{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimal Transport between Gaussian Mixture Models - Simple experiments\n", "\n", "This notebook presents simple experiments using a transportation distance between GMM defined by restricting the set of possible coupling measures to Gaussian mixtures. In the following, we denote by $GMM_{d}(\\infty)$ the set of probability distributions which can be written as finite Gaussian mixture models on $\\mathbb{R}^d$.\n", "\n", "Let $\\mu_0$ and $\\mu_1$ be two Gaussian mixtures on $\\mathbb{R}^d$, we define \n", " $$GW_2^2(\\mu_0,\\mu_1) := \\inf_{\\gamma \\in \\Pi(\\mu_0,\\mu_1) \\cap GMM_{2d}(\\infty)} \\int_{\\mathbb{R}^d\\times\\mathbb{R}^d} \\|y_0-y_1\\|^2d\\gamma(y_0,y_1).$$\n", "The problem is well defined since $\\Pi(\\mu_0,\\mu_1) \\cap GMM_{2d}(\\infty)$ contains at least the product measure $\\mu_0 \\otimes \\mu_1$.\n", "We can show that $GW_2$ defines a distance, and this distance is obvisouly larger than the Wasserstein distance since it has the same definition with a smaller set of constraints. \n", "\n", "Moreover, if $\\mu_0 =\\sum_{k=1}^{K_0} \\pi_0^k \\mu_0^k$ and $\\mu_1= \\sum_{k=1}^{K_1} \\pi_1^k \\mu_1^k$, it can be shown that\n", " $$\n", " GW_2^2(\\mu_0,\\mu_1) = \\min_{w \\in \\Pi(\\pi_0,\\pi_1)} \\sum_{k,l}w_{kl} W_2^2(\\mu_0^k,\\mu_1^l), $$\n", "where $\\Pi(\\pi_0,\\pi_1)$ is the subset of the discrete probability distributions with marginals $\\pi_0$ and $\\pi_1$, *i.e.*\n", "\n", "$$\\Pi(\\pi_0,\\pi_1) = \\{w \\in \\mathcal{M}_{K_0,K_1}(\\mathbb{R}^+);\\;\\forall k,\\sum_j w_{kj} = \\pi_0^k \\text{ and }\\forall j,\\;\\sum_k w_{kj} = \\pi_1^j\\;\\}.$$\n", "\n", "See the following references for more information:\n", "\n", "[Delon, Desolneux, *A Wasserstein-type distance in the space of Gaussian Mixture Models*, 2019.](https://hal.archives-ouvertes.fr/hal-02178204)\n", "\n", "[Chen, Georgiou, Tannenbaum, *Optimal transport for Gaussian mixture models*, 23rd International Symposium on Mathematical Theory of Networks and Systems, 2018](http://mtns2018.ust.hk/media/files/0122.pdf)\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Author: Julie Delon \n", "\n", "# import libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.linalg as spl\n", "import scipy.stats as sps\n", "%matplotlib inline\n", "\n", "# Optimal Transport library https://github.com/rflamary/POT\n", "import ot \n", "import ot.plot\n", "\n", "# for interactive widgets\n", "from ipywidgets import interact, interactive, fixed, interact_manual" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We import the functions that will be used in this notebook. This functions are contained in the file gmmot.py available with this notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from gmmot import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimal Transport between Gaussian Mixture Models in 1D\n", "\n", "We start with simple 1D experiments, with \n", "$$\\mu_0 = 0.3 \\mathcal{N}(0.2,0.03)+ 0.7\\mathcal{N}(0.4,0.04),$$\n", "$$\\mu_1 = 0.6 \\mathcal{N}(0.6,0.06)+ 0.4\\mathcal{N}(0.8,0.07).$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZGRd9J1KyNTArjYu+4+yMi74TGarZF/2SEmjf3kXfcdK46DuR8fHHsHlzdkW/qAj2289F33HSBBJ9ERkjIstFpFJELm9ke0cRuS+1/UURKcvY3k9EPhGRH4RjtpMPZDtdM02ic/W3bIG334ZFi+CZZ2DduqgtchJOs6IvIsXALcApwGBgoogMzmg2GfhAVQcBNwLXZ2y/EfhH2811MlGFbduitqJ1uOg3wzvvwODBcMABcOSR8KUv2ecXX4zaMifBBPH0RwCVqlqlqluB6cC4jDbjgDtT72cAo0QsCU9EvgZUAUvCMdlJ8+mncOyxMHZs1Ja0Dhf93bB2LYwaZSPLbrsN/v53ePhh6NYNTjgBZs+O2kInobQL0KYPsKbB52rgC021UdU6EfkIKBGRT4EfAycBTYZ2ROQi4CKAfv36BTa+kFGFiy6C55+3zytWwMCB0drUUtJCvN9+2T1P797w4YfWf7DHHtk9VyisWwcnnmjV6ObOhZEjd2wbNgxOOQVOOw3uvhsmTIjOTieRBPH0Gxs2owHbXAXcqKqf7O4Eqnqbqg5T1WE9evQIYJJz443wl7/AxRfbwKZ7743aopazdq05rnvumd3zpJ8k0hU9Y8327Sboq1bBo4/uLPhgtaKfegqOOgomT4bq6iisdBJMENGvBvo2+FwKZD4sf9ZGRNoB3YBN2BPBb0RkFXAp8BMRmdJGmwueOXPghz+E00+Hm2+G446zG4Bm3opjTk1N9kM7kLBc/QcegIUL4dZbLYbfGN26wV13QV0d/OQnubXPSTxBRH8hUC4i/UWkAzABmJnRZiZwbur9GcATahyrqmWqWgb8HviVqt4cku0Fyw9/aH17d9xhKYmTJsFbb8HLL0dtWcvIdo5+msSIfn09/OIXMGQInH327tv27w+XXWYhnoULc2Kekx80K/qqWgdMAWYDS4H7VXWJiFwtIukuxKlYDL8SuAzYJa3TCYd//QveeAPOPBO6dLF1Z5wBHTrAPfdEa1tLcdHP4N57YdkyE/7i4ubbX3GFzQn5ve8l7zHPiYxAefqqOktVD1DVgap6bWrdlao6M/W+VlXHq+ogVR2hqlWNHOMXqvrbcM0vPBYvtrDv8OE71u2zD5x6Kkyfbs5iEsjFaNw0e+8NnTpZOCm2bNsGV10Fhx8O3/hGsH26doVrrrHe/AceyK59Tt7gI3ITRvpJftiwnddPmmTlg594Ivc2tYaNG03nciH6IlbULdaif9ddloJ19dUWswvKBRfAYYeZ15+UO74TKS76CaOiAkpLLYmjIaedZo5fUkI8ucrRTxNr0a+vN499+HD46ldbtm9xMfzsZ1BVBY89lh37nLzCRT9hLFy4q5cPFr447bTkjNlx0W/Ak09aiub3v9+6iQXGjbPBDn/8Y+imOfmHi36C+PBDK8PSMJ7fkKFDLcSzaVNu7WoNadHPZi39hpSWmujHsr/z7rstDbO1Q6vbt4cLL4R//MM8fsfZDS76CWLRIls25umDZfoBLElAwYu06GeGqbJFnz5Wu2zjxtycLzCffAIPPgjjx0Pnzq0/zoUXWl/ArbeGZ5uTl7joJ4imOnHTJE30S0qgY8fcnC/9RBG7EM/f/mZ5uN/6VtuOU1pqYZ7bb4fa2nBsc/ISF/0EUVEBAwbAvvs2vr1fP8vdT4Lo19SYTuWK9LliV7Xg7ruhrAyOPrrtx7r4YivQNmNG24/l5C0u+gli4cKm4/lgfYCDBydD9Nesya3ox9LTr6mBefPgnHNalqbZFCecYEO1vUPX2Q0u+glh/XpYvbrp0E6aIUPgzTdzY1NbqK7Orej36mW6GitP/557rGf5nHPCOV5RkZVenT8fli8P55hO3uGinxAqKmy5O08fTPTffz+GHZYNqK21m1guRb99e/jc52Lk6ataaOeoo6C8PLzjTpxoj3zTpoV3TCevcNFPCBUV9ls+4ojdt0tCZ246cyeXog8xy9VftsyKKE2aFO5xe/eG44+3Oj6xzE91osZFPyEsXAgHHQR77bX7dkkQ/XSIJdeiX1oao/DOww/bclzmJHQhcPbZNqAjaWVXnZzgop8QXnmleS8fTNi6dnXRb4xYefoPP2yj6fr2bb5tS/nGN6zsahJn1nGyjot+Avj0U8t2Oeig5tsmIYMnLfq5Go2bpk8fG9X8r3/l9ry7sGEDvPBCy+vsBCWJZVednOGinwDSI+sHDQrWfsiQ+It+t27Nh6rCJv1kEbm3P2uW1cfO5oz2Z59t80M+/XT2zuEkEhf9BPD227ZsieivX2+vOJLrdM00scnVf/hhK5AWJF7XWk47zUbqeYjHycBFPwFUVtqyJaIP8fX2oxb9SDtzt261UqinnRbOgKym6NzZYvszZljRIcdJ4aKfACoroXt3mwEqCIMH29JFf2di4ek//TT885/ZDe2kmTABPvoI5s7N/rmcxOCinwDefju4lw8mbnHN4Nm2zco/RyH6XbpYX0Kkoj9zpnnho0Zl/1yjRpmncP/92T+XkxgCib6IjBGR5SJSKSK7THouIh1F5L7U9hdFpCy1foSIvJJ6vSoiXw/X/MKgsrJloi8S387cd9+1MUNRiD7YDTGy8I6qxfNPPLFtZZSD0qEDfP3r8NBDHuJxPqNZ0ReRYuAW4BRgMDBRRAZnNJsMfKCqg4AbgetT698AhqnqUGAMcKuItAvL+EKgttbSNVs6Uj+uNXiiytFPk55MJRLefNMKKGUrVbMxxo+Hjz/2EI/zGUE8/RFApapWqepWYDqQOYxwHHBn6v0MYJSIiKpuVtW61PpOgI8LbyErV5qD2BJPH+wmsWGDhXTjRNSiH+kArTlzbDl6dO7O6SEeJ4Mgot8HWNPgc3VqXaNtUiL/EVACICJfEJElwOvAfzS4CXyGiFwkIhUiUrE+rnmGEdHSdM00AwfaMm6z58VB9N97D+p2+RbmgDlzbIRdv365O2eHDvC1r3mIx/mMIKLf2EzNmR57k21U9UVVHQIMB64QkU67NFS9TVWHqeqwHj16BDCpcGhpumaaAQNsuWJFuPa0lepq2HNP61CNgtJSGxf13ns5PnFtrWXunHRSjk8MnHmmh3iczwgi+tVAwwIhpcDaptqkYvbdgJ2m51bVpcC/gENaa2whUllpM2U1NVtWU8TZ0y8ttc7mKIgsV/+FF6yexskn5/jEeIjH2Ykgor8QKBeR/iLSAZgAzMxoMxM4N/X+DOAJVdXUPu0ARGR/4EBgVSiWFwgtTddM07Wr5fbH0dOPKrQDEZZimDPHivp/+cs5PjEe4nF2olnRT8XgpwCzgaXA/aq6RESuFpH0CJOpQImIVAKXAem0zmOAV0XkFeBvwLdVdUPYF5HPtDRdsyEDBsTX04+KyAZozZkDX/yiDRaIgnSIZ/bsaM7vxIZA6ZOqOguYlbHuygbva4Hxjex3N3B3G20sWLZsgXfegXPPbb5tYwwcCAsWhGtTW6ivtwlUohT97t3N8c1peGfdOli8GK69NocnzeDEEy1GOH16bkYDO7HFR+TGmFWrrNOxLZ7+O+/YKNg48P77JvxRir5IBAO05s2zZRTx/DTt28MZZ1iIJ/La0k6UuOjHmNama6YZONBE9p13wrOpLUSdrpmmrMzGSOWMOXOgpAQ+//kcnrQRJkyAzZvh0UejtcOJFBf9GNPadM006QyeuHTmxkn0V63K0clUTfRPPBGKi3N00iY47jjo1ctCPE7B4qIfYyorLdOupKR1+6dz9ePSmRsn0V+7NkeJLEuWWMGhKPLzMykutg7dWbPiN1TbyRku+jEmna7Z2pz23r2hY8d4efodO7b+JhYWZWW2zEnYKx3Pj4Pog4V4tmyx2L5TkLjox5i2pGuCzdExYEB8RH/NGutEjWpgVpq06OckxDNvnhVCymXphd1x1FGw//5w331RW+JEhIt+TNm2zTob2yL6EK9c/VWrdghulORM9Ldts9ILJ56Y5RO1ABE46yzrZ9jgQ2YKERf9mPLOO5Z5k+6MbS0DB5qnrzGob7pyJfTvH7UVFvZq1y4Hov/SS/DJJ/ESfYBJk6zi3LRpUVviRICLfkxJh2TSnbGtZcAA052onbrNmy1Pv63XEwbt2kHfvjkQ/XnzzLOOovTC7jjsMDjySJg6NR7egJNTXPRjSlr0w/D0Gx4vKlautGUcPH3IUdrmvHkmri2tlpcLJk+GV1+FRYuitsTJMS76MaWqyjJd9tuvbceJm+jHwdOHHIj+J59YDYy4hXbSTJwInTqZt+8UFC76MWXFChPIojb+h9KdllF35qbPHydPP6u5+s88Y3HzuIr+3nvD6afDvfdayWenYHDRjylVVW0P7YDNv92nTzw8/T33hLjMkZP1XP1588yTPvroLJ0gBCZPtkFaf/1r1JbszIcfwmuv+c0oS7joxxDVHZ5+GKQzeKIknbkTdY5+mqynbc6bZ4LfaZeJ4uLDl75kX7KoQzyq8NhjVhBuwADYZx84/HDYay9bXnQRvPVWtDbmES76MWT9egsJh+HpQzxy9auq4hPagSyL/vvvw+uvxze0k6aoCM4/H558ckehp1yzcKHN7HXKKdYHMnw4XHedhZ0uv9zya6dNg0MPhf/6L68QGgIu+jEkLdBhif7AgRa/3rw5nOO1FFXz9OPSiQtZztV//HFbxl30AS64wMou33hjbs+7bRtceimMGAFvvAH/7//ZF/+++0zsJ06Ea66Bf/zD6pFMmAC/+hUMHgwVFbm1Nc9w0Y8hYeXop0mP6o3K29+wwZ5c4uTpZzVXPy6llIPQu7fN0jN1au5mi9+wAUaPhptugu9+177wU6bY7DaN0asX3HknPPusPZ2MGhWv2YEShot+DEmLflgiWV5uy3R9/lwTt3TNNFlJ21SFuXNNmKIupRyUH/3IPO/f/z7751qyxEI4L7xgQn7TTRa7D8Ixx1hWVI8eNiHNc89l19Y8xUU/hlRVWcZNWH2A6TBRVGHbuA3MSpMV0X/zTYulRTlLVkspL4fx4+GPf4QPPsjeeRYvts7jLVtMvL/1rZYfo29fq2fUuzeMGeMefysIJPoiMkZElotIpYhc3sj2jiJyX2r7iyJSllp/koi8LCKvp5YnhGt+frJiRXjxfLCU7O7doxP9uOXop8lKrv6cObaMSynloFxxBfzzn3DLLdk5/sKFcMIJlrf77LMWy28tffrAU0/B5z5nN6v160MzsxBoVvRFpBi4BTgFGAxMFJHBGc0mAx+o6iDgRuD61PoNwFdV9VDgXHyS9ECELfpgcf0oPf2ePe33Hieykqs/dy4ceGB8SikH5fDD4dRTLdwSdoZMemTyPvuYlx7Gl7tXL5gxwwR/0iSrTugEIoinPwKoVNUqVd0KTAfGZbQZB9yZej8DGCUioqqLVXVtav0SoJOIdAzD8Hxl82abaCns+Hd5eXQx/bila6YJPW1zyxbzQJPm5af5yU+sk/U3vwnvmC++aKGunj1N8MOsrf35z8PNN9uN9pe/DO+4eU4Q0e8DrGnwuTq1rtE2qloHfARkzo90OrBYVXMxSV1iSce/s+Hpr1kTzSDHuKVrpgld9J9/3v7ASYrnN+Too+Gb37TUyFdfbfvxXnpph+A/+aTF48Nm8mTLPrr66h2zlDm7JYjoNzaGMrMe627biMgQLOTz742eQOQiEakQkYr1BR6fC6u6ZibptM30TSVX1NVZ+CSOnn7oufpz59oB41ZKuSX8/veWbnr++ZbR01oqKkzwS0pM8LM1MbKIdUAfeCD8279ZbrCzW4KIfjXQ8BZdCqxtqo2ItAO6AZtSn0uBvwHfUtVGiwGo6m2qOkxVh/WIS3GWiEh3eobtGadFP9dx/epqE/44evrpXP3QboRz5sDIkcFTEONISYmJ6OLFcMMNrTvGvHnWabvPPtnz8Buyxx7w5z/bVHNXXpndc+UBQUR/IVAuIv1FpAMwAZiZ0WYm1lELcAbwhKqqiOwNPApcoarPh2V0PrNiBXTtGv7k4WnRz3VcP67pmmkGDgzpRrh+vQllUkM7DfnGN+DMM+Gqq+yaWsK0adYhvP/+lke///7ZsTGTY46Biy+2juiXXsrNORNKs6KfitFPAWYDS4H7VXWJiFwtImNTzaYCJSJSCVwGpNM6pwCDgJ+JyCvZKN0NAAAVwUlEQVSpV8/QryKPSBdaC7sw2b772ivXnn62nlzC4qCDYNmyECaQmjfPDpLUTtxMbr7ZBkEdf7x1wDZHXZ31BZx9tj3tPPuspVbmkuuus6yef/u3toWm8pxAefqqOktVD1DVgap6bWrdlao6M/W+VlXHq+ogVR2hqlWp9deo6p6qOrTBa132Lif5hFVSuTGiSNtcudIGpmYrpNtWDj7Y0tNratp4oEcftcEQw4aFYlfk9OhhHdO9e9vTywMPNN128WI46igriHbWWTB7tg0OyTXdullo6vXX4b//O/fnTwg+IjdG1NdnN9MlKtHv18/i53FkcGrEydKlbThIfb2VBh4zJjmlF4KQDtEMH25ifuaZcNddsG6d9X7fc48VbBs+3Dpv7r/fwjtRlpMeN85e11xjuc/OLrjox4jVq2HrVktEyAaDBlkmTdZmi2qEt9/O3pNLGBx8sC3ffLMNB3npJdi4Eb7ylVBsihX77mtZSf/5nxayOfdcGwnbv7+ld86YYeGUpUttdGwcJkz47W/th/STn0RtSSxx0Y8RaW/zoIOyc/xBg2D79tylbW7fbmI6ZEhuztcaeva0JJM2efqPPmoe/ujRodkVKzp3tg7SmhpLxfzVryzmv3ix1er505/sjxgXBg2yss133GHlH5ydiOlDd2GSFp609xk26WqblZXZu7E0ZPVqG9EfZ9EXsb93m0X/i1+Ml/Blg6IiOPJIe8Wdn/7UqnheeqmFqOLwBBIT3NOPEcuWmee5777ZOX6u0zaXLLHlIYfk5nytpU2iX1MDr7ySn6GdJNO1qz2RvPACTJ8etTWxwkU/Rixdmj0vHyz3v1u33HXmvvGGLePs6YP9zdevt7B8i5k1y5Yu+vHjvPNg6FCrIJrLjqyY46IfE1RN9LMZdhHJbQbPG2/YYMyuXXNzvtaSvtG2ytt/9FFLT4r7na0QKS62UcWrV2evZHQCcdGPCevWWZ9YNj19sLh+LkU/7qEdaIPob9lig7JOPdVjxnHlxBOtg/2aa7I7QUyCcNGPCcuW2TLboj9okKVYb92a3fPU1dk1JUH099/fElRaLPpPP2091R7aiTfXXw8ffmgjdh0X/biQ7cydNAceaKmU2e7MXbHCHOEkRD2Kiuzv0mLR//vfrdjXCT4hXKw5/HCbmvEPfwh5xpxk4qIfE5YutZmlsl2u4LDDbPnaa9k9T7oTNwmePrQig6e+Hv76V/Py99gja3Y5IZGeZOWnP43Wjhjgoh8T0p242Q4NH3SQlUTItugvWbIjBz4JHHyw9fcFLsf+3HPw/vtwxhlZtcsJib594ZJL4C9/CWeCmATjoh8Tli3LjUB26GDnyYWnP2BAcpzg9N9++fKAO8yYYTVmTj01azY5IXP55VYI7sc/jtqSSHHRjwGffGJTGebKKz7ssNyIflJCO9DCDJ7t2+HBB03wu3TJql1OiOyzj1UCnT0bHn88amsiw0U/BuQqcyfNYYdZUcRNm7Jz/C1b4K23ktGJm6a83NK6A4n+Cy9YBUcP7SSP73zHxlX86Ed28y5AXPRjQLYLrWWS7sx9/fXsHP+tt6yfM0mefocOVg00kOg/8AB07AinnZZ1u5yQ6dTJcvYXLYL77ovamkhw0Y8By5ZZ52q6Nk62yXYGT9Iyd9IccoiV0dkt6dDOmDHJngu3kJk0ydI4r7gCamujtibnuOjHgKVLTfDbt8/N+fbbzyZ5yqboFxfDAQdk5/jZYuRIKzv9/vu7abRggRVZGz8+Z3Y5IVNUZDX3V6+23P0Cw0U/BmS70FomItntzF2yxAS/Y8fsHD9bjBxpy/nzd9No2jQP7eQDJ55o/8Nrr7UaKAVEINEXkTEislxEKkXk8ka2dxSR+1LbXxSRstT6EhF5UkQ+EZGbwzU9P9i2LXf17Rty2GHmkdfXh3/sRYvg0EPDP262OfJIe9pqUvRra22KwK9/3cqVOsnmhhusjMYvfhG1JTmlWdEXkWLgFuAUYDAwUUQGZzSbDHygqoOAG4HrU+trgZ8BPwjN4jxjyRKrU5NrkTzsMNi82SZiD5PVqy399Jhjwj1uLujUCY44wpJzGuVvf7OiXZMn59QuJ0scdBBcfDHcdlsb58tMFkE8/RFApapWqepWYDowLqPNOODO1PsZwCgREVX9l6o+h4m/0whpr/Koo3J73mx15j7zjC2POy7c4+aKkSNtRsBGC9JNnQplZV5rJ5/4+c9trMX3v2/1zQuAIKLfB1jT4HN1al2jbVS1DvgIKAnDwHxnwQKbZ7qsLLfnHTzY+rPCFv2nn7ZBj0kM74DNelhb28hI/ZUrbUDP+efbH87JD7p3N+F/7DGYOTNqa3JCkG9vY9VgMm+JQdo0fQKRi0SkQkQq1q9fH3S3vGD+fPPyc12OvXNn62zNhqd/7LHJ1cV0Z+4uIZ7/+z/7J513Xq5NcrLNlCmWr3vJJRbzzHOC/DSrgb4NPpcCa5tqIyLtgG5A4PGeqnqbqg5T1WE9evQIulvi2bDBShynhSbXhJ3B8+67dj1JDe2AVTnt2zejM7e+3kT/5JNtNKeTX7RvbzNrrV5dEDX3g4j+QqBcRPqLSAdgApD5HDQTODf1/gzgCdUCCZC1gRdftGWUol9VBf/8ZzjHe/ZZWyZZ9MH+HzuJ/ty5VrfCO3Dzl+OOg29+E37zm+xPNhExzYp+KkY/BZgNLAXuV9UlInK1iIxNNZsKlIhIJXAZ8Flap4isAn4HnCci1Y1k/hQs8+fbIKYjj4zm/OnzLlgQzvGeftrmBDjiiHCOFxVf/KLNtVFTk1px880W+x07drf7OQnnhhsshWvKlLzu1A0UeVXVWap6gKoOVNVrU+uuVNWZqfe1qjpeVQep6ghVrWqwb5mq7quqXVS1VFULJzeqGebPt9Hge+4ZzfmPPdaebOfODed4zzwDRx9tJSWSzE6DtF57zSY//+53kzfazGkZvXrZYK05c+DOO5tvn1AS2t2WfOrr4aWXogvtgN1sjj46HNHfuNEGeyU9tAMwdKg5fPPnA7/+taX0TZkStVlOLvj2t+1LfOmlDR718gsX/YhYssTq6Oc6Pz+Tk06yImO7rTcTgOees+WXvtR2m6KmQwcYNgxWPl5llRj//d+tFruT/xQVwe2320CNCy/MyzCPi35EpOPoUXr6YAkp0PY5JZ55xqIfw4e33aY4MGoUnPzqDWi7dnDZZVGb4+SSgQPtCe8f/8jLMI+LfkTMn299gwMGRGvH5z8P++7b9hDP00/bU0u+hL0nHv8e5/F/vDnsXOjdO2pznFwzZYp1el1yCaxYEbU1oeKiHxHz55uXn+tBWZkUF5tXO3du659kKyvh5ZetxHy+cODDv6U927hmyw+jNsWJgqIiuOsuW44fn1d19130I2DTJpuAO+rQTpqTT7Y+q0CzRjXCHXfYb+Occ0I1Kzreegv+8AfeGHoO018up7o6aoOcSCgrM+FfvBi+972orQkNF/0ISJf4iEvdrpNOsmVrQjz19Sb6Y8ZAn8yKTElE1dIzO3emy82/BmDGjIhtcqLjq1+1+XT/9Ce4996orQkFF/0IuOce6ysaMSJqS4z997eJwVsj+nPn2lPC+eeHb1ckPPQQzJ4NV13FwKN7MXRowU6l6qS59lqL7194oZVgTTgu+jlm7VrLlJk0Kfp4fkNOPhmeeqqJksK74fbboaTEHKLEs3mz5WcfcshneflnnWWZVqtXR2ybEx3t2sH990PPnvCVryS+Y9dFP8dMn24RhEmTorZkZ0aPtkmEZs0Kvs/GjeYYf/ObeZK1c+21pu433/zZsOIzz7RNDzwQoV1O9PTqZeWX6+vtx5LgKRZd9HPMPfdYLnvcJg0/5RQLOf3yl8GzeO69154M8iK0M2eOVVg899ydRpgNGGADtaZNy8txOk5LOPBAeOQRe1z/ylfgo4+itqhVuOjnkKVLbf7YuHn5YI7tz35m9gWZS2L7dvjf/7Xiaocfnn37ssrq1TBxIgwZYiV2M5g82f4ujz4agW1OvDjqKAv1vPoqfPnLbR/KHgEu+jnknnssL37ChKgtaZxJk2DQIJsnujmv9g9/sFpkl1ySE9OyR20tnHGGTVT81782Wv1u8mR7MvvRj6yZU+Ccdpp5RsuXWwdvwjp8XPRzhKqJ/okn2vSIcSTt7b/yisXqm+L11+Hyy63ScKJz8+vrra5ORYXlY5eXN9qsfXu4/np7Ups6Ncc2OvFkzBhLXVu/3qoWLlwYtUWBcdHPEY88AqtWxTO005Czzzbtu+qqxr392lq7hr33tvBOnDKQWsS2bXbHuusuuPpqGDdut83HjYNjjoErrwxv0hkn4Rx9tNUfKS629zfdlIyOH1WN1evII4/UfOPDD1X79FEdMkS1tjZqa5rnrrtUQfWcc1Q3bdqxvr5e9bvftW2PPhqdfW3m009Vv/pVu5Drrgu824IFtstPf5pF25zksXGj6tix9uX42tdU33svEjOACg2gsZGLfOYrH0V/8mTVoiLVl16K2pJg1NebsBUXq+63n+q996pee61qWZl9Y7797agtbAMrV6oee6xdyC23tHj3CRNUO3ZUffLJ0C1zksz27aq/+51q+/aqXbuq3nij6tatOTXBRT8mzJ5tf+Uf/zhqS1pORYXqoYea/aB6wgmq06ap1tVFbVkr2L5d9dZbVbt0Ud1rL7uTtYJ161QHD1bdc0/V554L2UYn+Sxdqjp6tP1gBg9Wvf9+1W3bcnJqF/0YsHGjat++qgcdZBGFJLJli+qMGarLl0dtSSvZvl31qadUjz9+x51r1ao2HfLdd1UPOMDuHQsWhGSnkz9s36760EOq5eX2nevfX/Wmm3aOlWaBoKIfqCNXRMaIyHIRqRSRyxvZ3lFE7kttf1FEyhpsuyK1frmIjA6nJyL+PP20Tbv33ntWqqBTp6gtah0dOsDpp8dvMFmzbN5sw2hHjrR86jfegD/+0TIu9t+/TYfu1ctKafToYcXqbrghryrvOm1FxFLbli61NODevS23+XOfs3old99tWT9R0dxdASgGVgADgA7Aq8DgjDbfBv6Uej8BuC/1fnCqfUegf+o4xbs7X9I9/Y8/Vv3JT1RF7EaflDh+4tm2TfX111X//GfVceNUO3c2L2vAANU//lF18+bQT7l6teqpp9pp+vZVnTpV9YMPQj+Nkw8sXKj6/e/bFyUdLx0yxDrI7rhD9eWX2xwOIKCnL9a2aURkJPALVR2d+nxF6mZxXYM2s1Nt5otIO+A9oAdwecO2Dds1db5hw4ZpRUIq2dXW2ojsNWtsoNIjj+woWnbBBZbB1aVL1FYmnLo6Kwr0ySeWK7lxI2zYYLVPVq+2PNgVK2yE5Kef2j59+1qO5bhx5uWn6uhkiyeftIFbFRU2r8CIETYxzYEHWkn2fv1sit0uXWy7U8Bs3245/U88YWLx/PP2/Qb7cpx3XqsHg4jIy6o6rLl2QX4NfYA1DT5XA19oqo2q1onIR0BJav2CjH2zUnX9rQdfp2hSC4e6NpNS23Bz+t6oCrodtuuOdd2BE4AxHWCvvaDrXrDHAnb9K+UDzTgJu7Rp+IdLLxu+tm+3V329verq7LVli9096+ubPk9xsQl8WZkNsjrySCuUc+CBOR1AcPzx8OKL9vudM8ciSNddZ5eVSZcuVpyuQwcb9FVcbL/1oiIzueGrKRI7NsLBhkZ9IfW6guJ+dfTbWkn5ltc5oPZ19qkZQLYH7AcR/ca+Ypm//KbaBNkXEbkIuAigX79+AUzalY57d2Zt98Et37GJH5BkfEj/EIvEfqjFxdCuPezRGTp3th9zIyP485MgqpPZpqGSNVS2hqrXrl3qD9vOlLFjR+sM2XNP+wN36WJ1nLt3t1fv3ln34oNSVGQj8o891orW1dbCO+/Yg8g771htro8/toeVLVtsbNjWrTvf8xreC5siyD3XSRLtgIOo5iCqGc8Xv5ibMzZHNdC3wedSYG0TbapT4Z1uwKaA+6KqtwG3gYV3ghrfkP1HDWL/aq9/68SDTp2s8ztxHeBO3hMkwrgQKBeR/iLSAeuozazDOBM4N/X+DOCJVMfCTGBCKrunP1AOvBSO6Y7jOE5LadbTT8XopwCzsUye21V1iYhcjfUWzwSmAneLSCXm4U9I7btERO4H3gTqgO+o6m6CtI7jOE42aTZ7J9ckKXvHcRwnLgTN3vEEMsdxnALCRd9xHKeAcNF3HMcpIFz0HcdxCggXfcdxnAIidtk7IrIeaMtMw92BDSGZkwQK7XrBr7lQ8GtuGfurao/mGsVO9NuKiFQESVvKFwrtesGvuVDwa84OHt5xHMcpIFz0HcdxCoh8FP3bojYgxxTa9YJfc6Hg15wF8i6m7ziO4zRNPnr6juM4ThMkUvTbMlF7UglwzZeJyJsi8pqIPC4ibZv9OwY0d80N2p0hIioiic/0CHLNInJm6n+9RETuzbWNYRPgu91PRJ4UkcWp7/epUdgZFiJyu4isE5E3mtguIvKH1N/jNRE5IlQDgkykG6cXbZioPamvgNd8PLBH6v3FhXDNqXZ7Ac9g03IOi9ruHPyfy4HFwD6pzz2jtjsH13wbcHHq/WBgVdR2t/GajwOOAN5oYvupwD+wCfyOAl4M8/xJ9PRHAJWqWqWqW4HpwLiMNuOAO1PvZwCjRBI9s2iz16yqT6rq5tTHBdgsZUkmyP8Z4JfAb4DaXBqXJYJc84XALar6AYCqrsuxjWET5JoV6Jp6341GZt9LEqr6DDbvSFOMA+5SYwGwt4jsF9b5kyj6jU3UnjnZ+k4TtQPpidqTSpBrbshkzFNIMs1es4h8Huirqo/k0rAsEuT/fABwgIg8LyILRGRMzqzLDkGu+RfAN0WkGpgF/GduTIuMlv7eW0Q8ZpVuGW2ZqD2pBL4eEfkmMAz4UlYtyj67vWYRKQJuBM7LlUE5IMj/uR0W4vky9jT3rIgcoqofZtm2bBHkmicCd6jqf4vISGyWvkNUdXv2zYuErOpXEj39lkzUTsZE7Ukl0ATzInIi8F/AWFXdkiPbskVz17wXcAjwlIiswmKfMxPemRv0u/2Qqm5T1ZXAcuwmkFSCXPNk4H4AVZ0PdMJq1OQrgX7vrSWJot+WidqTSrPXnAp13IoJftLjvNDMNavqR6raXVXLVLUM68cYq6pJnmszyHf771inPSLSHQv3VOXUynAJcs3vAKMARORgTPTX59TK3DIT+FYqi+co4CNVfTesgycuvKNtmKg9qQS85huALsADqT7rd1R1bGRGt5GA15xXBLzm2cDJIvImUA/8UFU3Rmd12wh4zd8H/iwi38PCHOcl2YkTkWlYeK57qp/i50B7AFX9E9ZvcSpQCWwGzg/1/An+2zmO4zgtJInhHcdxHKeVuOg7juMUEC76juM4BYSLvuM4TgHhou84jlNAuOg7juMUEC76juM4BYSLvuM4TgHx/wE034rzXNSuKQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# first GMM\n", "d=1 # space dimension\n", "pi0 = np.array([.3,.7]) \n", "mu0 = np.array([[.2,.4]]).T\n", "S0 = np.array([[[.03]],[[.04]]])\n", "K0 = pi0.shape[0]\n", "\n", "# second GMM\n", "pi1 = np.array([.6,.4]) \n", "mu1 = np.array([[.6,.8]]).T \n", "S1 = np.array([[[.06]],[[.07]]])\n", "K1 = pi1.shape[0]\n", "\n", "# GMM densities\n", "n = 100\n", "x = np.linspace(0,1,num=n)\n", "gmm0 = densite_theorique(mu0,S0,pi0,x)\n", "gmm0 = gmm0/gmm0.sum()\n", "gmm1 = densite_theorique(mu1,S1,pi1,x)\n", "gmm1 = gmm1/gmm1.sum()\n", "\n", "# display densities\n", "plt.plot(x,gmm0,'b',label='mu_0')\n", "plt.plot(x,gmm1,'r',label='mu_1')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transportation maps \n", "\n", "We can compute the traditionnal Wasserstein map between $\\mu_0$ and $\\mu_1$ thanks to the function `ot.emd` of the POT library.\n", "\n", "### For $W_2$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", "M /= M.max()\n", "G0 = ot.emd(gmm0, gmm1, M)\n", "plt.figure(3, figsize=(5, 5))\n", "ot.plot.plot1D_mat(gmm0, gmm1, G0, 'OT matrix G0')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For $GW_2$ \n", "\n", "Now we compute the $GW_2$-map. We start by computing the $K0\\times K1$ cost matrix between all the Gaussian components of the two mixtures." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.3, 0. ],\n", " [0.3, 0.4]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wstar,dist = GW2(pi0,pi1,mu0,mu1,S0,S1)\n", "wstar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An optimal transport plan between $\\mu_0$ and $\\mu_1$ for $GW_2$ is given by\n", "$$ \\gamma (x,y) = \\sum_{k,l} w_{k,l}^\\ast g_{m_0^k,\\Sigma_0^k}(x)\n", "\\delta_{y=T_{k,l}(x)},$$\n", "where $T_{k,l}$ is the $W_2$-optimal map between $\\mu_0^k$ and $\\mu_1^l$ and $w_{k,l}^\\ast$ is a solution of the linear program $\\inf_{w \\in \\Pi(\\pi_0,\\pi_1)} \\sum_{k,l}w_{kl} W_2^2(\\mu_0^k,\\mu_1^l).$\n", "\n", "Moreover, if $(X,Y)$ is distributed according to the law $\\gamma$, then \n", "$$ T_{mean}(x) := \\mathbb{E}_\\gamma (Y | X=x) = \\frac{\\sum_{k,l}\n", "w_{k,l}^\\ast g_{m_0^k,\\Sigma_0^k}(x) T_{k,l}(x)}{\\sum_{k} \\pi^k_{0} g_{m_0^k,\\Sigma_0^k}(x)} .$$\n", "\n", "In the following, we compute and display these two maps on a regular grid." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 100\n", "x = np.linspace(0,1,num=n).reshape(n,1)\n", "\n", "Tmap,Tmean = GW2_map(pi0,pi1,mu0,mu1,S0,S1,wstar,x)\n", "plt.figure(3, figsize=(4, 4))\n", "ot.plot.plot1D_mat(gmm0, gmm1, Tmap, 'Tmap')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(3, figsize=(4, 4))\n", "ot.plot.plot1D_mat(gmm0, gmm1, Tmean, 'Tmean')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpolation \n", "\n", "### Interpolation for $GW_2$\n", "\n", "We now compute the interpolation between the two distributions for $GW_2$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a43f77e6d35a457780345f104fafd40e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.5, description='t', max=1.0, step=0.05), Output()), _dom_classes=('w…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def barygmmot(t):\n", "# Barycenters for GW2\n", " pit = wstar.reshape(K0*K1,1)\n", " mut = ((1-t)*mu0+t*mu1.T).reshape(K0*K1,1)\n", " St = (((1-t) + t*np.sqrt(S1.T/S0))**2*S0).reshape(K0*K1,1,1)\n", " gmmt = densite_theorique(mut,St,pit,x)\n", " gmmt = gmmt/gmmt.sum()\n", " plt.plot(x,gmmt)\n", " plt.plot(x,gmm0,'r')\n", " plt.plot(x,gmm1,'k')\n", " plt.show()\n", "\n", "interact(barygmmot,t=(0.0,1.0,0.05))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pit = wstar.reshape(K0*K1,1)\n", "for t in [0.2,0.5,.8]:\n", " mut = ((1-t)*mu0+t*mu1.T).reshape(K0*K1,1)\n", " St = (((1-t) + t*np.sqrt(S1.T/S0))**2*S0).reshape(K0*K1,1,1)\n", " gmmt = densite_theorique(mut,St,pit,x)\n", " gmmt = gmmt/gmmt.sum()\n", " plt.plot(x,gmmt,label='t=%.2f' %t)\n", " \n", "plt.plot(x,gmm0,'b:',label='mu_0')\n", "plt.plot(x,gmm1,'r:',label='mu_1')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpolation for $W_2$\n", "\n", "We now compute the interpolation between the two distributions for $W_2$, thanks to the function `ot.barycenter`of the POT library." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "86722a18b8094a8eaa74b552cf401054", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.5, description='t', max=1.0, step=0.001), Output()), _dom_classes=('…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Barycenters for OT\n", "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", "M /= M.max()\n", "G0 = ot.emd(gmm0, gmm1, M)\n", "A = np.vstack((gmm0, gmm1)).T\n", "\n", "def baryot(t):\n", " weights = np.array([1 - t, t])\n", " reg = 5*1e-4\n", " ott = ot.barycenter(A, M, reg, weights)\n", " plt.plot(x,ott)\n", " plt.plot(x,gmm0,'r')\n", " plt.plot(x,gmm1,'k')\n", " plt.show()\n", "\n", "interact(baryot,t=(0.0,1.0,0.001))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A = np.vstack((gmm0, gmm1)).T\n", "for t in [0.2,0.5,0.8]:\n", " weights = np.array([1 - t, t])\n", " reg = 1e-3\n", " ott = ot.barycenter(A, M, reg, weights)\n", " plt.plot(x,ott,label='t=%.2f' %t)\n", "plt.plot(x,gmm0,'b:',label='mu_0')\n", "plt.plot(x,gmm1,'r:',label='mu_1')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimal Transport between Gaussian Mixture Models in 2D\n", "\n", "In the second part of this notebook, we illustrate the use of the distance $GW_2$ for two dimensional Gaussian mixtures. We use the following simple mixtures:\n", "$$\\mu_0 = 0.5 \\mathcal{N}\\left(\n", " \\begin{pmatrix}\n", " 0.3\\\\0.3\n", " \\end{pmatrix}\n", ",0.01 I_2\\right)+ 0.5 \\mathcal{N}\\left(\n", " \\begin{pmatrix}\n", " 0.7\\\\0.4\n", " \\end{pmatrix}\n", ",0.01 I_2\\right),$$\n", "and\n", "$$\\mu_1 = 0.45 \\mathcal{N}\\left(\n", " \\begin{pmatrix}\n", " 0.5\\\\0.6\n", " \\end{pmatrix}\n", ",0.01 I_2\\right)+ 0.55 \\mathcal{N}\\left(\n", " \\begin{pmatrix}\n", " 0.4\\\\0.25\n", " \\end{pmatrix}\n", ",0.01 I_2\\right),$$\n", "where $I_2$ is the $2\\times 2$ identity matrix." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "d = 2 #space dimension\n", "\n", "# 2D Gaussian mixtures\n", "K0,K1 = 2,2\n", "pi0 = np.array([[0.5,0.5]])\n", "mu0 = np.array([[0.3,0.3],[0.7,0.4]])\n", "S0 = np.array([[[ .01, 0],[0, .01]],[[ 0.01, 0],[0, 0.01]]])\n", "pi1 = np.array([[0.45,0.55]])\n", "mu1 = np.array([[0.5,0.6],[0.4,0.25]])\n", "S1 = np.array([[[ .01, 0],[0, .01]],[[ 0.01, 0],[0, 0.01]]])\n", "\n", "# display\n", "n=50 \n", "x = np.linspace(0, 1,num=n)\n", "y = np.linspace(0, 1,num=n)\n", "X, Y = np.meshgrid(x, y)\n", "XX = np.array([X.ravel(), Y.ravel()]).T\n", "Z = densite_theorique2d(mu0,S0,pi0,XX)\n", "Z = Z.reshape(X.shape)\n", "Z2 = densite_theorique2d(mu1,S1,pi1,XX,)\n", "Z2 = Z2.reshape(X.shape)\n", "CS = plt.contour(X, Y, Z,8,cmap='plasma')\n", "CS = plt.contour(X, Y, Z2,8,cmap='viridis')\n", "plt.axis('equal'); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpolation for $GW_2$ \n", "We compute the K0xK1 cost matrix between the Gaussian members of the mixtures." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0. , 0.5 ],\n", " [0.45, 0.05]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wstar,dist = GW2(np.ravel(pi0),np.ravel(pi1),mu0.reshape(K0,d),mu1.reshape(K1,d),S0.reshape(K0,d,d),S1.reshape(K1,d,d))\n", "wstar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute and display the barycenters between $\\mu_0$ and $\\mu_1$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def barygmmot2d(t):\n", "# Barycenters for GW2 in 2d\n", " pit = wstar.reshape(K0*K1,1).T\n", " mut = np.zeros((K0*K1,2))\n", " St = np.zeros((K0*K1,2,2))\n", " for k in range(K0):\n", " for l in range(K1):\n", " mut[k*K1+l,:] = (1-t)*mu0[k,:]+t*mu1[l,:]\n", " Sigma1demi = spl.sqrtm(S1[l,:,:])\n", " C = Sigma1demi@spl.inv(spl.sqrtm(Sigma1demi@S0[k,:,:]@Sigma1demi))@Sigma1demi\n", " St[k*K1+l,:,:] = ((1-t)*np.eye(2)+t*C)@S0[k,:,:]@((1-t)*np.eye(2)+t*C)\n", " \n", " # contour plot\n", " Z = densite_theorique2d(mut,St,pit,XX)\n", " Z = Z.reshape(X.shape)\n", " CS = plt.contour(X, Y, Z,8)\n", " plt.axis('equal')\n", "\n", " \n", "barygmmot2d(0.5)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7a8d700d1fdb4921b9323afafa1e3681", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.5, description='t', max=1.0, step=0.05), Output()), _dom_classes=('w…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# interactive display \n", "interact(barygmmot2d,t=(0.0,1.0,0.05))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpolation for $W_2$\n", "\n", "In the following we display the same barycenters but this time for the $W_2$ distance. The computation between two steps is not instantaneous and can take a few seconds." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zc4WI8DgkCWb/OJYW7f0rva9SqeKFN5aSm1/Msh+e05reOBkVx8z/bcVAIfHl2N609q+4qJhSreZyagrH4+M4mRDPxdRkisuUlKpV99pYGBkR4OhEoJMzgY5OBLu4Ut+x8lWksWlZvL5kG5FJaUzr1YYXOjer8H08dDKKd7/eTN8uQcya3L3K9/ru/PukN3ox+Jk2lbYTnizVGdxbAR/Kstzjzs9vA8iy/PkDbb4ComRZXqhvB0Vwr7nycgr55r31nDp0DVcPO56b3oN2/1Ct8bzcIo7uvkzYsWjOn7pBYX751I1aVb7ptI9vLdp1a0D7HkE6l+Av23CKX5cd4fNZA2nXvJ7GuYiEFJ6dvwZ3e2vmvTAAd3vtaZ3bubl8f+o4u65Hk19WCoCfgyMhrm5YmZhgYmCAsYEBhgoFSXl5RKSncS0t7V7bIOdajA1uTD8/f0wNtaebikrLmL16DzvOR9K9kS+fjOiBeQXTUgv+OsqSdSd5/cVuDOzeqNLfV5Zl3pu8hGuX4vljy4x/bRMS4dFUZ3AfCvSUZXnCnZ+fAVrIsvzKA202Uj66b0P51M2HsizvrOBek4BJAF5eXiGxsbH6/0bCU+FWVDIfT19Oekou46d2o//olhjrWWPl77o7dXP2xHVMTI1o27WB3kvubydn88yMxbRsUps5bw7QOJeUlcvoH1ZgZGjA8mkjtea9c4qL+TnsFP8LP48kSQwMqE9bT29aeHjiaG5e5euqZZn4nBwOxd5i+aULRGdmYGNiyrDABrzQJJRalpqvJcsyiw+e5fttR6nr4sD8FwZoPcBVqdTM+nwDYZdi+emjEQQFuFf6+nE3U5k8dB7dBzTl1dkD9XmrhH9ZdQb3YUCPh4J7c1mWpz7QZitQBgwHPIAjQENZlrMru68Yudc8Jw5c5cu31mBuacL7342mfiPdi2ueBLIsM+PjtUREJ7H8h+dwcrhfhqCwpJQxP64kJTufJVOHU8/FUeO6JRfP8/3JE+SWFDO4fgNmtGyNm9XjZcvIsszp2wksvRjO7pvXMTM04v32HRka2FCr7bFrMby+dBu2FmYsnToCRyvNUXdufjETZy2juLiMRd+Ow9628lH5gm92sGHpcX5c8RK+gZV/EAhPBn2Duz5FMRKAB/9KPYDECtpskmW5TJblW0Ak4KtvZ4Wn394t5/lk5gq86zrz08qXn5rADnAqPIawi7FMGt1WI7ADzNt5guvJGXw7vo9WYP/i2GE+OnSA4Fq12Dp6HF936/nYgR3KN+9o4eHJvN792D32WRo4OfPm3l28sWcnRWWa6aJtAnz4bdJg0nMLmLVsByq1WuO8taUpc94cQE5+Eb8uO1zl6455sRMWVqas+qPqdsLTRZ/gfgbwlSSptiRJxsBIYPNDbTYCnQAkSXIE/ICb1dlR4cl1YNsFvnl3HcGhPnyx8DmdBbieJLIs8/uKo7g6WzOgm+b89JX4FJYfOc/wVsG08tN8eDr/zCl+PxfGM8GNWTxgSKUPQ7NLi9h9+yrrY8+z/OZp/og6xvyrB1kXc564/Ewq++bsY2vH0kFDmdq8JeuvXmHQ6r+4mZWp0SbY25X3hnTm9PV45u86oXWPut5ODO8bwvYDV7gc9fB47D4LK1N6DQnl+L4IUhKzKm0nPF10TobKsqyUJOkVYBfl8+l/yrJ8RZKkj4EwWZY33znXXZKkCEAFvCHLcsY/2XHhyXDh9E2+fX89wc1q8/G8Z/TOO39SHD59ncgbKbwzpSdGD6xWVanVfLR2L/aWZrzaRzOTZHH4Ob47eYzBAYHM7tBZ60FxobKUA8lRbIu/xNGU65TJmqPqB9UytSLU0ZvWznXo6xGEscH9P0kDhYIZLdsQ6urOjF3bGbTqL5YPHkZD51r32gxo1oBzNxP5fe9pGnu70j6wjsb9nx3ail2HIvh+4T4WfDFWK7Xzrn4jW7BuyTG2rDzFhJk9db9xwhNPLGISHlvsjVRmjluAg5MV3y6ZhNVjrhwFKCwq5cLVBJJSczAzMcLczBhzM2MszE3w9XHWCLzVRaVS8+xr/0Olklny/bMapXs3nLrMB6v38NXY3vRqcj99ck3EZWbt3UX3uvWY16sfhor71xQqS/k+Yj/rYs5RqCrDxcya3h4N6eZWHydTS8wMjDA1MMLEwJCYvAzOZMRyJj2WM+kxpBXn42Zuw9T6nejnGYSBpPml+nZuLiPXraKgrJTlg4drfFMoLlMy9seVJGXlsmbmWNzsNaeGdh+O4OMftvPW5B707RpU6fvx2esrOX/iOsv2vImpufFjv6/CP0usUBX+UaWlSqYMm09+bhFzl72Ii/ujVxm8GZfOsbAbnA6P4VLkbZTKike41pamdG7jT4/2gTT0d6u2lMojp6/z9pcb+XBGX7q2Dbh3XKVW03vOIhytzFk2beS917uUmsLgVctp5eHF7/0GYmJ4f5SdXVrEpOPLuJyVyECvxgz0bkSog7deC5VkWeZ46k3mRuzjSnYSIQ5efB4yEE8Lzfc0LiebkWtXAbBjzHhsTO+XT4hLz2bE3OUEebmw4MUhWvd/+b2VJKZks+63FyutP3/lfCyvjf+dmZ8MpvuApjr7Lfw7xAbZwj9qzZ+Hib+Vxqc/j3vkwF5QWMKvy4+wcVc4sgy+tZ0Z3jeEZsHe1PZypKRESWFxKYVFpWRmF3DwRDQ7Dlxh464LuDrbMLBHI4b3Cfnbo/ntBy7jYGtBx1Z+GsdPRceTmJXLzH7t7gV2WZb59PAB7M3Mmde7r0ZgTyvO54VjS4nJz+CnFiPo4hbAo5AkiTa16tLauQ4b4y4w5+JOBu77hc9DBtHdvf69dl42tvzadwBD16zgg4P7+KFnn/vnHG15qXtLvtl8mLM3Ewip46Fx/9EDmvH2lxs5df4WbULrVtiPwMZe2DtZEXY0SgT3GkAEd+GRJcSks/L3Q3ToGURoWz/dFzzg8Klo5i7cR0Z2AcP6hDB2UPMq0/QAOrXyp7ColEOnotl58Aq/LD3M7sNXefvlHgTUq7xqYlWycws5ce4mQ3s31RrJbjh9GRtzUzo1uD9/fTIhnjOJt/mwQ2esTe6PmBMLc3j+6BJSi/P4tdVoWjtrznk/CkmSGOTdmJZOtZlxei2vnVnLTwYj6Ohy/z0OruXCtOat+O7kMbrUrkN///vBf3irYBYfCOPnXSf5Y/JQjXu3alobOxtztu2/XGlwlySJ0Da+HN8XgUqpwqAaa+UI///+uf3BhBpJlmXmfboZY1MjXnyzt97XZeUU8s5Xm3jnq01YW5nx2+ejmfZcJ52B/S5zM2N6dWzADx8O5/NZA8nJK2LS28uZ/7+DFJdUXVWyInuPXkOpVNOrYwON49kFRey7dIO+IQEYPzA6/+n0SZwtLBjR4P6cdVpxPmMPLyKztIA/2jyjV2CXZZlSdSnqKh6yuprb8HubMfjb1OLVU6s5mXZL4/xLoc1p4uLKBwf3kZSXd++4mbERL3Ruxunr8Zy5Hq9xjaGhAT06BHIs7AZZOYWVvnZoWz/y84qJvHxb5+8iPNlEcBceybF9EYSfvsn4qV2xd9Qv5TEnr4gp763k5LmbvDimHX98NZb69R6/EmG75vVY+v2z9OkcxIrNYTw783/ciE3T+3pZltm2/zK+tZ2p662Zwrj9fCRlKhWDmt9fOBSWeJuTt+OZ1LSZxnTMJxe2k1GSz6I242jiUHFef1ReNF9e+5q3L73PtPMzmRj2EhPDJjMz/E023d5CkaqowuusjEz5vfVYvC0dmHJiBddyku+dM1Qo+LZ7L0pVKuYcPahx3dBWwThbW/Dz7pNa9+zdqSEqlZo9R65W+t40aVkXhULizNGoStsITwcR3IVHsnHZcdy8HOgzrLle7WVZZs68nSSmZjP3g2E8M7hFlbsZ6cvKwpRZk7vz44fDKS5VMuW9lZy7FKfXtZv3XCT6VirDemvPK5+KjsPL0RZ/t/tBf+f1aIwNDBjZ8P5uR7H5mexJvMoEvzY0sHPTuo8sy+xN2c8X174mqSgFN1MXGtsG082lK0M8BuFp7sH62xt5LXwWWxK3VRjk7UzM+aPNM5gZGvNR+DaNnHgfWzvGNWrCjuvRpOTn3ztuamTIyDaNCbuRQEpOvsb96ng54uPhwMlzmt8EHmRlbYZvoDuXz8ZU2kZ4OojgLugt/lYal8/F0mtwqM4df+5avfUsx8JuMGVcRxoFeui+4BE1DfLi1zmjcbS3ZOana9ldxagUIDUjj/lLDhES5EWvTg20zl+OSybYW3Me/2h8LM3c3DE3up/DvzbmHAaSxHAf7c0uStWlLLz1J0tjlxNk05DPgj5mqu8Unq/9LCM8h9HfrS+v+U/nw8D3qWdZl7UJ65l18R0Si7QXGjmZWjKzQRfCMxPYHH9R49zwwIaoZZkN1yI0jne886zgyFXtIB4S5MXFawmUlam0zt0VEOxJ1JXbqJSVtxGefCK4C3rbuS4MA0MFXQdUvDPRwyKik/hl2WHaNavH0N76XfM4XJys+fmzUTT0d+Pj77exfOPpCld+yrLMN7/tQa1W8+ZL2uVwk7PzSM0toKHn/eCeVlBAVEY6bb3ur1AtVavYEBdORxc/aplp5pRnlGTwWcQXHE0/zkC3/rzq+woWhhUXD6tt6cNM/1f5IPBdAL6OnEtGSaZWu4FejQm2c+fbK3spUSnvHa9jZ0+Iqxvrrl7R+H3ruTjgbm/NoQjtReIhQV4UlyiJiE6qsE8AAcEelBSXEXO9yqrdwhNOBHdBL6WlSvZuOU+rjvWxc6h4N6AH3d3f08HWgren9PhHyv0+yNrSlO/eH0qXNgH8svQw7329mcibKRpt9hy5yvGzN5k0uh3uLrZa97gcVz6vHex9/3nAsfjyyqVtPO8H9/1J18goKWDYQ6P2UnUZX0fOJaUklVd9pzLIYwAKSfefWF3LOrzmN4MiVRHfRH5HfpnmdIpCkpjRoAtpxflsjAvXODc0sCE3sjIJT74frCVJon39OpyKjqO4TKnRvklDTxQKibBLlVdkrR9c/vzg2sX4StsITz4R3AW9XD4bQ05WId0G6pf/vGpzGMlpOXw0sx/WVWz5Vp2MjQyZPb0PE0a24eylOCa9tZyNuy8A5R82Py46QAM/10r3RI1OSkeSwN/tfoGw88lJWBobE+jkfO/YvsRIHE0saVtLM6XwbNY5koqTeKnuRJraNX6kvntbeDHddyopJalsTtyqdb6Fow+Btq6sj9UM7n18/TFWGLD75nWN420CvCkqVd77wLrLysKUet5OXImsfORey90OKxszrl+rvB6N8OQTwV3Qy42r5cEgsLGXzrZqtcz2g1do3tiHhv7aDxv1oVbL5BYVk55bUGlxrYooFBLPDmvF2l8n0byRN9/8tofvft/LHyuPk5NXxGsTu1b6vCCnqBhLExONFMisoiIczS00VpomFeVQ28pBq0TAjfwbGCuMCbLRLtGrjwBrfxrZBnMq87RWqqQkSTRz8CYyJwXlAxUgLY2N8ba15VaWZsEv7zsbaidl5Wq9jquzDakZeVrHH3wtB2drstLzK20jPPnEIiZBLzejknBysdGrfsylyNukpufx0ph2et9frZb5be8pNp25Qm5hCfklJdyN6W0DfHh/SBetmilVsbQw4Yu3BvHrssOs2Fxe5qJf1yD86tSq9Jq8ohKszDS31sspKcbGRPNYSlFuhamPtwpi8DH3xkB6/GyglvYtOJd1nmt5kQRa19c4F2DrQolaSWx+BnWt72fz1La141a2ZnB3sS1PU03M0g7iTg6WVU7LANg7WpKdIYL700wEd0EvNyKTqeOn32rQ/cciMTY2pG2zerobU74hxjsrdrHv0nXaBPjg42SLlakJVmamFBSXsOjgWQZ+vYRXe7dhZJtGGCj0+8JpYKBgyviO1PF2YseBy0wc1bbK9nlFpViaahbMyikpwfaBFalqWSalOA9nU80cf6VaSWxBHJ2dO+rVt8o0tg3GVGHCyYxTWsG9vk35+38tJ1kjuPvY2XEw5hYqtfree2NqZIi9pTlJ2dojd0d7SwoKy8s7mJtVXCDM1sGS27GisOvTTAR3QafSUiUJMem07lxfZ1tZljl4IorWTWtXGjgebj/xt/Vcjktm1oAyMlq9AAAgAElEQVQOjGnXROvh64BmDfhk3T6+2HiQA1du8MuEQRg9Qq58r44NtFaiViS/uATLh0buuSUleFrf/8aQXVpImVqlFdwTi5Mok8uobeGjd78qYmJgQlO7JpzJPMtzPuM13os6Vo4YKQy4lpNCH8/7K2Vr29hSqlaRmJeHp839vV1d7axIrmjkbl/e9/TMfLzc7Svsh529JdmZBX/rdxH+XWLOXdCpIK8YtUqNg5PuaZGi4jIysguo76vfCtTwmEQuxibx9qBOjG3ftMKsGjd7a36eMJD3h3bhVHQ8P+449si/gz5MjAwpLtUsZWBpbExeSem9n80NjVEgkVtWrNHOwqA83TFfWT0B0VDSHncZSApkWdaqNKmo5JuMgUKBuoLnFYaG5e0rOnfvWiODe5uMC08nEdwFnUrv1G4xNtH9RS8nr3ylpa2etd03hUVgZmxIv5CqvxVIksTwVsH0Dw3kr6PhZBdUvGz/73CytiA9VzM4e1rbEJebc+9nUwMjPC3siM7VzAF3MHHA3tieqPzov92PqLxo/Kx8tT7oMksKUMpqnM00vzVkF995zx8oAQzl010WJtrfnoqKy/97mlaxcXlZqRKj/6eNzYV/hgjugk6lJeW50noF99zyQGOjR/pjcZmS3eHRdA3yxcJUv80hxnVoSqlSxeawqleiPg5Hawsy8gs19iP1tLEhMTdX41g9a2eu52rXsvGz9CUqL/qRsnsellGSSXppBv5W2lsQpxSVz5+7mGp+g8oqKsZQocDSWPM9zC8urfB9LbnzYW1Sxa5ZZSVKjIxFVcinmQjugk73g7vuLfTujtz1Ce4HL98gr7iE/qGBevfF382JYG9X1py4+LeCaEWcrCxQqWWy8u9/K/CytqFUrSKl4H7mSD1rJ2ILMihVaS4Q8rOqR3ZZNmkl6Y/dh6i8qDv30i6lnFJcPn/+8KrY7OIibE1NtUb6BZWM3ItLy/ttZlr5f8/SMiVGRmLk/jQTwV3QSXVn7lWfejKld2qW6LORRlRSeRB8uJaLLt2C6hGTlkVmfvVOzbg7lD+MvJFyP0uknr0DgMYK0CBbN1SyzJEUzYVDgdaBSEisS9iAUq0Z+PWRVZrF2oQN2BrZ4GmuXYfnbHosBpKEx0M7NEVnZuBqqTlVk1dUQn5xCXaW2h+ymVkFGBsZYFxF8C7ILcbMwqTS88KTTwR3Qae70zGlpboDlqN9eX329EzdOdJNapcvcAqPqXy1ZEVK7hS0sjar3uATWscdIwMDjl6LuXcsxNUNZwsLNkdeu3esg4sf7ua2/B51TOPbg6uZC0M8BnEy8xRfR35HblnlC4UeVqAs4JvIueQr85juN00rV75AWcra2PN0cwvE1vh+wE7Jz+dcUiJd62iulj0fk4gsQxMf7UVkkTdTqOfjXOlm2VC+IYuHj2Ol54Unnwjugk4md76+lxSV6mgJzg7lUwZVrYC8K6SOB0YGBpyIqnpBzcOyC4swNzF6pHRIfZibGBNa112jmqKBQkFf3wAOxtwip7g8Q8ZQoeB539ZcyEogLEOzzHA/tz68WGciN/Jv8tGVT4gr1F2fpUhVxNyoH0kuTuFVv6kVplNujAsnt6yYcXVbaBzfdSMaGehZV3Ma5+yNBAwNFBp1cqB8sVjkzRQC6la+mEulVHE7NgPP2iK4P81EcBd0uhvc7869V8XOxhxDQwWp6bqDu7mJEU1qu3EiSr867HflFhZja/7P1KtpV782N1IyuZ15P0NmQEB9StUqdly/v4HFYO/GOJhY8HvUUa17tHZsybv130Ilq/kkYg4nMk5VuPNSRkkGK+NWMzP8Da7n3+CluhO1Fi5B+aj912tHaGLvSWN7zemandejqWdnj6+Dg8bxsJu3aehZCzNjzXn1+MRMiorLCKhb+VRY8u0slEoVHrWdKm0jPPnEExNBJ+M7KXHFxbq3s1MoJJzsLUnRI7gDtPLz4oftx7iVmklt54oX1DwsOTsfGwtT3Q0fQ7v6tflq0yH2XrzO+I7lVR8bOjlTx86OVVcuMaJBEJIkYWpgxLi6LZgbsZ99ide0NsWubenDhw3e48fo+fx6YwG/3/wDOyM7HEzskZAoU5dxs+AWEhKh9iH0culBHcvaWv1RyzJzLuwgvSSfH1sM13hoGpeTzenEBF4O1RzNZxcUERGfcq//D7ocVV4MzL+KkXvsjfI0TzEt83QTI3dBp5I7I3bTKrIrHuTqbENSao7uhsCAZoFYmZrw6br9emW/xKRlceZGPO0CtANhZWRZJjUjD6Uei3J8nOwIrevB4oNhFN1Z0CRJEhObhHIhJZlt0ZH32o6p24IgOzdePb2azXEXte5la2zL2/XfZFKdF+jp0h1fq7rIlO+haiAZMMCtH183+pwp9V6qMLCrZDXvntvE+rhwXvJvp1HPRpZlPj50ADNDQ0YHBWtct+TQOVSyusK1A3uPXsPV2ZranpUH7rPHrmNqZky9gMffClH494mRu6BTwZ30Rgsr/UbL7i62HD1zQ6+2TtaWTO/blk/W7mNzWAQDmlVeJkCpUvP9tqMYGRgwqm0jve4PsG3fZb74ZReGhgo8XGzxdnfA28OBgT0a4eygvQ/sKz1b8ez8Naw+fvHe6HdoYEOWXAxnzpFDtPf2wdrEFAtDYxa1GceUkyuZdXYDeWXFjKmruf2gkcKINo6t9e7rXWVqFW+d3cj2hMtMrd+RlwM6aJxffy2C/TE3eadtB1weyJTJKSzmr6PhdA/2o66L5lRNemY+YRdjGT+kZaUPU2VZ5vSRSJq2qqtX6qvw5BIjd0Gn/LzyB4mWjxDcs3IKKdTjASzA0BZBNPFx4+vNh8nML6ywTXGZkhn/28K+S9eZ2rM1jlYWet1bpVKzbMMp6ng5MrJfKJ6u9tyKz2D5hlPM/m5rhd8WQup40NrPmz/2n6GguPx3MFAomNOlO2mFBXxwcN+9thZGJvzWegxdXP359OIOfrl2+G/n32eUFDD91Bq2J1zmtQZdtQL7zaxMPjiwl5bunjzXWLO+/rLD5ygoKWVSN82pGoA9R68iy9C9Q+XrChLjMkhLziGktfYiKuHpIoK7oFNBbnlwt9Bz0427uxzdTs7Wq71CIfHBsC4UlJQy7qdV5BZp1m0pLCll8u8bOBRxk3cGdeLZTqF69/3I6eskJGfz3PBWvDS2PZ+/NZC/fnqe6S904dK125w8X/Fm0a/0ak1WQRHLjpy/d6xRLRemNm/F5shrbIq8v0LWxMCQ75sPZ4BnI368eoC3zm7UKk+gj4KyEv6MPk6vPT9xOCWad4N7MsGvjWab0lKm7diKqaEh3/XopVEhM6ewmOVHwukaVA8/V81pF1mW2XUogvq+Lni5Vf5s48KZ8vejUfM6j9x/4ckigrug05XzsSgUErXctbemq4jRnc0uSsr0X8hTz8WR78b1JTY9m26fLOTrzYdIzsqjpEzJtEWbOX/rNp+P7sWotvrvcCTLMks3nMLDxZb2zTVHon27BOHhaseXv+wmK0e72FeQlwudG9blj/2nSci4//zg5WYtCHF14629uwlLvH3vuKFCwZyQAUzya8uO21fov+8Xxh5exNb4S1orWR+UX1bC2fQ4vrm8h0675vL15T0E23mwqctkxj6U9phVVMTYDWuIzEjn6269NKZj1GqZ2av3UFRaxkvdW2q9zoETUVyPSaNfl2Ctcxrttl/Axd0Od2+HKtsJTz6pupdw6ys0NFQOCwv7V15b0F9ZmZJnun2Nf5AnH/00Vq9rlqw7yYK/jrJr6VQszB9todG126ksPniWneGRSEh4OtpyKzWTz0b1eKQyBQCnw2OY+cla3prcg75dg7TOR8ek8uLbfxHk78Z37w/VWoGblJXLwK+X0NjbjV8nDbqXqZJZVMiwNSvJLCpizbCR91ax3pVZUsCG2HBWx5wlrqB8Ew0/a2fsTSywMzbH3sSc9OICruYkE1dQviG2Aonu7oE879uKIDt3rb4m5uXy3Kb1xOZkM69XX7rW0ayV/8P2oyzcd4Y3B3TgmfaaUzWFRaWMmfYntjbm/P7lWAwrWWl8KyqZyUPn8cKMHgx7Tv+NVoT/X5IknZVlWefXVzFyF6q0b0s42ZkF9BupPYdbmRuxabg62zxyYAcIcHfmizG92P7284xs24is/ELeHtTpkQM7lH/IODtY0aOSOWZfH2dem9iFs5fi+HP1ca3zrnbWTOvVhuNRsWw9d3+Fqr2ZOYsHDMHIQMGzm9Zp7YJkb2LBC35t2NFtKgvbjGWyf3s8LewpVSmJyE5ic/xFInKSCLCpxbT6nfil1SgO9ZrJ3OZDtQK7LMusibhMr+VLSMrLY/GAIVqBfdOZKyzcd4ZhrYIY2057f9hFq4+TlpnPaxO7VhrYAbauOo2xiSE9BmmnUApPH5EtI1RKpVSxauEhfBu4E9Jav12VoDy41/P+ewtg3OytmTWgI7MGdHys6y9cTSA8IoFpz3Wqss5Nn85BXLx6m/+tPUlDPzdahWjONY9s04jt5yP5auNB2vh7Y29ZXrfd08aGRf0HM3bDWvqtWMrsDp0ZWr+BRh66QpJo41yXNs6apQH0dTsvl3f37eFwXAzN3Tz4omt3fGw168qcvZnAh2v20sLXk7cHddIqHnYzLo3VW8/St0tQlfvZ5ucWsXfLeTr2Csba1vyx+is8WcTIXajUyoWHSErIYvSkjhVuolGRy5GJxCVmUe9fXt24afcFrC1N6d+t6jlmgJkTulDPx4lPf9pBUbFmho+BQsGHw7qSX1LKt1sOa5xr4FyLbaOfIci5FrP27mLm7h0Ulule6KVLTnExP585RY9liwlLus2HHTrz15DhWoE9PCaRqX9uxsPehm/H9cXIQPNDrKRUyZx5O7EwN+GlsVVPs2xcfoKS4rJH+oYmPNlEcBcqtG9rOEt/3k/nvo1o2TFA9wVATEIGb85Zj5uzDYN7ak8P/H+6nZyNb21nTPXI1TYxMWLGhC7k5BWx+7B2nXhfV0fGdwhhc9hVzt+6rXHOzcqaZYOGMb1FazZHXmXQquWcTIh/5HRIWZa5kJzEG3t20vKP3/jmxFFaeXiyY/R4xjVqorX70pazV5n02zpszU35ddIgbMw101RVKjWf/LCNazdSeOvlHthaVz4aj7+VxqqFh2jfoyG+gdrz/cLTSUzLCFounLnJ3A82ENysNjM+GqTXqD0tI4/XPlmLoaGCb98fip3No3+1j0xM42RUHM42lrjaWeFmZ42jlUWV1Qsrk56ZT5OGnrob3hEc4E49HyfW7wynf7dgrd95UtcWbDt3jY/X7uOvV0dp1GwxUCiY1qIVTV3d+ODgPkavX01dO3t6+/rRs54fAQ6OFb6HqQX5XExJ5mJKCgdjbnI5LRVzIyMG1w9kTFAjAp2cta4pLCnj8w0H2HjmCk3ruPPtM31wtNbM+ZdlmR8XHeDgyWimPdeJ9i0qz1lXq9X88NFGTEyNeGlWH73fL+HJJ4K7oCHuZiqfTP8LNy973p87Wq8NG/IKinn903XkFZQw7+MR9/Lc9aVSq1l0IIz5O0+gVGuWCDA3MeKHZ/vT0s9L7/up1TLpWQU42lnqfY0kSQzu2YSvft3NxWu3aVRfs0CXuYkRs4d15eWFG/hk7T4+G9VDK2C39fJmy8ixrL8WwY7oKOafOcVPp0/ibmWNjYkJhgYGGEoSBgoF8Tk5JN/ZAMRAkgh0cuajjl0Y6F8fK5OKH0RfT07n9SXbuJmayYvdWvBSt5YVPiBdtuE063acZ1T/UIb3rfrh6M71Z7l8LpbpHw7E3lF7ta7w9NIruEuS1BP4ATAAFsqy/EUl7YYCa4BmsiyLPMenTEZaHu+/vAQjY0M+nj8OKz32Qc3OLeSdrzYRm5jJ1+8Mwa9O5QWpHqRSqzl9PZ7wmCSOXL3Fpbhkujfy5Y1+HcgrLiEpK5fErDwWHQjjq82HmPf8ANzsdW/QDZCTV4hKpcbRXv/gDtCtXQA/LznEhp3hWsEdoG2AD5O7teTn3SdpWsedoS210ystjI15JrgxzwQ3Jq2wgN03rnMiPo5ipRKVrKZMrUalVtPcw4NgZxeCa7nQwMkZM6PKp49kWWbtyUt8tekQFqbG/DZpMK38vCtsu33/ZX5bfoTu7esz+ZkOFba5Ky05m4Xf7SS4WW2RIVMD6QzukiQZAPOBbkACcEaSpM2yLEc81M4KmAac+ic6Kvyz8nOLeG/y/8jJKuSrP1/Axd1O5zXhV+L56PttZOcW8f603jRrVHHAeVBMWhYbT19hS1gEqbkFSBL4ONnz6cju9A8NRJIkXLDC984KSydrC95avoP+Xy5mfMdQXugcinkFW8c9yMTYCDNTIyJvpOj3y99hZmpMs0beRN6s/LoXu7XkaGQsSw6dY0iLhlVOWTmZWzAmqBFjgvSvg/OwrPwiZq/ew4ErN2jl58WcUT21pmHu2n3kKl/8sotmjbx5++WeVU5nFReV8tGrf4EM02cP1PuBufD00Gfk3hy4LsvyTQBJklYCA4CIh9p9AnwFvF6tPRT+ccVFpcyeuoz4m2l8PP8Z/BpU/VBNpVKzdMMp/lx1HDdnG377fHSVI3ZZljlw5SaLD4RxPiYRhSTRNsCHtwY1oLWfd5WbY3cJqseWWc8yd9tRFuw9xYbTl3lnUCe6Blc+j2xuZkzPjg3YuvcSk59pj72tfnVooHzv17z84krPKxQSA5oF8snafUQlpePv9s9lBZ2MiuPdFTvJLCji9f7teaZd00oD9oad4Xy3cC+NAz35fNbAKtM/ZVnm+w83cuNaErN/GIObl1iNWhPpky3jDjy4nUzCnWP3SJLUBPCUZXlrVTeSJGmSJElhkiSFpaVp7x4v/P9Tlqn4/I1VRITH8ebnQ2naqup89sKiUmZ9voGFK47RubU/f34zrsrAfuZ6PGN/WsWrizaTnlfAjD5t2fvBBOZPGEi3YN8qA/tdLnZWfDm2F0unjsDJ2oLXl27jpI4NPob1bkqZUsWm3Rd03v9BVpam5BWUVJnt0i3IFwOFxPYHFjZVp8KSMr7ZfJhJC9ZhYWrCX9NGMb5DSIWBXZZlFq85wbe/76V1SF2+eXewzgyhtYuOcnDHRca/0kXvTCjh6aPPyL2iocK9//MlSVIAc4Fndd1IluUFwAIoLz+gXxeFf4osy3z/0UZOHY7klXf70b6H9hzyg9Iz83ljznpuxqbx2sSuDOzRqNKv81cTUvlh+1GORcZSy8aSj4Z3o39oYJUrJHVp7OPGn5OHMfanlby2ZCsrpo/Gy7Hih7de7va0aOLDxl0XGDuohV4bdgNYWZigUqkpKi7D3KziDx47SzNa+nmzMzyK6X3aVuuUxq4LUXy16RCpOfkMaxXEG/07aO2mdJdaLfPT4gOs2XaOHh0CefvlHhjq2Hrw9JFI/vxhNx16BjFiQtVz8sLTTZ+/tATgwZwyDyDxgZ+tgIbAQUmSYoCWwGZJkvQv3Sf8K9YvOcbezecZO7kzfUdUvXjlVnw6L769nISkLL58ZzCDejauOL0vJ5/3Vu5ixPfLuRyfwuv92rP17ecY3KLh3wrsd1mYGvPj8/1RSBLPzl/NxdjKN9ce3ieEjOwCVm7R/9l+8Z1NwMvubMJdmdA67iRm5ZKSo3sjcH2duR7P60u2YW9hxpJXhvPB0K6VBnaA5RtPs2bbOYb3DeHdV3rpDOzJt7P46q011PF3YcaH+qW4Ck8vff7azgC+kiTVliTJGBgJbL57UpblHFmWHWVZ9pFl2Qc4CfQX2TJPtmsX4/nzh9206RLImJc6Vdn2QkQCk99dgVKpZt4nI2nZRHvXoKLSMn7ZfZK+Xyxi+7lInu0Qwo53nmd8xxBM9UinlGWZEqWSEqXuSpKeDrb8+fIwjA0NeHb+GjaduVJhu+aNfejUyo+FK45yJaryD4G7lCo1W/ddomlDT2x0lDc+FhmLj5MdtWweLSOnKgv3ncHBypyl00bSpHbVzz2uXU9m4cpjdGrlx9RnO+pcC6AsU/HFm6tQyzLvfTcKU3Pd02HC003nX50sy0pJkl4BdlGeCvmnLMtXJEn6GAiTZXlz1XcQnjR5uUXMeXMVjs7WOhcpnbkQw6zPN+DiZMO37w/B1dlGq83JqDjeW7mLlJx8ugXXY0bfdng6VDxdUlRWRljSbU7Ex3P6djxphYXkl5aQX1pKmVqNQpKoZ2dPoJMzgU7OBDnXIsTNHUOF5jjE19WRldNH8/qSbby3cjfFZUpGtNbMSpEkiTcnd+fq9WQ+nLuVnz8diVMFOy/ddeR0NKnpecx4oUtVbx+3M3MIu5HA1F6tq230G5GQwvGoWF7t3Ubnh2FJSRmf/rQdextz3nipu159WPzTHq5dSuCdb0bi6qHfXrXC002vPHdZlrcD2x869kElbTv+/W4J/xRZlpk7ewMZqbl8u3gillXksl+ISOCtLzbi6WbPjx8N1xrNqtUyC/ad4uddJ6jtbM+iMcMIraudH16iVLIp8iobrkVwPimJUrUKQ4WCRrVcCHF1w9LYGEtjEyyNjSlWKolIS+VEQjwb72yIUcfOjuktWtPb119jGb6thRm/TBrE9EVbmLP+AK521rSvr/mtwsrClA9n9GXGx2uY+NZyvnx7EP6VPABeu+08rs42tA6peqOKrWfLH6T2baq9R+njWnQgDAsTY4a31l0LZ8GKo8QkZPLte0OwttS9O9aZI1GsXXyUPsOa0757w+rorvAUECtU/2N2rAvj+L4IJr7Wk4Dgypfn34xL540566nlaM33s4dqBfaC4lLeWLadI1dv0TckgPeHdMX8oSyNrKIill+6wJKL50kvLMTX3oHxjZvQysOLZm7uWBhXPTWQVljAyYR45p8+ybSd2/g57DRTQlvQs57vvR2IjAwM+PqZ3jw7fw2vL9nGkleGE+CuuWy/ob8bv3w2mjc/X8+U91Ywe3pf2jW/nxVUUqpk9+EILlxN4JXxHbXquj+oVKlk05krhNb10HtRlS4pOfnsvhDN+A5NsTarOlhfu5HM6q1nGdijES0qmB57WF5uEd+8t5bafi5MeqNXtfRXeDqI4P4fUlxYypJ5ewkK8WHwuDaVtyspY/Z3WzAxNuT7D4dhZ6OZJ56Wm8+UhZuISkrjvSGdGd5KsxZLUVkZc08eY9mlCxQrlXTw9mFC01Bae3g90jSGk7kF/fwC6F3Pjy1Rkcw/c5KpO7cS5FyL3/oOuLcTkbmJMfNeGMCYH1cyZeFGlk8bhYud5vRLPR8nfv9iLG99uYF3vtrIpNHtCPR1ZffhCA6djCa/sARPNzv6dqk6Y+jbLUeIz8jhrUFVP6d4FAoJZGTMdCzOArh2IwVZhmcG61e9cf/WcHKyCvnk5/GYmIoNr/9LRHD/D9m4/DjZmQV88P2YKoPsj4sOcCs+g+/eH4rzQ3PUGXmFPDd/Dam5Bfz0/ADaPTQNcik1hZm7tnMjK5PBAYFMDGmGv4Pmfp4PU6rVlKjKKFYrMVEYYmmkWVvFQKFgYEB9+vn5syUqkg8O7GXgquUs6DuQ4FouADjbWPLzhIGMm7eKyQs3sOSVEViZad7Hwc6CeR+NYM78nfy2/AgAZqZGdGjpS/d2gTQN8qoyo2f/5Rv8dTScse2baE3//B1O1pY08XFjz8VoJlewRd6D8gvKF1jpeuAL5VNwO9aF4dvAXefCNKHmEcH9PyI7s4DVfx6hRYcAAhtXXoTrwIlINu+5yJiBzWne2EfjXH5xCZMXbiAlJ58FLw7WyOhQqdX8evYMP5w6jqOZOUsGDqWtl3Y5gvTifI6l3uBY6k1Opt0ks6QA1UMLhupZOdHUwZMmDl6EOHjhaVFeCuFukA9wdGTilo2MXLeKb7v3olc9P6D8Ievc8f2Y/PsGXl+yjfkTBmoFaxMTIz6c0ZcJI9sSHZNK65A6epUFLiwp5bN1+whwc2Jmn+rfgq5bsC9fbjrErdRMajtX/sAzL78EI0MDTIx1/+lGRyQSE53C1Pf7V2dXhaeECO7/ESsWHKS4qJQXZnSvtE16Vj5f/7qH+r4uTBylOW1TqlQyfdEWohLT+PH5ARqBPbUgn1d2bCUs8TZ9fP34pFNXbE3vjyyVajXrYs+x6tZZruYkA2BnbE5r5zp4mNtiYmCEqYEhxgaG5JYWcz4znh23r7A65hwAbZzr8nrDrgTYlI/SAxyd2DBiDC9t3ciU7Vt4rVVbXg5tjiRJtPTz4v2hXZi9eg9ztx3hjf7aC3UkScLTzQ5PN931c+76fd9pUnML+HZ8X4x05JM/jq53gvvuC9G82K3yKZf8whIsLUz0mt46uvcKCgOFzsVpQs0kgvt/QF5uEdvXnqHbgKZ41dGuEX7XwhXHKC4p4/2pvbUWxPy65xSnrsczZ1QPjSmJgtJSnt+0npicbL7r3osB/vU1Ak94ZgIfh2/jak4yQXZuzAjsTBvnutS3ddXagOJBalnmem4qh5Kj+SP6OEP2L2BM3eZMq98JSyMTHM3NWT54OLP27eLbE0exMjZmXKPyDUIGt2jItdtpLDl0jrYBPpVWUNRXel4BSw+do29IAI19Kt+q7u9wsbWiaR13Np65wgudm1U6PaRSqZFlGVmWdQb4qxfi8Gvgrld1T6HmETsx/Qcc2X2ZslIlfUc0r7RNcmoOOw5eoW+XILzcNacFIhPTWLQ/jP6hgfR7YKNqtSzz2u4dXMtIZ16vfgwMCLwXcLJKCvng/BZGHfqDzJICvm8+jFUdJjDJvx0N7NyqDOxQvv+on00tJvq3ZVf3qYyoHcKyG6fotWceexPLUxFNDA35rntvOvrUZs6RQ1xMSb53/cx+7fBytOWTtfsoLtO9MKoqfx0Jp1Sl4sVuVc+HA5SpVKQW5JNXUoLqodr0uoxr35SEjBz2XIyutI1fHWeyc4tITsvVfUMZjE3E+O2/SgT3/4C9m8/jVdeZevUrH3Uu23gaSYIxgzQ/ACsc0QoAACAASURBVFRqNR+u3oO1uQlv9G+vce7bE0fZffM677brSEef+6P56NxUBu3/lfWx53muXiu2dZ1CD/dArZGmUq0kryyPtJJ0EgoTuJ53nbjCeNSyZlC0MTbjg8Z9WN1xIs5mVkw7tYqNceUFwRSSxLfdeuFgbs7UHVvJLSl/4GhqZMj7Q7oQn5HDb3tOPvqbdkd+cQkrj12ga1A9fJyqnsa5mJJMt6WLaPnHbzT6bR6+8+YSMP972i5awPboSJ2v1alBXWo72/PH/jOVFi5r6Ff+3/ByZGKF5x8kKSRktSjh9F8lPtZruMS4DCLC43hhuvbOQXelZeSxbd9lenVsSC1HzdzttScvcTk+hS/H9MLW4v7X+w1XI/gl7DSjGgbzbKP7+6WGZybw0vHlGCkMWdVhAg3sND9Q1LKaK7kRHE8/wdms85SoS7T6Y2NkTZBNQ4Jtgmho0wALw/JUzIZ2bixr9xxTTq7knbMbARjo1Qg7MzPm9erLiHWreHPvLn7p3f/e/Hv/0EAWHzhLryYB+Ln+X3vnHR5VtfXhd08mZdJ7b4SQEHov0qsUKYoKKopix97utd6LevWqeLH3jl0UFBQUUTqEXgOppPc+aZNJZs73x4QkQ2aSgQ+BxP0+Dw+Tc3bmrJxMfrNn7bV/q/2qHUt8v+soVbp6Fk8YanWMoih8evggL2zfgq+zC0+NnUCj0UBtQwN1jY3sys7i7vU/c012Fk+NHY+T2vICrkolWDxhCE99u4HtiRltKpEAoiL80DjZk5Ccx5Qx7W+iUglBwxl+epB0HaS4d3E2rTuMEIIJM603jFj5ywGMRiMLT5u119breWP9ToZFhzF9YGzz8ZTSUh77YwMjQ8NYOm5i85tGUmUhi7evwNfJlY9GXd9c5QKmWfqW4q38nL+eMn0ZznbOjPAZTphzKE4qR5zsnHBUOaJt0HKk8hgHyw+xvWQnKlRcHjqHWUEzEUKgUdvz1ogFzQLv6aBhfGAMA4OC+eeosTy3bTPfJhxlQR/TTs+HZ41l6/GT/Hf1Jj5ZctUZ3TtFUfh820GGR4fRJzzQ6rjnt2/ho4P7mdytOy9NudRsMRlMqZrl8Tt4b/9ejhYW8NW8+bha2cA1c1BP3vptF59u3m9R3NV2Knp2D7R55m6U4v63RYp7F+fo/gyiYgPxDbC+m3LrnlSG9I9o0/t0w+EUKmt13HXpSLNZ//L4HTio7Xh92mXY25kWXusNjTyybxUuage+GHsT/k4t9fF6o57XU97iaOUxerhGc234fPp79sdBZXkGO9pvFEbFyMnqk/xWuJEfclZTXF/CooiFqFXqZoG/dutHPHlgDT9NuhMfRxcWDxjEr6nJvL57F5f37IWjWo2Xq4ZbJw9n2Zot7D+Zw+CotvYI1sgr11JUWc3tk62vVSQUFfLxwf0s6N2X5yZOsfjpyN7Ojn+OGsuQoBDu+OUn7ln/Mx/MmtvGLwfAXm3HvBF9ePu3XRRWVls0JuvVI4hvf96HvqERh3Z8aNw8NBTlV9j400q6GjLn3oUxGIwkH8slrh2bgdyCCnLyyxkxsK2fyo97E4j082Jgt5bUSmpZKb+lpXDTgEH4ODs3H1+esJEUbRHPD55rJux1hjr+l/QqxyoTuDHyBp6Ie5Sh3kOsCvspVEJFtFs0S7rfzuzgy9havI1XU96gzlAHgEZtz0tDrqCqQcdTB9Y0V4/cN/wSCmqq+TbhaPNzXTWyLwEerrz00xaMZ5CDTsw1NZSJDbFcYaQoCku3/Im3RsOjo8d2WL0yKao7z06YzJbMdF6J32F13NR+MSgK/H442eL5Xj0CaWw0kprRfsMb3wAPSgq17TYekXRdpLh3YbLTi6mtqSe2r/XZavzBdIA2Nr5ZJRXsP5nLnKHmC6HvH9iLk1rNolZ59j0lGaxI2811UUMZE9Di2VLTWMuyxOUkV6Vwe9QtTPAfd8YuikII5oVezuJuN5JQeZznT7xImb4cgB7u/jzYezKbCpJZl2uy/R0VFs7goGDe27+n2T5Y42DPfTNHczyniJ8PnLD52sl5xQgBPQIt5+r35uWyPz+PB0eOxt2xYwMvgAV9+jEnNo5PDh2guLbG4pioAG+6B3izOeGkxfM9o00pohOpBRbPn8LH3516XQM1VdbbBkq6LlLcuzBJR3MA2jUI230wnZBAzzYben7cm4BKCLPSx/yqKn5KPMH83n3x1phm7QbFyPOHfyXY2YOHek9pHlvTWMOLicvIqM3krug7GenbcRnhqfptS4zzG8ODMfdRpCvihRPL0BlMgrWw+zBi3QN4JeEP9IZGhBDcM2wk+dXVrEpsafM7c2BP+oYH8tov26mtb+gwFoDEvGIifL3aGKKd4s/0NOxVKmbFnFmrunuGjUBvMPDhAestD8b37s7+k7lo69oKs7+PG96ezpxIbd+j3tfflIorKbShbFLS5ZDi3oXJSC3E0cmekAjrDZCPJuUxqE9bO4LtJzIY0j3ULOe7PjWZBqORG/sPaj52oDSbJG0h98RNQNOqCuTH3DVk1WZzf497GOI9CEuU1x8nteJLDhQ9y5bcm/g5YzzrM6eSW/2HxfF9PftwX8w9FNYXsrXY5A1jJ1Tc12siubUVbCk01YePCY8gztePH44fa/5elUpw7/RRFGlr2JGUYfV+tKakqrbdZhzpFeVEeHhaXRy1RpSXN2PCI9iSkW51zLDoMBqNRpLyStqcE0LQPcKPzNyydq/j7WuKvay06ozik3QNpLh3YUqLtPgGeKCysHAHUKGtpapaR8Rpm5YaDAZSC0rpHWqea96Xl0uouzsRni0Lr5sLkrEXKiYHtcxeaxpr2Vy8lVG+l9DP0/LW90ztGjblLORI6cvk1fyJQEWo61Sc7PzYXfgwuwv+Sb2hrXj1co8j2rU7Gws3NdfDjw7ojoe9E3/kmWrJhRBM7BbF4cKC5rp3gMFRITiq7TiY3nGlCYC/uwvFVZZTJwAhbu7kV1edVU7bW+NMbaP1TxDerqaKG22t5ZSKu6uGqg7SLW4epk9X1VqZlvk7IsW9C1NSpMXX33rnoYzsUgAiw8xn9ulF5TQYDGYLiYqisC8/lyFB5u6Cm/OTGeIbaebkuKs0Hr1Rz5QAyx2NMrVr2F+8FH/NcGZEbOSybpsYG/IRA/2eYHzoZ/Tyvpv8mk38njWPnOrf2ojnZP+JFNYXklBpSrvYq+wYFxjD5oIkGoym3qejwyIwKAq7crKbv89ebUffiCAOpudavSet8fdwpaidHqlhHp7UNDRQVldn0/O1RmNvT107O2dP+bpbFXc3J6pq2u4RaI2bh+kNoqqy9ozjk3R+pLh3YUoLtfi0UwKZkWMS926niXtSXlOVSHDLQmJmZQUltbUMDm4R98zqMk5WlzAhKKb5mKIobCraQqRzBJEubT1dMrQ/NQn7CEYGvoKT2vzaKmFPT6+bmRj2NS72IewpfJST2m/Mxgz1HoKHvTsbi/5sPjYlOI7KBh37SjIBGBgUjLO9PduzMs2+d2C3YE7kFtmUdw/wcKVap6e2Xm/xfLiHqeVgVuWZlxtq1Gp07czcPZybxL3OsoC7uThRVaNrt/rnVJetqsozf/ORdH6kuHdRFEUxzdwD2vY8PUVmbhkaJ/s2nu1pBaWo7VRE+rWkaw4VmCozBgW1lEXuLEoDYGxAj+ZjOXW55NTlMM7f3KoAQKtP40Dx003Cvhw7lfUKE3eH7owL+ZQA59EcK32dRmOLQKlVasb7jeNwxREq9JWAyTnSyU7NlgJT3t3Bzo5hIaHsbjVzBxgQGYzBqHA8p9DqtU8R6Gm6L+lF5RbPd/M0LUJvOJna4XOdToPBgN5gsHreqcnSt0pnWdxdnR0wGhV07bxJOTrZY++gplorxf3viBT3Loqh0Yih0YhGY32xr07XgItzW/vYap0eNydHM2fCU7lrP+eWrkxl9aZ8dKhLSw7+VJliuKZt+WWp7jCgMMDvsXaF/RQqoSbS7XIMig6t3rwssIdbNAoKhfUmkdao7Ql19iK3tmUWHenhSUGNeVrFq8lCwdpsvDUjYyJwUNuxavcxi+e7eXpxRc9evLd/L2uTEzt8vlNo63WsTjzBhG7We7WeLDStN0T4Wm40Xl5Zi4O9Xbte9I0NBhr0jWicz2zBV9I1kOLeRTEYTIuNdmrrv+JGg8GitWxDowH7047rmmrGndQtOyJrDQ04qtTYiZaxtY0mwXdWm7fmA9DqU1ALZ1zUtncFcncwCWCVPs3suI+DKZ1TUl/afMzPyY1iXYuYe2ucqdbrzWbIdirTG1mjDZuZvFw1zBjYk7X7j1ssSRRC8NzEKQwNDuGR33/lQL5tC7WfHjpIlb6ee4eNtDrmSKapzLFfRJDF8wXFWgL83FGprO8bqGqasbt7tv1dSLo+Uty7KM3i3k7buIYGYxvfdjClDE5vSFFvsCDujXqc1eazwhqDafHORe3M6VTWp+Du0B0hbH/ZudiHosKeqgbzskEfB1PKqFTfIu6+Tq4U17eU/XlpTLP0Cl1LWuJUY21bPVeuHT2AOn0jq/ckWDzvqFbzzszZBLm6cfvPP5JdWdnu8/2cnMjbe3czJao7vfyse+sfzszH09mJcCsz94JiLUF+1lNuAJXlpjdaD6+2vwtJ10eKexfFFnE3WJm56xsNzZ4xp9A1NmInhJkfSl1jQxtxrz0l7nbms0VFUdDqU3F36MGZoBJqXB0i0Z42c3e0c8RN7XbazN2VYl11c3WNV5OBV+tqllPxN9oo7nGh/gyKCuHr7YdoaLScI/fWOPPR7MtpMBq5ec0q9uXltnn+0tpaXt65nXt//YV+gYG8OPnSdq97KCOffhFBVnf05hdVEuBnfbEcQFth+l2cKomU/L2QxmFdlFMzb53O+oKbg4Oaen3b8472dtSddlyjtsegKNQ1NKCxN+V5ndRqqht0Zl2BHFWmksiqxiq8HMx3vapVrpTXH0dRDAhhW6s6RTHSYKxCCMsWCgot6RV7ocKoGFEAQesUTIvQ1jTl2p3aMdw6nVsmDmXJhz/y4k9beHLeRItjory8eXfmHB78bR1Xf/8N9ioVkZ5edPfyxlGt5tfUFOoNjcyO7ckLk6Zatf0FUyPu9KIyrhll2cnzZFYJFdo6oiP92o07P9uUt2/PNE7SdZEz9y6Kk7MDzi6OlJdYr9MO8HWnqLS6eZZ/imAvd4q1NWYz1VOVIRkVLZUjPT0CqWzQkVfXkoqIcTPNzBOrzE2vhBD09r6LSn0imVU/2/xzlOmOUNdYQIiLec28tkFLVWMVIZqW6p1CXRV+Tm7NXZ5Ozdh9NC0z15xSU6xhPpbTHZYYE9eNm8YP5tudh/nRSnoGYERoGL9ffxPLpkxj8cDBRHp6klRawqaMk1wR14vfrruRVy+d2a6w19br+e/qTfQI8uXKkZY3gP2+7QR2KsGEkTEWz58i8Wg2Lm5O7e5QlnRd5My9C+Ph7YK2wvoOywBfNwwGI2UVNfi1KocM9vbAqCgUVFQR1pTzjfIyiXtaeRlxTbniuKaG1ScqCghxNo2LcA5HY6chSZvESB/zRs+hrtNIq/yahLI3CXGdjL2q44W+nJrfUAlHglzMG13n1pkWL0M1rRp166rMHClLa01pCW9Ni796dpO4h/i0n68+nXtnmIzHnvn+DyL8PM0ahLfGxcGBeXG9z+i5W/P2b/EUVFSxbOGMNqkxMKW3Nm4/weB+EXh3sFCafCyX2D4hVncoS7o28rfehXH3cKaywvruxFM528ISc++RUG/T8dyyFsOpyKaZ+8nylpl7jHsAKgQnKlsMrFRCRYxrNIlVbdvKCSHo5/sI9YYSkss/6TB+g6Inp3ojgc6jsFeZe7zk1Jl2mZrN3OvMxb2srhY3B0ccWy0CZ5dW4O/uckZpGTA1yXj5hpkEe7lx3ydryS499z7pSXnFfLHtAFeO6MuAbpZbIh5LyiO/SNthFyZdnZ70lEJi+tjuXy/pWkhx78J4ertQVmzdNCrI3zR7zc4336QT2jSrTS9q8XbR2NsT5u5BQnHL5h+N2p4oN1/2lpjvAu3p3pN8XQE5tTltrunt1Jcw1xkkV3xGasVXFn1ZDIqedO0qNmbNo95QQoTb3DZjkrRJuKpd8bQ3fWLQGw3k11YQ5NySX86rrsLPxXwxMb2onFArFSgd4emi4c1b5mIwGrn5ne9JyW9r6nW2FGureXjFL3g4O3H/zNFWx6385QCODmrGDW9/YfrYgUyMBmO7Xv6Sro0U9y5MaDc/cjNLMVip8ggL8sJZ40BCsnl9dqCnGyHe7uxMNhftSd2i2JKZYWbGNTusH3tLMknWFjUfG+s7Gmc7DZ9lfIFBaXvtAX6PEeg8iiOly1iTPorteUs4WvoqWVXrSKn4nN8yL+Ng8bPY27kzMvBVglzGmH1/Xl0++8oPMM5vTPNC7u7idGoNDYz06w6Y0hf783IZENBSJ16tqychu4DBVlIqthDp58UHd8yj0WDkhje/ZWdSZsff1AF5ZVoWv/09hZXVvHrjrGbrgdPZeziDP3cmcd3lw3BuZ3MawK8/7MPd05mBI6PbHSfpukhx78JERvvToG8kL9uyNaydnYpePYJISDb3BRdCMLpnN3anZKFvbDG3mhMbh95gYH1qSvOxKyMH4WSn5vPU+OZjrvauXB+xkOTqFH7MXdPmuvYqV0YELmd00DuEuE6h3lBOWsVX7Ct6gqOly3G1j2BU0DtMCPmiTa4dYG3ez9ir7JkW2FJO+HveCZzVDlzib9r0lFJWSmldHcNDW2au+0/mYjAqjIhpa3F8JvQKDeCre68h2MudJR+u5sUfN1NWfebmXA2NBj76cy9zl31Gkbaad2+93Gouv17fyP/e30hokBfXzbXe9g+grKSKXZtPMGX2QBwc5LLa3xX5m+/CRPYwLXhmpBQS1s1y2Vzf2GA++yGe2jq92WxwbFwk3+48zL60XC6JNRmA9QsIJMLDkzVJpoYdAF6OzswO68dPWUd4oPckvB1Ni3yX+I4gQXuctXm/EOfek17u5jliIVT4O4/A39nUxMOoNFClzwAUPBytV4EU6ArZVbqbaYFTcbc35dcNipE/8hIZHxiDo53pJR3f5CkzIqRF3OOTs3BU29Hfyq7PMyHQy40Vd89n2ZotfLX9EKv3JLBo/GAWjRuEs2PH2/33puXw3A9/kFZYxoTe3Xl07niCva2XLH66chc5BRW88q+rcOxAsDes3o+h0cj0K4ee8c8l6TrImXsXJjzKD5VKkJ5ivR1b79hgjEaF4ynms/eh0WE4qO3YeqLF00UIwZzYOOJzssmtallsXRQ9kgajgXcSt5o9xw0R1xHoFMi7aR9QqGvfqEsl7PFw7NGusOsMOr7I/Aq1UDM9qGXWvrckkzJ9LVOCWzzld+VkE+zmRqh7i2DuSs5kUFQIjlYWU7XVOsoraygtr6GkrJqS8up2vdpdnBxYevUUVj9yPSNiwnn7t11Mf/4Tnvj6N1bvSeBQRh7aOtM+gPxyLZuOpfHOhnju/GA1i99eia6hkTcWz+b1xbPbFfa9hzP48sc9zJjQm6H92zpttqaxwcD6H/bRf2g3QiMttweU/D2QM/cujKOTPd1iAjmy13rHn349Q3B0ULN5VzJD+rUIh8bBnvG9o1iz9wR3T7sEVyfT5qSrevXhnX27eW33Tl6aPA2AKDdfFkQN4YuTexjoE8aM0D6m69s5cnf0Hfw3cRnPHn+e+3vcQ7Tb2eWAc2pzeDP1XQp0BVwfcS0e9qZFX0VReDtxC94Ozs3ulKW1tWzKOMnVvfo05+QTsgtJKyzj6kssbwz6dOUuPvymbdPqQX3CePi2KYSf1tCkNVEBPrx64yyOZObz5bZDrDuYyJp9LS3+nOzV6Jq824WACF8vbp08jFsnDUPj0H6j8ANHs3j0hR+JDPXh/pst++O35scvd1GYV8GSx2d1OFbStZHi3sUZNjaWbz/cQlVlrcVt6M4aB8aPiGHj9kTuuWmC2Uf+mycOZcPhFL7deYSbJ5o+4oe4u3PTgEG8f2Af83v3ZXBT845/9r2UpMpCHt//ExEu3vT2MpXyhTqH8lSvx1me9CrPnvgv4/3GMSt4Br6Ots8qtxVvZ0Xml2jsNPyz58PEubfM0H/KPsLekkye7D+92Qrh24Sj6A0Gru/X0sR7ZfwRnOzVXDa4bb/TpJOFfPLdTi4ZHMWIQd1QCYEQgsqqOr76cS+LHvyMhVcMY+Hlw9tNifSLCKJfRBDPGy8lt0xLelEZ6YVlFGqrifTzIjbYj5ggX5vSNgAHjmXxyPOrCA7w4LWlV3W4iFpcUMEX7/zJ8HE9GT421qZrSLouNqVlhBDThBBJQohUIcSjFs4/KIQ4LoQ4IoT4QwjR/mdHyXlj2JhYjEaFfTtSrI6ZPqE31bX1bN9r7kveKzSAUbERrNhyoHnmCXDPsJEEubrx5J8baWhyXHRQ2fHa8KvxdnThrvhvzNwZA50CeLrPv5gaMJntJTv4x5HH+Tj9M4rrrZcSNhgbOKFN5N20D/gw/RO6u0TxTO9/mwl7iraIZw79whCfCOZHDgGgvrGRz48c4pKwcHr4mHZmVuvqWXcgiWkDYps7HDVfp8HA82/+iqeHM0/dN4Mrpg1k7qUDmDO1PzfMG8GXry9m3IgefPLdLm586DP2H83q6JZjp1IR7uvJuF5R3DhhCP+cM575l/RnQGSwzcJ+KCGbfzy/iiB/d15bejVeHh1v+Hr3xXUoisKd/5xh0zUkXZsOxV2YTEDeAqYDvYBrhBC9Tht2EBiiKEo/4HvgpXMdqOTsiOkTgoeXM3u2JVsdM6hPOP6+bqzf1HZr/S2ThlFWXcsP8Uebj7k4OLB03ESSSkv49PCB5uM+ji68NWIB2gYd98R/2+wkCaCx03BdxDUs62+ave8o2ck/jzzOv449w+spb/FV5jdsKPiddfm/8nLSKyw5cC8vJC5jT9le5gTP4h89H8LToWVXaU2jngf2rMRZ7cD/hs1rNgRbefwYhTXV3DmkpaJk/cEk6vQNXGVhO/+XP+4hLbOYh2+bgptL2xJEHy8Xlj5wGcufuhKjUeG+pd/x/JvrqdD+Na3rFEXhxw2HefA/PxDg685rS+d3uBMVYPeWRHb8cZxrbhtPYKj1FJLk74MtaZlhQKqiKCcBhBDfAHOA5qSioiibWo2PBxaeyyAlZ4+dnYqhY2LZ+edxamvqcXZxbDNGpRLMGN+bFat2czKrmKjwlsqaId1DGdI9lHc3xHNp/xh83U1CM6V7NJO7ded/u3YwMDCYIU3t9+I8A3lh8Fzu27OShVs/4bnBc4hxb7G29Xbw5obI67gseDq/F/5Bdm0O+XX5HK08ht5oMvUKcgpinN8Yern3oqdbDM6n2Qdr9Tru3PUV6VWlfDT6+uZdqQXVVbwav5PBQcFcEmoqdzQaFb7ZcZjuAd70DQ80e56U9CI+/X4Xk0bFMmZY+2sBwwZEsmL5Ij79Pp6vftrL1j2p3Dx/FJdf2t+ibfLZkJVbxrL3fudgQjZD+0fw1L0zbBL2gpwylv9rNRHd/Zm3aNQ5iUXS+REddW4XQlwJTFMU5Zamr68HhiuKcreV8W8CBYqi/MfCuduA2wDCw8MHZ2b+/zeASDom6VgO9137Lrc/MoPLr7/E4pjKqjrm3/UhfWKCefnJeWbnThaWcvXyLxnWI5y3bp7TvEhZXlfHvJVfU6mr4/urr202FwPYkHuCpYd+prpBxx09x3JrzGjsVdZFUFEUqhqrMSpGsxn66RTpqrhtx5ecrCpm2dB5XBpi+hDZaDSycNVKjhYV8NOChUR7m1IyvxxI5NEv1/PiddOZMaglpVOvb+SWf3yOtlrHilduxMNNY/F6ljiZVcIbn25i7+FMIkK8WTB7CJNG9ewwJ26N2jo9X6/Zyxer9uDoqGbJ9eO4bFLfdhtxnKKmSscDN7xPWZGWV7643WrJq6TrIITYryjKkI7G2ZJzt/QKs/iOIIRYCAwBllk6ryjK+4qiDFEUZYifn3wRni9i+4TSd3Akq7/YYXW3qoebhkVXjiD+YDp7D2eYnYsK8OGBy8aw7UQ6K3cdaT7updHw8ezLEQgW/7SKguoWq4OpIXH8PHkJU0N68caJzVy9+QMSKszLLVsjhMDd3s2qsGv1Ot44sYkZv79Jdk0Z71xybbOwA7y+exd78nJ4dsLkZmFvMBh469edxAT5Mm2A+QLj+19uIz27lMfvmnZGwg4QFe7L8qeu5IVH56JSCV58ZwNzbnmHF9/5jeMp+e2WT56iXt/Ilt0pPPXyGmYtfptPvtvF+JExfPX6YmZP6WeTsBsaDTz/yLfkZpbw5PJrpLBLzLAlLZMDtDaoCAXa9BMTQkwGngDGKYpiuauv5IIxb9Folt77Bdt+T2D89H6Wx0wfyKr1B3nzsy18vCzcrNHHNaMGsPV4Oi+v3cqwHuFE+plm6ZGeXrw/ay43/vgDV678ms/mzKN7k7h6O7rw8tB5TA/pzdOHf+HKTe8z0DuMWWF9mRbSGy/HjptIVDfU83nabj5N3YW2QcfU4DjujZtAd/cWIduelclbe+OZF9ebK1o5Mq7ek0B2aSVv3jzHTCxzCypYue4Ac6b2Z/jAbmd2I5sQQjB6aDSjhnQnITmfNRuP8Pu2E6zdeBQfLxciQrwJC/YmLMiLAD83qqrrKauoobTCVEN/8Fg21bX1eLprmDGxD5eO60WfGMtmYZZQFIV3X1rH/p0p3PfvuQwY3v2sfg5J18WWtIwaSAYmAbnAXuBaRVESWo0ZiGkhdZqiKNbLMloxZMgQZd++fWcbt+QMMRqN3Db3dRyd7Hnjmzut2sD+sSORfy//mQdumcS86QPNzhVWVnPFshWE+Hjw6ZKrcW7VnDmhqJCb1qyi0WjklakzGBdpLpqV+jq+S9/PmuwjpFYVYy9U9PUKYbBvOD6Orvg4uuDt6IKCm7JYmgAAFKJJREFUQpq2mLSqYlK1xSRqC6lt1DMxMJa74sbRy9N8d+nRokIW/7QKb42G1fOvw7mpkYi2TsflL60g2NudFXfPN+to9OI7G/h1cwIr37kVX29zt8n/DzW19WzcnsixpDyy8srIyiunqtq896q7qxPens70jA5kyug4BveLsNgNqz2MRiMfvbKBHz7bzrxFo7n1oWnn7GeQXPzYmpbpUNybnmwG8CpgB3ysKMpzQohngH2KoqwRQmwE+gKnPndnKYoyu73nlOJ+/tm45iAvP/kDj7+8gLFT+1gcoygKD/3nBw4lZPPeC9fRI9K8z+fmhDTu+2QtI3qE88qNs8wEPquygtt//omk0hJuHzyUB0eMauNJrigKSdpC1mYdYU9JJomVBTQqbVveedhriHb3o4e7P1dEDKCvl7nnilFR+OjgPl7euR0fjTMrLr+yOR2jKAoPrfiZTcdOsuKe+WYLqYmpBdz66BfMmz6I+2+23FXpXFKhraW4tBp3Nye8PJxxOEOr4dOp1zXw8pM/sG3DMS6bP5wlj82Ufu1/M86puP8VSHE//xgMRpZc+SaNjQbeW3UvanvLC5zllTXc9PDnODna89FLC3FxNq+wWb0ngaXf/U6/iEDevHmumYuhrrGBZ7du5utjR4j28uae4SOZER3T3Jj6dBRFQdugo7S+htL6GhRFIcrNFx9HF6v9Q4tqqnl4w69sz85kavdo/jtxanMzbIDvdh7m2R/+5IGZo1k8scVfxWAwcsfjX1FUUsWXry/G1ULl0MVMRVkNT9/3BYlHcrjlwUu54oZRVu+RpOtyLhdUJV0EOzsVN947hdzMUjb8dMDqOC8PF5beP5O8wgpeendDmwXCy4f15uUbZpKQXcSNb31HUWXLhiUntT3PTZzCezPnoBKC+379helffsba5EQMFppSCyHwcNAQ5ebLUN8IhvlF4uvkalG06hoa+P74MWZ8uYJ9+bk8N3EK78yYbSbsmxPS+O/qzYyKjeDG8eav/7V/HOVEagF3LRrX6YQ9I7WQBxa+S1piPk+8vIB5i0ZLYZe0i5y5/81QFIWHFn1AYV45H619AKd2yvc+X7Wb977cxkO3TubyaQPanI9PzuK+T9fg5aLhvduuIMLPvCG2UVH4NTWZ13fvIrmslAgPT6Z2j2ZMeCRDg0PMOiS1F+/+/DxWJx5nbXIi1Xo9vf38WT51RvMO1FPsSs7k7o9+IibIlw/umNfshwNQXlnLtfd+THSEH68/fbVNwti68feFQq9vZOXHW/nmgy04uzqx9PWFxPWXDTj+zsi0jMQqxw5k8PCNHzJrwXDuasdgymhU+Mfzq9h7JJOnH7iM8RYaMh/LKuDOD1ZjMCo8cNlo5g1vW599SuS/OnaEvbk5NBiNOKnV9Pbzp49/AF5OGjydnPDSaFAhyNZWkq2tJKuygrSyMgpqqtGo1czoEctVvfowNDikjeiu3Xecf333O5F+Xnyy5Co8XVpm80ajwqMvrGbv4Uw+fvl6uoW172tjMBhZt3IvX7zzByqViuBwH4LDvQkJ9yG6VwgDh0dhd442LrXH4b0neePZNeRklDBuWl/u/OdMPH3O3QKwpHMixV3SLu8tW8fqz3fy79euY+QE6/04a2rreeg/P3A8JZ9H77yUGRPbLsTmllXy5Dcb2JeWQ/+IIJ66chKxwZZrrmv0evbk5bAtK5MjBfmklJVRpW9bOeuj0RDq7kGYhwfjI7oxtXsPXB3afsowGI289/tu3tkQz7DoMJYvuqxNJ6OPv9vJx9/utFgBdDpJR3N487k1pBzPo//QbgSEepGfVUZuVmlzy0IvX1cmzujPlDmDiOwR0O7znQ3JCbms/nwHm9YdITDEi7ufmMWQ0datkCV/L6S4S9pFr2/kgYXvUZRfwdsr78Yv0Pqu0DqdnideWsOewxnce9MErr5scJsxiqKwdv8J/rd2K5W1Oq4dPZA7p47ATdNxbrvBYKCiXkdFnQ6DYiTU3cOikJ9+vW0n0nl13Q5S8kuYM7QX/75yMvanzag3bD3OM6+tY/r43jx+9zSraZaaKh0fv7qBdd/vxcvXldsfmcHYS/uYja+rredgfBob1xxk99YkDI1GouOCuWRSHMPGxNK9Z9BZp3HqauvZvO4Iv6zcS+qJPByd7Jl73UiuuW18u6kzyd8PKe6SDsnJKOHu+W8THRfEix8ubjfVoG9o5JlXf2FzfAqL51/CTVeNtChklbU6Xlu3ne/jj+Jkb8+MQbFcNaIvvcMCLTzr2XEoI49XftnOgZO5hPl4cM/0UUwbENMmnsMncrh/6Up6xwbxylNXYW+lOshgMPLEHZ9yZF8Gc64dwcI7J+LiarmP6SkqymrYvP4If/5yiORjuQD4+LsxdHQMfQZHEhzmQ1CYN57elqt+ykqqSD6WS0pCLsnHc0k4kEltTT2RPQKYedUwJs7sj4tb+zFI/p5IcZfYxJ+/HOKlx75n1oLhLHnssnZnno0GIy+9u4F1fx5jxsQ+3L94olU/lRM5RXy94xC/HkqiTt9IXIg/0wfGMjauG938vW3aXt+a9KIyNiecZHNCGgfS8/Bxc+aOKSOYN7xPm9k6QPLJQu5/eiUe7hree/5a3NuxGPjg5fX8sGIHDz5zOVPntv1U0hFlJVXs25HCnq1JHNiVSm11S5rJxc2J4DBvDAYj9boG6usa0NXpqa4ybW5SqQThUf7E9Q9jytxBxPULu+CLuJKLGynuEps5JW7XL5nIdXe0v7HHaFT4+NsdfPZDPIF+7jx+93QG9rZevVFVV8/P+0/wffxR0ovKaTAYcNc4MrBbMAMigwn19sBN44i7sxPuGkdUQlCkraa4soZCbTW5pVp2JmWQWVIBQM9gP6YNjOWaUf2teqMnJOfz0H++x0XjwOtPzyck0NNqfGu/2c1bz69l9jUjWPLYZTbcrfZpbDCQn1NGfk4ZeVll5KQXU5Bbjr2DGkcnexyc1Dg5ORAY6kVM7xCiewbj5CzTLhLbkeIusRlFUVj+r1X8/tNBljx2GbOvGdHh9xxJzOW5N9aTV1jB1TMHc9u1o3F0tN4yTlEUsksrOXAyl4PpeRxIzyWjuLzD62gc1AyKCmV8ryjG9epGkJf1XqONBiNfrt7DJyt34u/jxutLrybQ3/pawu4tiTx935cMHRPLv1691sxLRyK5WJHiLjkjDI0G/vPQN+zadIJ//PdKJs5sW9d+OnU6PW9/vpXVvx4iPNibW68dxbjhMTanXCprdRRrq6mqq0fb9M9oNOLn7oq/hwv+Hq64OTnalKY4mVXC82+uJzGtkEmjYnnglkl4uls3Jks5nsvDN35IeJQfyz6+Rc6eJZ0GKe6SM0Zf38CTS1ZwbH8G9y+da3P+ee/hDP73wR/k5JcTEeLN9VcMZ/KYuDM2xDob6nR6Vv5ygE++24WLswMP3TaZCSPb7x9alF/Bfde9i72Dmle/uB1vX7e/PE6J5FwhxV1yVuhq9TzzwJcc2JXGglvHccNdk2wypjIYjGyOT2bFD7tJyywmyN+D2VP6cem4Xvj7nHvxLCjWsurXg6zdeJSqah3jR8bw0K2TOuw1WlKo5ZHFH6KtqOV/n976l9SpSyR/JVLcJWdNY4OBN/6zht9W72fctL48+MwVODpZz6e3xmhU2LEvjW/X7uPQ8RwA+vYMYeIlsYwdHk2Ar/WceUdUaGs5lpTHr1uOs213CgowdngPrpoxiP69Qjv8/tLiKv6x+EPKS6p5/r0b6dlPbuOXdD6kuEv+XyiKwvefbufjVzcQ2zeUJ15e0O5GJ0tk5ZWxaWcyf+5MIi2zGAAvD2e6R/gRHelHdIQfPl6uuDg74KxxwEXjgFAJtFV1VFbpqNTWUVpRQ1JaAUeT8sjOMy3Aurk6MWtyX66YNpBAP9veLMpLq/nH4o8oLqjkuXcX0XtgxJndEInkIkGKu+ScsH1jAsse/x61vR23/2MGU2YPPKs67MycUnYfyiA1s5jUjGIyskvQN1hu+Xc6nu4a+sQG07dnCH1ig+nZPRBHB9t90ctKqnjs1k8oyC3nP2/fQN8hZ9d9SSK5GJDiLjln5GWXsvypVRw7kMmwsbHc+9QcfAPOPr0CprLFnPxyKrV11NTVU1vXQE1tPQajEQ83jemfuwZPNw2+3pYtgG3h0O40XnxsJbXV9Tz9xkLZjk7S6ZHiLjmnGI1G1nwVzyev/47a3o7F901l6uWDsP9/dhb6qzAYjHz17ia+en8zoZG+PLZsPlEx584CQSK5UEhxl/wl5GWV8sq/V3N0fwb+wZ4suGUcU+YMvKhEvqRQy4uPfcfRfRlMmTOQux6bJevYJV0GKe6SvwxFUdi3PYUv3vmTpGM5+Ad5MP/mcUyY2R/nC9jhqCC3nFUrdvDb6v0IIbj7yVlMntW+xa9E0tmQ4i75y1EUhf07TCKfeDQHRyd7Rk6IY8ZVQ+k7OPK8GWBlpxfzzQdb2LT+CCohmDCzH9fcOp7gcJ+Ov1ki6WRIcZecNxRF4cThbP78+RCb1x+hukpHaKQvYy/tw/BxPYmOCz7nvi2lRVq2b0xg24ZjJBzMwsFRzYyrhnLF9aPOuGRTIulMSHGXXBB0dXq2bjjGxjUHObI3HQB3T2cGjuhO/2FRhEf5ERrhi4cVn3NLGI1GCnLLyUgpJD2lkIO7Ukk4mIWiKER092fspX2YedUw2YJO8rdAirvkglNRWs3B+DT270rlwK7U5jZ1AK5uToQ0ibyTxh4nZwecNA7YqVTUVOuora6nplpHVWUdORkl6Or0zd8b2SOAMVN6M2ZqH8Kj/C/EjyaRXDCkuEsuKhRFoSC3nJz0EnIzS8jJKCE3q5Sqyjp0dXp0tXp0dXoMBiMurk44uznh4uqIi6vpTSCyRwDdegQQEe2PxvnCLdpKJBcaW8X94qlfk3RphBAEhXoTFOrN0DGy2bNE8lcjuxNIJBJJF0SKu0QikXRBpLhLJBJJF0SKu0QikXRBpLhLJBJJF0SKu0QikXRBpLhLJBJJF0SKu0QikXRBpLhLJBJJF0SKu0QikXRBbBJ3IcQ0IUSSECJVCPGohfOOQohvm87vFkJEnutAJRKJRGI7HYq7EMIOeAuYDvQCrhFC9Dpt2M1AuaIo0cArwIvnOlCJRCKR2I4tM/dhQKqiKCcVRdED3wBzThszB/is6fH3wCRxvtrwSCQSiaQNtrhChgDZrb7OAYZbG6MoSqMQohLwAUpaDxJC3Abc1vRltRAi6WyCBnxPf+6LnM4Ub2eKFTpXvJ0pVuhc8XamWOH/F2+ELYNsEXdLM/DTTeBtGYOiKO8D79twzfYDEmKfLX7GFwudKd7OFCt0rng7U6zQueLtTLHC+YnXlrRMDhDW6utQIM/aGCGEGvAAys5FgBKJRCI5c2wR971ADyFENyGEA7AAWHPamDXAoqbHVwJ/KheqxZNEIpFIOk7LNOXQ7wZ+A+yAjxVFSRBCPAPsUxRlDfAR8LkQIhXTjH3BXxk05yC1c57pTPF2plihc8XbmWKFzhVvZ4oVzkO8F6yHqkQikUj+OuQOVYlEIumCSHGXSCSSLkinEHchhLcQ4nchRErT/14WxgwQQuwSQiQIIY4IIeZfgDg7jU2DDbE+KIQ43nQv/xBC2FRb+1fQUaytxl0phFCEEBe0JM6WeIUQVzfd3wQhxFfnO8ZWcXT0OggXQmwSQhxsei3MuBBxNsXysRCiSAhxzMp5IYR4velnOSKEGHS+Yzwtno7iva4pziNCiJ1CiP7nNABFUS76f8BLwKNNjx8FXrQwJgbo0fQ4GMgHPM9jjHZAGhAFOACHgV6njVkCvNv0eAHw7QW6n7bEOgFwbnp858Uca9M4N2ArEA8MuRCxnsG97QEcBLyavva/iGN9H7iz6XEvIOMC3tuxwCDgmJXzM4D1mPbdjAB2X6hYbYz3klavgennOt5OMXPH3N7gM2Du6QMURUlWFCWl6XEeUAT4nbcIO5dNQ4exKoqySVGU2qYv4zHtb7gQ2HJfAZ7FNAnQnc/gLGBLvLcCbymKUg6gKErReY7xFLbEqgDuTY89aLvH5byhKMpW2t8/MwdYoZiIBzyFEEHnJ7q2dBSvoig7T70G+Av+xjqLuAcoipIP0PS/f3uDhRDDMM1E0s5DbKewZNMQYm2MoiiNwCmbhvONLbG25mZMM6ILQYexCiEGAmGKovx8PgOzgi33NgaIEULsEELECyGmnbfozLEl1qXAQiFEDrAOuOf8hHZWnOnr+mLinP+N2WI/cF4QQmwEAi2ceuIMnycI+BxYpCiK8VzEZuulLRw7K5uG84DNcQghFgJDgHF/aUTWaTdWIYQKkxPpjecroA6w5d6qMaVmxmOarW0TQvRRFKXiL47tdGyJ9RrgU0VR/ieEGIlpP0uf8/y3ZSsXy9/XGSGEmIBJ3Eefy+e9aMRdUZTJ1s4JIQqFEEGKouQ3ibfFj7FCCHfgF+DJpo9l55MzsWnIucA2DbbEihBiMqY313GKotSfp9hOp6NY3YA+wOamDFcgsEYIMVtRlH3nLcoWbH0dxCuK0gCkNxno9cC0G/x8YkusNwPTABRF2SWEcMJkenWhUkntYdPr+mJCCNEP+BCYrihK6bl87s6Slmltb7AI+On0AU3WCKsx5dxWnsfYTtGZbBo6jLUp1fEeMPsC5oShg1gVRalUFMVXUZRIRVEiMeUuL5Swg22vgx8xLVgjhPDFlKY5eV6jNGFLrFnAJAAhRBzgBBSf1yhtZw1wQ1PVzAig8lQ692JECBEOrAKuVxQl+Zxf4EKuJp/BqrMP8AeQ0vS/d9PxIcCHTY8XAg3AoVb/BpznOGcAyZhy/U80HXsGk9iA6Q9jJZAK7AGiLuA97SjWjUBhq3u55mKN9bSxm7mA1TI23lsBLAeOA0eBBRdxrL2AHZgqaQ4BUy9grF9jqoJrwDRLvxm4A7ij1X19q+lnOXoRvA46ivdDoLzV39i+c3l9aT8gkUgkXZDOkpaRSCQSyRkgxV0ikUi6IFLcJRKJpAsixV0ikUi6IFLcJRKJpAsixV0ikUi6IFLcJRKJpAvyf/dHo0cw81uJAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = ot.dist(XX.reshape((n**2, 2)), XX.reshape((n**2, 2)))\n", "gmm0 = densite_theorique2d(mu0,S0,pi0,XX)\n", "gmm1 = densite_theorique2d(mu1,S1,pi1,XX)\n", "A = []\n", "A.append(gmm0)\n", "A.append(gmm1)\n", "A = np.array(A).T\n", "\n", "def baryot(t):\n", " # Barycenters for W2 in 2d\n", " weights = np.array([1 - t, t])\n", " reg = 1e-3\n", " ott = ot.bregman.barycenter(A, M, reg, weights)\n", " # contour plot\n", " Z = ott.reshape(X.shape)\n", " CS = plt.contour(X, Y, Z, 8)\n", " plt.axis('equal')\n", "\n", "\n", "baryot(0.5)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8bcd10d4936b4d9e8b5081df0d78a418", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.5, description='t', max=0.96, min=0.05, step=0.05), Output()), _dom_…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# interactive display \n", "interact(baryot,t=(0.05,0.96,0.05))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "01147dd5d3344d77b611c6b0698ea17e": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.4.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_866666ec1aba4fe8b18d2f503b467219", "IPY_MODEL_30d96b2b1cfa44718b2aac8cdef35e49" ], "layout": "IPY_MODEL_b6a07774bb424ee9a074b3afa5a1b107" } }, "015b02592c574c9c906cfc26ce1e7eb6": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.1.0", "model_name": "LayoutModel", "state": {} }, "017bc23b5a9244ffa6b6403b39d5543d": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.4.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_35c61ae39eca4445abc9e5c8fb1a931a", "IPY_MODEL_aeed6fca786b47ab93768681e52951c0" ], "layout": "IPY_MODEL_82f03ba9ff7d445f933d9c8237d2c6b0" } }, "124bd6820441495284ea2ae5baf4d2ed": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_8d520f7b91e1490380f987d64a3a8a46", "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ] } }, "3370eb1469c74398956a406a0b0f7d09": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_d404f283dd024a80a0baa74b00717c1a", "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": "
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"outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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