mnist_handwritten_digit_classification.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/swapnita-pandey/Handwritten-Digit-Classification/blob/main/mnist_handwritten_digit_classification.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xpnShuLQ-E_N"
      },
      "source": [
        "# Importing required Libraries"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Y-nEPi5qW3da"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import keras\n",
        "from keras.models import Sequential\n",
        "from keras.datasets import mnist\n",
        "from keras.layers import Dense\n",
        "from keras.optimizers import adam_v2\n",
        "from keras.utils.np_utils import to_categorical\n",
        "import random"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "189HA9pVAFMZ"
      },
      "source": [
        "#importing images from mnist data set"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "LBIPNuHgW3dg"
      },
      "outputs": [],
      "source": [
        "(X_train, y_train), (X_test, y_test) = mnist.load_data()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uEAHIa39Kh-G"
      },
      "source": [
        "# Printing how much images does our training data has."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "G2BJwb_rW3dg",
        "outputId": "a6638539-4d97-4f48-847f-1391619477f1"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(60000, 28, 28)\n",
            "(60000,)\n",
            "(10000, 28, 28)\n",
            "(10000,)\n"
          ]
        }
      ],
      "source": [
        "print(X_train.shape)\n",
        "print(y_train.shape)\n",
        "print(X_test.shape)\n",
        "print(y_test.shape)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xrTcLFSfKTgm"
      },
      "source": [
        "# Showing some random pictures of each digit"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 720
        },
        "id": "bsk7XBjUW3di",
        "outputId": "63615f58-eff0-424c-bb32-1fd593e234b5"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x720 with 150 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "num_of_samples = []\n",
        "\n",
        "cols = 15\n",
        "num_of_classes = 10\n",
        "\n",
        "fig, axs = plt.subplots(nrows=num_of_classes, ncols=cols,\n",
        "                        figsize=(15, 10))\n",
        "fig.tight_layout()\n",
        "for i in range(cols):\n",
        "  for j in range(num_of_classes):\n",
        "    x_selected = X_train[y_train == j]\n",
        "    axs[j][i].imshow(x_selected[random.randint(0, len(x_selected - 1)),\n",
        "                                :, :],\n",
        "                     cmap=plt.get_cmap('gray'))\n",
        "    axs[j][i].axis(\"off\")\n",
        "    if i == 2:\n",
        "      axs[j][i].set_title(str(j))\n",
        "      num_of_samples.append(len(x_selected))\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hH7RU0L0LqLi"
      },
      "source": [
        "# We can see each of the digits has how much images from code below."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 330
        },
        "id": "3j2NkEdoW3dj",
        "outputId": "7e7363d9-f94e-4448-880d-01fe68aca4a7"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of samples: [5923, 6742, 5958, 6131, 5842, 5421, 5918, 6265, 5851, 5949]\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Number of images')"
            ]
          },
          "metadata": {},
          "execution_count": 112
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "print(\"Number of samples:\", num_of_samples)\n",
        "plt.figure(figsize=(12, 4))       # width and height in inches\n",
        "plt.bar(range(0, num_of_classes), num_of_samples)\n",
        "plt.title(\"Distribution of the training dataset\")\n",
        "plt.xlabel(\"Class Number\")\n",
        "plt.ylabel(\"Number of images\")\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "B6tvNR6NW3dk"
      },
      "outputs": [],
      "source": [
        "y_train = to_categorical(y_train, 10)\n",
        "y_test = to_categorical(y_test, 10)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "smK-nD3jO6js"
      },
      "source": [
        "#Each image has Intensity from 0 to 255"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "g-oPi_eeW3dk"
      },
      "outputs": [],
      "source": [
        "X_train = X_train/255\n",
        "X_test = X_test/255\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5ZvKrmYOO9Qh"
      },
      "source": [
        "#we must change the shape of the images to 1d array(28*28)\n",
        "#for multipication 1*784"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6gh7dkZQW3dl",
        "outputId": "10f4689a-a773-4758-d13b-d04be78526ad"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(60000, 784)\n",
            "(10000, 784)\n"
          ]
        }
      ],
      "source": [
        "num_pixels = 784\n",
        "X_train = X_train.reshape(X_train.shape[0],\n",
        "                          num_pixels)\n",
        "X_test = X_test.reshape(X_test.shape[0],\n",
        "                        num_pixels)\n",
        "print(X_train.shape)\n",
        "print(X_test.shape)\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3BIAzPfD_FVN"
      },
      "source": [
        "# creating the model"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "BO5QGRdaW3dm"
      },
      "outputs": [],
      "source": [
        "def create_model():\n",
        "  model = Sequential()\n",
        "  model.add(Dense(128, input_dim=num_pixels,\n",
        "                  activation='relu'))\n",
        "  model.add(Dense(128, activation='relu'))\n",
        "  model.add(Dense(10, activation='relu'))\n",
        "  model.add(Dense(num_of_classes, activation='softmax'))\n",
        "  model.compile(optimizer='adam',\n",
        "                loss='categorical_crossentropy',\n",
        "                metrics=['accuracy'])\n",
        "  return model\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w4sSPLw5_UUF"
      },
      "source": [
        "# We can see our layers with how much parameter has the layer"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "XiCoUTZnW3dm",
        "outputId": "def49fb4-6881-4afc-92e2-6675269f89b8"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model: \"sequential_5\"\n",
            "_________________________________________________________________\n",
            " Layer (type)                Output Shape              Param #   \n",
            "=================================================================\n",
            " dense_20 (Dense)            (None, 128)               100480    \n",
            "                                                                 \n",
            " dense_21 (Dense)            (None, 128)               16512     \n",
            "                                                                 \n",
            " dense_22 (Dense)            (None, 10)                1290      \n",
            "                                                                 \n",
            " dense_23 (Dense)            (None, 10)                110       \n",
            "                                                                 \n",
            "=================================================================\n",
            "Total params: 118,392\n",
            "Trainable params: 118,392\n",
            "Non-trainable params: 0\n",
            "_________________________________________________________________\n",
            "None\n"
          ]
        }
      ],
      "source": [
        "model = create_model()\n",
        "print(model.summary())\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JBUBtrCk_f1E"
      },
      "source": [
        "# Now we can train and see the results."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2MBGCQFRW3dn",
        "outputId": "d397629c-c01f-4b1d-a639-d747cb2592a4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "270/270 [==============================] - 5s 16ms/step - loss: 0.5580 - accuracy: 0.8369 - val_loss: 0.1819 - val_accuracy: 0.9500\n",
            "Epoch 2/10\n",
            "270/270 [==============================] - 3s 12ms/step - loss: 0.1725 - accuracy: 0.9511 - val_loss: 0.1177 - val_accuracy: 0.9688\n",
            "Epoch 3/10\n",
            "270/270 [==============================] - 2s 8ms/step - loss: 0.1169 - accuracy: 0.9656 - val_loss: 0.0960 - val_accuracy: 0.9725\n",
            "Epoch 4/10\n",
            "270/270 [==============================] - 2s 6ms/step - loss: 0.0867 - accuracy: 0.9741 - val_loss: 0.0921 - val_accuracy: 0.9752\n",
            "Epoch 5/10\n",
            "270/270 [==============================] - 2s 6ms/step - loss: 0.0675 - accuracy: 0.9803 - val_loss: 0.0895 - val_accuracy: 0.9752\n",
            "Epoch 6/10\n",
            "270/270 [==============================] - 2s 7ms/step - loss: 0.0532 - accuracy: 0.9843 - val_loss: 0.0835 - val_accuracy: 0.9768\n",
            "Epoch 7/10\n",
            "270/270 [==============================] - 2s 8ms/step - loss: 0.0439 - accuracy: 0.9868 - val_loss: 0.0832 - val_accuracy: 0.9775\n",
            "Epoch 8/10\n",
            "270/270 [==============================] - 2s 7ms/step - loss: 0.0357 - accuracy: 0.9891 - val_loss: 0.0794 - val_accuracy: 0.9777\n",
            "Epoch 9/10\n",
            "270/270 [==============================] - 2s 6ms/step - loss: 0.0291 - accuracy: 0.9909 - val_loss: 0.0781 - val_accuracy: 0.9785\n",
            "Epoch 10/10\n",
            "270/270 [==============================] - 2s 7ms/step - loss: 0.0241 - accuracy: 0.9926 - val_loss: 0.0767 - val_accuracy: 0.9797\n"
          ]
        }
      ],
      "source": [
        "history = model.fit(X_train, y_train, validation_split=0.1,\n",
        "                    epochs=10, batch_size=200, verbose=1, shuffle=1)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CHC5rGMyVz-u"
      },
      "source": [
        "# We will keep our training model in history so we can plot and see some visual content"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "-PgE5rlOW3dn",
        "outputId": "c9e4b259-b58a-4a96-f264-0b618417e283"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'epoch')"
            ]
          },
          "metadata": {},
          "execution_count": 119
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.plot(history.history['loss'])\n",
        "plt.plot(history.history['val_loss'])\n",
        "plt.legend(['loss', 'val_loss'])\n",
        "plt.title('Loss')\n",
        "plt.xlabel('epoch')\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AuegLdlWWBjl"
      },
      "source": [
        "# We can see accuracy as well"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "7beG4UoPW3do",
        "outputId": "ec6fae4b-5fed-4cb6-8ed8-d1e656b30245"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'epoch')"
            ]
          },
          "metadata": {},
          "execution_count": 120
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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6iZlOeI+YBhMvcUK8NdzTR/T5yURVZeu+Wpat38uyDXvZtMe5PHJyfgZ3nX8CcycP5/ih6X3aBmNM6FjQh5qvETa8AQe2tu+dN1S2r5c23AnvcV9uH+Q5Y52vYPdzD7mlRfmkrJJlG/ayfP1eSg7WIwJFo7O5/+sT+Oqk4YzKSenXNhljQsOCPpT2b4JXb4J960FiIWuUE96TL28f5NljnK94h5nP38L/lFSwfP1elm/Yx97qBuJihDOPz+Xmc8Zx3sRhDE1PCnczjTG9ZEEfCqrwz2dgxQPOl3Gu/K1zNUuETWwE0NDs5x/bDrBs/V7e2bQPb30zSfExzDohj7snn8icE4eRmRJ57TbG9JwFfW/V7IU3vgOfvwvjvwoXPwlpQ8PdqnZqG328v2U/y9bvZeXm/dQ1+UlPjOPcCUOZO3k455yQR0qC/VcwJlrZb3dvbP4TvHmrM1/11x+DohsjZmKn+iYff1q3h+Ub9rLqswM0+VrITUvgGyfn89VJwzjzuFy7i5Ixg4QFfU801cGye+GjF2D4VLj8Ocg7MdytAqDZ38LvPTv51TufUV7TSH5WMtecNpq5k4czY3S2XeNuzCBkQX+sdq2BV292rqg563b48g/65Nr1Y6WqLN+wj58t28z2A3UUjc7myaumM3Nsjl3jbswgZ0EfrBY//P0X8P4jzjdMr/sjjD073K0CwFNSwcN/3syaUi/H5aWy6NoZnDdxmAW8MQawoA+OtxRe/1fYsRomXQYX/sK51j3Mtu2v4afLtrBi4z6Gpify8GVTmDejgLhYG3s3xhwWVNCLyFzgcZw7TD2nqo902D4a5/aBeUAFcI2qlrnbCoHncO47q8DXVLUkVC+gT6nCut/D23c5y5c+A1Pnh/2E677qBn71zlZ+V7yTlIQ47jr/BP7lS2PtyhljTKe6TQYRiQWeAs4DyoBiEXlTVTcGVHsUeFFVXxCROcDDwLXutheBn6jqCvfG4S0hfQV95VAl/OlOWP8qjDodLnvG+aJTGNU0NPPMX7fz3N+3429RvnXGGG6dczxD0hLD2i5jTGQLpgs4E9imqtsBROQV4GIgMOgnAne6yyuBN9y6E4E4VV0BoKrd3VAzMpT8HV77V2cOmi/fD1+6A2LD11tu8rXw8j9L+Y/3tlFR18RF00by7+efSOEQm5LAGNO9YNIrn/Y3disDTutQ5xPgMpzhnUuBdBEZApwAVIrIa8BY4B3gHlX197bhfcLXBCt/Av943Jl/5sYVUDAjbM1paVHe+nQPP1++mZ0VhzjzuCHcc8FJTC3IClubjDEDT6i6qXcBT4rI9cAqYBfgd49/NjAd2AH8Drge+M/AnUVkAbAAoLCwMERNOkblW+G1m2DPJ3DKdfDV/wuJaeFpC/CPbQd45M+b+XRXFScNT2fJDacy64Q8u5LGGHPMggn6XTgnUlsVuGVtVHU3To8edxz+clWtFJEyYG3AsM8bwOl0CHpVXQQsAigqKtKevZQeUgXPf8Ly+yE+Gea/DBMu7NcmBNq4u5pHlm1m1dZy8rOSeWzeNC6Znm9fdDLG9FgwQV8MjBeRsTgBfyXwzcAKIpILVKhqC3AvzhU4rftmiUieqpYDcwBPqBrfa7Xl8OYtsHUZHHcuXPK0cxu9MCjz1vOLFVt5/eNdZCTFc9/XTuJbZ4whKd5uxWeM6Z1ug15VfSJyC7Ac5/LKxaq6QUQeAjyq+iYwG3hYRBRn6Oa77r5+EbkLeFecMYc1wLN981KO0dbl8N/fhYZqmPtTmLmgz2/o0ZnK+iaeWrmNF1aXArDg7HF8Z/bxNoOkMSZkRLV/R0q6U1RUpB5PH3b6m+phxQ+h+DkYNhkuexaGTey75+tCQ7OfJR+U8PTKbdQ0+rhsegF3nn8C+VnJ/d4WY8zAJyJrVLWos22D6xs2ez5xbgxyYCuccQvM+SHE9++NNfwtymsflfHLFVvZXdXA7BPzuHvuSUwYkdGv7TDGDB6DI+hb/PDBf8B7P4bUXLj2DTjuy/3aBFXl/S3l/HTZZjbvrWFqQSaPXjGNM4/L7dd2GGMGn+gP+qoyeP3bUPI3mHARXPQEpOT0axM+2VnJw3/exIfbKyjMSeE/rprO16eMIMaupDHG9IPoDvr1r8Jbd4DfB994EqZf06/z1JQerONny7fwp3V7yElNYOFFE/nmaaPthh/GmH4VnUHfUA1v/zusewXyi+CyRTDkuH57+gO1jfzHu5/x8j93EB8bw61zjmfBOeNIT7IraYwx/S/6gn7Hh/Dazc6Qzay74Zx/79ebdJcerOPCJ/5OfbOfK4pGccdXxjM0o39P+BpjTKDoCXp/M/z1p/C3xyBzFNywDAo7TsnT91Zs3EdNo4+3bv0Sk/Mz+/35jTGmo+gJ+qqdsPopmHolXPBTSArP5YprSr2Mykm2kDfGRIzoCfqccfCdDyF7dNiaoKoUl3g5e7xdMmmMiRzRdflHGEMeoPRgPQdqGykaE/7bDBpjTKvoCvow85R6ATh1TP9ep2+MMUdjQR9CnpIKMpPjOT4vfPPYG2NMRxb0IVRcUsGM0dn2jVdjTESxoA+RiromPi+vs/F5Y0zEsaAPkTU2Pm+MiVAW9CHiKakgITaGKXb9vDEmwljQh4in1MuUgky79Z8xJuIEFfQiMldEtojINhG5p5Pto0XkXRFZJyLvi0hBh+0ZIlImIk+GquGRpKHZz7qyShufN8ZEpG6DXkRigaeAC4CJwFUi0vHee48CL6rqVOAh4OEO23+Ecy/ZqLSurIpmv1I02sbnjTGRJ5ge/Uxgm6puV9Um4BXg4g51JgLvucsrA7eLyAxgGPCX3jc3MnlKKwCYMdp69MaYyBNM0OcDOwPWy9yyQJ8Al7nLlwLpIjJERGKAx4C7jvYEIrJARDwi4ikvLw+u5RHEU+Ll+KFp5KQmhLspxhhzhFCdjL0LmCUiHwOzgF2AH/gO8Laqlh1tZ1VdpKpFqlqUl5cXoib1j5YWxVNSQZH15o0xESqY2St3AaMC1gvcsjaquhu3Ry8iacDlqlopImcAZ4vId4A0IEFEalX1iBO6A9W28lqqG3wU2fXzxpgIFUzQFwPjRWQsTsBfCXwzsIKI5AIVqtoC3AssBlDVqwPqXA8URVPIgzPtAcCpdsWNMSZCdTt0o6o+4BZgObAJ+L2qbhCRh0TkG2612cAWEdmKc+L1J33U3ojjKfGSm5ZIYU5KuJtijDGdCurGI6r6NvB2h7IHApaXAku7OcYSYMkxtzDCeUorOHVMNiI2kZkxJjLZN2N7YW9VAzsrDtn4vDEmolnQ90Lr9fN2xY0xJpJZ0PeCp8RLcnwsE0eG50bkxhgTDAv6XvCUVjC9MIv4WHsbjTGRyxKqh2obfWzcXW3DNsaYiGdB30Mf7/DSotiJWGNMxLOg7yFPiZcYgemFWeFuijHGHJUFfQ95Sis4aXgG6Unx4W6KMcYclQV9D/j8LXy8o9KmPTDGDAgW9D2waU8N9U1+G583xgwIFvQ90DqRmd060BgzEFjQ94CntIL8rGRGZCaHuynGGNMtC/pjpKp4Srw2Pm+MGTAs6I/RzopD7K9ptPF5Y8yAYUF/jGx83hgz0FjQHyNPqZf0pDhOGJoe7qYYY0xQggp6EZkrIltEZJuIHHErQBEZLSLvisg6EXlfRArc8pNFZLWIbHC3zQ/1C+hvrTcCj4mxG40YYwaGboNeRGKBp4ALgInAVSIysUO1R4EXVXUq8BDwsFteD3xLVScBc4FficiAnTOgsr6Jz/bX2vi8MWZACaZHPxPYpqrbVbUJeAW4uEOdicB77vLK1u2qulVVP3OXdwP7gbxQNDwc1pR6AbvRiDFmYAkm6POBnQHrZW5ZoE+Ay9zlS4F0ERkSWEFEZgIJwOcdn0BEFoiIR0Q85eXlwba93xWXeImPFaaNGrAfSowxg1CoTsbeBcwSkY+BWcAuwN+6UURGAL8BblDVlo47q+oiVS1S1aK8vMjt8HtKKpicn0lSfGy4m2KMMUELJuh3AaMC1gvcsjaqultVL1PV6cAP3LJKABHJAP4E/EBVPwxJq8OgodnPurIqTrXxeWPMABNM0BcD40VkrIgkAFcCbwZWEJFcEWk91r3AYrc8AXgd50Tt0tA1u/+t31VFk7/FxueNMQNOt0Gvqj7gFmA5sAn4vapuEJGHROQbbrXZwBYR2QoMA37ill8BnANcLyJr3cfJoX4R/aG4xDkRO8OC3hgzwMQFU0lV3wbe7lD2QMDyUuCIHruqvgS81Ms2RoQ1pRWMy0tlSFpiuJtijDHHxL4ZG4SWFsVT6uXU0TY+b4wZeCzog/B5eS2V9c3MsPltjDEDkAV9EDzuF6XsihtjzEBkQR+E4pIKctMSGDMkJdxNMcaYY2ZBHwRPiZcZo7MRsYnMjDEDjwV9N/ZXN7Cjot6GbYwxA5YFfTdax+dtxkpjzEBlQd+N4pIKkuJjmDQyI9xNMcaYHrGg74anxMvJo7KIj7W3yhgzMFl6HUVdo4+Ne6ptfN4YM6BZ0B/F2p2V+FvU5rcxxgxoFvRHUVxSgQicYkFvjBnALOiPYk2pl5OGZ5CRFB/uphhjTI9Z0HfB52/ho1KvzT9vjBnwLOi7sHlvDXVNfopsIjNjzABnQd8FT0kFYBOZGWMGPgv6LhSXehmZmcTIrORwN8UYY3olqKAXkbkiskVEtonIPZ1sHy0i74rIOhF5X0QKArZdJyKfuY/rQtn4vqKqeEoqbNoDY0xU6DboRSQWeAq4AJgIXCUiEztUexTnBuBTgYeAh919c4AHgdOAmcCDIhLxg95l3kPsq27kVBufN8ZEgWB69DOBbaq6XVWbgFeAizvUmQi85y6vDNj+VWCFqlaoqhdYAcztfbP7lqfUGZ+3Hr0xJhoEE/T5wM6A9TK3LNAnwGXu8qVAuogMCXJfRGSBiHhExFNeXh5s2/tMcYmX9MQ4ThiWHu6mGGNMr4XqZOxdwCwR+RiYBewC/MHurKqLVLVIVYvy8vJC1KSeW1Pi5ZTR2cTG2I1GjDEDXzBBvwsYFbBe4Ja1UdXdqnqZqk4HfuCWVQazb6Spqm9my74aG583xkSNYIK+GBgvImNFJAG4EngzsIKI5IpI67HuBRa7y8uB80Uk2z0Je75bFrHW7HDG52eMtvF5Y0x06DboVdUH3IIT0JuA36vqBhF5SES+4VabDWwRka3AMOAn7r4VwI9w/lgUAw+5ZRHLU+IlLkY4eVRWuJtijDEhERdMJVV9G3i7Q9kDActLgaVd7LuYwz38iOcp8TI5P5PkhNhwN8UYY0LCvhkboNHnZ21ZpU1kZoyJKhb0AdbvqqbJ12LXzxtjoooFfYDWicxsxkpjTDSxoA9QXOJlbG4quWmJ4W6KMcaEjAW9S1VZU1ph4/PGmKhjQe/6vLwOb32zzT9vjIk6FvSu1vH5GTY+b4yJMhb0ruISLzmpCYzLTQ13U4wxJqQs6F2t4/MiNpGZMSa6WNAD+2saKDlYb5dVGmOikgU9zrTEYDcaMcZEJwt6wFPqJTEuhskjM8PdFGOMCTkLepwrbqaNyiIhzt4OY0z0GfTJVt/kY/3uarvRiDEmag36oF+7sxJ/i9r4vDEmag36oPeUeBGBUwqtR2+MiU5BBb2IzBWRLSKyTUTu6WR7oYisFJGPRWSdiHzNLY8XkRdE5FMR2SQi94b6BfRWcUkFJw5LJzM5PtxNMcaYPtFt0ItILPAUcAEwEbhKRCZ2qHY/zi0Gp+PcU/Zpt3wekKiqU4AZwL+KyJjQNL33/C3Kxzsq7fp5Y0xUC6ZHPxPYpqrbVbUJeAW4uEMdBTLc5Uxgd0B5qojEAclAE1Dd61aHyOa91dQ2+iiyG4EbY6JYMEGfD+wMWC9zywItBK4RkTKce8ve6pYvBeqAPcAO4NHObg4uIgtExCMinvLy8mN7Bb3gafuilPXojTHRK1QnY68ClqhqAfA14DciEoPzacAPjATGAt8TkXEdd1bVRapapKpFeXl5IWpS9zylXkZkJpGfldxvz2mMMf0tmKDfBYwKWC9wywLdCPweQFVXA0lALvBNYJmqNqvqfuAfQFFvGx0KqkrxFxUUjcmxicyMMVEtmKAvBsaLyFgRScA52fpmhzo7gHMBRMadtfIAABKaSURBVGQCTtCXu+Vz3PJU4HRgc2ia3ju7Kg+xt7rB7ihljIl63Qa9qvqAW4DlwCacq2s2iMhDIvINt9r3gJtF5BPgv4DrVVVxrtZJE5ENOH8wnlfVdX3xQo7VmlIbnzfGDA5xwVRS1bdxTrIGlj0QsLwROKuT/WpxLrGMOMUlFaQlxnHS8IzuKxtjzAA2aL8Z6ynxMr0wi9gYG583xkS3QRn0VYea2bKvxm4EbowZFAZl0H+0w4uqjc8bYwaHQRn0npIKYmOEk0dlhbspxhjT5wZp0HuZPDKDlISgzkUbY8yANuiCvsnXwtqdlTb/vDFm0Bh0Qb9+dxWNvhb7opQxZtAYdEHvKXHmVJthJ2KNMYPEIAx6L2OGpDA0PSncTTHGmH4xqIJeVfGUeplh888bYwaRQRX02w/UUVHXxKk2bGOMGUQGVdCvabvRiPXojTGDx6AK+uKSCrJT4jkuLzXcTTHGmH4zqIK+dXzebjRijBlMBk3QH6ht5IsDdTY+b4wZdAZN0NuNwI0xg1VQQS8ic0Vki4hsE5F7OtleKCIrReRjEVknIl8L2DZVRFaLyAYR+VREwnIBu6ekgoS4GCbnZ4bj6Y0xJmy6ndVLRGJxbgl4HlAGFIvIm+5dpVrdj3OLwV+LyEScu1GNEZE44CXgWlX9RESGAM0hfxVB8JR6Obkgi8S42HA8vTHGhE0wPfqZwDZV3a6qTcArwMUd6ijQek++TGC3u3w+sE5VPwFQ1YOq6u99s4/NoSY/63dV2bQHxphBKZigzwd2BqyXuWWBFgLXiEgZTm/+Vrf8BEBFZLmIfCQi3+9le3tk7c5KfC1qJ2KNMYNSqCZkvwpYoqqPicgZwG9EZLJ7/C8BpwL1wLsiskZV3w3cWUQWAAsACgsLQ9Skw9aUuhOZFdoXpYw5Vs3NzZSVldHQ0BDuphggKSmJgoIC4uPjg94nmKDfBYwKWC9wywLdCMwFUNXV7gnXXJze/ypVPQAgIm8DpwDtgl5VFwGLAIqKijTo1gepuMTLCcPSyEwJ/o0xxjjKyspIT09nzJgx9h2UMFNVDh48SFlZGWPHjg16v2CGboqB8SIyVkQSgCuBNzvU2QGcCyAiE4AkoBxYDkwRkRT3xOwsYCP9yN+ifFTqtWkPjOmhhoYGhgwZYiEfAUSEIUOGHPOnq2579KrqE5FbcEI7FlisqhtE5CHAo6pvAt8DnhWRO3BOzF6vqgp4ReQXOH8sFHhbVf90TC3spa37aqhp9Nn4vDG9YCEfOXrybxHUGL2qvo1zkjWw7IGA5Y3AWV3s+xLOJZZh0XqjkSKbmtgYM0hF/Tdji0u8DMtIpCA7OdxNMcaYsIj6oF/jjs/bR09jTHd8Pl+4m9AnQnV5ZUTaVXmIXZWHuPns4M9OG2O69n/+uIGNu6tDesyJIzN48KJJ3da75JJL2LlzJw0NDdx2220sWLCAZcuWcd999+H3+8nNzeXdd9+ltraWW2+9FY/Hg4jw4IMPcvnll5OWlkZtbS0AS5cu5a233mLJkiVcf/31JCUl8fHHH3PWWWdx5ZVXctttt9HQ0EBycjLPP/88J554In6/n7vvvptly5YRExPDzTffzKRJk3jiiSd44403AFixYgVPP/00r7/+ekjfo96K6qBvG5+3K26MGfAWL15MTk4Ohw4d4tRTT+Xiiy/m5ptvZtWqVYwdO5aKCuf3/Uc/+hGZmZl8+umnAHi93m6PXVZWxgcffEBsbCzV1dX87W9/Iy4ujnfeeYf77ruPV199lUWLFlFSUsLatWuJi4ujoqKC7OxsvvOd71BeXk5eXh7PP/88//Iv/9Kn70NPRHXQryn1kpoQy0nD08PdFGOiQjA9777yxBNPtPWUd+7cyaJFizjnnHParifPyXE6dO+88w6vvPJK237Z2d1fcTdv3jxiY515sKqqqrjuuuv47LPPEBGam5vbjvvtb3+buLi4ds937bXX8tJLL3HDDTewevVqXnzxxRC94tCJ6qAvLvFyyuhs4mKj/lSEMVHt/fff55133mH16tWkpKQwe/ZsTj75ZDZv3hz0MQLP03W8Dj019fBd5374wx/y5S9/mddff52SkhJmz5591OPecMMNXHTRRSQlJTFv3ry2PwSRJGoTsLqhmc17q5kx2q6fN2agq6qqIjs7m5SUFDZv3syHH35IQ0MDq1at4osvvgBoG7o577zzeOqpp9r2bR26GTZsGJs2baKlpeWoY+hVVVXk5zvTeS1ZsqSt/LzzzuOZZ55pO2Hb+nwjR45k5MiR/PjHP+aGG24I3YsOoagN+o9KvajCqTY+b8yAN3fuXHw+HxMmTOCee+7h9NNPJy8vj0WLFnHZZZcxbdo05s+fD8D999+P1+tl8uTJTJs2jZUrVwLwyCOPcOGFF3LmmWcyYsSILp/r+9//Pvfeey/Tp09vdxXOTTfdRGFhIVOnTmXatGn89re/bdt29dVXM2rUKCZMmNBH70DviPMF1shRVFSkHo+n18d57C9bePr9z1n34PmkJkbeRyljBopNmzZFbIBFiltuuYXp06dz44039svzdfZv4k4YWdRZ/ahNwOKSCiaOyLCQN8b0qRkzZpCamspjjz0W7qZ0KSpTsNnfwtqdlVw1M/RTHhtjTKA1a9aEuwndisox+g27q2lobrHxeWOMIUqD/vBEZnbFjTHGRGXQF5dUUJiTwtCMpHA3xRhjwi7qgl5V3YnMrDdvjDEQhUFfcrCeA7VNNv+8Mca4oi7oi93xebujlDGDV1paWribEFGCurxSROYCj+PcSvA5VX2kw/ZC4AUgy61zj3tXqsDtG4GFqvpoiNreqTUlXrJS4jkuz/6hjQm5P98Dez8N7TGHT4ELHum+3gDk8/kiYu6bbnv0IhILPAVcAEwErhKRiR2q3Q/8XlWn49w8/OkO238B/Ln3ze1ecWkFMwqziYmxG40YEy3uueeedvPXLFy4kB//+Mece+65nHLKKUyZMoX//u//DupYtbW1Xe734osvtk1xcO211wKwb98+Lr30UqZNm8a0adP44IMPKCkpYfLkyW37PfrooyxcuBCA2bNnc/vtt1NUVMTjjz/OH//4R0477TSmT5/OV77yFfbt29fWjhtuuIEpU6YwdepUXn31VRYvXsztt9/edtxnn32WO+64o8fvWxtVPeoDOANYHrB+L3BvhzrPAHcH1P8gYNslwM+BhcBd3T3fjBkztKcO1DTo6Lvf0qdXbuvxMYwx7W3cuDHcTdCPPvpIzznnnLb1CRMm6I4dO7SqqkpVVcvLy/W4447TlpYWVVVNTU3t8ljNzc2d7rd+/XodP368lpeXq6rqwYMHVVX1iiuu0F/+8peqqurz+bSyslK/+OILnTRpUtsxf/7zn+uDDz6oqqqzZs3Sf/u3f2vbVlFR0dauZ599Vu+8805VVf3+97+vt912W7t6NTU1Om7cOG1qalJV1TPOOEPXrVt3xGvo7N8E8GgXuRrMZ4p8YGfAehlwWoc6C4G/iMitQCrwFQARSQPuBs4D7urqCURkAbAAoLCw599mXVPqzFJn4/PGRJfp06ezf/9+du/eTXl5OdnZ2QwfPpw77riDVatWERMTw65du9i3bx/Dhw8/6rFUlfvuu++I/d577z3mzZtHbm4ucHi++ffee69tjvnY2FgyMzO7vZlJ6wRr4NzUZP78+ezZs4empqa2+fO7mjd/zpw5vPXWW0yYMIHm5mamTJlyjO/WkUJ1MvYqYImqFgBfA34jIjE4fwB+qaq1R9tZVRepapGqFuXl5fW4EZ5SLwmxMUzOz+zxMYwxkWnevHksXbqU3/3ud8yfP5+XX36Z8vJy1qxZw9q1axk2bNgR88x3pqf7BYqLi6OlpaVt/Wjz2996663ccsstfPrppzzzzDPdPtdNN93EkiVLeP7550M27XEwQb8LGBWwXuCWBboR+D2Aqq4GkoBcnJ7/z0SkBLgduE9Ebullm7tUXFLB1IJMkuJj++opjDFhMn/+fF555RWWLl3KvHnzqKqqYujQocTHx7Ny5UpKS0uDOk5X+82ZM4c//OEPHDx4EDg83/y5557Lr3/9awD8fj9VVVUMGzaM/fv3c/DgQRobG3nrrbeO+nyt89u/8MILbeVdzZt/2mmnsXPnTn77299y1VVXBfv2HFUwQV8MjBeRsSKSgHOy9c0OdXYA5wKIyAScoC9X1bNVdYyqjgF+BfxfVX0yJC3voKHZz/pdVXZ/WGOi1KRJk6ipqSE/P58RI0Zw9dVX4/F4mDJlCi+++CInnXRSUMfpar9Jkybxgx/8gFmzZjFt2jTuvPNOAB5//HFWrlzJlClTmDFjBhs3biQ+Pp4HHniAmTNnct555x31uRcuXMi8efOYMWNG27AQdD1vPsAVV1zBWWedFdRtEIMR1Hz0IvI1nKCOBRar6k9E5CGcwf833atwngXSAAW+r6p/6XCMhUCtdnN5ZU/no99f08BP/rSJ+UWjOPP43O53MMYExeaj738XXnghd9xxB+eee26n2/tkPnp1rol/u0PZAwHLG4GzujnGwmCeq6eGpifx+JXT+/IpjDGmT1VWVjJz5kymTZvWZcj3RPiv5DfGmD7w6aeftl0L3yoxMZF//vOfYWpR97Kysti6dWvIj2tBb4zplqoiMrC+hDhlyhTWrl0b7maEXDDD7R1F3Vw3xpjQSkpK4uDBgz0KGBNaqsrBgwdJSjq2KditR2+MOaqCggLKysooLy8Pd1MMzh/egoKCY9rHgt4Yc1Tx8fFt3+Y0A5MN3RhjTJSzoDfGmChnQW+MMVEuqG/G9icRKQeCm7Sic7nAgRA1Z6Cz96I9ez/as/fjsGh4L0araqezQkZc0PeWiHi6+hrwYGPvRXv2frRn78dh0f5e2NCNMcZEOQt6Y4yJctEY9IvC3YAIYu9Fe/Z+tGfvx2FR/V5E3Ri9McaY9qKxR2+MMSaABb0xxkS5qAl6EZkrIltEZJuI3BPu9oSTiIwSkZUislFENojIbeFuU7iJSKyIfCwiXd/cc5AQkSwRWSoim0Vkk4icEe42hZOI3OH+nqwXkf8SkWObGnIAiIqgF5FY4CngAmAicJV7e8PBygd8T1UnAqcD3x3k7wfAbcCmcDciQjwOLFPVk4BpDOL3RUTygf8NFKnqZJzbpV4Z3laFXlQEPTAT2Kaq21W1CXgFuDjMbQobVd2jqh+5yzU4v8j54W1V+IhIAfB14LlwtyXcRCQTOAf4TwBVbVLVyvC2KuzigGQRiQNSgN1hbk/IRUvQ5wM7A9bLGMTBFkhExgDTgci9f1rf+xXwfaAl3A2JAGOBcuB5dyjrORFJDXejwkVVdwGPAjuAPUCVqv4lvK0KvWgJetMJEUkDXgVuV9XqcLcnHETkQmC/qq4Jd1siRBxwCvBrVZ0O1AGD9pyWiGTjfPofC4wEUkXkmvC2KvSiJeh3AaMC1gvcskFLROJxQv5lVX0t3O0Jo7OAb4hICc6Q3hwReSm8TQqrMqBMVVs/4S3FCf7B6ivAF6parqrNwGvAmWFuU8hFS9AXA+NFZKyIJOCcTHkzzG0KG3Hu4vyfwCZV/UW42xNOqnqvqhao6hic/xfvqWrU9diCpap7gZ0icqJbdC6wMYxNCrcdwOkikuL+3pxLFJ6cjopbCaqqT0RuAZbjnDVfrKobwtyscDoLuBb4VETWumX3qerbYWyTiRy3Ai+7naLtwA1hbk/YqOo/RWQp8BHO1WofE4XTIdgUCMYYE+WiZejGGGNMFyzojTEmylnQG2NMlLOgN8aYKGdBb4wxUc6C3pgQEpHZNkOmiTQW9MYYE+Us6M2gJCLXiMj/iMhaEXnGna++VkR+6c5N/q6I5Ll1TxaRD0VknYi87s6PgogcLyLviMgnIvKRiBznHj4tYL73l91vXBoTNhb0ZtARkQnAfOAsVT0Z8ANXA6mAR1UnAX8FHnR3eRG4W1WnAp8GlL8MPKWq03DmR9njlk8Hbse5N8I4nG8qGxM2UTEFgjHH6FxgBlDsdraTgf040xj/zq3zEvCaO397lqr+1S1/AfiDiKQD+ar6OoCqNgC4x/sfVS1z19cCY4C/9/3LMqZzFvRmMBLgBVW9t12hyA871Ovp/CCNAct+7PfMhJkN3ZjB6F3gf4nIUAARyRGR0Ti/D//LrfNN4O+qWgV4ReRst/xa4K/unbvKROQS9xiJIpLSr6/CmCBZT8MMOqq6UUTuB/4iIjFAM/BdnJtwzHS37ccZxwe4Dvh/bpAHzvZ4LfCMiDzkHmNeP74MY4Jms1ca4xKRWlVNC3c7jAk1G7oxxpgoZz16Y4yJctajN8aYKGdBb4wxUc6C3hhjopwFvTHGRDkLemOMiXL/HwLp+qjlfQyOAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.plot(history.history['accuracy'])\n",
        "plt.plot(history.history['val_accuracy'])\n",
        "plt.legend(['accuracy', 'val_accuracy'])\n",
        "plt.title('Accuracy')\n",
        "plt.xlabel('epoch')\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fWxQhvPZAN48"
      },
      "source": [
        "# Printing test score and accuracy"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6pAggssAW3do",
        "outputId": "f6e517b0-d6a3-4b16-e741-2a2dfd2a17b1"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'list'>\n",
            "Test Score: 0.08994011580944061\n",
            "Test Accuracy: 0.9765999913215637\n"
          ]
        }
      ],
      "source": [
        "score = model.evaluate(X_test, y_test, verbose=0)\n",
        "print(type(score))\n",
        "print('Test Score:', score[0])\n",
        "print('Test Accuracy:', score[1])\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TRJEaLYI_8pY"
      },
      "source": [
        "# Now we will get our image from a url and show it."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "EdLcElvOW3dp",
        "outputId": "98aa6405-5bad-473e-d605-658d9e8317a1"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7fd029b73790>"
            ]
          },
          "metadata": {},
          "execution_count": 132
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "import requests\n",
        "from PIL import Image\n",
        "\n",
        "# 0\n",
        "#url = 'https://i.pinimg.com/originals/3e/d0/8e/3ed08e00953b3bac40630f03d53c5558.jpg'\n",
        "# 1\n",
        "#url = 'https://weeknumber.in/gfx/200x200/1.png'\n",
        "# 2\n",
        "#url = 'https://www.researchgate.net/profile/Jose_Sempere/publication/221258631/figure/fig1/AS:305526891139075@1449854695342/Handwritten-digit-2.png'\n",
        "# 3\n",
        "#url = 'https://www.neuralnine.com/wp-content/uploads/2019/09/3.png'\n",
        "# 4\n",
        "url = 'https://miro.medium.com/max/282/1*xpszL7jJrV5UTV7Xa-fgWQ.png'\n",
        "# 5\n",
        "#url = 'https://ak.picdn.net/shutterstock/videos/23708539/thumb/1.jpg'\n",
        "# 6\n",
        "#url = 'https://ak.picdn.net/shutterstock/videos/23708536/thumb/1.jpg'\n",
        "# 7\n",
        "#url = 'https://weeknumber.in/gfx/200x200/7.png'\n",
        "#8\n",
        "#url = 'https://miro.medium.com/max/540/1*xq-pY9H9rzGjiQ7MTrMBoA.png'\n",
        "# 9\n",
        "#url = 'https://weeknumber.net/gfx/200x200/9.png'\n",
        "\n",
        "response = requests.get(url, stream=True)\n",
        "img = Image.open(response.raw)\n",
        "plt.imshow(img)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lbX7gyO7BdFN"
      },
      "source": [
        "# Now we will resize this image and greyscale it. Then we will transform this image to our specific input format(1*784).\n",
        "# We can see our image with greyscale format."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "GzKwSOLeW3dp",
        "outputId": "5a251e2e-e672-484e-a223-23403414c148"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7fd038dd2410>"
            ]
          },
          "metadata": {},
          "execution_count": 133
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "import cv2\n",
        "\n",
        "img_array = np.asarray(img)\n",
        "resized = cv2.resize(img_array, (28, 28))\n",
        "gray_scale = cv2.cvtColor(resized, cv2.COLOR_BGR2GRAY)  # (28, 28)\n",
        "image = cv2.bitwise_not(gray_scale)\n",
        "\n",
        "plt.imshow(image, cmap=plt.get_cmap('gray'))\n",
        "#print(image)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "12E96tvZByWX"
      },
      "source": [
        "# Now we will resize it and feed the input."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "pwb3zCldW3dq"
      },
      "outputs": [],
      "source": [
        "image = image / 255\n",
        "image = image.reshape(1, 784)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# And then finally we make the prediction."
      ],
      "metadata": {
        "id": "5VEQnPB3zMyT"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eVXkUx-RW3dq",
        "outputId": "de4b983f-435c-40cc-b449-ae9c7ed7d3f4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "prediction probability: [[8.5681631e-09 3.5574814e-07 1.3087629e-09 2.5339205e-11 9.9998283e-01\n",
            "  5.9298649e-10 1.0317767e-08 5.1942726e-07 1.5680327e-07 1.6215114e-05]]\n",
            "predicted digit: [4]\n"
          ]
        }
      ],
      "source": [
        "prediction = model.predict(image)\n",
        "print(\"prediction probability:\", str(prediction))\n",
        "prediction = np.argmax(prediction, axis=1)\n",
        "print(\"predicted digit:\", str(prediction))\n"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": [],
      "include_colab_link": true
    },
    "interpreter": {
      "hash": "d2e71816994a6e0997d19a704002060794583138f71ab581b4ff51fd4ea91539"
    },
    "kernelspec": {
      "display_name": "Python 3.10.2 64-bit",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.10.2"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}