{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# **Ciencia de Datos 2021** Alan Reyes-Figueroa\n", "#### Lab 01: Análisis de componentes principales (PCA)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "#import plotly\n", "\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Leer datos" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 9)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('deport.csv', sep=',', header=0)\n", "data.shape" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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100m200m400m800m1500m5km10kmmarathcountry
010.3920.8146.841.813.7014.0429.36137.72argentin
110.3120.0644.841.743.5713.2827.66128.30australi
210.4420.8146.821.793.6013.2627.72135.90austria
310.3420.6845.041.733.6013.2227.45129.95belgium
410.2820.5845.911.803.7514.6830.55146.62bermuda
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" ], "text/plain": [ " 100m 200m 400m 800m 1500m 5km 10km marath country\n", "0 10.39 20.81 46.84 1.81 3.70 14.04 29.36 137.72 argentin\n", "1 10.31 20.06 44.84 1.74 3.57 13.28 27.66 128.30 australi\n", "2 10.44 20.81 46.82 1.79 3.60 13.26 27.72 135.90 austria\n", "3 10.34 20.68 45.04 1.73 3.60 13.22 27.45 129.95 belgium\n", "4 10.28 20.58 45.91 1.80 3.75 14.68 30.55 146.62 bermuda" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Exploración de datos" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100m 0\n", "200m 0\n", "400m 0\n", "800m 0\n", "1500m 0\n", "5km 0\n", "10km 0\n", "marath 0\n", "country 0\n", "dtype: int64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# contar si hay datos faltantes\n", "\n", "data.isna().sum()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100m float64\n", "200m float64\n", "400m float64\n", "800m float64\n", "1500m float64\n", "5km float64\n", "10km float64\n", "marath float64\n", "country object\n", "dtype: object" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# tipo de datos\n", "\n", "data.dtypes" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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100m200m400m800m1500m5km10kmmarath
count55.00000055.00000055.00000055.00000055.00000055.00000055.00000055.000000
mean10.47109120.94036446.4387271.7932733.69818213.84581828.989091136.624000
std0.3514290.6446471.4570180.0636850.1559090.8011601.8077329.227033
min9.93000019.72000043.8600001.7000003.51000013.01000027.380000128.220000
25%10.27000020.59500045.5600001.7550003.60000013.27500027.695000130.705000
50%10.41000020.81000046.1000001.7900003.64000013.50000028.190000132.350000
75%10.59000021.28500047.3000001.8150003.77000014.14500029.870000139.300000
max12.18000023.20000052.9400002.0200004.24000016.70000035.380000164.700000
\n", "
" ], "text/plain": [ " 100m 200m 400m 800m 1500m 5km \\\n", "count 55.000000 55.000000 55.000000 55.000000 55.000000 55.000000 \n", "mean 10.471091 20.940364 46.438727 1.793273 3.698182 13.845818 \n", "std 0.351429 0.644647 1.457018 0.063685 0.155909 0.801160 \n", "min 9.930000 19.720000 43.860000 1.700000 3.510000 13.010000 \n", "25% 10.270000 20.595000 45.560000 1.755000 3.600000 13.275000 \n", "50% 10.410000 20.810000 46.100000 1.790000 3.640000 13.500000 \n", "75% 10.590000 21.285000 47.300000 1.815000 3.770000 14.145000 \n", "max 12.180000 23.200000 52.940000 2.020000 4.240000 16.700000 \n", "\n", " 10km marath \n", "count 55.000000 55.000000 \n", "mean 28.989091 136.624000 \n", "std 1.807732 9.227033 \n", "min 27.380000 128.220000 \n", "25% 27.695000 130.705000 \n", "50% 28.190000 132.350000 \n", "75% 29.870000 139.300000 \n", "max 35.380000 164.700000 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# obtener estadísticas simples\n", "\n", "data.describe()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# histogramas\n", "\n", "plt.figure()\n", "data.hist(figsize=(8,8))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# pairplots\n", "\n", "plt.figure(figsize=(8,8))\n", "sns.pairplot(data, diag_kind='kde')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Descomposición SVD" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 8)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# convertir los datos a un np.array\n", "\n", "names = data.values[:,-1]\n", "\n", "X = data.values[:,:-1].astype(np.float32)\n", "X.shape" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(X)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# centramos los datos\n", "\n", "mu = X.mean(axis=0)\n", "\n", "std = X.std(axis=0)\n", "\n", "Xc = (X - mu) / std" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 10.471092 , 20.940363 , 46.438732 , 1.7932729, 3.6981816,\n", " 13.8458185, 28.989094 , 136.624 ], dtype=float32)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mu" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-3.6434694e-06, 1.0295348e-06, -3.5004182e-06, -2.0894138e-06,\n", " 1.0447069e-06, -3.8580461e-07, -1.5388836e-06, 8.1929295e-07],\n", " dtype=float32)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Xc.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Otra forma de centrar los datos usando matrices de proyección\n", "\n", "#n = X.shape[0]\n", "#one = np.ones(n).reshape(-1,1)\n", "\n", "#J = np.eye(n) - one@(one.T)/n # matriz de proyección\n", "#Xc = J@X # centramos los datos\n", "#Xc = Xc / std # estandarización" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3.75457241e-16, -3.27011145e-16, -3.67786609e-15, -2.17199995e-15,\n", " 1.40493677e-15, 1.74405944e-15, -6.05576195e-16, -1.29189588e-16])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Xc.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# matriz de covarianzas\n", "Cov = (Xc.T) @ Xc # @ = producto matricial" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[55. 50.75 46.26 41.58 38.51 34.07 34.79 28.6 ]\n", " [50.75 55. 46.79 44.36 42.62 38.25 38.31 32.79]\n", " [46.26 46.79 55. 47.86 45.94 42.82 43.3 38.77]\n", " [41.58 44.36 47.86 55. 50.49 47.5 47.8 44.36]\n", " [38.51 42.62 45.94 50.49 55. 51.05 51.41 47.61]\n", " [34.07 38.25 42.82 47.5 51.05 55. 53.6 51.27]\n", " [34.79 38.31 43.3 47.8 51.41 53.6 55. 51.87]\n", " [28.6 32.79 38.77 44.36 47.61 51.27 51.87 55. ]]\n" ] } ], "source": [ "print(np.round(Cov, 2))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# descomposición SVD de la matriz Cov(X)\n", "U, S, V = np.linalg.svd(Cov, full_matrices=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.32 -0.57 0.33 -0.13 -0.26 0.59 -0.14 0.11]\n", " [-0.34 -0.46 0.36 0.26 0.15 -0.66 0.11 -0.1 ]\n", " [-0.36 -0.25 -0.56 -0.65 0.22 -0.16 0. -0. ]\n", " [-0.37 -0.01 -0.53 0.48 -0.54 0.01 0.24 -0.04]\n", " [-0.37 0.14 -0.15 0.4 0.49 0.16 -0.61 0.14]\n", " [-0.36 0.31 0.19 -0.03 0.25 0.14 0.59 0.55]\n", " [-0.37 0.31 0.18 -0.08 0.13 0.22 0.18 -0.8 ]\n", " [-0.34 0.44 0.26 -0.3 -0.5 -0.32 -0.4 0.16]]\n" ] } ], "source": [ "print(np.round(U, 2))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[364.22 48.27 8.76 6.82 4.39 3.74 2.55 1.24]\n" ] } ], "source": [ "print(np.round(S, 2))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.32 -0.57 0.33 -0.13 -0.26 0.59 -0.14 0.11]\n", " [-0.34 -0.46 0.36 0.26 0.15 -0.66 0.11 -0.1 ]\n", " [-0.36 -0.25 -0.56 -0.65 0.22 -0.16 0. -0. ]\n", " [-0.37 -0.01 -0.53 0.48 -0.54 0.01 0.24 -0.04]\n", " [-0.37 0.14 -0.15 0.4 0.49 0.16 -0.61 0.14]\n", " [-0.36 0.31 0.19 -0.03 0.25 0.14 0.59 0.55]\n", " [-0.37 0.31 0.18 -0.08 0.13 0.22 0.18 -0.8 ]\n", " [-0.34 0.44 0.26 -0.3 -0.5 -0.32 -0.4 0.16]]\n" ] } ], "source": [ "print(np.round(V.T, 2))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Ahora vamos a usar la descomposición SVD de Xc\n", "\n", "U, S, V = np.linalg.svd(Xc)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.01 -0.05 -0.11 ... -0.2 -0.14 0.13]\n", " [-0.13 -0.03 0.01 ... -0.2 -0.18 0.14]\n", " [-0.04 0.07 -0.14 ... 0.14 0.04 0.01]\n", " ...\n", " [-0.18 -0.16 -0.01 ... 0.89 -0.07 -0.06]\n", " [-0.14 -0.11 -0.07 ... -0.08 0.92 -0.06]\n", " [ 0.38 -0.28 -0.24 ... -0.03 -0.04 0.57]]\n" ] } ], "source": [ "print(np.round(U, 2))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 55)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U.shape" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.32 0.57 0.33 -0.13 0.26 -0.59 0.14 -0.11]\n", " [ 0.34 0.46 0.36 0.26 -0.15 0.66 -0.11 0.1 ]\n", " [ 0.36 0.25 -0.56 -0.65 -0.22 0.16 -0. 0. ]\n", " [ 0.37 0.01 -0.53 0.48 0.54 -0.01 -0.24 0.04]\n", " [ 0.37 -0.14 -0.15 0.4 -0.49 -0.16 0.61 -0.14]\n", " [ 0.36 -0.31 0.19 -0.03 -0.25 -0.14 -0.59 -0.55]\n", " [ 0.37 -0.31 0.18 -0.08 -0.13 -0.22 -0.18 0.8 ]\n", " [ 0.34 -0.44 0.26 -0.3 0.5 0.32 0.4 -0.16]]\n" ] } ], "source": [ "print(np.round(V.T, 2))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(8, 8)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1D" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 1)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# proyección a 1D\n", "\n", "X1 = Xc @ (V[:1,:].T) #@np.diag(S[:1])\n", "X1.shape" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,3))\n", "#plt.plot(X1, np.zeros(X1.shape), 'bo')\n", "plt.scatter(X1, np.zeros(X1.shape))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,3))\n", "plt.hist(X1, bins=17)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2D" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 2)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# proyección a 2D\n", "\n", "X2 = Xc @ (V[:2,:].T) #@np.diag(S[:2])\n", "X2.shape" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "plt.scatter(X2[:,0], X2[:,1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,10))\n", "plt.scatter(X2[:,0], X2[:,1])\n", "for i in range(0, X2.shape[0]):\n", " plt.annotate(names[i], (X2[i,0], X2[i,1]))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 3)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# proyección a 2D\n", "\n", "X3 = Xc@(V[:3,:].T) #@np.diag(S[:2])\n", "X3.shape" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15,15))\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.scatter(X3[:,0], X3[:,1], X3[:,2], marker='o')\n", "ax.set_xlabel('PC1')\n", "ax.set_ylabel('PC2')\n", "ax.set_zlabel('PC3')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. PCA usando scikit-learn" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(55, 8)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pcamodel = PCA(n_components=8)\n", "pca2 = pcamodel.fit_transform(Xc)\n", "pca2.shape" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([6.74477831, 0.89387029, 0.16227157, 0.12634658, 0.08135953,\n", " 0.06922378, 0.04727915, 0.02301863])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pcamodel.explained_variance_" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.82776828, 0.10970227, 0.01991515, 0.01550617, 0.00998503,\n", " 0.00849565, 0.00580244, 0.00282501])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pcamodel.explained_variance_ratio_" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.bar(range(1,len(pcamodel.explained_variance_ )+1),pcamodel.explained_variance_ )\n", "plt.ylabel('Explained variance')\n", "plt.xlabel('Components')\n", "plt.plot(range(1,len(pcamodel.explained_variance_ )+1),\n", " np.cumsum(pcamodel.explained_variance_),\n", " c='red',\n", " label=\"Cumulative Explained Variance\")\n", "plt.legend(loc='upper left')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "def mybiplot(score, coeff, labels=None):\n", " xs = score[:,0]\n", " ys = score[:,1]\n", " n = coeff.shape[0]\n", " scalex = 1.0/(xs.max() - xs.min())\n", " scaley = 1.0/(ys.max() - ys.min())\n", " plt.scatter(xs * scalex,ys * scaley,s=5)\n", " for i in range(n):\n", " plt.arrow(0, 0, coeff[i,0], coeff[i,1],color = 'r',alpha = 0.5)\n", " if labels is None:\n", " plt.text(coeff[i,0]* 1.15, coeff[i,1] * 1.15, \"Var\"+str(i+1), color = 'green', ha = 'center', va = 'center')\n", " else:\n", " plt.text(coeff[i,0]* 1.15, coeff[i,1] * 1.15, labels[i], color = 'g', ha = 'center', va = 'center')\n", " \n", " plt.xlabel(\"PC{}\".format(1))\n", " plt.ylabel(\"PC{}\".format(2))\n", " plt.grid()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "mybiplot(pca2[:,0:2], np.transpose(pcamodel.components_[0:2, :]), list(data.columns[:-1]))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.32 -0.57 0.33 -0.13 -0.26 0.59 -0.14 0.11]\n", " [ 0.34 -0.46 0.36 0.26 0.15 -0.66 0.11 -0.1 ]\n", " [ 0.36 -0.25 -0.56 -0.65 0.22 -0.16 0. -0. ]\n", " [ 0.37 -0.01 -0.53 0.48 -0.54 0.01 0.24 -0.04]\n", " [ 0.37 0.14 -0.15 0.4 0.49 0.16 -0.61 0.14]\n", " [ 0.36 0.31 0.19 -0.03 0.25 0.14 0.59 0.55]\n", " [ 0.37 0.31 0.18 -0.08 0.13 0.22 0.18 -0.8 ]\n", " [ 0.34 0.44 0.26 -0.3 -0.5 -0.32 -0.4 0.16]]\n" ] } ], "source": [ "# esta matriz da los componentes principales\n", "\n", "components = pcamodel.components_.T\n", "print(np.round(components, 2))" ] }, { "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": "3.6.10" } }, "nbformat": 4, "nbformat_minor": 4 }