{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# Aplicación de la LGN: Estimaciones de Integrales con el método de Montecarlo" ], "metadata": { "id": "8CSgns51zrgS" } }, { "cell_type": "markdown", "source": [ "El siguiente notebook se pueden ejecutar las celdas de código de a una, haciendo click en el botón de 'Play' en la esquina superior izquierda. Pueden explorar el efecto de modificar los parámetros.\n", "\n", "Antes de ejecutar cualquiera de las celdas siguientes deben ejecutar esta primera celda:" ], "metadata": { "id": "ycL3af3huXMX" } }, { "cell_type": "code", "source": [ "import matplotlib.pyplot as plt #Manejo de gráficas\n", "import numpy as np #Manejo de vectores y operaciones matemáticas\n", "from numpy import random as rnd #Manejo de vectores aleatorios\n", "import numpy.linalg as la #Álgebra lineal" ], "metadata": { "id": "hhxt5WAVIQ7r" }, "execution_count": 1, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Ejercicio 3, parte 1:\n", "La siguiente sección se hizo basada en la estimación que sugiere el ejercicio 3.1:\n", "\n", "$$ \\frac{b-a}{n} \\sum_{i=1}^n f(U_i) \\xrightarrow[n]{c.s.} ∫_a^b f(x)dx $$" ], "metadata": { "id": "bqaHZT4lHe1m" } }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "LBHwEShrHWPi" }, "outputs": [], "source": [ "#Parámetros\n", "n=100\n", "a=0\n", "b=np.pi #pi\n", "f=np.sin #Función elegida. Otras opciones: np.exp (exponencial), np.log (logaritmo neperiano)." ] }, { "cell_type": "code", "source": [ "#Se hace la realización aleatoria de las n U_i\n", "U_is = rnd.uniform(low=a, high=b, size=n) #vector aleatorio iid de tamaño n, con distribución uniforme\n", "\n", "#Se evalúa cada una y se calcula el estimador\n", "f_de_U_i = f(U_is) #Lo hace para cada i y genera un vector de f(U_i)\n", "\n", "#Ploteo de resultados\n", "plt.figure(figsize = (10,5))\n", "xs = np.linspace(a,b)\n", "ys = f(xs)\n", "plt.plot(xs, ys, label='f(x)', c='k')\n", "plt.stem(U_is, f_de_U_i, label='f(U_i)')\n", "plt.title('Puntos graficados y función')\n", "plt.xlabel('x')\n", "plt.ylabel('f(x)')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.plot()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 488 }, "id": "-wfzMBrcI--y", "outputId": "8634cf55-097d-4332-95cf-429166592289" }, "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Para este ejemplo, el valor verdadero es:\n", "\n", "$$ \\int_{0}^{\\pi} sin(x)dx = (-cos(x)) |_{0}^{\\pi} = 1-cos(\\pi) = 2 . $$" ], "metadata": { "id": "DXnQZBWUvvsP" } }, { "cell_type": "code", "source": [ "#Estimación\n", "I_estimado = f_de_U_i.mean()*(b-a) #.mean() hace la media muestral\n", "I_verdadero = 2 #Modificar si se modifica f\n", "\n", "print('El valor estimado es:', I_estimado)\n", "print('El valor verdadero es:', I_verdadero)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "jbgzquuLMT3B", "outputId": "d3fe58c2-dbdb-4b92-d14c-8dca4a3c4f30" }, "execution_count": 6, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "El valor estimado es: 2.098893712972244\n", "El valor verdadero es: 2\n" ] } ] }, { "cell_type": "markdown", "source": [ "## Ejercicio 3, parte 2\n", "\n", "La siguiente sección se hizo basada en la estimación que sugiere el ejercicio 3.2:\n", "\n", "$$ \\frac{\\#\\{i:1\\leq i\\leq n \\,\\,\\,\\text{y}\\,\\,\\, U_i \\in D\\}}{n} \\xrightarrow[n]{c.s.} área(D)$$" ], "metadata": { "id": "XjacFXtbNCrN" } }, { "cell_type": "code", "source": [ "#Parámetros\n", "n = 5000\n", "\n", "#En este ejemplo se hará un circulo centrado en c y de radio r. Recordar que debe estar incluido en el cuadrado [0,1]x[0,1]\n", "c = [0.5, 0.5] #coordenadas del centro (c_x, c_y)\n", "r = 0.5" ], "metadata": { "id": "iJ0a3k2UMyCK" }, "execution_count": 8, "outputs": [] }, { "cell_type": "markdown", "source": [ "Como ejemplo, se hará que $D$ sea el círculo de radio $r$, centrado en $c=(c_x, c_y)$, que tiene área $\\pi r^2$ " ], "metadata": { "id": "sDKblVgmOKs5" } }, { "cell_type": "code", "source": [ "#Se hace la realización aleatoria de las n U_i\n", "U_is = rnd.uniform(low=0, high=1, size=(n,2))\n", "\n", "#Clasificación\n", "c = np.array(c)\n", "U_is_dentro = U_is[la.norm(U_is-c, axis=1)=r] #Selecciona los U_i tal que: |U_i-c|>=r\n", "\n", "#Ploteo de resultados\n", "fig, ax = plt.subplots(figsize = (5,5))\n", "plt.scatter(U_is_dentro[:,0],U_is_dentro[:,1], c='r', marker='o', label='Dentro')\n", "plt.scatter(U_is_fuera[:,0],U_is_fuera[:,1], c='b', marker='x', label='Fuera')\n", "circulo = plt.Circle( c, r , fill = False , label='círculo')\n", "ax.add_patch( circulo )\n", "ax.set_title('Puntos sorteados')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_xlim(0,1)\n", "ax.set_ylim(0,1)\n", "\n", "plt.legend()\n", "plt.grid(True)\n", "plt.plot()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 487 }, "id": "jYvWLEKQOJ4y", "outputId": "9cf0bd24-33f7-4d08-ffd8-5f7735813277" }, "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "#Estimación\n", "A_estimado = len(U_is_dentro)/n #.mean() hace la media muestral\n", "A_verdadero = np.pi*r**2 \n", "\n", "print('El valor estimado es:', A_estimado)\n", "print('El valor verdadero es:', A_verdadero)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "8T4tQJd_PEge", "outputId": "a1c2265e-53e8-49b0-a4f0-ac954861fae1" }, "execution_count": 10, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "El valor estimado es: 0.7818\n", "El valor verdadero es: 0.7853981633974483\n" ] } ] }, { "cell_type": "markdown", "source": [ "**Observación:** A partir de este ejemplo se puede tener una estimación de $\\pi$, dado que $\\pi = \\frac{area(D)}{r^2}$" ], "metadata": { "id": "cPceF7g9wgpX" } }, { "cell_type": "code", "source": [ "#Estimación de PI\n", "print('El valor de PI estimado es:', A_estimado/r**2)\n", "print('El valor de PI verdadero es:', np.pi)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "v5nlbDtzPPJY", "outputId": "f24fa7dd-8aa4-4d5a-fddb-95d752121b46" }, "execution_count": 11, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "El valor de PI estimado es: 3.1272\n", "El valor de PI verdadero es: 3.141592653589793\n" ] } ] }, { "cell_type": "code", "source": [], "metadata": { "id": "IeOqYeHKw37z" }, "execution_count": null, "outputs": [] } ] }