{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import random\n", "\n", "from sklearn.gaussian_process import GaussianProcessRegressor\n", "from sklearn.gaussian_process.kernels import *\n", "from sklearn.gaussian_process.kernels import ConstantKernel as C" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian Processes Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A random variable $X$ presents a Gaussian distribution with mean $\\mu$ and variance $\\sigma^{2}$\n", "if its probability density function (PDF) is:\n", "$$\n", "P_{X}(x)=\\frac{1}{\\sqrt{2\\pi}\\sigma}\\exp{\\left(-\\frac{(x-\\mu)^{2}}{2\\sigma^ {2}}\\right)}\n", "$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# General form of a Gaussian distribution\n", "def dist(x, mu, sigma2):\n", " return((1/(np.sqrt(2*np.pi*sigma2))*np.exp(-(x-mu)**2/(2*sigma2))))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs=np.linspace(-5,5,100)\n", "\n", "plt.plot(xs,dist(xs,0,0.2),label=\"$\\mu=0$, $\\sigma^{2}=0.2$\")\n", "plt.plot(xs,dist(xs,0,1),label=\"$\\mu=0$, $\\sigma^{2}=1$\")\n", "plt.plot(xs,dist(xs,0,5),label=\"$\\mu=0$, $\\sigma^{2}=5$\")\n", "plt.grid()\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"PDF\")\n", "plt.xlim(-5,5)\n", "plt.vlines(0,-0.1,1.1,linestyle=\"dashed\",color=\"red\",linewidth=0.8)\n", "plt.title(\"General Gaussian Distribution\")\n", "plt.savefig(\"NormalDistribution\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since any Gaussian distribution is characterized by the parameters $\\mu$ and $\\sigma^{2}$, it can be denoted as:\n", "$$\n", "P_{X}(x)=\\mathcal{N}(\\mu,\\sigma^{2})\n", "$$\n", "For two random variables with Gaussian distributions, we have a multivariate distribution. The parameter $\\mu$ becomes into a vector with the means and $\\sigma^{2}$ into a covariance matrix with the correlation information between the variables:\n", "$$\n", "P_{X_{1},X_{2}}(x,y)=\\mathcal{N}\\left(\\left[\\begin{matrix}\\mu_1\\\\\\mu_2\\end{matrix}\\right],\n", "\\left[\\begin{matrix}\\sigma_{X_{1}}^{2}&\\sigma_{X_{1},X_{2}}^{2}\\\\\\sigma_{X_{2},X_{ 1}}^{2}&\\sigma_{X_{2}}^{2}\\end{matrix}\\right]\\right)\n", "$$\n", "The above can be generalized to the case of infinitely many random variables where $\\mu$ is transformed into a continuous function of averages $m(x)$ and the covariance matrix into a covariance function $k(x,x')$, designated as kernel:\n", "$$\n", "f(x)\\sim\\mathcal{GP}(m(x),k(x,x'))\n", "$$\n", "This is known as a Gaussian process and it is defined as a collection of random variables where each subset of them has a Gaussian distribution.\n", "In conjunction with Bayesian statistical tools, they have applications in regression and classification problems." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression of a linear model using _scikit learn_." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest form of regression consists on ignoring the variance or noise of the observational data, which means assuming that the measurements in the observations have no uncertainties.\n", "\n", "The file `Linear_example.txt` contains a mock data set that was constructed from a linear function. A random value was added to the independent variable $y$ to generate random scatter in the data.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Reading data\n", "data=pd.read_table('Linear_example.txt',sep='\\s+')\n", "\n", "# Independent variable in the data\n", "x=np.atleast_2d(np.asarray(data)[:,0]).T\n", "\n", "# Dependent variable in the data\n", "y=np.asarray(data)[:,1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Null variances:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# MODEL ESTIMATION\n", "# Prior\n", "k = C(1.0)*Matern()\n", "gp = GaussianProcessRegressor(kernel=k, n_restarts_optimizer=20)\n", "\n", "# Inference\n", "gp.fit(x, y);\n", "\n", "# Values where the model is evaluated to make predictions\n", "xs = np.atleast_2d(np.linspace(0.9, 10.1, 1000)).T\n", "\n", "# Predictions and standard deviations of each\n", "y_pred, sigma = gp.predict(xs, return_std=True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def graph(f,sigma):\n", " plt.scatter(x,y,color=\"black\",s=12,label=u'Data')\n", " plt.plot(xs, f, label=u'Model',color=\"midnightblue\")\n", " plt.fill(np.concatenate([xs, xs[::-1]]),\n", " np.concatenate([f - 2*sigma,\n", " (f + 2*sigma)[::-1]]), color=\"blueviolet\",\n", " alpha=.35, ec='None', label='95.5% Confidence Level')\n", " plt.fill(np.concatenate([xs, xs[::-1]]),\n", " np.concatenate([f - 3 * sigma,\n", " (f + 3 * sigma)[::-1]]), color=\"blue\",\n", " alpha=.15, ec='None', label='99.7% Confidence Level')\n", " plt.xlabel('$X$')\n", " plt.ylabel('$Y$')\n", " plt.xlim(0.9,10.1)\n", " plt.legend(loc='upper left')\n", " plt.grid();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph(y_pred,sigma)\n", "plt.savefig(\"LinearGP\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Random variances:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Random variances in the data\n", "dy = np.random.normal(5,2*np.random.rand(len(y)))\n", "\n", "# Estimation of the model\n", "k = C(1.0)*Matern()\n", "gp = GaussianProcessRegressor(kernel=k,alpha=dy**2, n_restarts_optimizer=10)\n", "\n", "gp.fit(x, y)\n", "\n", "y_pred, sigma = gp.predict(xs, return_std=True)\n", "\n", "graph(y_pred,sigma)\n", "plt.errorbar(x.ravel(), y, dy,linestyle=\"None\", elinewidth=1,\n", " color=\"black\")\n", "plt.savefig(\"LinearErrorGP\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation of the derivatives of a function using _GaPP_" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import gapp\n", "\n", "from gapp import gp\n", "from gapp import dgp\n", "from gapp import covariance" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Optimized hyperparameters:\n", "theta = [0.79405017 1.59154805]\n", "\n", "Optimized hyperparameters:\n", "theta = [0.79405017 1.59154805]\n", "\n", "Optimized hyperparameters:\n", "theta = [0.79405017 1.59154805]\n", "\n", "Optimized hyperparameters:\n", "theta = [0.79405017 1.59154805]\n" ] } ], "source": [ "# Mock data set\n", "X=np.linspace(0,2*np.pi,30)\n", "Y=np.sin(X)+np.random.uniform(-0.15,0.15,len(X))\n", "Sigma_2=np.random.uniform(0.1,0.3,len(X))\n", "\n", "# Reconstruction of the function and its derivatives\n", "xmin = 0.0; xmax = 2*np.pi; nstar = 200\n", "initheta = [0.7,1.4]\n", "g = dgp.DGaussianProcess(X, Y, Sigma_2, cXstar = (xmin, xmax, nstar))\n", "\n", "(rec, theta) = g.gp(theta = initheta,thetatrain = 'True')\n", "(drec, theta) = g.dgp(theta = initheta,thetatrain = 'True')\n", "(d2rec, theta) = g.d2gp(theta = initheta,thetatrain = 'True')\n", "(d3rec, theta) = g.d3gp(theta = initheta,thetatrain = 'True')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def plot(X, Y, Sigma, rec, drec, d2rec, d3rec,xlim_a,xlim_b,ylim_a,ylim_b):\n", "\n", " fig, axs = plt.subplots(2, 2, figsize=(13,8)) \n", " \n", " axs[0,0].fill_between(rec[:, 0], rec[:, 1] + 2*rec[:, 2], rec[:, 1] - 2*rec[:, 2],\n", " facecolor='blueviolet',alpha=.35)\n", " axs[0,0].fill_between(rec[:, 0], rec[:, 1] + 3*rec[:, 2], rec[:, 1] - 3*rec[:, 2],\n", " facecolor='blue',alpha=.15)\n", " axs[0,0].scatter(X,Y,s=12,color=\"black\")\n", " axs[0,0].plot(rec[:, 0], rec[:, 1],color='midnightblue')\n", " axs[0,0].plot(np.linspace(0,2*np.pi,100),[np.sin(x) for x in np.linspace(0,2*np.pi,100)],color=\"red\")\n", " axs[0,0].errorbar(X, Y, Sigma, color='black',elinewidth=1,linestyle='None')\n", " axs[0,0].set_xlabel(\"$x$\", fontsize=17)\n", " axs[0,0].set_ylabel(\"$y(x)$\", fontsize=17)\n", " axs[0,0].grid()\n", " axs[0,0].set_xlim([xlim_a, xlim_b])\n", " axs[0,0].set_ylim([ylim_a, ylim_b])\n", " \n", " axs[0,1].fill_between(drec[:, 0], drec[:, 1] + 2*drec[:, 2], \n", " drec[:, 1] - 2*drec[:, 2], facecolor='blueviolet',alpha=.35)\n", " axs[0,1].fill_between(drec[:, 0], drec[:, 1] + 3*drec[:, 2], \n", " drec[:, 1] - 3*drec[:, 2], facecolor='blue',alpha=.15)\n", " axs[0,1].plot(drec[:, 0], drec[:, 1],color='midnightblue')\n", " axs[0,1].set_xlabel(\"$x$\", fontsize=17)\n", " axs[0,1].set_ylabel(\"$y'(x)$\", fontsize=17)\n", " axs[0,1].grid()\n", " axs[0,1].plot(np.linspace(0,2*np.pi,100),[np.cos(x) for x in np.linspace(0,2*np.pi,100)],color=\"red\")\n", " axs[0,1].set_xlim([xlim_a, xlim_b])\n", " axs[0,1].set_ylim([ylim_a, ylim_b]) \n", " \n", " axs[1,0].fill_between(d2rec[:, 0], d2rec[:, 1] + 2*d2rec[:, 2], \n", " d2rec[:, 1] - 2*d2rec[:, 2], facecolor='blueviolet',alpha=.35)\n", " axs[1,0].fill_between(d2rec[:, 0], d2rec[:, 1] + 3*d2rec[:, 2], \n", " d2rec[:, 1] - 3*d2rec[:, 2], facecolor='blue',alpha=.15)\n", " axs[1,0].plot(d2rec[:, 0], d2rec[:, 1],color='midnightblue')\n", " axs[1,0].set_xlabel(\"$x$\", fontsize=17)\n", " axs[1,0].set_ylabel(\"$y''(x)$\", fontsize=17)\n", " axs[1,0].grid()\n", " axs[1,0].plot(np.linspace(0,2*np.pi,100),[-np.sin(x) for x in np.linspace(0,2*np.pi,100)],color=\"red\")\n", " axs[1,0].set_xlim([xlim_a, xlim_b])\n", " axs[1,0].set_ylim([ylim_a, ylim_b])\n", " \n", " axs[1,1].fill_between(d3rec[:, 0], d3rec[:, 1] + 2*d3rec[:, 2], \n", " d3rec[:, 1] - 2*d3rec[:, 2], facecolor='blueviolet',alpha=.35)\n", " axs[1,1].fill_between(d3rec[:, 0], d3rec[:, 1] + 3*d3rec[:, 2], \n", " d3rec[:, 1] - 3*d3rec[:, 2], facecolor='blue',alpha=.15)\n", " axs[1,1].plot(d3rec[:, 0], d3rec[:, 1],color='midnightblue')\n", " axs[1,1].set_xlabel(\"$x$\", fontsize=17)\n", " axs[1,1].set_ylabel(\"$y'''(x)$\", fontsize=17)\n", " axs[1,1].grid()\n", " axs[1,1].plot(np.linspace(0,2*np.pi,100),[-np.cos(x) for x in np.linspace(0,2*np.pi,100)],color=\"red\")\n", " axs[1,1].set_xlim([xlim_a, xlim_b])\n", " axs[1,1].set_ylim([ylim_a, ylim_b]);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X, Y, Sigma_2, rec, drec, d2rec, d3rec,0,2*np.pi,-2,2)\n", "plt.savefig('Derivatives');" ] } ], "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }