diff --git a/Ch9/.ipynb_checkpoints/Exercises-checkpoint.ipynb b/Ch9/.ipynb_checkpoints/Exercises-checkpoint.ipynb new file mode 100644 index 000000000..532e21deb --- /dev/null +++ b/Ch9/.ipynb_checkpoints/Exercises-checkpoint.ipynb @@ -0,0 +1,835 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 10**\n", + "\n", + "Load in Olivetti dataset, split it into train/val/test sets with stratified sampling, cluster using K-means and visualize" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from matplotlib import pyplot as plt\n", + "from sklearn.datasets import fetch_olivetti_faces\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.model_selection import StratifiedShuffleSplit as SSS\n", + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "downloading Olivetti faces from https://ndownloader.figshare.com/files/5976027 to C:\\Users\\TSB\\scikit_learn_data\n" + ] + } + ], + "source": [ + "olivetti = fetch_olivetti_faces(shuffle=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['data', 'images', 'target', 'DESCR'])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "olivetti.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(64, 64)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = olivetti['data']\n", + "images = olivetti['images']\n", + "y = olivetti['target']\n", + "\n", + "images[0].shape" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Initial split of train/test\n", + "\n", + "sss = SSS(test_size = 0.1)\n", + "for train_idx, test_idx in sss.split(X, y):\n", + " X_train, X_test = X[train_idx], X[test_idx]\n", + " y_train, y_test = y[train_idx], y[test_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# Further split train set into train/val\n", + "\n", + "sss = SSS(test_size=40)\n", + "for train_idx, val_idx in sss.split(X_train, y_train):\n", + " X_train, X_val = X[train_idx], X[val_idx]\n", + " y_train, y_val = y[train_idx], y[val_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "# Generate a bunch of k-means models to check silhouette_score on\n", + "\n", + "k_means_models = [KMeans(n_clusters=k).fit(X_train) for k in range(1,15)]\n", + "silhouette_scores = [silhouette_score(X_train, model.labels_) for model in k_means_models[1:]]" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8,3))\n", + "plt.plot(range(2,15), silhouette_scores, 'bo-')\n", + "plt.xlabel('K', fontsize=13)\n", + "plt.ylabel('Silhouette Score', fontsize=13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we can see peaks at k=10 and k=13 with the absolute maximum being at 2 and the end of the graph trending upwards." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Thanks to the sklearn documentation found at:\n", + " https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n", + "\n", + "For n_clusters = 4 The average silhouette_score is : 0.111416936\n", + "For n_clusters = 8 The average silhouette_score is : 0.09379276\n", + "For n_clusters = 9 The average silhouette_score is : 0.08636401\n", + "For n_clusters = 12 The average silhouette_score is : 0.08856778\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\"\"\"\n", + "Thanks to the sklearn documentation found at:\n", + " https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n", + "\"\"\"\n", + "\n", + "from sklearn.metrics import silhouette_samples\n", + "import matplotlib.cm as cm\n", + "\n", + "print(__doc__)\n", + "\n", + "range_n_clusters = [4, 8, 9, 12]\n", + "\n", + "for n_clusters in range_n_clusters:\n", + " # Create a subplot with 1 row and 2 columns\n", + " fig, (ax1, ax2) = plt.subplots(1, 2)\n", + " fig.set_size_inches(18, 7)\n", + "\n", + " # The 1st subplot is the silhouette plot\n", + " # The silhouette coefficient can range from -1, 1 but in this example all\n", + " # lie within [-0.1, 1]\n", + " ax1.set_xlim([-0.1, 1])\n", + " # The (n_clusters+1)*10 is for inserting blank space between silhouette\n", + " # plots of individual clusters, to demarcate them clearly.\n", + " ax1.set_ylim([0, len(X_train) + (n_clusters + 1) * 10])\n", + "\n", + " # Initialize the clusterer with n_clusters value and a random generator\n", + " # seed of 10 for reproducibility.\n", + " clusterer = KMeans(n_clusters=n_clusters)\n", + " cluster_labels = clusterer.fit_predict(X_train)\n", + "\n", + " # The silhouette_score gives the average value for all the samples.\n", + " # This gives a perspective into the density and separation of the formed\n", + " # clusters\n", + " silhouette_avg = silhouette_score(X_train, cluster_labels)\n", + " print(\"For n_clusters =\", n_clusters,\n", + " \"The average silhouette_score is :\", silhouette_avg)\n", + "\n", + " # Compute the silhouette scores for each sample\n", + " sample_silhouette_values = silhouette_samples(X_train, cluster_labels)\n", + "\n", + " y_lower = 10\n", + " for i in range(n_clusters):\n", + " # Aggregate the silhouette scores for samples belonging to\n", + " # cluster i, and sort them\n", + " ith_cluster_silhouette_values = \\\n", + " sample_silhouette_values[cluster_labels == i]\n", + "\n", + " ith_cluster_silhouette_values.sort()\n", + "\n", + " size_cluster_i = ith_cluster_silhouette_values.shape[0]\n", + " y_upper = y_lower + size_cluster_i\n", + "\n", + " color = cm.nipy_spectral(float(i) / n_clusters)\n", + " ax1.fill_betweenx(np.arange(y_lower, y_upper),\n", + " 0, ith_cluster_silhouette_values,\n", + " facecolor=color, edgecolor=color, alpha=0.7)\n", + "\n", + " # Label the silhouette plots with their cluster numbers at the middle\n", + " ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n", + "\n", + " # Compute the new y_lower for next plot\n", + " y_lower = y_upper + 10 # 10 for the 0 samples\n", + "\n", + " ax1.set_title(\"The silhouette plot for the various clusters.\")\n", + " ax1.set_xlabel(\"The silhouette coefficient values\")\n", + " ax1.set_ylabel(\"Cluster label\")\n", + "\n", + " # The vertical line for average silhouette score of all the values\n", + " ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n", + "\n", + " ax1.set_yticks([]) # Clear the yaxis labels / ticks\n", + " ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", + "\n", + " # 2nd Plot showing the actual clusters formed\n", + " colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n", + " ax2.scatter(X_train[:, 0], X_train[:, 1], marker='.', s=30, lw=0, alpha=0.7,\n", + " c=colors, edgecolor='k')\n", + "\n", + " # Labeling the clusters\n", + " centers = clusterer.cluster_centers_\n", + " # Draw white circles at cluster centers\n", + " ax2.scatter(centers[:, 0], centers[:, 1], marker='o',\n", + " c=\"white\", alpha=1, s=200, edgecolor='k')\n", + "\n", + " for i, c in enumerate(centers):\n", + " ax2.scatter(c[0], c[1], marker='$%d$' % i, alpha=1,\n", + " s=50, edgecolor='k')\n", + "\n", + " ax2.set_title(\"The visualization of the clustered data.\")\n", + " ax2.set_xlabel(\"Feature space for the 1st feature\")\n", + " ax2.set_ylabel(\"Feature space for the 2nd feature\")\n", + "\n", + " plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n", + " \"with n_clusters = %d\" % n_clusters),\n", + " fontsize=14, fontweight='bold')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "None of the graphs appear to have clusters below the threshold. However when n_clusters = 9 appears to be the most uniform and so we'll go with this for our n_clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "kmeans = KMeans(n_clusters=9)\n", + "kmeans.fit(X_train)\n", + "y_train_pred = kmeans.predict(X_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "cluster1 = X_train[y_train_pred==1]\n", + "cluster4 = X_train[y_train_pred==4]" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "45\n" + ] + } + ], + "source": [ + "print(cluster1.shape[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display images falling into cluster 1\n", + "# Note that most of these images appear to be men and a few have glasses\n", + "\n", + "plt.imshow(cluster1[random.randint(0,cluster1.shape[0] - 1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display images falling into cluster 4\n", + "# Note that many of these images have people with smaller, rounded chins\n", + "\n", + "plt.imshow(cluster4[random.randint(0,cluster4.shape[0] - 1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 11**\n", + "\n", + "Train a classifier on the training set and evaluate on val set. Then reduce dimensionality using K-means and train a new classifier. search for best number of clusters. See how it performs and compare." + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='scale', kernel='rbf',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "svc = SVC()\n", + "svc.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.996875" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "svc.score(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.975" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "svc.score(X_val, y_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(memory=None,\n", + " steps=[('kmeans',\n", + " KMeans(algorithm='auto', copy_x=True, init='k-means++',\n", + " max_iter=300, n_clusters=50, n_init=10, n_jobs=None,\n", + " precompute_distances='auto', random_state=None,\n", + " tol=0.0001, verbose=0)),\n", + " ('svc',\n", + " SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None,\n", + " coef0=0.0, decision_function_shape='ovr', degree=3,\n", + " gamma='scale', kernel='rbf', max_iter=-1,\n", + " probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False))],\n", + " verbose=False)" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "\n", + "pipeline = Pipeline([\n", + " ('kmeans', KMeans(n_clusters=50)),\n", + " ('svc', SVC())\n", + "])\n", + "\n", + "pipeline.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.475" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Note that this dimensionality reduction does terribly\n", + "\n", + "pipeline.score(X_val, y_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fitting 4 folds for each of 98 candidates, totalling 392 fits\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\users\\tsb\\appdata\\local\\programs\\python\\python37\\lib\\site-packages\\sklearn\\model_selection\\_split.py:667: UserWarning: The least populated class in y has only 3 members, which is less than n_splits=4.\n", + " % (min_groups, self.n_splits)), UserWarning)\n", + "[Parallel(n_jobs=-1)]: Using backend LokyBackend with 8 concurrent workers.\n", + "[Parallel(n_jobs=-1)]: Done 25 tasks | elapsed: 15.7s\n", + "[Parallel(n_jobs=-1)]: Done 146 tasks | elapsed: 3.4min\n", + "[Parallel(n_jobs=-1)]: Done 349 tasks | elapsed: 16.0min\n", + "[Parallel(n_jobs=-1)]: Done 392 out of 392 | elapsed: 19.6min finished\n" + ] + }, + { + "data": { + "text/plain": [ + "GridSearchCV(cv=4, error_score=nan,\n", + " estimator=Pipeline(memory=None,\n", + " steps=[('kmeans',\n", + " KMeans(algorithm='auto', copy_x=True,\n", + " init='k-means++', max_iter=300,\n", + " n_clusters=50, n_init=10,\n", + " n_jobs=None,\n", + " precompute_distances='auto',\n", + " random_state=None, tol=0.0001,\n", + " verbose=0)),\n", + " ('svc',\n", + " SVC(C=1.0, break_ties=False,\n", + " cache_size=200, class_weight=None,\n", + " coef0=0.0,\n", + " decision_function_shape='ovr',\n", + " degree=3, gamma='scale',\n", + " kernel='rbf', max_iter=-1,\n", + " probability=False,\n", + " random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False))],\n", + " verbose=False),\n", + " iid='deprecated', n_jobs=-1,\n", + " param_grid={'kmeans__n_clusters': range(2, 100)},\n", + " pre_dispatch='2*n_jobs', refit=True, return_train_score=False,\n", + " scoring=None, verbose=2)" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "\n", + "param_grid = dict(kmeans__n_clusters=range(2,100))\n", + "grid_clf = GridSearchCV(pipeline, param_grid, cv=4, verbose=2, n_jobs=-1)\n", + "grid_clf.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'kmeans__n_clusters': 68}" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.best_params_" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.80625" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.score(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.score(X_val, y_val)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 12**\n", + "\n", + "Train a Gaussian mixture on Olivetti dataset. Speed up with PCA(.99 variance). Generate some new faces using sample() method and visualize with PCA inverse_transform() method. Mess with images and see if the model can handle it. " + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(memory=None,\n", + " steps=[('pca',\n", + " PCA(copy=True, iterated_power='auto', n_components=0.99,\n", + " random_state=None, svd_solver='auto', tol=0.0,\n", + " whiten=False)),\n", + " ('bgm',\n", + " BayesianGaussianMixture(covariance_prior=None,\n", + " covariance_type='full',\n", + " degrees_of_freedom_prior=None,\n", + " init_params='kmeans', max_iter=100,\n", + " mean_precision_prior=None,\n", + " mean_prior=None, n_components=50,\n", + " n_init=10, random_state=None,\n", + " reg_covar=1e-06, tol=0.001, verbose=0,\n", + " verbose_interval=10, warm_start=False,\n", + " weight_concentration_prior=None,\n", + " weight_concentration_prior_type='dirichlet_process'))],\n", + " verbose=False)" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "from sklearn.mixture import BayesianGaussianMixture as BGM\n", + "\n", + "pipeline = Pipeline([\n", + " ('pca', PCA(n_components=0.99)),\n", + " ('bgm', BGM(n_components=50, n_init=10))\n", + "])\n", + "\n", + "pipeline.fit(X_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [], + "source": [ + "# Generate new samples from our gaussian distributions\n", + "X_new, y_new = pipeline['bgm'].sample(6)\n", + "\n", + "# Reverse our PCA dimensional reduction\n", + "X_new = pipeline['pca'].inverse_transform(X_new)" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display random recreated image\n", + "plt.imshow(X_new[random.randint(0, X_new.shape[0]-1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Ch9/Exercises.ipynb b/Ch9/Exercises.ipynb new file mode 100644 index 000000000..532e21deb --- /dev/null +++ b/Ch9/Exercises.ipynb @@ -0,0 +1,835 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 10**\n", + "\n", + "Load in Olivetti dataset, split it into train/val/test sets with stratified sampling, cluster using K-means and visualize" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from matplotlib import pyplot as plt\n", + "from sklearn.datasets import fetch_olivetti_faces\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.model_selection import StratifiedShuffleSplit as SSS\n", + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "downloading Olivetti faces from https://ndownloader.figshare.com/files/5976027 to C:\\Users\\TSB\\scikit_learn_data\n" + ] + } + ], + "source": [ + "olivetti = fetch_olivetti_faces(shuffle=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['data', 'images', 'target', 'DESCR'])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "olivetti.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(64, 64)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = olivetti['data']\n", + "images = olivetti['images']\n", + "y = olivetti['target']\n", + "\n", + "images[0].shape" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Initial split of train/test\n", + "\n", + "sss = SSS(test_size = 0.1)\n", + "for train_idx, test_idx in sss.split(X, y):\n", + " X_train, X_test = X[train_idx], X[test_idx]\n", + " y_train, y_test = y[train_idx], y[test_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# Further split train set into train/val\n", + "\n", + "sss = SSS(test_size=40)\n", + "for train_idx, val_idx in sss.split(X_train, y_train):\n", + " X_train, X_val = X[train_idx], X[val_idx]\n", + " y_train, y_val = y[train_idx], y[val_idx]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "# Generate a bunch of k-means models to check silhouette_score on\n", + "\n", + "k_means_models = [KMeans(n_clusters=k).fit(X_train) for k in range(1,15)]\n", + "silhouette_scores = [silhouette_score(X_train, model.labels_) for model in k_means_models[1:]]" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8,3))\n", + "plt.plot(range(2,15), silhouette_scores, 'bo-')\n", + "plt.xlabel('K', fontsize=13)\n", + "plt.ylabel('Silhouette Score', fontsize=13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we can see peaks at k=10 and k=13 with the absolute maximum being at 2 and the end of the graph trending upwards." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Thanks to the sklearn documentation found at:\n", + " https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n", + "\n", + "For n_clusters = 4 The average silhouette_score is : 0.111416936\n", + "For n_clusters = 8 The average silhouette_score is : 0.09379276\n", + "For n_clusters = 9 The average silhouette_score is : 0.08636401\n", + "For n_clusters = 12 The average silhouette_score is : 0.08856778\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\"\"\"\n", + "Thanks to the sklearn documentation found at:\n", + " https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n", + "\"\"\"\n", + "\n", + "from sklearn.metrics import silhouette_samples\n", + "import matplotlib.cm as cm\n", + "\n", + "print(__doc__)\n", + "\n", + "range_n_clusters = [4, 8, 9, 12]\n", + "\n", + "for n_clusters in range_n_clusters:\n", + " # Create a subplot with 1 row and 2 columns\n", + " fig, (ax1, ax2) = plt.subplots(1, 2)\n", + " fig.set_size_inches(18, 7)\n", + "\n", + " # The 1st subplot is the silhouette plot\n", + " # The silhouette coefficient can range from -1, 1 but in this example all\n", + " # lie within [-0.1, 1]\n", + " ax1.set_xlim([-0.1, 1])\n", + " # The (n_clusters+1)*10 is for inserting blank space between silhouette\n", + " # plots of individual clusters, to demarcate them clearly.\n", + " ax1.set_ylim([0, len(X_train) + (n_clusters + 1) * 10])\n", + "\n", + " # Initialize the clusterer with n_clusters value and a random generator\n", + " # seed of 10 for reproducibility.\n", + " clusterer = KMeans(n_clusters=n_clusters)\n", + " cluster_labels = clusterer.fit_predict(X_train)\n", + "\n", + " # The silhouette_score gives the average value for all the samples.\n", + " # This gives a perspective into the density and separation of the formed\n", + " # clusters\n", + " silhouette_avg = silhouette_score(X_train, cluster_labels)\n", + " print(\"For n_clusters =\", n_clusters,\n", + " \"The average silhouette_score is :\", silhouette_avg)\n", + "\n", + " # Compute the silhouette scores for each sample\n", + " sample_silhouette_values = silhouette_samples(X_train, cluster_labels)\n", + "\n", + " y_lower = 10\n", + " for i in range(n_clusters):\n", + " # Aggregate the silhouette scores for samples belonging to\n", + " # cluster i, and sort them\n", + " ith_cluster_silhouette_values = \\\n", + " sample_silhouette_values[cluster_labels == i]\n", + "\n", + " ith_cluster_silhouette_values.sort()\n", + "\n", + " size_cluster_i = ith_cluster_silhouette_values.shape[0]\n", + " y_upper = y_lower + size_cluster_i\n", + "\n", + " color = cm.nipy_spectral(float(i) / n_clusters)\n", + " ax1.fill_betweenx(np.arange(y_lower, y_upper),\n", + " 0, ith_cluster_silhouette_values,\n", + " facecolor=color, edgecolor=color, alpha=0.7)\n", + "\n", + " # Label the silhouette plots with their cluster numbers at the middle\n", + " ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n", + "\n", + " # Compute the new y_lower for next plot\n", + " y_lower = y_upper + 10 # 10 for the 0 samples\n", + "\n", + " ax1.set_title(\"The silhouette plot for the various clusters.\")\n", + " ax1.set_xlabel(\"The silhouette coefficient values\")\n", + " ax1.set_ylabel(\"Cluster label\")\n", + "\n", + " # The vertical line for average silhouette score of all the values\n", + " ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n", + "\n", + " ax1.set_yticks([]) # Clear the yaxis labels / ticks\n", + " ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", + "\n", + " # 2nd Plot showing the actual clusters formed\n", + " colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n", + " ax2.scatter(X_train[:, 0], X_train[:, 1], marker='.', s=30, lw=0, alpha=0.7,\n", + " c=colors, edgecolor='k')\n", + "\n", + " # Labeling the clusters\n", + " centers = clusterer.cluster_centers_\n", + " # Draw white circles at cluster centers\n", + " ax2.scatter(centers[:, 0], centers[:, 1], marker='o',\n", + " c=\"white\", alpha=1, s=200, edgecolor='k')\n", + "\n", + " for i, c in enumerate(centers):\n", + " ax2.scatter(c[0], c[1], marker='$%d$' % i, alpha=1,\n", + " s=50, edgecolor='k')\n", + "\n", + " ax2.set_title(\"The visualization of the clustered data.\")\n", + " ax2.set_xlabel(\"Feature space for the 1st feature\")\n", + " ax2.set_ylabel(\"Feature space for the 2nd feature\")\n", + "\n", + " plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n", + " \"with n_clusters = %d\" % n_clusters),\n", + " fontsize=14, fontweight='bold')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "None of the graphs appear to have clusters below the threshold. However when n_clusters = 9 appears to be the most uniform and so we'll go with this for our n_clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "kmeans = KMeans(n_clusters=9)\n", + "kmeans.fit(X_train)\n", + "y_train_pred = kmeans.predict(X_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "cluster1 = X_train[y_train_pred==1]\n", + "cluster4 = X_train[y_train_pred==4]" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "45\n" + ] + } + ], + "source": [ + "print(cluster1.shape[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display images falling into cluster 1\n", + "# Note that most of these images appear to be men and a few have glasses\n", + "\n", + "plt.imshow(cluster1[random.randint(0,cluster1.shape[0] - 1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display images falling into cluster 4\n", + "# Note that many of these images have people with smaller, rounded chins\n", + "\n", + "plt.imshow(cluster4[random.randint(0,cluster4.shape[0] - 1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 11**\n", + "\n", + "Train a classifier on the training set and evaluate on val set. Then reduce dimensionality using K-means and train a new classifier. search for best number of clusters. See how it performs and compare." + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='scale', kernel='rbf',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "svc = SVC()\n", + "svc.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.996875" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "svc.score(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.975" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "svc.score(X_val, y_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(memory=None,\n", + " steps=[('kmeans',\n", + " KMeans(algorithm='auto', copy_x=True, init='k-means++',\n", + " max_iter=300, n_clusters=50, n_init=10, n_jobs=None,\n", + " precompute_distances='auto', random_state=None,\n", + " tol=0.0001, verbose=0)),\n", + " ('svc',\n", + " SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None,\n", + " coef0=0.0, decision_function_shape='ovr', degree=3,\n", + " gamma='scale', kernel='rbf', max_iter=-1,\n", + " probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False))],\n", + " verbose=False)" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "\n", + "pipeline = Pipeline([\n", + " ('kmeans', KMeans(n_clusters=50)),\n", + " ('svc', SVC())\n", + "])\n", + "\n", + "pipeline.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.475" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Note that this dimensionality reduction does terribly\n", + "\n", + "pipeline.score(X_val, y_val)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fitting 4 folds for each of 98 candidates, totalling 392 fits\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\users\\tsb\\appdata\\local\\programs\\python\\python37\\lib\\site-packages\\sklearn\\model_selection\\_split.py:667: UserWarning: The least populated class in y has only 3 members, which is less than n_splits=4.\n", + " % (min_groups, self.n_splits)), UserWarning)\n", + "[Parallel(n_jobs=-1)]: Using backend LokyBackend with 8 concurrent workers.\n", + "[Parallel(n_jobs=-1)]: Done 25 tasks | elapsed: 15.7s\n", + "[Parallel(n_jobs=-1)]: Done 146 tasks | elapsed: 3.4min\n", + "[Parallel(n_jobs=-1)]: Done 349 tasks | elapsed: 16.0min\n", + "[Parallel(n_jobs=-1)]: Done 392 out of 392 | elapsed: 19.6min finished\n" + ] + }, + { + "data": { + "text/plain": [ + "GridSearchCV(cv=4, error_score=nan,\n", + " estimator=Pipeline(memory=None,\n", + " steps=[('kmeans',\n", + " KMeans(algorithm='auto', copy_x=True,\n", + " init='k-means++', max_iter=300,\n", + " n_clusters=50, n_init=10,\n", + " n_jobs=None,\n", + " precompute_distances='auto',\n", + " random_state=None, tol=0.0001,\n", + " verbose=0)),\n", + " ('svc',\n", + " SVC(C=1.0, break_ties=False,\n", + " cache_size=200, class_weight=None,\n", + " coef0=0.0,\n", + " decision_function_shape='ovr',\n", + " degree=3, gamma='scale',\n", + " kernel='rbf', max_iter=-1,\n", + " probability=False,\n", + " random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False))],\n", + " verbose=False),\n", + " iid='deprecated', n_jobs=-1,\n", + " param_grid={'kmeans__n_clusters': range(2, 100)},\n", + " pre_dispatch='2*n_jobs', refit=True, return_train_score=False,\n", + " scoring=None, verbose=2)" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "\n", + "param_grid = dict(kmeans__n_clusters=range(2,100))\n", + "grid_clf = GridSearchCV(pipeline, param_grid, cv=4, verbose=2, n_jobs=-1)\n", + "grid_clf.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'kmeans__n_clusters': 68}" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.best_params_" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.80625" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.score(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid_clf.score(X_val, y_val)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**EXERCISE 12**\n", + "\n", + "Train a Gaussian mixture on Olivetti dataset. Speed up with PCA(.99 variance). Generate some new faces using sample() method and visualize with PCA inverse_transform() method. Mess with images and see if the model can handle it. " + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Pipeline(memory=None,\n", + " steps=[('pca',\n", + " PCA(copy=True, iterated_power='auto', n_components=0.99,\n", + " random_state=None, svd_solver='auto', tol=0.0,\n", + " whiten=False)),\n", + " ('bgm',\n", + " BayesianGaussianMixture(covariance_prior=None,\n", + " covariance_type='full',\n", + " degrees_of_freedom_prior=None,\n", + " init_params='kmeans', max_iter=100,\n", + " mean_precision_prior=None,\n", + " mean_prior=None, n_components=50,\n", + " n_init=10, random_state=None,\n", + " reg_covar=1e-06, tol=0.001, verbose=0,\n", + " verbose_interval=10, warm_start=False,\n", + " weight_concentration_prior=None,\n", + " weight_concentration_prior_type='dirichlet_process'))],\n", + " verbose=False)" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "from sklearn.mixture import BayesianGaussianMixture as BGM\n", + "\n", + "pipeline = Pipeline([\n", + " ('pca', PCA(n_components=0.99)),\n", + " ('bgm', BGM(n_components=50, n_init=10))\n", + "])\n", + "\n", + "pipeline.fit(X_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [], + "source": [ + "# Generate new samples from our gaussian distributions\n", + "X_new, y_new = pipeline['bgm'].sample(6)\n", + "\n", + "# Reverse our PCA dimensional reduction\n", + "X_new = pipeline['pca'].inverse_transform(X_new)" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Display random recreated image\n", + "plt.imshow(X_new[random.randint(0, X_new.shape[0]-1)].reshape(64,64), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}