LeNet.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.499051Z",
     "start_time": "2024-07-16T08:36:37.495431Z"
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "from d2l import torch as d2l\n",
    "from torchvision import transforms\n",
    "import torchvision"
   ]
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "class Reshape(nn.Module):\n",
    "    def forward(self, x):\n",
    "        return x.reshape((-1, 1, 28, 28))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.510793Z",
     "start_time": "2024-07-16T08:36:37.507204Z"
    }
   },
   "id": "11cfcd60519ae521",
   "execution_count": 49
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "net = nn.Sequential(\n",
    "    Reshape(),\n",
    "    nn.Conv2d(1, 6 ,kernel_size=5, padding=2),nn.Sigmoid(),\n",
    "    nn.AvgPool2d(kernel_size=2, stride=2),\n",
    "    nn.Conv2d(6, 16, kernel_size=5),nn.Sigmoid(),\n",
    "    nn.AvgPool2d(kernel_size=2, stride=2),\n",
    "    nn.Flatten(),\n",
    "    nn.Linear(400, 120),nn.Sigmoid(),\n",
    "    nn.Linear(120,84),nn.Sigmoid(),\n",
    "    nn.Linear(84,10)\n",
    ")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.519579Z",
     "start_time": "2024-07-16T08:36:37.512751Z"
    }
   },
   "id": "c5dbb837bd9d80c3",
   "execution_count": 50
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reshape output shape:\t torch.Size([1, 1, 28, 28])\n",
      "Conv2d output shape:\t torch.Size([1, 6, 28, 28])\n",
      "Sigmoid output shape:\t torch.Size([1, 6, 28, 28])\n",
      "AvgPool2d output shape:\t torch.Size([1, 6, 14, 14])\n",
      "Conv2d output shape:\t torch.Size([1, 16, 10, 10])\n",
      "Sigmoid output shape:\t torch.Size([1, 16, 10, 10])\n",
      "AvgPool2d output shape:\t torch.Size([1, 16, 5, 5])\n",
      "Flatten output shape:\t torch.Size([1, 400])\n",
      "Linear output shape:\t torch.Size([1, 120])\n",
      "Sigmoid output shape:\t torch.Size([1, 120])\n",
      "Linear output shape:\t torch.Size([1, 84])\n",
      "Sigmoid output shape:\t torch.Size([1, 84])\n",
      "Linear output shape:\t torch.Size([1, 10])\n"
     ]
    }
   ],
   "source": [
    "x = torch.zeros((1,1,28,28))\n",
    "for layer in net:\n",
    "    x = layer(x)\n",
    "    print(f\"{type(layer).__name__} output shape:\\t {x.shape}\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.539057Z",
     "start_time": "2024-07-16T08:36:37.528198Z"
    }
   },
   "id": "51e092b4ed8ea40f",
   "execution_count": 51
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def load_data_mnist(batch_size, resize=None):\n",
    "    \"\"\"Download MNIST dataset and then load it into memory.\n",
    "\n",
    "    Defined in :numref:`sec_utils`\"\"\"\n",
    "    trans = [transforms.ToTensor()]\n",
    "    if resize:\n",
    "        trans.insert(0, transforms.Resize(resize))\n",
    "    trans = transforms.Compose(trans)\n",
    "    mnist_train = torchvision.datasets.MNIST(\n",
    "        root=\"../data\", train=True, transform=trans, download=True)\n",
    "    mnist_test = torchvision.datasets.MNIST(\n",
    "        root=\"../data\", train=False, transform=trans, download=True)\n",
    "    return (torch.utils.data.DataLoader(mnist_train, batch_size, shuffle=True,\n",
    "                                        num_workers=8),\n",
    "            torch.utils.data.DataLoader(mnist_test, batch_size, shuffle=False,\n",
    "                                        num_workers=8))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.554105Z",
     "start_time": "2024-07-16T08:36:37.543763Z"
    }
   },
   "id": "42a57d0d8ac0068c",
   "execution_count": 52
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "batch_size = 256\n",
    "train_iter, test_iter = load_data_mnist(batch_size=batch_size)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.608197Z",
     "start_time": "2024-07-16T08:36:37.557958Z"
    }
   },
   "id": "408610478c6b87ed",
   "execution_count": 53
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def train(net, train_iter, test_iter, num_epochs, lr, device):\n",
    "    def init_weights(m):\n",
    "        if type(m) == nn.Linear or type(m) == nn.Conv2d:\n",
    "            nn.init.xavier_uniform_(m.weight)\n",
    "    net.apply(init_weights)\n",
    "    print('training on', device)\n",
    "    net.to(device)\n",
    "    optimizer = torch.optim.SGD(net.parameters(), lr=lr)\n",
    "    loss = nn.CrossEntropyLoss()\n",
    "    animator = d2l.Animator(xlabel='epoch', xlim=[1, num_epochs],\n",
    "                            legend=['train loss', 'train acc', 'test acc'])\n",
    "    timer, num_batches = d2l.Timer(), len(train_iter)\n",
    "    for epoch in range(num_epochs):\n",
    "        # Sum of training loss, sum of training accuracy, no. of examples\n",
    "        metric = d2l.Accumulator(3)\n",
    "        net.train()\n",
    "        for i, (X, y) in enumerate(train_iter):\n",
    "            timer.start()\n",
    "            optimizer.zero_grad()\n",
    "            X, y = X.to(device), y.to(device)\n",
    "            y_hat = net(X)\n",
    "            l = loss(y_hat, y)\n",
    "            l.backward()\n",
    "            optimizer.step()\n",
    "            with torch.no_grad():\n",
    "                metric.add(l * X.shape[0], d2l.accuracy(y_hat, y), X.shape[0])\n",
    "            timer.stop()\n",
    "            train_l = metric[0] / metric[2]\n",
    "            train_acc = metric[1] / metric[2]\n",
    "            if (i + 1) % (num_batches // 5) == 0 or i == num_batches - 1:\n",
    "                animator.add(epoch + (i + 1) / num_batches,\n",
    "                             (train_l, train_acc, None))\n",
    "        test_acc = d2l.evaluate_accuracy_gpu(net, test_iter)\n",
    "        animator.add(epoch + 1, (None, None, test_acc))\n",
    "    print(f'loss {train_l:.3f}, train acc {train_acc:.3f}, '\n",
    "          f'test acc {test_acc:.3f}')\n",
    "    print(f'{metric[2] * num_epochs / timer.sum():.1f} examples/sec '\n",
    "          f'on {str(device)}')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.620898Z",
     "start_time": "2024-07-16T08:36:37.609892Z"
    }
   },
   "id": "92ee4645b5f693",
   "execution_count": 54
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "lr, epoches = 0.9, 10"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:37.629619Z",
     "start_time": "2024-07-16T08:36:37.623235Z"
    }
   },
   "id": "9c046ad81e8ec4e5",
   "execution_count": 55
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss 0.135, train acc 0.957, test acc 0.962\n",
      "108256.0 examples/sec on cuda:0\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 350x250 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"238.965625pt\" height=\"183.35625pt\" viewBox=\"0 0 238.965625 183.35625\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2024-07-16T16:36:57.592329</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 183.35625 \nL 238.965625 183.35625 \nL 238.965625 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.103125 145.8 \nL 225.403125 145.8 \nL 225.403125 7.2 \nL 30.103125 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path d=\"M 51.803125 145.8 \nL 51.803125 7.2 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path id=\"m6b3aa68317\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m6b3aa68317\" x=\"51.803125\" y=\"145.8\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 2 -->\n      <g transform=\"translate(48.621875 160.398438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path d=\"M 95.203125 145.8 \nL 95.203125 7.2 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m6b3aa68317\" x=\"95.203125\" y=\"145.8\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 4 -->\n      <g transform=\"translate(92.021875 160.398438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path d=\"M 138.603125 145.8 \nL 138.603125 7.2 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#m6b3aa68317\" x=\"138.603125\" y=\"145.8\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 6 -->\n      <g transform=\"translate(135.421875 160.398438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path d=\"M 182.003125 145.8 \nL 182.003125 7.2 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#m6b3aa68317\" x=\"182.003125\" y=\"145.8\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 8 -->\n      <g transform=\"translate(178.821875 160.398438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-38\" d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path d=\"M 225.403125 145.8 \nL 225.403125 7.2 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#m6b3aa68317\" x=\"225.403125\" y=\"145.8\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 10 -->\n      <g transform=\"translate(219.040625 160.398438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-31\" d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" transform=\"scale(0.015625)\"/>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- epoch -->\n     <g transform=\"translate(112.525 174.076563) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-65\"/>\n      <use xlink:href=\"#DejaVuSans-70\" x=\"61.523438\"/>\n      <use xlink:href=\"#DejaVuSans-6f\" x=\"125\"/>\n      <use xlink:href=\"#DejaVuSans-63\" x=\"186.181641\"/>\n      <use xlink:href=\"#DejaVuSans-68\" x=\"241.162109\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_11\">\n      <path d=\"M 30.103125 144.841839 \nL 225.403125 144.841839 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <defs>\n       <path id=\"m61cbc6ef2c\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m61cbc6ef2c\" x=\"30.103125\" y=\"144.841839\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0.0 -->\n      <g transform=\"translate(7.2 148.641058) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_13\">\n      <path d=\"M 30.103125 116.961678 \nL 225.403125 116.961678 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use xlink:href=\"#m61cbc6ef2c\" x=\"30.103125\" y=\"116.961678\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.5 -->\n      <g transform=\"translate(7.2 120.760896) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_15\">\n      <path d=\"M 30.103125 89.081517 \nL 225.403125 89.081517 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use xlink:href=\"#m61cbc6ef2c\" x=\"30.103125\" y=\"89.081517\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 1.0 -->\n      <g transform=\"translate(7.2 92.880735) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_17\">\n      <path d=\"M 30.103125 61.201355 \nL 225.403125 61.201355 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use xlink:href=\"#m61cbc6ef2c\" x=\"30.103125\" y=\"61.201355\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 1.5 -->\n      <g transform=\"translate(7.2 65.000574) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_19\">\n      <path d=\"M 30.103125 33.321194 \nL 225.403125 33.321194 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #b0b0b0; stroke-width: 0.8; stroke-linecap: square\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use xlink:href=\"#m61cbc6ef2c\" x=\"30.103125\" y=\"33.321194\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 2.0 -->\n      <g transform=\"translate(7.2 37.120413) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_21\">\n    <path d=\"M 12.743125 13.5 \nL 17.083125 14.718557 \nL 21.423125 15.1704 \nL 25.763125 15.423512 \nL 30.103125 15.597336 \nL 34.443125 16.312077 \nL 38.783125 16.338372 \nL 43.123125 16.370391 \nL 47.463125 16.392155 \nL 51.803125 16.390508 \nL 56.143125 16.454954 \nL 60.483125 16.466404 \nL 64.823125 16.472723 \nL 69.163125 16.462925 \nL 73.503125 16.475634 \nL 77.843125 16.509821 \nL 82.183125 16.51937 \nL 86.523125 16.550584 \nL 90.863125 16.615169 \nL 95.203125 16.724438 \nL 99.543125 20.913439 \nL 103.883125 31.826754 \nL 108.223125 49.351858 \nL 112.563125 62.321574 \nL 116.903125 71.852166 \nL 121.243125 116.549758 \nL 125.583125 118.798017 \nL 129.923125 120.104127 \nL 134.263125 121.428427 \nL 138.603125 122.575408 \nL 142.943125 126.773668 \nL 147.283125 128.452883 \nL 151.623125 128.838854 \nL 155.963125 129.246105 \nL 160.303125 129.799923 \nL 164.643125 132.236723 \nL 168.983125 132.810914 \nL 173.323125 133.018035 \nL 177.663125 133.325711 \nL 182.003125 133.547033 \nL 186.343125 135.163705 \nL 190.683125 135.438753 \nL 195.023125 135.477366 \nL 199.363125 135.592825 \nL 203.703125 135.821863 \nL 208.043125 137.176122 \nL 212.383125 137.167855 \nL 216.723125 137.137301 \nL 221.063125 137.267349 \nL 225.403125 137.303176 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path d=\"M 12.743125 139.215756 \nL 17.083125 139.095263 \nL 21.423125 139.110711 \nL 25.763125 139.069774 \nL 30.103125 139.025108 \nL 34.443125 139.062823 \nL 38.783125 139.085994 \nL 43.123125 138.999487 \nL 47.463125 138.887877 \nL 51.803125 138.927527 \nL 56.143125 138.613292 \nL 60.483125 138.69671 \nL 64.823125 138.642643 \nL 69.163125 138.732626 \nL 73.503125 138.706345 \nL 77.843125 138.682807 \nL 82.183125 138.590121 \nL 86.523125 138.583941 \nL 90.863125 138.436029 \nL 95.203125 138.135731 \nL 99.543125 133.617479 \nL 103.883125 128.897408 \nL 108.223125 122.38076 \nL 112.563125 117.608168 \nL 116.903125 114.103032 \nL 121.243125 98.090664 \nL 125.583125 97.31673 \nL 129.923125 96.810043 \nL 134.263125 96.363216 \nL 138.603125 95.985574 \nL 142.943125 94.758577 \nL 147.283125 94.181603 \nL 151.623125 94.001636 \nL 155.963125 93.864151 \nL 160.303125 93.710553 \nL 164.643125 92.951187 \nL 168.983125 92.758862 \nL 173.323125 92.71638 \nL 177.663125 92.646479 \nL 182.003125 92.56189 \nL 186.343125 92.107738 \nL 190.683125 92.05676 \nL 195.023125 92.02123 \nL 199.363125 91.972183 \nL 203.703125 91.885331 \nL 208.043125 91.542349 \nL 212.383125 91.542349 \nL 216.723125 91.546983 \nL 221.063125 91.467041 \nL 225.403125 91.458765 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #bf00bf; stroke-width: 1.5\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path d=\"M 30.103125 139.087374 \nL 51.803125 139.109678 \nL 73.503125 139.109678 \nL 95.203125 139.5 \nL 116.903125 99.759618 \nL 138.603125 93.921513 \nL 160.303125 93.079532 \nL 182.003125 91.958749 \nL 203.703125 91.501515 \nL 225.403125 91.222713 \n\" clip-path=\"url(#pfb8972239a)\" style=\"fill: none; stroke-dasharray: 9.6,2.4,1.5,2.4; stroke-dashoffset: 0; stroke: #008000; stroke-width: 1.5\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 30.103125 145.8 \nL 30.103125 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 225.403125 145.8 \nL 225.403125 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 30.103125 145.8 \nL 225.403125 145.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 30.103125 7.2 \nL 225.403125 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 140.634375 59.234375 \nL 218.403125 59.234375 \nQ 220.403125 59.234375 220.403125 57.234375 \nL 220.403125 14.2 \nQ 220.403125 12.2 218.403125 12.2 \nL 140.634375 12.2 \nQ 138.634375 12.2 138.634375 14.2 \nL 138.634375 57.234375 \nQ 138.634375 59.234375 140.634375 59.234375 \nz\n\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n    </g>\n    <g id=\"line2d_24\">\n     <path d=\"M 142.634375 20.298438 \nL 152.634375 20.298438 \nL 162.634375 20.298438 \n\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_12\">\n     <!-- train loss -->\n     <g transform=\"translate(170.634375 23.798438) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-74\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"39.208984\"/>\n      <use xlink:href=\"#DejaVuSans-61\" x=\"80.322266\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"141.601562\"/>\n      <use xlink:href=\"#DejaVuSans-6e\" x=\"169.384766\"/>\n      <use xlink:href=\"#DejaVuSans-20\" x=\"232.763672\"/>\n      <use xlink:href=\"#DejaVuSans-6c\" x=\"264.550781\"/>\n      <use xlink:href=\"#DejaVuSans-6f\" x=\"292.333984\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"353.515625\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"405.615234\"/>\n     </g>\n    </g>\n    <g id=\"line2d_25\">\n     <path d=\"M 142.634375 34.976563 \nL 152.634375 34.976563 \nL 162.634375 34.976563 \n\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #bf00bf; stroke-width: 1.5\"/>\n    </g>\n    <g id=\"text_13\">\n     <!-- train acc -->\n     <g transform=\"translate(170.634375 38.476563) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-74\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"39.208984\"/>\n      <use xlink:href=\"#DejaVuSans-61\" x=\"80.322266\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"141.601562\"/>\n      <use xlink:href=\"#DejaVuSans-6e\" x=\"169.384766\"/>\n      <use xlink:href=\"#DejaVuSans-20\" x=\"232.763672\"/>\n      <use xlink:href=\"#DejaVuSans-61\" x=\"264.550781\"/>\n      <use xlink:href=\"#DejaVuSans-63\" x=\"325.830078\"/>\n      <use xlink:href=\"#DejaVuSans-63\" x=\"380.810547\"/>\n     </g>\n    </g>\n    <g id=\"line2d_26\">\n     <path d=\"M 142.634375 49.654688 \nL 152.634375 49.654688 \nL 162.634375 49.654688 \n\" style=\"fill: none; stroke-dasharray: 9.6,2.4,1.5,2.4; stroke-dashoffset: 0; stroke: #008000; stroke-width: 1.5\"/>\n    </g>\n    <g id=\"text_14\">\n     <!-- test acc -->\n     <g transform=\"translate(170.634375 53.154688) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-74\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"39.208984\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"100.732422\"/>\n      <use xlink:href=\"#DejaVuSans-74\" x=\"152.832031\"/>\n      <use xlink:href=\"#DejaVuSans-20\" x=\"192.041016\"/>\n      <use xlink:href=\"#DejaVuSans-61\" x=\"223.828125\"/>\n      <use xlink:href=\"#DejaVuSans-63\" x=\"285.107422\"/>\n      <use xlink:href=\"#DejaVuSans-63\" x=\"340.087891\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pfb8972239a\">\n   <rect x=\"30.103125\" y=\"7.2\" width=\"195.3\" height=\"138.6\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train(net, train_iter, test_iter, epoches, lr, d2l.try_gpu())"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "68cd7f72b19c05a6",
   "execution_count": 56
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "#visualize the first layer of the network\n",
    "d2l.set_figsize()\n",
    "def show_filters(filters, n_cols, n_rows):\n",
    "    d2l.use_svg_display()\n",
    "    _, axes = d2l.plt.subplots(n_rows, n_cols)\n",
    "    for i in range(n_rows):\n",
    "        for j in range(n_cols):\n",
    "            axes[i][j].imshow(filters[i * n_cols + j].detach(), cmap='gray')\n",
    "            axes[i][j].axes.get_xaxis().set_visible(False)\n",
    "            axes[i][j].axes.get_yaxis().set_visible(False)\n",
    "    return axes"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:57.622413Z",
     "start_time": "2024-07-16T08:36:57.616711Z"
    }
   },
   "id": "d264ae6407eb4391",
   "execution_count": 57
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "array([[<Axes: >, <Axes: >, <Axes: >],\n       [<Axes: >, <Axes: >, <Axes: >]], dtype=object)"
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 350x250 with 6 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"209.7pt\" height=\"147.441176pt\" viewBox=\"0 0 209.7 147.441176\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2024-07-16T16:36:57.737699</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 147.441176 \nL 209.7 147.441176 \nL 209.7 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 7.2 64.641176 \nL 64.641176 64.641176 \nL 64.641176 7.2 \nL 7.2 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p782819b49d)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABMUlEQVR4nO3aIa7CQABFUfipAEKCQbADBCwDw/bYFoimHklS0zXAIo745h7/Js3NqEnX9/v9uwLn81nmq+fzSft5nmn/fr9p/0frFFAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEK0fjwe9B95uN/qAZVlo/3q9aD9NE+27gaiAqICogKiAqICogKiAqICogKiAqICogKiAqIBouF6vdMDxeKT96XSi/eFwoP1ms6F9NxAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQDd8v/R642m63tN/v97RXvQf+swKiAqICogKiAqICogKiAqICogKiAqICogKiAqJhHEc64PP50P5yudB+t9vRfhgG2ncDUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAdEPSWkgMX943WIAAAAASUVORK5CYII=\" id=\"imageb318a47bc1\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"7.2\" y=\"-7.041176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 7.2 64.641176 \nL 7.2 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 64.641176 64.641176 \nL 64.641176 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 7.2 64.641176 \nL 64.641176 64.641176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 7.2 7.2 \nL 64.641176 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 76.129412 64.641176 \nL 133.570588 64.641176 \nL 133.570588 7.2 \nL 76.129412 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pddc870aa7d)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABM0lEQVR4nO3coa3CYBiG0XJThSXBMQICwR7dggkZgwUqSU09EMBwhzj2Of79Q558knQzTdNvAJfLRebD+/2m/bIstL/f77T/o3UKqAqICogKiAqICogKiAqICogKiAqICogKiAqIxmma6IHz+Ww/YBxp//l8aD/PM+27QFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEA0rutKD7xeL9ofDgfaPx4P2u/3e9p3gaiAqICogKiAqICogKiAqICogKiAqICogKiAqIBovF6v9MB2u6X9brej/fF4pP3tdqN9F4gKiAqICogKiAqICogKiAqICogKiAqICogKiAqINsMw0PcD9f91p9OJ9s/nk/bf75f2XSAqICogKiAqICogKiAqICogKiAqICogKiAqICog+gfpKSku2WpyKwAAAABJRU5ErkJggg==\" id=\"image0cb99e1a0f\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"76.129412\" y=\"-7.041176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 76.129412 64.641176 \nL 76.129412 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 133.570588 64.641176 \nL 133.570588 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 76.129412 64.641176 \nL 133.570588 64.641176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 76.129412 7.2 \nL 133.570588 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 145.058824 64.641176 \nL 202.5 64.641176 \nL 202.5 7.2 \nL 145.058824 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p8efdc3c337)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABMElEQVR4nO3aoY1CQRhGUdiMgOB4FkUQGBJawVAjNbwqwKHRSBLkbhFHrLnHfyNufjnLy+XyuwDTNMl88Xw+af96vf51/0PrFFAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEI3r9UoP7HY72n8+H9o/Hg/a32432neBqICogKiAqICogKiAqICogKiAqICogKiAqICogGgcj0d64Hw+0/79ftN+v9/TfrPZ0L4LRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUTjcDjQA9/vl/ar1Yr22+2W9mMM2neBqICogKiAqICogKiAqICogKiAqICogKiAqICogGjM80wPrNdr2p9OJ9rf73fa6//ELhAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQ/QGrUiNGn7CNqwAAAABJRU5ErkJggg==\" id=\"image310ef8ae8f\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"145.058824\" y=\"-7.041176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 145.058824 64.641176 \nL 145.058824 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 202.5 64.641176 \nL 202.5 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path d=\"M 145.058824 64.641176 \nL 202.5 64.641176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path d=\"M 145.058824 7.2 \nL 202.5 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_17\">\n    <path d=\"M 7.2 140.241176 \nL 64.641176 140.241176 \nL 64.641176 82.8 \nL 7.2 82.8 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p2d2c0f6d09)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABLklEQVR4nO3YIY7CUBhGUWZSBIKkjiAgCEhTCzth1WyivgkKjZhZxLH3+O+Jm1+9n/v9/rcBy7LIfPP5fGh/PB5p/36/af9L6xRQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAN8zzTA+u60n6/39Ne/xMvlwvtu0BUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRANDyfT3rgfD7T/vV60f5wONB+t9vRvgtEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRMPj8aAHvt8v7U+nE+31P+96vdK+C0QFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEw3a7pQemaaK9/ifebjfaj+NI+y4QFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEP0DkqQdxG2dcyMAAAAASUVORK5CYII=\" id=\"image517be85701\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"7.2\" y=\"-82.641176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path d=\"M 7.2 140.241176 \nL 7.2 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 64.641176 140.241176 \nL 64.641176 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 7.2 140.241176 \nL 64.641176 140.241176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 7.2 82.8 \nL 64.641176 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_22\">\n    <path d=\"M 76.129412 140.241176 \nL 133.570588 140.241176 \nL 133.570588 82.8 \nL 76.129412 82.8 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1531277d53)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABNUlEQVR4nO3YoY0CYRhFUdhMAwgUwWAwOCwej6MGmqIdSpgGxhDEZAxut4gj1tzj32Ry86l//Xw+f1fg9XrJfLXf72l/u91ofzweaf9D6xRQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRCtH4/Hv74Hfr9f2m+3W9pfr1fad4GogKiAqICogKiAqICogKiAqICogKiAqICogKiAaH25XOg9cBxH+oH3+0370+lE+8PhQPsuEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRANm83GPjAMtN/tdrSf55n20zTRvgtEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRMP9fqcP6Hve5/Oh/bIstD+fz7TvAlEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQHRHxhFJciDX3Q5AAAAAElFTkSuQmCC\" id=\"image7d7f9312e6\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"76.129412\" y=\"-82.641176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path d=\"M 76.129412 140.241176 \nL 76.129412 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path d=\"M 133.570588 140.241176 \nL 133.570588 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path d=\"M 76.129412 140.241176 \nL 133.570588 140.241176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path d=\"M 76.129412 82.8 \nL 133.570588 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_27\">\n    <path d=\"M 145.058824 140.241176 \nL 202.5 140.241176 \nL 202.5 82.8 \nL 145.058824 82.8 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p165db2960a)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAFAAAABQCAYAAACOEfKtAAABOUlEQVR4nO3bsQnCABRFURUFCyewsxUE93EJh3GIdHaZII0rOIFgI5Y2cYjT3tO/EC6/CmT5+/3mBXi9XjJf3G432j+fT9pfLhfar2idAqoCogKiAqICogKiAqICogKiAqICogKiAqICouXn86HvgeM40gtcr1fab7db2m82G9p3gaiAqICogKiAqICogKiAqICogKiAqICogKiAqIBofb/f6QHTNNH+cDjQ/vF40P54PNK+C0QFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVE69PpRA/Y7/e0f7/ftD+fz7RfreyGukBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAtJznmf4X/n6/9AL6v+8wDLTf7Xa07wJRAVEBUQFRAVEBUQFRAVEBUQFRAVEBUQFRAVEB0R8feijRUqB9LgAAAABJRU5ErkJggg==\" id=\"image6eda51338d\" transform=\"scale(1 -1) translate(0 -57.6)\" x=\"145.058824\" y=\"-82.641176\" width=\"57.6\" height=\"57.6\"/>\n   </g>\n   <g id=\"patch_28\">\n    <path d=\"M 145.058824 140.241176 \nL 145.058824 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_29\">\n    <path d=\"M 202.5 140.241176 \nL 202.5 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_30\">\n    <path d=\"M 145.058824 140.241176 \nL 202.5 140.241176 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_31\">\n    <path d=\"M 145.058824 82.8 \nL 202.5 82.8 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p782819b49d\">\n   <rect x=\"7.2\" y=\"7.2\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n  <clipPath id=\"pddc870aa7d\">\n   <rect x=\"76.129412\" y=\"7.2\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n  <clipPath id=\"p8efdc3c337\">\n   <rect x=\"145.058824\" y=\"7.2\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n  <clipPath id=\"p2d2c0f6d09\">\n   <rect x=\"7.2\" y=\"82.8\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n  <clipPath id=\"p1531277d53\">\n   <rect x=\"76.129412\" y=\"82.8\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n  <clipPath id=\"p165db2960a\">\n   <rect x=\"145.058824\" y=\"82.8\" width=\"57.441176\" height=\"57.441176\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_filters(net.to(\"cpu\")[1].weight.data.reshape(6, 5, 5), n_cols=3, n_rows=2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:57.751562Z",
     "start_time": "2024-07-16T08:36:57.624024Z"
    }
   },
   "id": "bcbd8c332b1315c9",
   "execution_count": 58
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "# visualize the result of evaluation\n",
    "def get_mnist_labels(labels):\n",
    "    text_labels = ['0', '1', '2', '3', '4',\n",
    "                   '5', '6', '7', '8', '9']\n",
    "    return [text_labels[int(i)] for i in labels]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:57.755885Z",
     "start_time": "2024-07-16T08:36:57.752973Z"
    }
   },
   "id": "399706d680a703b",
   "execution_count": 59
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def predict_and_show(net, test_iter, n=6):\n",
    "    for X, y in test_iter:\n",
    "        break\n",
    "    trues = get_mnist_labels(y)\n",
    "    preds = get_mnist_labels(net(X).argmax(axis=1))\n",
    "    titles = [true + \"->\" + pred for true, pred in zip(trues, preds)]\n",
    "    d2l.show_images(X[0:n].reshape((n, 28, 28)), 2, 5, titles=titles[0:n], scale=2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:57.764608Z",
     "start_time": "2024-07-16T08:36:57.756976Z"
    }
   },
   "id": "41e728abdb12bcad",
   "execution_count": 60
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1000x400 with 10 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"572.4pt\" height=\"246.685022pt\" viewBox=\"0 0 572.4 246.685022\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2024-07-16T16:36:58.358205</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 246.685022 \nL 572.4 246.685022 \nL 572.4 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 7.2 118.525022 \nL 103.406897 118.525022 \nL 103.406897 22.318125 \nL 7.2 22.318125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pdd7a746119)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image9766ae422a\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"7.2\" y=\"-22.045022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 7.2 118.525022 \nL 7.2 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 103.406897 118.525022 \nL 103.406897 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 7.2 118.525022 \nL 103.406897 118.525022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 7.2 22.318125 \nL 103.406897 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_1\">\n    <!-- 7-&gt;7 -->\n    <g transform=\"translate(40.475948 16.318125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-37\" d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-2d\" d=\"M 313 2009 \nL 1997 2009 \nL 1997 1497 \nL 313 1497 \nL 313 2009 \nz\n\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-3e\" d=\"M 678 3150 \nL 678 3719 \nL 4684 2266 \nL 4684 1747 \nL 678 294 \nL 678 863 \nL 3897 2003 \nL 678 3150 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-37\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-37\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 122.648276 118.525022 \nL 218.855172 118.525022 \nL 218.855172 22.318125 \nL 122.648276 22.318125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p32c7dd5650)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagebb47fece21\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"122.648276\" y=\"-22.045022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 122.648276 118.525022 \nL 122.648276 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 218.855172 118.525022 \nL 218.855172 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 122.648276 118.525022 \nL 218.855172 118.525022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 122.648276 22.318125 \nL 218.855172 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_2\">\n    <!-- 2-&gt;2 -->\n    <g transform=\"translate(155.924224 16.318125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-32\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-32\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 238.096552 118.525022 \nL 334.303448 118.525022 \nL 334.303448 22.318125 \nL 238.096552 22.318125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p914ae9f6a9)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image6bd7705d23\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"238.096552\" y=\"-22.045022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 238.096552 118.525022 \nL 238.096552 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 334.303448 118.525022 \nL 334.303448 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path d=\"M 238.096552 118.525022 \nL 334.303448 118.525022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path d=\"M 238.096552 22.318125 \nL 334.303448 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_3\">\n    <!-- 1-&gt;1 -->\n    <g transform=\"translate(271.3725 16.318125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-31\" d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-31\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-31\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_17\">\n    <path d=\"M 353.544828 118.525022 \nL 449.751724 118.525022 \nL 449.751724 22.318125 \nL 353.544828 22.318125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p8ec890b288)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image324f6af0a4\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"353.544828\" y=\"-22.045022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path d=\"M 353.544828 118.525022 \nL 353.544828 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 449.751724 118.525022 \nL 449.751724 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 353.544828 118.525022 \nL 449.751724 118.525022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 353.544828 22.318125 \nL 449.751724 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_4\">\n    <!-- 0-&gt;0 -->\n    <g transform=\"translate(386.820776 16.318125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-30\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-30\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_22\">\n    <path d=\"M 468.993103 118.525022 \nL 565.2 118.525022 \nL 565.2 22.318125 \nL 468.993103 22.318125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pbbad6192fa)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imageca7bc95339\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"468.993103\" y=\"-22.045022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path d=\"M 468.993103 118.525022 \nL 468.993103 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path d=\"M 565.2 118.525022 \nL 565.2 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path d=\"M 468.993103 118.525022 \nL 565.2 118.525022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path d=\"M 468.993103 22.318125 \nL 565.2 22.318125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_5\">\n    <!-- 4-&gt;4 -->\n    <g transform=\"translate(502.269052 16.318125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-34\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-34\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_27\">\n    <path d=\"M 7.2 239.485022 \nL 103.406897 239.485022 \nL 103.406897 143.278125 \nL 7.2 143.278125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p45ac6402b3)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagea641f748a8\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"7.2\" y=\"-143.005022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_28\">\n    <path d=\"M 7.2 239.485022 \nL 7.2 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_29\">\n    <path d=\"M 103.406897 239.485022 \nL 103.406897 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_30\">\n    <path d=\"M 7.2 239.485022 \nL 103.406897 239.485022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_31\">\n    <path d=\"M 7.2 143.278125 \nL 103.406897 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_6\">\n    <!-- 1-&gt;1 -->\n    <g transform=\"translate(40.475948 137.278125) scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-31\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-31\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_7\">\n   <g id=\"patch_32\">\n    <path d=\"M 122.648276 239.485022 \nL 218.855172 239.485022 \nL 218.855172 143.278125 \nL 122.648276 143.278125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pbfe6b3d065)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image6061cb2cd0\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"122.648276\" y=\"-143.005022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_33\">\n    <path d=\"M 122.648276 239.485022 \nL 122.648276 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_34\">\n    <path d=\"M 218.855172 239.485022 \nL 218.855172 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_35\">\n    <path d=\"M 122.648276 239.485022 \nL 218.855172 239.485022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_36\">\n    <path d=\"M 122.648276 143.278125 \nL 218.855172 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_7\">\n    <!-- 4-&gt;4 -->\n    <g transform=\"translate(155.924224 137.278125) scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-34\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-34\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_8\">\n   <g id=\"patch_37\">\n    <path d=\"M 238.096552 239.485022 \nL 334.303448 239.485022 \nL 334.303448 143.278125 \nL 238.096552 143.278125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p129ef64ee5)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imageb1c8ba72ee\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"238.096552\" y=\"-143.005022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_38\">\n    <path d=\"M 238.096552 239.485022 \nL 238.096552 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_39\">\n    <path d=\"M 334.303448 239.485022 \nL 334.303448 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_40\">\n    <path d=\"M 238.096552 239.485022 \nL 334.303448 239.485022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_41\">\n    <path d=\"M 238.096552 143.278125 \nL 334.303448 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_8\">\n    <!-- 9-&gt;9 -->\n    <g transform=\"translate(271.3725 137.278125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-39\" d=\"M 703 97 \nL 703 672 \nQ 941 559 1184 500 \nQ 1428 441 1663 441 \nQ 2288 441 2617 861 \nQ 2947 1281 2994 2138 \nQ 2813 1869 2534 1725 \nQ 2256 1581 1919 1581 \nQ 1219 1581 811 2004 \nQ 403 2428 403 3163 \nQ 403 3881 828 4315 \nQ 1253 4750 1959 4750 \nQ 2769 4750 3195 4129 \nQ 3622 3509 3622 2328 \nQ 3622 1225 3098 567 \nQ 2575 -91 1691 -91 \nQ 1453 -91 1209 -44 \nQ 966 3 703 97 \nz\nM 1959 2075 \nQ 2384 2075 2632 2365 \nQ 2881 2656 2881 3163 \nQ 2881 3666 2632 3958 \nQ 2384 4250 1959 4250 \nQ 1534 4250 1286 3958 \nQ 1038 3666 1038 3163 \nQ 1038 2656 1286 2365 \nQ 1534 2075 1959 2075 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-39\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-39\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_9\">\n   <g id=\"patch_42\">\n    <path d=\"M 353.544828 239.485022 \nL 449.751724 239.485022 \nL 449.751724 143.278125 \nL 353.544828 143.278125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pcea4a82019)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAIYAAACGCAYAAAAYefKRAAAE5UlEQVR4nO3db0zUdQDH8bsDBHEoGIX9I9AQWX8cOjRrzViZZbiVY9VWUU/aqpXVWqtmj2rrcXORbkmbG9WDVm3VzNrYLLdStFrNgLtZatSD1AIMU8A7evzj83F3HHfcAe/Xs+9nX+6+ug/ffXfc7/cL3xFuHQ8BE0RyvQDkJ4oBi2LAohiwKAYsigGLYsCiGLAoBiyKAYtiwKIYsCgGLIoBi2LAohiwKAYsigGrMNcLyCd/bb1Zsn+bzkm24tXTgfGFE/1ZW1OusGPAohiwKAYsigFrThw+C2uqJYu/G5dse83bkq0r1nkffVUZGG/b84DMufb5A5NZYt5hx4BFMWBRDFgUA1Z4Nl7UHCkrC4xPvn+5zDmw6oOMvd/I+JhkLT0PSlZ6/4Bk8cGhjK0jk9gxYFEMWBQDFsWANSsPn/HmVYHxF53vpP1ajxzfINnumi8D40iKv1/1XY9LVtf2Q3oLyzJ2DFgUAxbFgDUr/7r6+8bipHP+Gx+VbPU3T0p2za4CydZsbQuMDzd1prSu6iX/pDQvH7BjwKIYsCgGLIoBa0YdPs+2rpUsXhSWbPOGg0lfqzQ8T7Le9R06cX1qa5tt2DFgUQxYFAMWxYCV9cNnuFDfYvS2lYFx21ufyZzSyIhkLaXdkhWF9ZPJfJAIJST74yf9iuGy0PFpWM3ksWPAohiwKAYsigEr64fPaHujZLGWnWm+Wn4eNLtH9NPX53oekmzZi99Nx3Iygh0DFsWARTFgZf2McWyzfnV/LM0LFsbG9SYm13c9IdmiQyWB8fBV+oYLf9PXr/z5bErrOH3jgsC4at9JmbM4FkvptfIVOwYsigGLYsCiGLCyfvjsHtGbijTOC/ZxIHFe5qz78AXJaj/Va0Hq9iW/9vOypDMmp3LCDfn0SDzzsWPAohiwKAYsigEr6zdOOdqpf13ta94VGN9+pFXmzN94LGtrQnLsGLAoBiyKAYtiwMr6J59lB+dr2BwcPlvbJVM6luvd8uKxXzO1LCTBjgGLYsCiGLAoBqysf/JZUFEhWd/rywPj6H36kLrv9Zrm0Gtr75IsfupU+ovDRbFjwKIYsCgGrJw8liJSErzuY/Rz/fLd3oZPJKv/+CnJVmzrlSx+5swUVodQiB0DF0ExYFEMWBQDVk5uGZ04H7yOpLhVH0r7xtc3SBbdoh+E3XL4ackqdie/QUnBdfWSxX+J6ryGOp0XnXBFdGL2XVnCjgGLYsCiGLAoBqy8eF5JfFAPn9331EpW/9KtklWNJv/gduTuJsnad2yXrP9CuWRXF+pB9rEjjwbGA72X6LoO6brKv+2XbHx4ODB2/xe5wI4Bi2LAohiwKAasnPzZfbqdu3eNZF3tO3KwErVzcGlg/N4JPShPxaJNR9P6OXYMWBQDFsWARTFgzYnDZ2Rlg2R9zyyQbP+db0p2aUGxvt4M+n1quXJ1Wj83c/6FmFYUAxbFgDUnzhhTMfTwTZL9vSn41cSXG/fKnLaFf6b1fh1D1ZJtKdNnn1RESiRzOGMgoygGLIoBi2LA4vCZAYVLqiQbrbsirdcqiumhNfrKUsnKe/QhwIt79bkvkf0/prUOdgxYFAMWxYBFMWBx+ITFjgGLYsCiGLAoBiyKAYtiwKIYsCgGLIoBi2LAohiwKAYsigGLYsCiGLAoBiyKAYtiwPofl6Tj5VAMizUAAAAASUVORK5CYII=\" id=\"image858010c071\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"353.544828\" y=\"-143.005022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_43\">\n    <path d=\"M 353.544828 239.485022 \nL 353.544828 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_44\">\n    <path d=\"M 449.751724 239.485022 \nL 449.751724 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_45\">\n    <path d=\"M 353.544828 239.485022 \nL 449.751724 239.485022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_46\">\n    <path d=\"M 353.544828 143.278125 \nL 449.751724 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_9\">\n    <!-- 5-&gt;5 -->\n    <g transform=\"translate(386.820776 137.278125) scale(0.12 -0.12)\">\n     <defs>\n      <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-35\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-35\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_10\">\n   <g id=\"patch_47\">\n    <path d=\"M 468.993103 239.485022 \nL 565.2 239.485022 \nL 565.2 143.278125 \nL 468.993103 143.278125 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p7052239724)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image0d9b1eaf38\" transform=\"scale(1 -1) translate(0 -96.48)\" x=\"468.993103\" y=\"-143.005022\" width=\"96.48\" height=\"96.48\"/>\n   </g>\n   <g id=\"patch_48\">\n    <path d=\"M 468.993103 239.485022 \nL 468.993103 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_49\">\n    <path d=\"M 565.2 239.485022 \nL 565.2 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_50\">\n    <path d=\"M 468.993103 239.485022 \nL 565.2 239.485022 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_51\">\n    <path d=\"M 468.993103 143.278125 \nL 565.2 143.278125 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"text_10\">\n    <!-- 9-&gt;9 -->\n    <g transform=\"translate(502.269052 137.278125) scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-39\"/>\n     <use xlink:href=\"#DejaVuSans-2d\" x=\"63.623047\"/>\n     <use xlink:href=\"#DejaVuSans-3e\" x=\"99.707031\"/>\n     <use xlink:href=\"#DejaVuSans-39\" x=\"183.496094\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pdd7a746119\">\n   <rect x=\"7.2\" y=\"22.318125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p32c7dd5650\">\n   <rect x=\"122.648276\" y=\"22.318125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p914ae9f6a9\">\n   <rect x=\"238.096552\" y=\"22.318125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p8ec890b288\">\n   <rect x=\"353.544828\" y=\"22.318125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"pbbad6192fa\">\n   <rect x=\"468.993103\" y=\"22.318125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p45ac6402b3\">\n   <rect x=\"7.2\" y=\"143.278125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"pbfe6b3d065\">\n   <rect x=\"122.648276\" y=\"143.278125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p129ef64ee5\">\n   <rect x=\"238.096552\" y=\"143.278125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"pcea4a82019\">\n   <rect x=\"353.544828\" y=\"143.278125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n  <clipPath id=\"p7052239724\">\n   <rect x=\"468.993103\" y=\"143.278125\" width=\"96.206897\" height=\"96.206897\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict_and_show(net, test_iter, n=10)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.399987Z",
     "start_time": "2024-07-16T08:36:57.766137Z"
    }
   },
   "id": "a14cbf6d156d4071",
   "execution_count": 61
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def show_images(imgs, num_rows, num_cols, titles=None, scale=1.5):\n",
    "    \"\"\"Plot a list of images.\"\"\"\n",
    "    figsize = (num_cols * scale, num_rows * scale)\n",
    "    _, axes = d2l.plt.subplots(num_rows, num_cols, figsize=figsize)\n",
    "    axes = axes.flatten()\n",
    "    for i, (ax, img) in enumerate(zip(axes, imgs)):\n",
    "        if torch.is_tensor(img):\n",
    "            ax.imshow(img.numpy())\n",
    "        else:\n",
    "            ax.imshow(img)\n",
    "        ax.axes.get_xaxis().set_visible(False)\n",
    "        ax.axes.get_yaxis().set_visible(False)\n",
    "        if titles:\n",
    "            ax.set_title(titles[i])\n",
    "    return axes"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.406223Z",
     "start_time": "2024-07-16T08:36:58.401845Z"
    }
   },
   "id": "2f9f9837bb2750c7",
   "execution_count": 62
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def extract_first_layer(net):\n",
    "    return nn.Sequential(*[net[i] for i in range(0,5)])"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.420561Z",
     "start_time": "2024-07-16T08:36:58.408522Z"
    }
   },
   "id": "81520aa725d216c7",
   "execution_count": 63
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "layer = extract_first_layer(net)\n",
    "X = layer(next(iter(test_iter))[0])"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.648275Z",
     "start_time": "2024-07-16T08:36:58.421864Z"
    }
   },
   "id": "1a245300dc1673fb",
   "execution_count": 64
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "array([<Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >,\n       <Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >,\n       <Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >, <Axes: >,\n       <Axes: >, <Axes: >], dtype=object)"
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 750x600 with 20 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"432.9pt\" height=\"346.882129pt\" viewBox=\"0 0 432.9 346.882129\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2024-07-16T16:36:58.914021</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 346.882129 \nL 432.9 346.882129 \nL 432.9 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 7.2 79.355172 \nL 79.355172 79.355172 \nL 79.355172 7.2 \nL 7.2 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p22e4a20893)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagea8baa307c0\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"7.2\" y=\"-6.635172\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 7.2 79.355172 \nL 7.2 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 79.355172 79.355172 \nL 79.355172 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 7.2 79.355172 \nL 79.355172 79.355172 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 7.2 7.2 \nL 79.355172 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 93.786207 79.355172 \nL 165.941379 79.355172 \nL 165.941379 7.2 \nL 93.786207 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p990e5bb390)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image48226a7cac\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"93.786207\" y=\"-6.635172\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 93.786207 79.355172 \nL 93.786207 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 165.941379 79.355172 \nL 165.941379 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 93.786207 79.355172 \nL 165.941379 79.355172 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 93.786207 7.2 \nL 165.941379 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 180.372414 79.355172 \nL 252.527586 79.355172 \nL 252.527586 7.2 \nL 180.372414 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p5b2ec1be9c)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image8d6918ca4f\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"180.372414\" y=\"-6.635172\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 180.372414 79.355172 \nL 180.372414 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 252.527586 79.355172 \nL 252.527586 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path d=\"M 180.372414 79.355172 \nL 252.527586 79.355172 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path d=\"M 180.372414 7.2 \nL 252.527586 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_17\">\n    <path d=\"M 266.958621 79.355172 \nL 339.113793 79.355172 \nL 339.113793 7.2 \nL 266.958621 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p83c26839c6)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagebeda161ead\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"266.958621\" y=\"-6.635172\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path d=\"M 266.958621 79.355172 \nL 266.958621 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 339.113793 79.355172 \nL 339.113793 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 266.958621 79.355172 \nL 339.113793 79.355172 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 266.958621 7.2 \nL 339.113793 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_22\">\n    <path d=\"M 353.544828 79.355172 \nL 425.7 79.355172 \nL 425.7 7.2 \nL 353.544828 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p9963b8f998)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image4cf0a57d67\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"353.544828\" y=\"-6.635172\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path d=\"M 353.544828 79.355172 \nL 353.544828 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path d=\"M 425.7 79.355172 \nL 425.7 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path d=\"M 353.544828 79.355172 \nL 425.7 79.355172 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path d=\"M 353.544828 7.2 \nL 425.7 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_27\">\n    <path d=\"M 7.2 166.130825 \nL 79.355172 166.130825 \nL 79.355172 93.975652 \nL 7.2 93.975652 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1dedd355c4)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAGUAAABlCAYAAABUfC3PAAABqklEQVR4nO3dPy5EYRhG8febuURzmZBIdP4EiZZaohGNRcxGrEBlJfagVBAKrZbCjCknLjbxFKc4vwU8ucnJW33FbXdvF38VdPtwlZyr1c8uuldVNayF9/ohujeKrinCKEBGATIKkFGAjAJkFCCjABkFyChARgEyCpBRgIwCZBQgowAZBcgoQEYBaif3N9E3+r3Nr+RcHfcf0b2qquvJU3TvPPzm76UAGQXIKEBGATIKkFGAjAJkFCCjABkFyChARgEyCpBRgIwCZBQgowAZBcgoQN3P8yQ6OHvpo3uv71vRvaqqx52z6N737kp0z0sBMgqQUYCMAmQUIKMAGQXIKEBGATIKkFGAjAJkFCCjABkFyChARgEyCpBRgIwC1I2W2cHZ0Ti6Nz/YiO5VVbXf7N4y/IleCpBRgIwCZBQgowAZBcgoQEYBMgqQUYCMAmQUIKMAGQXIKEBGATIKkFGAjALULten0R8QtNaSczUsFtG9qqrx4X50b366Hd3zUoCMAmQUIKMAGQXIKEBGATIKkFGAjAJkFCCjABkFyChARgEyCpBRgIwCZBSgfz54Igp3BMigAAAAAElFTkSuQmCC\" id=\"image7b47f7b97c\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"7.2\" y=\"-93.410825\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_28\">\n    <path d=\"M 7.2 166.130825 \nL 7.2 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_29\">\n    <path d=\"M 79.355172 166.130825 \nL 79.355172 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_30\">\n    <path d=\"M 7.2 166.130825 \nL 79.355172 166.130825 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_31\">\n    <path d=\"M 7.2 93.975652 \nL 79.355172 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_7\">\n   <g id=\"patch_32\">\n    <path d=\"M 93.786207 166.130825 \nL 165.941379 166.130825 \nL 165.941379 93.975652 \nL 93.786207 93.975652 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pa28036f96e)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagefece62027d\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"93.786207\" y=\"-93.410825\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_33\">\n    <path d=\"M 93.786207 166.130825 \nL 93.786207 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_34\">\n    <path d=\"M 165.941379 166.130825 \nL 165.941379 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_35\">\n    <path d=\"M 93.786207 166.130825 \nL 165.941379 166.130825 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_36\">\n    <path d=\"M 93.786207 93.975652 \nL 165.941379 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_8\">\n   <g id=\"patch_37\">\n    <path d=\"M 180.372414 166.130825 \nL 252.527586 166.130825 \nL 252.527586 93.975652 \nL 180.372414 93.975652 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p98cc86016c)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image8b3393ae50\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"180.372414\" y=\"-93.410825\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_38\">\n    <path d=\"M 180.372414 166.130825 \nL 180.372414 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_39\">\n    <path d=\"M 252.527586 166.130825 \nL 252.527586 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_40\">\n    <path d=\"M 180.372414 166.130825 \nL 252.527586 166.130825 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_41\">\n    <path d=\"M 180.372414 93.975652 \nL 252.527586 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_9\">\n   <g id=\"patch_42\">\n    <path d=\"M 266.958621 166.130825 \nL 339.113793 166.130825 \nL 339.113793 93.975652 \nL 266.958621 93.975652 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p645167c65e)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagec6f282730e\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"266.958621\" y=\"-93.410825\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_43\">\n    <path d=\"M 266.958621 166.130825 \nL 266.958621 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_44\">\n    <path d=\"M 339.113793 166.130825 \nL 339.113793 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_45\">\n    <path d=\"M 266.958621 166.130825 \nL 339.113793 166.130825 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_46\">\n    <path d=\"M 266.958621 93.975652 \nL 339.113793 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_10\">\n   <g id=\"patch_47\">\n    <path d=\"M 353.544828 166.130825 \nL 425.7 166.130825 \nL 425.7 93.975652 \nL 353.544828 93.975652 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1732f89a79)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image8dc0254daf\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"353.544828\" y=\"-93.410825\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_48\">\n    <path d=\"M 353.544828 166.130825 \nL 353.544828 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_49\">\n    <path d=\"M 425.7 166.130825 \nL 425.7 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_50\">\n    <path d=\"M 353.544828 166.130825 \nL 425.7 166.130825 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_51\">\n    <path d=\"M 353.544828 93.975652 \nL 425.7 93.975652 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_11\">\n   <g id=\"patch_52\">\n    <path d=\"M 7.2 252.906477 \nL 79.355172 252.906477 \nL 79.355172 180.751304 \nL 7.2 180.751304 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p5583465f72)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image6c3b91d1c5\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"7.2\" y=\"-180.186477\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_53\">\n    <path d=\"M 7.2 252.906477 \nL 7.2 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_54\">\n    <path d=\"M 79.355172 252.906477 \nL 79.355172 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_55\">\n    <path d=\"M 7.2 252.906477 \nL 79.355172 252.906477 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_56\">\n    <path d=\"M 7.2 180.751304 \nL 79.355172 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_12\">\n   <g id=\"patch_57\">\n    <path d=\"M 93.786207 252.906477 \nL 165.941379 252.906477 \nL 165.941379 180.751304 \nL 93.786207 180.751304 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p3aafa3fca0)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagedf2683279b\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"93.786207\" y=\"-180.186477\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_58\">\n    <path d=\"M 93.786207 252.906477 \nL 93.786207 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_59\">\n    <path d=\"M 165.941379 252.906477 \nL 165.941379 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_60\">\n    <path d=\"M 93.786207 252.906477 \nL 165.941379 252.906477 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_61\">\n    <path d=\"M 93.786207 180.751304 \nL 165.941379 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_13\">\n   <g id=\"patch_62\">\n    <path d=\"M 180.372414 252.906477 \nL 252.527586 252.906477 \nL 252.527586 180.751304 \nL 180.372414 180.751304 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p7e66f8783f)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image63e8018a11\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"180.372414\" y=\"-180.186477\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_63\">\n    <path d=\"M 180.372414 252.906477 \nL 180.372414 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_64\">\n    <path d=\"M 252.527586 252.906477 \nL 252.527586 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_65\">\n    <path d=\"M 180.372414 252.906477 \nL 252.527586 252.906477 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_66\">\n    <path d=\"M 180.372414 180.751304 \nL 252.527586 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_14\">\n   <g id=\"patch_67\">\n    <path d=\"M 266.958621 252.906477 \nL 339.113793 252.906477 \nL 339.113793 180.751304 \nL 266.958621 180.751304 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p3375eb4dfd)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image9eef0905e9\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"266.958621\" y=\"-180.186477\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_68\">\n    <path d=\"M 266.958621 252.906477 \nL 266.958621 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_69\">\n    <path d=\"M 339.113793 252.906477 \nL 339.113793 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_70\">\n    <path d=\"M 266.958621 252.906477 \nL 339.113793 252.906477 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_71\">\n    <path d=\"M 266.958621 180.751304 \nL 339.113793 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_15\">\n   <g id=\"patch_72\">\n    <path d=\"M 353.544828 252.906477 \nL 425.7 252.906477 \nL 425.7 180.751304 \nL 353.544828 180.751304 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1074979707)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagec3d0d25ae5\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"353.544828\" y=\"-180.186477\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_73\">\n    <path d=\"M 353.544828 252.906477 \nL 353.544828 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_74\">\n    <path d=\"M 425.7 252.906477 \nL 425.7 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_75\">\n    <path d=\"M 353.544828 252.906477 \nL 425.7 252.906477 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_76\">\n    <path d=\"M 353.544828 180.751304 \nL 425.7 180.751304 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_16\">\n   <g id=\"patch_77\">\n    <path d=\"M 7.2 339.682129 \nL 79.355172 339.682129 \nL 79.355172 267.526957 \nL 7.2 267.526957 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p9ddb0a7704)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAGUAAABlCAYAAABUfC3PAAABvUlEQVR4nO3cvyqFcRzH8e/jDJ6SnoHFKRNZLJJJoSRODBabOldgtJtkMJjciXtQFgOSQScWWQ3yZ+AmPsN7eL8u4LO8+06/p6fZXD/9q6Dng/HkXO2u3kb3qqpWJkfRvfffLro3Fl1ThFGAjAJkFCCjABkFyChARgEyCpBRgIwCZBQgowAZBcgoQEYBMgqQUYCMAtRcPm5E3+iX2tfkXJ2M9qN7VVVfF/3oXnt1E93zUoCMAmQUIKMAGQXIKEBGATIKkFGAjAJkFCCjABkFyChARgEyCpBRgIwCZBSgZjB3HH2jf9uZSc7V99ZHdK+qariQfVPvep/RPS8FyChARgEyCpBRgIwCZBQgowAZBcgoQEYBMgqQUYCMAmQUIKMAGQXIKEBGATIKUHP+sB39cGLY3SXnaro3Ed2rqlq8PozuzZ410T0vBcgoQEYBMgqQUYCMAmQUIKMAGQXIKEBGATIKkFGAjAJkFCCjABkFyChARgFqBv2j6Bv9z3z25wYve210r6pqee0pujeYuo/ueSlARgEyCpBRgIwCZBQgowAZBcgoQEYBMgqQUYCMAmQUIKMAGQXIKEBGATIK0D+EaSVStQwiRgAAAABJRU5ErkJggg==\" id=\"image11d3956f77\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"7.2\" y=\"-266.962129\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_78\">\n    <path d=\"M 7.2 339.682129 \nL 7.2 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_79\">\n    <path d=\"M 79.355172 339.682129 \nL 79.355172 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_80\">\n    <path d=\"M 7.2 339.682129 \nL 79.355172 339.682129 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_81\">\n    <path d=\"M 7.2 267.526957 \nL 79.355172 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_17\">\n   <g id=\"patch_82\">\n    <path d=\"M 93.786207 339.682129 \nL 165.941379 339.682129 \nL 165.941379 267.526957 \nL 93.786207 267.526957 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p6c10c70c28)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image8744d7ee9d\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"93.786207\" y=\"-266.962129\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_83\">\n    <path d=\"M 93.786207 339.682129 \nL 93.786207 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_84\">\n    <path d=\"M 165.941379 339.682129 \nL 165.941379 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_85\">\n    <path d=\"M 93.786207 339.682129 \nL 165.941379 339.682129 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_86\">\n    <path d=\"M 93.786207 267.526957 \nL 165.941379 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_18\">\n   <g id=\"patch_87\">\n    <path d=\"M 180.372414 339.682129 \nL 252.527586 339.682129 \nL 252.527586 267.526957 \nL 180.372414 267.526957 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pb7f0c0c9d2)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"image43ce796ee5\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"180.372414\" y=\"-266.962129\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_88\">\n    <path d=\"M 180.372414 339.682129 \nL 180.372414 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_89\">\n    <path d=\"M 252.527586 339.682129 \nL 252.527586 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_90\">\n    <path d=\"M 180.372414 339.682129 \nL 252.527586 339.682129 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_91\">\n    <path d=\"M 180.372414 267.526957 \nL 252.527586 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_19\">\n   <g id=\"patch_92\">\n    <path d=\"M 266.958621 339.682129 \nL 339.113793 339.682129 \nL 339.113793 267.526957 \nL 266.958621 267.526957 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p13aa2ce095)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imagebdf1f1bed9\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"266.958621\" y=\"-266.962129\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_93\">\n    <path d=\"M 266.958621 339.682129 \nL 266.958621 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_94\">\n    <path d=\"M 339.113793 339.682129 \nL 339.113793 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_95\">\n    <path d=\"M 266.958621 339.682129 \nL 339.113793 339.682129 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_96\">\n    <path d=\"M 266.958621 267.526957 \nL 339.113793 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_20\">\n   <g id=\"patch_97\">\n    <path d=\"M 353.544828 339.682129 \nL 425.7 339.682129 \nL 425.7 267.526957 \nL 353.544828 267.526957 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pc644f450ff)\">\n    <image xlink:href=\"data:image/png;base64,\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\" id=\"imageb2c72b8bec\" transform=\"scale(1 -1) translate(0 -72.72)\" x=\"353.544828\" y=\"-266.962129\" width=\"72.72\" height=\"72.72\"/>\n   </g>\n   <g id=\"patch_98\">\n    <path d=\"M 353.544828 339.682129 \nL 353.544828 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_99\">\n    <path d=\"M 425.7 339.682129 \nL 425.7 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_100\">\n    <path d=\"M 353.544828 339.682129 \nL 425.7 339.682129 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_101\">\n    <path d=\"M 353.544828 267.526957 \nL 425.7 267.526957 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p22e4a20893\">\n   <rect x=\"7.2\" y=\"7.2\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p990e5bb390\">\n   <rect x=\"93.786207\" y=\"7.2\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p5b2ec1be9c\">\n   <rect x=\"180.372414\" y=\"7.2\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p83c26839c6\">\n   <rect x=\"266.958621\" y=\"7.2\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p9963b8f998\">\n   <rect x=\"353.544828\" y=\"7.2\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p1dedd355c4\">\n   <rect x=\"7.2\" y=\"93.975652\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"pa28036f96e\">\n   <rect x=\"93.786207\" y=\"93.975652\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p98cc86016c\">\n   <rect x=\"180.372414\" y=\"93.975652\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p645167c65e\">\n   <rect x=\"266.958621\" y=\"93.975652\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p1732f89a79\">\n   <rect x=\"353.544828\" y=\"93.975652\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p5583465f72\">\n   <rect x=\"7.2\" y=\"180.751304\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p3aafa3fca0\">\n   <rect x=\"93.786207\" y=\"180.751304\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p7e66f8783f\">\n   <rect x=\"180.372414\" y=\"180.751304\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p3375eb4dfd\">\n   <rect x=\"266.958621\" y=\"180.751304\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p1074979707\">\n   <rect x=\"353.544828\" y=\"180.751304\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p9ddb0a7704\">\n   <rect x=\"7.2\" y=\"267.526957\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p6c10c70c28\">\n   <rect x=\"93.786207\" y=\"267.526957\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"pb7f0c0c9d2\">\n   <rect x=\"180.372414\" y=\"267.526957\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"p13aa2ce095\">\n   <rect x=\"266.958621\" y=\"267.526957\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n  <clipPath id=\"pc644f450ff\">\n   <rect x=\"353.544828\" y=\"267.526957\" width=\"72.155172\" height=\"72.155172\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(X.detach().reshape((-1,5,5))[0:20], 4, 5)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.966081Z",
     "start_time": "2024-07-16T08:36:58.651476Z"
    }
   },
   "id": "feba52d83cae0e8e",
   "execution_count": 65
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "# save the model with constructed network\n",
    "torch.save(net.state_dict(), \"models/LeNet_MNIST.pth\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-16T08:36:58.970981Z",
     "start_time": "2024-07-16T08:36:58.967159Z"
    }
   },
   "id": "26d195521bbe79a5",
   "execution_count": 66
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}