{ "cells": [ { "cell_type": "markdown", "id": "52b23931", "metadata": {}, "source": [ "# Characterization of Bayesian posterior density" ] }, { "cell_type": "markdown", "id": "d500331d", "metadata": {}, "source": [ "The objective of this example is to demonstrate how transport maps can be used to represent posterior distribution of Bayesian inference problems." ] }, { "cell_type": "markdown", "id": "2c8d33ea", "metadata": {}, "source": [ "## Imports\n", "First, import MParT and other packages used in this notebook. Note that it is possible to specify the number of threads used by MParT by setting the `KOKKOS_NUM_THREADS` environment variable **before** importing MParT." ] }, { "cell_type": "code", "execution_count": 1, "id": "d201f65d", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:03.695196Z", "iopub.status.busy": "2024-03-21T17:44:03.694808Z", "iopub.status.idle": "2024-03-21T17:44:05.682671Z", "shell.execute_reply": "2024-03-21T17:44:05.682115Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Kokkos::OpenMP::initialize WARNING: You are likely oversubscribing your CPU cores.\n", " process threads available : 4, requested thread : 8\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Kokkos::OpenMP::initialize WARNING: You are likely oversubscribing your CPU cores.\n", " Detected: 4 cores per node.\n", " Detected: 1 MPI_ranks per node.\n", " Requested: 8 threads per process.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Kokkos is using 8 threads\n" ] } ], "source": [ "import numpy as np\n", "import scipy \n", "from scipy.optimize import minimize\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import multivariate_normal\n", "\n", "import os\n", "os.environ['KOKKOS_NUM_THREADS'] = '8'\n", "\n", "import mpart as mt\n", "print('Kokkos is using', mt.Concurrency(), 'threads')\n", "plt.rcParams['figure.dpi'] = 110" ] }, { "cell_type": "markdown", "id": "d2564dbe", "metadata": {}, "source": [ "## Problem formulation" ] }, { "cell_type": "markdown", "id": "be025198", "metadata": {}, "source": [ "### Bayesian inference" ] }, { "cell_type": "markdown", "id": "81e2c03f", "metadata": {}, "source": [ " A way construct a transport map is from an unnormalized density. One situation where we know the probality density function up to a normalization constant is when modeling inverse problems with Bayesian inference.\n", "\n", "For an inverse problem, the objective is to characterize the value of some parameters $\\boldsymbol{\\theta}$ of a given system, knowing some the value of some noisy observations $\\mathbf{y}$.\n", "\n", "With Bayesian inference, the characterization of parameters $\\boldsymbol{\\theta}$ is done via a *posterior* density $\\pi(\\boldsymbol{\\theta}|\\mathbf{y})$. This density characterizes the distribution of the parameters knowing the value of the observations.\n", "\n", "Using Bayes' rule, the posterior can decomposed into the product of two probability densities:\n", "\n", "1. The prior density $\\pi(\\boldsymbol{\\theta})$ which is used to enforce any *a priori* knowledge about the parameters.\n", "2. The likelihood function $\\pi(\\mathbf{y}|\\boldsymbol{\\theta})$. This quantity can be seen as a function of $\\boldsymbol{\\theta}$ and gives the likelihood that the considered system produced the observation $\\mathbf{y}$ for a fixed value of $\\boldsymbol{\\theta}$. When the model that describes the system is known in closed form, the likelihood function is also knwon in closed form.\n", "\n", "Hence, the posterior density reads:\n", "\n", "$$\n", "\\pi(\\boldsymbol{\\theta}|\\mathbf{y}) = \\frac{1}{c} \\pi(\\mathbf{y}|\\boldsymbol{\\theta}) \\pi(\\boldsymbol{\\theta})\n", "$$\n", "\n", "where $c = \\int \\pi(\\mathbf{y}|\\boldsymbol{\\theta}) \\pi(\\boldsymbol{\\theta}) d\\theta$ is an normalizing constant that ensures that the product of the two quantities is a proper density. Typically, the integral in this definition cannot be evaluated and $c$ is assumed to be unknown." ] }, { "cell_type": "markdown", "id": "c040b8ae", "metadata": {}, "source": [ "The objective of this examples is, from the knowledge of $\\pi(\\mathbf{y}|\\boldsymbol{\\theta})\\pi(\\boldsymbol{\\theta})$ build a transport map that transports samples from the reference $\\eta$ to samples from posterior $\\pi(\\boldsymbol{\\theta}|\\mathbf{y})$." ] }, { "cell_type": "markdown", "id": "c62794b1", "metadata": {}, "source": [ "### Application with the Biochemical Oxygen Demand (BOD) model from [[Sullivan et al., 2010]](https://or.water.usgs.gov/proj/keno_reach/download/chemgeo_bod_final.pdf)\n", "\n", "#### Definition\n", "\n", "To illustrate the process describe above, we consider the BOD inverse problem described in [[Marzouk et al., 2016]](https://arxiv.org/pdf/1602.05023.pdf). The goal is to estimate $2$ coefficients in a time-dependent model of oxygen demand, which is used as an indication of biological activity in a water sample.\n", "\n", "The time dependent forward model is defined as\n", "\n", "$$\n", "\\mathcal{B}(t) = A(1-\\exp(-Bt))+\\mathcal{E},\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathcal{E} & \\sim \\mathcal{N}(0,1e-3)\\\\\n", "A & = \\left[0.4 + 0.4\\left(1 + \\text{erf}\\left(\\frac{\\theta_1}{\\sqrt{2}} \\right)\\right) \\right]\\\\\n", "B & = \\left[0.01 + 0.15\\left(1 + \\text{erf}\\left(\\frac{\\theta_2}{\\sqrt{2}} \\right)\\right) \\right]\n", "\\end{aligned}\n", "$$\n", "\n", "The objective is to characterize the posterior density of parameters $\\boldsymbol{\\theta}=(\\theta_1,\\theta_2)$ knowing observation of the system at time $t=\\left\\{1,2,3,4,5 \\right\\}$ i.e. $\\mathbf{y} = (y_1,y_2,y_3,y_4,y_5) = (\\mathcal{B}(1),\\mathcal{B}(2),\\mathcal{B}(3),\\mathcal{B}(4),\\mathcal{B}(5))$." ] }, { "cell_type": "markdown", "id": "1a204dc1", "metadata": {}, "source": [ "Definition of the forward model and gradient with respect to $\\mathbf{\\theta}$:" ] }, { "cell_type": "code", "execution_count": 2, "id": "f66ccac0", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.685478Z", "iopub.status.busy": "2024-03-21T17:44:05.684959Z", "iopub.status.idle": "2024-03-21T17:44:05.688867Z", "shell.execute_reply": "2024-03-21T17:44:05.688397Z" } }, "outputs": [], "source": [ "def forward_model(p1,p2,t):\n", " A = 0.4+0.4*(1+scipy.special.erf(p1/np.sqrt(2)))\n", " B = 0.01+0.15*(1+scipy.special.erf(p2/np.sqrt(2)))\n", " out = A*(1-np.exp(-B*t))\n", " return out\n", "\n", "def grad_x_forward_model(p1,p2,t):\n", " A = 0.4+0.4*(1+scipy.special.erf(p1/np.sqrt(2)))\n", " B = 0.01+0.15*(1+scipy.special.erf(p2/np.sqrt(2)))\n", " dAdx1 = 0.31954*np.exp(-0.5*p1**2)\n", " dBdx2 = 0.119683*np.exp(-0.5*p2**2)\n", " dOutdx1 = dAdx1*(1-np.exp(-B*t))\n", " dOutdx2 = t*A*dBdx2*np.exp(-t*B)\n", " return np.vstack((dOutdx1,dOutdx2))" ] }, { "cell_type": "markdown", "id": "2b547451", "metadata": {}, "source": [ "One simulation of the forward model:" ] }, { "cell_type": "code", "execution_count": 3, "id": "427bdf16", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.690683Z", "iopub.status.busy": "2024-03-21T17:44:05.690387Z", "iopub.status.idle": "2024-03-21T17:44:05.796514Z", "shell.execute_reply": "2024-03-21T17:44:05.796018Z" } }, "outputs": [ { "data": { "image/png": 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Vvp5umhIfqZvP7aVugZ3MDQjglFHeAKAD2LCvSC+s2aW16QVNY8G+Hrr53F668awoBXRyNzEdgNOJ8gYADsowDP2YWajn1+zSj7sLm8Yjgjpp1qjeumZEJEdXAR0Q5Q0AHIxhGPo6vUDPr9mpjftLmsb7hvrqT6OjddmQbnJ3dTEvIIA2RXkDAAdhGIZWp+br2dU7m+3RNrCbvxLH9NHYAV3lwkkIQIdHeQMAO2cYhr5KzdezqzO0/UBZ0/jwHoFKHNNXF/YPYbsPwIlQ3gDATh0ubc98laEdB38tbSN7BunPCf10TnQXShvghChvAGBnDMPQ1xkF+ueXGdqa/evt0fienfXnhL46m9IGODW7eaI1IyND48ePl4+Pj0JDQzV79mxVV1cf97rKykrde++9io6Olre3t/r27au//e1vqq2tbYfUAHD6GIah/+48pMkv/6Cb31zXVNxG9gzSezPP1JJZZ+kcTkQAnJ5dzLyVlJRozJgxioqK0vLly5Wfn685c+aosLBQixcvPua1f/zjH/XRRx/pH//4hwYNGqTk5GQ9+OCDKioq0nPPPddO3wEAnJoN+4r05Mp0/bS7qGlsaGSg/jK2H0dYAWjGLsrbokWLVFxcrM2bNys4OFiS5ObmpqlTp2ru3LmKjY094nUNDQ1aunSp/vrXvyoxMVGSNHr0aO3bt09LliyhvAGweykHy/T0qnStTstvGhvcPUBzLu7HQgQAR2QX5S0pKUkJCQlNxU2SJk+erOnTpyspKemo5c0wDDU0NCggIKDZeGBgoAzDaNPMAHAq9h6q1MIvM/TJloNNY31DffWXsf01bmAYpQ3AUdlFeUtNTdX06dObjXl6eio6OlqpqalHvc7d3V0333yznn/+eZ177rkaOHCg1q1bp9dee61pJg4A7ElBea2eW71T7yfvV8Mvh49GBHXSnQn9dOWw7nJlnzYAx2EX5a24uFiBgYEtxoOCglRUVNTygt94+eWXdeutt+qss85qGktMTNRDDz10zOvKyspUVvbr0vucnJzWhQaAViivqddr3+3R69/tVlWdVZIU7OupOy7qo+tH9pCHm92sHwNg5+yivEk64i0CwzCOe+vg3nvv1aeffqpXX31V/fv314YNG/Twww8rKChI8+bNO+p1CxcuPObXAeB0qLfa9N7P+/Xc6p0qrKyTJPl6umnWqN6afl4v+XjazR/DAByEXfypERQUpOLi4hbjJSUlR33eTZK2b9+up556Sh9//LGuuOIKSdKoUaPk4uKiu+66S7fddptCQ0OPeO2cOXM0c+bMps9zcnIUHx9/it8JADQyDEOrUvL02Odp2nOoUpLk7mrR787qqdtGR6uLr6fJCQE4Krsob7GxsS2ebautrVVmZmaLZ+F+KyUlRZI0dOjQZuNDhw5VQ0OD9u3bd9Ty5u/vL39//1MLDgBHsGl/sRYkpWrd3l//p/SKuG66e1x/RXb2NjEZgI7ALsrbhAkTNH/+fBUWFqpLly6SpBUrVqi2tlYTJkw46nVRUVGSpA0bNqhHjx5N4+vXr5ck9ezZs+1CA8D/OFBSrcc/T2u2gjS+V2fNnRCruMhA84IB6FDsorzNmjVLzz//vCZOnKgHH3ywaZPeqVOnNrttOmPGDL399ttqaGiQJI0YMULx8fG69dZblZeXp/79+2vdunV65JFHdN111ykkJMSsbwmAE6msbdAr32Tq1W93q7bBJknqHeKj+y6JVUJsKNt+ADit7KK8BQYGas2aNUpMTNSkSZPk7e2tKVOm6PHHH2/2OqvVKqvV2vS5q6ur/vOf/+jBBx/U448/rtzcXEVGRioxMVFz585t728DgJOx2Qwt25itp1amK7+88Ui+QG933ZnQTzec2UPurqwgBXD6WQx2s5UkZWdnKzIyUllZWYqIiDA7DgA7t2Ffkf72SYq2HWg8f9TNxaLfn9NTd4zpqwBvd5PTAXA0rekhdjHzBgCOIre0Ro99nqqPNv/6XFtCbJjunxCj3iG+JiYD4CwobwBwAmobrHr9uz16ce2upk12+4b66uHLB+q8vsHHuRoATh/KGwAcx9r0fM37ZIf2FlZJkvy83HRnQj/97uwonmsD0O4obwBwFFlFVXrk0xR9mZInSbJYpOtHRuqusf3ZZBeAaShvAPA/auqtevXb3Xpx7a6mrT/iIgM1f+JADYkINDccAKdHeQOA3/g2o0APfby96RZpZx8P3TO+v645I1IuLuzXBsB8lDcAkJRXVqP5n6bo0605khpvkU49s4fuGttfgd4eJqcDgF9R3gA4NavN0Ds/7tXTqzJUXtt4esvg7gH6x1WDuEUKwC5R3gA4re0HSnX/im3amt240a6fp5vuGtdfN54VJVdukQKwU5Q3AE6nqq5B//wyQ298v1dWW+MhM5cNCddDlw1QqL+XyekA4NgobwCcytr0fD2wYrsOlFRLkiI7d9LfrxysC/qFmJwMAE4M5Q2AUyisqNUjn6bo41+OtXJ1sWjm+b3054v6qZOHq8npAODEUd4AdGiGYeiTLQc17z8pKqqskyTFRQRowaTBGtgtwOR0ANB6lDcAHVZOabUeWLFdq9PyJUmd3F1117j+mnZOTxYkAHBYlDcAHY5hGHo/OUsLklJV8cv2H+f26aJHrxqiHl28TU4HAKeG8gagQ8kurtK9y7fpv7sOSWo8RP7BSwfomhERsliYbQPg+ChvADoEwzD0XvJ+LfgsVZV1VklSQmyY/nHVIIWx/QeADoTyBsDhZRdX6Z7lW/X9rkJJUkAnd827YqAmDu3GbBuADofyBsBhGYahpeuz9cinKU3Ptl08oHG2LdSP2TYAHRPlDYBDyi+v0X3LtzWtJA3o5K5HJg7UFXHMtgHo2ChvABzOZ1tz9MBH21RcVS9JurB/iB6fPIRn2wA4BcobAIdRWl2vhz/ero9+OSXBx8NVD1w2QNePjGS2DYDToLwBcAg/ZhbqLx9u1sHSGklSfK/OeurqOPZtA+B0KG8A7Fptg1ULv8zQq9/ulmFI7q4W3TW2v2ae35tTEgA4JcobALuVkVeu2R9sVmpOmSSpX5iv/nndUM4kBeDUKG8A7I5hGFr88379/dMU1TbYJEk3n9tT94yPkZe7q8npAMBclDcAdqWosk5/XbZVX6XmSZJC/Tz19LVxOr9viMnJAMA+UN4A2I0fdh3SnR9uVl5ZrSQpITZUT1wdp84+HiYnAwD7QXkDYLp6q00Lv8zQK99kyjAkTzcXPXBprG48K4otQADgf1DeAJjqQEm17nh/kzbsK5Yk9Q/z03NThql/Vz+TkwGAfaK8ATDNqh25unvZVpVWN56UMPXMHnrwsgEsSgCAY6C8AWh3tQ1WPfZ5mt78fq8kyc/TTY9NHqJLh4SbGwwAHADlDUC7yiqq0m3vbdTW7FJJUlxEgJ6fMpyTEgDgBFHeALSbL1Py9JcPN6uspkGSNPO8Xvrr+Bh5uLmYnAwAHAflDUCbq7fa9OTKdL367W5Jkr+Xm56+dqguHhBmcjIAcDyUNwBtKre0Rre/t1Hrf1lNOiQiQC/eMFyRnblNCgAng/IGoM38kHlIie9tUmFlnSTpprOjNPfSWHm6sZoUAE4W5Q3AaWcYhl79drce/yJNNkPy9nDVY5OH6Iq4bmZHAwCHR3kDcFqV19Tr7qVb9cWOXElSdIiPFv3uDPUJZdNdADgdKG8ATpudeeWatXiDdhdUSpImDO6qJ66Ok68nf9QAwOnCn6gATosvtufqLx9uVmWdVS4W6d5LYnTL+b05mxQATjPKG4BTYrMZeuarDD23ZpckqYuPh56/YZjOiQ42ORkAdEyUNwAnrbS6Xncu2aw1afmSpMHdA7Tod2eoW2Ank5MBQMdFeQNwUnbll+sP/7dBuw81Pt82aXh3LbhqMIfKA0Abo7wBaLU1aXm64/3NqqhtkKuLRQ9cGqtp5/Tk+TYAaAeUNwAnzDAMLfpl/zbDkDr7eOjFG4br7OguZkcDAKdBeQNwQmrqrbr/39v0700HJEkxXf302k0jOOYKANoZ5Q3AceWX1egP72zQ5qwSSdLYAWH653VD5cP+bQDQ7viTF8AxbT9Qqplvr1duWY0kKXFMH92Z0E8uLjzfBgBmoLwBOKpVO3I1+4PNqq63ytPNRU9dE6fLOZ8UAExFeQPQgmEYeu273Xr088aFCSF+nnr9phGKiww0OxoAOD3KG4Bm6hpsevCj7VqyPkuSFBvur3/9fgQb7wKAnaC8AWhSWl2vW9/ZoB93F0qSEmJD9ez1w1iYAAB2hD+RAUiSsoqqdPNb67Qrv0KSNPO8XrpvQqxcWZgAAHaF8gZAW7NLNP2t9TpUUSsXizRv4iD97qwos2MBAI6A8gY4ua9S8pT4/iZV11vl7eGqF28YrtExoWbHAgAcBeUNcGL/9+Ne/e2THbIZUqifp96YNlKDugeYHQsAcAyUN8AJ2WyGnliZrle+yZTUeNTVG9NGsqIUABwA5Q1wMnUNNt2zfKtW/HJG6bl9uujlG8+Qv5e7yckAACeC8gY4kfKaev1x8Ub9d9chSdKVQ7vpiavj5OHmYnIyAMCJorwBTiK/rEbT3lynlJwySdKsC3rrnnExnFEKAA7Gbv53OyMjQ+PHj5ePj49CQ0M1e/ZsVVdXn9C1RUVF+tOf/qTw8HB5eXmpX79+WrRoURsnBhzHnkOVmvTyD0rJKZPFIj18+QDdd0ksxQ0AHJBdzLyVlJRozJgxioqK0vLly5Wfn685c+aosLBQixcvPua1FRUVuuCCC9SpUyc9++yzCg0N1c6dO1VfX99O6QH7tv1Aqaa9maxDFXXycHXRP68bqkuHhJsdCwBwkuyivC1atEjFxcXavHmzgoODJUlubm6aOnWq5s6dq9jY2KNeu2DBAlVXVys5OVmdOjWulLvwwgvbIzZg937IPKQ//N8GVdQ2yNfTTa/edIbOiQ42OxYA4BTYxW3TpKQkJSQkNBU3SZo8ebI8PT2VlJR0zGvfeOMNzZgxo6m4AWj0xfYcTXtjnSpqG9TFx0Mf/OEsihsAdAB2Ud5SU1NbzK55enoqOjpaqampR71uz549ysvLU1BQkC677DJ5enqqS5cuuu222074eTmgI/ogeb/+9O5G1VltigjqpGV/PIfNdwGgg7CL26bFxcUKDAxsMR4UFKSioqKjXpebmytJuvvuu3XNNdcoKSlJKSkpuu+++1RXV6fXXnvtqNeWlZWprKys6fOcnJyT/wYAO/Lqt5lakJQmSeof5qf/mxGvMH8vk1MBAE4XuyhvkmSxtFz1ZhjGEccPs9lskqTY2Fi98cYbkqSLLrpI9fX1uvvuuzV//nx17dr1iNcuXLhQ8+bNOw3JAftgGIaeXpWhF9bukiQN7xGoN6fFK8CbzXcBoCOxi9umQUFBKi4ubjFeUlKioKCgo17XuXNnSdKYMWOajY8ZM0Y2m+2Yt1znzJmjrKyspo/k5OSTTA+Yz2Yz9PAnO5qK2/l9g7V45pkUNwDogOxi5i02NrZF0aqtrVVmZqamT59+1Ouio6Pl4eHRYtwwDEmSi8vRu6m/v7/8/f1PMjFgPxqsNv112Vb9+5fjrsYNDNNzU4bJ083V5GQAgLZgFzNvEyZM0OrVq1VYWNg0tmLFCtXW1mrChAlHvc7Dw0MXX3yxVq9e3Wx89erVcnNz04ABA9osM2APahusuu29jU3FbdLw7nrxhuEUNwDowOyivM2aNUuBgYGaOHGiVq5cqXfeeUeJiYmaOnVqs1WoM2bMkJtb88nChx56SFu2bNFNN92kVatW6ZlnntHDDz+s22+/XSEhIe39rQDtpqbeqlnvbNDKHXmSpN+fHaWnro6Tm6td/GcNAGgjdnHbNDAwUGvWrFFiYqImTZokb29vTZkyRY8//niz11mtVlmt1mZj8fHx+uyzz3Tffffp8ssvV5cuXZSYmKj58+e357cAtKuqugbNfHu9fshsnK3+04XRuntc/2Mu8AEAdAwW4/ADYk4uOztbkZGRysrKUkREhNlxgKMqr6nX9LfWad3exkU+cy7up8QxfShuAODAWtND7GLmDcCJKa2q101vJmtLVokk6b5LYjTrgmhzQwEA2hXlDXAQxZV1uvFfP2vHwcbNpeddMVC/P6enuaEAAO2O8gY4gKLKOk19/Wel5pTJYpEevWqwro/vYXYsAIAJKG+AnSusqNXU139WWm65LBbpyavjdPUZPJcJAM6K8gbYsUMVtZr62s9Kz2ssbk9fE6dJwyluAODMKG+AnSoor9UNr/2knfkVcrFIC68dqiuHdTc7FgDAZJQ3wA4dqmhe3P553VBNHEpxAwBQ3gC7U1RZpxtf/1k78yvk6mLRM9cN1eVx3cyOBQCwE5yjA9iRkqq6psUJjbdK4yhuAIBmKG+AnSitqteN//p1O5Cnr43jVikAoAXKG2AHSqvr9bs3ftb2A43F7YnJQ3TVMFaVAgBaorwBJquobdC0N5O1NbtUUuMGvNeMiDQ5FQDAXlHeABPV1Fs18+112rS/RJL09ysHcXICAOCYKG+ASWobrJr1zgb9tLtIkvTQZQN041lRJqcCANg7yhtggnqrTXe8v0nfZBRIku4e11/Tz+tlcioAgCOgvAHtzGoz9JcPt2jljjxJ0m2jo3Xb6D4mpwIAOArKG9CODMPQ3BXb9MmWg5Kkm8/tqbvG9jc5FQDAkZzSCQtZWVnKzc2VxWJR165dFRHB1gbA0RiGoQVJqfpgXZYkaUp8pB66bIAsFovJyQAAjqTVM282m02PPvqoIiIi1LNnT5111lk688wzFRUVpR49eujJJ5+UYRhtkRVwaC99nanXvtsjSbo8rpv+fuVgihsAoNVaPfM2efJkffzxxxo5cqRuvvlmRUZGyjAMZWdn64svvtA999yj5ORkLV26tC3yAg7pnZ/26cmV6ZKk0f1DtPDaOLm6UNwAAK3XqvK2fPlyffzxx3r11Vc1c+bMFl+fP3++Xn31Vd16661asWKFrrrqqtMWFHBUH28+oIc+3i5Jiu/ZWS9NPUPurjxuCgA4Oa16B1m8eLGuvvrqIxa3w/7whz/o6quv1jvvvHPK4QBHtyYtT3/5cIsMQxoQ7q/Xp41QJw9Xs2MBABxYq8rbxo0bdeWVVx73dVdeeaU2bNhwspmADmH93iL9cfFGNdgM9Q720f/NiJe/l7vZsQAADq5V5a2goEA9ehz/6J4ePXqooKDgpEMBji4jr1zT31qn2gabwgO89M7MMxXs62l2LABAB9Cq8lZTUyMPD4/jvs7d3V21tbUnHQpwZAdKqnXTv5JVVtOggE7uent6vLoHdjI7FgCgg2j1atOvv/5a2dnZx3xNRkbGSQcCHFlRZZ1u+tfPyi2rkZe7i96YNkL9wvzMjgUA6EBaXd7uvffeE3od+1fB2VTVNWj6W+uUWVApVxeLXpo6XGdEdTY7FgCgg2lVeduzZ09b5QAcWr3Vptve3ajNWSWSpMcnD9GYmDBzQwEAOqRWlbeoqKi2ygE4LMMw9MCK7Vqb3rhI595LYnT1GRwVBwBoGyd9tumBAwf07bffKjs7WxaLRd27d9eoUaPUvXv305kPsHvPrt6pJesbzyuddk5PzRrV2+REAICOrNXlraioSLfffruWLl0qm83W7BxTV1dXXXvttXr++efVuTPP+qDj+3Bdlp75aqckafzArnqQg+YBAG2sVeWtrKxMo0aN0s6dO/W73/1OV155ZdOt1H379unjjz/W4sWLtXXrVv3www/y82OVHTquten5um/FNknSiKggPXP9UM4rBQC0uVaVt8cee0y5ublav369Bg8e3OxrcXFxuuKKK3TnnXdq9OjReuyxx/SPf/zjtIYF7MXW7BLd9u5GWW2Geof46LWbRsjLnWOvAABtr1Wb9C5btkz3339/i+L2W4MGDdJ9992npUuXnnI4wB5lF1dp+lvrVVVnVbCvp96+OV5BPsffvBoAgNOhVeVt//79Gjly5HFfN2LECGVlZZ10KMBeldXUa/pb63SoolbeHq566+aRiuzsbXYsAIATaVV58/f3V15e3nFfl5eXx/Nu6HDqrTb9afFGZeRVyMUiPT9lmAZ1DzA7FgDAybSqvJ133nl69tlnZbVaj/oaq9Wq5557TqNGjTrlcIC9OLyX2393HZIkPXz5QF0Uyya8AID216rydv/99ys5OVkXXXSRvv/++xZf/+GHH5SQkKB169bp/vvvP20hAbO9/E1m015u08/tpd+f09PcQAAAp9Wq1aYjRozQe++9p+nTp2vUqFEKCgpqtlVIcXGxfH199d5772n48OFtEhhob59uPagnvkiXJF08IExzL401OREAwJm1epPeyZMn69xzz9Vrr72mb775RgcOHJAkDR06VBdeeKFmzpyprl27nvaggBk27S/WnA+3SJKGRAToWfZyAwCYzGL89oiEU5Camqrt27crODhYo0aNkqurY+15lZ2drcjISGVlZSkignMpIR0sqdYVL3yvQxW16hbgpY9uO1eh/l5mxwIAdECt6SGteuZNkl566SUlJCToggsu0AsvvCBJ+uMf/6hBgwbp+uuvV0JCgoYNG6ZDhw6dXHrADlTWNmjG2+ubtgR5/fcjKW4AALvQqvL27LPP6vbbb5dhGAoKCtLdd9+tGTNm6IMPPtCTTz6pzz77TI899pj279+vRx55pK0yA23KZjP05yWblZpTJotFevb6YRrQzd/sWAAASGrlM2+vvfaa7r33Xi1YsEBS44kL1113XVOpk6Tx48fLzc1NL774op577rnTnxhoY0+sTNeXKY37Gd4zPkYXD2BLEACA/WjVzNvu3bs1duzYps/HjRsnwzB0xhlnNHsdJyzAUS3bkK1XvsmUJF19RoRmjeptciIAAJprVXmrqamRt/evRwEd/ntPT89mr/Pw8FBDQ8NpiAe0nw37inX/v7dJkuJ7dtY/rhoki4WVpQAA+9LqBQtHejPjDQ6OLqe0WrPe2aA6q00RQZ308o3D5enmWCumAQDOodX7vI0ePVouLs073/nnn99szGaznXoyoJ3U1Fv1h//b0LSy9LWbRqiLr+fxLwQAwAStKm8PP/xwW+UATGEYhv66bKu2HSiVJC28Nk6x4awsBQDYL8obnNor3+zWJ1sOSpJmX9RX4weFm5wIAIBja/Uzb0BHsSYtT0+sTJMkjRsYptkX9TU5EQAAx0d5g1PaXVCh2e9vlmFIMV39tPDaoXLhzFIAgAOgvMHpVNQ26A/vbFB5bYMCvd312k0j5OPZ6rU7AACYgvIGp2IYhu76cIt25VfIxSK9MGW4Ijt7H/9CAADsBOUNTuWlrzP1xY5cSY1HX53XN9jkRAAAtA7lDU7j6/R8PbUqXZJ06ZBw/YGjrwAADojyBqewr7BSd7y/SYYh9Q/z0xOTh3AyCADAIVHe0OFV11k1650NKqtpkL+Xmxb97gwWKAAAHBblDR2aYRiau2Kb0nLLZbFIz14/TD2DfcyOBQDASaO8oUN7L3m//r3pgKTGExRGx4SanAgAgFNDeUOHtSWrRPM+SZEkXdAvRHeM4QQFAIDjo7yhQyqurNOf3t2oOqtN3QM76ZnrOEEBANAx2E15y8jI0Pjx4+Xj46PQ0FDNnj1b1dXVrfo1VqxYIYvFokGDBrVRSjgCq83Q7CWbdaCkWh6uLnpp6nAF+XiYHQsAgNPCLpbclZSUaMyYMYqKitLy5cuVn5+vOXPmqLCwUIsXLz6hX6O6ulpz5sxRWFhYG6eFvXt+zU59m1EgSXr4igGKiww0NxAAAKeRXZS3RYsWqbi4WJs3b1ZwcOOO925ubpo6darmzp2r2NjY4/4ajz76qHr06KFevXpp/fr1bR0Zduq7nQV6dvVOSdLk4RG6Ib6HyYkAADi97OK2aVJSkhISEpqKmyRNnjxZnp6eSkpKOu71mZmZevrpp/Xcc8+1ZUzYubyyGv35g81NG/H+/cpBbMQLAOhw7GLmLTU1VdOnT2825unpqejoaKWmph73+tmzZ+umm25SXFzcCf+eZWVlKisra/o8JyfnxAPD7jRYbUp8b5MKK+vk7eGqF6cOVycPV7NjAQBw2tlFeSsuLlZgYGCL8aCgIBUVFR3z2v/85z/64YcflJGR0arfc+HChZo3b16rroH9WvhlhpL3Nv678uikweoT6mtyIgAA2oZd3DaVdMTbW4ZhHPO2V01Njf785z9r3rx5zW65nog5c+YoKyur6SM5ObnVmWEf1qbn66WvMyVJN5zZQxOHdjc5EQAAbccuZt6CgoJUXFzcYrykpOSYixWeeeYZubi4aMqUKSopKZEk1dXVyWazqaSkRN7e3vLwOPIWEf7+/vL39z8t+WGegyXVmrNksyRpQLi/HrpsgLmBAABoY3Yx8xYbG9vi2bba2lplZmYes7ylpaVp165dCgkJUVBQkIKCgvT+++8rNTVVQUFBeuONN9o6OkxUb7Xpjvc3qbiqXr6ebnpp6nB5ufOcGwCgY7OLmbcJEyZo/vz5KiwsVJcuXSQ1brhbW1urCRMmHPW6e++9V9OmTWs29thjjyk9PV1vvvmm+vXr15axYbJnvsrQ+n2NM7aPTx7CgfMAAKdgFzNvs2bNUmBgoCZOnKiVK1fqnXfeUWJioqZOndps5m3GjBlyc/u1b8bExOjCCy9s9tG1a1f5+PjowgsvVLdu3cz4dtAO/rvzUNNzbjee1UOXDgk3OREAAO3DLspbYGCg1qxZIx8fH02aNElz5szRlClT9NprrzV7ndVqldVqNSkl7EVBea3u/LBxP7eYrn564FKecwMAOA+LYRiG2SHsQXZ2tiIjI5WVlaWIiAiz4+AobDZD095ap28zCtTJ3VX/STxXfUL9zI4FAMApaU0PsYuZN+BEvfbd7qZzS+ddMZDiBgBwOpQ3OIxN+4v15Mp0SdIVcd10zQhmSAEAzofyBodQVlOvOz7YpAaboR6dvfWPqzi3FADgnChvcAgPfbRdWUXVcnOx6Pkpw+Tn5W52JAAATEF5g937aNMBfbT5oCTpL2P7Ky4y0NxAAACYiPIGu7a/sEoPfLRdknR27y6aNaq3yYkAADAX5Q12q8Fq05+XbFJFbYMCOrlr4XVxcnHhOTcAgHOjvMFuPbdmlzbuL5EkPT55sMIDOpkbCAAAO0B5g11at7dIL6zZKUmaEh+p8YM4/goAAInyBjtUVlOvP3+wWTZD6h3iowcv4/grAAAOo7zB7sz7JEUHShq3BXn2umHy9nAzOxIAAHaD8ga78vm2HC3fmC1JuvPifhocEWByIgAA7AvlDXYjv6xG963YJkkaERWkWy+INjkRAAD2h/IGu2AYhu5etlUlVfXy8XDVwmuHypVtQQAAaIHyBruw+Kd9+iajQJL08OUD1aOLt8mJAACwT5Q3mC6zoEL/SEqVJI0dEKZrRkSYnAgAAPtFeYOp6q02zVmyWTX1NgX7eujRSYNlsXC7FACAo6G8wVQvf52pLdmlkqTHJw9RF19PkxMBAGDfKG8wzY6DpXpudeMpCteNiNRFsWEmJwIAwP5R3mCK2gar/vLhFjXYDHUP7KQHLos1OxIAAA6B8gZTPLd6p9JyyyVJT149RH5e7iYnAgDAMVDe0O427S/Wy19nSpKmndNT5/QJNjkRAACOg/KGdlVTb9Vflm6RzZB6dvHWX8f3NzsSAAAOhfKGdvXkynTtLqiUi0V6+to4Dp0HAKCVKG9oN+v3FumN7/dIkm4Z1VtnRHU2OREAAI6H8oZ2UVNv1V+XbZVhSH1CfXVnQj+zIwEA4JAob2gXC7/M0O5DjbdLn7x6iLzcXc2OBACAQ6K8oc1t3F+s17/bLUmaeX5vDesRZHIiAAAcF+UNbaqm3qq7f1ld2jvYR3Mu5nYpAACngvKGNvXs6p3KLKiUxSI9we1SAABOGeUNbWZLVokWffPrZrwjerK6FACAU0V5Q5uoa7Dpr8u2ymZIPTp76+5xbMYLAMDpQHlDm3j560yl5zWeXfr45CFsxgsAwGlCecNptzOvXC+s3SlJuuHMHjo7uovJiQAA6DgobzitbDZD9yzfqnqroTB/T917SYzZkQAA6FAobzit3vlpnzbuL5EkzZ84SP5e7uYGAgCgg6G84bQ5UFKtJ75IkyRdOjhcYwd2NTkRAAAdD+UNp4VhGHpgxTZV1lkV0Mldf7tioNmRAADokChvOC0+2XJQa9MLJEkPXBqrED9PkxMBANAxUd5wyoor6zTvPymSpPP6BOvqMyJMTgQAQMdFecMpW5CUqqLKOnm5u2jBVYNlsVjMjgQAQIdFecMp+TGzUEs3ZEuS/pzQTz26eJucCACAjo3yhpNW22DV3BXbJEkxXf0047xeJicCAKDjo7zhpL38daZ2H6qUxSItmDRY7q786wQAQFvj3RYnZVd+hV5amylJuvHMKA3vEWRyIgAAnAPlDa1mGIbmrtimOqtNoX6eunt8f7MjAQDgNChvaLWlG7L1854iSdLfrhjIEVgAALQjyhtapaiyTguSUiVJY2JCdckgjsACAKA9Ud7QKo99nqqSqnp1cnfVIxMHsqcbAADtjPKGE7Z+b5E+XN+4p9sdF/VVRBB7ugEA0N4obzghDVabHvhouySpT6gve7oBAGASyhtOyFs/7FVabrkkaf7EQfJw418dAADMwDswjiu3tEb//DJDknTVsO46O7qLyYkAAHBelDcc1/zPUlRZZ5Wfl5vunxBrdhwAAJwa5Q3H9G1GgT7bmiNJ+uu4/grx8zQ5EQAAzo3yhqOqbbDq4U92SJIGdw/QDWdGmZwIAABQ3nBUr3+3R3t+OXj+71cOkqsLe7oBAGA2yhuO6EBJtZ5fs1OSdP3IHoqLDDQ3EAAAkER5w1Es+CxVNfU2BXRy193jOHgeAAB7QXlDC9/vOqTPtjUuUrhrXH919vEwOREAADiM8oZm6q22pkUKA7v564b4HiYnAgAAv2U35S0jI0Pjx4+Xj4+PQkNDNXv2bFVXVx/zmrKyMv3tb3/TmWeeqcDAQIWEhGj8+PHauHFjO6XueN7+Ya925VdIkh6ZOJBFCgAA2Bm7KG8lJSUaM2aMysvLtXz5cj311FN69913dcsttxzzuv3792vRokVKSEjQkiVL9Oabb8pqteqcc86hwJ2E/LIaPfNV4yKFycMjdEZUZ5MTAQCA/+VmdgBJWrRokYqLi7V582YFBwdLktzc3DR16lTNnTtXsbFH3tW/V69eyszMlLe3d9NYQkKCevfureeff15vvvlmu+TvKB77PE0VtQ3y83TTPZewSAEAAHtkFzNvSUlJSkhIaCpukjR58mR5enoqKSnpqNf5+Pg0K26S5OXlpdjYWB08eLDN8nZEG/YV6d+bDkiS/nxxP4X6eZmcCAAAHIldlLfU1NQWs2uenp6Kjo5Wampqq36tyspKbdq06aizdYeVlZUpOzu76SMnJ6fVuTsKm83QvP+kSJL6hvrqprM5SQEAAHtlF7dNi4uLFRgY2GI8KChIRUVFrfq1HnjgAVVVVen2228/5usWLlyoefPmterX7qiWbczW1uxSSdJDlw+Qu6tddHoAAHAEdvMubbG0XNVoGMYRx4/mvffe0zPPPKOFCxeqT58+x3ztnDlzlJWV1fSRnJzc6swdQXlNvZ74Il2SlBAbpvP7hpicCAAAHItdzLwFBQWpuLi4xXhJSclxb38e9uWXX+rmm2/W3XffrT/96U/Hfb2/v7/8/f1bnbWjeWHtLh2qqJW7q0UPXHpi/6wBAIB57GLmLTY2tsWzbbW1tcrMzDyh8pacnKxJkybpmmuu0eOPP95WMTucPYcq9cZ/90iSpp/XSz2DfUxOBAAAjscuytuECRO0evVqFRYWNo2tWLFCtbW1mjBhwjGvTU1N1YQJE3TuuefqzTffbNVtVmf3j89SVG81FOLnqcQxfc2OAwAAToBdlLdZs2YpMDBQEydO1MqVK/XOO+8oMTFRU6dObTbzNmPGDLm5/XqnNz8/X+PGjZO7u7vuvvtubdiwQT/99JN++uknbdq0yYxvxWF8k1Ggr1LzJUl/Hddfvp52cQcdAAAch128YwcGBmrNmjVKTEzUpEmT5O3trSlTprS4BWq1WmW1Wps+T0lJUVZWlqTGzXl/KyoqSnv37m3z7I6o3mrT/E8btwYZEhGgycMjTE4EAABOlMUwDMPsEPYgOztbkZGRysrKUkRExy4z//fjXj30cePh88v/eDbHYAEAYLLW9BC7uG2K9lNaXa9/fpkhSbo8rhvFDQAAB0N5czIvrNmp4qp6ebi56J7xnF8KAICjobw5kX2FlXrrh72SpJnn9VJEkPexLwAAAHaH8uZEHvs8TfVWQ8G+HvrjhdFmxwEAACeB8uYkkvcU6fPtuZKkORf3l5+Xu8mJAADAyaC8OQGbzWjaGiSmq5+uGxlpciIAAHCyKG9O4KPNB7TtQKkkae6lsXJ14RQKAAAcFeWtg6uus+qJL9IlSaP7h+j8viEmJwIAAKeC8tbBvfH9HuWW1cjVxaL7J8Qe/wIAAGDXKG8dWGFFrV7+OlOSdP3ISPUN8zM5EQAAOFWUtw7sudU7VVHbIG8PV81O6Gt2HAAAcBpQ3jqoPYcq9e7P+yVJs0ZFK9TPy+REAADgdKC8dVBPfJGmBpuhED9PzTy/l9lxAADAaUJ564A27Cv+zYa8/eTj6WZyIgAAcLpQ3joYwzC0IClVktQn1FfXnBFhciIAAHA6Ud46mJU78rRhX7Ek6b5LYuTmyo8YAICOhHf2DqTeatMTX6RJks7s1VljYkJNTgQAAE43ylsH8uH6LO0+VClJun9CrCwWjsECAKCjobx1ENV1Vj371U5J0qWDwxUXGWhuIAAA0CYobx3EG9/vUX55rVxdLPrL2H5mxwEAAG2E8tYBlFTV6ZVvGo/Bum5kpHqH+JqcCAAAtBXKWwfw0teZKq9pkJe7i2ZfxDFYAAB0ZJQ3B5dTWq23ftgrSbr53F4K8+cYLAAAOjLKm4N75sudqmuwKaCTu269INrsOAAAoI1R3hzYrvxyLd2QJUn604XRCujkbnIiAADQ1ihvDuzJlemyGVJXfy/9/pyeZscBAADtgPLmoDZnlWjljjxJ0p8T+srL3dXkRAAAoD1Q3hzU06vSJUm9g310NYfPAwDgNChvDujHzEJ9t/OQJOnOi/tx+DwAAE6Ed30HYxiGnvpl1i023F+XDg43OREAAGhPlDcH83V6gTbsK5Yk3TW2n1xcOHweAABnQnlzIDbbr7Nuw3oEakxMqMmJAABAe6O8OZAvduRqx8EySdLdY/vLYmHWDQAAZ0N5cxBWm9G0wvSc6C46p0+wyYkAAIAZKG8OYsWmA8osqJQk3TWuv8lpAACAWShvDqCuwaZnvsqQJCXEhmp4jyCTEwEAALNQ3hzAsg3Zyi6uliTNuZhZNwAAnBnlzc7VNlj1wpqdkqRLB4drQDd/kxMBAAAzUd7s3IfrsnSwtEYWizQ7oa/ZcQAAgMkob3aspt6qF9bukiRdPqSb+oX5mZwIAACYjfJmxz5I3q+8slq5WKQ7LmLWDQAAUN7sVk29VS9+nSlJmji0u/qE+pqcCAAA2APKm51a/NM+FZTXytXFwqwbAABoQnmzQ1V1DXrlm8ZZtyuHdlevYB+TEwEAAHtBebNDi3/ap0MVdb/MuvUxOw4AALAjlDc7U1nboFe+2S1Junp4hKK6MOsGAAB+RXmzM4t/2qeiyjq5uVh0+xhm3QAAQHOUNztSXWfVq982zrpNHh6hyM7eJicCAAD2hvJmR979eZ8KKxufdbttNLNuAACgJcqbnaiptzY963bVsO7q0YVZNwAA0BLlzU68n7xfhyoaT1O4nVk3AABwFJQ3O9A46/brvm492dcNAAAcBeXNDny4PqvpDNPbWGEKAACOgfJmstoGq17+5QzTy+O6KTqEM0wBAMDRUd5MtnR9tnJKa2SxSInMugEAgOOgvJmorsHWNOt26eBw9Qn1MzkRAACwd5Q3E3206YAOlFRLkhLH9DU5DQAAcASUN5NYbYZe+nqXJGncwDD178qsGwAAOD7Km0k+3XpQewurJEm3j2bWDQAAnBjKmwlsNkMvrW181m1UvxANjggwOREAAHAUlDcTfJWap/S8ckmcpgAAAFrHbspbRkaGxo8fLx8fH4WGhmr27Nmqrq4+oWvffvttxcTEyMvLS4MGDdLSpUvbOO3JMwxDL65tfNYtvmdnxffqbHIiAADgSOyivJWUlGjMmDEqLy/X8uXL9dRTT+ndd9/VLbfcctxrly1bpmnTpumqq67S559/rosuukjXXXedVq1a1Q7JW++/uw5pS3apJE5TAAAAredmdgBJWrRokYqLi7V582YFBwdLktzc3DR16lTNnTtXsbGxR732wQcf1DXXXKNHH31UkjR69GilpaXpoYce0tixY9slf2u8sKZx1m1w9wCN6htschoAAOBo7GLmLSkpSQkJCU3FTZImT54sT09PJSUlHfW6PXv2KC0tTVOmTGk2fsMNNyg5OVmHDh1qs8wnY/3eIv28p0iSdNvoPrJYLCYnAgAAjsYuyltqamqL2TVPT09FR0crNTX1mNdJanHtgAEDZBiG0tLSTn/YU/DCL8+69Qvz1dgBYSanAQAAjsgubpsWFxcrMDCwxXhQUJCKioqOeZ2kFtcGBQVJ0jGvLSsrU1lZWdPnOTk5rUjcetsPlOrr9AJJjbNuLi7MugEAgNazi/Im6Yi3EA3DOKFbi//7GsMwjvprHrZw4ULNmzevlSlPTXyvzsorq9Glg8Pb9fcFAAAdh13cNg0KCmqaRfutkpKSplm0o10nqcW1JSUlzb5+JHPmzFFWVlbTR3Jy8kkkP3GDugfow1lna8WfzpWbq138YwcAAA7ILlpEbGxsi2fbamtrlZmZecyVpoe/9r/XpqSkyGKxKCYm5qjX+vv7KyIioukjPLx9ZsM6+3i0y+8DAAA6JrsobxMmTNDq1atVWFjYNLZixQrV1tZqwoQJR72uV69eiomJ0ZIlS5qNv//++4qPj2+2ehUAAKAjsIvyNmvWLAUGBmrixIlauXKl3nnnHSUmJmrq1KnNZt5mzJghN7fmj+k98sgj+vDDDzV37lx9/fXXuvPOO7Vq1So98sgj7f1tAAAAtDm7WLAQGBioNWvWKDExUZMmTZK3t7emTJmixx9/vNnrrFarrFZrs7FrrrlGVVVVWrBggZ566in16dNHS5YsscsNegEAAE6VxTi8NNPJZWdnKzIyUllZWYqIiDA7DgAAcCKt6SF2cdsUAAAAJ4byBgAA4EAobwAAAA6E8gYAAOBAKG8AAAAOhPIGAADgQChvAAAADoTyBgAA4EAobwAAAA6E8gYAAOBA7OJsU3vQ0NAgScrJyTE5CQAAcDaH+8fhPnIslLdfFBQUSJLi4+NNTgIAAJxVQUGBevbseczXcDD9L2pqarRt2zaFhITIza1tOm1OTo7i4+OVnJys8PDwNvk9cGL4WdgPfhb2hZ+H/eBnYT/a42fR0NCggoICDR48WF5eXsd8LTNvv/Dy8tLIkSPb5fcKDw9XREREu/xeODZ+FvaDn4V94edhP/hZ2I+2/lkcb8btMBYsAAAAOBDKGwAAgAOhvLUjf39/Pfzww/L39zc7itPjZ2E/+FnYF34e9oOfhf2wt58FCxYAAAAcCDNvAAAADoTyBgAA4EAobwAAAA6E8gYAAOBAKG/tICMjQ+PHj5ePj49CQ0M1e/ZsVVdXmx3L6SxdulRXXnmlIiMj5ePjoyFDhujll1+WzWYzO5rTq6ioUEREhCwWi9avX292HKf1r3/9S3FxcfLy8lJoaKiuuOIKsyM5pY8++khnnnmm/P39FRYWpkmTJik9Pd3sWB3erl27dOutt2ro0KFyc3PToEGDjvi6pKQkDRs2TF5eXurTp49eeumldk5KeWtzJSUlGjNmjMrLy7V8+XI99dRTevfdd3XLLbeYHc3pPP300/L09NSTTz6pTz/9VFdeeaXuuOMO3XPPPWZHc3rz588/ocOY0Xb+9re/ac6cOZo6dapWrlypRYsWcSSTCb766itNmjRJ/fv31/Lly/XCCy8oPT1dCQkJKisrMzteh7Zjxw599tln6tOnjwYMGHDE1/z444+aOHGihg8frs8//1zTpk1TYmKiXn/99fYNa6BNPfbYY4a3t7dRUFDQNPbuu+8akoyUlBQTkzmf/Pz8FmN33nmn4eXlZdTU1JiQCIZhGKmpqYaPj4/xyiuvGJKMdevWmR3J6aSkpBiurq7GypUrzY7i9GbMmGH07NnTsNlsTWM///yzIclISkoyMVnHZ7Vam/7+97//vTFw4MAWrxk/frwRHx/fbOyWW24xwsPDm13f1ph5a2NJSUlKSEhQcHBw09jkyZPl6emppKQkE5M5n5CQkBZjw4YNU01NjYqKikxIBEm64447dOutt6p///5mR3Fab731lnr37q2xY8eaHcXp1dfXy8/PTxaLpWksMDBQkmSwLWubcnE5diWqra3VmjVrdP311zcbnzp1qnJycrRp06a2jNcM5a2NpaamKjY2ttmYp6enoqOjlZqaalIqHPbdd9+pc+fOCg0NNTuKU1q2bJm2bNmihx56yOwoTu2nn37S4MGDNX/+fIWGhsrDw0MXXHCBNm/ebHY0pzNjxgylpqbq+eefV0lJifbu3au77rpLsbGxuuiii8yO59QyMzNVV1fX4j398C3W9nxPp7y1seLi4qb/a/qtoKAgZntMtn79er355pu688475erqanYcp1NVVaU5c+bo0UcftZsjZ5xVbm6uVq1apXfffVevvPKK/v3vf6uqqkoXX3yxSkpKzI7nVEaNGqUVK1Zo7ty5CgoKUq9evZSZmalVq1bJ09PT7HhOrbi4WJJavKcHBQVJUru+p1Pe2sFvp78PMwzjiONoH7m5uZo8ebLi4+NZsGCSv//97woLC9O0adPMjuL0bDabKioqtHz5ck2aNEmXXXaZPvnkE5WXl+vVV181O55T+eGHH3TjjTdq+vTpWr16tf7973/L29tbl1xyCQsW7MTR3rvb8z3drd1+JycVFBTU1NZ/q6SkpMXUK9pHaWmpLrnkEnl7e+uTTz6Ru7u72ZGczr59+/T0009rxYoVTW9IFRUVTX+tqKiQr6+vmRGdSufOnRUWFqaBAwc2jYWHhysmJkY7duwwMZnzueOOOzRmzBg988wzTWPnnXeeIiIi9Prrr2vOnDnmhXNyh2fY/vc9/fDnh7/eHph5a2OxsbEt7oPX1tYqMzOT8maCmpoaXXHFFcrLy9MXX3yhLl26mB3JKe3Zs0d1dXW69NJLFRQUpKCgIF1++eWSpNGjRyshIcHkhM7laH8WGYZx3Ie4cXqlpKRo6NChzcZCQkLUrVs3ZWZmmhMKkqTo6Gh5eHi0eE9PSUmRdPT/jtoC/1W2sQkTJmj16tUqLCxsGluxYoVqa2s1YcIEE5M5n4aGBl177bXasmWLvvjiC0VFRZkdyWkNHTpUa9eubfbxz3/+U5L0yiuvmLLppTO77LLLlJeXp+3btzeNHThwQGlpaYqLizMxmfOJiorShg0bmo3l5ubqwIED6tmzpzmhIKlxseGYMWP04YcfNht///33FR4ermHDhrVbFovB2uM2VVJSokGDBqlnz5568MEHlZ+frzlz5mjcuHFavHix2fGcyqxZs/Tqq6/qiSee0Pnnn9/sawMGDOCheZN9/fXXGj16tNatW6cRI0aYHcepWK1WxcfHq7y8XH//+9/l4eGhRx55RPn5+UpPT5ePj4/ZEZ3GCy+8oMTERN12222aOHGiSkpKtGDBAu3bt087duxg4+Q2VFVV1bSF14svvqjMzEwtXLhQknTBBRcoJCREP/74o0aNGqVp06Zp6tSp+v777/XQQw9p0aJFmjlzZvuFbbcd5ZxYenq6MXbsWMPb29sIDg42EhMTjaqqKrNjOZ2oqChD0hE/1q5da3Y8p7d27Vo26TVRXl6eccMNNxgBAQGGt7e3cckllxhpaWlmx3I6NpvNWLRokREXF2f4+PgYYWFhxuWXX25s3brV7Ggd3p49e07oPeKzzz4z4uLiDA8PD6N3797GCy+80O5ZmXkDAABwIDzzBgAA4EAobwAAAA6E8gYAAOBAKG8AAAAOhPIGAADgQChvAAAADoTyBgAA4EAobwAAAA6E8gYAp+ijjz7iPFYA7YbyBgCniPIGoD1R3gAAABwI5Q0ATsG0adP09ttva8eOHbJYLLJYLJo2bZrZsQB0YG5mBwAAR/bggw+qoKBAaWlpevfddyVJISEhJqcC0JFR3gDgFERHRyskJET79u3TWWedZXYcAE6A26YAAAAOhPIGAADgQChvAAAADoTyBgCnyMPDQzU1NWbHAOAkKG8AcIpiY2O1d+9evf/++1q/fr327t1rdiQAHZjFMAzD7BAA4MjKyso0a9YsffnllyosLNTvf/97vfXWW2bHAtBBUd4AAAAcCLdNAQAAHAjlDQAAwIFQ3gAAABwI5Q0AAMCBUN4AAAAcCOUNAADAgVDeAAAAHAjlDQAAwIFQ3gAAABwI5Q0AAMCBUN4AAAAcCOUNAADAgVDeAAAAHMj/A4+QekMa3dGiAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0,10, 100)\n", "fig, ax = plt.subplots(1,1)\n", "ax.plot(t, forward_model(1, 1, t));\n", "ax.set_xlabel(\"t\")\n", "ax.set_ylabel(\"BOD\");" ] }, { "cell_type": "markdown", "id": "0495aed1", "metadata": {}, "source": [ "For this problem, as noise $\\mathcal{E}$ is Gaussian and additive, the likelihood function $\\pi(\\mathbf{y}|\\boldsymbol{\\theta})$, can be decomposed for each time step as:\n", "$$\\pi(\\mathbf{y}|\\boldsymbol{\\theta}) = \\prod_{t=1}^{5} \\pi(y_t|\\boldsymbol{\\theta}), $$\n", "where \n", "$$\\pi(\\mathbf{y}_t|\\boldsymbol{\\theta})=\\frac{1}{\\sqrt{0.002.\\pi}}\\exp \\left(-\\frac{1}{0.002} \\left(y_t - \\mathcal{B}(t)\\right)^2 \\right), t \\in \\{1,...,5\\}.$$" ] }, { "cell_type": "markdown", "id": "a8f37772", "metadata": {}, "source": [ "Likelihood function and its gradient with respect to parameters:" ] }, { "cell_type": "code", "execution_count": 4, "id": "cd7907fe", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.798902Z", "iopub.status.busy": "2024-03-21T17:44:05.798475Z", "iopub.status.idle": "2024-03-21T17:44:05.802448Z", "shell.execute_reply": "2024-03-21T17:44:05.801968Z" } }, "outputs": [], "source": [ "def log_likelihood(std_noise,t,yobs,p1,p2):\n", " y = forward_model(p1,p2,t)\n", " log_lkl = -np.log(np.sqrt(2*np.pi)*std_noise)-0.5*((y-yobs)/std_noise)**2\n", " return log_lkl\n", "\n", "def grad_x_log_likelihood(std_noise,t,yobs,p1,p2):\n", " y = forward_model(p1,p2,t)\n", " dydx = grad_x_forward_model(p1,p2,t)\n", " grad_x_lkl = (-1/std_noise**2)*(y - yobs)*dydx\n", " return grad_x_lkl" ] }, { "cell_type": "markdown", "id": "a9be4c61", "metadata": {}, "source": [ "We can then define the unnormalized posterior and its gradient with respect to parameters:" ] }, { "cell_type": "code", "execution_count": 5, "id": "ea1626e8", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.804573Z", "iopub.status.busy": "2024-03-21T17:44:05.804201Z", "iopub.status.idle": "2024-03-21T17:44:05.808941Z", "shell.execute_reply": "2024-03-21T17:44:05.808453Z" } }, "outputs": [], "source": [ "def log_posterior(std_noise,std_prior1,std_prior2,list_t,list_yobs,p1,p2):\n", " log_prior1 = -np.log(np.sqrt(2*np.pi)*std_prior1)-0.5*(p1/std_prior1)**2\n", " log_prior2 = -np.log(np.sqrt(2*np.pi)*std_prior2)-0.5*(p2/std_prior2)**2\n", " log_posterior = log_prior1+log_prior2\n", " for k,t in enumerate(list_t):\n", " log_posterior += log_likelihood(std_noise,t,list_yobs[k],p1,p2)\n", " return log_posterior\n", "\n", "def grad_x_log_posterior(std_noise,std_prior1,std_prior2,list_t,list_yobs,p1,p2):\n", " grad_x1_prior = -(1/std_prior1**2)*(p1)\n", " grad_x2_prior = -(1/std_prior2**2)*(p2)\n", " grad_x_prior = np.vstack((grad_x1_prior,grad_x2_prior))\n", " grad_x_log_posterior = grad_x_prior \n", " for k,t in enumerate(list_t):\n", " grad_x_log_posterior += grad_x_log_likelihood(std_noise,t,list_yobs[k],p1,p2)\n", " return grad_x_log_posterior" ] }, { "cell_type": "markdown", "id": "c2d983a7", "metadata": {}, "source": [ "#### Observations\n", "\n", "We consider the following realization of observation $\\mathbf{y}$:" ] }, { "cell_type": "code", "execution_count": 6, "id": "00283154", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.811012Z", "iopub.status.busy": "2024-03-21T17:44:05.810653Z", "iopub.status.idle": "2024-03-21T17:44:05.814074Z", "shell.execute_reply": "2024-03-21T17:44:05.813596Z" } }, "outputs": [], "source": [ "list_t = np.array([1,2,3,4,5])\n", "list_yobs = np.array([0.18,0.32,0.42,0.49,0.54])\n", "\n", "std_noise = np.sqrt(1e-3)\n", "std_prior1 = 1\n", "std_prior2 = 1" ] }, { "cell_type": "markdown", "id": "e2b5b987", "metadata": {}, "source": [ "#### Visualization of the **unnormalized** posterior density" ] }, { "cell_type": "code", "execution_count": 7, "id": "63e1d1ff", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.816246Z", "iopub.status.busy": "2024-03-21T17:44:05.815862Z", "iopub.status.idle": "2024-03-21T17:44:05.972624Z", "shell.execute_reply": "2024-03-21T17:44:05.972115Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Ngrid = 100\n", "x = np.linspace(-0.5, 1.25, Ngrid)\n", "y = np.linspace(-0.5, 2.5, Ngrid)\n", "X, Y = np.meshgrid(x, y)\n", "\n", "Z = log_posterior(std_noise,std_prior1,std_prior2,list_t,list_yobs,X.flatten(),Y.flatten())\n", "Z = np.exp(Z.reshape(Ngrid,Ngrid))\n", "\n", "\n", "fig, ax = plt.subplots()\n", "CS = ax.contour(X, Y, Z)\n", "ax.set_xlabel(r'$\\theta_1$')\n", "ax.set_ylabel(r'$\\theta_2$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0ca5fdab", "metadata": {}, "source": [ "Target density for the map from density is non-Gaussian which mean that a non linear map will be required to achieve good approximation." ] }, { "cell_type": "markdown", "id": "168ec15c", "metadata": {}, "source": [ "## Map computation" ] }, { "cell_type": "markdown", "id": "e653a092", "metadata": {}, "source": [ "After the definition of the log-posterior and gradient, the construction of the desired map $T$ to characterize the posterior density result in a \"classic\" map from unnomarlized computation." ] }, { "cell_type": "markdown", "id": "f52a4881", "metadata": {}, "source": [ "### Definition of the objective function:\n", "\n", "Knowing the closed form of unnormalized posterior $\\bar{\\pi}(\\boldsymbol{\\theta} |\\mathbf{y})= \\pi(\\mathbf{y}|\\boldsymbol{\\theta})\\pi(\\boldsymbol{\\theta})$, the objective is to find a map-induced density $\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x})$ that is a good approximation to the posterior $\\pi(\\boldsymbol{\\theta} |\\mathbf{y})$.\n", "\n", "In order to characterize this posterior density, one method is to build a transport map.\n", "\n", "For the map from unnormalized density estimation, the objective function on parameter $\\mathbf{w}$ reads:\n", "\n", "$$\n", "J(\\mathbf{w}) = - \\frac{1}{N}\\sum_{i=1}^N \\left( \\log\\pi\\left(T(\\mathbf{z}^i;\\mathbf{w})\\right) + \\log \\text{det }\\nabla_\\mathbf{z} T(\\mathbf{z}^i;\\mathbf{w})\\right), \\,\\,\\, \\mathbf{z}^i \\sim \\mathcal{N}(\\mathbf{0},\\mathbf{I}_d),\n", "$$\n", "\n", "where $T$ is the transport map pushing forward the standard normal $\\mathcal{N}(\\mathbf{0},\\mathbf{I}_d)$ to the target density $\\pi(\\mathbf{x})$, which will be the the posterior density. The gradient of this objective function reads:\n", "\n", "$$\n", "\\nabla_\\mathbf{w} J(\\mathbf{w}) = - \\frac{1}{N}\\sum_{i=1}^N \\left( \\nabla_\\mathbf{w} T(\\mathbf{z}^i;\\mathbf{w}).\\nabla_\\mathbf{x}\\log\\pi\\left(T(\\mathbf{z}^i;\\mathbf{w})\\right) + \\nabla_{\\mathbf{w}}\\log \\text{det }\\nabla_\\mathbf{z} T(\\mathbf{z}^i;\\mathbf{w})\\right), \\,\\,\\, \\mathbf{z}^i \\sim \\mathcal{N}(\\mathbf{0},\\mathbf{I}_d).\n", "$$" ] }, { "cell_type": "code", "execution_count": 8, "id": "6c240480", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.974929Z", "iopub.status.busy": "2024-03-21T17:44:05.974479Z", "iopub.status.idle": "2024-03-21T17:44:05.978383Z", "shell.execute_reply": "2024-03-21T17:44:05.977918Z" } }, "outputs": [], "source": [ "def grad_x_log_target(x):\n", " out = grad_x_log_posterior(std_noise,std_prior1,std_prior2,list_t,list_yobs,x[0,:],x[1,:])\n", " return out\n", "\n", "def log_target(x):\n", " out = log_posterior(std_noise,std_prior1,std_prior2,list_t,list_yobs,x[0,:],x[1,:])\n", " return out\n", "\n", "def obj(coeffs, tri_map,x):\n", " num_points = x.shape[1]\n", " tri_map.SetCoeffs(coeffs)\n", " map_of_x = tri_map.Evaluate(x)\n", " rho_of_map_of_x = log_target(map_of_x)\n", " log_det = tri_map.LogDeterminant(x)\n", " return -np.sum(rho_of_map_of_x + log_det)/num_points\n", "\n", "def grad_obj(coeffs, tri_map, x):\n", " num_points = x.shape[1]\n", " tri_map.SetCoeffs(coeffs)\n", " map_of_x = tri_map.Evaluate(x)\n", " sensi = grad_x_log_target(map_of_x)\n", " grad_rho_of_map_of_x = tri_map.CoeffGrad(x, sensi) \n", " grad_log_det = tri_map.LogDeterminantCoeffGrad(x)\n", " return -np.sum(grad_rho_of_map_of_x + grad_log_det, 1)/num_points" ] }, { "cell_type": "code", "execution_count": 9, "id": "9864e459", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.980290Z", "iopub.status.busy": "2024-03-21T17:44:05.980030Z", "iopub.status.idle": "2024-03-21T17:44:05.982755Z", "shell.execute_reply": "2024-03-21T17:44:05.982268Z" } }, "outputs": [], "source": [ "#Draw reference samples to define objective\n", "N=10000\n", "z = np.random.randn(2,N)" ] }, { "cell_type": "markdown", "id": "8eda4c47", "metadata": {}, "source": [ "#### Map parametrization" ] }, { "cell_type": "markdown", "id": "bc036352", "metadata": {}, "source": [ "We use the MParT function `CreateTriangular` to directly create a transport map object of dimension with given total order parameterization.\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "65d1418a", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.984713Z", "iopub.status.busy": "2024-03-21T17:44:05.984351Z", "iopub.status.idle": "2024-03-21T17:44:05.993277Z", "shell.execute_reply": "2024-03-21T17:44:05.992832Z" } }, "outputs": [], "source": [ "# Create transport map\n", "opts = mt.MapOptions()\n", "total_order = 3\n", "tri_map = mt.CreateTriangular(2,2,total_order,opts)" ] }, { "cell_type": "markdown", "id": "6dae523a", "metadata": {}, "source": [ "#### Optimization" ] }, { "cell_type": "code", "execution_count": 11, "id": "75007cc9", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:05.995808Z", "iopub.status.busy": "2024-03-21T17:44:05.995537Z", "iopub.status.idle": "2024-03-21T17:44:07.491169Z", "shell.execute_reply": "2024-03-21T17:44:07.490690Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -6.250160\n", " Iterations: 29\n", " Function evaluations: 36\n", " Gradient evaluations: 36\n" ] } ], "source": [ "options={'gtol': 1e-2, 'disp': True}\n", "res = scipy.optimize.minimize(obj, tri_map.CoeffMap(), args=(tri_map, z), jac=grad_obj, method='BFGS', options=options)" ] }, { "cell_type": "markdown", "id": "2e957d85", "metadata": {}, "source": [ "## Accuracy checks" ] }, { "cell_type": "markdown", "id": "45755dff", "metadata": {}, "source": [ "### Comparing density contours " ] }, { "cell_type": "markdown", "id": "6e739522", "metadata": {}, "source": [ "Comparison between contours of the posterior $\\pi(\\boldsymbol{\\theta}|\\mathbf{y})$ and conoturs of pushforward density $T_\\sharp \\eta$." ] }, { "cell_type": "code", "execution_count": 12, "id": "5185a544", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:07.495656Z", "iopub.status.busy": "2024-03-21T17:44:07.494285Z", "iopub.status.idle": "2024-03-21T17:44:07.500498Z", "shell.execute_reply": "2024-03-21T17:44:07.500072Z" } }, "outputs": [], "source": [ "# Pushforward distribution\n", "def push_forward_pdf(tri_map,ref,x):\n", " xinv = tri_map.Inverse(x,x)\n", " log_det_grad_x_inverse = - tri_map.LogDeterminant(xinv)\n", " log_pdf = ref.logpdf(xinv.T)+log_det_grad_x_inverse\n", " return np.exp(log_pdf)" ] }, { "cell_type": "code", "execution_count": 13, "id": "53ffa1b3", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:07.504292Z", "iopub.status.busy": "2024-03-21T17:44:07.503002Z", "iopub.status.idle": "2024-03-21T17:44:08.101337Z", "shell.execute_reply": "2024-03-21T17:44:08.100956Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reference distribution\n", "ref = multivariate_normal(np.zeros(2),np.eye(2))\n", "\n", "xx_eval = np.vstack((X.flatten(),Y.flatten()))\n", "Z2 = push_forward_pdf(tri_map,ref,xx_eval)\n", "Z2 = Z2.reshape(Ngrid,Ngrid)\n", "\n", "fig, ax = plt.subplots()\n", "CS1 = ax.contour(X, Y, Z)\n", "CS2 = ax.contour(X, Y, Z2,linestyles='dashed')\n", "ax.set_xlabel(r'$\\theta_1$')\n", "ax.set_ylabel(r'$\\theta_2$')\n", "h1,_ = CS1.legend_elements()\n", "h2,_ = CS2.legend_elements()\n", "ax.legend([h1[0], h2[0]], ['Unnormilzed posterior', 'TM approximation'])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "547bcb38", "metadata": {}, "source": [ "### Variance diagnostic\n", "\n", "A commonly used accuracy check when facing computation maps from density is the so-called variance diagnostic defined as:\n", "\n", "$$ \\epsilon_\\sigma = \\frac{1}{2} \\mathbb{V}\\text{ar}_\\rho \\left[ \\log \\frac{\\rho}{T^\\sharp \\bar{\\pi}} \\right] $$\n", "\n", "This diagnostic is asymptotically equivalent to the minimized KL divergence $D_{KL}(\\eta || T^\\sharp \\pi)$ and should converge to zero when the computed map converge to the theoritical true map." ] }, { "cell_type": "code", "execution_count": 14, "id": "cea3d0cf", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:08.103460Z", "iopub.status.busy": "2024-03-21T17:44:08.103042Z", "iopub.status.idle": "2024-03-21T17:44:08.106098Z", "shell.execute_reply": "2024-03-21T17:44:08.105630Z" } }, "outputs": [], "source": [ "def variance_diagnostic(tri_map,ref,target_logpdf,x):\n", " ref_logpdf = ref.logpdf(x.T)\n", " y = tri_map.Evaluate(x)\n", " pullback_logpdf = target_logpdf(y) + tri_map.LogDeterminant(x)\n", " diff = ref_logpdf - pullback_logpdf\n", " expect = np.mean(diff)\n", " var = 0.5*np.mean((diff-expect)**2)\n", " return var" ] }, { "cell_type": "code", "execution_count": 15, "id": "8b637898", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:08.108100Z", "iopub.status.busy": "2024-03-21T17:44:08.107709Z", "iopub.status.idle": "2024-03-21T17:44:08.127646Z", "shell.execute_reply": "2024-03-21T17:44:08.127188Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Variance diagnostic: 4.95E-02\n", "==================\n" ] } ], "source": [ "# Reference distribution\n", "ref_distribution = multivariate_normal(np.zeros(2),np.eye(2));\n", "\n", "test_z = np.random.randn(2,10000)\n", "# Compute variance diagnostic\n", "var_diag = variance_diagnostic(tri_map,ref,log_target,test_z)\n", "\n", "# Print final coeffs and objective\n", "print('==================')\n", "print('Variance diagnostic: {:.2E}'.format(var_diag))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "4459771b", "metadata": {}, "source": [ "### Drawing samples from approximate posterior\n", "\n", "Once the transport map from reference to unnormalized posterior is estimated it can be used to sample from the posterior to characterize the Bayesian inference solution. " ] }, { "cell_type": "code", "execution_count": 16, "id": "2c9dabc5", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:08.129897Z", "iopub.status.busy": "2024-03-21T17:44:08.129670Z", "iopub.status.idle": "2024-03-21T17:44:08.704687Z", "shell.execute_reply": "2024-03-21T17:44:08.704191Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Znew = np.random.randn(2,5000)\n", "colors = np.arctan2(Znew[1,:],Znew[0,:])\n", "\n", "Xpost = tri_map.Evaluate(Znew)\n", "\n", "fig,axs = plt.subplots(ncols=2,figsize=(12,5))\n", "axs[0].scatter(Xpost[0,:],Xpost[1,:], c=colors, alpha=0.2)\n", "axs[0].set_aspect('equal', 'box')\n", "axs[0].set_xlabel(r'$\\theta_1$')\n", "axs[0].set_ylabel(r'$\\theta_2$')\n", "axs[0].set_title('Approximate Posterior Samples')\n", "\n", "axs[1].scatter(Znew[0,:],Znew[1,:], c=colors, alpha=0.2)\n", "axs[1].set_aspect('equal', 'box')\n", "axs[1].set_xlabel(r'$z_1$')\n", "axs[1].set_ylabel(r'$z_2$')\n", "axs[1].set_title('Reference Samples')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b758bef6", "metadata": {}, "source": [ "Samples can then be used to compute quantity of interest with respect to parameters $\\boldsymbol{\\theta}$. For example the sample mean:" ] }, { "cell_type": "code", "execution_count": 17, "id": "f4220821", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:08.706705Z", "iopub.status.busy": "2024-03-21T17:44:08.706503Z", "iopub.status.idle": "2024-03-21T17:44:08.710411Z", "shell.execute_reply": "2024-03-21T17:44:08.710057Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean a posteriori: [0.03338503 0.92169768]\n" ] } ], "source": [ "X_mean = np.mean(Xpost,1)\n", "print('Mean a posteriori: '+str(X_mean))" ] }, { "cell_type": "markdown", "id": "969ae8d7", "metadata": {}, "source": [ "Samples can also be used to study parameters marginas. Here are the one-dimensional marginals histograms:" ] }, { "cell_type": "code", "execution_count": 18, "id": "f3668bf5", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:08.712184Z", "iopub.status.busy": "2024-03-21T17:44:08.712017Z", "iopub.status.idle": "2024-03-21T17:44:08.964915Z", "shell.execute_reply": "2024-03-21T17:44:08.964522Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2,figsize=(12,5))\n", "ax[0].hist(Xpost[0,:], 50, alpha=0.5, density=True)\n", "ax[0].set_xlabel(r'$\\theta_1$')\n", "ax[0].set_ylabel(r'$\\tilde{\\pi}(\\theta_1)$')\n", "ax[1].hist(Xpost[1,:], 50, alpha=0.5, density=True)\n", "ax[1].set_xlabel(r'$\\theta_2$')\n", "ax[1].set_ylabel(r'$\\tilde{\\pi}(\\theta_2)$')\n", "plt.show()" ] } ], "metadata": { "jupytext": { "formats": "ipynb,py" }, "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }