{ "cells": [ { "cell_type": "markdown", "id": "e663e710", "metadata": {}, "source": [ "## Componentes principales\n", "### 1. Inicializacion" ] }, { "cell_type": "code", "execution_count": 3, "id": "4e920edc", "metadata": {}, "outputs": [], "source": [ "# Librerias\n", "# 0. Librerias y Dataset\n", "import sklearn\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import os\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "code", "execution_count": 10, "id": "8dd91340", "metadata": {}, "outputs": [], "source": [ "# Preparando el DF\n", "separador=os.sep\n", "nombreArchivo=\"diabetes.csv\"\n", "archivo=str(os.getcwd())+str(separador)+\"datasets\"+str(separador)+nombreArchivo\n", "df = pd.read_csv(archivo)" ] }, { "cell_type": "markdown", "id": "792bc5ad", "metadata": {}, "source": [ "### 2. Matriz de correlacion" ] }, { "cell_type": "code", "execution_count": 11, "id": "800e2da8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matriz_correlacion = df.corr()\n", "sns.heatmap(matriz_correlacion, annot = True)\n", "plt.show()\n", "fig=plt.figure(figsize=(9, 6))" ] }, { "cell_type": "markdown", "id": "309dde32", "metadata": {}, "source": [ "Observar que la matriz de correlación es simétrica, por lo tanto, es diagonalizable." ] }, { "cell_type": "markdown", "id": "bb8d7b15", "metadata": {}, "source": [ "### 2. Analisis de Componentes Principales" ] }, { "cell_type": "code", "execution_count": 12, "id": "0973ddf2", "metadata": {}, "outputs": [], "source": [ "# 2.1. Matriz de Covarianza\n", "X = df.iloc[:,0:df.shape[1]-1].values\n", "y = df.iloc[:,df.shape[1]-1].values\n", "#Aplicamos una transformación de los datos para poder aplicar las propiedades de la distribución normal\n", "X_std = StandardScaler().fit_transform(X)\n", "matriz_covarianza=np.cov(X_std.T)\n", "auto_valores, auto_vectores = np.linalg.eig(matriz_covarianza)\n", "# Hacemos una lista de parejas (autovector, autovalor) \n", "auto_pares = [(np.abs(auto_valores[i]), auto_vectores[:,i]) for i in range(len(auto_valores))]\n", "# Ordenamos estas parejas den orden descendiente con la función sort\n", "auto_pares.sort(key=lambda x: x[0], reverse=True)" ] }, { "cell_type": "code", "execution_count": 13, "id": "a46dae60", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 2.2. Varianza Explicada:\n", "total = sum(auto_valores)\n", "var_exp = [(i / total)*100 for i in (auto_valores)]# sorted(auto_valores, reverse=True)]\n", "acum_var_exp = np.cumsum(var_exp)\n", "# Representamos en un diagrama de barras la varianza explicada por cada autovalor, y la acumulada\n", "with plt.style.context('seaborn-pastel'):\n", " fig=plt.figure(figsize=(9, 6))\n", " plt.bar(range(df.shape[1]-1), var_exp, alpha=0.5, align='center',\n", " label='Varianza individual explicada', color='g')\n", " plt.step(range(df.shape[1]-1), acum_var_exp, where='mid', linestyle='--', label='Varianza explicada acumulada')\n", " plt.ylabel('Ratio de Varianza Explicada')\n", " plt.xlabel('Componentes Principales')\n", " plt.legend(loc='best')\n", " plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "id": "88bc07e5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 5 }