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@enakai00
Created October 8, 2017 02:17
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Mixture Density Network
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#!pip install tensorflow==1.2.1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'1.2.1'"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"from pandas import Series, DataFrame\n",
"from numpy.random import uniform\n",
"import tensorflow as tf\n",
"tf.__version__"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def create_dataset(num):\n",
" xs = np.linspace(0,1,num)\n",
" ys = xs + 0.3*np.sin(2*np.pi*xs) + uniform(-0.1,0.1,num)\n",
" return DataFrame({'x': ys, 'y': xs}) # Swapping xs and ys"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"N=400 # Number of samples\n",
"train_set = create_dataset(N)\n",
"train_x = [[x] for x in train_set.x]\n",
"train_t = [[t] for t in train_set.y]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f26a1677650>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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ZEg4IBQUF8MuWS/T09CAvL09xzc6dO7Fjxw4AwJIlSzAyMoJAIIDc3FzTe3s88xItXkqx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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f26a2d80b50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(6,6))\n",
"subplot = fig.add_subplot(1,1,1)\n",
"subplot.scatter(train_set.x, train_set.y, marker='o', color='blue')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model_num = 3\n",
"output_dim = 1\n",
"output_nodes = model_num * (output_dim + 2)\n",
"\n",
"num_units = 5\n",
"x = tf.placeholder(tf.float32, [None, 1])\n",
"w1 = tf.Variable(tf.truncated_normal([1, num_units]))\n",
"b1 = tf.Variable(tf.zeros([num_units]))\n",
"hidden1 = tf.nn.tanh(tf.matmul(x, w1) + b1)\n",
"\n",
"w0 = tf.Variable(tf.truncated_normal([num_units, output_nodes]))\n",
"b0 = tf.Variable(tf.zeros([output_nodes]))\n",
"output = tf.matmul(hidden1, w0) + b0"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pi, variance, mu = tf.split(output, [3, 3, 3], 1)\n",
"pi = tf.nn.softmax(pi)\n",
"variance = tf.exp(variance)\n",
"dist = tf.contrib.distributions.Normal(mu, variance)\n",
"\n",
"t = tf.placeholder(tf.float32, [None, 1])\n",
"loss = -tf.reduce_sum(tf.log(tf.reduce_sum(pi * dist.prob(t), 1)))\n",
"train_step = tf.train.AdamOptimizer(learning_rate=0.00005).minimize(loss)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sess = tf.InteractiveSession()\n",
"sess.run(tf.global_variables_initializer())"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"step 10000: loss -117.603378296\n",
"step 20000: loss -201.298217773\n",
"step 30000: loss -274.78338623\n",
"step 40000: loss -287.590667725\n",
"step 50000: loss -304.812194824\n",
"step 60000: loss -318.077056885\n",
"step 70000: loss -403.93182373\n",
"step 80000: loss -422.56439209\n",
"step 90000: loss -431.04498291\n",
"step 100000: loss -441.241424561\n",
"step 110000: loss -450.816375732\n",
"step 120000: loss -457.341766357\n",
"step 130000: loss -462.849151611\n",
"step 140000: loss -466.729248047\n",
"step 150000: loss -469.92477417\n",
"step 160000: loss -472.875488281\n",
"step 170000: loss -475.529724121\n",
"step 180000: loss -479.68157959\n",
"step 190000: loss -485.045379639\n",
"step 200000: loss -487.204345703\n",
"step 210000: loss -488.085083008\n",
"step 220000: loss -488.61138916\n",
"step 230000: loss -488.990600586\n",
"step 240000: loss -489.27545166\n",
"step 250000: loss -489.504638672\n",
"step 260000: loss -489.698974609\n",
"step 270000: loss -489.870361328\n",
"step 280000: loss -490.028259277\n",
"step 290000: loss -490.176147461\n",
"step 300000: loss -490.319091797\n",
"step 310000: loss -490.456542969\n",
"step 320000: loss -490.59274292\n",
"step 330000: loss -490.726257324\n",
"step 340000: loss -490.857666016\n",
"step 350000: loss -490.986694336\n",
"step 360000: loss -491.113525391\n",
"step 370000: loss -491.237182617\n",
"step 380000: loss -491.35748291\n",
"step 390000: loss -491.474304199\n",
"step 400000: loss -491.587219238\n",
"step 410000: loss -491.697052002\n",
"step 420000: loss -491.801635742\n",
"step 430000: loss -491.903137207\n",
"step 440000: loss -492.001098633\n",
"step 450000: loss -492.096008301\n",
"step 460000: loss -492.186767578\n",
"step 470000: loss -492.275817871\n",
"step 480000: loss -492.36126709\n",
"step 490000: loss -492.444915771\n",
"step 500000: loss -492.526397705\n"
]
}
],
"source": [
"for c in range(1, 500001):\n",
" sess.run(train_step, feed_dict = {x: train_x, t: train_t})\n",
" if c % 10000 == 0:\n",
" loss_val = sess.run(loss, feed_dict = {x: train_x, t: train_t})\n",
" print('step {}: loss {}'.format(c, loss_val))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def select_mode(pi_val):\n",
" p = uniform(0,1)\n",
" if p < pi_val[0]:\n",
" return 0\n",
" if p < pi_val[0] + pi_val[1]:\n",
" return 1\n",
" return 2\n",
"\n",
"y_sample = tf.random_normal([1], mu, variance)\n",
"samples = DataFrame(columns=['x','y'])\n",
"for x0 in np.linspace(0, 1, 400):\n",
" y_val, pi_val = sess.run([y_sample, pi], feed_dict={x: [[x0]]})\n",
" y_val, pi_val = y_val[0], pi_val[0]\n",
" mode = select_mode(pi_val)\n",
" samples = samples.append(Series([x0,y_val[mode]], index=['x','y']),\n",
" ignore_index=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"xs = [[x0] for x0 in np.linspace(0,1,100)]\n",
"pdf = []\n",
"for y0 in np.linspace(0,1,100):\n",
" pdf.append(\n",
" sess.run(tf.reduce_sum(pi * dist.prob([y0]), 1), feed_dict={x: xs}))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f269474e590>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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pEUDD6YQPP2w+LQgUBWJjBTYbzeqEUaKWE5vXb75jUSKRHLt4PAE++KCAV175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\nQGbOPIWhQ7Pa7bfk0JFiS3Jc0Fw4+f2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rXn7ZhrZtrXB1NcHcXEZqqpaNG+P56qvbjBx5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XjiiTMYNKjdEX82wf4RYktwWPk9E95FlINAIGgpixfv5u67/4vVauCzz66sNsRHIkn+9KdFFBQE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\nS5IkSZIkaRj9f0jBhQ9VgpR5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2694a07450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X, Y = np.meshgrid(np.linspace(0,1,100), np.linspace(0,1,100))\n",
"fig = plt.figure(figsize=(10,10))\n",
"subplot = fig.add_subplot(2,2,1)\n",
"subplot.set_xlim([0,1])\n",
"subplot.set_ylim([0,1])\n",
"subplot.set_title('Samples from the trained model')\n",
"subplot.scatter(samples.x, samples.y, marker='o', color='blue')\n",
"\n",
"subplot = fig.add_subplot(2,2,2)\n",
"subplot.set_title('Probability distribution')\n",
"subplot.contour(X, Y, pdf, 40, extent=(0,30,0,30), cmap=plt.cm.jet)\n",
"\n",
"xs = [[x0] for x0 in np.linspace(0, 1, 400)]\n",
"pi_val, mu_val = sess.run([pi, mu], feed_dict={x: xs})\n",
"subplot = fig.add_subplot(2,2,3)\n",
"subplot.set_title('Mixture coefficients')\n",
"subplot.plot(xs, pi_val)\n",
"\n",
"subplot = fig.add_subplot(2,2,4)\n",
"subplot.set_xlim([0,1])\n",
"subplot.set_ylim([0,1])\n",
"subplot.plot(xs, mu_val)\n",
"subplot.set_title('Means of three models')\n",
"subplot.scatter(train_set.x, train_set.y, marker='o', color='blue')"
]
}
],
"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": "2.7.9"
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},
"nbformat": 4,
"nbformat_minor": 2
}
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