{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Approximating functions on $R$\n", "\n", "**Randall Romero Aguilar, PhD**\n", "\n", "This demo is based on the original Matlab demo accompanying the Computational Economics and Finance 2001 textbook by Mario Miranda and Paul Fackler.\n", "\n", "Original (Matlab) CompEcon file: **demapp01.m**\n", "\n", "Running this file requires the Python version of CompEcon. This can be installed with pip by running\n", "\n", " !pip install compecon --upgrade\n", "\n", "Last updated: 2022-Oct-22\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## About\n", "\n", "This demo illustrates how to use CompEcon Toolbox routines to construct and operate with an approximant for a function defined on an interval of the real line.\n", "\n", "In particular, we construct an approximant for $f(x)=\\exp(-x)$ on the interval $[-1,1]$. The function used in this illustration posseses a closed-form, which will allow us to measure approximation error precisely. Of course, in practical applications, the function to be approximated will not possess a known closed-form.\n", "\n", "In order to carry out the exercise, one must first code the function to be approximated at arbitrary points.\n", "Let's begin:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initial tasks" ] }, { "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", "from compecon import BasisChebyshev, BasisSpline " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Defining the functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Function to be approximated and derivatives" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def f(x): return np.exp(-x)\n", "def d1(x): return -np.exp(-x)\n", "def d2(x): return np.exp(-x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set degree and domain of interpolation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n, a, b = 10, -1, 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chebyshev interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, let us use an order 10 Chebychev approximation scheme:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "F = BasisChebyshev(n, a, b, f=f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One may now evaluate the approximant at any point x calling the basis:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0000000005485141" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = 0\n", "F(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... one may also evaluate the approximant's first and second derivatives at x:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1st derivative = -1.0000, 2nd derivative = 1.0000\n" ] } ], "source": [ "print(f'1st derivative = {F(x, 1):.4f}, 2nd derivative = {F(x, 2):.4f}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... and one may even evaluate the approximant's definite integral between the left endpoint a and x:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.7182818284646348" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F(x, -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare analytic and numerical computations" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Numerical Analytic\n", "Function 1.00000000 1.00000000\n", "First Derivative -1.00000000 -1.00000000\n", "Second Derivative 0.99999995 1.00000000\n", "Definite Integral 1.71828183 1.71828183" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.set_option('display.precision', 8)\n", "\n", "pd.DataFrame({\n", " 'Numerical': [F(x), F(x, 1), F(x,2), F(x, -1)],\n", " 'Analytic': [f(x), d1(x), d2(x), np.exp(1)-1]},\n", " index = ['Function', 'First Derivative', 'Second Derivative', 'Definite Integral']\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots of approximation errors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One may evaluate the accuracy of the Chebychev polynomial approximant by computing the approximation error on a highly refined grid of points:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "nplot = 501 # number of grid nodes\n", "xgrid = np.linspace(a, b, nplot) # generate refined grid for plotting\n", "\n", "figures=[] # to save all figures\n", "\n", "def approx_error(true_func, appr_func, d=0, title=''):\n", " fig, ax = plt.subplots()\n", " ax.hlines(0,a,b, 'k', linestyle='--',linewidth=2)\n", " ax.plot(xgrid, appr_func(xgrid, d) - true_func(xgrid))\n", " ax.ticklabel_format(style='sci', axis='y', scilimits=(0,0))\n", " ax.set(title=title, xlabel='x', ylabel='Error')\n", " \n", " figures.append(plt.gcf())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot function approximation error" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(f,F,title='Chebychev Approximation Error - Function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot indicates that an order 10 Chebychev approximation scheme, produces approximation errors no bigger in magnitude than $6\\times10^{-10}$. The approximation error exhibits the \"Chebychev equioscillation property\", oscilating relatively uniformly throughout the approximation domain.\n", "\n", "This commonly occurs when function being approximated is very smooth, as is the case here but should not be expected when the function is not smooth. Further notice how the approximation error is exactly 0 at the approximation nodes --- which is true by contruction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot first derivative approximation error" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(d1,F,1, title='Chebychev Approximation Error - First Derivative')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot second derivative approximation error" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(d2,F,2, title='Chebychev Approximation Error - Second Derivative')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cubic spline interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us repeat the approximation exercise, this time constructing a 21-function cubic spline approximant:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "n = 21 # order of approximation\n", "S = BasisSpline(n, a, b, f=f) # define basis\n", "yapp = S(xgrid) # approximant values at grid nodes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot function approximation error" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(f,S,title='Cubic Spline Approximation Error - Function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot indicates that an order 21 cubic spline approximation scheme produces approximation errors no bigger in magnitude than $1.2\\times10^{-6}$, about four orders of magnitude worse than with Chebychev polynomials." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot first derivative approximation error" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(d1,S,1, title='Cubic Spline Approximation Error - First Derivative')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot second derivative approximation error" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(d2,S,2, title='Cubic Spline Approximation Error - Second Derivative')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear spline interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us repeat the approximation exercise, this time constructing a 31-function linear spline approximant:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "n = 31 \n", "L = BasisSpline(n, a, b, k=1, f=f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot function approximation error" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "approx_error(f,L,title='Linear Spline Approximation Error - Function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot indicates that an order 21 cubic spline approximation scheme produces approximation errors no bigger in magnitude than $1.2\\times10^{-6}$, about four orders of magnitude worse than with Chebychev polynomials." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.7 ('base')", "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": "3.9.7" }, "vscode": { "interpreter": { "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186" } } }, "nbformat": 4, "nbformat_minor": 4 }