{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ejercicio Python de K-means\n", "Realizaremos un ejercicio de prueba para comprender como funciona este algoritmo" ] }, { "cell_type": "code", "execution_count": 232, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sb\n", "from sklearn.cluster import KMeans\n", "from sklearn.metrics import pairwise_distances_argmin_min\n", "\n", "%matplotlib inline\n", "from mpl_toolkits.mplot3d import Axes3D\n", "plt.rcParams['figure.figsize'] = (16, 9)\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cargamos los datos de entrada del archivo csv" ] }, { "cell_type": "code", "execution_count": 233, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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usuarioopcoexagnewordcountcategoria
03gerardpique34.29795328.14881941.94881929.3703159.84157537.09457
1aguerosergiokun44.98684220.52586537.93894724.27909810.36240678.79707
2albertochicote41.73385413.74541738.99989634.6455218.83697949.26044
3AlejandroSanz40.37715415.37746252.33753831.0821545.03223180.45382
4alfredocasero136.66467719.64225848.53080631.1388717.30596847.06454
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" ], "text/plain": [ " usuario op co ex ag ne \\\n", "0 3gerardpique 34.297953 28.148819 41.948819 29.370315 9.841575 \n", "1 aguerosergiokun 44.986842 20.525865 37.938947 24.279098 10.362406 \n", "2 albertochicote 41.733854 13.745417 38.999896 34.645521 8.836979 \n", "3 AlejandroSanz 40.377154 15.377462 52.337538 31.082154 5.032231 \n", "4 alfredocasero1 36.664677 19.642258 48.530806 31.138871 7.305968 \n", "\n", " wordcount categoria \n", "0 37.0945 7 \n", "1 78.7970 7 \n", "2 49.2604 4 \n", "3 80.4538 2 \n", "4 47.0645 4 " ] }, "execution_count": 233, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dataframe = pd.read_csv(r\"analisis.csv\")\n", "dataframe.head()" ] }, { "cell_type": "code", "execution_count": 234, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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opcoexagnewordcountcategoria
count140.000000140.000000140.000000140.000000140.000000140.000000140.000000
mean44.41459122.97713540.76442822.9185288.00009898.7154844.050000
std8.4257235.8168517.1852467.6571223.03924844.7140712.658839
min30.0204657.85275618.6935429.3059851.0302135.0208001.000000
25%38.20648419.74029936.09572217.0509936.08614466.2184752.000000
50%44.50709122.46671841.45749221.3845547.83972294.7114003.500000
75%49.36592326.09160645.19776928.6788679.758189119.7079257.000000
max71.69612949.63786359.82484440.58316223.978462217.1832009.000000
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" ], "text/plain": [ " op co ex ag ne wordcount \\\n", "count 140.000000 140.000000 140.000000 140.000000 140.000000 140.000000 \n", "mean 44.414591 22.977135 40.764428 22.918528 8.000098 98.715484 \n", "std 8.425723 5.816851 7.185246 7.657122 3.039248 44.714071 \n", "min 30.020465 7.852756 18.693542 9.305985 1.030213 5.020800 \n", "25% 38.206484 19.740299 36.095722 17.050993 6.086144 66.218475 \n", "50% 44.507091 22.466718 41.457492 21.384554 7.839722 94.711400 \n", "75% 49.365923 26.091606 45.197769 28.678867 9.758189 119.707925 \n", "max 71.696129 49.637863 59.824844 40.583162 23.978462 217.183200 \n", "\n", " categoria \n", "count 140.000000 \n", "mean 4.050000 \n", "std 2.658839 \n", "min 1.000000 \n", "25% 2.000000 \n", "50% 3.500000 \n", "75% 7.000000 \n", "max 9.000000 " ] }, "execution_count": 234, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dataframe.describe()" ] }, { "cell_type": "code", "execution_count": 235, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "categoria\n", "1 27\n", "2 34\n", "3 9\n", "4 19\n", "5 4\n", "6 8\n", "7 17\n", "8 16\n", "9 6\n", "dtype: int64\n" ] } ], "source": [ "#vemos cuantos usuarios hay de cada categoria\n", "print(dataframe.groupby('categoria').size())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las categorias son: 1-actores 2-cantantes 3-modelo 4-TV 5-radio 6-tecnología 7-deportes 8-politica 9-escritor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizamos los datos" ] }, { "cell_type": "code", "execution_count": 236, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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p0yZVVFTo+PHjPP8MwKd79s4772jlypUaM2aMJKmgoEBTpkwxucLI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\nKhUUFGjq1Kk6ffq0kpOTJUl2u10vvPD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataframe.drop(['categoria'],1).hist()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 237, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 237, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0mjD91rcw9f7PYwacnoFjsKy7X3cAK7Qy7Nx9AKMjDoyN9qCyqhNV1V0QWhmQ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\nuiE03AixE9I123RQjNoQHC0rpPgRaaG9bmQjVoeboii4jhiIibl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LlgGwxr6xWhwFGEvN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\nIiIiVdiQJCIiIiIiIlX+P+CbKMsjZHW/AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sb.pairplot(dataframe.dropna(), hue='categoria',size=4,vars=[\"op\",\"ex\",\"ag\"],kind='scatter')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creamos el modelo" ] }, { "cell_type": "code", "execution_count": 268, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(140, 3)" ] }, "execution_count": 268, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Para el ejercicio, sólo seleccionamos 3 dimensiones, para poder graficarlo\n", "X = np.array(dataframe[[\"op\",\"ex\",\"ag\"]])\n", "y = np.array(dataframe['categoria'])\n", "X.shape" ] }, { "cell_type": "code", "execution_count": 239, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 239, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Umj9WHBFRVTA4IiJjSCmhlNoxODclENEDAsuy0Ol0sLq6OtZKLqbsp6JJKQsflPFYE5XL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CqDSvDMOAbduFGEdNxnfh1gsRpzFk1n9BSdMUW/Wt6/4Zg372e5v4jxr9vZH3iljJtrS0NDcB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\n0xDP0arX66pWq3PVkJoG3/fleZ6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "colores=['blue','red','green','blue','cyan','yellow','orange','black','pink','brown','purple']\n", "#NOTA: asignamos la posición cero del array repetida pues las categorias comienzan en id 1. \n", "asignar=[]\n", "for row in y:\n", " asignar.append(colores[row])\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=asignar,s=60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Buscamos el valor K" ] }, { "cell_type": "code", "execution_count": 240, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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YN771kT79pMxs57E+yX7J75eSUyS/X2nZudrX2OQUWJ+/9WOKlJTM/bYAcIQowgAAAIdh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\nqyjCkG1pkUq3S9lDZbxet+MAAAAAQK+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Nc = range(1, 20)\n", "kmeans = [KMeans(n_clusters=i) for i in Nc]\n", "kmeans\n", "score = [kmeans[i].fit(X).score(X) for i in range(len(kmeans))]\n", "score\n", "plt.plot(Nc,score)\n", "plt.xlabel('Number of Clusters')\n", "plt.ylabel('Score')\n", "plt.title('Elbow Curve')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 270, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 42.66891482 33.31008136 21.11530482]\n", " [ 35.6040223 47.26344353 34.3528076 ]\n", " [ 50.15530371 40.81295548 17.39048745]\n", " [ 39.48754284 44.64889552 24.1045629 ]\n", " [ 58.70462307 30.53566167 15.72207033]]\n" ] } ], "source": [ "# Para el ejercicio, elijo 5 como un buen valor de K. Pero podría ser otro.\n", "kmeans = KMeans(n_clusters=5).fit(X)\n", "centroids = kmeans.cluster_centers_\n", "print(centroids)" ] }, { "cell_type": "code", "execution_count": 243, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 243, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+lg6VAOD48eO5oVKT2BKQ2Y7BEVFDmJXRzJx5KaVVDybZZteTBhC2B0dllN1H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K52b88Idd7N8v48iRxWtf/HkAy0rwoQ85uVwTMRhFUVCpVABgbMHqxOhYSXss5zyX9UIEOzca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\n5mZJp9NRq9VSq9Xqub9/pbcJd2d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Obtenemos las etiquetas de cada punto de nuestros datos\n", "labels = kmeans.predict(X)\n", "# Obtenemos los centroids\n", "C = kmeans.cluster_centers_\n", "colores=['red','green','blue','cyan','yellow']\n", "asignar=[]\n", "for row in labels:\n", " asignar.append(colores[row])\n", "\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=asignar,s=60)\n", "ax.scatter(C[:, 0], C[:, 1], C[:, 2], marker='*', c=colores, s=1000)" ] }, { "cell_type": "code", "execution_count": 244, "metadata": {}, "outputs": [ { "data": { "image/png": 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WVQzy+/FQTQ0u8XiSXSIRERERtQG8p5PoMBVo0BoklHS7g9GsaXjFbke1IGCHTgezqmKg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\nv7MAjGpG7c+f+jyu+vwq/FL5CzT8el9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22jafJz56NFWjR7fpGJWzZmHcey/ut99GLSsD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Hacemos una proyección a 2D con los diversos ejes \n", "f1 = dataframe['op'].values\n", "f2 = dataframe['ex'].values\n", "\n", "plt.scatter(f1, f2, c=asignar, s=70)\n", "plt.scatter(C[:, 0], C[:, 1], marker='*', c=colores, s=1000)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 245, "metadata": {}, "outputs": [ { "data": { "image/png": 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HlDoGAAAAKhilE9tZ2rK5UDl6OBTStTU1at2h+HWapppsWxssS3e2tRX09Tf0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Hacemos una proyección a 2D con los diversos ejes \n", "f1 = dataframe['op'].values\n", "f2 = dataframe['ag'].values\n", "\n", "plt.scatter(f1, f2, c=asignar, s=70)\n", "plt.scatter(C[:, 0], C[:, 2], marker='*', c=colores, s=1000)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 246, "metadata": {}, "outputs": [ { "data": { "image/png": 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1biTColQAChJzOgEA6ITdEgm9FAwq3U743Cqd1gR6qdCB2+rrtXU6rVcDAa21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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f1 = dataframe['ex'].values\n", "f2 = dataframe['ag'].values\n", "\n", "'''\n", "# este codigo comentado agrega las categorias sobre cada punto\n", "for label, x, y in zip(dataframe['categoria'].values, f1, f2):\n", " plt.annotate(\n", " label,\n", " xy=(x, y), xytext=(-10, 10),\n", " textcoords='offset points', ha='right', va='bottom',\n", " bbox=dict(boxstyle='round,pad=0.5', fc='yellow', alpha=0.5),\n", " arrowprops=dict(arrowstyle = '->', connectionstyle='arc3,rad=0'))\n", "'''\n", "plt.scatter(f1, f2, c=asignar, s=70)\n", "plt.scatter(C[:, 1], C[:, 2], marker='*', c=colores, s=1000)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 247, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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colorcantidad
0red42
1green33
2blue16
3cyan27
4yellow22
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" ], "text/plain": [ " color cantidad\n", "0 red 42\n", "1 green 33\n", "2 blue 16\n", "3 cyan 27\n", "4 yellow 22" ] }, "execution_count": 247, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# contamos cuantos usuarios hay en cada grupo\n", "copy = pd.DataFrame()\n", "copy['usuario']=dataframe['usuario'].values\n", "copy['categoria']=dataframe['categoria'].values\n", "copy['label'] = labels;\n", "cantidadGrupo = pd.DataFrame()\n", "cantidadGrupo['color']=colores\n", "cantidadGrupo['cantidad']=copy.groupby('label').size()\n", "cantidadGrupo" ] }, { "cell_type": "code", "execution_count": 271, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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categoriacantidad
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" ], "text/plain": [ " categoria cantidad\n", "0 0 NaN\n", "1 1 11.0\n", "2 2 15.0\n", "3 3 6.0\n", "4 4 3.0\n", "5 5 1.0\n", "6 6 2.0\n", "7 7 2.0\n", "8 8 1.0\n", "9 9 1.0" ] }, "execution_count": 271, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Veamos cuantos usuarios en cada categoria hay en el grupo 0\n", "group_referrer_index = copy['label'] ==0\n", "group_referrals = copy[group_referrer_index]\n", "\n", "diversidadGrupo = pd.DataFrame()\n", "diversidadGrupo['categoria']=[0,1,2,3,4,5,6,7,8,9]\n", "diversidadGrupo['cantidad']=group_referrals.groupby('categoria').size()\n", "diversidadGrupo" ] }, { "cell_type": "code", "execution_count": 272, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AvrilLavigne 2 0\n", "britneyspears 2 0\n", "celinedion 2 0\n", "Courtney 2 0\n", "Fergie 2 0\n", "IamStevenT 2 0\n", "JessieJ 2 0\n", "jtimberlake 2 0\n", "kanyewest 2 0\n", "katyperry 2 0\n", "KidRock 2 0\n", "LennyKravitz 2 0\n", "MariahCarey 2 0\n", "shakira 2 0\n", "taylorswift13 2 0\n" ] } ], "source": [ "#imprimimos en pantalla los usuarios con categoria 2 del grupo\n", "for index, row in group_referrals.iterrows():\n", " if row[\"categoria\"] == 2:\n", " print (row[\"usuario\"], row[\"categoria\"],row[\"label\"])" ] }, { "cell_type": "code", "execution_count": 251, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 21, 107, 82, 80, 91])" ] }, "execution_count": 251, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#vemos el representante del grupo, el usuario cercano a su centroid\n", "closest, _ = pairwise_distances_argmin_min(kmeans.cluster_centers_, X)\n", "closest" ] }, { "cell_type": "code", "execution_count": 252, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "carmenelectra\n", "Pablo_Iglesias_\n", "JudgeJudy\n", "JPVarsky\n", "kobebryant\n" ] } ], "source": [ "users=dataframe['usuario'].values\n", "for row in closest:\n", " print(users[row])" ] }, { "cell_type": "code", "execution_count": 267, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "andyroddick 7 0\n", "AngelAlessandra 3 0\n", "AvrilLavigne 2 0\n", "BarRefaeli 3 0\n", "britneyspears 2 0\n", "carmenelectra 3 0\n", "celinedion 2 0\n", "CindyCrawford 3 0\n", "CourteneyCox 1 0\n", "Courtney 2 0\n", "Cristiano 7 0\n", "EmWatson 1 0\n", "epunset 6 0\n", "EvaLongoria 3 0\n", "Fergie 2 0\n", "heidiklum 3 0\n", "IamStevenT 2 0\n", "JessieJ 2 0\n", "jimlangevin 8 0\n", "jimmyfallon 4 0\n", "jtimberlake 2 0\n", "justdemi 1 0\n", "kanyewest 2 0\n", "katyperry 2 0\n", "KevinSpacey 1 0\n", "KidRock 2 0\n", "LennyKravitz 2 0\n", "LeoDiCaprio 1 0\n", "MariahCarey 2 0\n", "martinvars 6 0\n", "MelanieGriffith 1 0\n", "MileyCyrus 1 0\n", "Oprah 4 0\n", "PaulaMeliveo 5 0\n", "paulocoelho 9 0\n", "RealHughJackman 1 0\n", "shakira 2 0\n", "taylorswift13 2 0\n", "TheEllenShow 4 0\n", "TheReal_Jlh 1 0\n", "TomCruise 1 0\n", "ZacEfron 1 0\n" ] } ], "source": [ "#miramos los usuarios del grupo 0\n", "for index, row in copy.iterrows():\n", " if row[\"label\"] == 0:\n", " print (row[\"usuario\"], row[\"categoria\"],row[\"label\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clasificación de nuevos registros" ] }, { "cell_type": "code", "execution_count": 273, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3]\n" ] } ], "source": [ "X_new = np.array([[45.92,57.74,15.66]]) #davidguetta personality traits\n", "new_labels = kmeans.predict(X_new)\n", "print(new_labels)\n", "\n", "#NOTA: en el array podemos poner más de un array para evaluar a varios usuarios nuevos a la vez" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NOTA FINAL: Los resultados obtenidos pueden varias de ejecución en ejecución pues al inicializar aleatoriamente los centroids, podemos obtener grupos distintos o los mismos pero en distinto orden y color" ] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }