{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Multivariate least squares" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The text.latex.preview rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The mathtext.fallback_to_cm rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: Support for setting the 'mathtext.fallback_to_cm' rcParam is deprecated since 3.3 and will be removed two minor releases later; use 'mathtext.fallback : 'cm' instead.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The validate_bool_maybe_none function was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The savefig.jpeg_quality rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The keymap.all_axes rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The animation.avconv_path rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n", "In /Users/holtz/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test.mplstyle: \n", "The animation.avconv_args rcparam was deprecated in Matplotlib 3.3 and will be removed two minor releases later.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's do a simple multivariate fit: a fit of a plane to some data. We can use the simple form for least squares:\n", "$${A^T\\over \\sigma} {A\\over \\sigma} par = {A^T\\over \\sigma} {y\\over \\sigma}$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def model(x,y,par) :\n", " \"\"\" Function of two variables, linear in parameters\n", " \"\"\"\n", " return par[0] + par[1]*x +par[2]*y \n", "\n", "def deriv(x,y) :\n", " \"\"\" Derivative with respect to each parameter\n", " \"\"\"\n", " return [np.ones(len(x)), x, y]\n", " \n", "# simulate some data \n", "x=np.random.uniform(size=500)\n", "y=np.random.uniform(size=500)\n", "truepar=[3,4,8]\n", "sig=0.001\n", "z=model(x,y,truepar)+np.random.normal(0.,sig,size=len(x))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "par: [2.99981733 3.99995974 8.00025013]\n", "[2.99981733 3.99995974 8.00025013]\n", "[[ 1.37963671e-08 -1.18205573e-08 -1.14877577e-08]\n", " [-1.18205573e-08 2.46205607e-08 -1.55756384e-09]\n", " [-1.14877577e-08 -1.55756384e-09 2.45559416e-08]]\n" ] } ], "source": [ "# design matrix\n", "design=np.array(deriv(x,y)).T/sig\n", "\n", "# solve for best fitting parameters in least squares sense\n", "data=np.array(z)/sig\n", "ATA=np.dot(design.T,design)\n", "par=np.linalg.solve(ATA,np.dot(design.T,data))\n", "print('par: ',par)\n", "#use inverse matrix to get uncertainties\n", "inv=np.linalg.inv(ATA)\n", "print(np.dot(inv,np.dot(design.T,data)))\n", "print(inv)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are some possibilities for visualizing the results" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.4.3\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# for plotting in 3D\n", "import matplotlib\n", "print(matplotlib.__version__)\n", "from mpl_toolkits.mplot3d import Axes3D\n", "#plt3d = plt.figure().gca(projection='3d')\n", "#ax=plot.gca()\n", "# newer version of matplotlib uses: \n", "fig=plt.figure()\n", "ax=fig.add_subplot(projection='3d')\n", "ax.scatter(x, y, z)\n", "\n", "# plot the solution\n", "xx, yy = np.meshgrid(np.arange(0,1,0.1),np.arange(0,1,0.1))\n", "zfit= model(xx,yy,par)\n", "ax.plot_surface(xx, yy, zfit, alpha=0.8)\n", "ax.plot_surface(xx,yy,model(xx,yy,truepar),color='g',alpha=0.8)\n", "\n", "# 2D representation using color as dependent variable\n", "plt.figure()\n", "plt.scatter(x,y,c=z)\n", "plt.figure()\n", "xx,yy=np.mgrid[0:1:0.1,0:1:0.1]\n", "plt.imshow(model(xx,yy,par),origin='lower')\n" ] }, { "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": "3.7.11" } }, "nbformat": 4, "nbformat_minor": 1 }