{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.10.14","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"},"kaggle":{"accelerator":"gpu","dataSources":[{"sourceType":"competition","sourceId":3004,"databundleVersionId":861823}],"dockerImageVersionId":30787,"isInternetEnabled":true,"language":"python","sourceType":"notebook","isGpuEnabled":true}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"<a class=\"anchor\" id=\"0\"></a>\n# Multi-class classification using ANNs and Vanilla (simple) DL Models\n# Digit recognition (Pattern Recognition) using the MNIST Dataset- with Keras\n![image.png](attachment:44ab7f55-b208-4942-8edb-1f5cdf9b41f1.png)\n\n# ","metadata":{},"attachments":{"44ab7f55-b208-4942-8edb-1f5cdf9b41f1.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"# Objective of the notebook <a class=\"anchor\" id=\"1\"></a>\n\n\n\n- In this notebook, we will design a **Multilayer Perceptron (MLP)** model of the MNIST dataset. \n\n- **Multilayer Perceptrons (MLPs)** usually mean fully connected networks, that is, each neuron in one layer is connected to all neurons in the next layer. The \"fully-connectedness\" of these networks makes them prone to overfitting the data. \n\n- These MLP models are also referred to as **feedforward neural networks**. MLPs are common in simple logistic and linear regression problems.\n\n- So, the objective is to create a neural network for identifying numbers based on handwritten digits. For example, when the input to the network is an image of a handwritten number 8, the corresponding prediction must also be the digit 8. \n\n- To both train and validate a neural network, there must be a sufficiently large dataset of handwritten digits.\n\n- The Modified National Institute of Standards and Technology dataset or MNIST dataset for short, is often considered as the Hello World! of deep learning and is a suitable dataset for handwritten digit classification.\n\n- MNIST is used to explain and validate deep learning theories because the 70,000 samples it contains are small, yet sufficiently rich in information (MNIST dataset is described later).","metadata":{}},{"cell_type":"markdown","source":"So, we will start by importing the necessary libraries:","metadata":{}},{"cell_type":"markdown","source":"# I - Designing an ANN model using Sci-learn ML Library <a class=\"anchor\" id=\"5\"></a>","metadata":{}},{"cell_type":"markdown","source":"# 1. Import necessary libraries <a class=\"anchor\" id=\"2\"></a>\n\n","metadata":{}},{"cell_type":"code","source":"# This Python 3 environment comes with many helpful analytics libraries installed\n# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n# For example, here's several helpful packages to load in \n\n# conda install  TensorFlow\n# The Official Keras Deep Neural Network Example for CNN \n###############################\n# Setting Seed Random Number for Reproducibility\nimport numpy as np # linear algebra\nnp.random.seed(123)  # for reproducibility\n\n# Setting Seed Random Number for the TensorFlow Backend\nimport tensorflow as tf\ntf.random.set_seed(123) # for reproducibility\n\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nimport matplotlib.pyplot as plt # plotting library\n#%matplotlib inline\n\nfrom tensorflow import keras\nfrom keras import  backend as K","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:35.775117Z","iopub.execute_input":"2024-12-05T19:41:35.775981Z","iopub.status.idle":"2024-12-05T19:41:35.782897Z","shell.execute_reply.started":"2024-12-05T19:41:35.77593Z","shell.execute_reply":"2024-12-05T19:41:35.781908Z"}},"outputs":[],"execution_count":129},{"cell_type":"markdown","source":"# 2. Loading MNIST dataset <a class=\"anchor\" id=\"3\"></a>\n\n\n\nThe **MNIST** dataset (**Modified National Institute of Standards and Technology database**) is a large collection of **handwritten digits** that is widely used for training and testing in the field of machine learning and image processing. Here are some key points about it:\n\n- MNIST is a collection of handwritten digits ranging from the number 0 to 9. \n\n- It consists of 60,000 training images and 10,000 test images of handwritten digits, each image being 28x28 pixels in grayscale.\n\n- The dataset is commonly used to **benchmark machine learning algorithms**, particularly in the areas of image recognition and classification.\n\n- To use the MNIST dataset in Keras, an API is provided to download and extract images and labels automatically.\n\n- Variants: There are extended versions like EMNIST, which includes handwritten letters, and Fashion MNIST, which contains images of fashion products.\n","metadata":{}},{"cell_type":"markdown","source":"The following Keras code shows how to load MNIST dataset, plot 25 random samples, and count the number of labels for train and test datasets.","metadata":{}},{"cell_type":"code","source":"# import dataset\nfrom keras.datasets import mnist\n\n# load dataset\n(x_train, y_train),(x_test, y_test) = mnist.load_data() # ouput numpy arrays\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:35.784506Z","iopub.execute_input":"2024-12-05T19:41:35.784817Z","iopub.status.idle":"2024-12-05T19:41:36.064506Z","shell.execute_reply.started":"2024-12-05T19:41:35.784783Z","shell.execute_reply":"2024-12-05T19:41:36.063545Z"}},"outputs":[],"execution_count":130},{"cell_type":"markdown","source":"# 3. Data exploration and visualization <a class=\"anchor\" id=\"4\"></a>\n\n\n\n\n- The following code will help to sample the 25 random MNIST digits and visualize them.","metadata":{}},{"cell_type":"code","source":"print(type(x_train))\nprint(\"x_train shape:\", x_train.shape )\nprint(\"x_test shape:\",x_test.shape )\nprint(\"y_train shape:\",y_train.shape )\nprint(\"y_test shape:\",y_test.shape )","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.06627Z","iopub.execute_input":"2024-12-05T19:41:36.066638Z","iopub.status.idle":"2024-12-05T19:41:36.072685Z","shell.execute_reply.started":"2024-12-05T19:41:36.066608Z","shell.execute_reply":"2024-12-05T19:41:36.071452Z"}},"outputs":[{"name":"stdout","text":"<class 'numpy.ndarray'>\nx_train shape: (60000, 28, 28)\nx_test shape: (10000, 28, 28)\ny_train shape: (60000,)\ny_test shape: (10000,)\n","output_type":"stream"}],"execution_count":131},{"cell_type":"code","source":"print(\"labels: \",np.unique(y_train)) # multi-classification\n\n# count the number of unique train labels\ncategory_name, counts = np.unique(y_train, return_counts=True)\nprint(\"Train labels: \", dict(zip(category_name, counts)))\n\n# count the number of unique test labels\ncategory_name, counts = np.unique(y_test, return_counts=True)\nprint(\"\\nTest labels: \", dict(zip(category_name, counts)))\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.073926Z","iopub.execute_input":"2024-12-05T19:41:36.074359Z","iopub.status.idle":"2024-12-05T19:41:36.090608Z","shell.execute_reply.started":"2024-12-05T19:41:36.074309Z","shell.execute_reply":"2024-12-05T19:41:36.089717Z"}},"outputs":[{"name":"stdout","text":"labels:  [0 1 2 3 4 5 6 7 8 9]\nTrain labels:  {0: 5923, 1: 6742, 2: 5958, 3: 6131, 4: 5842, 5: 5421, 6: 5918, 7: 6265, 8: 5851, 9: 5949}\n\nTest labels:  {0: 980, 1: 1135, 2: 1032, 3: 1010, 4: 982, 5: 892, 6: 958, 7: 1028, 8: 974, 9: 1009}\n","output_type":"stream"}],"execution_count":132},{"cell_type":"code","source":"# sample 9 mnist digits from train dataset\nindexes = np.random.randint(0, x_train.shape[0], size=9)\nimages = x_train[indexes]\nlabels = y_train[indexes]\n\n# plot the 9 mnist digits\nplt.figure(figsize=(3,3))\nfor i in range(len(indexes)):\n    plt.subplot(3, 3, i + 1)\n    image = images[i]\n    plt.imshow(image, cmap='gray')\n    plt.axis('off')\n    \nplt.show()\nplt.savefig(\"mnist-samples.png\")\nplt.close('all')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.092736Z","iopub.execute_input":"2024-12-05T19:41:36.093498Z","iopub.status.idle":"2024-12-05T19:41:36.370112Z","shell.execute_reply.started":"2024-12-05T19:41:36.093459Z","shell.execute_reply":"2024-12-05T19:41:36.368778Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 300x300 with 9 Axes>","image/png":"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"},"metadata":{}}],"execution_count":133},{"cell_type":"markdown","source":"# 4 Data Preprocessing <a class=\"anchor\" id=\"4\"></a>\n\n- **One-Hot Encode the Labels**: Convert the class labels (0-9) into one-hot encoded vectors. This is necessary for the output layer of the ANN.\n- **Reshape the Data**: Since ANNs expect 1D input, you need to flatten the 28x28 images into 1D vectors of size 784.\n- **Normalize the Data**: Scale the pixel values to the range [0, 1] by dividing by 255. This helps the network train faster and more effectively.","metadata":{}},{"cell_type":"markdown","source":"### 4.1 One-Hot Encode the Labels <a class=\"anchor\" id=\"5.2\"></a>\n\nThe number of labels is computed as:","metadata":{}},{"cell_type":"code","source":"np.unique(y_train)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.373308Z","iopub.execute_input":"2024-12-05T19:41:36.373808Z","iopub.status.idle":"2024-12-05T19:41:36.383951Z","shell.execute_reply.started":"2024-12-05T19:41:36.373752Z","shell.execute_reply":"2024-12-05T19:41:36.382879Z"}},"outputs":[{"execution_count":134,"output_type":"execute_result","data":{"text/plain":"array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8)"},"metadata":{}}],"execution_count":134},{"cell_type":"code","source":"# compute the number of labels\nnum_labels = len(np.unique(y_train))\nprint(num_labels)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.385166Z","iopub.execute_input":"2024-12-05T19:41:36.385966Z","iopub.status.idle":"2024-12-05T19:41:36.397585Z","shell.execute_reply.started":"2024-12-05T19:41:36.385908Z","shell.execute_reply":"2024-12-05T19:41:36.396253Z"}},"outputs":[{"name":"stdout","text":"10\n","output_type":"stream"}],"execution_count":135},{"cell_type":"markdown","source":"Keras requires your output variable to be one-hot encoded values in the case of multy-classification.\n\n![image.png](attachment:8f1a6439-f36a-419e-8c1a-ac525d71a403.png)\n\n**One-hot encoding** is necessary if you use **categorical_crossentropy loss** when training the model. However if you use **sparse_categorical_crossentropy** then you can skip this step.\n\n**The following lines convert each label into a one-hot vector**:","metadata":{},"attachments":{"8f1a6439-f36a-419e-8c1a-ac525d71a403.png":{"image/png":"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"}}},{"cell_type":"code","source":"from tensorflow.keras.utils import to_categorical, plot_model\n# convert to one-hot vector\nY_train = to_categorical(y_train)\nY_test = to_categorical(y_test)\n\nprint (\"A sample output before encoding: \",y_train[0])\nprint (\"A sample output after encoding: \",Y_train[0])","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.3997Z","iopub.execute_input":"2024-12-05T19:41:36.400572Z","iopub.status.idle":"2024-12-05T19:41:36.414626Z","shell.execute_reply.started":"2024-12-05T19:41:36.400514Z","shell.execute_reply":"2024-12-05T19:41:36.413401Z"}},"outputs":[{"name":"stdout","text":"A sample output before encoding:  5\nA sample output after encoding:  [0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n","output_type":"stream"}],"execution_count":136},{"cell_type":"markdown","source":"### 4.2 Reshape the Data\nEach image is **28 pixels in height** and **28 pixels in width**, for a total of 784 pixels in total. Each pixel has a single pixel-value associated with it, indicating the lightness or darkness of that pixel, with higher numbers meaning darker. This pixel-value is an integer between 0 and 255, inclusive.\n\nThe training data set, (train.csv), has 785 columns. The first column, called \"label\", is the digit that was drawn by the user. The rest of the columns contain the pixel-values of the associated image.\n\n![image.png](attachment:5f951dc9-409c-4fda-a2fc-25241876f700.png)\n","metadata":{},"attachments":{"5f951dc9-409c-4fda-a2fc-25241876f700.png":{"image/png":"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"}}},{"cell_type":"code","source":"# image dimensions\nimage_height = x_train.shape[1]\ninput_width = x_train.shape[2]\ninput_size = image_height * input_width\nprint(input_size)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.416486Z","iopub.execute_input":"2024-12-05T19:41:36.41697Z","iopub.status.idle":"2024-12-05T19:41:36.423456Z","shell.execute_reply.started":"2024-12-05T19:41:36.416919Z","shell.execute_reply":"2024-12-05T19:41:36.422626Z"}},"outputs":[{"name":"stdout","text":"784\n","output_type":"stream"}],"execution_count":137},{"cell_type":"code","source":"# Resize the images\nX_train = np.reshape(x_train, [-1, input_size])\nX_test = np.reshape(x_test, [-1, input_size])\n\nprint(\"x_train shape before the re-shaping:\", x_train.shape )\nprint(\"x_train shape after flattening:\", X_train.shape )","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.424484Z","iopub.execute_input":"2024-12-05T19:41:36.42475Z","iopub.status.idle":"2024-12-05T19:41:36.432123Z","shell.execute_reply.started":"2024-12-05T19:41:36.424725Z","shell.execute_reply":"2024-12-05T19:41:36.431242Z"}},"outputs":[{"name":"stdout","text":"x_train shape before the re-shaping: (60000, 28, 28)\nx_train shape after flattening: (60000, 784)\n","output_type":"stream"}],"execution_count":138},{"cell_type":"markdown","source":"### 4.3 Normalize the Data","metadata":{}},{"cell_type":"code","source":"# Preprocess input data\nprint(\"Range of X_train data before re-scaling: [ \", max(X_train[0].round(2)), ',', min(X_train[0]), ' ]' )\n# Scale image data to the [0, 1] range\nX_train_ = X_train.astype('float32') / 255\nX_test_ = X_test.astype('float32') / 255\n\nprint(\"Range of X_train data after re-scaling: [ \", max(X_train_[0].round(2)), ',', min(X_train[0]), ' ]' )","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.436188Z","iopub.execute_input":"2024-12-05T19:41:36.436703Z","iopub.status.idle":"2024-12-05T19:41:36.522647Z","shell.execute_reply.started":"2024-12-05T19:41:36.436677Z","shell.execute_reply":"2024-12-05T19:41:36.52168Z"}},"outputs":[{"name":"stdout","text":"Range of X_train data before re-scaling: [  255 , 0  ]\nRange of X_train data after re-scaling: [  1.0 , 0  ]\n","output_type":"stream"}],"execution_count":139},{"cell_type":"markdown","source":"# 5. Designing ANN model architecture using Sci-learn ML Library <a class=\"anchor\" id=\"5\"></a>\n\n\n- The MLP model, discussed above can be used for MNIST digits classification. \n\n- The MLP model is a fully connected network.","metadata":{}},{"cell_type":"markdown","source":"### 5.1 Design ANN model <a class=\"anchor\" id=\"5.5\"></a>\n\n- Now, we will set the network parameters as follows:","metadata":{}},{"cell_type":"code","source":"from sklearn.neural_network import MLPClassifier\n# ('identity', 'logistic', 'tanh', 'relu')\n\n# ('identity', 'logistic', 'tanh', 'relu')\n# Design an ANN model\nANN = MLPClassifier(hidden_layer_sizes=(350,), \n                    solver='adam', \n                    activation='relu',\n                    max_iter=50,\n                    random_state=1, \n                    alpha=1e-04) # alpha=1e-04 \nANN\n# ANN = MLPClassifier(hidden_layer_sizes=350, solver='adam', activation=\"relu\", random_state=1, alpha=1e-04,  max_iter=1000, early_stopping=True, n_iter_no_change =1000, validation_fraction=0.1 )\n\n# Hidden layer activation functions {‘identity’, ‘logistic’, ‘tanh’, ‘relu’}, default=’relu’\n# Activation function for the all hidden layers is the same\n# solver{‘lbfgs’, ‘sgd’, ‘adam’}, default=’adam’\n# MLPClassifier uses the Average Cross-Entropy loss function. In the current version you can not set this parameter.\n# MLPClassifier uses softmax transfer function as output activation function for Multiclass-Classification. In the current version you can not set this parameter.\n \n                   ","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.523697Z","iopub.execute_input":"2024-12-05T19:41:36.523991Z","iopub.status.idle":"2024-12-05T19:41:36.531913Z","shell.execute_reply.started":"2024-12-05T19:41:36.523946Z","shell.execute_reply":"2024-12-05T19:41:36.530859Z"}},"outputs":[{"execution_count":140,"output_type":"execute_result","data":{"text/plain":"MLPClassifier(hidden_layer_sizes=(350,), max_iter=50, random_state=1)","text/html":"<style>#sk-container-id-9 {color: black;background-color: white;}#sk-container-id-9 pre{padding: 0;}#sk-container-id-9 div.sk-toggleable {background-color: white;}#sk-container-id-9 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-9 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-9 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-9 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-9 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-9 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-9 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-9 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-9 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-9 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-9 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-9 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-9 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-9 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-9 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-9 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-9 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-9 div.sk-item {position: relative;z-index: 1;}#sk-container-id-9 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-9 div.sk-item::before, #sk-container-id-9 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-9 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-9 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-9 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-9 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-9 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-9 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-9 div.sk-label-container {text-align: center;}#sk-container-id-9 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-9 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-9\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>MLPClassifier(hidden_layer_sizes=(350,), max_iter=50, random_state=1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-9\" type=\"checkbox\" checked><label for=\"sk-estimator-id-9\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">MLPClassifier</label><div class=\"sk-toggleable__content\"><pre>MLPClassifier(hidden_layer_sizes=(350,), max_iter=50, random_state=1)</pre></div></div></div></div></div>"},"metadata":{}}],"execution_count":140},{"cell_type":"markdown","source":"### 5.2 Train the ANN model <a class=\"anchor\" id=\"5.5\"></a>","metadata":{}},{"cell_type":"code","source":"# Train the ANN model\n\nANN.fit(X_train_, Y_train)\n\naccuracy = ANN.score(X_test_, Y_test)\n\nprint(f\"Model accuracy: {accuracy * 100:.2f}%\")\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:41:36.533036Z","iopub.execute_input":"2024-12-05T19:41:36.53333Z","iopub.status.idle":"2024-12-05T19:43:47.585194Z","shell.execute_reply.started":"2024-12-05T19:41:36.533299Z","shell.execute_reply":"2024-12-05T19:43:47.584016Z"}},"outputs":[{"name":"stdout","text":"Model accuracy: 96.23%\n","output_type":"stream"}],"execution_count":141},{"cell_type":"code","source":"print(ANN.out_activation_)\nprint(ANN.n_outputs_)\nprint(ANN.n_features_in_)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:47.586748Z","iopub.execute_input":"2024-12-05T19:43:47.590766Z","iopub.status.idle":"2024-12-05T19:43:47.60692Z","shell.execute_reply.started":"2024-12-05T19:43:47.590702Z","shell.execute_reply":"2024-12-05T19:43:47.602723Z"}},"outputs":[{"name":"stdout","text":"logistic\n10\n784\n","output_type":"stream"}],"execution_count":142},{"cell_type":"markdown","source":"### 5.3 Evaluate the ANN model <a class=\"anchor\" id=\"5.5\"></a>","metadata":{}},{"cell_type":"code","source":"# Find out and display the test and training accuracies\n\ntrain_accuracy = ANN.score(X_train_, Y_train)\ntest_accuracy = ANN.score(X_test_, Y_test)\n\nprint(f\"Training accuracy: {train_accuracy * 100:.2f}%\")\nprint(f\"Test accuracy: {test_accuracy * 100:.2f}%\")\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:47.608598Z","iopub.execute_input":"2024-12-05T19:43:47.611281Z","iopub.status.idle":"2024-12-05T19:43:48.303276Z","shell.execute_reply.started":"2024-12-05T19:43:47.611241Z","shell.execute_reply":"2024-12-05T19:43:48.300679Z"}},"outputs":[{"name":"stdout","text":"Training accuracy: 99.54%\nTest accuracy: 96.23%\n","output_type":"stream"}],"execution_count":143},{"cell_type":"code","source":"# Visualize Evaluation Metrics of ML Models\nfrom sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay\n# Make predictions\nY_pred = ANN.predict(X_test_)\nY_pred_categorical = np.argmax(Y_pred, axis=1) # convert softmax output (ANN prediction) into the categorical label\nY_test_categorical = np.argmax(Y_test, axis=1) # convert one-hot encoded label into the categorical label\n\n# Compute the confusion matrix\ncm = confusion_matrix(Y_test_categorical, Y_pred_categorical)\n\n# Plot the confusion matrix\ndisp = ConfusionMatrixDisplay(confusion_matrix=cm)\ndisp.plot(cmap=plt.cm.Blues)\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:48.306623Z","iopub.execute_input":"2024-12-05T19:43:48.308716Z","iopub.status.idle":"2024-12-05T19:43:48.847867Z","shell.execute_reply.started":"2024-12-05T19:43:48.308664Z","shell.execute_reply":"2024-12-05T19:43:48.846918Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 2 Axes>","image/png":"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"},"metadata":{}}],"execution_count":144},{"cell_type":"markdown","source":"### 5.4 Monitoring the training process <a class=\"anchor\" id=\"5.5\"></a>","metadata":{}},{"cell_type":"code","source":"print('Number of the training: {}'.format(ANN.n_iter_)) # Default value for the max_iter parameter is 200","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:48.848944Z","iopub.execute_input":"2024-12-05T19:43:48.849222Z","iopub.status.idle":"2024-12-05T19:43:48.853739Z","shell.execute_reply.started":"2024-12-05T19:43:48.849195Z","shell.execute_reply":"2024-12-05T19:43:48.852962Z"}},"outputs":[{"name":"stdout","text":"Number of the training: 50\n","output_type":"stream"}],"execution_count":145},{"cell_type":"code","source":"print('Number of the training: {}'.format(ANN.n_iter_))\ntrn_loss= ANN.loss_curve_ #errors\n#validation_scores = ANN.validation_scores_ #validation_scores_ is not available if early_stopping=False\n\nimport matplotlib.pyplot as plt\nplt.rcParams['figure.figsize'] = 5, 5\nplt.plot( trn_loss, label='Losses') # errors plot\nplt.legend()\nplt.xlabel('Iterations')\nplt.ylabel('Losses')\nplt.title('Training Losses over Iterations')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:48.854861Z","iopub.execute_input":"2024-12-05T19:43:48.855146Z","iopub.status.idle":"2024-12-05T19:43:49.109174Z","shell.execute_reply.started":"2024-12-05T19:43:48.855108Z","shell.execute_reply":"2024-12-05T19:43:49.108341Z"}},"outputs":[{"name":"stdout","text":"Number of the training: 50\n","output_type":"stream"},{"execution_count":146,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'Training Losses over Iterations')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":146},{"cell_type":"markdown","source":"# II - Designing ANN model using Keras DL Library <a class=\"anchor\" id=\"5\"></a>","metadata":{}},{"cell_type":"code","source":"from tensorflow.keras.models import Sequential\nfrom tensorflow.keras.layers import Dense, Input, Activation, Dropout\nfrom tensorflow.keras.utils import to_categorical, plot_model","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:49.11037Z","iopub.execute_input":"2024-12-05T19:43:49.110965Z","iopub.status.idle":"2024-12-05T19:43:49.115374Z","shell.execute_reply.started":"2024-12-05T19:43:49.110924Z","shell.execute_reply":"2024-12-05T19:43:49.114435Z"}},"outputs":[],"execution_count":147},{"cell_type":"code","source":"# network parameters\nbatch_size = 128","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:43:49.116672Z","iopub.execute_input":"2024-12-05T19:43:49.1171Z","iopub.status.idle":"2024-12-05T19:43:49.124595Z","shell.execute_reply.started":"2024-12-05T19:43:49.117043Z","shell.execute_reply":"2024-12-05T19:43:49.123818Z"}},"outputs":[],"execution_count":148},{"cell_type":"markdown","source":"- The **batch_size** argument indicates the number of data that we will use for each update of the model parameters.\n","metadata":{}},{"cell_type":"markdown","source":"# 1. Designing ANN model using Keras DL Library <a class=\"anchor\" id=\"5\"></a>","metadata":{}},{"cell_type":"markdown","source":"### 1.1 Designing the model architecture <a class=\"anchor\" id=\"5.6\"></a>\n\n\n- The next step is to design the model architecture. The proposed model is made of three MLP layers. \n\n- In Keras, an MLP layer is referred to as Dense, which stands for the densely connected layer. \n\n- Both the first and second MLP layers are identical in nature with 256 neurons each and with relu activation. \n\n- Output layer has 10 neurons, which is equal to the number of the categories and with softmax activation. ","metadata":{}},{"cell_type":"markdown","source":"- The main data structure in Keras is the Sequential class, which allows the creation of a basic neural network.\n\n- The Sequential class of the Keras library is a wrapper for the sequential neural network model that Keras offers and can be created in the following way:\n\n`from keras.models import Sequential`\n\n`model = Sequential()`\n\n- The model in Keras is considered as a sequence of layers and each of them gradually “distills” the input data to obtain the desired output.\n\n- In Keras, we can add the required types of layers through the **add()** method.","metadata":{}},{"cell_type":"code","source":"# Design an ANN model with a 3-layer and  ReLU using the Keras\nfrom keras.models import Sequential\nfrom keras.layers import Dense\n\n# Initialize the model\nmodel = Sequential()\n\n# Add the first hidden layer with 256 neurons and ReLU activation\nmodel.add(Dense(256, input_dim=784, activation='relu'))  # input_dim=784 for MNIST (28x28 images flattened)\n\n# Add the second hidden layer with 256 neurons and ReLU activation\nmodel.add(Dense(256, activation='relu'))\n\n# Add the output layer with 10 neurons (for 10 classes) and softmax activation\nmodel.add(Dense(10, activation='softmax'))\n\nmodel.compile(loss='categorical_crossentropy', \n              optimizer='adam', \n              metrics=['accuracy'])\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:49:23.657767Z","iopub.execute_input":"2024-12-05T19:49:23.658585Z","iopub.status.idle":"2024-12-05T19:49:23.691388Z","shell.execute_reply.started":"2024-12-05T19:49:23.658551Z","shell.execute_reply":"2024-12-05T19:49:23.69051Z"}},"outputs":[],"execution_count":157},{"cell_type":"markdown","source":"- Since a Dense layer is a linear operation, a sequence of Dense layers can only approximate a linear function. \n\n- The problem is that the MNIST digit classification is inherently a non-linear process. Inserting a relu activation between Dense layers will enable MLPs to model non-linear mappings. \n\n- relu or Rectified Linear Unit (ReLU) is a simple non-linear function. It allows positive inputs to pass through unchanged while clamping everything else to zero.","metadata":{}},{"cell_type":"markdown","source":"### 1.2 View model summary <a class=\"anchor\" id=\"5.7\"></a>\n\n- Keras library provides us **summary()** method to check the model description.","metadata":{}},{"cell_type":"code","source":"model.summary()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:49:35.737311Z","iopub.execute_input":"2024-12-05T19:49:35.738134Z","iopub.status.idle":"2024-12-05T19:49:35.754423Z","shell.execute_reply.started":"2024-12-05T19:49:35.738084Z","shell.execute_reply":"2024-12-05T19:49:35.753595Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"\u001b[1mModel: \"sequential_7\"\u001b[0m\n","text/html":"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">Model: \"sequential_7\"</span>\n</pre>\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃\u001b[1m \u001b[0m\u001b[1mLayer (type)                   \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mOutput Shape          \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m      Param #\u001b[0m\u001b[1m \u001b[0m┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ dense_3 (\u001b[38;5;33mDense\u001b[0m)                 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m256\u001b[0m)            │       \u001b[38;5;34m200,960\u001b[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ dense_4 (\u001b[38;5;33mDense\u001b[0m)                 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m256\u001b[0m)            │        \u001b[38;5;34m65,792\u001b[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ dense_5 (\u001b[38;5;33mDense\u001b[0m)                 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m10\u001b[0m)             │         \u001b[38;5;34m2,570\u001b[0m │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n","text/html":"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃<span style=\"font-weight: bold\"> Layer (type)                    </span>┃<span style=\"font-weight: bold\"> Output Shape           </span>┃<span style=\"font-weight: bold\">       Param # </span>┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ dense_3 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                 │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">256</span>)            │       <span style=\"color: #00af00; text-decoration-color: #00af00\">200,960</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ dense_4 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                 │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">256</span>)            │        <span style=\"color: #00af00; text-decoration-color: #00af00\">65,792</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ dense_5 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                 │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">10</span>)             │         <span style=\"color: #00af00; text-decoration-color: #00af00\">2,570</span> │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n</pre>\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"\u001b[1m Total params: \u001b[0m\u001b[38;5;34m269,322\u001b[0m (1.03 MB)\n","text/html":"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Total params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">269,322</span> (1.03 MB)\n</pre>\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"\u001b[1m Trainable params: \u001b[0m\u001b[38;5;34m269,322\u001b[0m (1.03 MB)\n","text/html":"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">269,322</span> (1.03 MB)\n</pre>\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"\u001b[1m Non-trainable params: \u001b[0m\u001b[38;5;34m0\u001b[0m (0.00 B)\n","text/html":"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Non-trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> (0.00 B)\n</pre>\n"},"metadata":{}}],"execution_count":158},{"cell_type":"markdown","source":"- The above listing shows the model summary of the proposed network. It requires a total of 269,322 parameters.\n\n- This is substantial considering that we have a simple task of classifying MNIST digits. So, MLPs are not parameter efficient. \n\n- The total number of parameters required can be computed as follows:\n\n  - From input to Dense layer: 784 × 256 + 256 = 200,960. \n  \n  - From first Dense to second Dense: 256 × 256 + 256 = 65,792. \n  \n  - From second Dense to the output layer: 10 × 256 + 10 = 2,570. \n  \n  - The total is 200,690 + 65,972 + 2,570 = 269,322.","metadata":{}},{"cell_type":"markdown","source":"- Another way of verifying the network is by calling the **plot_model()** method as follows:","metadata":{}},{"cell_type":"code","source":"from keras.utils import plot_model\n\n# Plot the model architecture and save the image to 'mlp-mnist_plot.png'\nplot_model(model, to_file='mlp-mnist_plot.png', \n           show_shapes=True, \n           show_layer_names=True, \n           dpi=50)\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:49:41.089184Z","iopub.execute_input":"2024-12-05T19:49:41.08984Z","iopub.status.idle":"2024-12-05T19:49:41.271559Z","shell.execute_reply.started":"2024-12-05T19:49:41.089807Z","shell.execute_reply":"2024-12-05T19:49:41.27055Z"}},"outputs":[{"execution_count":159,"output_type":"execute_result","data":{"image/png":"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","text/plain":"<IPython.core.display.Image object>"},"metadata":{}}],"execution_count":159},{"cell_type":"markdown","source":"### 1.3 Compile the model with compile() method <a class=\"anchor\" id=\"6.1\"></a>\n\n\n- Compilation of model can be done as follows:","metadata":{}},{"cell_type":"code","source":"model.compile(loss='categorical_crossentropy', \n              optimizer='adam',\n              metrics=['accuracy'])","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:49:44.877871Z","iopub.execute_input":"2024-12-05T19:49:44.878552Z","iopub.status.idle":"2024-12-05T19:49:44.88688Z","shell.execute_reply.started":"2024-12-05T19:49:44.878515Z","shell.execute_reply":"2024-12-05T19:49:44.886037Z"}},"outputs":[],"execution_count":160},{"cell_type":"markdown","source":"### Loss function (categorical_crossentropy)\n\n- How far the predicted tensor is from the one-hot ground truth vector is called **loss**.\n\n- In this example, we use **categorical_crossentropy** as the loss function. It is the negative of the sum of the product of the target and the logarithm of the prediction. \n\n- There are other loss functions in Keras, such as mean_absolute_error and binary_crossentropy. The choice of the loss function is not arbitrary but should be a criterion that the model is learning. \n\n- For classification by category, categorical_crossentropy or mean_squared_error is a good choice after the softmax activation layer. The binary_crossentropy loss function is normally used after the sigmoid activation layer while mean_squared_error is an option for tanh output.","metadata":{}},{"cell_type":"markdown","source":"### Optimization (optimizer adam)\n\n- With optimization, the objective is to minimize the loss function. The idea is that if the loss is reduced to an acceptable level, the model has indirectly learned the function mapping input to output.\n\n- In Keras, there are several choices for optimizers. The most commonly used optimizers are; **Stochastic Gradient Descent (SGD)**, **Adaptive Moments (Adam)** and **Root Mean Squared Propagation (RMSprop)**. \n\n- Each optimizer features tunable parameters like learning rate, momentum, and decay. \n\n- Adam and RMSprop are variations of SGD with adaptive learning rates. In the proposed classifier network, Adam is used since it has the highest test accuracy.","metadata":{}},{"cell_type":"markdown","source":"### Metrics (accuracy)\n\n- Performance metrics are used to determine if a model has learned the underlying data distribution. The default metric in Keras is loss. \n\n- During training, validation, and testing, other metrics such as **accuracy** can also be included. \n\n- **Accuracy** is the percent, or fraction, of correct predictions based on ground truth.","metadata":{}},{"cell_type":"markdown","source":"### 1.4 Train the model with fit() method <a class=\"anchor\" id=\"6.2\"></a>","metadata":{}},{"cell_type":"code","source":"# Fit your model\nhistory = model.fit(X_train_, Y_train, \n                    epochs=10,             \n                    batch_size=32,         \n                    validation_split=0.1)  \n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:49:50.296906Z","iopub.execute_input":"2024-12-05T19:49:50.297527Z","iopub.status.idle":"2024-12-05T19:50:16.602277Z","shell.execute_reply.started":"2024-12-05T19:49:50.297491Z","shell.execute_reply":"2024-12-05T19:50:16.601541Z"}},"outputs":[{"name":"stdout","text":"Epoch 1/10\n","output_type":"stream"},{"name":"stderr","text":"WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\nI0000 00:00:1733428191.555526     360 service.cc:145] XLA service 0x7a9664005860 initialized for platform CUDA (this does not guarantee that XLA will be used). Devices:\nI0000 00:00:1733428191.555584     360 service.cc:153]   StreamExecutor device (0): Tesla P100-PCIE-16GB, Compute Capability 6.0\n","output_type":"stream"},{"name":"stdout","text":"\u001b[1m 119/1688\u001b[0m \u001b[32m━\u001b[0m\u001b[37m━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.6468 - loss: 1.1362","output_type":"stream"},{"name":"stderr","text":"I0000 00:00:1733428192.507269     360 device_compiler.h:188] Compiled cluster using XLA!  This line is logged at most once for the lifetime of the process.\n","output_type":"stream"},{"name":"stdout","text":"\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m5s\u001b[0m 2ms/step - accuracy: 0.8868 - loss: 0.3745 - val_accuracy: 0.9673 - val_loss: 0.1046\nEpoch 2/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9698 - loss: 0.0987 - val_accuracy: 0.9737 - val_loss: 0.0894\nEpoch 3/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9812 - loss: 0.0605 - val_accuracy: 0.9763 - val_loss: 0.0904\nEpoch 4/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9869 - loss: 0.0402 - val_accuracy: 0.9762 - val_loss: 0.0938\nEpoch 5/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9896 - loss: 0.0327 - val_accuracy: 0.9808 - val_loss: 0.0782\nEpoch 6/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9910 - loss: 0.0274 - val_accuracy: 0.9780 - val_loss: 0.1026\nEpoch 7/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9932 - loss: 0.0210 - val_accuracy: 0.9813 - val_loss: 0.0999\nEpoch 8/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9937 - loss: 0.0194 - val_accuracy: 0.9788 - val_loss: 0.1060\nEpoch 9/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9934 - loss: 0.0194 - val_accuracy: 0.9803 - val_loss: 0.1054\nEpoch 10/10\n\u001b[1m1688/1688\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9948 - loss: 0.0163 - val_accuracy: 0.9795 - val_loss: 0.1130\n","output_type":"stream"}],"execution_count":161},{"cell_type":"markdown","source":"### 1.5 Evaluating model performance with evaluate() method <a class=\"anchor\" id=\"6.3\"></a>","metadata":{}},{"cell_type":"code","source":"loss, acc = model.evaluate(X_train_, Y_train, batch_size=batch_size)\nprint(\"\\nTraining accuracy: %.1f%%\" % (100.0 * acc))\n\nloss, acc = model.evaluate(X_test_, Y_test, batch_size=batch_size)\nprint(\"\\nTest accuracy: %.1f%%\" % (100.0 * acc))","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:50:34.902253Z","iopub.execute_input":"2024-12-05T19:50:34.902599Z","iopub.status.idle":"2024-12-05T19:50:36.577953Z","shell.execute_reply.started":"2024-12-05T19:50:34.902565Z","shell.execute_reply":"2024-12-05T19:50:36.577145Z"}},"outputs":[{"name":"stdout","text":"\u001b[1m469/469\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 2ms/step - accuracy: 0.9949 - loss: 0.0155\n\nTraining accuracy: 99.3%\n\u001b[1m79/79\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 1ms/step - accuracy: 0.9758 - loss: 0.1227\n\nTest accuracy: 98.0%\n","output_type":"stream"}],"execution_count":162},{"cell_type":"markdown","source":"### 1.6 Monitoring the training process <a class=\"anchor\" id=\"6.3\"></a>","metadata":{}},{"cell_type":"code","source":"pd.DataFrame(history.history).head()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:50:43.897258Z","iopub.execute_input":"2024-12-05T19:50:43.897611Z","iopub.status.idle":"2024-12-05T19:50:43.916158Z","shell.execute_reply.started":"2024-12-05T19:50:43.897578Z","shell.execute_reply":"2024-12-05T19:50:43.915035Z"}},"outputs":[{"execution_count":163,"output_type":"execute_result","data":{"text/plain":"   accuracy      loss  val_accuracy  val_loss\n0  0.935148  0.215215      0.967333  0.104622\n1  0.972704  0.088361      0.973667  0.089396\n2  0.982093  0.056605      0.976333  0.090389\n3  0.986982  0.040483      0.976167  0.093837\n4  0.989000  0.034770      0.980833  0.078220","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>accuracy</th>\n      <th>loss</th>\n      <th>val_accuracy</th>\n      <th>val_loss</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0.935148</td>\n      <td>0.215215</td>\n      <td>0.967333</td>\n      <td>0.104622</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.972704</td>\n      <td>0.088361</td>\n      <td>0.973667</td>\n      <td>0.089396</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0.982093</td>\n      <td>0.056605</td>\n      <td>0.976333</td>\n      <td>0.090389</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0.986982</td>\n      <td>0.040483</td>\n      <td>0.976167</td>\n      <td>0.093837</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0.989000</td>\n      <td>0.034770</td>\n      <td>0.980833</td>\n      <td>0.078220</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":163},{"cell_type":"code","source":"plt.title('Loss')\nplt.plot(history.history['loss'], label='train loss')\nplt.plot(history.history['val_loss'], label='validation loss')\n# Set x-axis ticks to be integers\nplt.xticks(np.arange(0, len(history.history['loss']), step=5))  # This sets ticks from 0 to 10\nplt.ylabel('Errors')  \nplt.xlabel('Iterarions')  \nplt.legend()\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:50:48.981975Z","iopub.execute_input":"2024-12-05T19:50:48.982349Z","iopub.status.idle":"2024-12-05T19:50:49.214217Z","shell.execute_reply.started":"2024-12-05T19:50:48.982314Z","shell.execute_reply":"2024-12-05T19:50:49.213359Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":164},{"cell_type":"code","source":"plt.title('accuracy')\nplt.plot(history.history['accuracy'], label='train accuracy')\nplt.plot(history.history['val_accuracy'], label='val accuracy')\n# Set x-axis ticks to be integers\nplt.xticks(np.arange(0, len(history.history['loss']), step=5))  # This sets ticks from 0 to 10\nplt.ylabel('Accuracies')  \nplt.xlabel('Iterarions')  \nplt.legend()\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:50:53.829007Z","iopub.execute_input":"2024-12-05T19:50:53.829824Z","iopub.status.idle":"2024-12-05T19:50:53.988832Z","shell.execute_reply.started":"2024-12-05T19:50:53.829789Z","shell.execute_reply":"2024-12-05T19:50:53.987962Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":165},{"cell_type":"markdown","source":"# 2. Results and Conclusion <a class=\"anchor\" id=\"8\"></a>\n\n[Back to Table of Contents](#0.1)\n\n\n- In this notebook, We build a ANN neural network model using Keras DL library to classify the MNIST digits and predict accuracy.\n\n","metadata":{}},{"cell_type":"code","source":"# Visualize Evaluation Metrics of ML Models\nfrom sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay\n# Make predictions\nY_pred = model.predict(X_test_)\nY_pred_categorical = np.argmax(Y_pred, axis=1)\nY_test_categorical = np.argmax(Y_test, axis=1)\n\n# Compute the confusion matrix\ncm = confusion_matrix(Y_test_categorical, Y_pred_categorical)\n\n# Plot the confusion matrix\ndisp = ConfusionMatrixDisplay(confusion_matrix=cm)\ndisp.plot(cmap=plt.cm.Blues)\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:51:05.474904Z","iopub.execute_input":"2024-12-05T19:51:05.475978Z","iopub.status.idle":"2024-12-05T19:51:06.661588Z","shell.execute_reply.started":"2024-12-05T19:51:05.475943Z","shell.execute_reply":"2024-12-05T19:51:06.660791Z"}},"outputs":[{"name":"stdout","text":"\u001b[1m313/313\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 1ms/step\n","output_type":"stream"},{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 2 Axes>","image/png":"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"},"metadata":{}}],"execution_count":166},{"cell_type":"code","source":"from sklearn import metrics\nprint(metrics.classification_report(Y_test_categorical, Y_pred_categorical))","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:51:11.011088Z","iopub.execute_input":"2024-12-05T19:51:11.011977Z","iopub.status.idle":"2024-12-05T19:51:11.035412Z","shell.execute_reply.started":"2024-12-05T19:51:11.01194Z","shell.execute_reply":"2024-12-05T19:51:11.034557Z"}},"outputs":[{"name":"stdout","text":"              precision    recall  f1-score   support\n\n           0       0.98      0.99      0.99       980\n           1       1.00      0.99      0.99      1135\n           2       0.97      0.99      0.98      1032\n           3       0.98      0.98      0.98      1010\n           4       0.98      0.98      0.98       982\n           5       0.98      0.98      0.98       892\n           6       0.98      0.98      0.98       958\n           7       0.98      0.98      0.98      1028\n           8       0.98      0.98      0.98       974\n           9       0.98      0.95      0.97      1009\n\n    accuracy                           0.98     10000\n   macro avg       0.98      0.98      0.98     10000\nweighted avg       0.98      0.98      0.98     10000\n\n","output_type":"stream"}],"execution_count":167},{"cell_type":"markdown","source":"# Developing a User Interface to interact with the trained model\n# 3. Using the trained model in the production environment","metadata":{}},{"cell_type":"markdown","source":"*Draw a digit on the black background* using the Paint application and save it as **png** image. As seen the following example:\n\n![image.png](attachment:77f091c0-cd1b-4401-8fdd-ccea49830f20.png)","metadata":{},"attachments":{"77f091c0-cd1b-4401-8fdd-ccea49830f20.png":{"image/png":"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"}}},{"cell_type":"code","source":"# Draw a number on the black background using the Paint application and save it as png image. As seen in the example above:\n# Execute this cell to make available the upload button and upload your image from your computer to the kaggle notebook. \nimport ipywidgets as widgets\nfrom ipywidgets import interact\n# Define the widget\nfile_upload = widgets.FileUpload(\n    accept='.png',   # The type of files to accept\n    multiple=False    # Whether to allow to upload multiple files or not\n)\n\n# Display the widget\ndisplay(file_upload)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:51:15.935233Z","iopub.execute_input":"2024-12-05T19:51:15.93613Z","iopub.status.idle":"2024-12-05T19:51:16.008237Z","shell.execute_reply.started":"2024-12-05T19:51:15.936093Z","shell.execute_reply":"2024-12-05T19:51:16.007337Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"FileUpload(value={}, accept='.png', description='Upload')","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"ff2924d115f242e9bc61c21c2d5e1b81"}},"metadata":{}}],"execution_count":168},{"cell_type":"code","source":"#Run this cell to see the prediction for your uploaded image.\n\nif  len(file_upload.data)!=0:\n    import io\n    rawdata = file_upload.data[0]\n    #When you need to handle binary data (like images or files) without saving them to disk, io.BytesIO can be very handy\n    img = io.BytesIO(rawdata)\n    # loading and displaying the sample image\n    from PIL import Image\n    import numpy as np\n    import matplotlib.pyplot as plt \n    img=Image.open(img).convert('L').resize((28, 28))\n    \n    # convert('L') loads the image as gray scale image.\n    img=np.array(img) # convert the image into the Numpy array.\n    \n    # Plot the image\n    plt.figure(figsize=(2, 2))  # Width: 2 inches, Height: 2 inches\n    plt.imshow(img, cmap='gray')\n    plt.axis('off')  # Hide the axis\n    plt.show()\n    # Print the Shape of image as it is a Numpy Array\n    print(\"Image is reshaped into:\", img.shape)\n\n    # Scalling the image so that all pixel values can fall into \n    # the range of 1 to 0 \n    # Same as our training samples\n    img=img/255\n    # reshape our image data matrix \n    # so that match input shape of the our trained perceptron network \n    img=img.reshape(-1, 28*28)\n    print('Flattened image shape:\\n',img.shape)\n    prediction = model.predict(img)\n    prediction = np.argmax(prediction, axis=1)\n    print(\"Prediction for the uploaded image is: \", prediction)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-05T19:51:47.533321Z","iopub.execute_input":"2024-12-05T19:51:47.534189Z","iopub.status.idle":"2024-12-05T19:51:47.54034Z","shell.execute_reply.started":"2024-12-05T19:51:47.534151Z","shell.execute_reply":"2024-12-05T19:51:47.539432Z"}},"outputs":[],"execution_count":171},{"cell_type":"markdown","source":"# References <a class=\"anchor\" id=\"9\"></a>\n\n1. https://keras.io/api/datasets/mnist/\n\n\n\n\n\n\n","metadata":{}}]}