NotMNIST - ConvVAE.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os.path\n",
    "\n",
    "import torch\n",
    "from torch import nn, optim\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "% matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from mnist_cnn import ConvVAE\n",
    "from notmnist_cnn import *\n",
    "from utils import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "DISABLE_CUDA = False\n",
    "\n",
    "if not DISABLE_CUDA and torch.cuda.is_available():\n",
    "    device = torch.device('cuda')\n",
    "else:\n",
    "    device = torch.device('cpu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = NotMNIST(\n",
    "    os.path.join(*'data/notMNIST_small'.split('/')),\n",
    "    batch_size=32, test_size=.2, val_size=.2\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test accuracy: 0.937\n",
      "Test error rate: 0.063\n"
     ]
    }
   ],
   "source": [
    "model = load_model(notmnist_model(), os.path.join('models', 'notmnist.pt'), device)\n",
    "\n",
    "model.eval()\n",
    "test_accuracy = 0\n",
    "\n",
    "with torch.no_grad():\n",
    "    for X, y, label in dataset.test_loader:\n",
    "        X = X.to(device); y = y.to(device)\n",
    "\n",
    "        pred = model(X)\n",
    "        test_accuracy += (torch.argmax(pred, 1) == y).sum()\n",
    "\n",
    "test_accuracy = test_accuracy.item() / dataset.test_size\n",
    "\n",
    "print('Test accuracy: %.3f' % test_accuracy)\n",
    "print('Test error rate: %.3f' % (1 - test_accuracy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 001: train_loss = 429.125, val_loss = 348.431\n",
      "Epoch 002: train_loss = 366.788, val_loss = 314.425\n",
      "Epoch 003: train_loss = 344.696, val_loss = 286.160\n",
      "Epoch 004: train_loss = 331.501, val_loss = 271.113\n",
      "Epoch 005: train_loss = 321.807, val_loss = 263.852\n",
      "Epoch 006: train_loss = 314.100, val_loss = 256.487\n",
      "Epoch 007: train_loss = 307.149, val_loss = 253.804\n",
      "Epoch 008: train_loss = 303.042, val_loss = 250.573\n",
      "Epoch 009: train_loss = 299.427, val_loss = 247.543\n",
      "Epoch 010: train_loss = 295.472, val_loss = 240.530\n",
      "Epoch 011: train_loss = 292.143, val_loss = 237.640\n",
      "Epoch 012: train_loss = 289.719, val_loss = 234.162\n",
      "Epoch 013: train_loss = 287.657, val_loss = 232.504\n",
      "Epoch 014: train_loss = 285.821, val_loss = 231.471\n",
      "Epoch 015: train_loss = 283.235, val_loss = 229.726\n",
      "Epoch 016: train_loss = 281.262, val_loss = 229.727\n",
      "Epoch 017: train_loss = 280.130, val_loss = 226.534\n",
      "Epoch 018: train_loss = 278.720, val_loss = 225.113\n",
      "Epoch 019: train_loss = 278.042, val_loss = 225.113\n",
      "Epoch 020: train_loss = 276.384, val_loss = 224.477\n",
      "Epoch 021: train_loss = 275.277, val_loss = 223.315\n",
      "Epoch 022: train_loss = 274.387, val_loss = 230.002\n",
      "Epoch 023: train_loss = 273.502, val_loss = 221.524\n",
      "Epoch 024: train_loss = 272.716, val_loss = 222.368\n",
      "Epoch 025: train_loss = 271.258, val_loss = 219.980\n",
      "Epoch 026: train_loss = 271.806, val_loss = 223.353\n",
      "Epoch 027: train_loss = 270.242, val_loss = 219.851\n",
      "Epoch 028: train_loss = 268.939, val_loss = 219.602\n",
      "Epoch 029: train_loss = 268.548, val_loss = 219.752\n",
      "Epoch 030: train_loss = 268.589, val_loss = 220.187\n",
      "Epoch 031: train_loss = 267.411, val_loss = 217.777\n",
      "Epoch 032: train_loss = 267.065, val_loss = 217.919\n",
      "Epoch 033: train_loss = 266.433, val_loss = 217.847\n",
      "Epoch 034: train_loss = 266.577, val_loss = 217.750\n",
      "Epoch 035: train_loss = 266.182, val_loss = 217.024\n",
      "Epoch 036: train_loss = 265.107, val_loss = 216.085\n",
      "Epoch 037: train_loss = 264.490, val_loss = 215.319\n",
      "Epoch 038: train_loss = 263.977, val_loss = 214.858\n",
      "Epoch 039: train_loss = 263.287, val_loss = 216.027\n",
      "Epoch 040: train_loss = 263.296, val_loss = 214.779\n",
      "Epoch 041: train_loss = 263.060, val_loss = 214.572\n",
      "Epoch 042: train_loss = 262.750, val_loss = 213.428\n",
      "Epoch 043: train_loss = 262.044, val_loss = 214.856\n",
      "Epoch 044: train_loss = 262.529, val_loss = 213.995\n",
      "Epoch 045: train_loss = 261.823, val_loss = 213.710\n",
      "Epoch 046: train_loss = 261.849, val_loss = 213.500\n",
      "Epoch 047: train_loss = 261.206, val_loss = 214.780\n",
      "Epoch 048: train_loss = 260.614, val_loss = 212.518\n",
      "Epoch 049: train_loss = 260.539, val_loss = 212.484\n",
      "Epoch 050: train_loss = 260.173, val_loss = 211.860\n",
      "Epoch 051: train_loss = 259.896, val_loss = 212.575\n",
      "Epoch 052: train_loss = 258.914, val_loss = 211.569\n",
      "Epoch 053: train_loss = 259.709, val_loss = 211.785\n",
      "Epoch 054: train_loss = 258.997, val_loss = 211.301\n",
      "Epoch 055: train_loss = 258.613, val_loss = 210.035\n",
      "Epoch 056: train_loss = 258.983, val_loss = 210.622\n",
      "Epoch 057: train_loss = 258.026, val_loss = 212.271\n",
      "Epoch 058: train_loss = 258.625, val_loss = 211.472\n",
      "Epoch 059: train_loss = 258.462, val_loss = 211.432\n",
      "Epoch 060: train_loss = 257.428, val_loss = 210.771\n",
      "Epoch 061: train_loss = 257.063, val_loss = 210.397\n",
      "Epoch 062: train_loss = 256.993, val_loss = 209.372\n",
      "Epoch 063: train_loss = 256.846, val_loss = 209.441\n",
      "Epoch 064: train_loss = 256.643, val_loss = 209.586\n",
      "Epoch 065: train_loss = 257.439, val_loss = 209.289\n",
      "Epoch 066: train_loss = 257.431, val_loss = 210.342\n",
      "Epoch 067: train_loss = 256.917, val_loss = 208.805\n",
      "Epoch 068: train_loss = 256.506, val_loss = 207.992\n",
      "Epoch 069: train_loss = 256.233, val_loss = 209.187\n",
      "Epoch 070: train_loss = 256.295, val_loss = 209.459\n",
      "Epoch 071: train_loss = 255.556, val_loss = 209.257\n",
      "Epoch 072: train_loss = 256.128, val_loss = 208.081\n",
      "Epoch 073: train_loss = 256.275, val_loss = 209.647\n",
      "Epoch 074: train_loss = 256.162, val_loss = 210.053\n",
      "Epoch 075: train_loss = 254.758, val_loss = 208.901\n",
      "Epoch 076: train_loss = 255.246, val_loss = 208.919\n",
      "Epoch 077: train_loss = 255.423, val_loss = 208.591\n",
      "Epoch 078: train_loss = 255.731, val_loss = 207.239\n",
      "Epoch 079: train_loss = 254.513, val_loss = 209.387\n",
      "Epoch 080: train_loss = 255.347, val_loss = 208.121\n",
      "Epoch 081: train_loss = 254.759, val_loss = 207.295\n",
      "Epoch 082: train_loss = 254.798, val_loss = 207.479\n",
      "Epoch 083: train_loss = 254.564, val_loss = 207.153\n",
      "Epoch 084: train_loss = 254.744, val_loss = 207.696\n",
      "Epoch 085: train_loss = 254.900, val_loss = 207.571\n",
      "Epoch 086: train_loss = 254.418, val_loss = 209.453\n",
      "Epoch 087: train_loss = 253.876, val_loss = 206.580\n",
      "Epoch 088: train_loss = 254.155, val_loss = 206.990\n",
      "Epoch 089: train_loss = 254.400, val_loss = 207.916\n",
      "Epoch 090: train_loss = 253.305, val_loss = 207.664\n",
      "Epoch 091: train_loss = 254.023, val_loss = 207.719\n",
      "Epoch 092: train_loss = 253.898, val_loss = 206.986\n",
      "Epoch 093: train_loss = 254.028, val_loss = 205.659\n",
      "Epoch 094: train_loss = 253.299, val_loss = 206.408\n",
      "Epoch 095: train_loss = 252.920, val_loss = 206.274\n",
      "Epoch 096: train_loss = 253.892, val_loss = 207.879\n",
      "Epoch 097: train_loss = 253.964, val_loss = 208.018\n",
      "Epoch 098: train_loss = 253.562, val_loss = 207.152\n",
      "Epoch 099: train_loss = 253.691, val_loss = 207.799\n",
      "Epoch 100: train_loss = 253.315, val_loss = 206.313\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f626bd6a400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "emb_dim = 100\n",
    "N_EPOCHS = 100\n",
    "\n",
    "vae = ConvVAE(emb_dim).to(device)\n",
    "model_path = os.path.join('models', 'conv_vae_notmnist.pt')\n",
    "\n",
    "optimizer = optim.Adam(vae.parameters())\n",
    "\n",
    "train_losses = []\n",
    "val_losses = []\n",
    "\n",
    "# Train model\n",
    "for epoch in range(1, N_EPOCHS + 1):\n",
    "    vae.train()\n",
    "    \n",
    "    train_loss = 0\n",
    "    \n",
    "    for X, _, _ in dataset.train_loader:\n",
    "        X = X.to(device)\n",
    "        \n",
    "        optimizer.zero_grad()\n",
    "        recon_X, mu, logvar, code = vae(X)\n",
    "        \n",
    "        loss = vae.loss(recon_X, X, mu, logvar)\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        \n",
    "        train_loss += loss.item()\n",
    "        \n",
    "    train_loss /= dataset.train_size\n",
    "    train_losses.append(train_loss)\n",
    "    \n",
    "    \n",
    "    vae.eval()\n",
    "    \n",
    "    val_loss = 0\n",
    "    \n",
    "    with torch.no_grad():\n",
    "        for X, _, _ in dataset.val_loader:\n",
    "            X = X.to(device)\n",
    "\n",
    "            optimizer.zero_grad()\n",
    "            recon_X, mu, logvar, code = vae(X)\n",
    "            loss = vae.loss(recon_X, X, mu, logvar)\n",
    "\n",
    "            val_loss += loss.item()\n",
    "        \n",
    "    val_loss /= dataset.val_size\n",
    "    val_losses.append(val_loss)\n",
    "    \n",
    "    print('Epoch %.3d: train_loss = %.3f, val_loss = %.3f' % (\n",
    "        epoch, train_loss, val_loss\n",
    "    ))\n",
    "    \n",
    "\n",
    "plt.plot(torch.Tensor(train_losses).cpu().detach().numpy(), label='train_loss')\n",
    "plt.plot(torch.Tensor(val_losses).cpu().detach().numpy(), label='val_loss')\n",
    "plt.legend();\n",
    "\n",
    "torch.save(vae.state_dict(), model_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "emb_dim = 100\n",
    "\n",
    "vae = ConvVAE(emb_dim).to(device)\n",
    "model_path = os.path.join('models', 'conv_vae_notmnist.pt')\n",
    "vae.load_state_dict(torch.load(model_path))\n",
    "\n",
    "vae = vae.eval()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f626c8cdda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axes = subplots(10, 10, plot_size=1).flatten()\n",
    "\n",
    "code = torch.randn(len(axes), emb_dim).to(device)\n",
    "decoded = vae.decode(code)\n",
    "\n",
    "for ax, img in zip(axes, decoded):\n",
    "    imshow(img[0].detach(), ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6253120b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axes_mat = subplots(10, 10).reshape(50, 2)\n",
    "\n",
    "idxs = np.random.choice(dataset.test_size, len(axes_mat), replace=False)\n",
    "\n",
    "for axes, idx in zip(axes_mat, idxs):\n",
    "    test_idx = dataset.test[idx]\n",
    "    img, y, label = dataset[test_idx]\n",
    "    img = img.to(device).unsqueeze(0)\n",
    "    rec_img = vae(img)[0][0, 0].detach()\n",
    "    \n",
    "    imshow(img[0, 0].detach(), axes[0])\n",
    "    axes[0].set_title('%d (%s)' % (idx, label))\n",
    "    imshow(rec_img, axes[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use the embedding norm as a measure of the likelihood of a code belonging to the manifold.\n",
    "\n",
    "Let's analyze then the norm distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "codes = []\n",
    "ys = []\n",
    "\n",
    "for X, y, _ in dataset.train_loader:\n",
    "    X = X.to(device)\n",
    "    \n",
    "    code, _ = vae.encode(X)\n",
    "    codes.append(code.detach()); ys.append(y)\n",
    "    \n",
    "codes = torch.cat(codes)\n",
    "ys = torch.cat(ys)\n",
    "ys = ys.cpu().detach().numpy().astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6253c7a2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "norms = codes.norm(p=2, dim=1).cpu().detach().numpy()\n",
    "plt.hist(norms);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f624993a128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axes = subplots(2, 5, sharex=True).flatten()\n",
    "class_means = {}\n",
    "\n",
    "for y, ax in enumerate(axes):\n",
    "    subset = norms[ys == y]\n",
    "    norm_mean = subset.mean()\n",
    "    class_means[int(y)] = float(norm_mean)\n",
    "    \n",
    "    ax.hist(subset)\n",
    "    ax.axvline(norm_mean, linestyle='dashed', color='red')\n",
    "    ax.set_title('Emb. norm for %s (mean %.2f)' % (dataset.classes[y], norm_mean))\n",
    "    \n",
    "class_means[-1] = float(norms.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is clearly not a normal distribution, even if we split by class. In any case, we'll still work by that assumption for the sake of simplicity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{-1: 3.6618690490722656,\n",
       " 0: 3.707939386367798,\n",
       " 1: 3.436964511871338,\n",
       " 2: 3.6879830360412598,\n",
       " 3: 3.780972480773926,\n",
       " 4: 3.3957276344299316,\n",
       " 5: 3.640519618988037,\n",
       " 6: 3.604188919067383,\n",
       " 7: 3.79947566986084,\n",
       " 8: 3.7704708576202393,\n",
       " 9: 3.7994062900543213}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class_means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json\n",
    "\n",
    "with open('data/notmnist_conv_vae_norm_means.json', 'w') as f:\n",
    "    json.dump(class_means, f)"
   ]
  }
 ],
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