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@welschma
Last active October 19, 2016 13:58
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Tensorflow Example: Linear Regression"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import tensorflow as tf\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate data with small deviation."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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YwzHHfIHe3kuq+l6kPqngEBFpMEEQsHfv3pLtwQtbjucvl50PpIBVQPbSy4wZ93H0KGQL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\nkar7/wGlGUaFOiFsQgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a2234fad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,10, 100)\n",
"y = 3*x + 2 + np.random.normal(scale=1, size=x.size)\n",
"# plot data\n",
"plt.scatter(x,y)\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Reshape data for matching the input in the Tensorflow model for later."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"NDATA = x.size\n",
"x = np.reshape(x, (NDATA, 1))\n",
"y = np.reshape(y, (NDATA, 1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Build the TensorFlow Graph."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X = tf.placeholder(tf.float32, shape=[NDATA, 1])\n",
"Y = tf.placeholder(tf.float32, shape=[NDATA, 1])\n",
"\n",
"m = tf.Variable(tf.random_uniform(shape=[1, 1]), name='slope')\n",
"c = tf.Variable(tf.zeros(shape=[1, 1]), name='bias')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Model is y = m*x + c. tf.placeholder is used to feed data into the computation. tf.Variables are model parameters. These are learned trough the learn operation."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Y_ = tf.matmul(X, m) + c\n",
"error = tf.reduce_mean(tf.square(Y_ - Y))\n",
"\n",
"train = tf.train.AdamOptimizer(0.01).minimize(error)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Session is used to evaluate the graph."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with tf.Session() as sess:\n",
" sess.run(tf.initialize_all_variables())\n",
" ml = []\n",
" cl = []\n",
" for _ in range(1000):\n",
" sess.run(train, {X: x, Y: y})\n",
" if _%200==0:\n",
" ml.append(m.eval())\n",
" cl.append(c.eval())\n",
" mm = m.eval()\n",
" cc = c.eval()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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+O+kzsCHzuEetNYcO/QIE4eT0LP7PfMzK/75JcrLM1Ba3pm3btvTu3Zvx48dz8eJFmjRp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\nsWN1nTp1dIUKFXS7du305s2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mJsaq7N69e1FKWZUtKpJECiHEHRB7+Sx7VnbhQuW3oFwi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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a20251710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"epoch = [0,200, 400, 600, 800]\n",
"plt.scatter(x, y)\n",
"for i in range(5):\n",
" x = np.linspace(0,10,100)\n",
" plt.plot(x, ml[i][0,0]*x + cl[i][0,0], lw=1.5, label=str(epoch[i]))\n",
"plt.plot(x, mm[0,0]*x + cc[0,0], lw=1.5, label='1000')\n",
"plt.legend(bbox_to_anchor=(1.05,1), loc=2, borderaxespad=0.)\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.title('Learning Process')\n",
"plt.grid(True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"after epoch 0 slope: 0.55 offset: 0.01\n",
"after epoch 200 slope: 2.15 offset: 1.60\n",
"after epoch 400 slope: 2.82 offset: 2.23\n",
"after epoch 600 slope: 2.97 offset: 2.32\n",
"after epoch 800 slope: 2.99 offset: 2.27\n",
"after epoch 1000 slope: 3.01 offset: 2.20\n"
]
}
],
"source": [
"for i in range(5):\n",
" print 'after epoch {}'.format(epoch[i]), 'slope: {:.2f}'.format(ml[i][0,0]), 'offset: {:.2f}'.format(cl[i][0,0])\n",
"print 'after epoch {}'.format(1000), 'slope: {:.2f}'.format(mm[0,0]), 'offset: {:.2f}'.format(cc[0,0])"
]
}
],
"metadata": {
"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": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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