"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"fig = plt.figure(figsize=(20, 5))\n",
"for i in range(5):\n",
" img = np.array(mnist.train.images[i])\n",
" img.shape = (28, 28)\n",
" plt.subplot(150 + (i+1))\n",
" plt.imshow(img)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Neural Network Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Input Layer to Output Layer\n",
" - $i=1...784$\n",
" - $j=1...10$\n",
"$$ u_j = \\sum_i W_{ji} x_i + b_j $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Presentation of Matrix and Vector\n",
" - Shape of ${\\bf W} = 10 \\times 784$\n",
" - Shape of ${\\bf x} = 784 \\times 1$\n",
" - Shape of ${\\bf b} = 10 \\times 1$\n",
" - Shape of ${\\bf u} = 10 \\times 1$\n",
"$$ {\\bf u} = {\\bf Wx + b} $$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1, 784)\n",
"[[ 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0.38039219 0.37647063\n",
" 0.3019608 0.46274513 0.2392157 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0.35294119 0.5411765\n",
" 0.92156869 0.92156869 0.92156869 0.92156869 0.92156869 0.92156869\n",
" 0.98431379 0.98431379 0.97254908 0.99607849 0.96078438 0.92156869\n",
" 0.74509805 0.08235294 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.54901963 0.98431379 0.99607849 0.99607849 0.99607849 0.99607849\n",
" 0.99607849 0.99607849 0.99607849 0.99607849 0.99607849 0.99607849\n",
" 0.99607849 0.99607849 0.99607849 0.99607849 0.74117649 0.09019608\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0.88627458 0.99607849 0.81568635\n",
" 0.78039223 0.78039223 0.78039223 0.78039223 0.54509807 0.2392157\n",
" 0.2392157 0.2392157 0.2392157 0.2392157 0.50196081 0.8705883\n",
" 0.99607849 0.99607849 0.74117649 0.08235294 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.14901961 0.32156864 0.0509804 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0.13333334 0.83529419 0.99607849 0.99607849 0.45098042 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0.32941177 0.99607849 0.99607849 0.91764712 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0.32941177 0.99607849 0.99607849 0.91764712 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0.41568631 0.6156863 0.99607849 0.99607849 0.95294124 0.20000002\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0.09803922 0.45882356 0.89411771\n",
" 0.89411771 0.89411771 0.99215692 0.99607849 0.99607849 0.99607849\n",
" 0.99607849 0.94117653 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0.26666668 0.4666667 0.86274517\n",
" 0.99607849 0.99607849 0.99607849 0.99607849 0.99607849 0.99607849\n",
" 0.99607849 0.99607849 0.99607849 0.55686277 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0.14509805 0.73333335 0.99215692\n",
" 0.99607849 0.99607849 0.99607849 0.87450987 0.80784321 0.80784321\n",
" 0.29411766 0.26666668 0.84313732 0.99607849 0.99607849 0.45882356\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.44313729\n",
" 0.8588236 0.99607849 0.94901967 0.89019614 0.45098042 0.34901962\n",
" 0.12156864 0. 0. 0. 0. 0.7843138\n",
" 0.99607849 0.9450981 0.16078432 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0.66274512 0.99607849 0.6901961 0.24313727 0. 0.\n",
" 0. 0. 0. 0. 0. 0.18823531\n",
" 0.90588242 0.99607849 0.91764712 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0.07058824 0.48627454 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.32941177 0.99607849 0.99607849 0.65098041 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0.54509807 0.99607849 0.9333334 0.22352943 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.82352948 0.98039222 0.99607849 0.65882355 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0.94901967 0.99607849 0.93725497 0.22352943 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.34901962 0.98431379 0.9450981 0.33725491 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0.\n",
" 0.01960784 0.80784321 0.96470594 0.6156863 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0.01568628 0.45882356 0.27058825 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0. ]]\n",
"\n",
"(1, 10)\n",
"[[ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]]\n"
]
}
],
"source": [
"batch_images, batch_labels = mnist.train.next_batch(1)\n",
"print batch_images.shape\n",
"print batch_images\n",
"print\n",
"\n",
"print batch_labels.shape\n",
"print batch_labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Transposed Matrix Operation in Tensorflow\n",
" - Shape of ${\\bf x} = 1 \\times 784$\n",
" - Shape of ${\\bf W} = 784 \\times 10$\n",
" - Shape of ${\\bf b} = 1 \\times 10$\n",
" - Shape of ${\\bf u} = 1 \\times 10$\n",
"$$ {\\bf u} = {\\bf xW + b} $$ "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(100, 784)\n",
"[[ 0. 0. 0. ..., 0. 0. 0.]\n",
" [ 0. 0. 0. ..., 0. 0. 0.]\n",
" [ 0. 0. 0. ..., 0. 0. 0.]\n",
" ..., \n",
" [ 0. 0. 0. ..., 0. 0. 0.]\n",
" [ 0. 0. 0. ..., 0. 0. 0.]\n",
" [ 0. 0. 0. ..., 0. 0. 0.]]\n",
"\n",
"(100, 10)\n",
"[[ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]]\n"
]
}
],
"source": [
"batch_images, batch_labels = mnist.train.next_batch(100)\n",
"print batch_images.shape\n",
"print batch_images\n",
"print\n",
"\n",
"print batch_labels.shape\n",
"print batch_labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Mini Batch (ex. batch size = 100) \n",
" - Shape of ${\\bf x} = 100 \\times 784$\n",
" - Shape of ${\\bf W} = 784 \\times 10$\n",
" - Shape of ${\\bf b} = 100 \\times 10$\n",
" - Shape of ${\\bf u} = 100 \\times 10$\n",
"$$ {\\bf U} = {\\bf XW + B} $$ "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x - (?, 784)\n"
]
}
],
"source": [
"import tensorflow as tf\n",
"x = tf.placeholder(tf.float32, [None, 784])\n",
"print \"x -\", x.get_shape()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- we also need to add a new placeholder to input the correct answers (ground truth):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y = tf.placeholder(tf.float32, [None, 10])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- construct a single layer neural network"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"W - (784, 10)\n",
"b - (10,)\n"
]
}
],
"source": [
"W = tf.Variable(tf.zeros([784, 10]))\n",
"b = tf.Variable(tf.zeros([10]))\n",
"print \"W -\", W.get_shape()\n",
"print \"b -\", b.get_shape()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"u - (?, 10)\n"
]
}
],
"source": [
"u = tf.matmul(x, W) + b\n",
"print \"u -\", u.get_shape()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- softmax\n",
"\n",
"$$ {\\bf z} = softmax({\\bf u}) $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Error functions\n",
" - Squarred error\n",
" - Using maximum likelihood estimation\n",
" - Cross entropy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"error = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(u, y))\n",
"total_loss = tf.train.GradientDescentOptimizer(0.5).minimize(error)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose you have two tensors, where u contains computed scores for each class (for example, from u = W*x +b) and y contains one-hot encoded true labels.\n",
"\n",
"\n",
"u = ... # Predicted label, e.g. u = tf.matmul(X, W) + b\n",
"y = ... # True label, one-hot encoded\n",
"
\n",
"If you interpret the scores in u as unnormalized log probabilities, then they are logits.\n",
"\n",
"Additionally, the total cross-entropy loss computed in this manner:\n",
"\n",
"\n",
"z = tf.nn.softmax(u)\n",
"total_loss = tf.reduce_mean(-tf.reduce_sum(y * tf.log(z), [1]))\n",
"
\n",
"is essentially equivalent to the total cross-entropy loss computed with the function softmax_cross_entropy_with_logits():\n",
"\n",
"\n",
"total_loss = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(u, y))\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Training"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"init = tf.initialize_all_variables()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sess = tf.Session()\n",
"sess.run(init)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"batch_size = 100\n",
"total_batch = int(mnist.train.num_examples/batch_size)\n",
"for i in range(total_batch):\n",
" batch_images, batch_labels = mnist.train.next_batch(batch_size)\n",
" sess.run(total_loss, feed_dict={x: batch_images, y: batch_labels})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5. Evaluation"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" (10000, 784)\n",
" (10000, 10)\n"
]
}
],
"source": [
"print type(mnist.test.images), mnist.test.images.shape\n",
"print type(mnist.test.labels), mnist.test.labels.shape"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[7 2 1 ..., 4 5 6]\n",
"[7 2 1 ..., 4 5 6]\n",
"0.9116\n",
"884\n",
"Error Index: 8, Prediction: 6, Ground Truth: 5\n",
"Error Index: 33, Prediction: 6, Ground Truth: 4\n",
"Error Index: 63, Prediction: 2, Ground Truth: 3\n",
"Error Index: 66, Prediction: 7, Ground Truth: 6\n",
"Error Index: 77, Prediction: 7, Ground Truth: 2\n"
]
},
{
"data": {
"image/png": 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czaNUc6KFmiD3EAfw/VwaxYT5VhLuPoOyzPfrfzvbt6UnUaFxWCwlmpbP/KJb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ZRMyveYiR7lcncp8XQL+xusaR8peyayZ72C9RkRje83mH5BbxvarmTbK6oeosodeVSTFT1lAbMG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\n2z4WjLNhnGGcPeM0Y+eOMMelVfoMzoK1aR5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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"batch_x, batch_y = mnist.test.next_batch(10000)\n",
"prediction = sess.run(tf.argmax(u, 1), feed_dict={x:batch_x})\n",
"ground_truth = sess.run(tf.argmax(y, 1), feed_dict={y:batch_y})\n",
"\n",
"print prediction\n",
"print ground_truth\n",
"\n",
"sum = 0\n",
"diff_index_list = []\n",
"for i in range(10000):\n",
" if (prediction[i] == ground_truth[i]):\n",
" sum = sum + 1\n",
" else:\n",
" diff_index_list.append(i)\n",
" #print \"%d - %d: %s\" % (diff_a[i], diff_b[i], diff_a[i] == diff_b[i])\n",
"\n",
"print sum / 10000.0\n",
"print len(diff_index_list)\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"fig = plt.figure(figsize=(20, 5))\n",
"for i in range(5):\n",
" j = diff_index_list[i]\n",
" print \"Error Index: %s, Prediction: %s, Ground Truth: %s\" % (j, prediction[j], ground_truth[j])\n",
" img = np.array(mnist.test.images[j])\n",
" img.shape = (28, 28)\n",
" plt.subplot(150 + (i+1))\n",
" plt.imshow(img)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"prediction_and_ground_truth = tf.equal(tf.argmax(u, 1), tf.argmax(y, 1))\n",
"accuracy = tf.reduce_mean(tf.cast(prediction_and_ground_truth, tf.float32))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.9116\n"
]
}
],
"source": [
"print(sess.run(accuracy, feed_dict={x: mnist.test.images, y: mnist.test.labels}))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 6. Single Layer Neural Network - All in one"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total batch: 550\n",
"Epoch 0 Finished - Accuracy: 0.912200\n",
"Epoch 1 Finished - Accuracy: 0.917600\n",
"Epoch 2 Finished - Accuracy: 0.919600\n",
"Epoch 3 Finished - Accuracy: 0.922700\n",
"Epoch 4 Finished - Accuracy: 0.922400\n",
"Epoch 5 Finished - Accuracy: 0.923200\n",
"Epoch 6 Finished - Accuracy: 0.921100\n",
"Epoch 7 Finished - Accuracy: 0.921700\n",
"Epoch 8 Finished - Accuracy: 0.922900\n",
"Epoch 9 Finished - Accuracy: 0.921200\n",
"Epoch 10 Finished - Accuracy: 0.926000\n",
"Epoch 11 Finished - Accuracy: 0.923100\n",
"Epoch 12 Finished - Accuracy: 0.926600\n",
"Epoch 13 Finished - Accuracy: 0.925500\n",
"Epoch 14 Finished - Accuracy: 0.922900\n",
"Epoch 15 Finished - Accuracy: 0.922300\n",
"Epoch 16 Finished - Accuracy: 0.916700\n",
"Epoch 17 Finished - Accuracy: 0.923100\n",
"Epoch 18 Finished - Accuracy: 0.924400\n",
"Epoch 19 Finished - Accuracy: 0.925600\n",
"Epoch 20 Finished - Accuracy: 0.925500\n",
"Epoch 21 Finished - Accuracy: 0.924500\n",
"Epoch 22 Finished - Accuracy: 0.922600\n",
"Epoch 23 Finished - Accuracy: 0.925100\n",
"Epoch 24 Finished - Accuracy: 0.924500\n",
"Epoch 25 Finished - Accuracy: 0.924900\n",
"Epoch 26 Finished - Accuracy: 0.921500\n",
"Epoch 27 Finished - Accuracy: 0.924200\n",
"Epoch 28 Finished - Accuracy: 0.923700\n",
"Epoch 29 Finished - Accuracy: 0.919600\n",
"Epoch 30 Finished - Accuracy: 0.923600\n",
"Epoch 31 Finished - Accuracy: 0.923600\n",
"Epoch 32 Finished - Accuracy: 0.923000\n",
"Epoch 33 Finished - Accuracy: 0.923700\n",
"Epoch 34 Finished - Accuracy: 0.924800\n",
"Epoch 35 Finished - Accuracy: 0.923000\n",
"Epoch 36 Finished - Accuracy: 0.925400\n",
"Epoch 37 Finished - Accuracy: 0.922000\n",
"Epoch 38 Finished - Accuracy: 0.920100\n",
"Epoch 39 Finished - Accuracy: 0.924100\n",
"Optimization Finished!\n"
]
}
],
"source": [
"import tensorflow as tf\n",
"from tensorflow.examples.tutorials.mnist import input_data\n",
"\n",
"# Parameters\n",
"training_epochs = 40\n",
"learning_rate = 0.001\n",
"batch_size = 100\n",
"\n",
"# Network Parameters\n",
"n_input = 784 # MNIST data input (img shape: 28*28)\n",
"n_classes = 10 # MNIST total classes (0-9 digits)\n",
"\n",
"# tf Graph input\n",
"x = tf.placeholder(tf.float32, [None, n_input])\n",
"y = tf.placeholder(tf.float32, [None, n_classes])\n",
"\n",
"# Construct model\n",
"W = tf.Variable(tf.zeros([n_input, n_classes]))\n",
"b = tf.Variable(tf.zeros([n_classes]))\n",
"u = tf.matmul(x, W) + b\n",
"\n",
"# Define loss and target loss function\n",
"#z = tf.nn.softmax(u)\n",
"#error = tf.reduce_mean(-tf.reduce_sum(z_ * tf.log(z), reduction_indices=[1]))\n",
"error = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(u, y))\n",
"total_loss = tf.train.GradientDescentOptimizer(0.5).minimize(error)\n",
"\n",
"# Initializing the variables\n",
"init = tf.initialize_all_variables()\n",
"\n",
"# Calculate accuracy with a Test model\n",
"prediction_ground_truth = tf.equal(tf.argmax(u, 1), tf.argmax(y, 1))\n",
"accuracy = tf.reduce_mean(tf.cast(prediction_ground_truth, tf.float32))\n",
" \n",
"# Launch the tensorflow graph\n",
"with tf.Session() as sess:\n",
" sess.run(init)\n",
" total_batch = int(mnist.train.num_examples / batch_size)\n",
" print \"Total batch: %d\" % total_batch\n",
" \n",
" # Training cycle\n",
" for epoch in range(training_epochs):\n",
" # Loop over all batches\n",
" for i in range(total_batch):\n",
" batch_images, batch_labels = mnist.train.next_batch(batch_size)\n",
" sess.run(total_loss, feed_dict={x: batch_images, y: batch_labels})\n",
" print \"Epoch %d Finished - Accuracy: %f\" % (epoch, accuracy.eval({x: mnist.test.images, y: mnist.test.labels}))\n",
" \n",
" print(\"Optimization Finished!\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 7. Multi Layer Neural Network - All in one"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
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{
"name": "stdout",
"output_type": "stream",
"text": [
"Total batch: 550\n",
"Epoch 0 Finished - Accuracy: 0.822300\n",
"Epoch 1 Finished - Accuracy: 0.855200\n",
"Epoch 2 Finished - Accuracy: 0.870800\n",
"Epoch 3 Finished - Accuracy: 0.881200\n",
"Epoch 4 Finished - Accuracy: 0.887600\n",
"Epoch 5 Finished - Accuracy: 0.892100\n",
"Epoch 6 Finished - Accuracy: 0.898000\n",
"Epoch 7 Finished - Accuracy: 0.901100\n",
"Epoch 8 Finished - Accuracy: 0.905600\n",
"Epoch 9 Finished - Accuracy: 0.908900\n",
"Epoch 10 Finished - Accuracy: 0.910900\n",
"Epoch 11 Finished - Accuracy: 0.910400\n",
"Epoch 12 Finished - Accuracy: 0.912600\n",
"Epoch 13 Finished - Accuracy: 0.914200\n",
"Epoch 14 Finished - Accuracy: 0.914200\n",
"Epoch 15 Finished - Accuracy: 0.916800\n",
"Epoch 16 Finished - Accuracy: 0.917300\n",
"Epoch 17 Finished - Accuracy: 0.918700\n",
"Epoch 18 Finished - Accuracy: 0.917500\n",
"Epoch 19 Finished - Accuracy: 0.919200\n",
"Epoch 20 Finished - Accuracy: 0.920600\n",
"Epoch 21 Finished - Accuracy: 0.921000\n",
"Epoch 22 Finished - Accuracy: 0.919700\n",
"Epoch 23 Finished - Accuracy: 0.921100\n",
"Epoch 24 Finished - Accuracy: 0.922400\n",
"Epoch 25 Finished - Accuracy: 0.923000\n",
"Epoch 26 Finished - Accuracy: 0.923200\n",
"Epoch 27 Finished - Accuracy: 0.922200\n",
"Epoch 28 Finished - Accuracy: 0.922900\n",
"Epoch 29 Finished - Accuracy: 0.923100\n",
"Epoch 30 Finished - Accuracy: 0.924400\n",
"Epoch 31 Finished - Accuracy: 0.925000\n",
"Epoch 32 Finished - Accuracy: 0.924200\n",
"Epoch 33 Finished - Accuracy: 0.923600\n",
"Epoch 34 Finished - Accuracy: 0.924000\n",
"Epoch 35 Finished - Accuracy: 0.924600\n",
"Epoch 36 Finished - Accuracy: 0.926500\n",
"Epoch 37 Finished - Accuracy: 0.925400\n",
"Epoch 38 Finished - Accuracy: 0.927300\n",
"Epoch 39 Finished - Accuracy: 0.925700\n",
"Optimization Finished!\n"
]
}
],
"source": [
"# Parameters\n",
"training_epochs = 40\n",
"learning_rate = 0.001\n",
"batch_size = 100\n",
"display_step = 1\n",
"\n",
"# Network Parameters\n",
"n_input = 784 # MNIST data input (img shape: 28*28)\n",
"n_hidden_1 = 256 # 1st layer number of features\n",
"n_hidden_2 = 256 # 2nd layer number of features\n",
"n_classes = 10 # MNIST total classes (0-9 digits)\n",
"\n",
"# tf Graph input\n",
"x = tf.placeholder(\"float\", [None, n_input])\n",
"y = tf.placeholder(\"float\", [None, n_classes])\n",
"\n",
"# Store layers weight & bias\n",
"weights = {\n",
" 'W1': tf.Variable(tf.random_normal([n_input, n_hidden_1])),\n",
" 'W2': tf.Variable(tf.random_normal([n_hidden_1, n_hidden_2])),\n",
" 'out': tf.Variable(tf.random_normal([n_hidden_2, n_classes]))\n",
"}\n",
"biases = {\n",
" 'b1': tf.Variable(tf.random_normal([n_hidden_1])),\n",
" 'b2': tf.Variable(tf.random_normal([n_hidden_2])),\n",
" 'out': tf.Variable(tf.random_normal([n_classes]))\n",
"}\n",
"\n",
"# Create model\n",
"def multilayer_perceptron(x, weights, biases):\n",
" # Hidden layer with RELU activation\n",
" u_2 = tf.add(tf.matmul(x, weights['W1']), biases['b1'])\n",
" z_2 = tf.nn.relu(u_2)\n",
" # Hidden layer with RELU activation\n",
" u_3 = tf.add(tf.matmul(z_2, weights['W2']), biases['b2'])\n",
" z_3 = tf.nn.relu(u_3)\n",
" # Output layer with linear activation\n",
" u_4 = tf.add(tf.matmul(z_3, weights['out']), biases['out'])\n",
" return u_4\n",
"\n",
"# Construct model\n",
"pred = multilayer_perceptron(x, weights, biases)\n",
"\n",
"# Define loss and target loss function\n",
"# pred = tf.nn.softmax(pred)\n",
"# error = tf.reduce_mean(-tf.reduce_sum(y * tf.log(pred), reduction_indices=[1]))\n",
"error = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(pred, y))\n",
"total_loss = tf.train.GradientDescentOptimizer(learning_rate).minimize(error)\n",
"\n",
"# Initializing the variables\n",
"init = tf.initialize_all_variables()\n",
"\n",
"# Calculate accuracy with a Test model \n",
"prediction_ground_truth = tf.equal(tf.argmax(pred, 1), tf.argmax(y, 1))\n",
"accuracy = tf.reduce_mean(tf.cast(prediction_ground_truth, tf.float32))\n",
" \n",
"# Launch the graph\n",
"with tf.Session() as sess:\n",
" sess.run(init)\n",
" total_batch = int(mnist.train.num_examples/batch_size)\n",
" print \"Total batch: %d\" % total_batch\n",
"\n",
" # Training cycle\n",
" for epoch in range(training_epochs):\n",
" \n",
" # Loop over all batches\n",
" for i in range(total_batch):\n",
" batch_images, batch_labels = mnist.train.next_batch(batch_size)\n",
" sess.run(total_loss, feed_dict={x: batch_images, y: batch_labels})\n",
" print \"Epoch %d Finished - Accuracy: %f\" % (epoch, accuracy.eval({x: mnist.test.images, y: mnist.test.labels}))\n",
" \n",
" print(\"Optimization Finished!\")"
]
},
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"source": []
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