08. Convolutional Neural Networks/05. Average Pooling - MXNet.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Average 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": "6fb3d430-1b2a-4cf1-91ac-5ffb1352ceb0",
        "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 Average Pooling Layer"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m9ilgzaTnolW",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def avgpool(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].mean()\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": "36accd9c-8713-4b12-de4e-652f541368b7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = avgpool(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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            "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": "e43faf62-c81f-4aef-bf99-ad497e179203",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = avgpool(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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            "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": "d0cedad7-6ee0-48e3-c009-16cef86c0edb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        }
      },
      "source": [
        "output = avgpool(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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bQpYDcxruH5aXmVmf67Sy1oRc2RtJE4CTgDuawq4BzsqfZjwLeDgiVnayXzPbOzo9xZgJ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\nsyInCDMrcoIwsyInCDMrcoIws6L/D4IB2XRTaMRaAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}