    "- `l` int64\n",
     "- `d` float64\n",
     "- `f` float32\n",
     "- `c` complex64\n",
@@ -700,7 +701,7 @@
       "[[ 1.  2.]\n",
       " [ 3.  4.]]\n",
       "the return value:\n",
-      "<CudaNdarray object at 0x000000003403E430>\n",
+      "<CudaNdarray object at 0x000000002902BF30>\n",
       "after update:\n",
       "[[ 0.  1.]\n",
       " [ 2.  3.]]\n"
@@ -803,6 +804,50 @@
    "source": [
     "`theano.gradient.jacobian` 用来计算雅可比矩阵，而 `theano.gradient.hessian` 可以用来计算 `Hessian` 矩阵。"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## `R-op` 和 `L-op`"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Rop 用来计算 $\\frac{\\partial f}{\\partial x}v$，Lop 用来计算 $v\\frac{\\partial f}{\\partial x}$：\n",
+    "\n",
+    "一个是雅可比矩阵与列向量的乘积，另一个是行向量与雅可比矩阵的乘积。"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([ 2.,  2.])"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "W = T.dmatrix('W')\n",
+    "V = T.dmatrix('V')\n",
+    "x = T.dvector('x')\n",
+    "y = T.dot(x, W)\n",
+    "JV = T.Rop(y, W, V)\n",
+    "f = theano.function([W, V, x], JV)\n",
+    "f([[1, 1], [1, 1]], [[2, 2], [2, 2]], [0,1])"
+   ]
   }
  ],
  "metadata": {
