Dimensionality Reduction using an Autoencoder in Python

autoencoders-dimensionality-reduction.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.7.5"},"colab":{"name":"autoencoders-dimensionality_reduction.ipynb","provenance":[]}},"cells":[{"cell_type":"markdown","metadata":{"id":"m8OU26HjeKLo","colab_type":"text"},"source":["# Dimensionality Reduction using an Autoencoder in Python "]},{"cell_type":"markdown","metadata":{"id":"93UsBUdDeKLp","colab_type":"text"},"source":["### Importing Libraries"]},{"cell_type":"code","metadata":{"id":"AK2cEc5veKLq","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771514758,"user_tz":-360,"elapsed":1179,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["import matplotlib\n","%matplotlib inline\n","%config InlineBackend.figure_format = 'svg'\n","import matplotlib.pyplot as plt\n","plt.style.use('ggplot')\n","\n","import numpy as np"],"execution_count":1,"outputs":[]},{"cell_type":"code","metadata":{"id":"oKyfW007eKLv","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771515265,"user_tz":-360,"elapsed":1669,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["from sklearn.datasets import make_blobs\n","from sklearn.model_selection import train_test_split\n","from sklearn.preprocessing import MinMaxScaler\n","\n","from sklearn.neural_network import MLPRegressor\n","from sklearn.decomposition import PCA\n","\n","from sklearn.metrics import mean_squared_error, silhouette_score"],"execution_count":2,"outputs":[]},{"cell_type":"code","metadata":{"id":"lD0lXFyseKLz","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771515267,"user_tz":-360,"elapsed":1661,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["cols = ['#1FC17B', '#78FECF', '#555B6E', '#CC998D', '#429EA6',\n","        '#153B50', '#8367C7', '#EE6352', '#C287E8', '#F0A6CA', \n","        '#521945', '#361F27', '#828489', '#9AD2CB', '#EBD494', \n","        '#53599A', '#80DED9', '#EF2D56', '#446DF6', '#AF929D']"],"execution_count":3,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"4dTO-pmoeKL3","colab_type":"text"},"source":["### Dataset Creation and Preprocessing"]},{"cell_type":"code","metadata":{"id":"yAotBUcfeKL4","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771515667,"user_tz":-360,"elapsed":2048,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["X, y = make_blobs(n_features=50, centers=20, n_samples=20000, cluster_std=0.2, \n","                  random_state=17, center_box=[-1, 1])"],"execution_count":4,"outputs":[]},{"cell_type":"code","metadata":{"id":"vQZP1xgZeKL7","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771515668,"user_tz":-360,"elapsed":2038,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.10, random_state=17)\n","\n","scaler = MinMaxScaler()\n","X_train = scaler.fit_transform(X_train)\n","X_test = scaler.transform(X_test)"],"execution_count":5,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"C1g7SfRAeKL_","colab_type":"text"},"source":["### Baseline Model"]},{"cell_type":"code","metadata":{"id":"FBukqY1meKMA","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":413},"executionInfo":{"status":"ok","timestamp":1597771516353,"user_tz":-360,"elapsed":2712,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"47db7013-bd43-4c76-863b-498b63d71067"},"source":["pca = PCA(n_components=2)\n","pca.fit(X_train)\n","\n","res_pca = pca.transform(X_test)\n","\n","unique_labels = np.unique(y_test)\n","\n","for index, unique_label in enumerate(unique_labels):\n","    X_data = res_pca[y_test==unique_label]\n","    plt.scatter(X_data[:,0], X_data[:,1], alpha=0.3, c=cols[index])\n","    \n","plt.xlabel('Principal Component #1')\n","plt.ylabel('Principal Component #2')\n","plt.title('PCA Results')"],"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'PCA Results')"]},"metadata":{"tags":[]},"execution_count":6},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"281.073625pt\" version=\"1.1\" viewBox=\"0 0 402.459062 281.073625\" width=\"402.459062pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g 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Training"]},{"cell_type":"code","metadata":{"id":"K8M98uqCeKMG","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":153},"executionInfo":{"status":"ok","timestamp":1597771540567,"user_tz":-360,"elapsed":26914,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"a53395c1-a1ae-46d9-f601-af272b02bea1"},"source":["autoencoder = MLPRegressor(alpha=1e-15, \n","                           hidden_layer_sizes=(50, 100, 50, 2, 50, 100, 50), \n","                           random_state=1, max_iter=20000)\n","\n","autoencoder.fit(X_train, X_train)"],"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":["MLPRegressor(activation='relu', alpha=1e-15, batch_size='auto', beta_1=0.9,\n","             beta_2=0.999, early_stopping=False, epsilon=1e-08,\n","             hidden_layer_sizes=(50, 100, 50, 2, 50, 100, 50),\n","             learning_rate='constant', learning_rate_init=0.001, max_fun=15000,\n","             max_iter=20000, momentum=0.9, n_iter_no_change=10,\n","             nesterovs_momentum=True, power_t=0.5, random_state=1, shuffle=True,\n","             solver='adam', tol=0.0001, validation_fraction=0.1, verbose=False,\n","             warm_start=False)"]},"metadata":{"tags":[]},"execution_count":7}]},{"cell_type":"markdown","metadata":{"id":"472nvajveKMK","colab_type":"text"},"source":["### Reducing Dimensionality with Encoder"]},{"cell_type":"code","metadata":{"id":"iIu39IN0eKML","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771540569,"user_tz":-360,"elapsed":26903,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["W = autoencoder.coefs_\n","biases = autoencoder.intercepts_"],"execution_count":8,"outputs":[]},{"cell_type":"code","metadata":{"id":"L5Ixd-p_eKMO","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771540570,"user_tz":-360,"elapsed":26892,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["encoder_weights = W[0:4]\n","encoder_biases = biases[0:4]"],"execution_count":9,"outputs":[]},{"cell_type":"code","metadata":{"id":"4Qza_VtbeKMR","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597771540571,"user_tz":-360,"elapsed":26882,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}}},"source":["def encoder(encoder_weights, encoder_biases, data):\n","    res_ae = data\n","    for index, (w, b) in enumerate(zip(encoder_weights, encoder_biases)):\n","        if index+1 == len(encoder_weights):\n","            res_ae = res_ae@w+b \n","        else:\n","            res_ae = np.maximum(0, res_ae@w+b)\n","    return res_ae\n","            \n","res_ae = encoder(encoder_weights, encoder_biases, X_test)"],"execution_count":10,"outputs":[]},{"cell_type":"code","metadata":{"id":"eR5GBCiSeKMU","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":413},"executionInfo":{"status":"ok","timestamp":1597771541286,"user_tz":-360,"elapsed":27585,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"1a276902-b08f-4b0c-bee6-c7120153c60b"},"source":["unique_labels = np.unique(y_test)\n","\n","for index, unique_label in enumerate(unique_labels):\n","    latent_space = res_ae[y_test==unique_label]\n","    plt.scatter(latent_space[:,0], latent_space[:,1], alpha=0.3, c=cols[index])\n","\n","plt.xlabel('Latent X')\n","plt.ylabel('Latent Y')\n","plt.title('Autoencoder Results')"],"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Autoencoder Results')"]},"metadata":{"tags":[]},"execution_count":11},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"281.073625pt\" version=\"1.1\" viewBox=\"0 0 386.555937 281.073625\" width=\"386.555937pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 281.073625 \nL 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The silhouette ranges from −1 to +1, where a high value indicates that the object is well matched to its own cluster and poorly matched to neighboring clusters."]},{"cell_type":"code","metadata":{"id":"L5amUOqCeKMZ","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1597771545488,"user_tz":-360,"elapsed":31773,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"46f1d341-00b4-4bbe-87e8-4a1673a09e5d"},"source":["silhouette_score(X_train, y_train)"],"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.6109772034818249"]},"metadata":{"tags":[]},"execution_count":12}]},{"cell_type":"code","metadata":{"id":"xefixSWKeKMb","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1597771545490,"user_tz":-360,"elapsed":31762,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"7e8424d5-a0b0-4f66-a01e-aa4b0fe5cea8"},"source":["silhouette_score(res_pca, y_test)"],"execution_count":13,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.36786960917499817"]},"metadata":{"tags":[]},"execution_count":13}]},{"cell_type":"code","metadata":{"id":"wP6GDiK_eKMe","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"executionInfo":{"status":"ok","timestamp":1597771545492,"user_tz":-360,"elapsed":31751,"user":{"displayName":"Sk Golam Saroar","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Ghr9p9wypMUycgNVXDkAu38VEGu6bGiX6rn6s82=s64","userId":"18118541395647292368"}},"outputId":"90243002-d9cc-4688-f5b6-c1b069a59d57"},"source":["silhouette_score(res_ae, y_test)"],"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.8074659601928073"]},"metadata":{"tags":[]},"execution_count":14}]}]}