08. Convolutional Neural Networks/04. Max Pooling - MXNet.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Max Pooling - MXNet.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1YN4PT_Idstj",
        "colab_type": "text"
      },
      "source": [
        "#MXNet (From Scratch)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CLGHa8i6WEaA",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import mxnet as mx\n",
        "from mxnet import nd\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "ctx = mx.gpu()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "u5Lekr1xNl3o",
        "colab_type": "text"
      },
      "source": [
        "##Getting the data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SOMvJE7t2j-E",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "mnist = mx.gluon.data.vision.MNIST()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "z_t0Blm529jz",
        "colab_type": "code",
        "outputId": "6da57eb9-2aa5-4478-8fdd-e370a977917c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        }
      },
      "source": [
        "image, _ = mnist[2]\n",
        "\n",
        "image = image.flatten().astype('float32').as_in_context(ctx)\n",
        "\n",
        "print(image.shape)\n",
        "\n",
        "plt.imshow(image.asnumpy(), cmap = 'gray')\n",
        "plt.show()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(28, 28)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
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            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KokyQp0Knlgh",
        "colab_type": "text"
      },
      "source": [
        "## Defining Max Pooling Layer"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m9ilgzaTnolW",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def maxpool(inputs, pooling = (3, 3)):\n",
        "    pool_hight, pool_width = pooling\n",
        "    hight, width = inputs.shape[0] - pool_hight + 1, inputs.shape[1] - pool_width + 1\n",
        "    layer = nd.zeros((int(hight), int(width)))\n",
        "            \n",
        "    row = 0\n",
        "    for i in range(0, inputs.shape[0]):\n",
        "        col = 0\n",
        "        for j in range(0, inputs.shape[1]):\n",
        "            if (i + pool_hight <= inputs.shape[0]) and (j + pool_width <= inputs.shape[1]):\n",
        "                layer[row, col] = inputs[i:i + pool_hight, j:j + pool_width].max()\n",
        "            col += 1\n",
        "        row += 1\n",
        "        \n",
        "    return layer"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "O9dcXdeVuF9o",
        "colab_type": "text"
      },
      "source": [
        "##Pooling with shape (3, 3)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9mc3IJcStMdS",
        "colab_type": "code",
        "outputId": "46f0e3d1-e0ad-436c-e146-0e7ef8ca6f39",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = maxpool(image, pooling = (3, 3))\n",
        "\n",
        "plt.imshow(image.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'Before Max pooling, shape:{image.shape}')\n",
        "plt.show()\n",
        "\n",
        "plt.imshow(output.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'After Max pooling, shape:{output.shape}')\n",
        "plt.show()"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Ov1mhHH6zQvl9/mz8+PF9W/euu+5a2y6ptv2AAw5o2LbFFlvUzrvuuuvWth9xxBG17WPG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\nFcrhNyuUw29WqP8Hc9bVWLWq+Y8AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ccUTN9mHDyukfHn300ZrtK1asaFMl7VHOX9bM3sDhNyuUw29WKIffrFAOv1mhHH6zQjn8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\nyuE3K9T/A6ZJ6ef9iJkrAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xb0TilsjuJux",
        "colab_type": "text"
      },
      "source": [
        "##Pooling with shape (5, 5)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eGmrLTjUtMgU",
        "colab_type": "code",
        "outputId": "15edc423-c8fb-41bd-95a0-6b2bf94857f7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = maxpool(image, pooling = (5, 5))\n",
        "\n",
        "plt.imshow(image.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'Before Max pooling, shape:{image.shape}')\n",
        "plt.show()\n",
        "\n",
        "plt.imshow(output.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'After Max pooling, shape:{output.shape}')\n",
        "plt.show()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Ov1mhHH6zQvl9/mz8+PF9W/euu+5a2y6ptv2AAw5o2LbFFlvUzrvuuuvWth9xxBG17WPG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\nFcrhNyuUw29WqP8Hc9bVWLWq+Y8AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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dDlwEvEXSCuDYfN/MBhGlQ/bWmDZtWjzwwAMt668ZGtk+klpQSfNt3bq1bps//elPTelr\n6NChdds0cvHSYDV58uS6bZ588smm9BURDT0hfYmXWaEcfrNCOfxmhXL4zQrl8JsVyuE3K5TDb1Yo\nh9+sUP4mH2uJl/MFPI899ljdNlu2bGlBJTvGe36zQjn8ZoVy+M0K5fCbFcrhNyuUw29WKIffrFAO\nv1mhfJGPWT+df/75ddts3ry5BZXsGO/5zQrl8JsVyuE3K5TDb1Yoh9+sUA6/WaEcfrNCOfxmhfJF\nPma92L59e902Dz74YAsqaT7v+c0K5fCbFcrhNyuUw29WKIffrFAOv1mhHH6zQjn8ZoVq+UU+EdHq\nLq0ftm3bVrfN0qVL67Y5/PDDm1FOyzVykc/y5ctbUEnzec9vVqi64Zd0taQNkpZUpp0naY2kxfnn\n7QNbppk1WyN7/nnAcd1Mvzwipuaf25tblpkNtLrhj4i7gE0tqMXMWqg/x/xnSXooHxbs3lMjSXMl\nLZK0aOPGjf3ozsyaqa/h/zqwPzAVWAtc2lPDiLgiIqZFxLTx48f3sTsza7Y+hT8i1kfEtojYDnwT\nOKy5ZZnZQOtT+CVNrNw9AVjSU1sz60x1L/KRdD0wHRgnaTVwLjBd0lQggFXABxvpbM2aNZxzzjm9\ntjnyyCMbWZXVccstt9Rts2zZsrpt7r333rptbrzxxrptjjjiiLptOtETTzzR7hIGTN3wR8TJ3Uy+\nagBqMbMW8hV+ZoVy+M0K5fCbFcrhNyuUw29WKIffrFAOv1mhWvpNPuvWrePiiy9uZZdm/XLTTTe1\nu4QB4z2/WaEcfrNCOfxmhXL4zQrl8JsVyuE3K5TDb1Yoh9+sUC3/d11mg8no0aPbXcKA8Z7frFAO\nv1mhHH6zQjn8ZoVy+M0K5fCbFcrhNyuUw29WKIffrFAOv1mhHH6zQjn8ZoVy+M0K5fCbFcrhNyuU\nw29WKIffrFAOv1mhHH6zQtUNv6RJkn4maamkRyR9NE8fI2mBpBX59+4DX66ZNUsje/6twCci4iDg\ncOBMSQcBZwMLI2IKsDDfN7NBom74I2JtRPwq394CLAP2AmYC83Oz+cDxA1WkmTXfDn11t6R9gYOB\n+4AJEbE2z1oHTOhhmbnA3L6XaGYDoeETfpJGADcBH4uIZ6vzIiKA6G65iLgiIqZFxLR+VWpmTdVQ\n+CUNJQX/2oj4fp68XtLEPH8isGFgSjSzgdDI2X4BVwHLIuKyyqzbgNn59mzg1uaXZ2YDpZFj/tcD\n7wMelrQ4TzsHuAj4jqTTgceBEwemRDMbCHXDHxF3A+ph9jHNLcfMWsVX+JkVyuE3K5TDb1Yoh9+s\nUA6/WaEcfrNCOfxmhXL4zQrl8JsVyuE3K5TDb1Yoh9+sUA6/WaEcfrNCOfxmhXL4zQrl8JsVyuE3\nK5TDb1Yoh9+sUA6/WaEcfrNCOfxmhXL4zQrl8JsVyuE3K5TSf9duUWfSRtL/9esyDni6ZQU0z2Cs\n2zW3TjvrnhwR4xtp2NLwv6RzaVFETGtbAX00GOt2za0zWOr2sN+sUA6/WaHaHf4r2tx/Xw3Gul1z\n6wyKutt6zG9m7dPuPb+ZtYnDb1aotoVf0nGSHpW0UtLZ7apjR0haJelhSYslLWp3PT2RdLWkDZKW\nVKaNkbRA0or8e/d21lirh5rPk7Qmb+/Fkt7ezhprSZok6WeSlkp6RNJH8/SO3tZd2hJ+STsBXwXe\nBhwEnCzpoHbU0gdvioipHf4+7jzguJppZwMLI2IKsDDf7yTzeGnNAJfn7T01Im5vcU31bAU+EREH\nAYcDZ+bncadva6B9e/7DgJUR8ZuIeAG4AZjZplpediLiLmBTzeSZwPx8ez5wfEuLqqOHmjtaRKyN\niF/l21uAZcBedPi27tKu8O8FPFm5vzpP63QB3CHpQUlz213MDpoQEWvz7XXAhHYWswPOkvRQPizo\nyOEzgKR9gYOB+xgk29on/HbMURFxCOlw5UxJb2x3QX0R6f3dwfAe79eB/YGpwFrg0vaW0z1JI4Cb\ngI9FxLPVeZ28rdsV/jXApMr9vfO0jhYRa/LvDcDNpMOXwWK9pIkA+feGNtdTV0Ssj4htEbEd+CYd\nuL0lDSUF/9qI+H6ePCi2dbvC/wAwRdJ+koYBJwG3tamWhkh6haSRXbeBGcCS3pfqKLcBs/Pt2cCt\nbaylIV0Byk6gw7a3JAFXAcsi4rLKrEGxrdt2hV9+2+bLwE7A1RHxxbYU0iBJf03a2wPsDFzXqTVL\nuh6YTvpo6XrgXOAW4DvAPqSPVZ8YER1zgq2HmqeThvwBrAI+WDmWbjtJRwG/AB4GtufJ55CO+zt2\nW3fx5b1mhfIJP7NCOfxmhXL4zQrl8JsVyuE3K5TDb1Yoh9+sUP8PnN17CE02plMAAAAASUVORK5C\nYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "QSvWjcqKuOV_"
      },
      "source": [
        "##Pooling with shape (7, 7)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1VUql9zetMpw",
        "colab_type": "code",
        "outputId": "66a2790b-685f-45a2-a9af-19ab9f0e612c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = maxpool(image, pooling = (7, 7))\n",
        "\n",
        "plt.imshow(image.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'Before Max pooling, shape:{image.shape}')\n",
        "plt.show()\n",
        "\n",
        "plt.imshow(output.asnumpy(), cmap = 'gray')\n",
        "plt.title(f'After Max pooling, shape:{output.shape}')\n",
        "plt.show()"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Ov1mhHH6zQvl9/mz8+PF9W/euu+5a2y6ptv2AAw5o2LbFFlvUzrvuuuvWth9xxBG17WPG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\nFcrhNyuUw29WqP8Hc9bVWLWq+Y8AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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W5IAwsyIHhJkVOSDMrMgBYWZFDggzK3JAmFmRA8LMijryknM28HbeeeeG6k2fPr2hesce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\nmgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}