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@tushuhei
Created July 6, 2016 22:16
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{
"cells": [
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from keras import backend as K\n",
"from keras import callbacks\n",
"from keras import objectives\n",
"from keras.datasets import mnist\n",
"from keras.layers import Input, Dense, Lambda, merge\n",
"from keras.models import Model\n",
"from keras.optimizers import RMSprop\n",
"from keras.utils import np_utils\n",
"from keras.utils.visualize_util import plot\n",
"from matplotlib import pyplot as plt\n",
"from IPython.display import Image\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import pydot\n",
"\n",
"np.random.seed(0) # for reproducibility"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"image_size = 28\n",
"latent1_dim = 512\n",
"latent2_dim = 512\n",
"z_dim = 128\n",
"batch_size = 100\n",
"epsilon_std = 1.\n",
"n_labels = 10\n",
"kl_anneal_lambda = K.variable(1.)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def sampling(args):\n",
" z_mean, z_log_std = args\n",
" epsilon = K.random_normal(shape=(z_dim,),\n",
" mean=0., std=epsilon_std)\n",
" return z_mean + K.exp(z_log_std) * epsilon"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def vae_loss(x, x_decoded_mean):\n",
" xent_loss = objectives.binary_crossentropy(x, x_decoded_mean)\n",
" kl_loss = - 0.5 * K.mean(1 + z_log_std - K.square(z_mean) - K.exp(z_log_std), axis=-1)\n",
" return xent_loss + kl_anneal_lambda * kl_loss"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def anneal_schedule(epoch):\n",
" return 1.\n",
" #return min(epoch * 0.5, 1.)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class AneelingCallback(callbacks.Callback):\n",
" def __init__(self, schedule, variable):\n",
" super(AneelingCallback, self).__init__()\n",
" self.schedule = schedule\n",
" self.variable = variable\n",
" \n",
" def on_epoch_begin(self, epoch, logs={}):\n",
" value = self.schedule(epoch)\n",
" assert type(value) == float, (\n",
" 'The output of the \"schedule\" function should be float.')\n",
" K.set_value(self.variable, value)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"x_train = x_train.astype('float32') / 255.\n",
"x_test = x_test.astype('float32') / 255.\n",
"x_train = x_train.reshape((len(x_train), np.prod(x_train.shape[1:])))\n",
"x_test = x_test.reshape((len(x_test), np.prod(x_test.shape[1:])))\n",
"y_train = np_utils.to_categorical(y_train)\n",
"y_test = np_utils.to_categorical(y_test)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"x = Input(shape=(image_size * image_size,), name='x')\n",
"y = Input(shape=(n_labels,), name='y')\n",
"merged = merge([x, y], mode='concat')\n",
"encoded = Dense(latent1_dim, activation='relu', name='encoder_hidden1')(merged)\n",
"encoded = Dense(latent2_dim, activation='relu', name='encoder_hidden2')(encoded)\n",
"z_mean = Dense(z_dim, name='z_mean')(encoded)\n",
"z_log_std = Dense(z_dim, name='z_log_std')(encoded)\n",
"\n",
"z = Lambda(sampling, name='z_sample')([z_mean, z_log_std])\n",
"decoder_h2 = Dense(latent2_dim, activation='relu', name='decoder_hidden2')\n",
"decoder_h1 = Dense(latent1_dim, activation='relu', name='decoder_hidden1')\n",
"decoder_x = Dense(image_size * image_size, activation='sigmoid', name='reconstructed_x')\n",
"\n",
"dec_merged = merge([z, y], mode='concat')\n",
"h_decoded = decoder_h2(dec_merged)\n",
"h_decoded = decoder_h1(h_decoded)\n",
"x_decoded = decoder_x(h_decoded)\n",
"\n",
"vae = Model([x, y], x_decoded)\n",
"vae.compile(optimizer='rmsprop', loss=vae_loss)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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DjYiIVIfhRkREqsNwIyIi1WG4ERGR6jDciIhIdRhuRESkOgw3IiJSHYYbERGp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\nAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(vae, to_file='model.png')\n",
"Image(filename='model.png')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"encoder = Model([x, y], z_mean)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sXLmyhqsjO7aDh2lkk9///vcwGAwwGo2lPoqKigAA48ePV7lSsjcMI7JJSEgI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\nrkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(encoder, to_file='encoder.png')\n",
"Image(filename='encoder.png')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"y_hat = Input(shape=(n_labels,), name='y_hat')\n",
"z_hat = Input(shape=(z_dim,), name='z_hat')\n",
"_merged_hat = merge([z_hat, y_hat], mode='concat')\n",
"_h_decoded = decoder_h2(_merged_hat)\n",
"_h_decoded = decoder_h1(_h_decoded)\n",
"_x_decoded = decoder_x(_h_decoded)\n",
"generator = Model([z_hat, y_hat], _x_decoded)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Tn/DQQw/xbKmOiomJQXBwMF5++WW8++67qsuhasDwvQ+99tpryMjIwBtvvAFHR0dMmjRJ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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(generator, to_file='decoder.png')\n",
"Image(filename='decoder.png')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train on 60000 samples, validate on 10000 samples\n",
"Epoch 1/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2503 - val_loss: 0.2291\n",
"Epoch 2/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2247 - val_loss: 0.2243\n",
"Epoch 3/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2176 - val_loss: 0.2119\n",
"Epoch 4/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2129 - val_loss: 0.2098\n",
"Epoch 5/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2125 - val_loss: 0.2067\n",
"Epoch 6/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2105 - val_loss: 0.2115\n",
"Epoch 7/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2079 - val_loss: 0.2059\n",
"Epoch 8/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2065 - val_loss: 0.2033\n",
"Epoch 9/30\n",
"60000/60000 [==============================] - 11s - loss: 0.2016 - val_loss: 0.1961\n",
"Epoch 10/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1967 - val_loss: 0.1974\n",
"Epoch 11/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1930 - val_loss: 0.1898\n",
"Epoch 12/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1894 - val_loss: 0.1884\n",
"Epoch 13/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1871 - val_loss: 0.1876\n",
"Epoch 14/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1852 - val_loss: 0.1812\n",
"Epoch 15/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1839 - val_loss: 0.1848\n",
"Epoch 16/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1826 - val_loss: 0.1803\n",
"Epoch 17/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1819 - val_loss: 0.1789\n",
"Epoch 18/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1803 - val_loss: 0.1778\n",
"Epoch 19/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1795 - val_loss: 0.1779\n",
"Epoch 20/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1792 - val_loss: 0.1779\n",
"Epoch 21/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1784 - val_loss: 0.1763\n",
"Epoch 22/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1779 - val_loss: 0.1754\n",
"Epoch 23/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1773 - val_loss: 0.1763\n",
"Epoch 24/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1768 - val_loss: 0.1749\n",
"Epoch 25/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1764 - val_loss: 0.1749\n",
"Epoch 26/30\n",
"60000/60000 [==============================] - 12s - loss: 0.1764 - val_loss: 0.1785\n",
"Epoch 27/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1760 - val_loss: 0.1752\n",
"Epoch 28/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1756 - val_loss: 0.1777\n",
"Epoch 29/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1754 - val_loss: 0.1768\n",
"Epoch 30/30\n",
"60000/60000 [==============================] - 11s - loss: 0.1749 - val_loss: 0.1769\n"
]
},
{
"data": {
"text/plain": [
"<keras.callbacks.History at 0x7fcaa045ef90>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"vae.fit([x_train, y_train], x_train,\n",
" shuffle=True,\n",
" nb_epoch=30,\n",
" batch_size=batch_size,\n",
" validation_data=([x_test, y_test], x_test),\n",
" callbacks=[AneelingCallback(anneal_schedule, kl_anneal_lambda)])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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qFL/wC7/Au971LoaGhlSAno4E3pd0zLbXu8lvdOOXUb7rHd84kykWiyQSCcbHx/mTP/kT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcab03ae250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"n_case = 3\n",
"reconst_x = vae.predict([x_test[:n_case], y_test[:n_case]])\n",
"for case in range(n_case):\n",
" plt.subplot(n_case, 2, case * 2 + 1)\n",
" plt.imshow(x_test[case].reshape(image_size, image_size))\n",
" plt.subplot(n_case, 2, case * 2 + 2)\n",
" plt.imshow(reconst_x[case].reshape(image_size, image_size))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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CSqXS4q/ed999+K//+i8WbKOEEVUYiW48NDTE/oqUedLLAK5nQ6j9fv/vA8gHAoG/2OPH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EsbZ8Ui2vosSzk3dONMxhboESJzxHG/Qo+a6c46kUPdOJM6MtFNZX1KlFfsgb6+Pjo6OlQTwVo6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\nazAY2HgoMsr2oRHZDjRtnMmyPA/gVAvv5cBAeac2mw2vvPIKLl26hNtvv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upc+ClVqeZS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lyfO76n20DWzPW5zzjTXV8L3sw9zdzTzPVp7mn7dk9r5YYgr9U07QyAX0IxjPi6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\ntTGFeqby92wQxRTJzs5OeL1eeL1eDAwMoL+/XxwM+tlp2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ky75ZpU0wwoO+qcJCrXfPDg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\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gnxeyHrIPB9yesV/j7NWqqs4oihJB+Q9yRVXVH9bjwQ4SJN9qtWJ0dBQvvvgifvazn+HZ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dKp0VJ+ONNKDc72M0qt+hWjN633M9qghOIF8/Pzki1dXV2VQNdsNsNisciFXwrFrFqg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\nMCh1PHukAYjQTnmm12A+n8fMzAwmJyeRSCRQKpXQ2dkpeorQQ8LV6ZyZ4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caUPDAz27wf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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fca8c732b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_case = 8\n",
"fig = plt.figure(figsize=(n_labels * 1.5, n_case * 1.5))\n",
"plt.axis('off')\n",
"for i in range(n_case):\n",
" plt.subplot(n_case, n_labels + 1, (n_labels + 1) * i + 1)\n",
" plt.imshow(x_test[i].reshape(image_size, image_size))\n",
"z_samples = encoder.predict([x_test[:n_case], y_test[:n_case]])\n",
"for label in range(n_labels):\n",
" reconst = generator.predict([\n",
" z_samples,\n",
" np_utils.to_categorical([label for i in range(n_case)], n_labels)])\n",
" for i in range(n_case):\n",
" plt.subplot(n_case, n_labels + 1, (n_labels + 1) * i + label + 2)\n",
" plt.imshow(reconst[i].reshape(image_size, image_size))\n",
" "
]
}
],
"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": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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