From cbf651bfe90be3c16349a5bcf66fc6b1971c4cec Mon Sep 17 00:00:00 2001 From: Lucas de Sousa Fernandes Date: Tue, 19 Dec 2017 23:58:37 -0300 Subject: [PATCH] Create clustering-exercicio-Lucas-S-Fernandes.ipynb --- ...ustering-exercicio-Lucas-S-Fernandes.ipynb | 358 ++++++++++++++++++ 1 file changed, 358 insertions(+) create mode 100644 2017/09-clustering/clustering-exercicio-Lucas-S-Fernandes.ipynb diff --git a/2017/09-clustering/clustering-exercicio-Lucas-S-Fernandes.ipynb b/2017/09-clustering/clustering-exercicio-Lucas-S-Fernandes.ipynb new file mode 100644 index 0000000..1b3b443 --- /dev/null +++ b/2017/09-clustering/clustering-exercicio-Lucas-S-Fernandes.ipynb @@ -0,0 +1,358 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Exercícios\n", + "\n", + "1 - Aplique os algoritmos K-means [1] e AgglomerativeClustering [2] em qualquer dataset que você desejar (recomendação: iris). Compare os resultados utilizando métricas de avaliação de clusteres (completeness e homogeneity, por exemplo) [3].\n", + "\n", + "* [1] http://scikit-learn.org/stable/modules/clustering.html#k-means\n", + "\n", + "* [2] http://scikit-learn.org/0.17/modules/clustering.html#hierarchical-clustering\n", + "\n", + "* [3] http://scikit-learn.org/stable/modules/clustering.html#clustering-evaluation\n", + "\n", + "2 - Qual o valor de K (número de clusteres) você escolheu para a questão anterior? Desenvolva o Método do Cotovelo (não utilizar lib!) e descubra o K mais adequado. Após descobrir, aplique novamente o K-means com o K adequado. \n", + "\n", + "* Ajuda: atributos do [k-means](http://scikit-learn.org/0.17/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans)\n", + "\n", + "3 - Após a questão 2, você aplicou o algoritmo com K apropriado. Refaça o cálculo das métricas de acordo com os resultados de clusters obtidos com a questão anterior e verifique se o resultado melhorou.\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sklearn.datasets import load_iris\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn import decomposition\n", + "from sklearn import metrics\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.cluster import AgglomerativeClustering\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "dataset = load_iris()\n", + "X = dataset.data\n", + "y = dataset.target" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "kmeans = KMeans(n_clusters=3, random_state=0).fit(X)\n", + "predictions = kmeans.predict(X)\n", + "reduced_data = decomposition.PCA(n_components=2).fit_transform(X)\n", + "reduced_data_df = pd.DataFrame(reduced_data)\n", + "reduced_data_df[2] = predictions" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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nESnRYIE8fuqzDO5CemeFulkVPSeDyIwJILPzu1t5AB/kvov0RW9yIoQeFmoS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\nAX+A0hIf7lQXGVnnMW/lw6Q00nmrRKLFXyW0n/7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UmXk2Zt5LUccKLREt5VlE81WI5n+ipU5Fs/YC5+VE7Zmb+M9q2RZXzKzox4UO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\nQFb8jTEmA/0/vKLErMpELogAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=reduced_data_df[2])\n", + "plt.show()\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=y)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "agglomerative = AgglomerativeClustering(n_clusters=3, affinity=\"euclidean\", linkage=\"complete\").fit_predict(X)\n", + "agglomerativeManhattan = AgglomerativeClustering(n_clusters=3, affinity=\"manhattan\", linkage=\"complete\").fit_predict(X)\n", + "agglomerativeCosine = AgglomerativeClustering(n_clusters=3, affinity=\"cosine\", linkage=\"complete\").fit_predict(X)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WEn1qNW+lIkV5qXVbulQtOHrdiuubC9ExfP/6NDYt2kFIqIleT9xG32d7MOr+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\nRXAQuiIEDmTrQVz7dyXdp5COTd4Yv8j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A2or9+7j2h+8wpERKiS4NbuzSjfv7hve7TbDbGXveYF46ZxC6lEVpn1d3PC1E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\n2zPaMPCKvtqsk6C02Uc1SCVFXubd/BTvvvgvyv1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RDkY/fgV6Ibt+KYpSeptTUsIez/Z5yXBXzGI2KS3I+ZjQvQDcyKz/VUgMJVUmyV8IMVgI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\nnYEJto7FilEpGlXV8wT2bU3mw/u/ZNX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HjiGjzpr8HhEy/X5ml8Q2eNHQVrR0Alr2E7T8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\nkSFuZ4pHRM4BdqnqstY+V8q0cVTViS3c9a/Ai8DNCYzTpOa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UmXk2Zt5LUccKLREt5VlE81WI5n+ipU5Fs/YC5+VE7Zmb+M9q2RZXzKzox4UO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\nQFb8jTEmA/0/vKLErMpELogAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=agglomerative)\n", + "plt.show()\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=agglomerativeManhattan)\n", + "plt.show()\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=agglomerativeCosine)\n", + "plt.show()\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=y)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K-Means Metrics \n", + " Homogeneity: 0.751485402199 \n", + " Completeness: 0.764986151449 \n", + "\n", + "Agglomerative Clustering Metrics - Euclidean \n", + " Homogeneity: 0.700115437096 \n", + " Completeness: 0.745438275302 \n", + "\n", + "Agglomerative Clustering Metrics - Manhattan \n", + " Homogeneity: 0.778176865951 \n", + " Completeness: 0.803588540623 \n", + "\n", + "Agglomerative Clustering Metrics - Cosine \n", + " Homogeneity: 0.717058965034 \n", + " Completeness: 0.773421193274\n" + ] + } + ], + "source": [ + "## Comparação\n", + "#Kmeans\n", + "metric_Kmeans_homo = metrics.homogeneity_score(y, reduced_data_df[2])\n", + "metric_Kmeans_comp = metrics.completeness_score(y, reduced_data_df[2]) \n", + "\n", + "#Agglomerative - Euclidean\n", + "metric_AggloEuclidean_homo = metrics.homogeneity_score(y, agglomerative)\n", + "metric_AggloEuclidean_comp = metrics.completeness_score(y, agglomerative) \n", + "\n", + "#Agglomerative - Manhattan\n", + "metric_AggloManhattan_homo = metrics.homogeneity_score(y, agglomerativeManhattan)\n", + "metric_AggloManhattan_comp = metrics.completeness_score(y, agglomerativeManhattan) \n", + "\n", + "#Agglomerative - Cosine\n", + "metric_AggloCosine_homo = metrics.homogeneity_score(y, agglomerativeCosine)\n", + "metric_AggloCosine_comp = metrics.completeness_score(y, agglomerativeCosine) \n", + "\n", + "print (\"K-Means Metrics \\n Homogeneity:\", metric_Kmeans_homo, \"\\n Completeness:\", metric_Kmeans_comp, \"\\n\")\n", + "print (\"Agglomerative Clustering Metrics - Euclidean \\n Homogeneity:\", metric_AggloEuclidean_homo, \"\\n Completeness:\", metric_AggloEuclidean_comp, \"\\n\")\n", + "print (\"Agglomerative Clustering Metrics - Manhattan \\n Homogeneity:\", metric_AggloManhattan_homo, \"\\n Completeness:\", metric_AggloManhattan_comp, \"\\n\")\n", + "print (\"Agglomerative Clustering Metrics - Cosine \\n Homogeneity:\", metric_AggloCosine_homo, \"\\n Completeness:\", metric_AggloCosine_comp)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.spatial.distance import cdist\n", + "\n", + "distortions = []\n", + "K = range(1,10)\n", + "for k in K:\n", + " kmeanModel = KMeans(n_clusters=k).fit(X)\n", + " kmeanModel.fit(X)\n", + " distortions.append(sum(np.min(cdist(X, kmeanModel.cluster_centers_, 'euclidean'), axis=1)) / X.shape[0])\n", + "\n", + "plt.plot(K, distortions, 'ro-')\n", + "plt.xlabel('k')\n", + "plt.ylabel('Distortion')\n", + "plt.title('The Elbow Method showing the optimal k')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Uyc/m18byY4+x8dSnjzAr80t+zv6KD1aM5Lx253DTQ9dhsedPHTVz7wslE36L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\nfqZ162Qo6/YxzVKwLMTcWx7htT/9g2gkQqceHbn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UmXk2Zt5LUccKLREt5VlE81WI5n+ipU5Fs/YC5+VE7Zmb+M9q2RZXzKzox4UO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\nQFb8jTEmA/0/vKLErMpELogAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kmeansOptimal = KMeans(n_clusters=2).fit(X)\n", + "predictions = kmeansOptimal.predict(X)\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=predictions)\n", + "plt.show()\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(reduced_data_df[0], reduced_data_df[1], c=y)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "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": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}