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    "# Image Augmentation\n",
    ":label:`sec_image_augmentation`\n",
    "\n",
    "In :numref:`sec_alexnet`, \n",
    "we mentioned that large datasets \n",
    "are a prerequisite\n",
    "for the success of\n",
    "deep neural networks\n",
    "in various applications.\n",
    "*Image augmentation* \n",
    "generates similar but distinct training examples\n",
    "after a series of random changes to the training images, thereby expanding the size of the training set.\n",
    "Alternatively,\n",
    "image augmentation can be motivated\n",
    "by the fact that \n",
    "random tweaks of training examples \n",
    "allow models to less rely on\n",
    "certain attributes, thereby improving their generalization ability.\n",
    "For example, we can crop an image in different ways to make the object of interest appear in different positions, thereby reducing the dependence of a model on the position of the object. \n",
    "We can also adjust factors such as brightness and color to reduce a model's sensitivity to color.\n",
    "It is probably true\n",
    "that image augmentation was indispensable\n",
    "for the success of AlexNet at that time.\n",
    "In this section we will discuss this widely used technique in computer vision.\n"
   ]
  },
  {
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     "pytorch"
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   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "import torchvision\n",
    "from torch import nn\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 3
   },
   "source": [
    "## Common Image Augmentation Methods\n",
    "\n",
    "In our investigation of common image augmentation methods, we will use the following $400\\times 500$ image an example.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "origin_pos": 5,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
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   "source": [
    "d2l.set_figsize()\n",
    "img = d2l.Image.open('../img/cat1.jpg')\n",
    "d2l.plt.imshow(img);"
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    "Most image augmentation methods have a certain degree of randomness. To make it easier for us to observe the effect of image augmentation, next we define an auxiliary function `apply`. This function runs the image augmentation method `aug` multiple times on the input image `img` and shows all the results.\n"
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    "def apply(img, aug, num_rows=2, num_cols=4, scale=1.5):\n",
    "    Y = [aug(img) for _ in range(num_rows * num_cols)]\n",
    "    d2l.show_images(Y, num_rows, num_cols, scale=scale)"
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   "source": [
    "### Flipping and Cropping\n"
   ]
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     "pytorch"
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    "[**Flipping the image left and right**] usually does not change the category of the object. \n",
    "This is one of the earliest and most widely used methods of image augmentation.\n",
    "Next, we use the `transforms` module to create the `RandomHorizontalFlip` instance, which flips\n",
    "an image left and right with a 50% chance.\n"
   ]
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   "execution_count": 4,
   "metadata": {
    "origin_pos": 12,
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     "pytorch"
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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, torchvision.transforms.RandomHorizontalFlip())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 14,
    "tab": [
     "pytorch"
    ]
   },
   "source": [
    "[**Flipping up and down**] is not as common as flipping left and right. But at least for this example image, flipping up and down does not hinder recognition.\n",
    "Next, we create a `RandomVerticalFlip` instance to flip\n",
    "an image up and down with a 50% chance.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "origin_pos": 16,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
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   "source": [
    "apply(img, torchvision.transforms.RandomVerticalFlip())"
   ]
  },
  {
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   "metadata": {
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   "source": [
    "In the example image we used, the cat is in the middle of the image, but this may not be the case in general. \n",
    "In :numref:`sec_pooling`, we explained that the pooling layer can reduce the sensitivity of a convolutional layer to the target position.\n",
    "In addition, we can also randomly crop the image to make objects appear in different positions in the image at different scales, which can also reduce the sensitivity of a model to the target position.\n",
    "\n",
    "In the code below, we [**randomly crop**] an area with an area of $10\\% \\sim 100\\%$ of the original area each time, and the ratio of width to height of this area is randomly selected from $0.5 \\sim 2$. Then, the width and height of the region are both scaled to 200 pixels. \n",
    "Unless otherwise specified, the random number between $a$ and $b$ in this section refers to a continuous value obtained by random and uniform sampling from the interval $[a, b]$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "origin_pos": 19,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
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qOKFLydp7dqsNofVIX1qlR+z7KUqhhKETDoYZo0GGdDV3jqeMRwPq9ZJqu0U0+GAInadRBnTO4Z0TXvvcm5gYqJdXKPFYm3jxO9OC+XTAw0ZzdrFlsakpy4wn9w94/a3XmI0HGDxjA2+9dkyzaxgVJW8+fcov33svwZAeBAcSKLYRCD5NONqwpe06jNb8y//1B3zy6SX/4h895M3PnTI/HPPjX7zPQB2w22qOH73GydFdBsWYweA3+NP/5x3Ozm4IMdC2DdV2R9s0PcKlp00lEWzALBceHmjuTMYURY6SiG8gM4HMKYqDg76LbyjKIR2GQjlO755weHJK06ypl0ucgdFsTjmZol2WWqCu443BkLrqsMMxvt4yyhXGGrS0+KpmcuA4Gmmy+Yxni4b33/8ArRRaQUhILbGVaKxIP4U1Gi3QNg3HR8csqy3/05+/x/PrDf/sHxpuziP5dMJ0NmS5WFM6YWAD1ma4I0v89af8yf/9YxZVx2Zxkzr0vrJxWznAEDgsFG+cjpkNFEYJzoDTjlY6fNMSmhY3HCe2MiokQDGaMJ/POLp3inUO6iUHBxPm8zHz195ifueULiR03W2umM5mhC7QRM3V2ad0bUPXBULTEHcLpiczrF+w22kurjrOLs5T8bA2MaxpDAyA1QYQlYiuqLEmVRdbFGyWDX/241d875fXnB6P+ae/95uMRy2j2QWDzGHpqdNmx4Es+Xe/dJ/3r+GX776P+LZH3SbN4Powm+TCmyc580nGMDNEX2MNZJlBgknTk6Iktg3Be3wQRrMRx6cnDPOcw5NTSu2Jw4wyLHn09AHTR4+YzI7omholLe2yYzDIybKM5WqD3HRsfMOm3dJt1hwOhaNZgYjiZiV8+y9/xna7gxjSOD/SF43Eeds0degb+t5QTdXgygIxji4G1nXL5tMb/vBPfsg/+Xtf5fNHJ7hcCKGj2S1Zvbpie3bFl7/yVb42vcu3xoa/+uv3WK42Pd0qQGCca956OGOWCcPcoIlol5HnFsOee7IY57i5vmHXekazOfcfPWaQOeZ373H3zjFHk5Ld5SewuOThoxNGJ0dk5ZDYarqqI4hDwprxcE6mNLtBy0ArTB0YHhQ8OJ1x+uA+2g349N1XfOu7P0psKSkdoDTRh74XDdgQO5QorHGgFSEK292GQkWKImO33iCJHOLZ8zP+9R//FX/wD77Kl+9nyHbB+SevOHt5yehgxp35AO+v+drTQwblgO/+259xeb1A0XFn6HjzyQnzSY5qt5RlRlPVDIZDdPSI9zitIB/QVB1V3XFy7x7HD15jXDpGLvDg0V0OJpb794/YcM221RwcH5MNS4SALhyq6zBjS7uoMLphNMp4cP8IcUOqqqWqGorBADW6yy8+3vCH/9d73Gx2eElnGULcs2ep50Nho/fo3kASQelUp7uqIitK8jxPjSPJ9c7Pr/jmt39C+/UnHHVnrC8u0Vpz//E9CiusdxXTQvHmoSL/+lt88Pya5vwj7s6nPHj9EbFa43CJ5wnCbDJht7qmDR6b5TQhUG13nJyc8OitNzi89wi1OmPkWu4f5IxLYTJQlEcT7HqAKwdYZyB2mDzDUmKKAxweMxih3YBDqzCDQ7rtiqvzS85Win/9v7/D//Gtd3h2tiRE6atvEoX03Q/GpJbFKpJRJPbQXhIcDyjq3S6FgNGk+VwCeS9fXfDN76z4ndcnjCM8fnKPg6MZoaswgPEb4uqaeTZC3RuxYsz9J08pxyPaWFE6S1s1DEYlZeGgcSgfyMYTqt0Wq0c8fuM1Du+dcufkADcJ2O6GeVEzHheY5oZ8lLOxiQO3WUZoKrTNUXmByie40QGqHKTn0haRyHZTcbaE/+q//zP+zQ9/RYch9slZo9Jgo2c6iCAhsQ9WmSSvkSTtAK16hKtRMVA3IdEY/XxM6+SGNwvPi82Urz15wOTuKWIM9XbD7nrJ+uaG6A1CDXVLZhR5kZNZTTlwjIaOnfLMD48SS+AHGImMZyVLaRmMMh49PmV6fMzBpKQcjekWawpWuOCJscOMZuR5Qag2MJxjnEPZEukqCBXS1aANggU7YrXyfHAW+W//x7/gu++8T90FTObQyuClTY20SlKcGAUtiiCJ07JGJeo0SOyJsz0dm9CziKTOHYWYfhigFUHgshKywztUbcCsa+J6y/LskqAtylh2qx1t06JiwG+X5MNDimHB0dGUZeiYTEZsdjvioKDQQjnIwBeMDw6Ylo6DccZ8NsBVa+raYJVHh4quXmHGA5yNsDtD+RmibapOANESsRgzRKKm2q1557s/4L/7n7/Hjz+8oA0B3U98IaL6VCMJ7aK1JpCULKLAxr4BVD1wUv0gkdghUSVApTUxBrSKoDRaWZQx7LYVTbXj8mbJ0llyLYgrUNrQVS0hRlyWIb7B4cl1xBpHnjlyZzHSMiosxjtwiuFsQlFkPHj6mJP7jzFGM8gMFkd0gcF4ijEQ/Zp8dofJ0TV+9Sm11JjxHewsIiH1e9qOaTYb2u2K9eUrXFxS0GBUIv9ij9+0JAowqv1w0kNMBjQiiU/S/fxMG9tDgdR0Hk3GZM7y8uaGIKl8P71/TFmWbHYVu7plPHAQIod375PlFunqFHK7ml0AZSxlOaLzLfVqgTocgXIE78nznEx5RAkNEVtkWCXYwYDTBw85mM+oVjdkpiMbTZDthGJ+ip3eQb18Fz08ZvDQ4DefUp99DOsrst0aN71PJEOisHrxEbFZE5oKozrevj/gJx+cUUmWqJB+7i8qjcpiT9ko0hhdIYjSqS1hPxTqG1C044uff5t7p3f58Pkrzs5fcDw0PDg9JLgM5wbpNLqO4XhGOR7hjOBpWXtPFwSlLHnhMFbje+ayXt5QjEcgI7QRuqamcIpQ7SjzKcPCEE0OtqQYj/HVgix3FNNDjIqY4Qw9vENxV6FMhnEl+vApqBIVGmLv4UQNytBst2i/SfxTiMxyxRsHhu9/2hCUS0o+rZCQZEX9OCgxlpJSjDIWm+R+PenV636UViw3Gx5Zw5MnrzEbG2bDDOMrmn6c5PIhw1HJbDoAhLaDto7EkJjDiGU0GhNCR5FpBpmlrVu0WlFvCowEYmjxaMaFY3YwYDwt2daRan2DcDdJAcsBZniIcQXKGsRXKJuDMkjsQOeY8gCFT+KOfIrfVYS2patWFIXCiKIsHNNJyVc+d49ny2c8W3XsuVWhF0z0OgbfT3Lph6o28fhqP5i9ZQk/fPac06MxzmlKp5nOj7n55EPG4wHj2Yxt1GQ2kA+H+M2S2HqCRHzXsd3W6MGUvHBIEGYnh3SrJToKqmno1mtcrlAxYKzjweffYDgZYzOFXeygXkAM5KMprpymBGscuEH6HoL4BtG96sW6pGrBoUyBkh2+3uDyHKUhhppiNOLo7iFxMOHry4bFDz9h24dlGoWBEpXUdRISs5l6NnQaWfdz2CSIBCJ13fLDn/yK5fk5Tjquzj5hJpZHs8dMB3NOjw7xvkOipOmq8kjoaNoOL4aizDBaGJcZx8dzRgPHdJxjNTTrNdK1dNuGyXhIPsgpRyXj0ZD5wYz5wQwlHfn4CGUc+B0SasTXiG+Skbo6aYhIZD86R9scqVdIfU3YXWOtod6sadsOtKEYDsiM5v4858v3B7jYfaZhIClKNGC0hR5U0g/3b51I74GlCFVTcXl9Q9e1ZE4Rt2smhSXEhsloznwyxBnD6uaGgCLYjNprmmjQWUZR5ORZRuYMo8mQ+Z05Ns/IyxyiZ7HY0nUNrrQMR+NUaYwmL3JGkzFGBXQxRlnXl/YOug3SbqBriO2WGGpiqCF66CroKsRvQXkGBzNM5hBpe+rWJXFW8GSx5fGh5cG4QdH2Y7GeJu4nvloplEkqOq169i11v4kxJKGHVAF8h9WWo8MDrpslbVxhbUdeOvIiY3mzoKkr2rbBi6CsYTydkBc5RZGjEw7l+P5dDo5njMYlzmpUjAyHOflgRD4eMxiUKBURXyUAl5tkGGV7t9dIu0tJ1TcQPCpGiF0vbNREXyMI2hWELrELw4NjbHlA28U0LooNo3HBfDrkKw9H3CmTvlz6gasgxND206AEjexezLBXqe2FEFolGjNzijt3j/Fdx9nqmuBr2voGOznBasVivebaagajEdikWxyNSsrc4Qh0TYWRkiIr0Ydz9GzC4qUlNDsO5mOKwQBDxBUlIp5CFFa3SLNAygmYEpWNwO+g61BuiLI5KoY09e3StEUZh9gMaVtityM06wQd6oCqwC8XxKbDIAxGAwYtHHeKrzy2bD6sWLa6p5fT9AcihC5JDQXSVEFHCKnbp5+La6MYjgZ0oUM7x2g8QmcZTfDkoaOrNjR1zWKhICsxdojOWqwxSX7TrFGxg2aLVkNsVmKUMJzNMDLg3pNHDA9mFEWGzUsiYAcToq/T6EcD0oAZAhqd009kDNI1EBOax9h+8pwjbYVSEVsOMXaEmAY3yViuO2zmsJnCeMNwkBNEuK8cr98E3nnZEFQ/Q1Rpy8GHrsdJvQ4neU5yudBTrBYoMosxlnazZH40R7IBUSu6pmK3Wfdax8BmtWE6P2I0mVIOkwJWQsCIx4SaWC1QboCYjIPTe1haxnfvUQ4G5MNRKhghoJxBqzTWUbEFNwYzSrojXPKY0CLWoCRVNZXP+slriypG2GyACy1RDKVSdCHStTVudIirtwysQvJA0Du22yueno74YNlyU+2ROLdUCftwS/8R0eg0ru4L3XSYc3Q0J3YNvmloDAyGc8rC4qslu9WK0WiEsZYsK/BNTTEssJmj3W7ItCEzwmg8onCWoDU2yxnPD1GxpRwfklmDKYZp1h93KG2TnMcY0AZlhsAQdI04m6TJ6ETvSABvwY5RJgI9viEmbwwaQ6S+vmR5dYGdnlJOT9BNS8yg6QzOXFNm8OR4zPL5jnCrnUxqXJRKOm6NSts5EtMPAbqX5RWZIcs01kKROarVEiWB3fImeUqWMxxPOL13zHicZMB5XmK1IS9yyvEQWxTYoiR3llCviW1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      "text/plain": [
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shape_aug = torchvision.transforms.RandomResizedCrop(\n",
    "    (200, 200), scale=(0.1, 1), ratio=(0.5, 2))\n",
    "apply(img, shape_aug)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 20
   },
   "source": [
    "### Changing Colors\n",
    "\n",
    "Another augmentation method is changing colors. We can change four aspects of the image color: brightness, contrast, saturation, and hue. In the example below, we [**randomly change the brightness**] of the image to a value between 50% ($1-0.5$) and 150% ($1+0.5$) of the original image.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "origin_pos": 22,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, torchvision.transforms.ColorJitter(\n",
    "    brightness=0.5, contrast=0, saturation=0, hue=0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 23
   },
   "source": [
    "Similarly, we can [**randomly change the hue**] of the image.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "origin_pos": 25,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
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      "text/plain": [
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, torchvision.transforms.ColorJitter(\n",
    "    brightness=0, contrast=0, saturation=0, hue=0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 26
   },
   "source": [
    "We can also create a `RandomColorJitter` instance and set how to [**randomly change the `brightness`, `contrast`, `saturation`, and `hue` of the image at the same time**].\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "origin_pos": 28,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
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     },
     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
    }
   ],
   "source": [
    "color_aug = torchvision.transforms.ColorJitter(\n",
    "    brightness=0.5, contrast=0.5, saturation=0.5, hue=0.5)\n",
    "apply(img, color_aug)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "### Combining Multiple Image Augmentation Methods\n",
    "\n",
    "In practice, we will [**combine multiple image augmentation methods**]. \n",
    "For example,\n",
    "we can combine the different image augmentation methods defined above and apply them to each image via a `Compose` instance.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "origin_pos": 31,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
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     },
     "metadata": {
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     "output_type": "display_data"
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   ],
   "source": [
    "augs = torchvision.transforms.Compose([\n",
    "    torchvision.transforms.RandomHorizontalFlip(), color_aug, shape_aug])\n",
    "apply(img, augs)"
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  },
  {
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   "metadata": {
    "origin_pos": 32
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   "source": [
    "## [**Training with Image Augmentation**]\n",
    "\n",
    "Let us train a model with image augmentation.\n",
    "Here we use the CIFAR-10 dataset instead of the Fashion-MNIST dataset that we used before. \n",
    "This is because the position and size of the objects in the Fashion-MNIST dataset have been normalized, while the color and size of the objects in the CIFAR-10 dataset have more significant differences. \n",
    "The first 32 training images in the CIFAR-10 dataset are shown below.\n"
   ]
  },
  {
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   "execution_count": 11,
   "metadata": {
    "origin_pos": 34,
    "tab": [
     "pytorch"
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   ],
   "source": [
    "all_images = torchvision.datasets.CIFAR10(train=True, root=\"../data\",\n",
    "                                          download=True)\n",
    "d2l.show_images([all_images[i][0] for i in range(32)], 4, 8, scale=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 35
   },
   "source": [
    "In order to obtain definitive results during prediction, we usually only apply image augmentation to training examples, and do not use image augmentation with random operations during prediction. \n",
    "[**Here we only use the simplest random left-right flipping method**]. In addition, we use a `ToTensor` instance to convert a minibatch of images into the format required by the deep learning framework, i.e., \n",
    "32-bit floating point numbers between 0 and 1 with the shape of (batch size, number of channels, height, width).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "origin_pos": 37,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "train_augs = torchvision.transforms.Compose([\n",
    "     torchvision.transforms.RandomHorizontalFlip(),\n",
    "     torchvision.transforms.ToTensor()])\n",
    "\n",
    "test_augs = torchvision.transforms.Compose([\n",
    "     torchvision.transforms.ToTensor()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 39,
    "tab": [
     "pytorch"
    ]
   },
   "source": [
    "Next, we [**define an auxiliary function to facilitate reading the image and\n",
    "applying image augmentation**]. \n",
    "The `transform` argument provided by PyTorch's\n",
    "dataset applies augmentation to transform the images.\n",
    "For\n",
    "a detailed introduction to `DataLoader`, please refer to :numref:`sec_fashion_mnist`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "origin_pos": 41,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "def load_cifar10(is_train, augs, batch_size):\n",
    "    dataset = torchvision.datasets.CIFAR10(root=\"../data\", train=is_train,\n",
    "                                           transform=augs, download=True)\n",
    "    dataloader = torch.utils.data.DataLoader(dataset, batch_size=batch_size,\n",
    "                    shuffle=is_train, num_workers=d2l.get_dataloader_workers())\n",
    "    return dataloader"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 42
   },
   "source": [
    "### Multi-GPU Training\n",
    "\n",
    "We train the ResNet-18 model from\n",
    ":numref:`sec_resnet` on the\n",
    "CIFAR-10 dataset.\n",
    "Recall the introduction to\n",
    "multi-GPU training in :numref:`sec_multi_gpu_concise`.\n",
    "In the following,\n",
    "[**we define a function to train and evaluate the model using multiple GPUs**].\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "origin_pos": 44,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "#@save\n",
    "def train_batch_ch13(net, X, y, loss, trainer, devices):\n",
    "    \"\"\"Train for a minibatch with mutiple GPUs (defined in Chapter 13).\"\"\"\n",
    "    if isinstance(X, list):\n",
    "        # Required for BERT fine-tuning (to be covered later)\n",
    "        X = [x.to(devices[0]) for x in X]\n",
    "    else:\n",
    "        X = X.to(devices[0])\n",
    "    y = y.to(devices[0])\n",
    "    net.train()\n",
    "    trainer.zero_grad()\n",
    "    pred = net(X)\n",
    "    l = loss(pred, y)\n",
    "    l.sum().backward()\n",
    "    trainer.step()\n",
    "    train_loss_sum = l.sum()\n",
    "    train_acc_sum = d2l.accuracy(pred, y)\n",
    "    return train_loss_sum, train_acc_sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "origin_pos": 46,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "#@save\n",
    "def train_ch13(net, train_iter, test_iter, loss, trainer, num_epochs,\n",
    "               devices=d2l.try_all_gpus()):\n",
    "    \"\"\"Train a model with mutiple GPUs (defined in Chapter 13).\"\"\"\n",
    "    timer, num_batches = d2l.Timer(), len(train_iter)\n",
    "    animator = d2l.Animator(xlabel='epoch', xlim=[1, num_epochs], ylim=[0, 1],\n",
    "                            legend=['train loss', 'train acc', 'test acc'])\n",
    "    net = nn.DataParallel(net, device_ids=devices).to(devices[0])\n",
    "    for epoch in range(num_epochs):\n",
    "        # Sum of training loss, sum of training accuracy, no. of examples,\n",
    "        # no. of predictions\n",
    "        metric = d2l.Accumulator(4)\n",
    "        for i, (features, labels) in enumerate(train_iter):\n",
    "            timer.start()\n",
    "            l, acc = train_batch_ch13(\n",
    "                net, features, labels, loss, trainer, devices)\n",
    "            metric.add(l, acc, labels.shape[0], labels.numel())\n",
    "            timer.stop()\n",
    "            if (i + 1) % (num_batches // 5) == 0 or i == num_batches - 1:\n",
    "                animator.add(epoch + (i + 1) / num_batches,\n",
    "                             (metric[0] / metric[2], metric[1] / metric[3],\n",
    "                              None))\n",
    "        test_acc = d2l.evaluate_accuracy_gpu(net, test_iter)\n",
    "        animator.add(epoch + 1, (None, None, test_acc))\n",
    "    print(f'loss {metric[0] / metric[2]:.3f}, train acc '\n",
    "          f'{metric[1] / metric[3]:.3f}, test acc {test_acc:.3f}')\n",
    "    print(f'{metric[2] * num_epochs / timer.sum():.1f} examples/sec on '\n",
    "          f'{str(devices)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 47
   },
   "source": [
    "Now we can [**define the `train_with_data_aug` function to train the model with image augmentation**].\n",
    "This function gets all available GPUs, \n",
    "uses Adam as the optimization algorithm,\n",
    "applies image augmentation to the training dataset,\n",
    "and finally calls the `train_ch13` function just defined to train and evaluate the model.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "origin_pos": 49,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [],
   "source": [
    "batch_size, devices, net = 256, d2l.try_all_gpus(), d2l.resnet18(10, 3)\n",
    "\n",
    "def init_weights(m):\n",
    "    if type(m) in [nn.Linear, nn.Conv2d]:\n",
    "        nn.init.xavier_uniform_(m.weight)\n",
    "\n",
    "net.apply(init_weights)\n",
    "\n",
    "def train_with_data_aug(train_augs, test_augs, net, lr=0.001):\n",
    "    train_iter = load_cifar10(True, train_augs, batch_size)\n",
    "    test_iter = load_cifar10(False, test_augs, batch_size)\n",
    "    loss = nn.CrossEntropyLoss(reduction=\"none\")\n",
    "    trainer = torch.optim.Adam(net.parameters(), lr=lr)\n",
    "    train_ch13(net, train_iter, test_iter, loss, trainer, 10, devices)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 50
   },
   "source": [
    "Let us [**train the model**] using image augmentation based on random left-right flipping.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "origin_pos": 51,
    "tab": [
     "pytorch"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss 0.164, train acc 0.944, test acc 0.831\n",
      "5708.6 examples/sec on [device(type='cuda', index=0), device(type='cuda', index=1)]\n"
     ]
    },
    {
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       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"238.965625pt\" height=\"184.455469pt\" viewBox=\"0 0 238.965625 184.455469\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
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   "source": [
    "train_with_data_aug(train_augs, test_augs, net)"
   ]
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    "## Summary\n",
    "\n",
    "* Image augmentation generates random images based on existing training data to improve the generalization ability of models.\n",
    "* In order to obtain definitive results during prediction, we usually only apply image augmentation to training examples, and do not use image augmentation with random operations during prediction.\n",
    "* Deep learning frameworks provide many different image augmentation methods, which can be applied simultaneously.\n",
    "\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Train the model without using image augmentation: `train_with_data_aug(test_augs, test_augs)`. Compare training and testing accuracy when using and not using image augmentation. Can this comparative experiment support the argument that image augmentation can mitigate overfitting? Why?\n",
    "1. Combine multiple different image augmentation methods in model training on the CIFAR-10 dataset. Does it improve test accuracy? \n",
    "1. Refer to the online documentation of the deep learning framework. What other image augmentation methods does it also provide?\n"
   ]
  },
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    "tab": [
     "pytorch"
    ]
   },
   "source": [
    "[Discussions](https://discuss.d2l.ai/t/1404)\n"
   ]
  }
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