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@mikigom
Last active April 26, 2017 09:50
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Project Nagne DL semina code
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I wanted to work through the [MNIST For ML Beginners](http://www.tensorflow.org/tutorials/mnist/beginners/index.html#mnist-for-ml-beginners) tutorial and remembered using iPython many years ago. It seemed like it would be a good fit for exploring both an unfamiliar API and data.\n",
"<!--more-->"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Extracting MNIST_data/train-images-idx3-ubyte.gz\n",
"Extracting MNIST_data/train-labels-idx1-ubyte.gz\n",
"Extracting MNIST_data/t10k-images-idx3-ubyte.gz\n",
"Extracting MNIST_data/t10k-labels-idx1-ubyte.gz\n"
]
}
],
"source": [
"import input_data\n",
"import tensorflow as tf\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"import matplotlib\n",
"%matplotlib inline\n",
"\n",
"mnist = input_data.read_data_sets(\"MNIST_data/\", one_hot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Just to look at the data, I can grab the first array of image data and reshape it back into an 28x28 pixel image."
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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ipX8h8dR7JnkgQmyR8JwV1Wq1cHx8bKry3Bs9RXZNeIv00/LDpwJuRDpawTfzEHgjv0GT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\nEZzwDkeN8P8BdTumnokMGJEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c9c1690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = mnist.train.images[0]\n",
"tmp = tmp.reshape((28,28))\n",
"\n",
"plt.imshow(tmp, cmap = cm.Greys)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"x = tf.placeholder(tf.float32, [None, 784])\n",
"W = tf.Variable(tf.zeros([784, 10]))\n",
"b = tf.Variable(tf.zeros([10]))"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y = tf.nn.softmax(tf.matmul(x, W) + b)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y_ = tf.placeholder(tf.float32, [None, 10])"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cross_entropy = -tf.reduce_sum(y_*tf.log(y))"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train_step = tf.train.GradientDescentOptimizer(0.01).minimize(cross_entropy)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"init = tf.initialize_all_variables()"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sess = tf.Session()\n",
"sess.run(init)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for i in range(1000):\n",
" batch_xs, batch_ys = mnist.train.next_batch(100)\n",
" sess.run(train_step, feed_dict={x: batch_xs, y_: batch_ys})"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"correct_prediction = tf.equal(tf.argmax(y,1), tf.argmax(y_,1))"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"accuracy = tf.reduce_mean(tf.cast(correct_prediction, \"float\"))"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.91530001"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sess.run(accuracy, feed_dict={x: mnist.test.images, y_: mnist.test.labels})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I wanted to reproduce the weight images on the tutorial and needed a colormap that was fairly similar. "
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# A red/black/blue colormap\n",
"cdict = {'red': [(0.0, 1.0, 1.0),\n",
" (0.25, 1.0, 1.0),\n",
" (0.5, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)],\n",
" 'green': [(0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)],\n",
" 'blue': [(0.0, 0.0, 0.0),\n",
" (0.5, 0.0, 0.0),\n",
" (0.75, 1.0, 1.0),\n",
" (1.0, 1.0, 1.0)]}\n",
"redblue = matplotlib.colors.LinearSegmentedColormap('red_black_blue',cdict,256)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The min/max ranges of each image vary, so I'm using the clim attribute to map each set of weights to the color map identically. The images themselves are pretty interesting; the weights for zero are pretty obvious, while some of others are not so."
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 0\n"
]
},
{
"data": {
"image/png": 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eh/WcXNSm1+O9UTygvRWvLXjn2K7I55aooFxOCmwM2gPSuDr8gHuQcYpuGefS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\nmYlIEb4A9GvEGsk+XqsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ab01310>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 1\n"
]
},
{
"data": {
"image/png": 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urJHfAxzvnqxdrQfM7DsFE+uKCj2qpn2fmJlxvD/ZqTdzdnUmEXkeIsD9x4hg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c96ee10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 2\n"
]
},
{
"data": {
"image/png": 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MbIf5tDvszlBLju1lFxOI7XCF7QhmBmS1DLaotrQBG5TZNwDmqGmyJvaGM0Ud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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b8d3490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 3\n"
]
},
{
"data": {
"image/png": 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yNXutpU4+f2Nh+j/O4MJ7+gR5CphkgKVb1L+N+dqpLri6JDDIMapa50Ae0M0O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\ndaalTllbIZaS5zfqOcdZDv220tPW8mdpk24BpscqrBrV9lb6bESfay/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SaOJ6oETYzPVb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\nYC1QyKygoGAtUMisoKBgLfB/d2DCMkcbjbwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c3a5f10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 4\n"
]
},
{
"data": {
"image/png": 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A2VOUQJauMqBUMz0wC079eNKcciD9qeBsfzBbMjsTbfd1AH4EB1qg7jQE0DGk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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c394490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 5\n"
]
},
{
"data": {
"image/png": 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pR2YmsmyYaeX35Tl2bE3N1KB8SMHMg5i6fo6qTAtobOxUwkqfn/nDWwOxeSUO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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c9c1a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 6\n"
]
},
{
"data": {
"image/png": 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jp6nc6hRAp5bsy2hxpj707GUeHDyQsZo59/rA+EvrwSwCK5+ff9l9uX2DnwKy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\n3Av5/wHxUyJtyFX4TwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c828f90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 7\n"
]
},
{
"data": {
"image/png": 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3+43tZwZolZ3xUoDtNn1TTumSrWVjrUp/eCADzgPNG9mH+kate4+ZqZ1IQU0/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\nBb8B4IgPOmmWSBoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b10af90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 8\n"
]
},
{
"data": {
"image/png": 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gZk9ho8H7OqzR+uhxvJZwZV2aAXYwQZrZBNtzex8Oz8+jd7lBy8Z6jJvXPqZt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\n131QYKb2sijvmdkxqYWVVthxOX0oY4cRVxUEeVyXhYtmHwKemVlgG2V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6aJM/BnuN8to2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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ad0b0d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Digit 9\n"
]
},
{
"data": {
"image/png": 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ajMcJyW1svnKrPutT62YPNErLW3iGbzsyQnO16BX8aFRfE0g+CljR1u319Lne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\nDTuBRmYNDQ07gUZmDQ0NO4H/A+bZCb5Jc6VYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ad0ba90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wts = W.eval(sess)\n",
"for i in range(0,10):\n",
" im = wts.flatten()[i::10].reshape((28,-1))\n",
" plt.imshow(im, cmap = redblue, clim=(-1.0, 1.0))\n",
" plt.colorbar()\n",
" print \"Digit %d\" % i\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"date": "2015-12-02T20:03:30-06:00",
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
},
"tags": [
"ipython",
"machine-learning"
],
"title": "TensorFlow MNIST with iPython"
},
"nbformat": 4,
"nbformat_minor": 0
}
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