{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# 18- Generative Adversarial Networks\n", "\n", "by [Alejandro Correa Bahnsen](http://www.albahnsen.com/)\n", "\n", "version 1.0, July 2018\n", "\n", "## Part of the class [Applied Deep Learning](https://github.com/albahnsen/AppliedDeepLearningClass)\n", "\n", "This notebook is licensed under a [Creative Commons Attribution-ShareAlike 3.0 Unported License](http://creativecommons.org/licenses/by-sa/3.0/deed.en_US). Special thanks goes to [Rowel Atienza](https://towardsdatascience.com/gan-by-example-using-keras-on-tensorflow-backend-1a6d515a60d0) and [Diego Gomez](https://medium.com/ai-society/gans-from-scratch-1-a-deep-introduction-with-code-in-pytorch-and-tensorflow-cb03cdcdba0f) [Erik Lindernoren](https://github.com/eriklindernoren/Keras-GAN/blob/master/dcgan/dcgan.py)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generative Adversarial Networks (GAN) is one of the most promising recent developments in Deep Learning. [GAN](http://papers.nips.cc/paper/5423-generative-adversarial-nets.pdf), introduced by Ian Goodfellow in 2014, attacks the problem of unsupervised learning by training two deep networks, called Generator and Discriminator, that compete and cooperate with each other. In the course of training, both networks eventually learn how to perform their tasks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some other examples:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Output of a GAN through time, learning to Create Hand-written digits." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "[source](http://www.kdnuggets.com/2017/01/generative-adversarial-networks-hot-topic-machine-learning.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generative Adversarial Networks are composed of two models:\n", "\n", "* The first model is called a **Generator** $G(z,\\theta_1)$ and it aims to generate new data similar to the expected one, such that, the noice $z$ is mapped to the desired distribution $x$. The Generator could be asimilated to a human art forger, which creates fake works of art.\n", "\n", "* The second model is named the **Discriminator** $D(x,\\theta_2)$. This model’s goal is to recognize if an input data is ‘real’ — belongs to the original dataset — or if it is ‘fake’ — generated by a forger. In this scenario, a Discriminator is analogous to the police (or an art expert), which tries to detect artworks as truthful or fraud.\n", "\n", "How do these models interact? Paraphrasing the original paper which proposed this framework, it can be thought of the Generator as having an adversary, the Discriminator. The Generator (forger) needs to learn how to create data in such a way that the Discriminator isn’t able to distinguish it as fake anymore. The competition between these two teams is what improves their knowledge, until the Generator succeeds in creating realistic data.\n", "\n", "As a result, the Discriminator is trained to correctly classify the input data as either real or fake. This means it’s weights are updated as to maximize the probability that any real data input x is classified as belonging to the real dataset, while minimizing the probability that any fake image is classified as belonging to the real dataset. In more technical terms, the loss/error function used maximizes the function $D(x)$, and it also minimizes $D(G(z))$.\n", "\n", "Furthermore, the Generator is trained to fool the Discriminator by generating data as realistic as possible, which means that the Generator’s weight’s are optimized to maximize the probability that any fake image is classified as belonging to the real datase. Formally this means that the loss/error function used for this network maximizes $D(G(z))$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since during training both the Discriminator and Generator are trying to optimize opposite loss functions, they can be thought of two agents playing a minimax game with value function $V(G,D)$. In this minimax game, the generator is trying to maximize it’s probability of having it’s outputs recognized as real, while the discriminator is trying to minimize this same value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training a GAN\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fundamental steps to train a GAN can be described as following:\n", "\n", "1. Sample a noise set and a real-data set, each with size m.\n", "2. Train the Discriminator on this data.\n", "3. Sample a different noise subset with size m.\n", "4. Train the Generator on this data.\n", "5. Repeat from Step 1." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Example: MNIST Handwritten Digit Recognition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MNIST problem is a dataset developed by Yann LeCun, Corinna Cortes and Christopher Burges for evaluating machine learning models on the handwritten digit classification problem.\n", "\n", "The dataset was constructed from a number of scanned document dataset available from the National Institute of Standards and Technology (NIST). This is where the name for the dataset comes from, as the Modified NIST or MNIST dataset.\n", "\n", "Images of digits were taken from a variety of scanned documents, normalized in size and centered. This makes it an excellent dataset for evaluating models, allowing the developer to focus on the machine learning with very little data cleaning or preparation required.\n", "\n", "Each image is a 28 by 28 pixel square (784 pixels total). A standard spit of the dataset is used to evaluate and compare models, where 60,000 images are used to train a model and a separate set of 10,000 images are used to test it.\n", "\n", "It is a digit recognition task. As such there are 10 digits (0 to 9) or 10 classes to predict. Results are reported using prediction error, which is nothing more than the inverted classification accuracy.\n", "\n", "Excellent results achieve a prediction error of less than 1%. State-of-the-art prediction error of approximately 0.2% can be achieved with large Convolutional Neural Networks. There is a listing of the state-of-the-art results and links to the relevant papers on the MNIST and other datasets on Rodrigo Benenson’s webpage." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/al/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "['/job:localhost/replica:0/task:0/device:GPU:0']\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "import tensorflow as tf\n", "sess = tf.Session(config=tf.ConfigProto(log_device_placement=True))\n", "import keras\n", "from keras import backend as K\n", "print(K.tensorflow_backend._get_available_gpus())" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Plot ad hoc mnist instances\n", "from keras.datasets import mnist\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "import matplotlib.image as mgimg\n", "from IPython.display import HTML\n", "\n", "import os\n", "import numpy as np\n", "from tqdm import tqdm\n", "\n", "%matplotlib notebook\n", "%matplotlib notebook" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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OlLTqmlduEJFz2PiIyDlsfETkHDY+InIOGx8ROYeNj4icw8ZHRM5h4yMi57DxEZFz2PiIyDlsfETknFxuS0UhGjJkiIkXLFhgzV188cUm3rRpU2Q5EaVjypQpJp46dao1d8QRf+1bDR482JpbuXJlXvNqDvf4iMg5bHxE5JyCONQdNGiQNe7QoYOJlyxZEnU6eXHeeeeZeM2aNTFmQtS8MWPGWONJkyaZ+I8//kj5e1HeAq8l3OMjIuew8RGRc9j4iMg5BXGOL/gxeFlZmYkL9Ryf/2N+AOjZs6eJu3fvbs2JNPW0Q6J4BOvzmGOOiSmT7HGPj4icw8ZHRM4piEPd0aNHW+PVq1fHlEl4SktLrfHtt99u4jfeeMOa+/rrryPJiSiVSy+91MR33XVXyp8L1uqVV15p4p07d4afWJa4x0dEzmHjIyLnsPERkXMK4hxfcOlHMXj11VdTztXV1UWYCdHfDRw40BrPmTPHxG3btk35e0899ZQ13rZtW7iJhaTFjiIis0Vkl4is971WIiLLRaTO+94+v2kShY+17a50dqXmAhgWeG0ygCpVLQNQ5Y2JCs1csLad1OKhrqquEpEegZdHABjsxfMArAAwCSHq06ePiTt16hTmWydCc4cLy5cvjzATd8VV24WgvLzcGp988skpf3bFihUmnj9/fr5SClW2J886qWoDAHjfO4aXElGsWNsOyPuHGyJSAaAi39shihLrurBlu8e3U0RKAcD7vivVD6rqLFU9V1XPzXJbRFFKq7ZZ14Ut2z2+ZQDKAVR635eGlpFn+PDhJj722GPDfvtY+M9V+u/GErRjx44o0qGm5b22k+jEE0+0xrfddps19t9Zee/evdbco48+mr/E8iSd5SwLAawG0EtE6kVkLBqLYqiI1AEY6o2JCgpr213pfKo7KsXUkBSvExUE1ra7EnvlRq9evVLObdiwIcJMwvP000+bOLhEZ/PmzSbev39/ZDmRu3r06GHixYsXp/17L7zwgjWurq4OK6XIFN+1YERELWDjIyLnsPERkXMSe46vOUl64PYJJ5xgjYcN++vSz1tuucWau+yyy1K+zyOPPGLi4HIBonzw16r/EtGmVFVVmfi5557LW05R4R4fETmHjY+InFOQh7olJSVZ/V7fvn1NHHxWrf9hKl27drXmWrdubeKbb77ZmgveJPWXX34xcU1NjTX322+/mfjII+3/9OvWrWs2d6JcjRw50hpXVqZem/3JJ59YY//dWn766adwE4sB9/iIyDlsfETkHDY+InJOYs/x+c+Vqao19/LLL5v4gQceSPs9/R/ZB8/xHT582MQHDx605jZu3Gji2bNnW3Nr1661xitXrjRx8AHK9fX1Jg7ecYYPDad8yPaytK1bt1rjJD0MPAzc4yMi57DxEZFz2PiIyDmJPcd35513mjj4UOILL7wwq/fcvn27id955x1rrra21sSfffZZVu8fVFFhP5LhpJNOMnHwHApRPkya9NcD4vx3UW5Jc2v8igH3+IjIOWx8ROScxB7q+j3xxBNxp5CVIUNS38E8k6UFROk666yzrHFzdwTyW7rUfqbSpk2bQsspibjHR0TOYeMjIuew8RGRcwriHF8xWrJkSdwpUBH66KOPrHH79u1T/qx/2daYMWPylVIicY+PiJzDxkdEzuGhLlER6dChgzVu7mqNGTNmmPjAgQN5yymJuMdHRM5psfGJSDcRqRaRWhHZICITvNdLRGS5iNR531OfRSVKINa2u9LZ4zsMYKKqngFgAIBxItIbwGQAVapaBqDKGxMVEta2o1o8x6eqDQAavHi/iNQC6AJgBIDB3o/NA7ACwKQm3oI8/rs+n3baadZcWHeEofQVS23PmTPHxMGn/jXn008/zUc6BSGjDzdEpAeAfgBqAHTyCgeq2iAiHVP8TgWAiqbmiJIi09pmXRe2tBufiLQBsBjA3aq6L/jMilRUdRaAWd57aAs/ThS5bGqbdV3Y0mp8InIUGgtjgaq+7b28U0RKvX8RSwHsyleSxcL/0KRMDkkofwqxtoN3YLn00ktNHFy+cujQIRNPnz7dmiu2BwhlIp1PdQXAawBqVfVZ39QyAH8+Xr0cwNLg7xIlGWvbXens8f0DwK0A/isiX3qvPQCgEsC/RWQsgO0Ars9PikR5w9p2VDqf6n4CINVJj9R32iRKONa2u3jJWkwuuOACazx37tx4EqGC065dO2vcuXPnlD+7Y8cOE9977715y6nQ8Aw7ETmHjY+InMND3Qilu/aRiPKLe3xE5Bw2PiJyDhsfETmH5/jy6IMPPrDG11/PdbCUu6+//toa+++yMnDgwKjTKUjc4yMi57DxEZFzxH/HkLxvjLfvSZJ1qnpu3EkUA9Z1oqRV19zjIyLnsPERkXPY+IjIOWx8ROQcNj4icg4bHxE5h42PiJzDxkdEzmHjIyLnsPERkXOivjvLbgDbAJzoxUngai7dI9qOC5JY10Cy8okql7TqOtJrdc1GRdYm5TpR5kJhSdrfL0n5JCkXgIe6ROQgNj4ick5cjW9WTNttCnOhsCTt75ekfJKUSzzn+IiI4sRDXSJyTqSNT0SGicgmEdkiIpOj3La3/dkisktE1vteKxGR5SJS531vH1Eu3USkWkRqRWSDiEyIMx/KTZy1zbrOXGSNT0RaAZgO4HIAvQGMEpHeUW3fMxfAsMBrkwFUqWoZgCpvHIXDACaq6hkABgAY5/33iCsfylICansuWNcZiXKPrz+ALaq6VVUPAVgEYESE24eqrgKwJ/DyCADzvHgegJER5dKgqp978X4AtQC6xJUP5STW2mZdZy7KxtcFwLe+cb33Wtw6qWoD0PhHA9Ax6gREpAeAfgBqkpAPZSyJtR17HSW5rqNsfNLEa85/pCwibQAsBnC3qu6LOx/KCms7IOl1HWXjqwfQzTfuCuC7CLefyk4RKQUA7/uuqDYsIkehsTgWqOrbcedDWUtibbOumxFl41sDoExEeopIawA3AVgW4fZTWQag3IvLASyNYqMiIgBeA1Crqs/GnQ/lJIm1zbpujqpG9gVgOIDNAL4B8K8ot+1tfyGABgD/Q+O/0mMBdEDjp0x13veSiHIZiMbDof8A+NL7Gh5XPvzK+e8ZW22zrjP/4pUbROQcXrlBRM5h4yMi57DxEZFz2PiIyDlsfETkHDY+InIOGx8ROYeNj4ic8//wLdlPC/zTWAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load (downloaded if needed) the MNIST dataset\n", "(X_train, y_train), (X_test, y_test) = mnist.load_data()\n", "# plot 4 images as gray scale\n", "plt.subplot(221)\n", "plt.imshow(X_train[0], cmap=plt.get_cmap('gray'))\n", "plt.subplot(222)\n", "plt.imshow(X_train[1], cmap=plt.get_cmap('gray'))\n", "plt.subplot(223)\n", "plt.imshow(X_train[2], cmap=plt.get_cmap('gray'))\n", "plt.subplot(224)\n", "plt.imshow(X_train[3], cmap=plt.get_cmap('gray'))\n", "# show the plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((60000, 28, 28), (10000, 28, 28))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train.shape, X_test.shape" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5, 0, 4, ..., 5, 6, 8], dtype=uint8)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#expand 1 more dimention as 1 for colour channel gray\n", "X_test = X_test.reshape(X_test.shape[0], 28, 28,1)\n", "X_train = X_train.reshape(X_train.shape[0], 28, 28, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The input values which range in between [0, 255] will be normalized between -1 and 1. [useful ‘hacks’ proven to be useful for training GANs](https://github.com/soumith/ganhacks)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "X_train = (X_train.astype(np.float32) - 127.5)/127.5\n", "X_test = (X_test.astype(np.float32) - 127.5)/127.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from keras.utils import to_categorical\n", "from keras.layers import Dense, Flatten, Activation, Dropout, BatchNormalization, Input\n", "from keras.layers import Conv2D, UpSampling2D, Conv2DTranspose, Reshape, LeakyReLU\n", "from keras.layers import multiply, Embedding, ZeroPadding2D\n", "from keras.models import Sequential, Model\n", "from keras.optimizers import RMSprop, Adam\n", "from keras.callbacks import History\n", "from livelossplot import PlotLossesKeras" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# convert to one-hot encoding\n", "Y_train = to_categorical(y_train)\n", "Y_test = to_categorical(y_test)\n", "num_classes = Y_train.shape[1]\n", "y_train = y_train.reshape(-1, 1)\n", "y_test = y_test.reshape(-1, 1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# GAN\n", "\n", "## Discriminator\n", "\n", "A discriminator that tells how real an image is, is basically a deep Convolutional Neural Network (CNN). For MNIST Dataset, the input is an image (28 pixel x 28 pixel x 1 channel). The sigmoid output is a scalar value of the probability of how real the image is (0.0 is certainly fake, 1.0 is certainly real, anything in between is a gray area). The difference from a typical CNN is the absence of max-pooling in between layers. Instead, a strided convolution is used for downsampling. The activation function used in each CNN layer is a leaky ReLU. A dropout between 0.4 and 0.7 between layers prevent over fitting and memorization. \n", "\n", "" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "depth = 64\n", "input_shape = (28, 28, 1)\n", "\n", "optimizer = Adam(0.0002, 0.5)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "conv2d_1 (Conv2D) (None, 14, 14, 64) 1664 \n", "_________________________________________________________________\n", "leaky_re_lu_1 (LeakyReLU) (None, 14, 14, 64) 0 \n", "_________________________________________________________________\n", "dropout_1 (Dropout) (None, 14, 14, 64) 0 \n", "_________________________________________________________________\n", "conv2d_2 (Conv2D) (None, 7, 7, 128) 204928 \n", "_________________________________________________________________\n", "leaky_re_lu_2 (LeakyReLU) (None, 7, 7, 128) 0 \n", "_________________________________________________________________\n", "dropout_2 (Dropout) (None, 7, 7, 128) 0 \n", "_________________________________________________________________\n", "conv2d_3 (Conv2D) (None, 4, 4, 256) 819456 \n", "_________________________________________________________________\n", "leaky_re_lu_3 (LeakyReLU) (None, 4, 4, 256) 0 \n", "_________________________________________________________________\n", "dropout_3 (Dropout) (None, 4, 4, 256) 0 \n", "_________________________________________________________________\n", "conv2d_4 (Conv2D) (None, 4, 4, 512) 3277312 \n", "_________________________________________________________________\n", "leaky_re_lu_4 (LeakyReLU) (None, 4, 4, 512) 0 \n", "_________________________________________________________________\n", "dropout_4 (Dropout) (None, 4, 4, 512) 0 \n", "_________________________________________________________________\n", "flatten_1 (Flatten) (None, 8192) 0 \n", "_________________________________________________________________\n", "dense_1 (Dense) (None, 1) 8193 \n", "_________________________________________________________________\n", "activation_1 (Activation) (None, 1) 0 \n", "=================================================================\n", "Total params: 4,311,553\n", "Trainable params: 4,311,553\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "Discriminator = Sequential()\n", "\n", "# First layer\n", "Discriminator.add(Conv2D(depth*1, 5, strides=2, input_shape=input_shape, padding='same'))\n", "Discriminator.add(LeakyReLU(0.2))\n", "Discriminator.add(Dropout(0.4))\n", "\n", "# Second layer\n", "Discriminator.add(Conv2D(depth*2, 5, strides=2, padding='same'))\n", "Discriminator.add(LeakyReLU(0.2))\n", "Discriminator.add(Dropout(0.4))\n", "\n", "#Third layer\n", "Discriminator.add(Conv2D(depth*4, 5, strides=2, padding='same'))\n", "Discriminator.add(LeakyReLU(0.2))\n", "Discriminator.add(Dropout(0.4))\n", "\n", "#Fourth layer\n", "Discriminator.add(Conv2D(depth*8, 5, strides=1, padding='same'))\n", "Discriminator.add(LeakyReLU(0.2))\n", "Discriminator.add(Dropout(0.4))\n", "\n", "# Output layer\n", "Discriminator.add(Flatten())\n", "Discriminator.add(Dense(1))\n", "Discriminator.add(Activation('sigmoid'))\n", "\n", "Discriminator.summary()\n", "\n", "# Define the network\n", "img = Input(shape=input_shape)\n", "\n", "# Output\n", "validity = Discriminator(img)\n", "\n", "Discriminator = Model(img, validity)\n", "\n", "\n", "Discriminator.compile(loss='binary_crossentropy', optimizer=optimizer, metrics=['accuracy'])\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Generator\n", "\n", "The generator synthesizes fake images. The fake image is generated from a 100-dimensional noise (uniform distribution between -1.0 to 1.0) using the inverse of convolution, called transposed convolution. Instead of fractionally-strided convolution as suggested in DCGAN, upsampling between the first three layers is used since it synthesizes more realistic handwriting images. In between layers, batch normalization stabilizes learning. The activation function after each layer is a ReLU. The output of the sigmoid at the last layer produces the fake image. Dropout of between 0.3 and 0.5 at the first layer prevents overfitting.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "dim = 7\n", "depth = 256\n", "randomDim = 100" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_2 (Dense) (None, 12544) 1266944 \n", "_________________________________________________________________\n", "batch_normalization_1 (Batch (None, 12544) 50176 \n", "_________________________________________________________________\n", "activation_2 (Activation) (None, 12544) 0 \n", "_________________________________________________________________\n", "reshape_1 (Reshape) (None, 7, 7, 256) 0 \n", "_________________________________________________________________\n", "dropout_5 (Dropout) (None, 7, 7, 256) 0 \n", "_________________________________________________________________\n", "up_sampling2d_1 (UpSampling2 (None, 14, 14, 256) 0 \n", "_________________________________________________________________\n", "conv2d_transpose_1 (Conv2DTr (None, 14, 14, 128) 819328 \n", "_________________________________________________________________\n", "batch_normalization_2 (Batch (None, 14, 14, 128) 512 \n", "_________________________________________________________________\n", "activation_3 (Activation) (None, 14, 14, 128) 0 \n", "_________________________________________________________________\n", "up_sampling2d_2 (UpSampling2 (None, 28, 28, 128) 0 \n", "_________________________________________________________________\n", "conv2d_transpose_2 (Conv2DTr (None, 28, 28, 64) 204864 \n", "_________________________________________________________________\n", "batch_normalization_3 (Batch (None, 28, 28, 64) 256 \n", "_________________________________________________________________\n", "activation_4 (Activation) (None, 28, 28, 64) 0 \n", "_________________________________________________________________\n", "conv2d_transpose_3 (Conv2DTr (None, 28, 28, 32) 51232 \n", "_________________________________________________________________\n", "batch_normalization_4 (Batch (None, 28, 28, 32) 128 \n", "_________________________________________________________________\n", "activation_5 (Activation) (None, 28, 28, 32) 0 \n", "_________________________________________________________________\n", "conv2d_transpose_4 (Conv2DTr (None, 28, 28, 1) 801 \n", "_________________________________________________________________\n", "activation_6 (Activation) (None, 28, 28, 1) 0 \n", "=================================================================\n", "Total params: 2,394,241\n", "Trainable params: 2,368,705\n", "Non-trainable params: 25,536\n", "_________________________________________________________________\n" ] } ], "source": [ "Generator = Sequential()\n", "\n", "# First layer\n", "Generator.add(Dense(dim*dim*depth, input_dim=randomDim))\n", "Generator.add(BatchNormalization(momentum=0.9))\n", "Generator.add(Activation('relu'))\n", "Generator.add(Reshape((dim, dim, depth)))\n", "Generator.add(Dropout(0.4))\n", "\n", "# Second layer\n", "Generator.add(UpSampling2D())\n", "Generator.add(Conv2DTranspose(int(depth/2), 5, padding='same'))\n", "Generator.add(BatchNormalization(momentum=0.9))\n", "Generator.add(Activation('relu'))\n", "\n", "# Third layer\n", "Generator.add(UpSampling2D())\n", "Generator.add(Conv2DTranspose(int(depth/4), 5, padding='same'))\n", "Generator.add(BatchNormalization(momentum=0.9))\n", "Generator.add(Activation('relu'))\n", "\n", "# Fourth layer\n", "Generator.add(Conv2DTranspose(int(depth/8), 5, padding='same'))\n", "Generator.add(BatchNormalization(momentum=0.9))\n", "Generator.add(Activation('relu'))\n", "\n", "# Fifth layer\n", "Generator.add(Conv2DTranspose(1, 5, padding='same'))\n", "Generator.add(Activation('tanh'))\n", "\n", "Generator.summary()\n", "\n", "# Create network\n", "noise = Input(shape=(randomDim,))\n", "img = Generator(noise)\n", "\n", "Generator = Model(noise, img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adversarial model\n", "\n", "The adversarial model is just the generator-discriminator stacked together The Generator part is trying to fool the Discriminator and learning from its feedback at the same time. The training parameters are the same as in the Discriminator model except for a reduced learning rate and corresponding weight decay.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "input_3 (InputLayer) (None, 100) 0 \n", "_________________________________________________________________\n", "model_2 (Model) (None, 28, 28, 1) 2394241 \n", "_________________________________________________________________\n", "model_1 (Model) (None, 1) 4311553 \n", "=================================================================\n", "Total params: 6,705,794\n", "Trainable params: 2,368,705\n", "Non-trainable params: 4,337,089\n", "_________________________________________________________________\n" ] } ], "source": [ "# The generator takes noise as input and generates imgs\n", "noise = Input(shape=(randomDim,))\n", "img = Generator(noise)\n", "\n", "# For the combined model we will only train the generator\n", "Discriminator.trainable = False\n", "\n", "# The discriminator takes generated image as input and determines validity\n", "valid = Discriminator(img)\n", "\n", "# The combined model (stacked generator and discriminator)\n", "# Trains the generator to fool the discriminator\n", "dcgan = Model(noise, valid)\n", "dcgan.compile(loss='binary_crossentropy', optimizer=optimizer)\n", "\n", "dcgan.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training\n", "\n", "Training is the hardest part. We determine first if Discriminator model is correct by training it alone with real and fake images. Afterwards, the Discriminator and Adversarial models are trained one after the other." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Create a wall of generated MNIST images\n", "def plotGeneratedImages(epoch, noise, examples=100, dim=(10, 10), figsize=(10, 10)):\n", " \n", " generatedImages = Generator.predict(noise_plots) * 0.5 + 0.5\n", "\n", " plt.figure(figsize=figsize)\n", " for i in range(generatedImages.shape[0]):\n", " plt.subplot(dim[0], dim[1], i+1)\n", " plt.imshow(generatedImages[i,:,:,0], cmap='gray')\n", " plt.axis('off')\n", "# plt.tight_layout()\n", " plt.savefig(\"images/gan_images/mnist_%d.png\" % epoch)\n", " plt.close()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def train_epoch():\n", " \n", " # Adversarial ground truths\n", " valid = np.ones((batchSize, 1))\n", " fake = np.zeros((batchSize, 1))\n", " \n", " # Get a random set of input noise and images\n", " noise = np.random.normal(0, 1, size=[batchSize, randomDim])\n", " idx = np.random.randint(0, X_train.shape[0], size=batchSize)\n", " imageBatch = X_train[idx]\n", "\n", " # Generate fake MNIST images\n", " generatedImages = Generator.predict(noise)\n", "\n", " # Train the discriminator\n", " Discriminator.trainable = True\n", " d_loss_real = Discriminator.train_on_batch(imageBatch, valid)\n", " d_loss_fake = Discriminator.train_on_batch(generatedImages, fake)\n", " d_loss = 0.5 * np.add(d_loss_real, d_loss_fake)\n", " Discriminator.trainable = False\n", "\n", " # Train the generator\n", " g_loss = dcgan.train_on_batch(noise, valid)\n", "\n", " return d_loss, g_loss" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "batchSize = 32\n", "epochs = 4000\n", "save_interval = 50" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# For plots\n", "noise_plots = np.random.normal(0, 1, size=[100, randomDim])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 4000/4000 [25:31<00:00, 2.61it/s]\n" ] } ], "source": [ "Dloss, Gloss = [], []\n", "for epoch in tqdm(range(epochs)):\n", " d_loss, g_loss = train_epoch()\n", " Dloss.append(d_loss)\n", " Gloss.append(g_loss)\n", "\n", " # If at save interval => save generated image samples\n", " if epoch % save_interval == 0:\n", " plotGeneratedImages(epoch, noise_plots)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot results" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "images = os.listdir('images/gan_images/')\n", "images = sorted(images)\n", "\n", "\n", "fig = plt.figure(figsize=(8, 8))\n", "\n", "ims = []\n", "for image in images:\n", " img = mgimg.imread(os.path.join('images', 'gan_images', image))\n", " imgplot = plt.imshow(img)\n", " ims.append([imgplot])\n", " plt.axis('off')\n", " \n", "ani = animation.ArtistAnimation(fig, ims, interval=1000, blit=True,\n", " repeat_delay=1000)\n", "HTML(ani.to_jshtml())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# More on GANs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }