{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "id": "zvjOZnwtzSKw" }, "outputs": [], "source": [ "# simple generative adversarial network\n", "# this version uses simple images, the MNIST dataset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": {}, "colab_type": "code", "id": "3mdiwPBezSK3" }, "outputs": [], "source": [ "# conventional PyTorch imports\n", "import torch\n", "import torch.nn as nn\n", "#import torch.nn.functional as F\n", "from torch.utils.data import Dataset, DataLoader" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": {}, "colab_type": "code", "id": "vmmN8fQozSK7" }, "outputs": [], "source": [ "import random\n", "import pandas" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": {}, "colab_type": "code", "id": "D6MmZvvezSK_" }, "outputs": [], "source": [ "import numpy\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "xogZ7pawzSLB", "outputId": "3876a551-0f95-4d2a-f019-ee32bbbd8524" }, "outputs": [ { "data": { "text/plain": [ "tensor([-1.1572, 0.8475, -1.2456, -0.4900, -0.1101])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# function to generate uniform random data\n", "# size parameter is length of tensor\n", "\n", "def generate_random(size):\n", " #return torch.rand(size)\n", " return torch.randn(size)\n", "\n", "generate_random(5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": {}, "colab_type": "code", "id": "0BggwEFtzSLG" }, "outputs": [], "source": [ "# dataset class\n", "\n", "class MnistDataset(torch.utils.data.Dataset):\n", " \n", " def __init__(self, csv_file):\n", " self.data_df = pandas.read_csv(csv_file, header=None)\n", " pass\n", " \n", " def __len__(self):\n", " return len(self.data_df)\n", " \n", " def __getitem__(self, index):\n", " # image target (label)\n", " label = self.data_df.iloc[index,0]\n", " image_target = torch.zeros((10))\n", " image_target[label] = 1.0\n", " \n", " # image data, normalised from 0-255 to 0-1\n", " image_values = torch.FloatTensor(self.data_df.iloc[index,1:].values) / 255.0\n", " \n", " # return label, image data tensor and target tensor\n", " return label, image_values, image_target\n", " \n", " def plot_image(self, index):\n", " arr = self.data_df.iloc[index,1:].values.reshape(28,28)\n", " plt.title(\"label = \" + str(self.data_df.iloc[index,0]))\n", " plt.imshow(arr, interpolation='none', cmap='Blues')\n", " pass\n", " \n", " pass\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": {}, "colab_type": "code", "id": "4GqJcz5TzSLJ" }, "outputs": [], "source": [ "# subclass PyTorch dataset class, loads actual data, parses it into targets and pizel data\n", "\n", "mnist_dataset = MnistDataset('mnist_data/mnist_test.csv')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "colab_type": "code", "id": "OK4ZBU-azSLL", "outputId": "40b47753-a2d6-4c9d-eeb4-e8f20d9f920e" }, "outputs": [ { "data": { "image/png": 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3AHtuK1/pe1fSVyWqCP904IURrzdS4RswigAekPSkpEVVNzOKqRExCMP/mIDDK+5nb2Petr2T9rqtfNe8d43c7r7Vqgj/aLf+6qb9jXMj4hTgTOCS4uOt1aeu27Z3yii3le8Kjd7uvtWqCP9GoG/E6yOBTRX0MaqI2FQ8bwHuoftuPb55zx2Si+ctFffzc9102/bRbitPF7x33XS7+yrC/wQwS9K7JB0AnA/cV0EfbyHpoOKHGCQdBHyE7rv1+H3AwmJ4IXBvhb28Sbfctr3WbeWp+L3rttvdV3KEX7Er4xvABGBpRFzT8SZGIelohrf2MHxZ89uq7E3S7cA8hk/53AxcBfwjcCdwFPA8cF5EdPyHtxq9zWP4o+vPb9u+5zt2h3s7DfgR8DSwuxh9JcPfryt770r6WkAF75sP7zVLykf4mSXl8Jsl5fCbJeXwmyXl8Jsl5fCbJeXwmyX1/4yyUpFyp3e7AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mnist_dataset.plot_image(0)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": {}, "colab_type": "code", "id": "pdCw63-UzSLO" }, "outputs": [], "source": [ "# from https://github.com/pytorch/vision/issues/720\n", "\n", "class View(nn.Module):\n", " def __init__(self, shape):\n", " super().__init__()\n", " self.shape = shape\n", "\n", " def forward(self, x):\n", " return x.view(*self.shape)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": {}, "colab_type": "code", "id": "ls8s9isJzSLP" }, "outputs": [], "source": [ "# discriminator class\n", "\n", "class Discriminator(nn.Module):\n", " \n", " def __init__(self):\n", " # initialise parent pytorch class\n", " super().__init__()\n", " \n", " # define neural network layers\n", " self.model = nn.Sequential(\n", " View((1, 784)),\n", " nn.Linear(784, 200),\n", " nn.Sigmoid(),\n", " nn.Linear(200, 1),\n", " nn.Sigmoid()\n", " )\n", " \n", " # create error function\n", " self.error_function = torch.nn.BCELoss()\n", "\n", " # create optimiser, using simple stochastic gradient descent\n", " self.optimiser = torch.optim.SGD(self.parameters(), lr=0.01)\n", " \n", " # counter and accumulator for progress\n", " self.counter = 0;\n", " self.progress = []\n", " pass\n", " \n", " \n", " def forward(self, inputs):\n", " # simply run model\n", " return self.model(inputs)\n", " \n", " \n", " def train(self, inputs, targets):\n", " # calculate the output of the network\n", " outputs = self.forward(inputs)\n", " \n", " # calculate error\n", " loss = self.error_function(outputs, targets)\n", " \n", " # increase counter and accumulate error every 10\n", " self.counter += 1;\n", " if (self.counter % 10 == 0):\n", " self.progress.append(loss.item())\n", " pass\n", " \n", "\n", " # zero gradients, perform a backward pass, and update the weights.\n", " self.optimiser.zero_grad()\n", " loss.backward()\n", " self.optimiser.step()\n", "\n", " pass\n", " \n", " def save(self, path):\n", " torch.save(self.state_dict(), path)\n", " pass\n", " \n", " \n", " def load(self, path):\n", " self.load_state_dict(torch.load(path))\n", " #self.eval()\n", " pass\n", " \n", " \n", " def plot_progress(self):\n", " df = pandas.DataFrame(self.progress, columns=['loss'])\n", " df.plot(ylim=(0, 1.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0, 0.25, 0.5))\n", " pass\n", " \n", " pass" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 408 }, "colab_type": "code", "id": "VyT40A7FzSLS", "outputId": "ca5e07e4-a922-4ad0-cb08-7bfd9afe101d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training epoch 1 of 1\n" ] } ], "source": [ "# create Discriminator and test it\n", "\n", "D = Discriminator()\n", "\n", "# train Discriminator\n", "\n", "epochs = 1\n", "\n", "for i in range(epochs):\n", " print('training epoch', i+1, \"of\", epochs)\n", " \n", " for label, image_data_tensor, target_tensor in mnist_dataset:\n", " \n", " # train discriminator on real data\n", " D.train(image_data_tensor.view(1, 1, 28, 28), torch.FloatTensor([1.0]).view(1,1))\n", " \n", " # train discriminator on false (random) data\n", " D.train(generate_random(784).view(1, 1, 28, 28), torch.FloatTensor([0.0]).view(1,1))\n", " \n", " pass\n", " \n", " pass\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 486 }, "colab_type": "code", "id": "xN2NpQN8zSLV", "outputId": "c0f52a8d-eeff-43bd-bca0-744d99307b3c" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot discriminator error\n", "\n", "D.plot_progress()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 153 }, "colab_type": "code", "id": "mQwesg7ezSLY", "outputId": "494dd20a-a0c9-4f7f-d157-14e1be37e925" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.7451091480324976e-05\n", "7.993968029040843e-05\n", "0.010333934798836708\n", "0.07996287941932678\n", "0.9998621940612793\n", "0.999036431312561\n", "0.471552312374115\n", "0.9985116124153137\n" ] } ], "source": [ "# manually check D can indeed discriminate between real and fake data\n", "\n", "print(D.forward(generate_random(784).view(1, 1, 28, 28)).item())\n", "print(D.forward(generate_random(784).view(1, 1, 28, 28)).item())\n", "print(D.forward(generate_random(784).view(1, 1, 28, 28)).item())\n", "print(D.forward(generate_random(784).view(1, 1, 28, 28)).item())\n", "\n", "print(D.forward(mnist_dataset[random.randint(0,10000)][1].view(1, 1, 28, 28)).item())\n", "print(D.forward(mnist_dataset[random.randint(0,10000)][1].view(1, 1, 28, 28)).item())\n", "print(D.forward(mnist_dataset[random.randint(0,10000)][1].view(1, 1, 28, 28)).item())\n", "print(D.forward(mnist_dataset[random.randint(0,10000)][1].view(1, 1, 28, 28)).item())\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": {}, "colab_type": "code", "id": "l1FuwCbFzSLa" }, "outputs": [], "source": [ "# generator class\n", "\n", "class Generator(nn.Module):\n", " \n", " def __init__(self):\n", " # initialise parent pytorch class\n", " super().__init__()\n", " \n", " # define neural network layers\n", " self.model = nn.Sequential(\n", " View((1,100)),\n", " \n", " nn.Linear(100, 500),\n", " nn.Sigmoid(),\n", " \n", " nn.Linear(500, 784),\n", " nn.Sigmoid(),\n", " \n", " View((1,1,28,28))\n", " )\n", " \n", " # create error function\n", " self.error_function = torch.nn.BCELoss()\n", "\n", " # create optimiser, using simple stochastic gradient descent\n", " self.optimiser = torch.optim.SGD(self.parameters(), lr=0.01)\n", " \n", " # counter and accumulator for progress\n", " self.counter = 0;\n", " self.progress = []\n", " pass\n", " \n", " \n", " def forward(self, inputs):\n", " # simply run model\n", " return self.model(inputs)\n", " \n", " \n", " def train(self, D, inputs, targets):\n", " # calculate the output of the network\n", " g_output = self.forward(inputs)\n", " \n", " # pass onto Discriminator\n", " d_output = D.forward(g_output)\n", " \n", " # calculate error\n", " loss = D.error_function(d_output, targets)\n", " \n", " # increase counter and accumulate error every 10\n", " self.counter += 1;\n", " if (self.counter % 10 == 0):\n", " self.progress.append(loss.item())\n", " pass\n", " if (self.counter % 1000 == 0):\n", " print(\"counter = \", self.counter)\n", " pass\n", "\n", " # zero gradients, perform a backward pass, and update the weights.\n", " self.optimiser.zero_grad()\n", " loss.backward()\n", " self.optimiser.step()\n", " pass\n", " \n", " \n", " def save(self, path):\n", " torch.save(self.state_dict(), path)\n", " pass\n", " \n", " \n", " def load(self, path):\n", " self.load_state_dict(torch.load(path))\n", " #self.eval()\n", " pass\n", " \n", " \n", " def plot_images(self):\n", " # plot a 3 column, 2 row array of sample images\n", " f, axarr = plt.subplots(2,3, figsize=(16,8))\n", " for i in range(2):\n", " for j in range(3):\n", " axarr[i,j].imshow(G.forward(generate_random(100).view(1,1,10,10)).detach().cpu().numpy().reshape(28,28), interpolation='none', cmap='Blues')\n", " pass\n", " pass\n", " pass\n", " \n", " def plot_progress(self):\n", " df = pandas.DataFrame(self.progress, columns=['loss'])\n", " df.plot(ylim=(0, 2.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0, 0.25, 0.5))\n", " pass\n", " \n", " pass" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 520 }, "colab_type": "code", "id": "PL3RiTOqzSLc", "outputId": "ccc5c95d-7598-42a1-f349-9974431f646c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([1, 1, 28, 28])\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# scratch\n", "\n", "G = Generator()\n", "\n", "print(G(generate_random(100).view(1, 1, 10, 10)).shape)\n", "\n", "plt.figure(figsize = (16,8))\n", "plt.imshow(G.forward(generate_random(100).view(1,1,10,10)).view(28,28).detach().cpu().numpy(), \n", " interpolation='none',\n", " cmap='Blues')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 272 }, "colab_type": "code", "id": "fXmgrdyQzSLe", "outputId": "2132f68c-7055-449e-8399-d453f4380918" }, "outputs": [], "source": [ "# create Discriminator and Generator\n", "\n", "D = Discriminator()\n", "G = Generator()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 928 }, "colab_type": "code", "id": "0MHNjRPpzSLf", "outputId": "4cecb677-a33f-4ddb-950a-e2f6bb8c1a89" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training epoch 1 of 1\n", "counter = 1000\n", "counter = 2000\n", "counter = 3000\n", "counter = 4000\n", "counter = 5000\n", "counter = 6000\n", "counter = 7000\n", "counter = 8000\n", "counter = 9000\n", "counter = 10000\n" ] } ], "source": [ "# train Discriminator and Generator\n", "\n", "epochs = 1\n", "\n", "for i in range(epochs):\n", " print('training epoch', i+1, \"of\", epochs)\n", " \n", " for label, image_data_tensor, target_tensor in mnist_dataset:\n", " \n", " # train discriminator on real data\n", " D.train(image_data_tensor.view(1, 1, 28, 28), torch.FloatTensor([1.0]).view(1,1))\n", "\n", " # train discriminator on false\n", " # use detach() so only D is updated, not G\n", " D.train(G.forward(generate_random(100).view(1, 1, 10, 10)).detach(), torch.FloatTensor([0.0]).view(1,1))\n", " \n", " # train generator\n", " G.train(D, generate_random(100).view(1, 1, 10, 10), torch.FloatTensor([1.0]).view(1,1))\n", " \n", " pass\n", " \n", " pass\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 486 }, "colab_type": "code", "id": "8nRUfpRhzSLh", "outputId": "13e066eb-ba65-4b23-c343-8fb404b5899e" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot discriminator error\n", "\n", "D.plot_progress()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot generator error\n", "\n", "G.plot_progress()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 486 }, "colab_type": "code", "id": "CJBbBXGSzSLj", "outputId": "2f82fdfb-6ccb-4dc0-eb14-bf1e70b818f7" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show generator output\n", "\n", "G.plot_images()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 503 }, "colab_type": "code", "id": "kTxIkGa7zSLl", "outputId": "85a7e610-9c4b-4be3-8b2f-2bc712a1dd68" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## expts\n", "\n", "seed = torch.zeros(100)\n", "seed[random.randint(0,99)] = 1\n", "\n", "plt.figure(figsize = (16,8))\n", "plt.imshow(G.forward(seed.view(1,1,10,10)).view(28,28).detach().cpu().numpy(), \n", " interpolation='none',\n", " cmap='Blues')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [], "name": "03_image_gan_cuda.ipynb", "provenance": [], "version": "0.3.2" }, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }