Deep_Learning/MNIST Digit Classification using Neural Networks/model/CNN_handwritten_digit_recogniser.ipynb

{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "qvDmBGGHeH8Z"
      },
      "outputs": [],
      "source": [
        "import tensorflow as tf\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sn\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "from tensorflow import keras"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-z7bqNudeTkV",
        "outputId": "99e12825-10bb-4c9b-f4b4-584a7d9209bf"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
            "11490434/11490434 [==============================] - 0s 0us/step\n"
          ]
        }
      ],
      "source": [
        "(X_train, y_train) , (X_test, y_test) = keras.datasets.mnist.load_data()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x1, y1 = np.unique(y_train, return_counts=True)"
      ],
      "metadata": {
        "id": "oXrufuC3xzr_"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# labels\n",
        "x1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Yoz5hc1AyS1p",
        "outputId": "cfbb9302-6886-4dec-93bb-1e8bcac69bc1"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# frequency of each label\n",
        "y1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "haYJ7DvbyrAG",
        "outputId": "8ee2530e-89c6-46d0-8bc7-e257058b1b2f"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([5923, 6742, 5958, 6131, 5842, 5421, 5918, 6265, 5851, 5949])"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.hexbin(x1, y1, gridsize=30, cmap='Blues')\n",
        "\n",
        "# Adding labels and title\n",
        "plt.xlabel('Labels')\n",
        "plt.ylabel('Frequency')\n",
        "plt.title('2D Histogram (Hexbin Plot)')\n",
        "\n",
        "# Adding colorbar\n",
        "plt.colorbar()\n",
        "\n",
        "# Display the plot\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "n8D1VP_pzVPg",
        "outputId": "cbf20e0b-21dc-4e45-8c56-2d81bd829600"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.pie(y1, labels = x1)\n",
        "plt.title(\"Pie chart to show variation in classes\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 428
        },
        "id": "umb9zabDz5CO",
        "outputId": "d041e166-13c7-474d-a1ba-6222d8be17b0"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.bar(x1, y1, width = .5);\n",
        "plt.title(\"Number of Images by Class\");\n",
        "plt.xlabel('Class Name');\n",
        "plt.ylabel('# Images');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "0qZqpLFZ0Eo8",
        "outputId": "ba8c420d-16dd-4e27-c872-8411f8eb90bc"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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LvvnmG3l5eemLL764qs8ePny4PvjgA0VFRemZZ55RpUqV9O677+rw4cP65JNPzItt7a19+/bmKs2TTz6pU6dOae7cufL19bW5QN7Pz0/PPvusJk+erAcffFD333+/duzYoa+++kpVqlSxOSU6ZMgQff755+rQoYMeffRRhYaG6vTp09q5c6c+/vhj/fzzz6pSpYoGDhyokydPql27dqpWrZqOHDmiadOmqXHjxua1VpdTu3Zt3XXXXXrqqaeUm5urKVOmqHLlyhc9Vde3b1/zSeD/drqsUK1atbRw4ULz8Q8XPql648aNWrx48WW/u6xDhw4aO3asHnvsMd15553auXOnFixYoJo1a9qMa9++vfz9/RUeHi4/Pz/t3btX06dPV3R0tDw9PZWVlaVq1aqpa9euuuOOO+Th4aGvv/5aW7duveQzuIArZr8b3ICy4cLb7v+pX79+hqQitxKfOXPGGDBggOHt7W14enoa3bp1MzIzMy952/2vv/5aZF53d/cin/fPW/wLb0X/4IMPjMTERMPX19dwc3MzoqOjjSNHjhR5//bt243OnTsblStXNlxcXIygoCCjW7duxurVq/+1pss5ePCg0bVrV8PHx8dwdXU1WrRoYSxdurTIOF2H2+4XL15sM+5Sfz8X24/PP//caNSokeHq6mrUqFHDmDhxovHOO+8YkozDhw+b486fP2+MHDnS8Pf3N9zc3Ix27doZe/fuNSpXrmwMGjTI5nP+/PNPIzEx0ahdu7bh7OxsVKlSxbjzzjuN119/3Xw8wMcff2y0b9/e8PX1NZydnY3q1asbTz75pHHixInLHoPC2+5fe+01Y/LkyUZgYKDh4uJi3H333caOHTsu+p4TJ04YTk5ORt26dS8798Xs37/fePzxx40aNWoYzs7OhqenpxEeHm5MmzbNOHv2rDnuYrfdP/fcc0bVqlUNNzc3Izw83EhJSTFat25ttG7d2hz31ltvGffcc4/581erVi1jyJAhRnZ2tmEYhpGbm2sMGTLEuOOOOwxPT0/D3d3duOOOO4yZM2cWe1+Af3IwjKu4AhMAYCMrK0sVK1bUuHHj9OKLL9q7nEv67bffVLVqVY0aNUojR460dzlAqVE61qoB4CZysW92L3zqdJs2bW5sMcWUnJys/Px89enTx96lAKUK1xABQDF99NFHSk5O1gMPPCAPDw+tX79eH3zwgdq3b6/w8HB7l3dRa9as0Z49e/TKK6/ooYceKnIHGmB1nDIDgGLatm2bhg4dqrS0NOXk5MjPz09dunTRuHHjijyvqbRo06aNNm7cqPDwcL3//vuX/e4ywIoIRAAAwPK4hggAAFgegQgAAFgeF1VfgYKCAh0/flyenp6X/B4qAABQuhiGoT///FMBAQH//hBYOz4DyQgKCjIkFdkGDx5sGIZh/PXXX8bgwYONSpUqGe7u7kbnzp2N9PR0mzmOHDliPPDAA4abm5txyy23GM8//7xx7tw5mzHffPON0aRJE8PZ2dmoVauWMX/+/GLVeezYsYvWycbGxsbGxlb6t2PHjv3r73q7rhBt3brV5hu+d+3apfvuu08PP/ywJCk+Pl7Lli3T4sWL5e3trdjYWHXu3FkbNmyQ9Pe3g0dHR8vf318bN27UiRMn1LdvX5UvX16vvvqqJOnw4cOKjo7WoEGDtGDBAq1evVoDBw5U1apVr+hLDSXJ09NTknTs2DF5eXldz0MAAABKSE5OjgIDA83f45dTqu4yi4uL09KlS3XgwAHl5OTolltu0cKFC9W1a1dJf387dv369ZWSkqJWrVrpq6++UocOHXT8+HH5+flJkmbPnq1hw4bp119/lbOzs4YNG6Zly5Zp165d5ud0795dWVlZWr58+RXVlZOTI29vb2VnZxOIAAC4SRTn93epuag6Ly9P77//vvr37y8HBwelpqbq3LlzioiIMMfcdtttql69uvmt2SkpKWrYsKEZhiQpMjJSOTk52r17tznmwjkKx1z4zdv/lJubq5ycHJsNAACUXaUmEH322WfKysoyvzE5PT1dzs7O8vHxsRnn5+en9PR0c8yFYaiwv7DvcmNycnIu+vh9SRo/fry8vb3NLTAw8Fp3DwAAlGKlJhC9/fbbioqKUkBAgL1LUWJiorKzs83t2LFj9i4JAACUoFJx2/2RI0f09ddf69NPPzXb/P39lZeXp6ysLJtVooyMDPn7+5tjtmzZYjNXRkaG2Vf4v4VtF47x8vKSm5vbRetxcXGRi4vLNe8XAAC4OZSKFaL58+fL19dX0dHRZltoaKjKly+v1atXm2379u3T0aNHFRYWJkkKCwvTzp07lZmZaY5ZtWqVvLy8FBISYo65cI7CMYVzAAAA2D0QFRQUaP78+erXr5/Klft/C1be3t4aMGCAEhIS9M033yg1NVWPPfaYwsLC1KpVK0lS+/btFRISoj59+mjHjh1asWKFRowYoZiYGHOFZ9CgQTp06JCGDh2qH3/8UTNnztSiRYsUHx9vl/0FAAClj91PmX399dc6evSo+vfvX6QvKSlJjo6O6tKli3JzcxUZGamZM2ea/U5OTlq6dKmeeuophYWFyd3dXf369dPYsWPNMcHBwVq2bJni4+M1depUVatWTfPmzbviZxABAICyr1Q9h6i04jlEAADcfG7K5xABAADYC4EIAABYHoEIAABYHoEIAABYHoEIAABYHoEIAABYHoEIAABYnt0fzIibW43hy0p0/p8nRP/7IAAArhErRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPLK2bsAAACuVI3hy0p0/p8nRJfo/Ci9WCECAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWx233wE2K248B4PphhQgAAFie3QPRL7/8ot69e6ty5cpyc3NTw4YN9f3335v9hmFo1KhRqlq1qtzc3BQREaEDBw7YzHHy5En16tVLXl5e8vHx0YABA3Tq1CmbMT/88IPuvvtuubq6KjAwUJMmTboh+wcAAEo/uwaiP/74Q+Hh4Spfvry++uor7dmzR5MnT1bFihXNMZMmTdKbb76p2bNna/PmzXJ3d1dkZKTOnj1rjunVq5d2796tVatWaenSpVq3bp2eeOIJsz8nJ0ft27dXUFCQUlNT9dprr2nMmDGaM2fODd1fAABQOtn1GqKJEycqMDBQ8+fPN9uCg4PNPxuGoSlTpmjEiBHq1KmTJOn//u//5Ofnp88++0zdu3fX3r17tXz5cm3dulXNmjWTJE2bNk0PPPCAXn/9dQUEBGjBggXKy8vTO++8I2dnZzVo0EBpaWl64403bIITAACwJruuEH3++edq1qyZHn74Yfn6+qpJkyaaO3eu2X/48GGlp6crIiLCbPP29lbLli2VkpIiSUpJSZGPj48ZhiQpIiJCjo6O2rx5sznmnnvukbOzszkmMjJS+/bt0x9//FGkrtzcXOXk5NhsAACg7LJrIDp06JBmzZqlOnXqaMWKFXrqqaf0zDPP6N1335UkpaenS5L8/Pxs3ufn52f2paeny9fX16a/XLlyqlSpks2Yi81x4WdcaPz48fL29ja3wMDA67C3AACgtLJrICooKFDTpk316quvqkmTJnriiSf0+OOPa/bs2fYsS4mJicrOzja3Y8eO2bUeAABQsuwaiKpWraqQkBCbtvr16+vo0aOSJH9/f0lSRkaGzZiMjAyzz9/fX5mZmTb958+f18mTJ23GXGyOCz/jQi4uLvLy8rLZAABA2WXXi6rDw8O1b98+m7b9+/crKChI0t8XWPv7+2v16tVq3LixpL/vGNu8ebOeeuopSVJYWJiysrKUmpqq0NBQSdKaNWtUUFCgli1bmmNefPFFnTt3TuXLl5ckrVq1SvXq1bO5ow3Ww8MNAeDKlPX/v7RrIIqPj9edd96pV199Vd26ddOWLVs0Z84c83Z4BwcHxcXFady4capTp46Cg4M1cuRIBQQE6KGHHpL094rS/fffb55qO3funGJjY9W9e3cFBARIknr27KmXXnpJAwYM0LBhw7Rr1y5NnTpVSUlJ9tp1G2X9hwwAgNLOroGoefPmWrJkiRITEzV27FgFBwdrypQp6tWrlzlm6NChOn36tJ544gllZWXprrvu0vLly+Xq6mqOWbBggWJjY3XvvffK0dFRXbp00Ztvvmn2e3t7a+XKlYqJiVFoaKiqVKmiUaNGccs9AEsqyX+E8Q8w3Kzs/l1mHTp0UIcOHS7Z7+DgoLFjx2rs2LGXHFOpUiUtXLjwsp/TqFEjfffdd1ddJwAAKLvs/tUdAAAA9mb3FSIAAKyC05WlF4EIgF1wMwGA0oRTZgAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPIIRAAAwPLK2bsAALjZ1Bi+rETn/3lCdInOD6AoVogAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDl2TUQjRkzRg4ODjbbbbfdZvafPXtWMTExqly5sjw8PNSlSxdlZGTYzHH06FFFR0erQoUK8vX11ZAhQ3T+/HmbMd9++62aNm0qFxcX1a5dW8nJyTdi9wAAwE3C7itEDRo00IkTJ8xt/fr1Zl98fLy++OILLV68WGvXrtXx48fVuXNnsz8/P1/R0dHKy8vTxo0b9e677yo5OVmjRo0yxxw+fFjR0dFq27at0tLSFBcXp4EDB2rFihU3dD8BAEDpVc7uBZQrJ39//yLt2dnZevvtt7Vw4UK1a9dOkjR//nzVr19fmzZtUqtWrbRy5Urt2bNHX3/9tfz8/NS4cWO9/PLLGjZsmMaMGSNnZ2fNnj1bwcHBmjx5siSpfv36Wr9+vZKSkhQZGXlD9xUAAJROdl8hOnDggAICAlSzZk316tVLR48elSSlpqbq3LlzioiIMMfedtttql69ulJSUiRJKSkpatiwofz8/MwxkZGRysnJ0e7du80xF85ROKZwDgAAALuuELVs2VLJycmqV6+eTpw4oZdeekl33323du3apfT0dDk7O8vHx8fmPX5+fkpPT5ckpaen24Shwv7CvsuNycnJ0V9//SU3N7cideXm5io3N9d8nZOTc837CgAASi+7BqKoqCjzz40aNVLLli0VFBSkRYsWXTSo3Cjjx4/XSy+9ZLfPBwAAN5bdT5ldyMfHR3Xr1tVPP/0kf39/5eXlKSsry2ZMRkaGec2Rv79/kbvOCl//2xgvL69Lhq7ExERlZ2eb27Fjx67H7gEAgFKqVAWiU6dO6eDBg6patapCQ0NVvnx5rV692uzft2+fjh49qrCwMElSWFiYdu7cqczMTHPMqlWr5OXlpZCQEHPMhXMUjimc42JcXFzk5eVlswEAgLLLroHo+eef19q1a/Xzzz9r48aN+s9//iMnJyf16NFD3t7eGjBggBISEvTNN98oNTVVjz32mMLCwtSqVStJUvv27RUSEqI+ffpox44dWrFihUaMGKGYmBi5uLhIkgYNGqRDhw5p6NCh+vHHHzVz5kwtWrRI8fHx9tx1AABQitj1GqL//e9/6tGjh37//Xfdcsstuuuuu7Rp0ybdcsstkqSkpCQ5OjqqS5cuys3NVWRkpGbOnGm+38nJSUuXLtVTTz2lsLAwubu7q1+/fho7dqw5Jjg4WMuWLVN8fLymTp2qatWqad68edxyDwAATHYNRB9++OFl+11dXTVjxgzNmDHjkmOCgoL05ZdfXnaeNm3aaPv27VdVIwAAKPtK1TVEAAAA9kAgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlnddAlFWVtb1mAYAAMAuih2IJk6cqI8++sh83a1bN1WuXFm33nqrduzYcV2LAwAAuBGKHYhmz56twMBASdKqVau0atUqffXVV4qKitKQIUOue4EAAAAlrVxx35Cenm4GoqVLl6pbt25q3769atSooZYtW173AgEAAEpasVeIKlasqGPHjkmSli9froiICEmSYRjKz8+/6kImTJggBwcHxcXFmW1nz55VTEyMKleuLA8PD3Xp0kUZGRk27zt69Kiio6NVoUIF+fr6asiQITp//rzNmG+//VZNmzaVi4uLateureTk5KuuEwAAlD3FDkSdO3dWz549dd999+n3339XVFSUJGn79u2qXbv2VRWxdetWvfXWW2rUqJFNe3x8vL744gstXrxYa9eu1fHjx9W5c2ezPz8/X9HR0crLy9PGjRv17rvvKjk5WaNGjTLHHD58WNHR0Wrbtq3S0tIUFxengQMHasWKFVdVKwAAKHuKHYiSkpIUGxurkJAQrVq1Sh4eHpKkEydOaPDgwcUu4NSpU+rVq5fmzp2rihUrmu3Z2dl6++239cYbb6hdu3YKDQ3V/PnztXHjRm3atEmStHLlSu3Zs0fvv/++GjdurKioKL388suaMWOG8vLyJP19zVNwcLAmT56s+vXrKzY2Vl27dlVSUlKxawUAAGVTsQNR+fLl9fzzz2vq1Klq0qSJ2R4fH6+BAwcWu4CYmBhFR0ebp94Kpaam6ty5czbtt912m6pXr66UlBRJUkpKiho2bCg/Pz9zTGRkpHJycrR7925zzD/njoyMNOe4mNzcXOXk5NhsAACg7Lqq5xC99957uuuuuxQQEKAjR45IkqZMmaL//ve/xZrnww8/1LZt2zR+/Pgifenp6XJ2dpaPj49Nu5+fn9LT080xF4ahwv7CvsuNycnJ0V9//XXRusaPHy9vb29zK7yIHAAAlE3FDkSzZs1SQkKCoqKilJWVZV5I7ePjoylTplzxPMeOHdOzzz6rBQsWyNXVtbhllKjExERlZ2ebW+FF5AAAoGwqdiCaNm2a5s6dqxdffFFOTk5me7NmzbRz584rnic1NVWZmZlq2rSpypUrp3Llymnt2rV68803Va5cOfn5+SkvL6/IU7AzMjLk7+8vSfL39y9y11nh638b4+XlJTc3t4vW5uLiIi8vL5sNAACUXcUORIcPH7a5dqiQi4uLTp8+fcXz3Hvvvdq5c6fS0tLMrVmzZurVq5f55/Lly2v16tXme/bt26ejR48qLCxMkhQWFqadO3cqMzPTHLNq1Sp5eXkpJCTEHHPhHIVjCucAAAAo9oMZg4ODlZaWpqCgIJv25cuXq379+lc8j6enp26//XabNnd3d1WuXNlsHzBggBISElSpUiV5eXnp6aefVlhYmFq1aiVJat++vUJCQtSnTx9NmjRJ6enpGjFihGJiYuTi4iJJGjRokKZPn66hQ4eqf//+WrNmjRYtWqRly5YVd9cBAEAZVexAlJCQoJiYGJ09e1aGYWjLli364IMPNH78eM2bN++6FpeUlCRHR0d16dJFubm5ioyM1MyZM81+JycnLV26VE899ZTCwsLk7u6ufv36aezYseaY4OBgLVu2TPHx8Zo6daqqVaumefPmKTIy8rrWCgAAbl7FDkQDBw6Um5ubRowYoTNnzqhnz54KCAjQ1KlT1b1792sq5ttvv7V57erqqhkzZmjGjBmXfE9QUJC+/PLLy87bpk0bbd++/ZpqAwAAZVexA5Ek9erVS7169dKZM2d06tQp+fr6Xu+6AAAAbpirCkSFKlSooAoVKlyvWgAAAOyi2IGoSZMmcnBwKNLu4OAgV1dX1a5dW48++qjatm17XQoEAAAoacW+7f7+++/XoUOH5O7urrZt26pt27by8PDQwYMH1bx5c504cUIRERHFfmo1AACAvRR7hei3337Tc889p5EjR9q0jxs3TkeOHNHKlSs1evRovfzyy+rUqdN1KxQAAKCkFHuFaNGiRerRo0eR9u7du2vRokWSpB49emjfvn3XXh0AAMANUOxA5Orqqo0bNxZp37hxo/mdZAUFBaXu+8kAAAAupdinzJ5++mkNGjRIqampat68uSRp69atmjdvnl544QVJ0ooVK9S4cePrWigAAEBJKXYgGjFihIKDgzV9+nS99957kqR69epp7ty56tmzp6S/vy7jqaeeur6VAgAAlJBrejDjpVzqW+QBAABKo2JfQwQAAFDWFHuFKD8/X0lJSVq0aJGOHj2qvLw8m/6TJ09et+IAAABuhGKvEL300kt644039Mgjjyg7O1sJCQnq3LmzHB0dNWbMmBIoEQAAoGQVOxAtWLBAc+fO1XPPPady5cqpR48emjdvnkaNGqVNmzaVRI0AAAAlqtiBKD09XQ0bNpQkeXh4KDs7W5LUoUMHLVu27PpWBwAAcAMUOxBVq1ZNJ06ckCTVqlVLK1eulPT3s4hcXFyub3UAAAA3QLED0X/+8x+tXr1a0t8PaRw5cqTq1Kmjvn37qn///te9QAAAgJJW7LvMJkyYYP75kUceUfXq1ZWSkqI6deqoY8eO17U4AACAG+GqHsx4obCwMIWFhV2PWgAAAOziqgLR8ePHtX79emVmZqqgoMCm75lnnrkuhQEAANwoxQ5EycnJevLJJ+Xs7KzKlSvLwcHB7HNwcCAQAQCAm06xA9HIkSM1atQoJSYmytGRb/4AAAA3v2InmjNnzqh79+6EIQAAUGYUO9UMGDBAixcvLolaAAAA7KLYp8zGjx+vDh06aPny5WrYsKHKly9v0//GG29ct+IAAABuhKsKRCtWrFC9evUkqchF1QAAADebYgeiyZMn65133tGjjz5aAuUAAADceMW+hsjFxUXh4eElUQsAAIBdFDsQPfvss5o2bVpJ1AIAAGAXxT5ltmXLFq1Zs0ZLly5VgwYNilxU/emnn1634gAAAG6EYgciHx8fde7cuSRqAQAAsItiB6L58+eXRB0AAAB2w+OmAQCA5V3xClGTJk2u6DlD27Ztu6aCAAAAbrQrDkQPPfRQCZYBAABgP1cciEaPHl2SdQAAANgN1xABAADLIxABAADLIxABAADLIxABAADLIxABAADLu6pAFBsbq5MnT17zh8+aNUuNGjWSl5eXvLy8FBYWpq+++srsP3v2rGJiYlS5cmV5eHioS5cuysjIsJnj6NGjio6OVoUKFeTr66shQ4bo/PnzNmO+/fZbNW3aVC4uLqpdu7aSk5OvuXYAAFB2XHEg+t///mf+eeHChTp16pQkqWHDhjp27NhVfXi1atU0YcIEpaam6vvvv1e7du3UqVMn7d69W5IUHx+vL774QosXL9batWt1/Phxm+9Ry8/PV3R0tPLy8rRx40a9++67Sk5O1qhRo8wxhw8fVnR0tNq2bau0tDTFxcVp4MCBWrFixVXVDAAAyp4rfg7RbbfdpsqVKys8PFxnz57VsWPHVL16df388886d+7cVX14x44dbV6/8sormjVrljZt2qRq1arp7bff1sKFC9WuXTtJf3+PWv369bVp0ya1atVKK1eu1J49e/T111/Lz89PjRs31ssvv6xhw4ZpzJgxcnZ21uzZsxUcHKzJkydLkurXr6/169crKSlJkZGRV1U3AAAoW654hSgrK0uLFy9WaGioCgoK9MADD6hu3brKzc3VihUripzKKq78/Hx9+OGHOn36tMLCwpSamqpz584pIiLCHHPbbbepevXqSklJkSSlpKSoYcOG8vPzM8dERkYqJyfHXGVKSUmxmaNwTOEcF5Obm6ucnBybDQAAlF1XHIjOnTunFi1a6LnnnpObm5u2b9+u+fPny8nJSe+8846Cg4NVr169Yhewc+dOeXh4yMXFRYMGDdKSJUsUEhKi9PR0OTs7y8fHx2a8n5+f0tPTJUnp6ek2Yaiwv7DvcmNycnL0119/XbSm8ePHy9vb29wCAwOLvV8AAODmccWnzHx8fNS4cWOFh4crLy9Pf/31l8LDw1WuXDl99NFHuvXWW7V169ZiF1CvXj2lpaUpOztbH3/8sfr166e1a9cWe57rKTExUQkJCebrnJwcQhEAAGXYFQeiX375RSkpKdq4caPOnz+v0NBQNW/eXHl5edq2bZuqVaumu+66q9gFODs7q3bt2pKk0NBQbd26VVOnTtUjjzyivLw8ZWVl2awSZWRkyN/fX5Lk7++vLVu22MxXeOruwjH/PJ2XkZEhLy8vubm5XbQmFxcXubi4FHtfAADAzemKT5lVqVJFHTt21Pjx41WhQgVt3bpVTz/9tBwcHPT888/L29tbrVu3vuaCCgoKlJubq9DQUJUvX16rV682+/bt26ejR48qLCxMkhQWFqadO3cqMzPTHLNq1Sp5eXkpJCTEHHPhHIVjCucAAAC44hWif/L29la3bt00YMAArVmzRhUqVCj2qa7ExERFRUWpevXq+vPPP7Vw4UJ9++23WrFihby9vTVgwAAlJCSoUqVK8vLy0tNPP62wsDC1atVKktS+fXuFhISoT58+mjRpktLT0zVixAjFxMSYKzyDBg3S9OnTNXToUPXv319r1qzRokWLtGzZsqvddQAAUMZcVSD64YcfdOutt0qSgoKCVL58efn7++uRRx4p1jyZmZnq27evTpw4IW9vbzVq1EgrVqzQfffdJ0lKSkqSo6OjunTpotzcXEVGRmrmzJnm+52cnLR06VI99dRTCgsLk7u7u/r166exY8eaY4KDg7Vs2TLFx8dr6tSpqlatmubNm8ct9wAAwHRVgejCC4x37dp11R/+9ttvX7bf1dVVM2bM0IwZMy45JigoSF9++eVl52nTpo22b99+VTUCAICyj+8yAwAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlmfXQDR+/Hg1b95cnp6e8vX11UMPPaR9+/bZjDl79qxiYmJUuXJleXh4qEuXLsrIyLAZc/ToUUVHR6tChQry9fXVkCFDdP78eZsx3377rZo2bSoXFxfVrl1bycnJJb17AADgJmHXQLR27VrFxMRo06ZNWrVqlc6dO6f27dvr9OnT5pj4+Hh98cUXWrx4sdauXavjx4+rc+fOZn9+fr6io6OVl5enjRs36t1331VycrJGjRpljjl8+LCio6PVtm1bpaWlKS4uTgMHDtSKFStu6P4CAIDSqZw9P3z58uU2r5OTk+Xr66vU1FTdc889ys7O1ttvv62FCxeqXbt2kqT58+erfv362rRpk1q1aqWVK1dqz549+vrrr+Xn56fGjRvr5Zdf1rBhwzRmzBg5Oztr9uzZCg4O1uTJkyVJ9evX1/r165WUlKTIyMgbvt8AAKB0KVXXEGVnZ0uSKlWqJElKTU3VuXPnFBERYY657bbbVL16daWkpEiSUlJS1LBhQ/n5+ZljIiMjlZOTo927d5tjLpyjcEzhHP+Um5urnJwcmw0AAJRdpSYQFRQUKC4uTuHh4br99tslSenp6XJ2dpaPj4/NWD8/P6Wnp5tjLgxDhf2FfZcbk5OTo7/++qtILePHj5e3t7e5BQYGXpd9BAAApVOpCUQxMTHatWuXPvzwQ3uXosTERGVnZ5vbsWPH7F0SAAAoQXa9hqhQbGysli5dqnXr1qlatWpmu7+/v/Ly8pSVlWWzSpSRkSF/f39zzJYtW2zmK7wL7cIx/7wzLSMjQ15eXnJzcytSj4uLi1xcXK7LvgEAgNLPritEhmEoNjZWS5Ys0Zo1axQcHGzTHxoaqvLly2v16tVm2759+3T06FGFhYVJksLCwrRz505lZmaaY1atWiUvLy+FhISYYy6co3BM4RwAAMDa7LpCFBMTo4ULF+q///2vPD09zWt+vL295ebmJm9vbw0YMEAJCQmqVKmSvLy89PTTTyssLEytWrWSJLVv314hISHq06ePJk2apPT0dI0YMUIxMTHmKs+gQYM0ffp0DR06VP3799eaNWu0aNEiLVu2zG77DgAASg+7rhDNmjVL2dnZatOmjapWrWpuH330kTkmKSlJHTp0UJcuXXTPPffI399fn376qdnv5OSkpUuXysnJSWFhYerdu7f69u2rsWPHmmOCg4O1bNkyrVq1SnfccYcmT56sefPmccs9AACQZOcVIsMw/nWMq6urZsyYoRkzZlxyTFBQkL788svLztOmTRtt37692DUCAICyr9TcZQYAAGAvBCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5BCIAAGB5dg1E69atU8eOHRUQECAHBwd99tlnNv2GYWjUqFGqWrWq3NzcFBERoQMHDtiMOXnypHr16iUvLy/5+PhowIABOnXqlM2YH374QXfffbdcXV0VGBioSZMmlfSuAQCAm4hdA9Hp06d1xx13aMaMGRftnzRpkt58803Nnj1bmzdvlru7uyIjI3X27FlzTK9evbR7926tWrVKS5cu1bp16/TEE0+Y/Tk5OWrfvr2CgoKUmpqq1157TWPGjNGcOXNKfP8AAMDNoZw9PzwqKkpRUVEX7TMMQ1OmTNGIESPUqVMnSdL//d//yc/PT5999pm6d++uvXv3avny5dq6dauaNWsmSZo2bZoeeOABvf766woICNCCBQuUl5end955R87OzmrQoIHS0tL0xhtv2AQnAABgXaX2GqLDhw8rPT1dERERZpu3t7datmyplJQUSVJKSop8fHzMMCRJERERcnR01ObNm80x99xzj5ydnc0xkZGR2rdvn/74448btDcAAKA0s+sK0eWkp6dLkvz8/Gza/fz8zL709HT5+vra9JcrV06VKlWyGRMcHFxkjsK+ihUrFvns3Nxc5ebmmq9zcnKucW8AAEBpVmpXiOxp/Pjx8vb2NrfAwEB7lwQAAEpQqQ1E/v7+kqSMjAyb9oyMDLPP399fmZmZNv3nz5/XyZMnbcZcbI4LP+OfEhMTlZ2dbW7Hjh279h0CAAClVqkNRMHBwfL399fq1avNtpycHG3evFlhYWGSpLCwMGVlZSk1NdUcs2bNGhUUFKhly5bmmHXr1uncuXPmmFWrVqlevXoXPV0mSS4uLvLy8rLZAABA2WXXQHTq1CmlpaUpLS1N0t8XUqelpeno0aNycHBQXFycxo0bp88//1w7d+5U3759FRAQoIceekiSVL9+fd1///16/PHHtWXLFm3YsEGxsbHq3r27AgICJEk9e/aUs7OzBgwYoN27d+ujjz7S1KlTlZCQYKe9BgAApY1dL6r+/vvv1bZtW/N1YUjp16+fkpOTNXToUJ0+fVpPPPGEsrKydNddd2n58uVydXU137NgwQLFxsbq3nvvlaOjo7p06aI333zT7Pf29tbKlSsVExOj0NBQValSRaNGjeKWewAAYLJrIGrTpo0Mw7hkv4ODg8aOHauxY8deckylSpW0cOHCy35Oo0aN9N133111nQAAoGwrtdcQAQAA3CgEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHmWCkQzZsxQjRo15OrqqpYtW2rLli32LgkAAJQClglEH330kRISEjR69Ght27ZNd9xxhyIjI5WZmWnv0gAAgJ1ZJhC98cYbevzxx/XYY48pJCREs2fPVoUKFfTOO+/YuzQAAGBnlghEeXl5Sk1NVUREhNnm6OioiIgIpaSk2LEyAABQGpSzdwE3wm+//ab8/Hz5+fnZtPv5+enHH38sMj43N1e5ubnm6+zsbElSTk5OidRXkHumROYtVFJ1Szd37dLNXf/NXLt0c9d/M9culWz9N3Pt0s1d/81cu1Qy9RfOaRjGvw82LOCXX34xJBkbN260aR8yZIjRokWLIuNHjx5tSGJjY2NjY2MrA9uxY8f+NStYYoWoSpUqcnJyUkZGhk17RkaG/P39i4xPTExUQkKC+bqgoEAnT55U5cqV5eDgUOL1Xk5OTo4CAwN17NgxeXl52bUWq+HY2w/H3n449vbDsb92hmHozz//VEBAwL+OtUQgcnZ2VmhoqFavXq2HHnpI0t8hZ/Xq1YqNjS0y3sXFRS4uLjZtPj4+N6DSK+fl5cV/IHbCsbcfjr39cOzth2N/bby9va9onCUCkSQlJCSoX79+atasmVq0aKEpU6bo9OnTeuyxx+xdGgAAsDPLBKJHHnlEv/76q0aNGqX09HQ1btxYy5cvL3KhNQAAsB7LBCJJio2NvegpspuJi4uLRo8eXeSUHkoex95+OPb2w7G3H479jeVgGFdyLxoAAEDZZYkHMwIAAFwOgQgAAFgegQgAAFgegQgAAFgegegmMmPGDNWoUUOurq5q2bKltmzZYu+Syrzx48erefPm8vT0lK+vrx566CHt27fP3mVZ0oQJE+Tg4KC4uDh7l2IJv/zyi3r37q3KlSvLzc1NDRs21Pfff2/vssq8/Px8jRw5UsHBwXJzc1OtWrX08ssvX9l3ceGaEIhuEh999JESEhI0evRobdu2TXfccYciIyOVmZlp79LKtLVr1yomJkabNm3SqlWrdO7cObVv316nT5+2d2mWsnXrVr311ltq1KiRvUuxhD/++EPh4eEqX768vvrqK+3Zs0eTJ09WxYoV7V1amTdx4kTNmjVL06dP1969ezVx4kRNmjRJ06ZNs3dpZR633d8kWrZsqebNm2v69OmS/v7qkcDAQD399NMaPny4nauzjl9//VW+vr5au3at7rnnHnuXYwmnTp1S06ZNNXPmTI0bN06NGzfWlClT7F1WmTZ8+HBt2LBB3333nb1LsZwOHTrIz89Pb7/9ttnWpUsXubm56f3337djZWUfK0Q3gby8PKWmpioiIsJsc3R0VEREhFJSUuxYmfVkZ2dLkipVqmTnSqwjJiZG0dHRNj//KFmff/65mjVrpocffli+vr5q0qSJ5s6da++yLOHOO+/U6tWrtX//fknSjh07tH79ekVFRdm5srLPUk+qvln99ttvys/PL/I1I35+fvrxxx/tVJX1FBQUKC4uTuHh4br99tvtXY4lfPjhh9q2bZu2bt1q71Is5dChQ5o1a5YSEhL0wgsvaOvWrXrmmWfk7Oysfv362bu8Mm348OHKycnRbbfdJicnJ+Xn5+uVV15Rr1697F1amUcgAq5QTEyMdu3apfXr19u7FEs4duyYnn32Wa1atUqurq72LsdSCgoK1KxZM7366quSpCZNmmjXrl2aPXs2gaiELVq0SAsWLNDChQvVoEEDpaWlKS4uTgEBARz7EkYguglUqVJFTk5OysjIsGnPyMiQv7+/naqyltjYWC1dulTr1q1TtWrV7F2OJaSmpiozM1NNmzY12/Lz87Vu3TpNnz5dubm5cnJysmOFZVfVqlUVEhJi01a/fn198skndqrIOoYMGaLhw4ere/fukqSGDRvqyJEjGj9+PIGohHEN0U3A2dlZoaGhWr16tdlWUFCg1atXKywszI6VlX2GYSg2NlZLlizRmjVrFBwcbO+SLOPee+/Vzp07lZaWZm7NmjVTr169lJaWRhgqQeHh4UUeL7F//34FBQXZqSLrOHPmjBwdbX81Ozk5qaCgwE4VWQcrRDeJhIQE9evXT82aNVOLFi00ZcoUnT59Wo899pi9SyvTYmJitHDhQv33v/+Vp6en0tPTJUne3t5yc3Ozc3Vlm6enZ5Frtdzd3VW5cmWu4Sph8fHxuvPOO/Xqq6+qW7du2rJli+bMmaM5c+bYu7Qyr2PHjnrllVdUvXp1NWjQQNu3b9cbb7yh/v3727u0Mo/b7m8i06dP12uvvab09HQ1btxYb775plq2bGnvsso0BweHi7bPnz9fjz766I0tBmrTpg233d8gS5cuVWJiog4cOKDg4GAlJCTo8ccft3dZZd6ff/6pkSNHasmSJcrMzFRAQIB69OihUaNGydnZ2d7llWkEIgAAYHlcQwQAACyPQAQAACyPQAQAACyPQAQAACyPQAQAACyPQAQAACyPQAQAACyPQASg1HBwcNBnn31m7zIAWBCBCMANkZ6erqefflo1a9aUi4uLAgMD1bFjR5vv6LOnNm3ayMHBQR9++KFN+5QpU1SjRg37FAXghiEQAShxP//8s0JDQ7VmzRq99tpr2rlzp5YvX662bdsqJibG3uWZXF1dNWLECJ07d87epQC4wQhEAErc4MGD5eDgoC1btqhLly6qW7euGjRooISEBG3atOmS7xs2bJjq1q2rChUqqGbNmho5cqRNWNmxY4fatm0rT09PeXl5KTQ0VN9//70k6ciRI+rYsaMqVqwod3d3NWjQQF9++eVl6+zRo4eysrI0d+7cS445ePCgOnXqJD8/P3l4eKh58+b6+uuvbcbUqFFD48aNU9++feXh4aGgoCB9/vnn+vXXX9WpUyd5eHioUaNGZq2F1q9fr7vvvltubm4KDAzUM888o9OnT1+2ZgDXB4EIQIk6efKkli9frpiYGLm7uxfp9/HxueR7PT09lZycrD179mjq1KmaO3eukpKSzP5evXqpWrVq2rp1q1JTUzV8+HCVL19ekhQTE6Pc3FytW7dOO3fu1MSJE+Xh4XHZWr28vPTiiy9q7Nixlwwip06d0gMPPKDVq1dr+/btuv/++9WxY0cdPXrUZlxSUpLCw8O1fft2RUdHq0+fPurbt6969+6tbdu2qVatWurbt68Kv07y4MGDuv/++9WlSxf98MMP+uijj7R+/XrFxsZetmYA14kBACVo8+bNhiTj008//dexkowlS5Zcsv+1114zQkNDzdeenp5GcnLyRcc2bNjQGDNmzBXX2bp1a+PZZ581zp49awQFBRljx441DMMwkpKSjKCgoMu+t0GDBsa0adPM10FBQUbv3r3N1ydOnDAkGSNHjjTbUlJSDEnGiRMnDMMwjAEDBhhPPPGEzbzfffed4ejoaPz1119XvB8Arg4rRABKlPH/r4BcjY8++kjh4eHy9/eXh4eHRowYYbMSk5CQoIEDByoiIkITJkzQwYMHzb5nnnlG48aNU3h4uEaPHq0ffvjhij7TxcVFY8eO1euvv67ffvutSP+pU6f0/PPPq379+vLx8ZGHh4f27t1bZIWoUaNG5p/9/PwkSQ0bNizSlpmZKenv03/Jycny8PAwt8jISBUUFOjw4cNXVDuAq0cgAlCi6tSpIwcHB/3444/Fel9KSop69eqlBx54QEuXLtX27dv14osvKi8vzxwzZswY7d69W9HR0VqzZo1CQkK0ZMkSSdLAgQN16NAh9enTRzt37lSzZs00bdq0K/rs3r17KygoSOPGjSvS9/zzz2vJkiV69dVX9d133yktLU0NGza0qUuSeepO+vtxApdqKygokPR30HryySeVlpZmbjt27NCBAwdUq1atK6obwNUjEAEoUZUqVVJkZKRmzJhx0etysrKyLvq+jRs3KigoSC+++KKaNWumOnXq6MiRI0XG1a1bV/Hx8Vq5cqU6d+6s+fPnm32BgYEaNGiQPv30Uz333HOXvVj6Qo6Ojho/frxmzZqln3/+2aZvw4YNevTRR/Wf//xHDRs2lL+/f5ExV6Np06bas2ePateuXWRzdna+5vkBXB6BCECJmzFjhvLz89WiRQt98sknOnDggPbu3as333xTYWFhF31PnTp1dPToUX344Yc6ePCg3nzzTXP1R5L++usvxcbG6ttvv9WRI0e0YcMGbd26VfXr15ckxcXFacWKFTp8+LC2bdumb775xuy7EtHR0WrZsqXeeuutInV9+umn5gpOz549zVWeazFs2DBt3LhRsbGxSktL04EDB/Tf//6Xi6qBG4RABKDE1axZU9u2bVPbtm313HPP6fbbb9d9992n1atXa9asWRd9z4MPPqj4+HjFxsaqcePG2rhxo0aOHGn2Ozk56ffff1ffvn1Vt25ddevWTVFRUXrppZckSfn5+YqJiVH9+vV1//33q27dupo5c2ax6p44caLOnj1r0/bGG2+oYsWKuvPOO9WxY0dFRkaqadOmxTwiRTVq1Ehr167V/v37dffdd6tJkyYaNWqUAgICrnluAP/OwbiWKx4BAADKAFaIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5RGIAACA5f1/+8TXIekpjwMAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "id": "_5FAE612eYDx"
      },
      "outputs": [],
      "source": [
        "X_train = X_train / 255\n",
        "X_test = X_test / 255"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "lJGPmDHje52-"
      },
      "outputs": [],
      "source": [
        "X_train = X_train.reshape(-1,28,28,1)    #training set\n",
        "X_test = X_test.reshape(-1,28,28,1)      #test set"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "num_digits_to_plot = 10\n",
        "\n",
        "plt.figure(figsize=(12, 6))\n",
        "for i in range(num_digits_to_plot):\n",
        "    plt.subplot(2, 5, i + 1)\n",
        "    plt.imshow(X_train[i][:,:,0])\n",
        "    plt.axis('off')\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 512
        },
        "id": "sSfQTfHHw06j",
        "outputId": "85f5c132-c218-4a13-ad01-ec93c873edbb"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x600 with 10 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "id": "WFt3cco1e9HD"
      },
      "outputs": [],
      "source": [
        "model = tf.keras.models.Sequential()\n",
        "\n",
        "model.add(tf.keras.layers.Convolution2D(\n",
        "    input_shape=(28, 28,1),\n",
        "    kernel_size=5,\n",
        "    filters=8,\n",
        "    strides=1,\n",
        "    activation=tf.keras.activations.relu,\n",
        "    kernel_initializer=tf.keras.initializers.VarianceScaling()\n",
        "))\n",
        "\n",
        "model.add(tf.keras.layers.MaxPooling2D(\n",
        "    pool_size=(2, 2),\n",
        "    strides=(2, 2)\n",
        "))\n",
        "\n",
        "model.add(tf.keras.layers.Convolution2D(\n",
        "    kernel_size=5,\n",
        "    filters=16,\n",
        "    strides=1,\n",
        "    activation=tf.keras.activations.relu,\n",
        "    kernel_initializer=tf.keras.initializers.VarianceScaling()\n",
        "))\n",
        "\n",
        "model.add(tf.keras.layers.MaxPooling2D(\n",
        "    pool_size=(2, 2),\n",
        "    strides=(2, 2)\n",
        "))\n",
        "\n",
        "model.add(tf.keras.layers.Flatten())\n",
        "\n",
        "model.add(tf.keras.layers.Dense(\n",
        "    units=128,\n",
        "    activation=tf.keras.activations.relu\n",
        "));\n",
        "\n",
        "model.add(tf.keras.layers.Dropout(0.2))\n",
        "\n",
        "model.add(tf.keras.layers.Dense(\n",
        "    units=10,\n",
        "    activation=tf.keras.activations.softmax,\n",
        "    kernel_initializer=tf.keras.initializers.VarianceScaling()\n",
        "))\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Je87os4IfAe_",
        "outputId": "cf07ed2b-71d9-4ced-9e55-6cdcd0075fbd"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "1782/1782 [==============================] - 21s 5ms/step - loss: 0.2135 - accuracy: 0.9343 - val_loss: 0.0617 - val_accuracy: 0.9843\n",
            "Epoch 2/10\n",
            "1782/1782 [==============================] - 7s 4ms/step - loss: 0.0764 - accuracy: 0.9766 - val_loss: 0.0513 - val_accuracy: 0.9860\n",
            "Epoch 3/10\n",
            "1782/1782 [==============================] - 7s 4ms/step - loss: 0.0552 - accuracy: 0.9829 - val_loss: 0.0502 - val_accuracy: 0.9853\n",
            "Epoch 4/10\n",
            "1782/1782 [==============================] - 7s 4ms/step - loss: 0.0452 - accuracy: 0.9855 - val_loss: 0.0335 - val_accuracy: 0.9917\n",
            "Epoch 5/10\n",
            "1782/1782 [==============================] - 7s 4ms/step - loss: 0.0360 - accuracy: 0.9885 - val_loss: 0.0392 - val_accuracy: 0.9900\n",
            "Epoch 6/10\n",
            "1782/1782 [==============================] - 8s 4ms/step - loss: 0.0308 - accuracy: 0.9904 - val_loss: 0.0357 - val_accuracy: 0.9897\n",
            "Epoch 7/10\n",
            "1782/1782 [==============================] - 8s 4ms/step - loss: 0.0277 - accuracy: 0.9911 - val_loss: 0.0314 - val_accuracy: 0.9910\n",
            "Epoch 8/10\n",
            "1782/1782 [==============================] - 8s 4ms/step - loss: 0.0246 - accuracy: 0.9926 - val_loss: 0.0335 - val_accuracy: 0.9910\n",
            "Epoch 9/10\n",
            "1782/1782 [==============================] - 6s 4ms/step - loss: 0.0222 - accuracy: 0.9924 - val_loss: 0.0367 - val_accuracy: 0.9907\n",
            "Epoch 10/10\n",
            "1782/1782 [==============================] - 7s 4ms/step - loss: 0.0194 - accuracy: 0.9933 - val_loss: 0.0417 - val_accuracy: 0.9903\n",
            "313/313 [==============================] - 1s 2ms/step - loss: 0.0304 - accuracy: 0.9912\n",
            "Test accuracy: 0.9911999702453613\n"
          ]
        }
      ],
      "source": [
        "model.compile(optimizer = 'adam',\n",
        "              loss = 'sparse_categorical_crossentropy',\n",
        "              metrics = ['accuracy']\n",
        ")\n",
        "history = model.fit(X_train, y_train, epochs=10, validation_split=0.05)\n",
        "\n",
        "test_loss, test_acc = model.evaluate(X_test, y_test)\n",
        "print(f\"Test accuracy: {test_acc}\")"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "test_loss, test_acc = model.evaluate(X_test, y_test)\n",
        "print(f\"Test accuracy: {test_acc}\")\n",
        "\n",
        "train_loss = history.history['loss']\n",
        "val_loss = history.history['val_loss']\n",
        "train_acc = history.history['accuracy']\n",
        "val_acc = history.history['val_accuracy']\n",
        "\n",
        "epochs = range(1, len(train_loss) + 1)\n",
        "\n",
        "plt.figure(figsize=(10, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(epochs, train_loss, 'g', label='Training loss')\n",
        "plt.plot(epochs, val_loss, 'b', label='Validation loss')\n",
        "plt.title('Training and Validation Loss')\n",
        "plt.xlabel('Epochs')\n",
        "plt.ylabel('Loss')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 539
        },
        "id": "ibfUM_Sgxncx",
        "outputId": "44100f34-1877-4cd2-9801-56ba262b8e97"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "313/313 [==============================] - 1s 2ms/step - loss: 0.0304 - accuracy: 0.9912\n",
            "Test accuracy: 0.9911999702453613\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7cc570ee3070>"
            ]
          },
          "metadata": {},
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# list all data in history\n",
        "print(history.history.keys())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ScaNPRgUNY3R",
        "outputId": "b57d73b9-71e3-4c90-de97-c563208ff65d"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "dict_keys(['loss', 'accuracy', 'val_loss', 'val_accuracy'])\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# summarize history for accuracy\n",
        "plt.plot(history.history['accuracy'])\n",
        "plt.plot(history.history['val_accuracy'])\n",
        "plt.title('model accuracy')\n",
        "plt.ylabel('accuracy')\n",
        "plt.xlabel('epoch')\n",
        "plt.legend(['train', 'test'], loc='upper left')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "V8Xeu-qrNYqD",
        "outputId": "954dd18c-f57d-4f3d-e96a-61eb3cd2e6db"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(history.history['loss'])\n",
        "plt.plot(history.history['val_loss'])\n",
        "plt.title('model loss')\n",
        "plt.ylabel('loss')\n",
        "plt.xlabel('epoch')\n",
        "plt.legend(['train', 'test'], loc='upper left')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "n0-bqCbwNzio",
        "outputId": "b7ba7c83-4b6c-483c-d3c2-5eb8810da8be"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "id": "fnNKk7xNfs7M",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d7b29324-70bf-406f-f9b5-a0cb2ec8edd4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "313/313 [==============================] - 1s 2ms/step\n"
          ]
        }
      ],
      "source": [
        "y_predicted = model.predict(X_test)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_predicted_labels = [np.argmax(i) for i in y_predicted]"
      ],
      "metadata": {
        "id": "IXZarYAJ0vBg"
      },
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "cm = tf.math.confusion_matrix(labels=y_test,predictions=y_predicted_labels)\n",
        "cm"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bVc6cSIs01VY",
        "outputId": "685e5e9b-c6c2-4142-8d77-6140eceb04bb"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<tf.Tensor: shape=(10, 10), dtype=int32, numpy=\n",
              "array([[ 975,    0,    0,    0,    2,    0,    0,    2,    1,    0],\n",
              "       [   0, 1123,    0,    4,    1,    1,    3,    3,    0,    0],\n",
              "       [   0,    1, 1028,    0,    1,    0,    0,    2,    0,    0],\n",
              "       [   0,    0,    1, 1005,    0,    2,    0,    1,    1,    0],\n",
              "       [   0,    0,    0,    0,  981,    0,    0,    0,    0,    1],\n",
              "       [   0,    0,    0,    8,    0,  881,    1,    0,    0,    2],\n",
              "       [   3,    1,    0,    0,    4,    3,  944,    0,    3,    0],\n",
              "       [   0,    3,    5,    0,    0,    0,    0, 1018,    1,    1],\n",
              "       [   1,    0,    1,    1,    1,    1,    0,    0,  966,    3],\n",
              "       [   0,    1,    0,    0,   10,    3,    0,    3,    1,  991]],\n",
              "      dtype=int32)>"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sn\n",
        "plt.figure(figsize = (10,7))\n",
        "sn.heatmap(cm, annot=True, fmt='d')\n",
        "plt.xlabel('Predicted')\n",
        "plt.ylabel('Truth')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 636
        },
        "id": "8Wxt-A2f03wd",
        "outputId": "a2666851-f57e-4580-a658-fe0ea0c08729"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(95.72222222222221, 0.5, 'Truth')"
            ]
          },
          "metadata": {},
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x700 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "LFSBcMiw0543"
      },
      "execution_count": null,
      "outputs": []
    }
  ],
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}