04_02_wgan_camel_train.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# WGAN Camel Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch as t\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "from torch.utils.data import TensorDataset, DataLoader\n",
    "from models.GAN import build_generator, build_critic\n",
    "\n",
    "# download your full_numpy_bitmap_camel.npy from below. unfortunately it requires license agreement so I can't automate for you\n",
    "# https://console.cloud.google.com/storage/browser/quickdraw_dataset/full/numpy_bitmap?pli=1\n",
    "\n",
    "camel_file = 'data/camel/full_numpy_bitmap_camel.npy'\n",
    "X = t.from_numpy(np.load(camel_file)[:25000]).float()\n",
    "X = X.view(25000, 1, 28, 28) / 255\n",
    "\n",
    "bs = 64\n",
    "z_dim = 100\n",
    "\n",
    "generator = build_generator(gen_init_size=(64, 7, 7), gen_upsample_flags=[True, True, False, False],\n",
    "                            gen_c=[128, 64, 64, 1],gen_ks=[5, 5, 5, 5], gen_strides=[1, 1, 1, 1],\n",
    "                            gen_pads=[2, 2, 2, 2], z_dim=z_dim)\n",
    "\n",
    "critic = build_critic(X[0][None], critic_c=[1, 64, 64, 128, 128], critic_ks=[5, 5, 5, 5],\n",
    "                      critic_strides=[2, 2, 2, 1], critic_pads=[2, 2, 2, 2], wgan=True)\n",
    "\n",
    "g_opt = t.optim.RMSprop(generator.parameters(), lr=.00005)\n",
    "c_opt = t.optim.RMSprop(critic.parameters(), lr=.00005)\n",
    "device = t.device('cuda') if t.cuda.is_available() else 'cpu'\n",
    "generator.cuda(device)\n",
    "critic.cuda(device)\n",
    "\n",
    "train_loader = DataLoader(TensorDataset(X, X), batch_size=bs, shuffle=True, drop_last=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 300/300 [4:57:12<00:00, 59.50s/it]  \n"
     ]
    }
   ],
   "source": [
    "imgs_at_epochs = {50: [], 100: [], 150: [], 200: [], 250: [], 300: []}\n",
    "\n",
    "for epoch in tqdm(range(1, 301)):\n",
    "    for i, (imgs, _) in enumerate(train_loader):\n",
    "        # train critic\n",
    "        real_imgs = imgs.to(device)\n",
    "        randn = t.randn(bs, z_dim)\n",
    "        gen_imgs = generator(randn.to(device))\n",
    "\n",
    "        c_opt.zero_grad()\n",
    "        ri_pred = critic(real_imgs)\n",
    "        gi_pred = critic(gen_imgs)\n",
    "        c_loss = (-t.mean(ri_pred) + t.mean(gi_pred)) / 2\n",
    "        c_loss.backward()\n",
    "        c_opt.step()\n",
    "\n",
    "        # clip discriminator weights\n",
    "        for p in critic.parameters():\n",
    "            p.data.clamp_(-.01, .01)\n",
    "\n",
    "        # train generator\n",
    "        if i % 5 == 0:\n",
    "            gen_imgs = generator(randn.to(device))\n",
    "            g_opt.zero_grad()\n",
    "            gi_critic_pred = critic(gen_imgs)\n",
    "            g_loss = -t.mean(gi_critic_pred)\n",
    "            g_loss.backward()\n",
    "            g_opt.step()\n",
    "\n",
    "    if epoch in imgs_at_epochs:\n",
    "        imgs_at_epochs[epoch].extend(generator(t.randn(10, z_dim).to(device)))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "t.save(generator.state_dict(), 'models/state_dicts/04_02_camel_gen.pth')\n",
    "t.save(critic.state_dict(), 'models/state_dicts/04_02_camel_critic.pth')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_imgs(imgs):\n",
    "    row, col = 3, 3,\n",
    "    f, axarr = plt.subplots(row, col, figsize=(10, 10))\n",
    "    i = 0\n",
    "    for r in range(row):\n",
    "        for c in range(col):\n",
    "            axarr[r, c].imshow(imgs[i].detach().cpu().squeeze())\n",
    "            i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imgs(imgs_at_epochs[50])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imgs(imgs_at_epochs[100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imgs(imgs_at_epochs[200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imgs(imgs_at_epochs[300])"
   ]
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}