{"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":"none","dataSources":[{"sourceId":3004,"databundleVersionId":861823,"sourceType":"competition"}],"dockerImageVersionId":30786,"isInternetEnabled":true,"language":"python","sourceType":"notebook","isGpuEnabled":false}},"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":"2024-11-27T09:36:48.053537Z","iopub.execute_input":"2024-11-27T09:36:48.054124Z","iopub.status.idle":"2024-11-27T09:37:02.623778Z","shell.execute_reply.started":"2024-11-27T09:36:48.054062Z","shell.execute_reply":"2024-11-27T09:37:02.622738Z"}},"outputs":[],"execution_count":1},{"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":"2024-11-27T09:37:02.62581Z","iopub.execute_input":"2024-11-27T09:37:02.626438Z","iopub.status.idle":"2024-11-27T09:37:03.097669Z","shell.execute_reply.started":"2024-11-27T09:37:02.626403Z","shell.execute_reply":"2024-11-27T09:37:03.096372Z"}},"outputs":[{"name":"stdout","text":"Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n\u001b[1m11490434/11490434\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 0us/step\n","output_type":"stream"}],"execution_count":2},{"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":"2024-11-27T09:37:21.268108Z","iopub.execute_input":"2024-11-27T09:37:21.268524Z","iopub.status.idle":"2024-11-27T09:37:21.275107Z","shell.execute_reply.started":"2024-11-27T09:37:21.26849Z","shell.execute_reply":"2024-11-27T09:37:21.273767Z"}},"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":3},{"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":"2024-11-27T09:37:26.967955Z","iopub.execute_input":"2024-11-27T09:37:26.968347Z","iopub.status.idle":"2024-11-27T09:37:26.979744Z","shell.execute_reply.started":"2024-11-27T09:37:26.968317Z","shell.execute_reply":"2024-11-27T09:37:26.978471Z"}},"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":4},{"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":"2024-11-27T09:37:32.960301Z","iopub.execute_input":"2024-11-27T09:37:32.960773Z","iopub.status.idle":"2024-11-27T09:37:33.265028Z","shell.execute_reply.started":"2024-11-27T09:37:32.960732Z","shell.execute_reply":"2024-11-27T09:37:33.263751Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 300x300 with 9 Axes>","image/png":"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"},"metadata":{}}],"execution_count":5},{"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":"2024-11-27T09:37:41.562932Z","iopub.execute_input":"2024-11-27T09:37:41.563381Z","iopub.status.idle":"2024-11-27T09:37:41.572821Z","shell.execute_reply.started":"2024-11-27T09:37:41.563337Z","shell.execute_reply":"2024-11-27T09:37:41.571598Z"}},"outputs":[{"execution_count":6,"output_type":"execute_result","data":{"text/plain":"array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=uint8)"},"metadata":{}}],"execution_count":6},{"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":"2024-11-27T09:37:49.125784Z","iopub.execute_input":"2024-11-27T09:37:49.126918Z","iopub.status.idle":"2024-11-27T09:37:49.134555Z","shell.execute_reply.started":"2024-11-27T09:37:49.126876Z","shell.execute_reply":"2024-11-27T09:37:49.133349Z"}},"outputs":[{"name":"stdout","text":"10\n","output_type":"stream"}],"execution_count":7},{"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":"2024-11-27T09:37:56.011167Z","iopub.execute_input":"2024-11-27T09:37:56.011633Z","iopub.status.idle":"2024-11-27T09:37:56.111087Z","shell.execute_reply.started":"2024-11-27T09:37:56.011571Z","shell.execute_reply":"2024-11-27T09:37:56.109979Z"}},"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":8},{"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":"2024-11-27T09:38:02.1338Z","iopub.execute_input":"2024-11-27T09:38:02.134221Z","iopub.status.idle":"2024-11-27T09:38:02.140517Z","shell.execute_reply.started":"2024-11-27T09:38:02.134189Z","shell.execute_reply":"2024-11-27T09:38:02.139169Z"}},"outputs":[{"name":"stdout","text":"784\n","output_type":"stream"}],"execution_count":9},{"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":"2024-11-27T09:38:08.904345Z","iopub.execute_input":"2024-11-27T09:38:08.904781Z","iopub.status.idle":"2024-11-27T09:38:08.912452Z","shell.execute_reply.started":"2024-11-27T09:38:08.904742Z","shell.execute_reply":"2024-11-27T09:38:08.911138Z"}},"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":10},{"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":"2024-11-27T09:38:26.330941Z","iopub.execute_input":"2024-11-27T09:38:26.331323Z","iopub.status.idle":"2024-11-27T09:38:26.445863Z","shell.execute_reply.started":"2024-11-27T09:38:26.331294Z","shell.execute_reply":"2024-11-27T09:38:26.444667Z"}},"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":11},{"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=(128,64), \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\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","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T09:46:09.284502Z","iopub.execute_input":"2024-11-27T09:46:09.285012Z","iopub.status.idle":"2024-11-27T09:46:10.034671Z","shell.execute_reply.started":"2024-11-27T09:46:09.284973Z","shell.execute_reply":"2024-11-27T09:46:10.033179Z"}},"outputs":[{"execution_count":12,"output_type":"execute_result","data":{"text/plain":"MLPClassifier(hidden_layer_sizes=(128, 64), max_iter=50, random_state=1)","text/html":"<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 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-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 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-1 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-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 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-1 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-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 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-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 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-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 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-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>MLPClassifier(hidden_layer_sizes=(128, 64), 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-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">MLPClassifier</label><div class=\"sk-toggleable__content\"><pre>MLPClassifier(hidden_layer_sizes=(128, 64), max_iter=50, random_state=1)</pre></div></div></div></div></div>"},"metadata":{}}],"execution_count":12},{"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\nANN.fit(X_train, y_train)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:01:35.126709Z","iopub.execute_input":"2024-11-27T10:01:35.127804Z","iopub.status.idle":"2024-11-27T10:03:39.929133Z","shell.execute_reply.started":"2024-11-27T10:01:35.127757Z","shell.execute_reply":"2024-11-27T10:03:39.926377Z"}},"outputs":[{"name":"stderr","text":"/opt/conda/lib/python3.10/site-packages/sklearn/neural_network/_multilayer_perceptron.py:686: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (50) reached and the optimization hasn't converged yet.\n  warnings.warn(\n","output_type":"stream"},{"execution_count":21,"output_type":"execute_result","data":{"text/plain":"MLPClassifier(hidden_layer_sizes=(128, 64), max_iter=50, random_state=1)","text/html":"<style>#sk-container-id-2 {color: black;background-color: white;}#sk-container-id-2 pre{padding: 0;}#sk-container-id-2 div.sk-toggleable {background-color: white;}#sk-container-id-2 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-2 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-2 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-2 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-2 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 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-2 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-2 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-2 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 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-2 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-2 div.sk-item {position: relative;z-index: 1;}#sk-container-id-2 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-2 div.sk-item::before, #sk-container-id-2 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-2 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-2 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-2 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-2 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-2 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-2 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-2 div.sk-label-container {text-align: center;}#sk-container-id-2 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-2 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>MLPClassifier(hidden_layer_sizes=(128, 64), 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-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">MLPClassifier</label><div class=\"sk-toggleable__content\"><pre>MLPClassifier(hidden_layer_sizes=(128, 64), max_iter=50, random_state=1)</pre></div></div></div></div></div>"},"metadata":{}}],"execution_count":21},{"cell_type":"code","source":"print( ANN.out_activation_)\nprint( ANN.n_outputs_)\nprint( ANN.n_features_in_)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:04:21.772178Z","iopub.execute_input":"2024-11-27T10:04:21.772651Z","iopub.status.idle":"2024-11-27T10:04:21.778828Z","shell.execute_reply.started":"2024-11-27T10:04:21.772613Z","shell.execute_reply":"2024-11-27T10:04:21.777633Z"}},"outputs":[{"name":"stdout","text":"softmax\n10\n784\n","output_type":"stream"}],"execution_count":22},{"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\nfrom sklearn.metrics import accuracy_score\n#training accuracy and display\ntrain_predictions = ANN.predict(X_train)\ntrain_accuracy = accuracy_score(y_train, train_predictions)\nprint(f\"Training Accuracy: {train_accuracy:.4f}\")\n\n#test accuracy and display\ntest_predictions = ANN.predict(X_test)\ntest_accuracy = accuracy_score(y_test, test_predictions)\nprint(f\"Testing Accuracy: {test_accuracy:.4f}\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:12:13.540748Z","iopub.execute_input":"2024-11-27T10:12:13.541907Z","iopub.status.idle":"2024-11-27T10:12:14.154588Z","shell.execute_reply.started":"2024-11-27T10:12:13.541862Z","shell.execute_reply":"2024-11-27T10:12:14.152058Z"}},"outputs":[{"name":"stdout","text":"Training Accuracy: 0.9945\nTesting Accuracy: 0.9707\n","output_type":"stream"}],"execution_count":24},{"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_)\n\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)\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":"2024-11-27T10:26:33.274106Z","iopub.execute_input":"2024-11-27T10:26:33.274499Z","iopub.status.idle":"2024-11-27T10:26:33.876808Z","shell.execute_reply.started":"2024-11-27T10:26:33.274469Z","shell.execute_reply":"2024-11-27T10:26:33.875629Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 2 Axes>","image/png":"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"},"metadata":{}}],"execution_count":30},{"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":"2024-11-27T10:27:12.206616Z","iopub.execute_input":"2024-11-27T10:27:12.20703Z","iopub.status.idle":"2024-11-27T10:27:12.213333Z","shell.execute_reply.started":"2024-11-27T10:27:12.206996Z","shell.execute_reply":"2024-11-27T10:27:12.211981Z"}},"outputs":[{"name":"stdout","text":"Number of the training: 50\n","output_type":"stream"}],"execution_count":31},{"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":"2024-11-27T10:27:19.72759Z","iopub.execute_input":"2024-11-27T10:27:19.72809Z","iopub.status.idle":"2024-11-27T10:27:19.973765Z","shell.execute_reply.started":"2024-11-27T10:27:19.728052Z","shell.execute_reply":"2024-11-27T10:27:19.972639Z"}},"outputs":[{"name":"stdout","text":"Number of the training: 50\n","output_type":"stream"},{"execution_count":32,"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":32},{"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":"2024-11-27T10:27:25.063991Z","iopub.execute_input":"2024-11-27T10:27:25.064377Z","iopub.status.idle":"2024-11-27T10:27:25.073171Z","shell.execute_reply.started":"2024-11-27T10:27:25.064345Z","shell.execute_reply":"2024-11-27T10:27:25.072067Z"}},"outputs":[],"execution_count":33},{"cell_type":"code","source":"# network parameters\nbatch_size = 128","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:27:29.042321Z","iopub.execute_input":"2024-11-27T10:27:29.042749Z","iopub.status.idle":"2024-11-27T10:27:29.047652Z","shell.execute_reply.started":"2024-11-27T10:27:29.042713Z","shell.execute_reply":"2024-11-27T10:27:29.046476Z"}},"outputs":[],"execution_count":34},{"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 tensorflow.keras.optimizers import Adam\nmodel = Sequential()\n\nmodel.add(Dense(256, input_dim=784, activation='relu')) # First Hidden Layer: 256 neurons, ReLU activation\nmodel.add(Dense(256, activation='relu')) # Second Hidden Layer: 256 neurons, ReLU activation\nmodel.add(Dropout(0.2)) # Dropout Layer to prevent overfitting\nmodel.add(Dense(10, activation='softmax')) # Output Layer: 10 neurons for 10 classes, Softmax activation\n\n# Compile the model\nmodel.compile(optimizer=Adam(), loss='categorical_crossentropy', metrics=['accuracy'])","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:36:27.074545Z","iopub.execute_input":"2024-11-27T10:36:27.075016Z","iopub.status.idle":"2024-11-27T10:36:27.134416Z","shell.execute_reply.started":"2024-11-27T10:36:27.07498Z","shell.execute_reply":"2024-11-27T10:36:27.133099Z"}},"outputs":[],"execution_count":36},{"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":"2024-11-27T10:36:37.221934Z","iopub.execute_input":"2024-11-27T10:36:37.222344Z","iopub.status.idle":"2024-11-27T10:36:37.244794Z","shell.execute_reply.started":"2024-11-27T10:36:37.222309Z","shell.execute_reply":"2024-11-27T10:36:37.243716Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"\u001b[1mModel: \"sequential_1\"\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_1\"</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│ dropout_1 (\u001b[38;5;33mDropout\u001b[0m)             │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m256\u001b[0m)            │             \u001b[38;5;34m0\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│ dropout_1 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dropout</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\">0</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":37},{"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":"\n\nplot_model(model, to_file='mlp-mnist_plot.png', \n           show_shapes=True, \n           show_layer_names=True, \n           dpi=50, \n           show_layer_activations=True,\n           show_trainable=True)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T10:36:43.371235Z","iopub.execute_input":"2024-11-27T10:36:43.371589Z","iopub.status.idle":"2024-11-27T10:36:43.64714Z","shell.execute_reply.started":"2024-11-27T10:36:43.371559Z","shell.execute_reply":"2024-11-27T10:36:43.645977Z"}},"outputs":[{"execution_count":38,"output_type":"execute_result","data":{"image/png":"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","text/plain":"<IPython.core.display.Image object>"},"metadata":{}}],"execution_count":38},{"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":"x_train = x_train.reshape(-1, 784)\nx_test = x_test.reshape(-1, 784)\nx_train = x_train.astype('float32') / 255\nx_test = x_test.astype('float32') / 255\ny_train = to_categorical(y_train, 10)\ny_test = to_categorical(y_test, 10)\nmodel.add(Dense(256, input_dim=784, activation='relu'))\nmodel.add(Dense(256, activation='relu'))\nmodel.add(Dense(10, activation='softmax'))\n\nmodel.compile(loss='categorical_crossentropy', \n              optimizer='adam',\n              metrics=['accuracy'])","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T11:09:51.727047Z","iopub.execute_input":"2024-11-27T11:09:51.727527Z","iopub.status.idle":"2024-11-27T11:09:51.936922Z","shell.execute_reply.started":"2024-11-27T11:09:51.727487Z","shell.execute_reply":"2024-11-27T11:09:51.935719Z"}},"outputs":[{"name":"stderr","text":"/opt/conda/lib/python3.10/site-packages/keras/src/layers/core/dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n  super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n","output_type":"stream"}],"execution_count":44},{"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":"\n\n# Fit your model\nhistory = model.fit(x_train, y_train,\n                    epochs=10,          \n                    batch_size=128,     \n                    validation_split=0.1,  \n                    verbose=1)                    ","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T11:10:06.076236Z","iopub.execute_input":"2024-11-27T11:10:06.076681Z","iopub.status.idle":"2024-11-27T11:10:42.754553Z","shell.execute_reply.started":"2024-11-27T11:10:06.076634Z","shell.execute_reply":"2024-11-27T11:10:42.753327Z"}},"outputs":[{"name":"stdout","text":"Epoch 1/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m6s\u001b[0m 8ms/step - accuracy: 0.2090 - loss: 2.0321 - val_accuracy: 0.6602 - val_loss: 0.9638\nEpoch 2/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.6843 - loss: 0.9234 - val_accuracy: 0.8552 - val_loss: 0.5173\nEpoch 3/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.8344 - loss: 0.5533 - val_accuracy: 0.8998 - val_loss: 0.3508\nEpoch 4/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.8874 - loss: 0.3847 - val_accuracy: 0.9292 - val_loss: 0.2651\nEpoch 5/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.9141 - loss: 0.2984 - val_accuracy: 0.9408 - val_loss: 0.2188\nEpoch 6/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.9304 - loss: 0.2400 - val_accuracy: 0.9485 - val_loss: 0.1918\nEpoch 7/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.9428 - loss: 0.2016 - val_accuracy: 0.9542 - val_loss: 0.1718\nEpoch 8/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.9490 - loss: 0.1813 - val_accuracy: 0.9590 - val_loss: 0.1596\nEpoch 9/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 8ms/step - accuracy: 0.9553 - loss: 0.1576 - val_accuracy: 0.9628 - val_loss: 0.1493\nEpoch 10/10\n\u001b[1m422/422\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 8ms/step - accuracy: 0.9609 - loss: 0.1392 - val_accuracy: 0.9640 - val_loss: 0.1389\n","output_type":"stream"}],"execution_count":45},{"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":"2024-11-27T11:10:55.997115Z","iopub.execute_input":"2024-11-27T11:10:55.997541Z","iopub.status.idle":"2024-11-27T11:10:58.727905Z","shell.execute_reply.started":"2024-11-27T11:10:55.997505Z","shell.execute_reply":"2024-11-27T11:10:58.726563Z"}},"outputs":[{"name":"stdout","text":"\u001b[1m469/469\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 3ms/step - accuracy: 0.5047 - loss: 4.6270\n\nTraining accuracy: 50.1%\n\u001b[1m79/79\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 3ms/step - accuracy: 0.4759 - loss: 5.0769\n\nTest accuracy: 49.8%\n","output_type":"stream"}],"execution_count":46},{"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":"2024-11-27T11:11:07.27816Z","iopub.execute_input":"2024-11-27T11:11:07.278558Z","iopub.status.idle":"2024-11-27T11:11:07.305239Z","shell.execute_reply.started":"2024-11-27T11:11:07.278523Z","shell.execute_reply":"2024-11-27T11:11:07.30402Z"}},"outputs":[{"execution_count":47,"output_type":"execute_result","data":{"text/plain":"   accuracy      loss  val_accuracy  val_loss\n0  0.361667  1.655607      0.660167  0.963758\n1  0.735833  0.809439      0.855167  0.517329\n2  0.849259  0.505239      0.899833  0.350764\n3  0.895074  0.363671      0.929167  0.265078\n4  0.918463  0.285933      0.940833  0.218778","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>0.361667</td>\n      <td>1.655607</td>\n      <td>0.660167</td>\n      <td>0.963758</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.735833</td>\n      <td>0.809439</td>\n      <td>0.855167</td>\n      <td>0.517329</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0.849259</td>\n      <td>0.505239</td>\n      <td>0.899833</td>\n      <td>0.350764</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0.895074</td>\n      <td>0.363671</td>\n      <td>0.929167</td>\n      <td>0.265078</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0.918463</td>\n      <td>0.285933</td>\n      <td>0.940833</td>\n      <td>0.218778</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":47},{"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":"2024-11-27T11:11:11.916436Z","iopub.execute_input":"2024-11-27T11:11:11.916865Z","iopub.status.idle":"2024-11-27T11:11:12.595757Z","shell.execute_reply.started":"2024-11-27T11:11:11.916829Z","shell.execute_reply":"2024-11-27T11:11:12.594588Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAcoAAAHWCAYAAAD3iMk8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABZH0lEQVR4nO3deXhU5fnG8e9km8keQkIWEgj7moRNEEGLAiJaiktFhR8IKq0LbhSt1CpoK6hViwtqRRGoG24oLRRQFBBEWQPIvidACGv2fWZ+f0wyECFhy8yZSe7PdZ2LyZkzeZ+gcHPOec77mux2ux0RERE5Kx+jCxAREfFkCkoREZEaKChFRERqoKAUERGpgYJSRESkBgpKERGRGigoRUREaqCgFBERqYGCUkREpAYKShERkRooKEW80IwZMzCZTKxZs8boUkTqPAWliIhIDRSUIiIiNVBQitRR69evZ+DAgYSFhRESEkLfvn356aefqhxTVlbGM888Q6tWrbBYLDRs2JDevXvzzTffOI85fPgwo0aNIiEhAbPZTFxcHIMHD2bfvn1u/olEjOFndAEiUvs2b97MlVdeSVhYGI8//jj+/v7861//ok+fPixdupQePXoAMHHiRCZPnsw999xD9+7dyc3NZc2aNaxbt47+/fsDcMstt7B582YefPBBkpKSOHLkCN988w3p6ekkJSUZ+FOKuIdJ61GKeJ8ZM2YwatQoVq9eTbdu3c54/6abbmL+/Pls3bqV5s2bA5CZmUmbNm3o3LkzS5cuBaBTp04kJCTw3//+96zjZGdn06BBA/7xj38wbtw41/1AIh5Ml15F6hir1cqiRYu48cYbnSEJEBcXx9ChQ1m+fDm5ubkAREREsHnzZnbu3HnW7xUYGEhAQABLlizh5MmTbqlfxNMoKEXqmKNHj1JYWEibNm3OeK9du3bYbDYyMjIAePbZZ8nOzqZ169YkJyfz2GOPsXHjRufxZrOZF154gf/973/ExMRw1VVX8eKLL3L48GG3/TwiRlNQitRjV111Fbt372b69Ol07NiRd999ly5duvDuu+86j3nkkUfYsWMHkydPxmKx8NRTT9GuXTvWr19vYOUi7qOgFKljoqOjCQoKYvv27We8t23bNnx8fEhMTHTui4yMZNSoUXz88cdkZGSQkpLCxIkTq3yuRYsW/OlPf2LRokX88ssvlJaW8vLLL7v6RxHxCApKkTrG19eXa6+9lq+//rrKIxxZWVl89NFH9O7dm7CwMACOHz9e5bMhISG0bNmSkpISAAoLCykuLq5yTIsWLQgNDXUeI1LX6fEQES82ffp0FixYcMb+iRMn8s0339C7d2/uv/9+/Pz8+Ne//kVJSQkvvvii87j27dvTp08funbtSmRkJGvWrOHzzz9nzJgxAOzYsYO+ffsyZMgQ2rdvj5+fH3PmzCErK4vbb7/dbT+niJH0eIiIF6p8PKQ6GRkZHD16lPHjx7NixQpsNhs9evTgueeeo2fPns7jnnvuOebOncuOHTsoKSmhadOmDB8+nMceewx/f3+OHz/OhAkTWLx4MRkZGfj5+dG2bVv+9Kc/ceutt7rjRxUxnIJSRESkBrpHKSIiUgMFpYiISA0UlCIiIjVQUIqIiNRAQSkiIlIDBaWIiEgN6t2EAzabjUOHDhEaGorJZDK6HBERMYjdbicvL4/4+Hh8fKo/b6x3QXno0KEq81yKiEj9lpGRQUJCQrXv17ugDA0NBRy/MZXzXYqISP2Tm5tLYmKiMxeqU++CsvJya1hYmIJSRETOeRtOzTwiIiI1UFCKiIjUQEEpIiJSg3p3j1JEPJvdbqe8vByr1Wp0KeLlfH198fPzu+RHARWUIuIxSktLyczMpLCw0OhSpI4ICgoiLi6OgICAi/4eCkoR8Qg2m429e/fi6+tLfHw8AQEBmhRELprdbqe0tJSjR4+yd+9eWrVqVeOkAjVRUIqIRygtLcVms5GYmEhQUJDR5UgdEBgYiL+/P/v376e0tBSLxXJR30fNPCLiUS72X/0iZ1Mb/z/p/0gREZEaKChFRERqoKAUEfEwSUlJTJkyxfDvIQ5q5hERuUR9+vShU6dOtRZMq1evJjg4uFa+l1w6BeUlsNvtal8XkfNit9uxWq34+Z37r93o6Gg3VCTnS5deL8KR3GKGTvuJq/7xPXa73ehyROosu91OYWm5Idv5/tkeOXIkS5cu5dVXX8VkMmEymdi3bx9LlizBZDLxv//9j65du2I2m1m+fDm7d+9m8ODBxMTEEBISwmWXXca3335b5Xv++rKpyWTi3Xff5aabbiIoKIhWrVoxd+7cC/q9TE9PZ/DgwYSEhBAWFsaQIUPIyspyvr9hwwauvvpqQkNDCQsLo2vXrqxZswaA/fv3M2jQIBo0aEBwcDAdOnRg/vz5FzS+N9MZ5UWICApgzb6TlFptZJwooklDPfMl4gpFZVbaP73QkLG3PDuAoIBz/xX56quvsmPHDjp27Mizzz4LOM4I9+3bB8ATTzzBSy+9RPPmzWnQoAEZGRlcf/31PPfcc5jNZmbNmsWgQYPYvn07TZo0qXacZ555hhdffJF//OMfvP766wwbNoz9+/cTGRl5zhptNpszJJcuXUp5eTkPPPAAt912G0uWLAFg2LBhdO7cmbfeegtfX1/S0tLw9/cH4IEHHqC0tJRly5YRHBzMli1bCAkJOee4dYWC8iIE+PnQNi6UjQdy2HQwR0EpUo+Fh4cTEBBAUFAQsbGxZ7z/7LPP0r9/f+fXkZGRpKamOr/+29/+xpw5c5g7dy5jxoypdpyRI0dyxx13ADBp0iRee+01Vq1axXXXXXfOGhcvXsymTZvYu3cviYmJAMyaNYsOHTqwevVqLrvsMtLT03nsscdo27YtAK1atXJ+Pj09nVtuuYXk5GQAmjdvfs4x6xIF5UXq2DicjQdy2HgwmxtS4owuR6ROCvT3ZcuzAwwbuzZ069atytf5+flMnDiRefPmkZmZSXl5OUVFRaSnp9f4fVJSUpyvg4ODCQsL48iRI+dVw9atW0lMTHSGJED79u2JiIhg69atXHbZZYwdO5Z77rmHf//73/Tr149bb72VFi1aAPDQQw9x3333sWjRIvr168ctt9xSpZ66TvcoL1Jy43AAfjmYY3AlInWXyWQiKMDPkK22GvV+3b06btw45syZw6RJk/jhhx9IS0sjOTmZ0tLSGr9P5WXQ039vbDZbrdQIMHHiRDZv3swNN9zAd999R/v27ZkzZw4A99xzD3v27GH48OFs2rSJbt268frrr9fa2J5OQXmRKoNy04EcNfSI1HMBAQHnvSzYihUrGDlyJDfddBPJycnExsY672e6Srt27cjIyCAjI8O5b8uWLWRnZ9O+fXvnvtatW/Poo4+yaNEibr75Zt5//33ne4mJidx77718+eWX/OlPf2LatGkurdmTKCgvUuuYUAJ8fcgtLif9hJYEEqnPkpKS+Pnnn9m3bx/Hjh2r8UyvVatWfPnll6SlpbFhwwaGDh1aq2eGZ9OvXz+Sk5MZNmwY69atY9WqVYwYMYLf/OY3dOvWjaKiIsaMGcOSJUvYv38/K1asYPXq1bRr1w6ARx55hIULF7J3717WrVvH999/73yvPlBQXqQAPx/axYUCsEmXX0XqtXHjxuHr60v79u2Jjo6u8X7jK6+8QoMGDbjiiisYNGgQAwYMoEuXLi6tz2Qy8fXXX9OgQQOuuuoq+vXrR/PmzZk9ezbgWOD4+PHjjBgxgtatWzNkyBAGDhzIM888A4DVauWBBx6gXbt2XHfddbRu3Zo333zTpTV7EpO9nl03zM3NJTw8nJycHMLCwi7pez05ZxMf/pzOH69qzvjr68+/rkRcobi4mL1799KsWbOLXg5J5Ndq+v/qfPNAZ5SXwHmfUmeUIiJ1lqFBuWzZMgYNGkR8fDwmk4mvvvrqnJ8pKSnhySefpGnTppjNZpKSkpg+fbrriz2L5IRTQVnPTsxFROoNQ5+jLCgoIDU1lbvuuoubb775vD5TOe3Se++9R8uWLcnMzHT5jfDqtI4JJcDPh7zicvYfLyQpSpMYi4jUNYYG5cCBAxk4cOB5H79gwQKWLl3Knj17nNM2JSUluai6c/P39aFdbCgbKmboUVCKiNQ9XnWPcu7cuXTr1o0XX3yRxo0b07p1a8aNG0dRUVG1nykpKSE3N7fKVpsqL79q4gERkbrJq6aw27NnD8uXL8disTBnzhyOHTvG/fffz/Hjx6s8GHu6yZMnO1ucXaGyoWfjAQWliEhd5FVnlDabDZPJxIcffkj37t25/vrreeWVV5g5c2a1Z5Xjx48nJyfHuZ0+M0Vt6Fg5ld2hHGw2NfSIiNQ1XhWUcXFxNG7cmPDwcOe+du3aYbfbOXDgwFk/YzabCQsLq7LVpioNPZqhR0SkzvGqoOzVqxeHDh0iPz/fuW/Hjh34+PiQkJBgSE3+vj60i3OEr56nFBGpewwNyvz8fNLS0khLSwNg7969pKWlOad/Gj9+PCNGjHAeP3ToUBo2bMioUaPYsmULy5Yt47HHHuOuu+4iMDDQiB8BgBStJCIilygpKYkpU6Y4vz7Xs+X79u3DZDI5//68WLX1fc5l5MiR3HjjjS4dw1UMbeZZs2YNV199tfPrsWPHAnDnnXcyY8YMMjMzq8yZGBISwjfffMODDz5It27daNiwIUOGDOHvf/+722s/3amGnmxD6xCRuiMzM5MGDRrU6vccOXIk2dnZVQI4MTGRzMxMoqKianWsusTQoOzTp0+NM9rMmDHjjH1t27blm2++cWFVF66yoWfzwVxsNjs+PrWzjp2I1F+xsbFuGcfX19dtY3krr7pH6alaxYRg9vMhr0QNPSK1ym6H0gJjtvOclvKdd94hPj7+jBnCBg8ezF133QXA7t27GTx4MDExMYSEhHDZZZfx7bff1vh9f33pddWqVXTu3BmLxUK3bt1Yv359leOtVit33303zZo1IzAwkDZt2vDqq6863584cSIzZ87k66+/xmQyYTKZWLJkyVkvvS5dupTu3btjNpuJi4vjiSeeoLy83Pl+nz59eOihh3j88ceJjIwkNjaWiRMnntfvV6WSkhIeeughGjVqhMVioXfv3qxevdr5/smTJxk2bBjR0dEEBgbSqlUr52OApaWljBkzhri4OCwWC02bNmXy5MkXNP6F8KrnKD1VZUNPWkY2Gw9k00wz9IjUjrJCmBRvzNh/OQQB5/6zfOutt/Lggw/y/fff07dvXwBOnDjBggULmD9/PuDox7j++ut57rnnMJvNzJo1i0GDBrF9+3aaNGlyzjHy8/P57W9/S//+/fnggw/Yu3cvDz/8cJVjbDYbCQkJfPbZZzRs2JAff/yRP/zhD8TFxTFkyBDGjRvH1q1byc3NdQZOZGQkhw4dqvJ9Dh48yPXXX8/IkSOZNWsW27ZtY/To0VgsliphOHPmTMaOHcvPP//MypUrGTlyJL169aJ///7n/HkAHn/8cb744gtmzpxJ06ZNefHFFxkwYAC7du0iMjKSp556ii1btvC///2PqKgodu3a5XwM8LXXXmPu3Ll8+umnNGnS5IxFqWubgrKWJDcOJy0jm18O5jC4U2OjyxERN2nQoAEDBw7ko48+cgbl559/TlRUlLMHIzU1ldTUVOdn/va3vzFnzhzmzp3LmDFjzjnGRx99hM1m47333sNisdChQwcOHDjAfffd5zzG39+/yuQqzZo1Y+XKlXz66acMGTKEkJAQAgMDKSkpqfFS65tvvkliYiJvvPEGJpOJtm3bcujQIf785z/z9NNP4+PjuBCZkpLChAkTAMdi1G+88QaLFy8+r6AsKCjgrbfeYsaMGc5pTKdNm8Y333zDe++9x2OPPUZ6ejqdO3emW7duQNXpStPT02nVqhW9e/fGZDLRtGnTc455KRSUteT0lUREpJb4BznO7Iwa+zwNGzaM0aNH8+abb2I2m/nwww+5/fbbnaGSn5/PxIkTmTdvHpmZmZSXl1NUVFTjAs+n27p1KykpKVXWU+zZs+cZx02dOpXp06eTnp5OUVERpaWldOrU6bx/jsqxevbsicl0qteiV69e5Ofnc+DAAecZcEpKSpXPxcXFceTIkfMaY/fu3ZSVldGrVy/nPn9/f7p3787WrVsBuO+++7jllltYt24d1157LTfeeCNXXHEF4GhK6t+/P23atOG6667jt7/9Lddee+0F/ZwXQvcoa0my8xGRXM3QI1JbTCbH5U8jNtP5N+UNGjQIu93OvHnzyMjI4IcffmDYsGHO98eNG8ecOXOYNGkSP/zwA2lpaSQnJ1NaWlprv1WffPIJ48aN4+6772bRokWkpaUxatSoWh3jdP7+/lW+NplMtbqS08CBA9m/fz+PPvoohw4dom/fvowbNw6ALl26sHfvXv72t79RVFTEkCFD+P3vf19rY/+agrKWtGrkaOjJLyln3/ECo8sRETeyWCzcfPPNfPjhh3z88ce0adOGLl26ON9fsWIFI0eO5KabbiI5OZnY2Fj27dt33t+/Xbt2bNy4keLiYue+n376qcoxK1as4IorruD++++nc+fOtGzZkt27d1c5JiAgAKvVes6xVq5cWeWJhBUrVhAaGlprE7u0aNGCgIAAVqxY4dxXVlbG6tWrad++vXNfdHQ0d955Jx988AFTpkzhnXfecb4XFhbGbbfdxrRp05g9ezZffPEFJ06cqJX6fk1BWUv8fH1oH68ZekTqq2HDhjFv3jymT59e5WwSHPfwvvzyS9LS0tiwYQNDhw69oLOvoUOHYjKZGD16NFu2bGH+/Pm89NJLZ4yxZs0aFi5cyI4dO3jqqaeqdJGC4z7fxo0b2b59O8eOHaOsrOyMse6//34yMjJ48MEH2bZtG19//TUTJkxg7NixzkvJlyo4OJj77ruPxx57jAULFrBlyxZGjx5NYWEhd999NwBPP/00X3/9Nbt27WLz5s3897//pV27dgC88sorfPzxx2zbto0dO3bw2WefERsbS0RERK3U92sKylpUefl1k1YSEal3rrnmGiIjI9m+fTtDhw6t8t4rr7xCgwYNuOKKKxg0aBADBgyocsZ5LiEhIfznP/9h06ZNdO7cmSeffJIXXnihyjF//OMfufnmm7ntttvo0aMHx48f5/77769yzOjRo2nTpg3dunUjOjq6yhldpcaNGzN//nxWrVpFamoq9957L3fffTd//etfL+B349yef/55brnlFoYPH06XLl3YtWsXCxcudE6yEBAQwPjx40lJSeGqq67C19eXTz75BIDQ0FBefPFFunXrxmWXXca+ffuYP39+rQX5r5nsNT3xXwfl5uYSHh5OTk5OrU+Q/umaDB7/fCM9mkUy+49n3mgXkeoVFxezd+9emjVrVqVpReRS1PT/1fnmgc4oa1FKRefr5kNq6BERqSsUlLWoZXQIFn9HQ89eNfSIiNQJCspa5OfrQ/uKJbe0koiISN2goKxlp1YSUVCKiNQFCspaVrmSiB4REbk49ay/UFysNv5/UlDWspSECAA2H8xRQ4/IBaic6aWwUCvwSO2p/P/p1zMJXQjN9VrLWkQHY/H3oaDUyp5jBbRsFGJ0SSJewdfXl4iICOd8oUFBQVXmGxW5EHa7ncLCQo4cOUJERAS+vr4X/b0UlLWssqFnXbpjJREFpcj5q1zV4nwn1xY5l4iIiEtemFpB6QIpCRGsS89m44EcbuysJbdEzpfJZCIuLo5GjRqddXo1kQvh7+9/SWeSlRSULtDRuZKIGnpELoavr2+t/AUnUhvUzOMClY+IbD6Ug1UNPSIiXk1B6QItooMJ9PeloNTK3mP5RpcjIiKXQEHpAlpyS0Sk7lBQusipJbdyDa5EREQuhYLSRZxBeTDb2EJEROSSKChdJPm0JbfU0CMi4r0UlC7SIjqEQH9fCtXQIyLi1RSULuLrY6JDRUOPVhIREfFeCkoX0koiIiLeT0HpQikJlZ2vCkoREW+loHShUzP0qKFHRMRbKShdqHl0CEEBvhSVWdlzVA09IiLeSEHpQmroERHxfgpKF1NDj4iId1NQulhlQ4+W3BIR8U4KShdTQ4+IiHczNCiXLVvGoEGDiI+Px2Qy8dVXX533Z1esWIGfnx+dOnVyWX21oVnUqYae3WroERHxOoYGZUFBAampqUydOvWCPpednc2IESPo27eviyqrPb4+JjrG63lKERFv5Wfk4AMHDmTgwIEX/Ll7772XoUOH4uvre0FnoUbp2DicVftOsOlgDrd0TTC6HBERuQBed4/y/fffZ8+ePUyYMOG8ji8pKSE3N7fK5m7JCVrEWUTEW3lVUO7cuZMnnniCDz74AD+/8zsZnjx5MuHh4c4tMTHRxVWeKblxBABbDuVSbrW5fXwREbl4XhOUVquVoUOH8swzz9C6devz/tz48ePJyclxbhkZGS6s8uyaRwUT7GzoKXD7+CIicvEMvUd5IfLy8lizZg3r169nzJgxANhsNux2O35+fixatIhrrrnmjM+ZzWbMZrO7y63Cx8dEh/hT9ynbxIYaWo+IiJw/rwnKsLAwNm3aVGXfm2++yXfffcfnn39Os2bNDKrs/CQnVATlgWx+r4YeERGvYWhQ5ufns2vXLufXe/fuJS0tjcjISJo0acL48eM5ePAgs2bNwsfHh44dO1b5fKNGjbBYLGfs90TJmspORMQrGRqUa9as4eqrr3Z+PXbsWADuvPNOZsyYQWZmJunp6UaVV6uSK6ay25LpaOjx8/Wa28MiIvWayW6316t51XJzcwkPDycnJ4ewsDC3jWuz2Ul5ZhH5JeUseORK2sa6b2wRETnT+eaBTmvcxMfHRPuKJbc0Q4+IiPdQULpRSmOtJCIi4m0UlG5UeZ9yo4JSRMRrKCjdqHIR562ZmqFHRMRbKCjdqFnDYELMfhSX2dilJbdERLyCgtKNHDP0OBp6NqqhR0TEKygo3SxZDT0iIl5FQelmzoYenVGKiHgFBaWbJauhR0TEqygo3SypYTChZj9Kym3sPKKGHhERT6egdDMfHxMdGmuGHhERb6GgNIBWEhER8R4KSgMkJ0QACkoREW+goDRA5RnllsxcytTQIyLi0RSUBmgaGUSo2Y/Schs7s9TQIyLiyRSUBvDxMTnnfdXEAyIink1BaZBTK4lkG1uIiIjUSEFpkI7OztdcgysREZGaKCgNknLaDD1q6BER8VwKSoM0bRhEqMXR0LMjK8/ockREpBoKSoOYTCatJCIi4gUUlAaqDEqtJCIi4rkUlAbSIyIiIp5PQWmglIpHRLYezqO0XA09IiKeSEFpoCaRQYSpoUdExKMpKA1kMmmGHhERT6egNFjlDD1aSURExDMpKA2mtSlFRDybgtJglUG5LVMNPSIinkhBaTBnQ49VDT0iIp5IQWkwk8mk+5QiIh5MQekBOuo+pYiIx1JQeoCUxhEAbNJUdiIiHkdB6QEqG3q2a4YeERGPo6D0AImRgYQH+quhR0TEAxkalMuWLWPQoEHEx8djMpn46quvajz+yy+/pH///kRHRxMWFkbPnj1ZuHChe4p1odOX3NJKIiIinsXQoCwoKCA1NZWpU6ee1/HLli2jf//+zJ8/n7Vr13L11VczaNAg1q9f7+JKXU8NPSIinsnPyMEHDhzIwIEDz/v4KVOmVPl60qRJfP311/znP/+hc+fOtVyde1WuJKI5X0VEPIuhQXmpbDYbeXl5REZGVntMSUkJJSUlzq9zc3PdUdoFc87QcziXknIrZj9fgysSERHw8mael156ifz8fIYMGVLtMZMnTyY8PNy5JSYmurHC85fQwNHQU2a1s+NwvtHliIhIBa8Nyo8++ohnnnmGTz/9lEaNGlV73Pjx48nJyXFuGRkZbqzy/JlMJufl140Hs40tRkREnLzy0usnn3zCPffcw2effUa/fv1qPNZsNmM2m91U2aXp2DicH3Ye031KEREP4nVnlB9//DGjRo3i448/5oYbbjC6nFqlJbdERDyPoWeU+fn57Nq1y/n13r17SUtLIzIykiZNmjB+/HgOHjzIrFmzAMfl1jvvvJNXX32VHj16cPjwYQACAwMJDw835GeoTafP0KOGHhERz2DoGeWaNWvo3Lmz89GOsWPH0rlzZ55++mkAMjMzSU9Pdx7/zjvvUF5ezgMPPEBcXJxze/jhhw2pv7YlNAgkIsjR0LP9sGboERHxBIaeUfbp0we73V7t+zNmzKjy9ZIlS1xbkMEqZ+j5YecxNh3MISUhwuiSRETqPa+7R1nXOe9Taio7ERGPoKD0MGroERHxLApKD5Nc8Szljqw8isusBlcjIiIKSg/TOCKQBmroERHxGApKD2MymbSSiIiIB1FQeqDKqezU0CMiYjwFpQdSQ4+IiOdQUHqgykuvaugRETGegtIDNY4IJDI4gHKbnW1q6BERMZSC0gOpoUdExHMoKD1USkVQ/qKGHhERQykoPVTlGeVGnVGKiBhKQemhKmfo2amGHhERQykoPVR8uIWGaugRETGcgtJDVWnoOZBtbDEiIvWYgtKDaeIBERHjKSg9WOV9yo3qfBURMYyC0oNVnlHuPJKvhh4REYMoKD1YXEVDj9VmZ2tmrtHliIjUSwpKD2YymZyXX3WfUkTEGApKD+ds6NF9ShERQygoPZw6X0VEjKWg9HDOGXrU0CMiYggFpYeLDbMQFeJo6Nmihh4REbdTUHo4k8nkvPz6iy6/ioi4nYLSC1QGpSYeEBFxPwWlF+ioM0oREcMoKL1ASkIEADuy8igqVUOPiIg7KSi9QEyYmagQMzY7augREXEzBaUXcDT0hAG6/Coi4m4KSi+RXHH5VQ09IiLupaD0EnpERETEGApKL5HinKFHDT0iIu6koPQSMWEWokMrG3p0Viki4i4KSi+ilURERNzP0KBctmwZgwYNIj4+HpPJxFdffXXOzyxZsoQuXbpgNptp2bIlM2bMcHmdnuLUSiJ6RERExF0MDcqCggJSU1OZOnXqeR2/d+9ebrjhBq6++mrS0tJ45JFHuOeee1i4cKGLK/UMp4Iy29hCRETqET8jBx84cCADBw487+PffvttmjVrxssvvwxAu3btWL58Of/85z8ZMGCAq8r0GJVLbu06kk9haTlBAYb+5xMRqRe86h7lypUr6devX5V9AwYMYOXKldV+pqSkhNzc3Cqbt4oJs9CosqHnkPf+HCIi3sSrgvLw4cPExMRU2RcTE0Nubi5FRUVn/czkyZMJDw93bomJie4o1WVOXX5VQ4+IiDt4VVBejPHjx5OTk+PcMjIyjC7pknRUUIqIuJVX3eSKjY0lKyuryr6srCzCwsIIDAw862fMZjNms9kd5blF5cQDekRERMQ9vOqMsmfPnixevLjKvm+++YaePXsaVJH7VV563X3U0dAjIiKuZWhQ5ufnk5aWRlpaGuB4/CMtLY309HTAcdl0xIgRzuPvvfde9uzZw+OPP862bdt48803+fTTT3n00UeNKN8QjdTQIyLiVoYG5Zo1a+jcuTOdO3cGYOzYsXTu3Jmnn34agMzMTGdoAjRr1ox58+bxzTffkJqayssvv8y7775bLx4NOV3l5VetJCIi4nqG3qPs06cPdru92vfPNutOnz59WL9+vQur8nwdG4fz7dYjWklERMQNLuqMsqioiMLCQufX+/fvZ8qUKSxatKjWCvN4hzfB+g8NGdrZ0KOgFBFxuYsKysGDBzNr1iwAsrOz6dGjBy+//DKDBw/mrbfeqtUCPdKRbfB2b/jvI1B4wu3DVz4isutoPgUlaugREXGliwrKdevWceWVVwLw+eefExMTw/79+5k1axavvfZarRbokRq1hZhksJbCps/dP3yohZgwM3Y7bMlUQ4+IiCtdVFAWFhYSGhoKwKJFi7j55pvx8fHh8ssvZ//+/bVaoMfq/H+OX9M+MGT45MYRgBp6RERc7aKCsmXLlnz11VdkZGSwcOFCrr32WgCOHDlCWFhYrRbosZJvBR9/yNzguF/p7uErLr+qoUdExLUuKiiffvppxo0bR1JSEj169HA+8L9o0SLnox51XnBDaFOx8okBTT3JCY5/kKihR0TEtS4qKH//+9+Tnp7OmjVrWLBggXN/3759+ec//1lrxXm8zsMdv26cDeWlbh2642kz9OSroUdExGUuOCjLysrw8/Pj2LFjdO7cGR+fU9+ie/futG3btlYL9GgtroGQWCg6ATv+59ahG4VaiA2zOBp6NEOPiIjLXHBQ+vv706RJE6xWqyvq8S6+fpB6u+O1AZdftZKIiIjrXdSl1yeffJK//OUvnDjh/mcIPU5l9+uubyA3061Dn1pJJNut44qI1CcXNYXdG2+8wa5du4iPj6dp06YEBwdXeX/dunW1UpxXiGoFiT0g42fY+An0dt8E7VrEWUTE9S4qKG+88cZaLsPLdRrmCMr1H0KvR8BkcsuwlZde9xwrIL+knBCzVy0vKiLiFS7qb9YJEybUdh3ercNNsOAJOL4TDqyGxO5uGTY61ExcuIXMnGI2H8yhR/OGbhlXRKQ+uaRlttauXcsHH3zABx98UL9X9LCEQfvBjtfr/+3WodXQIyLiWhcVlEeOHOGaa67hsssu46GHHuKhhx6ia9eu9O3bl6NHj9Z2jd6h0zDHr7/MgdICtw2boqAUEXGpiwrKBx98kLy8PDZv3syJEyc4ceIEv/zyC7m5uTz00EO1XaN3aNoLGiRBaR5s/Y/bhu2oJbdERFzqooJywYIFvPnmm7Rr1865r3379kydOpX//c+9D957DB+fU2eV6903UXpl5+veYwXkFZe5bVwRkfriooLSZrPh7+9/xn5/f39sNtslF+W1Uu8ATLDvBzix1y1DRoWYiQ93zNCzWTP0iIjUuosKymuuuYaHH36YQ4cOOfcdPHiQRx99lL59+9ZacV4nIhGa93G83vCx24btqJVERERc5qKC8o033iA3N5ekpCRatGhBixYtaNasGbm5ubz++uu1XaN3ca5T+RG46exaEw+IiLjORT1HmZiYyLp16/j222/Ztm0bAO3ataNfv361WpxXansDWMIhJwP2LoUWV7t8yGTnVHYKShGR2nbBQVlWVkZgYCBpaWn079+f/v37u6Iu7+UfCB1/D2veg7QP3ROUp83Qk1dcRqjlzPvHIiJycbR6iCt0ruh+3fofKMp2+XANQ8w0jggE1NAjIlLbtHqIK8R3gUbtobwYfvnCLUN2bBwG6PKriEht0+ohrmAyOZ6pXPSk4/LrZXe7fMjkxuEs3Jylhh4RkVqm1UNcJeU2+HYCHFwLR7ZCo3bn/swlSE6IANT5KiJS2y44KMvLyzGZTNx1110kJCS4oqa6ISQaWl8H2/7rmKlnwHMuHe70GXpyi8sIU0OPiEituOB7lH5+fvzjH/+gvLzcFfXULZVT2m2cDVbXTi8XGRxwqqHnoBp6RERqy0XPzLN06dLarqXuadUfgqOh4CjsXOTy4U5NPJDt8rFEROqLi7pHOXDgQJ544gk2bdpE165dz2jm+d3vflcrxXk9X39IvR1+fB3Wf+iYjMCFkhPCWbD5MJt0RikiUmsuKijvv/9+AF555ZUz3jOZTHrG8nSd/s8RlDsWQP4RCGnksqE056uISO276NVDqtsUkr/SqC007gp2q+NepQv9uqFHREQu3QUF5fXXX09Ozqmzleeff57s7Gzn18ePH6d9+/a1VlydUTlR+voPwG532TCnN/TorFJEpHZcUFAuXLiQkpIS59eTJk2qMjtPeXk527dvr73q6oqOt4CfBY5ug4OunYwhJUGXX0VEatMFBaX9V2dDv/5aqmEJh3YVDU5pH7h0qMr7lBs1lZ2ISK24qHuUchEqJ0rf9AWUFblsmGQ19IiI1KoLCkqTyYTJZDpj36WaOnUqSUlJWCwWevTowapVq2o8fsqUKbRp04bAwEASExN59NFHKS4uvuQ6XCrpKghvAiU5sPW/LhumMij3HS8kp1ANPSIil+qCHg+x2+2MHDkSs9kMQHFxMffee6/zOcrT71+er9mzZzN27FjefvttevTowZQpUxgwYADbt2+nUaMzH6X46KOPeOKJJ5g+fTpXXHEFO3bsYOTIkZhMprM+ruIxfHyg01BY+rzj8mvKrS4ZpkFwAM2jgtlzrIDZa9L5w1UtXDKOiEh9YbJfwI3GUaNGnddx77///nkX0KNHDy677DLeeOMNwPHoSWJiIg8++CBPPPHEGcePGTOGrVu3snjxYue+P/3pT/z8888sX778jONLSkqqBHhubi6JiYnk5OQQFhZ23nXWipP74NVUwASPbISIJi4Z5rM1GTz2+UZCLX4sfexqIoMDXDKOiIg3y83NJTw8/Jx5cEFnlBcSgOejtLSUtWvXMn78eOc+Hx8f+vXrx8qVK8/6mSuuuIIPPviAVatW0b17d/bs2cP8+fMZPnz4WY+fPHkyzzzzTK3WfdEaJEHSlbDvB0j7GPr82SXD3Nwlgekr9rE1M5fXFu9k4u86uGQcEZH6wNBmnmPHjmG1WomJiamyPyYmhsOHD5/1M0OHDuXZZ5+ld+/e+Pv706JFC/r06cNf/vKXsx4/fvx4cnJynFtGRkat/xwXpHNFoKd9CDabS4bw9THx1xscy3p98NN+9hzNd8k4IiL1gdd1vS5ZsoRJkybx5ptvsm7dOr788kvmzZvH3/72t7MebzabCQsLq7IZqt0gMIdB9n7Yv8Jlw/RqGcU1bRtRbrPz/P+2uWwcEZG6ztCgjIqKwtfXl6ysrCr7s7KyiI2NPetnnnrqKYYPH84999xDcnIyN910E5MmTWLy5MnYXHSGVqsCgqDDTY7X6137TOVfrm+Lr4+JRVuy+GnPcZeOJSJSVxkalAEBAXTt2rVKY47NZmPx4sX07NnzrJ8pLCzEx6dq2b6+voAXTYBQefl1y9dQ7LqVPlo2CuWO7okAPDdvKzabl/z+iIh4EMMvvY4dO5Zp06Yxc+ZMtm7dyn333UdBQYGzw3bEiBFVmn0GDRrEW2+9xSeffMLevXv55ptveOqppxg0aJAzMD1eQjeIag3lRbD5S5cO9Ui/1oSY/dh0MIevNxx06VgiInXRRS2zVZtuu+02jh49ytNPP83hw4fp1KkTCxYscDb4pKenVzmD/Otf/4rJZOKvf/0rBw8eJDo6mkGDBvHcc88Z9SNcOJMJOg2Dbyc41qnsOtJlQ0WFmLn/6ha8uGA7/1iwnYEd47D4e8k/KEREPMAFPUdZF5zvczMul3cYXmnvWH7rgdUQ3dplQxWXWen78lIOZhfx2IA2PHB1S5eNJSLiLc43Dwy/9FpvhcZCq/6O1y6eKN3i78tjA9oA8Ob3uziad+EzKImI1FcKSiN1qpgofcMnYC136VC/S40nJSGcglIr//x2h0vHEhGpSxSURmp9HQQ1hPws2L343MdfAh8fE3+9wbGo9ier0tmZlefS8URE6goFpZH8AiDlNsfr9f92+XDdm0UyoEMMNjtMmr/V5eOJiNQFCkqjVV5+3b4AClw/KcATA9vh52Pi++1HWb7zmMvHExHxdgpKo8V2hLhOYCuDTZ+6fLhmUcEM79kUgL/P24JVkxCIiNRIQekJOv+f49f1H4AbntZ56JpWhFn82HY4jy/WHnD5eCIi3kxB6Qk63gK+Zsj6BTI3uHy4BsEBPHhNKwBeWrSdghLXdtyKiHgzBaUnCIqEtjc4Xqd96JYhR1zRlCaRQRzJK+GdZXvcMqaIiDdSUHqKzhVNPRs/hbJilw9n9vPlz9e1BeCdZXvIynX9mCIi3khB6SmaXw1hjaE4G7bPd8uQ1yfH0rVpA4rKrLy8aLtbxhQR8TYKSk/h4wupdzheu+nyq8lk4skb2gHw2doDbDnkuiW/RES8lYLSk3Qa6vh112LIcc+SWF2aNOC3KXHYKyYhqGdz5IuInJOC0pM0bAFNewF22PCx24b983VtCfD1YfmuYyzZftRt44qIeAMFpaepnKkn7UO3PFMJkBgZxMheSQA8N38r5VabW8YVEfEGCkpP034w+AfDiT2QvtJtwz5wdUsaBPmz60g+n6zOcNu4IiKeTkHpacwh0PEmx+v17mnqAQgP9Ofhvo5JCKZ8u4O84jK3jS0i4skUlJ6oU8WUdpvnQEm+24YddnlTmkcFcyy/lLeX7nbbuCIinkxB6YmaXA6RLaCsALZ85bZh/X19eGKgYxKCd3/Yy6HsIreNLSLiqRSUnshkOjVTjxsvvwL0bx9Dj2aRlJTb+MdCTUIgIqKg9FSpd4DJB9J/hOPuuwxqMpn46w3tAZiz/iAbD2S7bWwREU+koPRUYfHQ4hrHazfN1FMpOSGcmzs3BuDv8zQJgYjUbwpKT1a5TmXax2CzunXocQPaYPbzYdXeEyzakuXWsUVEPImC0pO1uR4CG0DeIdj9vVuHjo8I5J4rmwHw/P+2UaZJCESknlJQejI/MyTf6nid9oHbh7+vT0uiQgLYe6yAD3/a7/bxRUQ8gYLS01Veft02DwpPuHXoELMfj/ZvDcCri3eSU6RJCESk/lFQerq4VIhJBmspbPrc7cPf1i2RVo1COFlYxtTvd7l9fBERoykovYGzqcf9l1/9fH34S8WalTNW7CPjRKHbaxARMZKC0hsk3wo+/pC5AQ5vcvvwfVpHc2WrKEqtNp5fsM3t44uIGElB6Q2CG0KbgY7Xbp6pBxyTEIwf2A6TCeZtzGTt/pNur0FExCgKSm/Rebjj102fQnmp24dvHx/GrV0TAHhu3hZNQiAi9YaC0lu0uAZCYqHwOOxYYEgJf7q2DYH+vqxLz2b+psOG1CAi4m4KSm/h6weptzter3d/Uw9ATJiFP/6mOQDPL9hKSbl7ZwsSETGCgtKbVHa/7voG8ow5o/vDVc2JCTOTcaKIWT9qEgIRqfsUlN4kqhUk9gC7DTZ8YkgJQQF+/OnaNgC8/t1OTha4/36piIg7eURQTp06laSkJCwWCz169GDVqlU1Hp+dnc0DDzxAXFwcZrOZ1q1bM3/+fDdVa7BOletUfgAGNdTc0iWBdnFh5BaX8+rinYbUICLiLoYH5ezZsxk7diwTJkxg3bp1pKamMmDAAI4cOXLW40tLS+nfvz/79u3j888/Z/v27UybNo3GjRu7uXKDdLgJ/IPg+E44sNqQEnx9TDx5vWMSgg9+2s+eo/mG1CEi4g6GB+Urr7zC6NGjGTVqFO3bt+ftt98mKCiI6dOnn/X46dOnc+LECb766it69epFUlISv/nNb0hNTXVz5QaxhEH7wY7X6/9tWBm9W0VxdZtoym12XtAkBCJShxkalKWlpaxdu5Z+/fo59/n4+NCvXz9Wrlx51s/MnTuXnj178sADDxATE0PHjh2ZNGkSVuvZOzBLSkrIzc2tsnm9ysuvv8yB0gLDyvjL9e3w9TGxcHMWP+85blgdIiKuZGhQHjt2DKvVSkxMTJX9MTExHD589q7OPXv28Pnnn2O1Wpk/fz5PPfUUL7/8Mn//+9/PevzkyZMJDw93bomJibX+c7hd017QIAlK82Drfwwro1VMKLdf5vj9fG7+Vmw2TUIgInWP4ZdeL5TNZqNRo0a88847dO3aldtuu40nn3ySt99++6zHjx8/npycHOeWkZHh5opdwMenalOPgR7t35oQsx8bD+Qwd8MhQ2sREXEFQ4MyKioKX19fsrKyquzPysoiNjb2rJ+Ji4ujdevW+Pr6Ove1a9eOw4cPU1p65qMKZrOZsLCwKludkHoHYIJ9P8CJvYaVERVi5r4+LQB4ccE2iss0CYGI1C2GBmVAQABdu3Zl8eLFzn02m43FixfTs2fPs36mV69e7Nq1C5vN5ty3Y8cO4uLiCAgIcHnNHiMiEZr3cbze8LGhpdzduxmNIwI5lFPMe8uNC20REVcw/NLr2LFjmTZtGjNnzmTr1q3cd999FBQUMGrUKABGjBjB+PHjncffd999nDhxgocffpgdO3Ywb948Jk2axAMPPGDUj2Ac5zqVH8Fp/3BwN4u/L48NcExC8NaS3RzLLzGsFhGR2mZ4UN5222289NJLPP3003Tq1Im0tDQWLFjgbPBJT08nMzPTeXxiYiILFy5k9erVpKSk8NBDD/Hwww/zxBNPGPUjGKftDWAJh5wM2LvU0FJ+lxpPSkI4+SXlTPl2h6G1iIjUJpO9nq2XlJubS3h4ODk5OXXjfuV/x8Ka9xyLO9/yrqGl/LznOLe985PjkZFHrqRlo1BD6xERqcn55oHhZ5RyiTpXdL9u/Q8UZRtaSo/mDbm2fQxWm51J8zUJgYjUDQpKbxffBRq1h/Ji+OULo6vhiYFt8fMx8d22I6zYdczockRELpmC0tuZTKeeqUz70NhagObRIfzf5U0B+Pu8rVg1CYGIeDkFZV2Qchv4+MHBtXBkq9HV8HDfVoRZ/NiamcsX6w4YXY6IyCVRUNYFIdHQ+jrHa4Nn6gFoEBzAg9e0AuClhdspLC03uCIRkYunoKwrKi+/bpwN1jJjawFGXNGUxMhAjuSVMG2ZJiEQEe+loKwrWvWH4GgoOAo7FxldDWY/X/58XVsA/rVsN0dyiw2uSETk4igo6wpff0i93fF6vfFNPQA3JMfRpUkEhaVWXl6kSQhExDspKOuSThVT2u1cCPlHjK0FMJlMPHlDewA+XZvB1sw6sBaoiNQ7Csq6pFFbaNwVbOWOe5UeoGvTBtyQEofdDpPmb6WeTQQlInWAgrKuqZwoff0H4CGh9MR1bQnw9eGHncdYsuOo0eWIiFwQBWVd0/EW8LPA0W3ww0tGVwNAYmQQI3slATBp3lbKrcatdCIicqEUlHWNJRyuftLx+ru/w5LnPeLM8oE+LYkI8mfnkXw+XaNJCETEeygo66JeD0G/iY7XSyY7AtPgsAwP8ufhvo5JCF75Zjs5hcY/6ykicj4UlHVV70fh2uccr394Cb6dYHhY/t/lTWkeFcyx/FJuemsF+44VGFqPiMj5UFDWZVeMgetecLxe8SosfNLQsPT39WHqsC7EhVvYc7SAwVNX8ONurTAiIp5NQVnXXX4v3PCy4/VPU+F/fzY0LNvFhfH1mF50Sowgp6iMEe+t4sOf9xtWj4jIuSgo64PL7oFBrwImWPUvmPcnsBnXedoo1MInf7icwZ3iKbfZeXLOL0ycu1ndsCLikRSU9UXXkTB4KmCCNe/Bfx82NCwt/r5Mua0T465tDcCMH/dx18w15BSpyUdEPIuCsj7pPAxu+heYfGDdLJg7BmxWw8oxmUyMuaYVbw3rQqC/L8t2HOXmN9XkIyKeRUFZ36TeBjdPA5MvpH0IX90HVmPXixyYHMdn9/YkNszC7qMF3PimmnxExHMoKOuj5N/D76eDj59jTtg5fzA8LDs2DmfumF6kJkaQXeho8vno53RDaxIRAQVl/dXhRrh1Jvj4wy9fwOejDF/wuVGYhdl/uJxBqY4mn7/M2cQz/1GTj4gYS0FZn7X7Ldz2AfgGwNa58NlIKC81tCSLvy+v3d6JP/V3NPm8v8LR5JNbrCYfETGGgrK+a3Md3P4R+Jph23/h0+FQXmJoSSaTiQf7Opp8LP4+FU0+P7L/uJp8RMT9FJQCrfrDHR87Vh3ZsQA+GQplRUZXxcDkOD6/9wpiwyzsOpLP4KkrWLn7uNFliUg9o6AUh5Z9Yein4B8Eu76Fj2+H0kKjqzrV5JMQTnZhGcPf+5lPVqnJR0TcR0EppzT/DQz7HPyDYc8S+GgIlBp/ubNRmIXZf+zpbPJ54stNPPufLVhtxi8fJiJ1n4JSqkrqBcO/hIBQ2PcDfHgrlOQZXZWzyWdsRZPP9BV7uXvmajX5iIjLKSjlTE0uh+FzwBwG+1fAB7dAca7RVWEymXiobyverGjyWbJdTT4i4noKSjm7xMtgxNdgCYeMn+HfN0FRttFVAXB9chyf/fFUk8+NU1fw0x41+YiIaygopXqNu8Cd/4HABnBwDfz7Rig8YXRVACQnhPN1RZPPycIy/u/dn5m9Wk0+IlL7FJRSs7hUR1gGNYRD62HW7zwmLGMqmnx+mxJHuc3On7/YxN/+qyYfEaldCko5t9hkuPO/EBwNhzfBjN9CgWdMWm7x9+X1OzrzaD9Hk897y/dyz8zV5KnJR0RqiYJSzk9Mexg5D0Ji4MhmR1jmHzG6KsDR5PNwv1ZMHepo8vm+oskn/bjxz4GKiPfziKCcOnUqSUlJWCwWevTowapVq87rc5988gkmk4kbb7zRtQWKQ3QbGDkfQuPh6FaYcQPkHTa6KqcbUhxNPjFhZnYeyWfw1OX8rCYfEblEhgfl7NmzGTt2LBMmTGDdunWkpqYyYMAAjhyp+Wxl3759jBs3jiuvvNJNlQoAUS1h1DwIS4BjO+D96yHnoNFVOSUnhDN3TG9SKpt83lOTj4hcGsOD8pVXXmH06NGMGjWK9u3b8/bbbxMUFMT06dOr/YzVamXYsGE888wzNG/e3I3VCgCRzR1hGd4ETuyGGddDdobRVTnFhFmY/Yee3JASR5nV0eTzdzX5iMhFMjQoS0tLWbt2Lf369XPu8/HxoV+/fqxcubLazz377LM0atSIu++++5xjlJSUkJubW2WTWtAgyRGWDZLg5D5HWJ7cb3BRpwQG+PLGHZ15pF8rAN5Vk4+IXCRDg/LYsWNYrVZiYmKq7I+JieHw4bPf+1q+fDnvvfce06ZNO68xJk+eTHh4uHNLTEy85LqlQkQTxz3LyOaQne64Z3lij9FVOZlMJh7p17pKk88tb6nJR0QujOGXXi9EXl4ew4cPZ9q0aURFRZ3XZ8aPH09OTo5zy8jwnEuEdUJ4Y0dYNmwFORnw/g1wfLfRVVVxQ0ocn/6xJzFhZnZk5XPjmytYtdczngUVEc9naFBGRUXh6+tLVlZWlf1ZWVnExsaecfzu3bvZt28fgwYNws/PDz8/P2bNmsXcuXPx8/Nj9+4z/4I2m82EhYVV2aSWhcU5Hh2Jbgt5hxwNPkd3GF1VFSkJEXz9gKPJ50RBKcPe/YlPV+sfTSJyboYGZUBAAF27dmXx4sXOfTabjcWLF9OzZ88zjm/bti2bNm0iLS3Nuf3ud7/j6quvJi0tTZdVjRQa45iUoFEHyD/suAx7ZKvRVVURG161yefxLzby3Dw1+YhIzfyMLmDs2LHceeeddOvWje7duzNlyhQKCgoYNWoUACNGjKBx48ZMnjwZi8VCx44dq3w+IiIC4Iz9YoCQaMd0d/8efGoGnxFfQ6zn/LepbPJp1SiEKd/uZNoPe9l9tIBXb+9EqMXf6PJExAMZfo/ytttu46WXXuLpp5+mU6dOpKWlsWDBAmeDT3p6OpmZmQZXKectuCGMmAtxnaDwGMwcBJkbja6qisomnzeGdsbs58N3245wy1s/knFCTT4iciaT3W6vV9edcnNzCQ8PJycnR/crXakoGz64GQ6uBUsEjPgK4jsbXNSZNmRkM3rWGo7klRAZHMDb/9eV7s0ijS5LRNzgfPPA8DNKqaMCIxyLPyd0h+JsmDkYDqwxuqozpCZGMHdMb5Ibn2rymTh3s84uRcRJZ5TiWiV58OEQSP8RAkLh/76AJj2MruoMRaVWxn22gXmbHJf5fX1MXJ8cxx+vak7HxuEGVycirnC+eaCgFNcrLYCPboN9P0BACAz7DJpeYXRVZ7Db7SzfdYx3lu3hh52nlhHr1bIhf7iqBVe1isJkMhlYoYjUJgVlNRSUBikthE/ugD1LwD8Iej0Cl98LFs88W9t8KIdpy/bwn42ZzsdH2saG8sffNOe3KfH4++quhYi3U1BWQ0FpoLIimD0cdn3j+NoSAT3HQI8/gsUz/1scOFnI9OX7+GR1OoWlVgDiwy3c1bsZt3dvQojZ8CesROQiKSiroaA0mM0GW+bAkhfg2HbHvsAGcMWD0P0PYA41tr5q5BSW8cHP+3l/xT6O5ZcAEGrxY1iPpozqlURMmMXgCkXkQikoq6Gg9BA2K2yeA0ueh+M7HfsCI6HXQ3DZaDCHGFtfNYrLrHy1/iDv/LCHPUcLAPD3NXFjp8b84armtIrxzKAXkTMpKKuhoPQwNits+hyWvuBY2xIgqKHjHuZld0NAsKHlVcdms7N42xHeWbab1ftOOvf3bduIP1zVnO7NItX4I+LhFJTVUFB6KGs5bPrMEZgn9zr2BUc7ArPbXRAQZGh5NVm7/yTvLNvNoi1ZVP5pSk2M4N6rmnNth1h8fRSYIp5IQVkNBaWHs5bDxk9g6YuQXbEQdEgM9H4Uuo4E/0BDy6vJnqP5vLt8L5+vPUBpuQ2ApIZB3H1lc27tmoDF39fgCkXkdArKaigovYS1DDZ8DMv+4VgUGiAkFq4cC13uBH/PbZ45mlfCrJX7mLVyPzlFZQBEBgdwZ88khvdsSmRwgMEViggoKKuloPQy5aWw4SNY9pJjYWiA0PiKwBwBfmZj66tBYWk5n67O4N3lezlwsggAi78PQ7olck/v5jRp6LmXk0XqAwVlNRSUXqq8FNb/G354GXIPOvaFNYYr/wSdh4Of556llVttzP/lMO8s280vB3MB8DHBwI5x/OGq5qQmRhhboEg9paCshoLSy5WXwLpZjsDMq1h+LTzREZidhnl0YNrtdlbuPs6/lu1h6Y6jzv2XN4/kj1e1oE+baHXKiriRgrIaCso6oqwY1s2EH16B/MOOfRFN4Mpx0Gko+Hr2IsxbM3OZtmwPczccorxiirzWMSGMvrI5gzs1JsBPU+SJuJqCshoKyjqmrAjWzoDl/4T8LMe+iKbwm8ch5Xbw9ewp5g5lF/H+ir18vCqD/JJyAGLDLIzqlcQdPZoQZvHswBfxZgrKaigo66jSQlj7viMwCyouazZo5gjM5CEeH5g5RWV8vCqd6cv3ciTPMUVeiNmPoT2aMKpXEnHhnvtYjIi3UlBWQ0FZx5UWwOr3YMWrUFixVFZkC/jNnyH59+Dj2c8ylpRb+TrtENOW7WHnkXzAMUXe71IdU+S1idUUeSK1RUFZDQVlPVGSD6unwYrXoOiEY1/DVo7A7HizxwemzWZnyY4jvL10D6v2nnDuT00I59oOsQzoEEvLRp45H66It1BQVkNBWc+U5MGqd+DH16GoYk7WqDaOS7IdbgYfz2+aScvI5p1lu1nwy2Fsp/1pbR4dzICK0ExpHI6PpsoTuSAKymooKOup4lxY9S/48Q0oznbsi24Hff4M7QZ7RWAeySvm2y1HWLj5MD/uPkaZ9dQf3dgwC/3bxzCgQyw9mkdqYWmR86CgrIaCsp4rzoGf3oaVU6Ekx7GvUQdHYLYd5BWBCZBbXMb3246waEsWS7YdoaBiUWmA8EB/+rZtxLUdYriqdTRBAZ7dyCRiFAVlNRSUAkBRNvz0Fvz0JpQ4ZsshpqPjHmbr6zx64oJfKy6z8uPuYyz8JYtvt2ZxvKDU+Z7F34crW0UzoEMsfds2ooHmmRVxUlBWQ0EpVRSddJxd/vQ2lOY59gWEQNKV0OIax9awBXjJjDlWm521+0+ycPNhFm4+7JxjFsDXx0T3pEgGdIjh2g6xxEfokROp3xSU1VBQylkVnoCVbzgmLyg8XvW98CbQoo8jNJv9BoIijajwgtntdrZk5rJocxYLNx9m2+G8Ku8nNw5nQIcYZwetps+T+kZBWQ0FpdTIZoPDG2H3d7Dne0j/Caylpx1ggsZdTp1tJlzm8dPlVdp/vIBFm7NYtOUwa/af5PQ/+c2jgrm2QyzXdoihU0KEOmilXlBQVkNBKRektAD2/+gIzt3fwdFtVd/30su0R/NK+Har40zzx13HKbXanO/FhJlPddA2a6h5Z6XOUlBWQ0EplyTnIOxZcuqMsw5cps0rLmPJ9qMs3HyYJduPOuecBQi1+NG3bSMGdIjlN23UQSt1i4KyGgpKqTWnX6bd/R1k/Oz1l2lLyq38uPs4izYf5pstWRzLP/XzmP18uLJVFNd2iKVfuxgi1UErXk5BWQ0FpbhMHbtMa7XZWZd+kkWbD7NwcxbpJwqd7/mYoHuzSK5t77ivmdAgyMBKRS6OgrIaCkpxm/O6THu1Y/Pwy7R2u51th/MqHjvJYmtmbpX3OzYOo1eLKFITI0hNjCA+3KIuWvF4CspqKCjFEHXsMm3GiUIWbj7Mos1ZrN5/gl//LRIVYqZTYjipCY7gTE2IIDzIc38eqZ8UlNVQUIpHqEOXaY/ll7Bk+1HWp59kw4FstmXmUW4786+V5lHBFaEZTmpiBO3iwrD4e/YqLlK3KSiroaAUj3S+3bRxqRDV2rECSkgjjwzP4jIrmw/lsiEjmw0HstmQkc2+44VnHOfva6JdXJjzrLNTYjjNo0L0DKe4jYKyGgpK8XjnvExbwRLuCMyo1hBdEZ5RraBBksett3myoJSNB3NISz8VnqfPSVspxOxHSsUZZ2pCBJ0SI4gNtxhQsdQHXhWUU6dO5R//+AeHDx8mNTWV119/ne7du5/12GnTpjFr1ix++eUXALp27cqkSZOqPf7XFJTidSov0+5dBke3w7HtcHI/UM0fXV8zNGxZEZ4VW3Qbxz5/z5jf1W63c+BkkTM0N2TksOlgDkVl1jOOjQkzn3bWGUFyQjhhFt3vlEvnNUE5e/ZsRowYwdtvv02PHj2YMmUKn332Gdu3b6dRo0ZnHD9s2DB69erFFVdcgcVi4YUXXmDOnDls3ryZxo0bn3M8BaXUCWXFcHyXIzSP7oBjldtOsJZU8yETRDRxhObpARrV2iM6bsutNnYeyXdesk3LyGFHVh7Ws9zvbBEd7AzO1IQI2saFYvbzrLNo8XxeE5Q9evTgsssu44033gDAZrORmJjIgw8+yBNPPHHOz1utVho0aMAbb7zBiBEjznm8glLqNJsVsvc7ArPy7LPydeWC1WcTHH1meEa1hvAEQ++DFpaWO+93plUEaMaJojOOC/D1oV18GJ0qL9smRtCsYbDud0qNzjcPDJ2PqrS0lLVr1zJ+/HjnPh8fH/r168fKlSvP63sUFhZSVlZGZOTZ/0VcUlJCScmpf2Hn5uae9TiROsHHFyKbO7bWA07tt9uh4GhFeFacfVa+zj3oeK/gKOxfUfX7+Qc77nuefh80ug00aOaWNTuDAvy4LCmSy5JO/fk+nl/CxgM5zuDckJHNycKyiku42bByP+CYfs9xyTac1jGhNIkMIjEyiIbBAXrGUy6IoUF57NgxrFYrMTExVfbHxMSwbdu2aj5V1Z///Gfi4+Pp16/fWd+fPHkyzzzzzCXXKuLVTCZHl2xII2h2ZdX3SvIcZ52/DtATe6CsADLTHNvpfPwcYRld0UAU1QYimznOQENiwdd1f7U0DDFzddtGXN3WcWvGbreTcaKINOf9zmw2Hcwhr7ic5buOsXzXsSqfD/T3JTEykMQGjuBMaBDoDNHEyCBCzJrPVqry6v8jnn/+eT755BOWLFmCxXL2zrjx48czduxY59e5ubkkJia6q0QRz2cOdUx20LhL1f3WMjixt+I+aMUl3MpLuaX5cHynY/s1ky+ExTtCMzwBwhN/9WsCWGrvtofJZKJJwyCaNAzid6nxAJRZbezIymNDRg4bMrLZe6yAjJOFHM4tpqjMyo6sfHZk5Z/1+zUI8neEZoMgEiIrQrQiVBtHBGo1lXrI0KCMiorC19eXrKysKvuzsrKIjY2t8bMvvfQSzz//PN9++y0pKSnVHmc2mzGbzbVSr0i94uvvuNwa3RraDTq13253XK49tqOikagiPLPTHftt5ZCT4diqYwmvGpzOIK3YFxp7SY+4+Pv60CE+nA7x4Qzt0cS5v6TcyqHsYjJOFJJ+opCMk4UcOFFExslCMk4UcrKwrGLLYeOBnDO+r8kEsWEWZ3CefmaaGBlITKhF90XrIEODMiAggK5du7J48WJuvPFGwNHMs3jxYsaMGVPt51588UWee+45Fi5cSLdu3dxUrYgAjrSoDLcW11R9z2aF/CzIOVARlgcgu+LXyn3F2VCc49iyfqlmDF8Ia+wYIyLxLGenCY4z4Qtk9vOlWVQwzaKCz/p+XnEZB04WOUL0RCEHThaRURGoGSeKKCqzkplTTGZOMav2nTjj8wG+PjRuEFhxRhroPDOtDNSIIH/dH/VChne9zp49mzvvvJN//etfdO/enSlTpvDpp5+ybds2YmJiGDFiBI0bN2by5MkAvPDCCzz99NN89NFH9OrVy/l9QkJCCAkJOed46noVMVhJXtXgdL6uCNXcg2A/83nKM1gizjwrjTjtrDQkplYnXrDb7RwvKK02RA9mF531UZbThZr9SKgSooEkNAgiPiKQxhGBhAX6KUjdyGseDwF44403nBMOdOrUiddee40ePXoA0KdPH5KSkpgxYwYASUlJ7N+//4zvMWHCBCZOnHjOsRSUIh7OZoW8w6cF6a/CNCfDcTZ6Lj5+FfdKEx1NTIGRENjAsQWd9vr0/ZfQhFRutZGZU3zG5dyMijPUo3nVPd96SnCAL3ERgRXBaSE+3PE6LsJC44hAYsMtel60FnlVULqTglKkDijOreastOJ17qHzOyv9NXMYBEacCs/qAtW5P9Jxv/U8Ara4zMqBirNPZ4hWnIkeyi4665R+ZxMdaiY+3EJ8RaBWhmpcRahGhejxl/OloKyGglKkHrCWQ/7hU5dzC49B4QkoOlmxnfa68CSUnMcZak3M4RBUU6A2ODN8LeFVLg0Xl1k5lF1EZk6xMzx//XVxme2cpQT4+RAffio4G0dYKs5KTwVqsB6BARSU1VJQisgZrOWOy7lVAvTEWUL19LA9CSWXMoGJyRGWgRGOM1lL+KnNHOZ4hMb5Ohy7OYxcgskqCeBgsT8ZBX4cyLNyMLuIzOwiDmUXk5VXfMbaoGcTEeRfcVm36plp5Zlqo1Azfr51/zEYr5iZR0TEI/j6QXBDx3YhrGWOgK32bPVsYXsSSvMAe0UHcPZ5DWUCwiu21pU7/QIrwjUMGoVjSwyj2CeYfFMwObZAjpcHcqQsgMxiMweL/dlX4E9WSQB5hUGkFwaxNdOCnTMD0dfHRGyYhdhwC7FhFhqFmYkJsxATZiYm1EKjitch5vrRfKSgFBG5WL7+EBzl2C6EtQyKsh0BWvmoTOVWklvxOrfq69PfK62YLKG8CPKLHJeZAR8gqGJrBLQ629inPVZux0SJbwiFPsHk2oPItlk4Xm4h2x5EXn4QuflB5B4IJpcgNtiDyCWIXLvj6zx7EOUBoTQMC6FR6GlBGlYRpM59FgIDvLsBSUEpIuJuvv4QEu3YLoa13BGaJblnhmiVgK0hfK2lmLBjseZhsebhnE33Aq+4FuaZyc0LIvdgEHkEkWsPIpdgdtiDWFvxdal/KD6BEfgFRxAY0oDAsIaERTQkIjKa6AZhNAp1nLV6akevglJExNv4+jmagi5lebSy4l+FaM6ZZ7C/fv/0/aV5AASZSgiihFjTyZrHK6rYqk69S4ndj1yCOGAPptAnmFK/UMoDQrGbw/EJDMc/uAHmkAYEh0USGtGQsAZR+AVGOC45B0eBn+tnXlNQiojUR/4WxxYac+5jz8ZmPfPM9Vdhai/Oprwwh5L8k1gLT2IvzsGnJBf/sjzM1nx8sGM2lRNNLtGmisao8oqtEDhH9m65/CXaXzf64uq/AApKERG5cD6+px59qYYJ8K/YzmCzOe61FudgL84hP+c4OSePk59zjKLcE5QUZGMtzMZelI1PSS5+ZXlYrPmEUkCYqZAwCinxu/BpDC+GglJERNzPx6fiEZgwTCQSGgvnij2bzc6JwlIO5xazMaeY5AT3POKnoBQREa/g42MiKsRMVIiZDvHh7hvXbSOJiIh4IQWliIhIDRSUIiIiNVBQioiI1EBBKSIiUgMFpYiISA0UlCIiIjVQUIqIiNRAQSkiIlIDBaWIiEgNFJQiIiI1UFCKiIjUQEEpIiJSAwWliIhIDerdMlt2ux2A3NxcgysREREjVeZAZS5Up94FZV5eHgCJiYkGVyIiIp4gLy+P8PDq17c02c8VpXWMzWbj0KFDhIaGYjKZLvr75ObmkpiYSEZGBmFh7lllW8RT6c+DeCO73U5eXh7x8fH4+FR/J7LenVH6+PiQkJBQa98vLCxMfzGIVNCfB/E2NZ1JVlIzj4iISA0UlCIiIjVQUF4ks9nMhAkTMJvNRpciYjj9eZC6rN4184iIiFwInVGKiIjUQEEpIiJSAwWliIhIDRSUIiIiNVBQXqSpU6eSlJSExWKhR48erFq1yuiSRNxq4sSJmEymKlvbtm2NLkuk1ikoL8Ls2bMZO3YsEyZMYN26daSmpjJgwACOHDlidGkibtWhQwcyMzOd2/Lly40uSaTWKSgvwiuvvMLo0aMZNWoU7du35+233yYoKIjp06cbXZqIW/n5+REbG+vcoqKijC5JpNYpKC9QaWkpa9eupV+/fs59Pj4+9OvXj5UrVxpYmYj77dy5k/j4eJo3b86wYcNIT083uiSRWqegvEDHjh3DarUSExNTZX9MTAyHDx82qCoR9+vRowczZsxgwYIFvPXWW+zdu5crr7zSuZSdSF1R71YPEZHaMXDgQOfrlJQUevToQdOmTfn000+5++67DaxMpHbpjPICRUVF4evrS1ZWVpX9WVlZxMbGGlSViPEiIiJo3bo1u3btMroUkVqloLxAAQEBdO3alcWLFzv32Ww2Fi9eTM+ePQ2sTMRY+fn57N69m7i4OKNLEalVuvR6EcaOHcudd95Jt27d6N69O1OmTKGgoIBRo0YZXZqI24wbN45BgwbRtGlTDh06xIQJE/D19eWOO+4wujSRWqWgvAi33XYbR48e5emnn+bw4cN06tSJBQsWnNHgI1KXHThwgDvuuIPjx48THR1N7969+emnn4iOjja6NJFapWW2REREaqB7lCIiIjVQUIqIiNRAQSkiIlIDBaWIiEgNFJQiIiI1UFCKiIjUQEEpIiJSAwWliIhIDRSUIuI0cuRIbrzxRqPLEPEomplHxCAjR44kOzubr776ij59+tCpUyemTJliaE05OTnY7XYiIiIMrUPEk2iuV5E6pLS0lICAgAv+nNVqxWQyER4e7oKqRLybLr2KGGzkyJEsXbqUV199FZPJhMlkYt++fQD88ssvDBw4kJCQEGJiYhg+fDjHjh1zfrZPnz6MGTOGRx55hKioKAYMGADAK6+8QnJyMsHBwSQmJnL//feTn5/v/NyMGTOIiIhg7ty5tG/fHrPZTHp6+hmXXktKSnjooYdo1KgRFouF3r17s3r1auf7S5YswWQysXjxYrp160ZQUBBXXHEF27dvdx6zYcMGrr76akJDQwkLC6Nr166sWbPGRb+bIrVPQSlisFdffZWePXsyevRoMjMzyczMJDExkezsbK655ho6d+7MmjVrWLBgAVlZWQwZMqTK52fOnElAQAArVqzg7bffBsDHx4fXXnuNzZs3M3PmTL777jsef/zxKp8rLCzkhRde4N1332Xz5s00atTojNoef/xxvvjiC2bOnMm6deto2bIlAwYM4MSJE1WOe/LJJ3n55ZdZs2YNfn5+3HXXXc73hg0bRkJCAqtXr2bt2rU88cQT+Pv719Zvn4jr2UXEEHfeead98ODBdrvdbv/Nb35jf/jhh6u8/7e//c1+7bXXVtmXkZFhB+zbt293fq5z587nHOuzzz6zN2zY0Pn1+++/bwfsaWlp1daUn59v9/f3t3/44YfO90tLS+3x8fH2F1980W632+3ff/+9HbB/++23zmPmzZtnB+xFRUV2u91uDw0Ntc+YMeOcNYp4Kp1RinioDRs28P333xMSEuLc2rZtC8Du3budx3Xt2vWMz3777bf07duXxo0bExoayvDhwzl+/DiFhYXOYwICAkhJSal2/N27d1NWVkavXr2c+/z9/enevTtbt26tcuzp3ycuLg6AI0eOAI6Fzu+55x769evH888/X6V2EW+goBTxUPn5+QwaNIi0tLQq286dO7nqqqucxwUHB1f53L59+/jtb39LSkoKX3zxBWvXrmXq1KmAo9mnUmBgICaTqVZqPf1SauX3tNlsAEycOJHNmzdzww038N1339G+fXvmzJlTK+OKuIOCUsQDBAQEYLVaq+zr0qULmzdvJikpiZYtW1bZfh2Op1u7di02m42XX36Zyy+/nNatW3Po0KELrqlFixbOe5+VysrKWL16Ne3bt7+g79W6dWseffRRFi1axM0338z7779/wfWIGEVBKeIBkpKS+Pnnn9m3bx/Hjh3DZrPxwAMPcOLECe644w5Wr17N7t27WbhwIaNGjTojVE/XsmVLysrKeP3119mzZw///ve/nU0+FyI4OJj77ruPxx57jAULFrBlyxZGjx5NYWEhd99993l9j6KiIsaMGcOSJUvYv38/K1asYPXq1bRr1+6C6xExioJSxAOMGzcOX19f2rdvT3R0NOnp6cTHx7NixQqsVivXXnstycnJPPLII0RERODjU/0f3dTUVF555RVeeOEFOnbsyIcffsjkyZMvqq7nn3+eW265heHDh9OlSxd27drFwoULadCgwXl93tfXl+PHjzNixAhat27NkCFDGDhwIM8888xF1SNiBM3MIyIiUgOdUYqIiNRAQSkiIlIDBaWIiEgNFJQiIiI1UFCKiIjUQEEpIiJSAwWliIhIDRSUIiIiNVBQioiI1EBBKSIiUgMFpYiISA3+H368jJt9b0EqAAAAAElFTkSuQmCC"},"metadata":{}}],"execution_count":48},{"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":"2024-11-27T11:11:17.434862Z","iopub.execute_input":"2024-11-27T11:11:17.43527Z","iopub.status.idle":"2024-11-27T11:11:17.689063Z","shell.execute_reply.started":"2024-11-27T11:11:17.435237Z","shell.execute_reply":"2024-11-27T11:11:17.687843Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 500x500 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":49},{"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":"2024-11-27T11:11:25.777424Z","iopub.execute_input":"2024-11-27T11:11:25.778657Z","iopub.status.idle":"2024-11-27T11:11:27.249106Z","shell.execute_reply.started":"2024-11-27T11:11:25.778565Z","shell.execute_reply":"2024-11-27T11:11:27.247749Z"}},"outputs":[{"name":"stdout","text":"\u001b[1m313/313\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 2ms/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":50},{"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":"2024-11-27T11:11:34.276525Z","iopub.execute_input":"2024-11-27T11:11:34.276962Z","iopub.status.idle":"2024-11-27T11:11:34.314442Z","shell.execute_reply.started":"2024-11-27T11:11:34.276926Z","shell.execute_reply":"2024-11-27T11:11:34.31331Z"}},"outputs":[{"name":"stdout","text":"              precision    recall  f1-score   support\n\n           0       0.50      0.99      0.67       980\n           1       0.66      0.99      0.80      1135\n           2       0.12      0.00      0.01      1032\n           3       0.65      0.56      0.60      1010\n           4       0.71      0.02      0.03       982\n           5       0.99      0.54      0.69       892\n           6       0.31      0.88      0.45       958\n           7       0.38      0.01      0.02      1028\n           8       1.00      0.00      0.00       974\n           9       0.44      0.95      0.60      1009\n\n    accuracy                           0.50     10000\n   macro avg       0.58      0.49      0.39     10000\nweighted avg       0.57      0.50      0.39     10000\n\n","output_type":"stream"}],"execution_count":51},{"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\n#file_upload = widgets.FileUpload(\naccept='.png',   # The type of files to accept\nmultiple=False    # Whether to allow to upload multiple files or not\n\n\n# Display the widget\ndisplay(file_upload)\n\n\n\n","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-11-27T11:26:16.644883Z","iopub.execute_input":"2024-11-27T11:26:16.645286Z","iopub.status.idle":"2024-11-27T11:26:16.65328Z","shell.execute_reply.started":"2024-11-27T11:26:16.645254Z","shell.execute_reply":"2024-11-27T11:26:16.651986Z"}},"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":"5c721d9d095d4b9c83a0d074f7323060"}},"metadata":{}}],"execution_count":63},{"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":"2024-11-27T11:13:23.310295Z","iopub.execute_input":"2024-11-27T11:13:23.31076Z","iopub.status.idle":"2024-11-27T11:13:23.319324Z","shell.execute_reply.started":"2024-11-27T11:13:23.310722Z","shell.execute_reply":"2024-11-27T11:13:23.317921Z"}},"outputs":[],"execution_count":54},{"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":{}}]}