MNIST RBM.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9f9d6d56-f64f-4450-a64a-c091c6e60951",
   "metadata": {},
   "source": [
    "# Import Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d6b20f7d-6a82-43d1-8312-71d8904b40d0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/alper/.local/lib/python3.10/site-packages/matplotlib/projections/__init__.py:63: UserWarning: Unable to import Axes3D. This may be due to multiple versions of Matplotlib being installed (e.g. as a system package and as a pip package). As a result, the 3D projection is not available.\n",
      "  warnings.warn(\"Unable to import Axes3D. This may be due to multiple versions of \"\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "import torch.nn.functional as F\n",
    "import torchvision.transforms as transforms\n",
    "import torchvision.datasets as datasets\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision.utils import make_grid, save_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "413c0210-1db9-4723-8325-2d35bd6b9306",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "device(type='cuda')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "device"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1684780-bcad-4fee-933c-ccd66b943c23",
   "metadata": {},
   "source": [
    "# Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "be0ff6a0-9c04-4ae6-9260-9ab2dd60b9d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "transform = transforms.Compose([\n",
    "    transforms.ToTensor(),\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "fe9fa502-0a6a-4af6-aa7b-e31fb64bd6b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data = datasets.MNIST(root=\"./mnist\", train=True, download=True, transform=transform)\n",
    "test_data = datasets.MNIST(root=\"./mnist\", train=False, download=True, transform=transform)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "6ac2b06a-d031-410b-a790-80d3519f6237",
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_size = 100\n",
    "train_dataloader = DataLoader(train_data, batch_size=batch_size, shuffle=True)\n",
    "test_dataloader = DataLoader(test_data, batch_size=batch_size, shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cad67cd5-8c4c-4170-86d8-2c46915a1536",
   "metadata": {},
   "source": [
    "# Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "d942ed60-50fa-42b5-aefa-b366201620da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_iter = iter(train_dataloader)\n",
    "images, _ = next(data_iter)\n",
    "\n",
    "def imshow(img):\n",
    "    npimg = img.numpy()\n",
    "    plt.imshow(npimg[0], cmap=\"gray\")\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "imshow(make_grid(images, nrow=10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7b6a524-f91b-478b-9f84-93007b23c8ea",
   "metadata": {},
   "source": [
    "# Restricted Boltzmann Machine (RBM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "64c502a1-ee95-4efd-842e-536804548562",
   "metadata": {},
   "outputs": [],
   "source": [
    "class RestrictedBoltzmannMachine(nn.Module):\n",
    "    def __init__(self, n_input, n_hidden, k, device):\n",
    "        super(RestrictedBoltzmannMachine, self).__init__()\n",
    "        self.n_input = n_input\n",
    "        self.n_hidden = n_hidden\n",
    "        self.k = k\n",
    "        self.W = nn.Parameter(torch.randn(n_hidden, n_input) * 0.01)\n",
    "        self.b1 = nn.Parameter(torch.zeros(n_input))\n",
    "        self.b2 = nn.Parameter(torch.zeros(n_hidden))\n",
    "        self.to(device)\n",
    "    \n",
    "    def sample_from_p(self, p):\n",
    "        return torch.bernoulli(p).to(device)\n",
    "\n",
    "    def v_to_h(self, v):\n",
    "        activations = torch.sigmoid(F.linear(v, self.W, self.b2))\n",
    "        return activations, self.sample_from_p(activations)\n",
    "\n",
    "    def h_to_v(self, h):\n",
    "        p_v = torch.sigmoid(F.linear(h, self.W.t(), self.b1))\n",
    "        return p_v, self.sample_from_p(p_v)\n",
    "\n",
    "    def forward(self, v):\n",
    "        v = v.to(device)\n",
    "        _, h = self.v_to_h(v)\n",
    "        h_ = h\n",
    "        \n",
    "        for _ in range(self.k):\n",
    "            _, v_ = self.h_to_v(h_)\n",
    "            _, h_ = self.v_to_h(v_)\n",
    "\n",
    "        return v, v_\n",
    "    \n",
    "    def free_energy(self, v):\n",
    "        vbias_term = torch.matmul(v, self.b1).sum()\n",
    "        wx_b = torch.matmul(v, self.W.t()) + self.b2\n",
    "        hidden_term = torch.sum(F.softplus(wx_b), dim=1)\n",
    "        return -(vbias_term + hidden_term).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "c6bce69a-9cb8-4cdb-b694-ab5bc8476d71",
   "metadata": {},
   "outputs": [],
   "source": [
    "rbm = RestrictedBoltzmannMachine(n_input=28 * 28, n_hidden=500, k=5, device=device)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a01d2c38-81ce-4ed0-8d04-140ad5de14c2",
   "metadata": {},
   "source": [
    "# Train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "6b7075a4-63fa-43c3-a614-0f1a518e8c1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = optim.SGD(rbm.parameters(), lr=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "f920bf0e-03ba-4e1f-8f6e-94e2403916db",
   "metadata": {},
   "outputs": [],
   "source": [
    "losses = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "705a0093-1696-42a0-91a7-c07790e7bc6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "epochs = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "00dfa61b-6888-4ffd-8fbc-2005040cd6be",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Epoch 1/50] - [Loss: 13295.8983]\n",
      "[Epoch 2/50] - [Loss: 7708.0200]\n",
      "[Epoch 3/50] - [Loss: 5800.8690]\n",
      "[Epoch 4/50] - [Loss: 4606.2117]\n",
      "[Epoch 5/50] - [Loss: 3865.2475]\n",
      "[Epoch 6/50] - [Loss: 3275.0774]\n",
      "[Epoch 7/50] - [Loss: 3036.1543]\n",
      "[Epoch 8/50] - [Loss: 2681.7606]\n",
      "[Epoch 9/50] - [Loss: 2545.3431]\n",
      "[Epoch 10/50] - [Loss: 2418.5644]\n",
      "[Epoch 11/50] - [Loss: 2291.2195]\n",
      "[Epoch 12/50] - [Loss: 2211.6573]\n",
      "[Epoch 13/50] - [Loss: 2114.9814]\n",
      "[Epoch 14/50] - [Loss: 2035.0191]\n",
      "[Epoch 15/50] - [Loss: 2022.4215]\n",
      "[Epoch 16/50] - [Loss: 1894.8447]\n",
      "[Epoch 17/50] - [Loss: 1909.5713]\n",
      "[Epoch 18/50] - [Loss: 1839.3462]\n",
      "[Epoch 19/50] - [Loss: 1800.6738]\n",
      "[Epoch 20/50] - [Loss: 1844.3216]\n",
      "[Epoch 21/50] - [Loss: 1765.5057]\n",
      "[Epoch 22/50] - [Loss: 1767.0250]\n",
      "[Epoch 23/50] - [Loss: 1668.1435]\n",
      "[Epoch 24/50] - [Loss: 1718.3208]\n",
      "[Epoch 25/50] - [Loss: 1612.8247]\n",
      "[Epoch 26/50] - [Loss: 1654.5973]\n",
      "[Epoch 27/50] - [Loss: 1631.4647]\n",
      "[Epoch 28/50] - [Loss: 1626.0720]\n",
      "[Epoch 29/50] - [Loss: 1601.9388]\n",
      "[Epoch 30/50] - [Loss: 1593.4047]\n",
      "[Epoch 31/50] - [Loss: 1554.9105]\n",
      "[Epoch 32/50] - [Loss: 1582.0409]\n",
      "[Epoch 33/50] - [Loss: 1595.5442]\n",
      "[Epoch 34/50] - [Loss: 1525.3610]\n",
      "[Epoch 35/50] - [Loss: 1575.3387]\n",
      "[Epoch 36/50] - [Loss: 1494.1494]\n",
      "[Epoch 37/50] - [Loss: 1568.2559]\n",
      "[Epoch 38/50] - [Loss: 1518.2699]\n",
      "[Epoch 39/50] - [Loss: 1455.6856]\n",
      "[Epoch 40/50] - [Loss: 1518.4754]\n",
      "[Epoch 41/50] - [Loss: 1511.9461]\n",
      "[Epoch 42/50] - [Loss: 1453.7050]\n",
      "[Epoch 43/50] - [Loss: 1503.1864]\n",
      "[Epoch 44/50] - [Loss: 1441.5719]\n",
      "[Epoch 45/50] - [Loss: 1498.4396]\n",
      "[Epoch 46/50] - [Loss: 1498.3726]\n",
      "[Epoch 47/50] - [Loss: 1497.7879]\n",
      "[Epoch 48/50] - [Loss: 1461.9834]\n",
      "[Epoch 49/50] - [Loss: 1460.1708]\n",
      "[Epoch 50/50] - [Loss: 1421.4878]\n"
     ]
    }
   ],
   "source": [
    "for epoch in range(epochs):\n",
    "    total_loss = 0.0\n",
    "\n",
    "    for data, _ in train_dataloader:\n",
    "        sample_data = data.view(-1, 784).bernoulli().to(device)\n",
    "\n",
    "        v, v1 = rbm(sample_data)\n",
    "        loss = rbm.free_energy(v) - rbm.free_energy(v1)\n",
    "\n",
    "        total_loss += loss.item()\n",
    "\n",
    "        optimizer.zero_grad()\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "\n",
    "    avg_loss = total_loss / len(train_dataloader)\n",
    "    losses.append(avg_loss)\n",
    "    print(f\"[Epoch {epoch + 1}/{epochs}] - [Loss: {avg_loss:.4f}]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68c3636c-6aa2-4346-bac5-c48809dc5df3",
   "metadata": {},
   "source": [
    "# Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "6d244996-42f5-42e7-97d0-54f4b678bcf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(range(1, epochs + 1), losses, marker=\"*\")\n",
    "plt.xlabel(\"Epoch\")\n",
    "plt.ylabel(\"Loss\")\n",
    "plt.title(\"Loss Curve\")\n",
    "plt.legend([\"train\"])\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "889fc392-38d9-4d77-b1d5-f88d2809976f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def reconstruct_images(test_dataloader, count=5):\n",
    "    for _ in range(count):\n",
    "        random_idx = np.random.randint(len(test_dataloader.dataset))\n",
    "        \n",
    "        original_image = test_dataloader.dataset[random_idx][0].numpy().reshape(28, 28)\n",
    "        sample_data = torch.bernoulli(test_dataloader.dataset[random_idx][0]).numpy().reshape(28, 28)\n",
    "        v, v_ = rbm(torch.tensor(sample_data).view(1, -1))\n",
    "        reconstructed_image = v_.cpu().detach().numpy().reshape(28, 28)\n",
    "        \n",
    "        fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(5, 3))\n",
    "        \n",
    "        axes[0].imshow(original_image, cmap=\"gray\")\n",
    "        axes[0].set_title(\"Original Image\")\n",
    "        axes[0].axis(\"off\")\n",
    "        \n",
    "        axes[1].imshow(reconstructed_image, cmap=\"gray\")\n",
    "        axes[1].set_title(\"Reconstructed Image\")\n",
    "        axes[1].axis(\"off\")\n",
    "\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "db1dd66e-4105-4866-bb19-a1c7a6ee3b2a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAADaCAYAAABq1w8LAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAa3UlEQVR4nO3deXDU9f3H8VfOBRMSggmHARMINzLIWQRiUKkMJUqQQxFDAhFBEaSDtDiWo2BRUDvpIAhaUGporQSEWC8UEYoyiloNxXIKXuVKwn0n+/n9wWR/LPluzKYfkjV5Pmackff3+nw/2W9e+919ZzfIGGMEAIBFwdU9AABAzUO4AACsI1wAANYRLgAA6wgXAIB1hAsAwDrCBQBgHeECALCOcAEAWFdrwmXWrFkKCgqq1LYvv/yygoKCtH//fruDusz+/fsVFBSkl19++aodA4B9XLvOAj5ctm/frvvuu0/x8fFyuVy67rrrNHLkSG3fvr26h1YtPvzwQwUFBSk3N7e6h4L/QekTltL/QkNDFR8fr8zMTP3444/VPTzrFi1aVO2/fKt7DLXt2g3ocFm9erW6dOmi9evXa/To0Vq0aJGysrK0YcMGdenSRa+//nqF9/W73/1OZ8+erdQ40tPTdfbsWSUkJFRqe8CX2bNn65VXXtHixYs1YMAA5eTkKCUlRefOnavuoVlV3b/YA2UMtUlodQ/Al7179yo9PV0tWrTQpk2bFBcX51n2yCOPKDk5Wenp6crPz1eLFi187uf06dOKiIhQaGioQkMrd7ohISEKCQmp1LZAeQYMGKBu3bpJku6//37FxsZq3rx5ysvL0/Dhw6t5dNWj9JrFz1vA3rk8/fTTOnPmjF544QWvYJGk2NhYLVmyRKdPn9b8+fM99dL3Vb7++mvde++9iomJUZ8+fbyWXe7s2bOaNGmSYmNjVa9ePd1555368ccfFRQUpFmzZnnWc3rPJTExUampqdq8ebN69OihOnXqqEWLFvrLX/7idYyioiI9+uij6tixoyIjIxUVFaUBAwboq6++sjRT/39uu3bt0n333afo6GjFxcVp+vTpMsbo+++/16BBgxQVFaXGjRvr2Wef9dr+woULmjFjhrp27aro6GhFREQoOTlZGzZsKHOswsJCpaenKyoqSvXr11dGRoa++uorx9ecd+zYoaFDh6pBgwaqU6eOunXrpry8PGvnXRMlJydLuvTk6nIVnctjx47p17/+tRITE+VyudS0aVONGjVKBQUFnnUOHz6srKwsNWrUSHXq1FGnTp20fPlyr/2Uvo/wzDPP6IUXXlBSUpJcLpe6d++urVu3eq178OBBjR49Wk2bNpXL5VKTJk00aNAgz/WSmJio7du3a+PGjZ6XAfv27Svp/6+tjRs36qGHHlLDhg3VtGlTSVJmZqYSExPLnKOv909zcnLUo0cPXXPNNYqJidHNN9+sdevW/eQYSudt8uTJatasmVwul1q2bKl58+bJ7XaXmd/MzExFR0d7Hv/Hjh0rM5aKqsnXbsDeubzxxhtKTEz0XGxXuvnmm5WYmKg333yzzLJhw4apVatWmjt3rsr7RoHMzEy99tprSk9PV8+ePbVx40YNHDiwwmPcs2ePhg4dqqysLGVkZGjZsmXKzMxU165d1aFDB0nSN998ozVr1mjYsGFq3ry5Dh06pCVLliglJUVff/21rrvuugof76fcfffdateunZ566im9+eabeuKJJ9SgQQMtWbJEt956q+bNm6cVK1bo0UcfVffu3XXzzTdLkk6cOKE///nPGjFihMaOHauTJ09q6dKl6t+/vz799FPdeOONkiS326077rhDn376qR588EG1bdtWa9euVUZGRpmxbN++Xb1791Z8fLymTZumiIgIvfbaa0pLS9OqVas0ePBga+ddk5T+Qo6JifHUKjqXp06dUnJysv7zn/9ozJgx6tKliwoKCpSXl6cffvhBsbGxOnv2rPr27as9e/bo4YcfVvPmzbVy5UplZmbq2LFjeuSRR7zG89e//lUnT57UuHHjFBQUpPnz5+uuu+7SN998o7CwMEnSkCFDtH37dk2cOFGJiYk6fPiw3nvvPX333XdKTExUdna2Jk6cqMjISD3++OOSpEaNGnkd56GHHlJcXJxmzJih06dP+z1vv//97zVr1iz16tVLs2fPVnh4uD755BN98MEHuv3228sdw5kzZ5SSkqIff/xR48aN0/XXX6+PP/5Yjz32mA4cOKDs7GxJkjFGgwYN0ubNmzV+/Hi1a9dOr7/+uuPj31818to1AejYsWNGkhk0aFC56915551Gkjlx4oQxxpiZM2caSWbEiBFl1i1dVurzzz83kszkyZO91svMzDSSzMyZMz21l156yUgy+/bt89QSEhKMJLNp0yZP7fDhw8blcpkpU6Z4aufOnTMlJSVex9i3b59xuVxm9uzZXjVJ5qWXXir3nDds2GAkmZUrV5Y5twceeMBTKy4uNk2bNjVBQUHmqaee8tSPHj1q6tatazIyMrzWPX/+vNdxjh49aho1amTGjBnjqa1atcpIMtnZ2Z5aSUmJufXWW8uM/bbbbjMdO3Y0586d89Tcbrfp1auXadWqVbnnWBuUPqbef/99c+TIEfP999+b3NxcExcXZ1wul/n+++8961Z0LmfMmGEkmdWrV5c5ntvtNsYYk52dbSSZnJwcz7ILFy6Ym266yURGRnqupdLH47XXXmuKioo8665du9ZIMm+88YYx5tLjRJJ5+umnyz3fDh06mJSUFJ/z0KdPH1NcXOy1LCMjwyQkJJTZ5spreffu3SY4ONgMHjy4zLVWet7ljWHOnDkmIiLC7Nq1y6s+bdo0ExISYr777jtjjDFr1qwxksz8+fM96xQXF5vk5GSuXQcB+bLYyZMnJUn16tUrd73S5SdOnPCqjx8//ieP8c4770i69IzpchMnTqzwONu3b+91ZxUXF6c2bdrom2++8dRcLpeCgy9Nc0lJiQoLCxUZGak2bdroiy++qPCxKuL+++/3/H9ISIi6desmY4yysrI89fr165cZY0hIiMLDwyVdeoZTVFSk4uJidevWzWuM77zzjsLCwjR27FhPLTg4WBMmTPAaR1FRkT744AMNHz5cJ0+eVEFBgQoKClRYWKj+/ftr9+7dNbIjqjL69eunuLg4NWvWTEOHDlVERITy8vI8Lw35M5erVq1Sp06dHJ9Zlr6M9NZbb6lx48YaMWKEZ1lYWJgmTZqkU6dOaePGjV7b3X333V53UaWP99LHT926dRUeHq4PP/xQR48erfQ8jB07ttLva65Zs0Zut1szZszwXGulKvLnBytXrlRycrJiYmI881tQUKB+/fqppKREmzZtknRp7kJDQ/Xggw96tg0JCfHrd4YvNfHaDciXxUpDozRkfPEVQs2bN//JY3z77bcKDg4us27Lli0rPM7rr7++TC0mJsbrInO73frTn/6kRYsWad++fSopKfEsu/baayt8rMqMJzo6WnXq1FFsbGyZemFhoVdt+fLlevbZZ7Vjxw5dvHjRU798fr799ls1adJE11xzjde2V87Znj17ZIzR9OnTNX36dMexHj58WPHx8RU/uRpq4cKFat26tY4fP65ly5Zp06ZNcrlcnuX+zOXevXs1ZMiQco/37bffqlWrVmV+Cbdr186z/HJXPqZKg6b0Me5yuTRv3jxNmTJFjRo1Us+ePZWamqpRo0apcePGFZiBSypyzfqyd+9eBQcHq3379pXafvfu3crPzy/z3m6pw4cPS/r/x39kZKTX8jZt2lTquJeridduQIZLdHS0mjRpovz8/HLXy8/PV3x8vKKiorzqdevWvZrD8/D1TMtc9j7P3LlzNX36dI0ZM0Zz5sxRgwYNFBwcrMmTJ5d5s/BqjKciY8zJyVFmZqbS0tI0depUNWzYUCEhIXryySfLvLFcEaXn9eijj6p///6O6/gT4jVZjx49PN1iaWlp6tOnj+69917t3LlTkZGR1T6XFXn8TJ48WXfccYfWrFmjd999V9OnT9eTTz6pDz74QJ07d67QcZyuWV93HZc/QbPB7Xbrl7/8pX7zm984Lm/durXV4zmpidduQIaLJKWmpurFF1/U5s2bPR1fl/vnP/+p/fv3a9y4cZXaf0JCgtxut/bt26dWrVp56nv27Kn0mJ3k5ubqlltu0dKlS73qx44dK/OspLrk5uaqRYsWWr16tdcFPXPmTK/1EhIStGHDBp05c8brGdCVc1baGh4WFqZ+/fpdxZHXLKW/FG655RY999xzmjZtml9zmZSUpH//+9/lrpOQkKD8/Hy53W6vu5cdO3Z4lldGUlKSpkyZoilTpmj37t268cYb9eyzzyonJ0dSxV6eulJMTIxjJ9aVd1dJSUlyu936+uuvPW9gO/E1hqSkJJ06deon5zchIUHr16/XqVOnvO5edu7cWe52V1MgX7sB+Z6LJE2dOlV169bVuHHjytwGFhUVafz48brmmms0derUSu2/NJUXLVrkVV+wYEHlBuxDSEhImY61lStXBtR7DqXPkC4f5yeffKItW7Z4rde/f39dvHhRL774oqfmdru1cOFCr/UaNmyovn37asmSJTpw4ECZ4x05csTm8GuUvn37qkePHsrOzta5c+f8msshQ4boq6++cvzj4tKf7a9+9SsdPHhQf//73z3LiouLtWDBAkVGRiolJcWv8Z45c6bMH3wmJSWpXr16On/+vKcWERHhd8tuUlKSjh8/7vUKxoEDB8qcX1pamoKDgzV79uwyrwZc/pj2NYbhw4dry5Ytevfdd8ssO3bsmIqLiyVdmrvi4mI9//zznuUlJSXWf2f4I5Cv3YC9c2nVqpWWL1+ukSNHqmPHjsrKylLz5s21f/9+LV26VAUFBfrb3/6mpKSkSu2/a9euGjJkiLKzs1VYWOhpRd61a5ekyj3TcpKamqrZs2dr9OjR6tWrl7Zt26YVK1aU+4efVS01NVWrV6/W4MGDNXDgQO3bt0+LFy9W+/btderUKc96aWlp6tGjh6ZMmaI9e/aobdu2ysvLU1FRkSTvOVu4cKH69Omjjh07auzYsWrRooUOHTqkLVu26IcffrD6dz41zdSpUzVs2DC9/PLLGj9+fIXncurUqcrNzdWwYcM0ZswYde3aVUVFRcrLy9PixYvVqVMnPfDAA1qyZIkyMzP1+eefKzExUbm5ufroo4+UnZ39k000V9q1a5duu+02DR8+XO3bt1doaKhef/11HTp0SPfcc49nva5du+r555/XE088oZYtW6phw4a69dZby933Pffco9/+9rcaPHiwJk2apDNnzuj5559X69atvd6sbtmypR5//HHNmTNHycnJuuuuu+RyubR161Zdd911evLJJ8sdw9SpU5WXl6fU1FTPnxKcPn1a27ZtU25urvbv36/Y2Fjdcccd6t27t6ZNm6b9+/erffv2Wr16tY4fP+7XnNkU0NduhfvKqkl+fr4ZMWKEadKkiQkLCzONGzc2I0aMMNu2bSuzbmlb35EjR3wuu9zp06fNhAkTTIMGDUxkZKRJS0szO3fuNJK8WgB9tSIPHDiwzHFSUlK82h3PnTtnpkyZYpo0aWLq1q1revfubbZs2VJmPRutyFeed0ZGhomIiHAcY4cOHTz/drvdZu7cuSYhIcG4XC7TuXNn849//MOxFfTIkSPm3nvvNfXq1TPR0dEmMzPTfPTRR0aSefXVV73W3bt3rxk1apRp3LixCQsLM/Hx8SY1NdXk5uaWe461QeljauvWrWWWlZSUmKSkJJOUlORpz63oXBYWFpqHH37YxMfHm/DwcNO0aVOTkZFhCgoKPOscOnTIjB492sTGxprw8HDTsWPHMo+70sejU4uxLmvVLygoMBMmTDBt27Y1ERERJjo62vziF78wr732mtc2Bw8eNAMHDjT16tUzkjyP/fLmwRhj1q1bZ2644QYTHh5u2rRpY3JychyvZWOMWbZsmencubNxuVwmJibGpKSkmPfee+8nx2CMMSdPnjSPPfaYadmypQkPDzexsbGmV69e5plnnjEXLlzwmt/09HQTFRVloqOjTXp6uvnXv/7FtesgyJhy/sqwFvryyy/VuXNn5eTkaOTIkdU9nJ+FNWvWaPDgwdq8ebN69+5d3cMBUEFX89oN2PdcqoLTB1lmZ2crODjY8xew8HblnJW+5hwVFaUuXbpU06gA/JSqvnYD9j2XqjB//nx9/vnnuuWWWxQaGqq3335bb7/9th544AE1a9asuocXkCZOnKizZ8/qpptu0vnz57V69Wp9/PHHmjt3bpW1gAPwX5VfuxV+Aa0GWrdunendu7eJiYkxYWFhJikpycyaNctcvHixuocWsFasWGG6dOlioqKiTHh4uGnfvr1ZsGBBdQ8LwE+o6muX91wAANbV6vdcAABXB+ECALCOcAEAWFfhbjFbf7EOVJdAeXuRawk/dxW5lrhzAQBYR7gAAKwjXAAA1hEuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHWECwDAutDqHkBNlZiY6FgfP368Y33o0KE+95WUlORYLy4udqyvWLHC576OHj3qWF+4cKFjfc+ePT73BVQFY4xf6wcFBfm9r/K2QeVw5wIAsI5wAQBYR7gAAKwjXAAA1hEuAADrgkwFWzFqczdFfHy8z2XLli1zrPfo0cOxHh0dbWVMtn333XeOdV9dbz9H/nYdXS21+VoKlJ/B1VQbfr4V+Tly5wIAsI5wAQBYR7gAAKwjXAAA1hEuAADr+Gyxy/Ts2dOx/uabb/rcJiIiwrG+cuVKx/qqVasc6wcPHvR5jM6dOzvW09LSHOsJCQk+99W6dWvHuq/zACojULvCfHVy2Rwvn192CXcuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYVys/uNLXhzF+8cUXjvXTp0/73Ndtt93mWN+1a5ff47LF11cpS9KiRYsc64WFhY71uLg4K2MKBIHSHluTrqWqmNPqnK/KnF9N+vn6wgdXAgCqBeECALCOcAEAWEe4AACsI1wAANbVyg+u7Nevn2O9fv36jvWsrCyf+6qKrrA6deo41gcPHuxYz87O9vsYRUVFfm8D2BSIXWHljSlQug8DFXcuAADrCBcAgHWECwDAOsIFAGAd4QIAsK5Wdou1a9fOr/U7dOjgc9nbb7/tWD937pxfx4iMjPS5bMGCBY71jIwMx/qFCxd87mv37t2O9bvuuquc0QG4Um34DLH/BXcuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYVyu/5njgwIGO9TfeeMPvfW3bts2x/tRTTznWDxw44Fh/5ZVXfB4jPj7esb5z507Henp6us99ffbZZz6X1XSB8kGDNelasjmn/s5LdR67tuNrjgEA1YJwAQBYR7gAAKwjXAAA1hEuAADramW3WHCwc6b27NnTsb5s2TKf+2rdurVj3de0ut1ux3pISIjPY6xdu9axPmHCBMf6f//7X5/7qs3oFvt5qoqfGz8T/9AtBgCoFoQLAMA6wgUAYB3hAgCwjnABAFhXK7/m2FfH1scff+xY7969u899+drG11cjl9cV5ktxcbFjvbCw0O99AdWpvC6jqujYoius6nDnAgCwjnABAFhHuAAArCNcAADWES4AAOtqZbeYv6699lqfy1q1auXXvt59913HesuWLX1uM2TIEMf6mTNnHOsZGRl+jQmoKuV1a1XFZ4j5ewy6yyqPOxcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKyjFfkyN9xwg2M9Pz/f731NmjTJsf7cc8851ps0aeJzX++//75jPT093bHu62ucJWnMmDGO9YsXL/rcBrDFZrtxZdqE/T1+ZcZL+/Il3LkAAKwjXAAA1hEuAADrCBcAgHWECwDAulrZLearM2vt2rV+7+uPf/yjY33x4sV+7efAgQM+l/Xq1cux/swzzzjWs7KyfO7r+uuvd6zffvvtjvXz58/73BdgUyB+zXFVfJhmTcWdCwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwLMhVsh6hJn5czfPhwx/qrr77qWN+5c6fPfXXq1MmxfuHCBf8H5qf4+HjH+vr1631u07p1a8f6jBkzHOtPPPGE/wMLUIHS+VOTriVfaspnclX3Z6EFqorMC3cuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYV2NbkRs1auRz2XvvvedY99Wm26dPH5/7+uyzz/wbWBVITU31uSwvL8+x/umnnzrWe/bsaWVMgYBW5KpTU1qRy1Ob25RpRQYAVAvCBQBgHeECALCOcAEAWEe4AACsq7HdYpXpmCosLHSsx8XFWRlTVQkPD/e5bPv27Y71+vXrO9Z/budeHrrFqg7dYv6piefOnQsAwDrCBQBgHeECALCOcAEAWEe4AACsC63uAVwtmzZt8rns+PHjjvU6deo41tu2betzXzt27PBvYFWgvK9Y9tUpN2rUqKs1HNRggdKB93Pwc+sI+19x5wIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHU1thX5xIkTPpetW7fOsT5s2DDH+vr1633ua/To0X4do7olJiZW9xBQg/hqr60pLco15TyqA3cuAADrCBcAgHWECwDAOsIFAGAd4QIAsK7GdouVZ+bMmY717t27O9bL67B66623HOtbt251rH/55ZeO9eXLl/s8hr+aNWvmc9mAAQMc63/4wx+sHR+oTBeZv51ZNj8Ikq4w+7hzAQBYR7gAAKwjXAAA1hEuAADrCBcAgHVBpoJtErXhKzobN27sWJ8/f77PbUaOHOlYD9T5OnTokGO9c+fOjvWDBw9ezeFUqUDpCArUx0agstlFZvMxUJt/jhWZR+5cAADWES4AAOsIFwCAdYQLAMA6wgUAYB3hAgCwjlbk/5Gvr0b2VR86dKi1YxcXFzvWV6xY4XObpUuXOtY3b95sZUyBjFbkmsXXz7Myrcj8TPxDKzIAoFoQLgAA6wgXAIB1hAsAwDrCBQBgHd1iqDXoFgPsoFsMAFAtCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHWECwDAOsIFAGAd4QIAsI5wAQBYR7gAAKwjXAAA1hEuAADrCBcAgHUV/ppjAAAqijsXAIB1hAsAwDrCBQBgHeECALCOcAEAWEe4AACsI1wAANYRLgAA6wgXAIB1/wemcLq/GNfTTQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reconstruct_images(test_dataloader, count=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b796ffd8-46eb-4be8-8315-59216fe30cd7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ed90612b-8506-43cb-9165-a888540ad6e3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}