{ "cells": [ { "cell_type": "code", "execution_count": 247, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy as sp\n", "import scipy.linalg\n", "\n", "def rand_gauss(n, mu, cov):\n", " if cov.ndim == 1:\n", " cov = np.diag(cov)\n", " assert(mu.ndim == 1 and len(mu) == len(cov) and cov.ndim == 2 and cov.shape[0] == cov.shape[1])\n", " d, v = np.linalg.eigh(cov)\n", " return (np.random.randn(n, len(mu)) * np.sqrt(d)).dot(v) + mu\n", "\n", "def gellipse(mu, cov, *args, **kwargs):\n", " \"\"\"\n", " Contour plot of 2D Multivariate Gaussian distribution showing\n", " 2 times standard deviation range around the mean.\n", "\n", " gellipse(mu, cov, n) plots ellipse given by mean vector MU and\n", " covariance matrix COV. Ellipse is plotted using N (default is 100)\n", " points. Additional parameters can specify various line types and\n", " properties. See description of matplotlib.pyplot.plot for more details.\n", " \"\"\"\n", " n= kwargs.get('npoints', 100) \n", " if len(mu) != 2 or cov.shape != (2, 2):\n", " raise RuntimeError('mu must be a two element vector and cov must be 2 x 2 matrix')\n", "\n", " d, v = np.linalg.eigh(4 * cov)\n", " d = np.diag(d)\n", " t = np.linspace(0, 2 * np.pi, n)\n", " x = v @ np.sign(d) @ np.sqrt(np.abs(d)) @ np.array([np.cos(t), np.sin(t)]) + mu[:,None]\n", " return plt.plot(x[0], x[1], *args, **kwargs)\n", "\n" ] }, { "cell_type": "code", "execution_count": 288, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "global_mean = np.array([0, 0]);\n", "Sac = np.array([[1.50, 1.00],\n", " [1.00, 1.50]])\n", "Swc = np.array([[ 2.00, -0.98],\n", " [-0.98, 0.50]])\n", " \n", "means = rand_gauss(5, global_mean, Sac)\n", "data = [rand_gauss(10, m, Swc) for m in means]\n", "\n", "def plot_trasformed_data(A):\n", " gellipse(global_mean, A.T@Sac@A, c='k')\n", " plt.plot(*(means@A).T, '*k')\n", " \n", " for m, x in zip(means, data):\n", " color = gellipse(m@A, A.T@Swc@A)[0].get_color()\n", " plt.plot(*(x@A).T, '.', c=color)\n", " plt.axis('equal') \n", "\n", "plt.rcParams.update({'figure.figsize': (16.0, 8.0), 'font.size': 18})\n", "plt.subplot(121)\n", "plot_trasformed_data(np.eye(2))\n", "L, W = scipy.linalg.eigh(Sac, Swc)\n", "plt.plot([W[0,0],0, W[0,1]], [W[1,0], 0, W[1,1]], 'k');\n", "\n", "plt.subplot(122)\n", "plot_trasformed_data(W)" ] }, { "cell_type": "code", "execution_count": 291, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.87295513 47.99544506]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'figure.figsize': (18.0, 6.0), 'font.size': 18})\n", "Lwc, Ewc = scipy.linalg.eigh(Swc)\n", "\n", "A=Ewc\n", "\n", "plt.subplot(131); plot_trasformed_data(A)\n", "\n", "A=A/np.sqrt(Lwc)\n", "\n", "plt.subplot(132); plot_trasformed_data(A)\n", "\n", "Lac, Eac = scipy.linalg.eigh(A.T@Sac@A)\n", "A = A@Eac\n", "\n", "plt.subplot(133); plot_trasformed_data(A)\n", "\n", "print(4*np.sqrt(Lac))" ] } ], "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }