{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A simple Introduction to Gaussian Processes\n", "A full scope description of GPs is well beyond a short presentation. For a comprehensive introduction to the theory, I recommend [Rasmussen & Williams (2006)](http://www.gaussianprocess.org/gpml/), which you can dowload freely. Instead I will show a qualitative motivation for using GPs. This is when you have some correlated noise in the data and you would like to model this, in order not to introduce any biases in your parameter estimation or underestimate the error bars. Other approaches to this problem include [Carter & Winn (2009)](http://iopscience.iop.org/article/10.1088/0004-637X/704/1/51/pdf)'s Wavelet Transform method. Both of these methods have their advantages. For implementation of the latter please see Szilard, who uses them to great effect.\n", "## 1. The data\n", "I will simulate some data that includes Poisson noise, as well as some residual systematics and correlate with data points. The effect of this correlated noise is, by definition, impossible to fully grasp, but ignoring it will introduce significant biases into your parameter inferences.\n", "\n", "As a base model, I choose a single Gaussian feature with 3 parameters: amplitude $\\alpha$, centre $\\ell$ and the variance $\\sigma^2$. You can think of this as an abosption line or an exoplanet transit :-)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#import the necessary python modules\n", "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "from matplotlib import *\n", "plt.rc('text', usetex=True)\n", "matplotlib.rc('font', family='serif')\n", "\n", "import george\n", "from george import kernels" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#define the base model, a single gaussian\n", "def model(params, t):\n", " amp, loc, sig2 = params\n", " return amp * np.exp(-0.5 * (t - loc) ** 2 / sig2)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#define a function that will generate our synthetic data\n", "def generate_data(params, N, rng=(-5, 5)):\n", " gp = george.GP(0.1 * kernels.ExpSquaredKernel(3.3)) #create red noise from george.GP class (later explained)\n", " t = rng[0] + np.diff(rng) * np.sort(np.random.rand(N)) #create unevenly sampled x values\n", " y = gp.sample(t) #create correlated noise values by sampling the gp object\n", " y += model(params, t) #add values from the model\n", " yerr = 0.05 + 0.05 * np.random.rand(N) #create Poisson (white) noise with some arbitrary chars.\n", " y += yerr * np.random.randn(N) #add white noise to the data with correlated noise\n", " return t, y, yerr" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnEAAAG+CAYAAAD821LEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#now lets generate the data\n", "np.random.seed(1234) #seed the generator in order to generate the same data every time the code runs\n", "truth = [-1.0, 0.1, 0.4] #model parameters used to simulate data (=> true)\n", "t, y, yerr = generate_data(truth, 50) #generate the data \n", "rcParams['figure.figsize'] = 10, 7\n", "plt.figure(1)\n", "plt.errorbar(t, y, yerr=yerr, fmt=\".k\", capsize=0)\n", "plt.ylabel(r\"$y$\",fontsize=20)\n", "plt.xlabel(r\"$t$\",fontsize=20)\n", "plt.xlim(-5, 5)\n", "plt.title(\"synthetic data\")\n", "#plt.savefig('synthetic_data.pdf', dpi=150) #uncomment if you would like to save the plot\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will notice that I have drawn the red noise from a Guassian Process. Therefore in what will follow, I will use a different kernel to mitigate this fact. Please bare in mind that the model parameters used and therefore our target values are:\n", "\n", "$$ \\alpha = -1,~~~~~~ \\ell = 0.1,~~~~~~ \\sigma^2=0.4 $$\n", "\n", "### 1.1 Bayesian framework\n", "Before starting the analysis I would like to refresh my memory of the Byesian framework in which we will be working. That is:\n", "\n", "$$ {\\tt ~P ( ~pars ~| ~data(y,t) , ~noise) \\propto ~P(pars) \\times ~P( ~y| ~t, ~noise, ~pars)} ~~~~~~~~~~~(1)$$\n", "\n", "Namely, our prediction of what we are looking for, is dictated by our prior knowledge of the parameters and the likelihood of the outcome (posterior probability = prior probability $\\times$ the likelihood function / maginal likelihood.)\n", "\n", "This is also written as **log posterior = log prior + log likelihood - log(marg. liklihood)**\n", "\n", "## 2. The White noise case\n", "Now lets consider the standard case, that we are assuming only **white or Poisson noise** in our data. Therefore, the log-likelihood (standard practice to avoid negative prob and changing multipication to addition) function of the data, given the parameters $\\theta$ is:\n", "\n", "$$ \\ln P\\left({y_n}|{t_n},{\\sigma_n^2},\\theta\\right) = -\\frac{1}{2} \\sum_{n=1}^N \\frac{[y_n-f_{\\theta}(t_n)]^2}{\\sigma_n^2} + \\text{const} ~~~~~~~~~~~(2)$$\n", "\n", "Looking at the data, it seems that there is a systematic trend, and subsequently we include this in our descriptive model to be fitted to the data. This is quite common in transit light curves due to airmass variations. Therefore, our final analytical model is:\n", "\n", "$$f_{\\theta}(t) = mt + b + \\alpha \\exp\\left(-\\frac{[t-\\ell]^2}{2\\sigma^2}\\right) ~~~~~~~~~~~(3)$$\n", "\n", "where $\\theta$ is the 5-dimensional parameter vector $\\{ m,b,\\alpha,\\ell,\\sigma^2\\}$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Defining the likelihood function which also includes a linear trend\n", "def lnlike_ind(p, t, y, invar):\n", " m = model(p[2:], t) + p[0] * t + p[1]\n", " return -0.5 * np.sum((y - m) ** 2 * invar) #invar = 1/sigma**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now to fit this model using MCMC, we also have to define our priors. Depending your situations, you might want to define these based on some previous knowledge of your parameters. Here, I will just assume simple box priors." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Priors of the base model\n", "def lnprior_base(p):\n", " amp, loc, sig2 = p\n", " if not -10 < amp < 10:\n", " return -np.inf\n", " if not -5 < loc < 5:\n", " return -np.inf\n", " if not 0 < sig2 < 3.0:\n", " return -np.inf\n", " return 0.0\n", "#add the priors of the linear trend to the prior function of the base model\n", "def lnprior_ind(p):\n", " m, b = p[:2]\n", " if not -10 < m < 10:\n", " return -np.inf\n", " if not -10 < b < 10:\n", " return -np.inf\n", " return lnprior_base(p[2:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to define the Posterior function:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Defining the posterior probability distribution\n", "def lnprob_ind(p, t, y, invar):\n", " lp = lnprior_ind(p)\n", " if not np.isfinite(lp):\n", " return -np.inf\n", " return lp + lnlike_ind(p, t, y, invar)#note that I do not include the log(marg. likelihood)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Now that the model is implemented, we run the MCMC. Namely we initialize the walkers and run both a burn-in and a production chain. In reality, you should run multiple, independent chains and check their consistency and mutual convergence." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import emcee\n", "initial = np.array([0, 0, -1.0, 0.1, 0.4]) #initial guess of the inferred parameters.\n", "ndim = len(initial)\n", "nwalkers = 32 #number of walkers.\n", "data = (t, y,1/yerr**2) #need to put data in a tuple.\n", "p0 = [np.array(initial) + 1e-8 * np.random.randn(ndim)\n", " for i in xrange(nwalkers)] #initialize walkers.\n", "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob_ind, args=data)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running burn-in...\n" ] } ], "source": [ "#Settling-in phase\n", "print(\"Running burn-in...\")\n", "p0, _, _ = sampler.run_mcmc(p0, 500) " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running production...\n" ] }, { "data": { "text/plain": [ "(array([[ -5.87564482e-02, 4.45725587e-03, -9.76768883e-01,\n", " 2.07354250e-01, 4.48748977e-01],\n", " [ -5.27793351e-02, -1.39297789e-02, -9.73948911e-01,\n", " 1.40906343e-01, 3.75504943e-01],\n", " [ -5.15163782e-02, -1.78597658e-02, -1.02613265e+00,\n", " 1.95742941e-01, 3.61908479e-01],\n", " [ -5.41098957e-02, -9.43724290e-03, -9.79860371e-01,\n", " 1.96426419e-01, 4.51182093e-01],\n", " [ -5.57710534e-02, -2.33517133e-02, -9.59660777e-01,\n", " 2.00571975e-01, 4.05356941e-01],\n", " [ -6.08069874e-02, -4.04021964e-02, -9.77834379e-01,\n", " 1.61133378e-01, 3.74839592e-01],\n", " [ -5.28672691e-02, -1.39857851e-02, -1.06512141e+00,\n", " 1.68122577e-01, 3.28043229e-01],\n", " [ -5.07782290e-02, -1.61262401e-02, -1.02038439e+00,\n", " 1.40127874e-01, 3.44410264e-01],\n", " [ -5.38080599e-02, 8.89137791e-03, -9.62751458e-01,\n", " 2.51262007e-01, 4.25910866e-01],\n", " [ -6.09790073e-02, -4.61473409e-02, -9.38430439e-01,\n", " 1.69098485e-01, 3.76546919e-01],\n", " [ -6.07798354e-02, 5.49989733e-04, -9.40252788e-01,\n", " 1.30260142e-01, 4.16013958e-01],\n", " [ -5.13500416e-02, -6.90281984e-03, -9.56639271e-01,\n", " 1.96271242e-01, 4.20850400e-01],\n", " [ -5.25791255e-02, -1.48112636e-02, -1.00240127e+00,\n", " 1.83088245e-01, 3.83991517e-01],\n", " [ -5.45159741e-02, -2.72768627e-02, -9.71232276e-01,\n", " 2.25624278e-01, 4.31624676e-01],\n", " [ -4.75616371e-02, -3.09775700e-02, -1.01407231e+00,\n", " 2.01510153e-01, 4.01532738e-01],\n", " [ -5.26673350e-02, -4.11976353e-02, -9.70056440e-01,\n", " 1.94334007e-01, 3.34894686e-01],\n", " [ -6.16633514e-02, -1.61824037e-02, -9.87356572e-01,\n", " 1.33928925e-01, 3.84342695e-01],\n", " [ -5.63372181e-02, -3.51284516e-02, -9.73639351e-01,\n", " 2.30974209e-01, 3.62985520e-01],\n", " [ -5.17984992e-02, -3.17422630e-02, -9.67112606e-01,\n", " 1.95636081e-01, 3.58578992e-01],\n", " [ -5.51327522e-02, -2.15328258e-02, -9.37194341e-01,\n", " 1.61309497e-01, 3.96104233e-01],\n", " [ -5.11616377e-02, -6.62443372e-03, -9.81257437e-01,\n", " 1.95505975e-01, 4.19841914e-01],\n", " [ -6.18520322e-02, -2.15127707e-02, -9.49118861e-01,\n", " 1.49433391e-01, 3.96352874e-01],\n", " [ -4.74355950e-02, -1.19227518e-02, -1.00334475e+00,\n", " 2.11516450e-01, 4.15325430e-01],\n", " [ -5.49429733e-02, -2.95969283e-02, -9.56790926e-01,\n", " 1.58511197e-01, 4.04460178e-01],\n", " [ -5.95214928e-02, -4.14968871e-02, -9.00244217e-01,\n", " 1.49437329e-01, 4.27856468e-01],\n", " [ -5.20070615e-02, -1.63427322e-02, -9.77856562e-01,\n", " 2.17341105e-01, 3.60768405e-01],\n", " [ -5.32277754e-02, -2.15909108e-02, -1.03515184e+00,\n", " 1.78958206e-01, 3.30433576e-01],\n", " [ -5.62706301e-02, -4.30890630e-02, -9.49587462e-01,\n", " 1.81027961e-01, 3.38263441e-01],\n", " [ -6.20615282e-02, -1.26466033e-02, -1.01511919e+00,\n", " 1.48625417e-01, 3.84306572e-01],\n", " [ -5.27818059e-02, -3.29529906e-02, -9.78419288e-01,\n", " 1.42892870e-01, 3.39345513e-01],\n", " [ -5.19464400e-02, -2.56347826e-02, -9.72607024e-01,\n", " 1.86795125e-01, 4.10669803e-01],\n", " [ -5.47472575e-02, -2.50248623e-02, -9.74500134e-01,\n", " 1.78662246e-01, 3.86161258e-01]]),\n", " array([-55.68669253, -54.55582998, -54.17264972, -54.88835874,\n", " -53.03420609, -54.84477671, -56.74694519, -55.89882872,\n", " -59.25194476, -55.47045248, -58.06582868, -54.22152748,\n", " -52.95763324, -56.2332568 , -57.81174257, -54.24916674,\n", " -54.60042872, -55.29149725, -53.29418695, -53.63344728,\n", " -53.96926247, -54.43361545, -56.13534528, -53.49275309,\n", " -57.89078073, -54.5058761 , -54.73666041, -54.36567248,\n", " -54.60306316, -54.76051958, -53.57347416, -52.40476477]),\n", " ('MT19937', array([1982170676, 3197626560, 2034110405, 364013929, 2706455048,\n", " 3148782550, 337132009, 3876564620, 1725886813, 2518980791,\n", " 3179546027, 884176295, 826738762, 1381950202, 3488267631,\n", " 168998003, 906940475, 610961577, 2767672024, 1231976069,\n", " 2970483682, 2864665650, 2435722320, 1128805416, 3346153498,\n", " 996165378, 2132664392, 3993934367, 744417589, 481288017,\n", " 3184373532, 2277283987, 2402238417, 1610759129, 3970590976,\n", " 1834862281, 1740191689, 1314781708, 4245885832, 1400817231,\n", " 453255666, 2187717756, 296462637, 2186409580, 4028116907,\n", " 1340178333, 869079662, 3481178880, 2272512797, 4168869163,\n", " 747388346, 2950447477, 4201804868, 3996455729, 4227846681,\n", " 168585389, 3097594807, 3331903391, 2892611195, 3029410092,\n", " 3366108583, 575839419, 1614531418, 3104695517, 3975918202,\n", " 862892929, 3904904971, 1963122520, 2752681592, 2058614645,\n", " 595343386, 2052022584, 776836601, 3747680924, 1163591419,\n", " 1003381969, 40895345, 1639495779, 366744671, 1394165158,\n", " 509760057, 1708976183, 948920018, 2836289941, 2625883221,\n", " 1798513578, 1286463479, 3865617297, 408938309, 4227018032,\n", " 3288133240, 3743906381, 1188058716, 3056253247, 2665338143,\n", " 1490837355, 781428379, 2700438826, 2833195944, 1842236608,\n", " 1032995191, 3915796728, 3020361532, 248093725, 93665184,\n", " 3453747141, 2436687922, 2775449778, 2400831641, 3089199170,\n", " 1340614875, 1561333938, 3723374507, 2206310909, 1949170494,\n", " 4099968542, 2094244580, 2393381628, 3915405780, 725795541,\n", " 2755316662, 1059232780, 4032229652, 1691650528, 2497819940,\n", " 3175671014, 525855761, 2714099687, 204619280, 2482712711,\n", " 1100011843, 130699108, 7759552, 3225202193, 2363041387,\n", " 2964696450, 3046485241, 1326711365, 2160359802, 2486877122,\n", " 2110775472, 1197331436, 3853244862, 1862213308, 2597418284,\n", " 1597836527, 2204996917, 2507964164, 3883017336, 1178504160,\n", " 1663439619, 906194816, 3783996162, 3026297141, 4197488542,\n", " 2690444699, 1355866465, 2070158019, 951856295, 1468454409,\n", " 2724441709, 626126507, 84807465, 1364644720, 1135288206,\n", " 647417455, 1067586051, 206743726, 3640057528, 2114759496,\n", " 3424199279, 531635650, 2412733665, 659566227, 2674138274,\n", " 306516744, 476386366, 1829160710, 2417622457, 3380184503,\n", " 3423666269, 3881165114, 3072857962, 2732149527, 4286460426,\n", " 3862215972, 1898172832, 2981937262, 968158789, 2504041961,\n", " 3135870758, 457395651, 441240844, 2111683944, 2824087773,\n", " 3810289599, 4051230229, 4292295371, 2378422843, 1428986201,\n", " 3274196422, 491213002, 1812035883, 1851777038, 131871308,\n", " 3576022887, 2624576292, 3776808677, 3546953291, 1573342607,\n", " 205122434, 3049636294, 1906959885, 2272060963, 3047104533,\n", " 3288787604, 3116138279, 1731893682, 1898866686, 2880966497,\n", " 230654134, 893580833, 3793038370, 699061440, 2089366626,\n", " 2313045211, 2414485037, 2556533265, 2565869173, 1040535486,\n", " 1376751036, 2961376815, 1359010922, 319801440, 2954551673,\n", " 853583718, 4167146577, 434278343, 571151479, 2141803486,\n", " 556167489, 138661083, 715491320, 3179056873, 4250016107,\n", " 1666960793, 3094073724, 319923594, 401576991, 942474585,\n", " 2093096925, 2365655276, 2350212177, 3908451186, 1959014132,\n", " 4249629977, 191035627, 260887815, 3717806157, 89881492,\n", " 798877451, 45220411, 17323922, 844312371, 1808063489,\n", " 3006715832, 3432532689, 335743905, 2056878299, 2204490837,\n", " 3334210285, 1667633579, 3111144905, 1560125335, 3676312408,\n", " 2394903318, 1078119694, 1330409741, 3852051104, 348944961,\n", " 1248344543, 1303004371, 1993587984, 3675702431, 1508799630,\n", " 3616713868, 3119260440, 2789162047, 3959375849, 4053617776,\n", " 368792751, 2738064740, 2979007653, 60097859, 2627512517,\n", " 446160799, 1403904852, 2052966540, 1738274767, 3723714466,\n", " 2969843004, 1079033526, 788662042, 3082359681, 4065796,\n", " 2544815442, 2994843929, 4049172365, 3152267812, 2671146734,\n", " 1610239255, 2252760166, 221304155, 873971616, 3426486029,\n", " 1358137138, 1199338472, 214308116, 3116311265, 4041616739,\n", " 2892709046, 74399298, 2730212390, 2688008435, 4118315484,\n", " 2405598415, 1283164243, 3783857982, 2593722470, 2322951552,\n", " 4135128071, 1327374096, 3805001530, 3292098934, 1146379601,\n", " 3169070754, 203987480, 3220532147, 209374595, 2013123612,\n", " 1922099036, 876684721, 3806329810, 2940549003, 2451758980,\n", " 2813660641, 2180954011, 2757038543, 1666705638, 3242955675,\n", " 1666038821, 3195906973, 713676846, 771109917, 1029773847,\n", " 1258759952, 3996501335, 96673332, 2260924331, 3943917165,\n", " 535311529, 516347105, 3284848203, 1166776322, 2189447493,\n", " 3661144665, 2678925765, 1018481042, 538023993, 1453362413,\n", " 2646132469, 2340368707, 1474447017, 3201661642, 4090473805,\n", " 54216673, 2142350346, 3821922838, 4224747834, 2195550064,\n", " 4282880176, 2948828216, 465353391, 2998265244, 3763325005,\n", " 4003632408, 3745400201, 3891749859, 2147652446, 2808358392,\n", " 2963483220, 3203106096, 18211347, 4268416937, 1484995627,\n", " 3952095968, 3944545300, 4198745169, 3917547795, 225472753,\n", " 3644849439, 2435689059, 3277479372, 1516408838, 742378275,\n", " 883260283, 840624312, 284749702, 1945461179, 3123405673,\n", " 2055967024, 3145438173, 2835124931, 3965143746, 1603726906,\n", " 2471328707, 3061378378, 1461027003, 3542285242, 1026165933,\n", " 2398513232, 3469402559, 3330870852, 2985540819, 2868656066,\n", " 1428134060, 1148562631, 3292157842, 615883218, 940775973,\n", " 3608490085, 895424150, 3809541593, 2014410817, 1227448501,\n", " 2414817701, 1283767196, 2062623894, 320414565, 3521615092,\n", " 255312155, 1778584965, 1759179479, 1764374572, 2446790484,\n", " 3264689122, 4231573233, 3662331192, 1063774645, 312787885,\n", " 65256055, 1209616633, 587940947, 1224524312, 2026914004,\n", " 3162007333, 654961844, 1378406424, 2519206798, 1697519649,\n", " 3584592295, 2697817600, 2419232552, 1762933960, 3829785755,\n", " 1884734400, 2226783759, 3592671859, 682377432, 2785805740,\n", " 3253318350, 2868062688, 3722761751, 433730188, 115022844,\n", " 201846021, 414172892, 984936062, 2834529990, 1565642376,\n", " 1600310684, 3694145811, 2600832964, 2620972601, 1580689753,\n", " 2921570303, 4197844444, 4132711790, 790442022, 2858012313,\n", " 1856185445, 2672987771, 1188390177, 2442178327, 3731125279,\n", " 2031332772, 2362042368, 3727614766, 2973144615, 2447092882,\n", " 1802841518, 1985679138, 2219407564, 2536080776, 1738634295,\n", " 176486842, 54642931, 3864072207, 187585706, 3975471675,\n", " 3920705726, 198522695, 2497454416, 1020515660, 1691649019,\n", " 115026349, 2795791779, 4259682548, 1816604237, 276024205,\n", " 4231806996, 2067133810, 2193413146, 3455269791, 3626151255,\n", " 2030644725, 758899287, 1813858472, 534800135, 10404424,\n", " 751278730, 4176678860, 2580423136, 909845459, 3471418389,\n", " 1357534914, 1334802464, 3195598036, 3479230277, 3994045067,\n", " 3428699954, 1631996852, 128844618, 2581399159, 1021583910,\n", " 2409325675, 871417823, 3010929496, 3507658178, 1649970196,\n", " 2913829786, 941077051, 3864849906, 5646893, 1413865482,\n", " 304831662, 328617699, 3872777401, 3221884419, 2169200350,\n", " 3958872196, 2816089498, 4029894363, 3690887986, 583092255,\n", " 316044220, 64857077, 3200678036, 2873328308, 3887325709,\n", " 1291963902, 3638425548, 63549584, 607283856, 3827095854,\n", " 4136225763, 1015675965, 413172091, 1136981454, 268261389,\n", " 2442122370, 1551996820, 1647808575, 2638522716, 4110779849,\n", " 930993871, 4060188570, 2204651426, 2080784863, 2729842188,\n", " 2108587858, 3864459362, 455037749, 3807926147, 532909520,\n", " 41256957, 1480547165, 444982801, 776321300, 2134034052,\n", " 2617942476, 2887770895, 1825934716, 3382256314, 3424989799,\n", " 2709589969, 2355703843, 469351432, 2922440347, 1997138979,\n", " 2555055812, 3599810344, 2554216918, 4136712854, 3499504826,\n", " 2868528866, 3334027581, 1855666422, 3197185912, 2406396667,\n", " 314463649, 825266697, 3257645402, 3490594574], dtype=uint32), 384, 0, 0.0))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#reset the sampler and run the production phase\n", "sampler.reset()\n", "print(\"Running production...\")\n", "sampler.run_mcmc(p0, 1000)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "samples = sampler.flatchain" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(32000, 5)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(samples)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Making plots\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmwAAAG6CAYAAAC1GhqKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYBMRERGZcQpsIiIiIjPu/weEopD/y3ccawAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the samples in data space. We draw 24 posterior samples randomly.\n", "print(\"Making plots\")\n", "samples = sampler.flatchain #flatten the chain (stitch all 32 walkers of 1000 long together)\n", "rcParams['figure.figsize'] = 10, 7\n", "plt.figure(2)\n", "plt.ylabel(r\"$y$\",fontsize=15)\n", "plt.xlabel(r\"$t$\",fontsize=15)\n", "plt.xlim(-5, 5)\n", "plt.errorbar(t, y, yerr=yerr, fmt=\".k\", capsize=0)\n", "x = np.linspace(-5, 5, 500)\n", "for s in samples[np.random.randint(len(samples), size=24)]:\n", " plt.plot(x, model(s[2:], x)+s[0]*x+s[1], color=\"#4682b4\", alpha=0.3)\n", "plt.title(r'Results~assuming~uncorrelated~noise')\n", "#plt.savefig(\"final_fit_WN.pdf\", dpi=150)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGoCAYAAABL+58oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#now we can look at the parameter evolutions in the production chain\n", "from matplotlib.ticker import MaxNLocator\n", "\n", "plt.rcParams['xtick.labelsize'] = 10\n", "plt.rcParams['ytick.labelsize'] = 10\n", "plt.clf()\n", "fig, axes = plt.subplots(3, 1, sharex=True, figsize=(8, 6))\n", "for i in range(3):\n", " axes[i].yaxis.label.set_size(20)\n", " axes[i].yaxis.set_major_locator(MaxNLocator(3))\n", " axes[i].plot(sampler.chain[:, :, i+2].T, color=\"k\", alpha=0.4)\n", " axes[i].axhline(truth[i], color=\"#888888\", lw=2)\n", "axes[0].set_ylabel(r\"$\\alpha$\")\n", "axes[1].set_ylabel(r\"$l$\")\n", "axes[2].set_ylabel(r\"$\\sigma^2$\")\n", "axes[2].set_xlabel(\"step number\",fontsize=20)\n", "fig.tight_layout(h_pad=0.0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAIdCAYAAABcElV2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6ERQAAAAnf4Aej4vMyvZu1AAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#And now the final results. From the analysis of the chain, we obtain our poterior distributions.\n", "import corner\n", "plt.figure()\n", "plt.rcParams['axes.titlesize'] = 17\n", "plt.rcParams['axes.labelsize'] = 17\n", "labels = [r\"$\\alpha$\", r\"$\\ell$\", r\"$\\sigma^2$\"]\n", "fig = corner.corner(samples[:, 2:], bins=50,truths=truth,labels=labels,show_titles=True,\n", " quantiles=(0.16,0.5,0.84))\n", "#fig.savefig(\"posteriors.pdf\", dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1 Conclusions\n", "Looking at the final fit, at first this seems quite satisfactory. However, closer look at the final posterior probability distributions, it is clear that our final results for the $\\ell$ parameter is **WRONG** based on the current error estimates.\n", "# 3. The systematic noise model case\n", "Now instead of assuming that the noise is white, we generalise our likelihood function to include covariances between the data points (red noise).\n", "## 3.1 Gaussian Processes \n", "__adapted from Neale Gibson's papers__\n", "A Gaussian Process (GP) is a non-parametric method for regression, used extensively for regression and classification problems in the machine learning community.\n", "A GP is formally defined as an collection of random variables **y**, any finite number of which have a joint Gaussian distribution, e.g.:\n", "\n", "$$\\boldsymbol{y} \\sim N(\\mu,\\Sigma)$$\n", "\n", "Generally speaking, when we fit a model or a mean function with parameters $\\theta$ to data *t* and *y*, we construct a likelihood function under the assumption of independent Gaussian uncertainties, $\\sigma_i$. \n", "\n", "$$ \\mathrm{likelihood} = \\prod_{n=1}^N \\frac{1}{\\sqrt{2\\pi\\sigma^2}} ~~ \\exp \\left(-\\frac{[y_n-f_{\\theta}(t_n)]^2}{2\\sigma_n^2} \\right) ~~~~~~~~ (4.1) $$\n", "\n", "This likelihood is central to inferring the probabilty distributions of our parameters $\\theta$. We can optimise it with respect to $\\theta$, or construct a posterior distribution for $\\theta$ via Bayes theorem after defining priors. Note that the term inside the exponential is $-\\frac{1}{2}\\chi^2$, so optimising the likelihood is equivalent to minimising $\\chi^2$ if the uncertainties are held fixed. This is already a Gaussian process, albeit a trivial one.\n", "\n", "More generally, we can use a multi-variate Gaussian distribution as our likelihood, where we consider covariance between the data points:\n", "\n", "$$ \\mathrm{likelihood} = \\frac{1}{|2\\pi\\Sigma|^{1/2}} ~~ \\exp \\left( -\\frac{1}{2} \\boldsymbol{r}^T \\Sigma^{-1}\\boldsymbol{r} \\right) ~~~~~~~~ (4.2)$$\n", "\n", "with $\\Sigma$ being the covariance matrix and $\\boldsymbol{r} = \\{y_n-f_\\theta (t_n)\\}$.\n", "## 3.2 Modelling our noise\n", "Based on the description above, we can rewrite our likelihood function (2) as a matrix equation (essentially just rewriting equation (4.2)):\n", "\n", "$$ \\ln P\\left({y_n}|{t_n},{\\sigma_n^2},\\theta\\right) = -\\frac{1}{2} \\boldsymbol{r}^\\mathrm{T}\\Sigma^{-1}\\boldsymbol{r} -\\frac{1}{2} \\ln |\\Sigma| - \\frac{N}{2} \\ln 2\\pi ~~~~~~~~ (5)$$\n", "\n", "If we assume purely white noise, as we did in the previous section, then what we are saying is that the covariance matrix, $\\Sigma$, is diagonal. Subsequently, we include the presence of red noise by populating the off-diagonal elements (essentially introducing co-variance).\n", "\n", "Ideally, we would like to make every off-diagonal element a free parameter, but that would be *too many free parameters*. So instead we \"*model*\" these elements using a covariance function, or a **kernel**. In this framework, the covariance matrix is given by:\n", "\n", "$$ \\Sigma_{ij} = \\sigma_i^2\\delta_{ij} + k(t_i,t_j) ~~~~~~~~ (6)$$\n", "\n", "where $\\delta$ is the Kronecker delta and $k$ is the kernel.\n", "### 3.2.1 Kernels\n", "There are lots of different kernels that you can use. The use of each form is usually dictated by the form of systematics present in the data. For instance, if the systematics are highly correlated with some physical variable (orbital phase of HST), better known as optical state parameters, Matern family of kernels is preffered. Here those physical variants will be inputs of the kernel, i.e. the elements of the covariance matrix will be modelled based on physical measurements of systematic causations. Examples of covariance kernels are:\n", "\n", "* Matern family (1/2,3/2,5/2,...)\n", "* Exponential\n", "* SquaredExponential (SE) (This is generally best suited to ground transit LCs, since it is infinitely smooth)\n", "* Rational Quadratic (RQ)\n", "* Periodic family\n", "* Linear\n", "* ...\n", "\n", "You should always think about your data and which kernel suites the modelling best. If in doubt, try different ones and distinguish goodness through statistical tests (BIC, ratio test, ...). Also consider defining your own if none of standard forms suit your purpose.\n", "### 3.2.2 A better modelling of our data\n", "To model the systematics in our previously defined data, I will choose the Matern-3/2 kernel. Of course it would be ideal to use the SE kernel, where systematics in simulated data were drawn from. But to make the exercise a bit more realistic, I use a different kernel. This kernel is given by:\n", "\n", "$$ k(t_i,t_j) = \\zeta^2 \\left(1+\\frac{\\sqrt{3}~|t_i-t_j|}{\\tau} \\right) ~ \\exp \\left(-\\frac{\\sqrt{3}~|t_i-t_j|}{\\tau} \\right) ~~~~~~~(7)$$\n", "\n", "where $\\zeta$ and $\\tau$ are the parameters of kernel, describing the amplitude and smoothness of the function. We are now ready to redfine the log-likelihood function which includes the GP. The python module, **george**, used already to simulate the data can be used to create our GP object. There are other freely availabel modules that enable you to define a GP, such as **sklearn** from scikit, or Neale Gibson's **GeePea** (which I personally use).\n", "\n", "\"Drawing\"\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import george\n", "from george import kernels\n", "\n", "#likelihood function with a GP\n", "def lnlike_gp(p, t, y, yerr):\n", " a, tau = np.exp(p[:2])\n", " gp = george.GP(a * kernels.Matern32Kernel(tau)) #Create the base Gaussian Process object.\n", " gp.compute(t, yerr) #compute the covariance matrix and factorize it for a set of times\n", " #and uncertainties.\n", " return gp.lnlikelihood(y - model(p[2:], t))\n", "\n", "#addings priors for the kernel parameters to the general base prior\n", "def lnprior_gp(p):\n", " lna, lntau = p[:2]\n", " if not -5 < lna < 5:\n", " return -np.inf\n", " if not -5 < lntau < 5:\n", " return -np.inf\n", " return lnprior_base(p[2:])\n", "\"\"\"\n", "Calcualte posterior function. You should notice that the linear trend function is no longer\n", "added to the model. This trend will now be accounted for by our GP model. However, if there\n", "is a physical measurable that is the cause of this trend (airmass for instance), then the\n", "trend can still be included.\n", "\"\"\"\n", "def lnprob_gp(p, t, y, yerr):\n", " lp = lnprior_gp(p)\n", " if not np.isfinite(lp):\n", " return -np.inf\n", " return lp + lnlike_gp(p, t, y, yerr)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#make the entire fitting process a funcational form, for general purpose use.\n", "def fit_gp(initial, data, nwalkers=32):\n", " ndim = len(initial)\n", " p0 = [np.array(initial) + 1e-8 * np.random.randn(ndim)\n", " for i in xrange(nwalkers)]\n", " sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob_gp, args=data)\n", "\n", " print(\"Running burn-in\")\n", " p0, lnp, _ = sampler.run_mcmc(p0, 500)\n", " sampler.reset()\n", "\n", " print(\"Running second burn-in\")\n", " p = p0[np.argmax(lnp)]\n", " p0 = [p + 1e-8 * np.random.randn(ndim) for i in xrange(nwalkers)]\n", " p0, _, _ = sampler.run_mcmc(p0, 500)\n", " sampler.reset()\n", "\n", " print(\"Running production\")\n", " p0, _, _ = sampler.run_mcmc(p0, 1000)\n", "\n", " return sampler" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitting GP\n", "Running burn-in\n", "Running second burn-in\n", "Running production\n" ] } ], "source": [ "print(\"Fitting GP\")\n", "data = (t, y, yerr)\n", "truth_gp = [0.0, 0.0] + truth #initial guesses for the parameters\n", "sampler = fit_gp(truth_gp, data)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Making plots\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnEAAAHACAYAAADN8z51AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKcSJiIiILCGFOBEREZEl9F8ArAw3+VpzL3kAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAIdCAYAAABcElV2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzsiImgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Making plots\")\n", "samples = sampler.flatchain\n", "x = np.linspace(-5, 5, 500)\n", "plt.figure()\n", "plt.errorbar(t, y, yerr=yerr, fmt=\".k\", capsize=0)\n", "#draw 100 random instances of the GP model from the posterior samples\n", "for s in samples[np.random.randint(len(samples), size=100)]:\n", " gp = george.GP(np.exp(s[0]) * kernels.Matern32Kernel(np.exp(s[1])))\n", " gp.compute(t, yerr)\n", " m = gp.sample_conditional(y - model(s[2:], t), x) + model(s[2:], x)\n", " plt.plot(x, m, color=\"#4682b4\", alpha=0.2)\n", "plt.ylabel(r\"$y$\",fontsize=20)\n", "plt.xlabel(r\"$t$\",fontsize=20)\n", "plt.xlim(-5, 5)\n", "plt.title(\"results with Gaussian process noise model\",fontsize=15)\n", "#plt.savefig(\"GP-model-fit.pdf\", dpi=150)\n", "\n", "# Make the corner plot.\n", "plt.figure()\n", "plt.rcParams['axes.titlesize'] = 17\n", "plt.rcParams['axes.labelsize'] = 17\n", "fig = corner.corner(samples[:, 2:], bins=50, truths=truth, labels=labels,show_titles=True,\n", " quantiles=(0.16,0.5,0.84))\n", "#fig.savefig(\"GP-posteriors.pdf\", dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And Voila!! The model that includes correlated noise is clearly less precise (does not underestimate the error bars) and it is more accurate. Moral of the story, **correlated noise modelling is less biased**.\n", "\n", "*If you are by any chance inspired to start using python, I highly recommend using [spyder](https://pythonhosted.org/spyder/) as your editor. It enables you to have multiple running environments (be it python or ipython), as well as cell creation, lbl compilation, debugging features and many more. At the beginning I went through a few different options, and this by far and away is my favourite.*" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }