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authorRémi Flamary <remi.flamary@gmail.com>2020-04-20 22:19:26 +0200
committerRémi Flamary <remi.flamary@gmail.com>2020-04-20 22:19:26 +0200
commite106537ee2fd5c3b2dac87789ed9f2dc40766a55 (patch)
tree1cd567393e5687f44b65157b8a9a7b7614392493
parent9eaf77a8e8e116d3269c9f35f4d8012119d1312d (diff)
update readme + notebooks
-rw-r--r--README.md2
-rw-r--r--notebooks/plot_otda_laplacian.ipynb252
-rw-r--r--notebooks/plot_partial_wass_and_gromov.ipynb42
3 files changed, 273 insertions, 23 deletions
diff --git a/README.md b/README.md
index 44d35a7..931a252 100644
--- a/README.md
+++ b/README.md
@@ -2,7 +2,7 @@
[![PyPI version](https://badge.fury.io/py/POT.svg)](https://badge.fury.io/py/POT)
[![Anaconda Cloud](https://anaconda.org/conda-forge/pot/badges/version.svg)](https://anaconda.org/conda-forge/pot)
-[![Build Status](https://travis-ci.org/rflamary/POT.svg?branch=master)](https://travis-ci.org/PythonOT/POT)
+[![Build Status](https://travis-ci.org/PythonOT/POT.svg?branch=master)](https://travis-ci.org/PythonOT/POT)
[![Documentation Status](https://readthedocs.org/projects/pot/badge/?version=latest)](http://pot.readthedocs.io/en/latest/?badge=latest)
[![Downloads](https://pepy.tech/badge/pot)](https://pepy.tech/project/pot)
[![Anaconda downloads](https://anaconda.org/conda-forge/pot/badges/downloads.svg)](https://anaconda.org/conda-forge/pot)
diff --git a/notebooks/plot_otda_laplacian.ipynb b/notebooks/plot_otda_laplacian.ipynb
new file mode 100644
index 0000000..07e4653
--- /dev/null
+++ b/notebooks/plot_otda_laplacian.ipynb
@@ -0,0 +1,252 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT with Laplacian regularization for domain adaptation\n",
+ "\n",
+ "\n",
+ "This example introduces a domain adaptation in a 2D setting and OTDA\n",
+ "approach with Laplacian regularization.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Ievgen Redko <ievgen.redko@univ-st-etienne.fr>\n",
+ "\n",
+ "# License: MIT License\n",
+ "\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "n_source_samples = 150\n",
+ "n_target_samples = 150\n",
+ "\n",
+ "Xs, ys = ot.datasets.make_data_classif('3gauss', n_source_samples)\n",
+ "Xt, yt = ot.datasets.make_data_classif('3gauss2', n_target_samples)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# EMD Transport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=.01)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# EMD Transport with Laplacian regularization\n",
+ "ot_emd_laplace = ot.da.EMDLaplaceTransport(reg_lap=100, reg_src=1)\n",
+ "ot_emd_laplace.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# transport source samples onto target samples\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n",
+ "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n",
+ "transp_Xs_emd_laplace = ot_emd_laplace.transform(Xs=Xs)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 1 : plots source and target samples\n",
+ "---------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 720x360 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(10, 5))\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source samples')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Target samples')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 2 : plot optimal couplings and transported samples\n",
+ "------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 1080x576 with 6 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "param_img = {'interpolation': 'nearest'}\n",
+ "\n",
+ "pl.figure(2, figsize=(15, 8))\n",
+ "pl.subplot(2, 3, 1)\n",
+ "pl.imshow(ot_emd.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nEMDTransport')\n",
+ "\n",
+ "pl.figure(2, figsize=(15, 8))\n",
+ "pl.subplot(2, 3, 2)\n",
+ "pl.imshow(ot_sinkhorn.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 3)\n",
+ "pl.imshow(ot_emd_laplace.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nEMDLaplaceTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 4)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nEmdTransport')\n",
+ "pl.legend(loc=\"lower left\")\n",
+ "\n",
+ "pl.subplot(2, 3, 5)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 6)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_emd_laplace[:, 0], transp_Xs_emd_laplace[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nEMDLaplaceTransport')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "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": "3.6.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_partial_wass_and_gromov.ipynb b/notebooks/plot_partial_wass_and_gromov.ipynb
index 017fd8c..6bf0bc6 100644
--- a/notebooks/plot_partial_wass_and_gromov.ipynb
+++ b/notebooks/plot_partial_wass_and_gromov.ipynb
@@ -64,7 +64,7 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
@@ -103,8 +103,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Compute partial Wasserstein plans and distance,\n",
- "by transporting 50% of the mass\n",
+ "Compute partial Wasserstein plans and distance\n",
"----------------------------------------------\n",
"\n"
]
@@ -120,13 +119,13 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "Partial Wasserstein distance (m = 0.5): 0.485157824314826\n",
- "Entropic partial Wasserstein distance (m = 0.5): 0.5048991597745197\n"
+ "Partial Wasserstein distance (m = 0.5): 0.45151590745848863\n",
+ "Entropic partial Wasserstein distance (m = 0.5): 0.46654948274375097\n"
]
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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TqPfCs32ppKMkrY2IfVPbZElXSpouaYWk4yLi+VGDldxLins2AWNZb++F16kcZg+FdM8m7XFV+fdQH7e55a8pJe3rGizzSgtx/lNJ+5+1sK5c720wbVkF8bF5ae9eePMkHT6i7QxJP4uIvST9LL0GgH40T+QwAB02agEVEXdKem5E89GS5qfn8yUd0+F+AUBHkMMAdEOr50BNiYjV6flTKj/uCwD9iBwGoC1tn0QexUlUpSdS2Z5le6HthdL6dsMBQEc1ymEb56+nK+4ZgH7WagG1xvZUSUp/15bNGBFzI2KoOAlrQovhAKCjmsphG+evnSvtIID+1moBdaOkk9LzkyTd0JnuAEAlyGEA2tLMZQwul3SIpJ0krZF0tqTrJV0laXdJj6sYAjzyJM0666p/GYNe42a6QDf1/DIGHclhreWvyfWbb/pq/fajZmeuX4pf189f3r1R/tq+pL3R5Qr6VdlNk1+vtBcYq8rz17jRFo2IE0omHdZWnwCgAuQwAN3AlcgBAAAyUUABAABkooACAADIRAEFAACQadSTyMcSRtsBaN1EFYP5RlrSYJnP1W8+6sqS+Y9osK5312317g0WKVU2Qu19Lazr/haWKbuhbys38/103dZ947W67Uv96wbramVbMKg4AgUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyDdRlDLhcQWeUXQ5C4j3GGLb1RGn6IZu2P3RHg4UuyosxruSyB5K0oezSB614pX7zjM/Wb3+mwapWtjD0/90l27l8dv66dG3d1qUuucnw0Fnlq1rIZQzQPI5AAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQKaBGoWHPNx8Gajx6nrpoUWbth8zu3yZ6y8umbChpPmy3F61aHL95sXzSuYvu/mwJB1Y0r6gfJHlHRxReOrskhgl899S1XuMsY4jUAAAAJkooAAAADJRQAEAAGSigAIAAMg0agFl+1Lba20vrWmbbXuV7cXpcWR3uwkArSGHAeiGZkbhzZN0oaS/GtF+QUSc3/EeoSlVjJBjtB3GiHnqRA4bN0GadMCm7dff1UKX1pS0799gmXUl7WXDzRp5rqT9oyXtJffOkyT9XQvxy7ZzWf6qLjy3bvMOr36xbvuLW7+/wcpaeS8xqEY9AhURd6p8bwOAvkYOA9AN7ZwDdartJenw+I4d6xEAVIMcBqBlrRZQF0naU9IMSaslfbdsRtuzbC+0vVBa32I4AOiopnLYRvnrzaer7B+APtdSARURayLijYh4U9LFkmY2mHduRAxFxJA0odV+AkDHNJvDNspfb9u52k4C6GstFVC2p9a8/IykpWXzAkC/IYcBaNeoo/BsXy7pEEk72V4p6WxJh9ieISkkrZD0pS72EQBaRg4D0A2jFlARcUKd5ku60BeMUHapAolLDADN6lgO2/Ck9MzstvvT2E+7vP7R/E3H1vTihm+VTtsh9zb2B80un3ZX/Wkvbv2XmUEkfagkzi8bxMfA4krkAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkCl3LAQq1MpIuypuMgwAo9lh3JkNph5St/Vm/Xbd9iNbuV9zKxhthwwcgQIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMfT8Kj1FleXhfgP5xVSyq236cDyhZYkrput4bB9ZtX+Ybc7vVwPiS9kb/VbzSQpw76rYeWZq/tulwfKB9HIECAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmfr+Mgb9OiyfyysAGE355QreV9J+f+m6yi9XcEhJ+x2l67om7q7b/lnPLFni9dJ1VaPBpQpWnlG/fdfzutMVIOEIFAAAQCYKKAAAgEwUUAAAAJkooAAAADKNWkDZ3s327bYftP2A7a+l9sm2b7P9cPq7Y/e7CwDNI38B6BZHROMZ7KmSpkbEvbYnSlok6RhJJ0t6LiLOs32GpB0j4vTG65oW0qzO9BzAZmLOoogY6kVk8heA9pTnr1GPQEXE6oi4Nz1/SdIySbtIOlrS/DTbfBVJCQD6BvkLQLdknQNle7qk/SQtkDQlIlanSU9JmtLRngFAB5G/AHRS0wWU7e0kXSPptIhYVzstit8B6/4WaHuW7YW2F0rr2+osALSC/AWg05oqoGyPV5F8fhwR16bmNen8guHzDNbWWzYi5kbEUPEb4oRO9BkAmkb+AtANzYzCs6RLJC2LiO/VTLpR0knp+UmSbuh89wCgdeQvAN3SzL3wPirpREn3216c2s6UdJ6kq2x/UdLjko7rThcBoGXkLwBdMWoBFRF3SXLJ5MM62x0A6BzyF4Bu4UrkAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAplELKNu72b7d9oO2H7D9tdQ+2/Yq24vT48judxcAmkf+AtAt45qYZ4Okr0fEvbYnSlpk+7Y07YKIOL973QOAtpC/AHTFqAVURKyWtDo9f8n2Mkm7dLtjANAu8heAbsk6B8r2dEn7SVqQmk61vcT2pbZ37HDfAKBjyF8AOqnpAsr2dpKukXRaRKyTdJGkPSXNUPEN77sly82yvdD2Qml9B7oMAHnIXwA6rakCyvZ4FcnnxxFxrSRFxJqIeCMi3pR0saSZ9ZaNiLkRMRQRQ9KETvUbAJpC/gLQDc2MwrOkSyQti4jv1bRPrZntM5KWdr57ANA68heAbmlmFN5HJZ0o6X7bi1PbmZJOsD1DUkhaIelLXekhALSO/AWgK5oZhXeXJNeZdHPnuwMAnUP+AtAtXIkcAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADINGoBZXtr23fbvs/2A7bnpPZ32l5ge7ntK21v2f3uAkAechiAbmjmCNRrkg6NiA9ImiHpcNsfkvQdSRdExLslPS/pi93rJgC0jBwGoONGLaCi8HJ6OT49QtKhkq5O7fMlHdOVHgJAG8hhALqhqXOgbG9he7GktZJuk/SIpBciYkOaZaWkXbrTRQBoDzkMQKc1VUBFxBsRMUPSrpJmStq72QC2Z9leaHuhtL7FbgJA61rNYeQvAGWyRuFFxAuSbpf0YUmTbI9Lk3aVtKpkmbkRMRQRQ9KEtjoLAO3IzWHkLwBlmhmFt7PtSen5NpI+IWmZiiR0bJrtJEk3dKuTANAqchiAbhg3+iyaKmm+7S1UFFxXRcRNth+UdIXtcyT9s6RLuthPAGgVOQxAx41aQEXEEkn71Wl/VMW5BADQt8hhALqBK5EDAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMoxZQtre2fbft+2w/YHtOap9n+zHbi9NjRve7CwDNI38B6JZxTczzmqRDI+Jl2+Ml3WX7p2naH0XE1d3rHgC0hfwFoCtGLaAiIiS9nF6OT4/oZqcAoBPIXwC6palzoGxvYXuxpLWSbouIBWnSubaX2L7A9lZd6yUAtIj8BaAbmiqgIuKNiJghaVdJM23vK+mbkvaW9EFJkyWdXm9Z27NsL7S9UFrfoW4DQHPIXwC6IWsUXkS8IOl2SYdHxOoovCbph5JmliwzNyKGImJImtB+jwGgBeQvAJ3UzCi8nW1PSs+3kfQJSQ/ZnpraLOkYSUu72VEAyEX+AtAtzYzCmyppvu0tVBRcV0XETbZ/bntnSZa0WNIpXewnALSC/AWgK5oZhbdE0n512g/tSo8AoEPIXwC6hSuRAwAAZKKAAgAAyEQBBQAAkIkCCgAAIBMFFAAAQCYKKAAAgEwUUAAAAJkooAAAADJRQAEAAGSigAIAAMhEAQUAAJCJAgoAACATBRQAAEAmCigAAIBMFFAAAACZKKAAAAAyUUABAABkooACAADIRAEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMjkiqgtmPy3p8fRyJ0nPVBZ8U4Mcf5C3vdfxB3Hb94iInSuO2XHkL+L3QexBj99X+avSAmqjwPbCiBjqSfABjz/I297r+IO87WNJr99H4rMPD2L8Xm/7SPyEBwAAkIkCCgAAIFMvC6i5PYw96PEHedt7HX+Qt30s6fX7SPzBjD3o8Xu97Rvp2TlQAAAAmyt+wgMAAMjUkwLK9uG2f2V7ue0zKo69wvb9thfbXlhBvEttr7W9tKZtsu3bbD+c/u5YcfzZtlel92Cx7SO7FHs327fbftD2A7a/ltor2f4G8ava/q1t3237vhR/Tmp/p+0F6fN/pe0tK4w9z/ZjNds+o9Oxx7pe5q8Uf2ByWC/zV4rVsxw2yPlrlPj9k8MiotKHpC0kPSLpXZK2lHSfpH0qjL9C0k4Vxvu4pP0lLa1p+5+SzkjPz5D0nYrjz5b0jQq2faqk/dPziZL+RdI+VW1/g/hVbb8lbZeej5e0QNKHJF0l6fjU/peSvlxh7HmSju32to/VR6/zV+rDwOSwXuavFKtnOWyQ89co8fsmh/XiCNRMScsj4tGI+H+SrpB0dA/6UYmIuFPScyOaj5Y0Pz2fL+mYiuNXIiJWR8S96flLkpZJ2kUVbX+D+JWIwsvp5fj0CEmHSro6tXdl+xvERnsGKn9Jvc1hvcxfKX7Pctgg569R4veNXhRQu0h6oub1SlX4oVDxD3Cr7UW2Z1UYt9aUiFidnj8laUoP+nCq7SXpEHnXfkIcZnu6pP1UfIuofPtHxJcq2n7bW9heLGmtpNtUHL14ISI2pFm69vkfGTsihrf93LTtF9jeqhuxx7Be5y+JHCZVnL+k3uawQcxf9eL3Ww4bxJPID4qI/SUdIekrtj/ey85EcXyy6qr6Ikl7SpohabWk73YzmO3tJF0j6bSIWFc7rYrtrxO/su2PiDciYoakXVUcvdi7W7FGi217X0nfTH34oKTJkk6vqj/omEHPYZXmL6m3OWxQ81e9+P2Ww3pRQK2StFvN611TWyUiYlX6u1bSdSo+FFVbY3uqJKW/a6sMHhFr0gfzTUkXq4vvge3xKnb+H0fEtam5su2vF7/K7R8WES9Iul3ShyVNsj0uTer6578m9uHpZ4GIiNck/VC9+fxvznqavyRyWNX7by9zGPlrk/h9lcN6UUDdI2mvdCb/lpKOl3RjFYFtb2t74vBzSZ+UtLTxUl1xo6ST0vOTJN1QZfDhHT/5jLr0Hti2pEskLYuI79VMqmT7y+JXuP07256Unm8j6RMqzmO4XdKxabaubH9J7Idqkr5VnLvQi8//5qxn+Usih0nV7b8pVs9y2CDnrwbx+yuHdeps9JyHpCNVjCh4RNJZFcZ9l4pRM/dJeqCK2JIuV3GY9XUVvxd/UdLbJf1M0sOS/k7S5Irj/0jS/ZKWqEgEU7sU+yAVh7aXSFqcHkdWtf0N4le1/e+X9M8pzlJJ/73mc3i3pOWSfiJpqwpj/zxt+1JJlymNcuGR9d72JH/VfHYGJof1Mn+l+D3LYYOcv0aJ3zc5jCuRAwAAZBrEk8gBAADaQgEFAACQiQIKAAAgEwUUAABAJgooAACATBRQAAAAmSigAAAAMlFAAQAAZPr/qMEntv/9IFkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -181,7 +180,7 @@
"outputs": [
{
"data": {
- "image/png": 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ivrfjvd1uN+qExIOeUn7QdXp7e0lLS8Nutydl7fGiN37WrRe3283w8DBjY2PHEvWzFsYYbd6Pf/zjXL16lf/wH/6D8fN3v/vdAL/y4NtfAV7Uf6eEXKE4Z0QT8b6+PqxWK1VVVXFHosDhO/LBwUFMJhNOp/PUaq3o1ktBQQFVVVVYrVZ6e3uj1hCPh9P0yOP5DH/yk5/wX//rf+WHP/wh9fX11NfX89JLL/HMM88AvF0IMQT8DPC8/hrlkT9mqGiR8000ER8cHASgurraSAuPV3QPEv3R0VF8Ph/Xrl3bVZ/7tJBSYjabyc/Px+Vysb29zdzcHG1tbWRmZuJ0OsnMzDxUpE9rRx7v5/emN70p5lgp5dui/VwJ+WOGslPON5EiLoRgZGQEv99PXV2dISqJCnm0sdPT06ysrNDQ0GBc67SFfC9paWlGT87V1VWmpqbY3t7eV252L6e5I4eT6bakhFyhOCfsFfGxsTHcbve+ZsnHtVYWFhaYmpqiubnZEKqz3OpNCEFubi65ubkEAwE2vvc95l58EX9pKZlvfCP5+fm7silP0yM/qc9RCblCcQ4IBoNG/WshBJOTk6ysrFBfX79PHBLZPe8du7KywsjICM3NzftSyU97R36ocEpJ6h/9EfaXXwZ2dszTCwu01teTnZ2N0+nEbrfvmsf8v/4Xts99Dra3Cbz//fh///fBYolrPZFx+/Gu/6RQQq5QnHGCwSCdnZ3U1tYihGBmZob5+fmYzZL1OtjxEGnDbGxs0NfXR1NTE5Y9YnYWrZW9aENDWL73PcKFhaBpCL+f0u98h7wPf5hVj4fJyUm2t7eNm2JqWxspv/qriAd1X6x//dcgBP7nnz/4Qg+QUh5aNyWSQCCw73NNFipqRXEgylM/XXTRWV9fRwjB/Pw8U1NT1NfXxxSRo1gr29vb3Lt3L2bDifMg5LjdSJMJ9JubxYIIhxEeD7m5udTW1lJfXw/sRPmsfu1rhogDCI8Hy9/9XdyXS9Ra8Xq9J1LCFpSQKw7hrKT07+VxuMGEQqFddsrCwgKjo6OHNktO9LDT6/UatcrT09NjjjtsnpPmMOEMV1WBzYZYW4NQCLGwsPOzHKNIIBaLBZvNRn19PZklJYT3fI4ygYYbkYedWn8/pu9/H621FWLcRH0+nxJyhSKSs3qDSRZ7O96Hw2GGh4dpbGw89PE8EWtFn/fKlSv70sAjORc78pwcfC+8gCwoQKyuEr5+Hd9/+S+vpzQ/QL8hiF//dcjORlosSCBks9Hz0Y8yMTGx045tawvtzh1M//zPsLy873L6PKbvfQ/r5z+P5a//GusLL2D5y7+M2v3kJIVceeSKfeit1XT0/w+effbx2AmfNuFwGJ/PZ4j42toaHo+Hp556Kqkd70OhEAsLCxQXF8cscxvJmRdyIHz5Mt6/+ZsDx+gCLIuK2P7nf8by9a/DxgbBf/kvKWlsZH5+nt5XX6Xqb/6GrK0tLDYbZrsd/zPPIIuLX79WOIwWCGD55jeRTidYrRAOY/rJTwi+853Iqqpd1z2p7kCgduSKKJzVlP7HoWbMXhHf2Nigp6eHzMzMuA/K4rFWwuEwHR0dRkr/YZyFHflJFM2SRUX4/+N/xP/7v0/4ySexWCyUlJTQtL5Ort/PZmEh01YrG8vLhL797X3zaMHgjpWi/9toGphMCJ9v33WVtaJQcHZvMMlEL4AlhGBzc9M4gLRYLAkdYB40VkpJd3c3ubm5ZGVlxV3G9qBxbrc7rnrixyVhL35jA9unP01aczOp73wnWktLXPMItxtTWho5OTk4nU6smZmsj4/T2trK5OSkUftd2O2EL19GTE+D349YWEDa7YRLS/fNqQ47FaeGSul/uGiahhCC7e1tOjs7uXHjBunp6QmHFMYaK6Wkv78fm81GZWXlkVu9ReJ2u+nu7jZauY2Pj+OLsiM9DWyf/Szm738fhEDMzJD6a79Gyvz8oa8LX7u2E9GyvY3w+0n1eMj/+Z83kq+6urpYWlpifWMD76c+RejmTdjeJlxejv8//2eI0nTjJK0V5ZErDuSs7nYf5RuMHkUS2YUnESE/SJzv379PMBikrq7OmDeRDkHR1trV1cW1a9ew2WyEw2Hm5+e5d+8eVqsVl8sVl/9+1OsfSDiM+ZVXkJmZO5aH2Qybm9j7++Ff/IuDX3rtGoFf+zXMf/d34PUSeN/7CL3tbVg0jZKSEkpKSujq6mJzc5OWuTlyf+7ncH7sYwd2TVKHnQrFHs7qDea46F3nr169usu7TkRwY4n+5OQk6+vru7JBE9mR7x0XCARob2+npqaGjIwMAoEAZrOZ4uJiiouL2dzcZGZmhpGREQKBAB6Ph9TU1Ljew0HrSGAwMjUVgsGdg8gHXlwozjWE3vQmQm96U8zfm81mysrKSEtLY2VlxSgyVlRURFFR0b6DaSXkCsVjwubmJpcvXyYnIvYZjl8/ZW5ujtnZWZqamnZlgx6l+TK8flhaWVlJTk5O1FKyGRkZVFdXEwqFuHPnDv39/QC4XK599U9OBCHw/97vYfu934OtLTCZCF2/zmpDQ1Km1+PINU0jPz+f/Px8/H4/8/PzRoMPp9NJbm4umqYpIVcoHhfy8/MJBAL7fn4cj3x5eZnR0dGo9VOO4pFLKbl37x4FBQVxdQwymUxYLBbq6+vxeDzMzs4yNjZGTk4OLpcroSbOiR52Bt/7XsLl5Zju3kXm5RF817uQXV0JzRGLaAlKVquV0tJSSktLcbvdzM3NMTIyQm5uLrOzs4cK+cc+9jH+/u//nsLCQrq7uwG4desWX/nKVygoKKCzs7MD+M9SypciX6eEXKE4BxzVI19fX2dgYCBq/ZS9Y+Odc3BwEJvNRkVFRfxv4AFpaWlcuHCByspKVlZWuH//PoFAAIfDQVFR0YEZq0eNiAk3NhJ+0JU+mUgpDyxja7fbsdvthMNhFhYW+Pa3v838/DzV1dV84AMfiPqaj3zkI3zqU5/iwx/+8K6f/9Zv/Ra//du/DVAf7XVKyBWKc8BRduSbm5t0d3fT0NAQcyeYiGUjpWR8fByv18v169fjXnvk6yNrput2hM/nY25ujrt372K323G5XHE1iHhYiOVlrF/4AlpfH+HKyp3EIJcr7uqHmqbhcDj44Ac/yObmJlV7EoUiefrppxkbG0t4jSr8UKE4ByS6I9crJl6/fp20A+qHJLIj9/l8LCwscO3ataTW4bbZbJSXlxu9Oaenp2ltbX09VT7OeU6EYBDbpz+N6X//b/D7MbW2kvLJT4LXm3AZW5/PR15eHjdv3kx4GX/2Z3/G9evXEUJ8TQiRs/f3SsgVMXlUI0POMrGEIREhD4VCrKysUFNTc2jD5HiFfH19HY/HQ319/ZG64sSD3puzpqbGuE5XVxf37t1jeXk57vef1DXNzaGNjSELCsBmQ+bnIxYX0UZHD7VW9uL3+6NWljyM3/iN32BkZISOjg6AWeCFvWOUkCti8qgXpjpPxCvkwWCQ3t5e0tPT90W+xJr3MCHf3Nykv7+fjIyME6unvRc9Vb65uZmKigqWlpZYXFxkZmYGr9f7UNYAQErKTgq+/tk/+FqmpDy0MrZFRUWYTCb9pvEV4Im9Y5SQKxTngHiEXA8JdLlccQvuYTtyn89HZ2fnkeyUZGG327l8+TL5+fnYbDZ6e3vp6OhgYWHhxHfpMj+fwPvfj1haQszPIxYXCf7MzyArKhIW8qPuyGdnZyO/fS/QvXeMOuxU7EJVPjybaJoWNSxRRw8JzM/Px+l0srCwENe8Bx12BoNB2tvbuXLlitEi7agko+iWEIL8/HwqKyvZ3t5mZmaG0dFRcnNzcblcO7XU/X7ExgYyKyvulm2HEfjsZwk3NqKNjBAuKyP09rcb/2Mk6pEftiP/pV/6JW7fvs3S0hIlJSU899xz3L59m46ODv1abwH+7d7XKSFX7OLWrdcFW4ioZZUVp8BBQiilpK+vj7S0NCoqKggGg8dO59d39+Xl5eTl5SGlPFCIH3Z1xLS0NC5evEhVVRXLy8sMDw+T0tfHlW98A1soBBkZ+J99lnBt7fEvJgSht76V0Fvfeqxp4qm18q1vfWvfzz7+8Y9HfvvuaK9T1opCcQ44yFoZGRlBSsnFixeB4zVfhp0bQ09PD3l5eTidTmNcPHOdJNHek6ZpFBQUcKOykmt/+7eEgWWrlS23G+13fxe5vZ30dYj797H8wR9w4a/+CtN//++wJ7ImFucis1MIYQJagWkp5cEVaRTngke5MNVZJdGolYmJCTY3N42qfAeNjXW9vQI5PDyM2Ww+UsLPSRPr8xHz85hCIVILC0llZ/frn5qi54c/JPvGDRwOBxaL5fj2zuIi1t//fbSJCezb21g2NxGhEMF//a8Pfe25EHLg3wN9QOx+UYpzhfLEzw7RxHl2dpb5+Xmampp2CVwiO+O9USuTk5Nsbm7uKqyVLE7SepF5eTtf+Hxgs2ENh7HZ7Vx54xuZ29qio6OD1NRU4wnjqJh+/GNMt28jLBbSAgFMS0tgtcYt5Ec57IyHpFgrQogS4OeB/ycZ8ykUjzPRBHSvkC8tLTE+Pk5DQ8Ox4rojd+QLCwvMzs7qiSdHnjPWdU6U3Fz8/+7fIdbWEAsLiPV1/J/9LJbcXEpLS2lubqasrIyFhQW2trYYGxs7Us107Sc/QYTDyPR0QikpSCHQRkfjeu1Ro1biIVk78i8C/xGImX0ghPgE8AmAsrKyJF1WoXg8iBTytbU1BgcHaW5uPrA2STzoUStra2sMDw9HLax1Vjgs3C/0jnfgvXEDMT+PdDiQhYXG74QQZGZmkpaWxvb2Nlarle7ubsxmMy6Xi7y8vPhuiLm5O7Hl29togQACCMVpQZ1pa0UI8S+ABSllmxDizbHGSSm/DHwZoLm5WcVCKBQJEFk/paenh8bGxrgaMR+GEIJAIJDUOU8TWVSELCqK/fsH2ZgulwuXy8XW1hYzMzPcv3+fvLw8XC7XgSUNgu95D+Z/+Afweglub2NNTyfwb/dFA0blTAs58FPAu4UQ7wJSgEwhxP8npfxQEuZWKBTsCLnf7zfavx23QYNOIBBgZWWFmzdvJm3Os8xenz49PZ1Lly4RDodZWlpicHCQcDiM0+mksLBw39NJuK4O75/8CeZvfpO1mRlMv/7rhH7qp+K69kl65McWcinl7wC/A/BgR/7bSsQViuQSDAZZXV2lubk5ofrdh805MDCA3W4nM/NkYxSSEWeeaCZlLKJZKJqmUVhYSGFhIV6vl9nZWdra2sjKysLlcu2qWRO+cQNPXR3D7e1kNzfHfd3z4JErFIoksVf0IuunZGdnJ+Ua4XCYzs5OHA4HGxsbx55venqa+fl5iouLyc3NPTMlaPcSz80kJSWFyspKKioqWFlZMUr36jXT9TDGRA+ZQ6HQsc80YpHUWaWUt4HbyZxToXicCYfDtLe3U1paytzcXFLmlFLS29tLdnY2DoeD9fX1Y823tLTEzMwMlZWVzM/PMzIyQmFhIU6n88Q84aOSyK5eCEFeXh55eXn4/X7m5ubo6OggLS2NwoiD1JO4dqKoHblCcUaRUtLZ2UlRURFOp5OZmZmkzHv//n2EEFRVVeHz+Y5lebjdbqMDEUB2djahUIj5+Xm6u7uxWq0UFxcnJYY8GUJ41DmsVitlZWWUlpaysbHB5OQkbreb8fFxHA7Hqd+wlJArFGcQPU3ebrdTVlZGOBxOWAyjidbU1BTr6+s0NDQghDiWd+3z+ejq6uLGjRtYrVajCYTJZDKiQtxuN9PT07jdbiYnJykpKTnVyJjj3gyEEGRlZWGz2QgGg5jNZrq7u7FYLLhcLqPRcrTrniRKyBWKM8jQ0BCapnHhwgUgsZZs+vi9orW4uMj09DTNzc3GzxOdVycUChmVETMyMmLOYbfbuXLlCh6PB5PJRFdXFykpKRQXF5Odnf3QvfRk2RvhcBiz2UxxcTHFxcVsbm4yMzPDyMiIUYEyWhjjSb1fVTRLoThjjI6O4vF4uHr16i7BTYS9maDr6+sMDQ3R0NCwK6TuKDtyKSVdXV2UlJSQp6fGH4IQAqfTSVNTE2VlZczNzcVs53bQdZNmrWxuYv3CF0h9//tJ+bVfQ+veV+I7obVkZGRQXV1tRNeUhTEAACAASURBVBUNDAzQ3t7O3NwcoVAIiO/f8GMf+xiFhYXU1dUZP1tZWeHtb387ly5dQgjxfdXqTaE4B9jt9mM3coisobK9vU13dzf19fX7bI2jCPng4CDp6emUlJTsm+sw9AzLq1evGuUFOjs76enpYW1t7cQtCF2ArV/8IqYf/QiZng6rq9h+93cRuxs4HEg4HI5qoZhMJoqKimhoaODKlStsb2/T2trKN77xjbiafXzkIx/h5Zdf3vWz559/nre97W0MDQ0B/AB4Zu/rlJArFGeMgoKCY/fF1C0Tv99PR0cHdXV1MR/1ExHPyclJPB4Ply5dSng9ezGbzUY7t5KSEmZmZmhtbWVycvLAJhrHRkpM/+f/IJ3OneYTWVng96MNDCQwxeFPB6mpqVRVVfHEE0+QnZ3NxMQEb3rTmw6s8fL000+Tm5u762cvvvgiv/Irv6J/+3XgX+19nfLIFYpHECEEwWCQ7u5uLl26RFZWVsxx8Qp5MBhkZmZml8eeCLGuox8gZmVlEQgEjDC/9PR0iouLyczMPLLFFG0NQghkRgZ4vZCWttM9RUrkAan5e4m1I4+GEIK3vOUtVFZW8vd///cJR7jMz89HVm2cA/bVIFBCrlA8gggh6O3tpbi4mIKCggPHxSPkbrcbr9fLG97whhMtqmWxWCgtLaWkpIT19XWmpqbY3t7G6XQaXvNxkFIiNI3Apz6F9fnnYXUVgFBDA+HGxsTmOUKbt+MmdEkppRBi3z+YEnKF4hFDSsnm5iZ5eXn7fOy9xCNGephhampq3E2dj4sQguzsbLKzswkEAszOzrKxscHQ0BBlZWXY7fYjPxUIIQg9/TRepxPT4CDSbif01FOQQNZlIjtyOF7BrKKiImZnZ3E6nQghnMC+hqzKI1cozhjHtQ9GH9THLi0tPfZaIsMMT6u8rcVioaysjKysLAoLC5mYmKCtrY3p6WmCwWBCc0XupOWlSwR//ucJPf10wo2aj7ojPwrvfve7+frXv65/+yvAi3vHKCFXKM4J8dggMzMzrK6ukpOzL0ItYfaGGR52/YfRnDk7O5u6ujquX79OMBjk7t279Pf3x10vJllx5Ccl5L/0S7/EU089xcDAACUlJXz1q1/lmWee4fvf/75+wPwzwPN7X6esFYXinKBHosTaGS8vLzMxMUFzczMDAwNHSvSJZG+YYbLEOBlYrVbKy8spKytjdXWV8fFxfD4fLpeLwsLCmMWpkpkQlKi1Ek9G67e+9a2oP//BD36gf/kz0X6vhFyhOCfoST7RhDyy5onZbN7XizNR9DDDGzduGD87TMhPOkszmggLIcjNzSU3Nxefz8fs7Cx3796NWn421hxHIRwOJzTPSZawBSXkCsW5IVoDZgCPx0NXVxf19fXG4/tRU+/h9WqGiYQZnoWytTabjYqKCsrLy1lZWWF0dJRAIGDs0k0mU9KeKBItY+v1ek+0sJYScoXijBFLFKMJeSAQoKOjg9raWtLT03fNcRQh13f2N2/e3LfzP4618jBtmcjysz6fj5mZGdra2sjOziY1NfVUPHK/36+EXKFQ7BdyPaLkwoUL++KTj2Kt7K1muJfT9siPYovYbDajScTy8rKxS09JSYnayi1e9KJZ8aJ25AqFAtgt5FJK7t27h8PhiNrkIFEh31vNMBqnLeTHQQhBfn4+oVCIzc1NPB4Pra2t5Obm4nK5dj3NxIPakSsUiiMRKeQDAwOkpaVRVlYWdWwi1kq81QzPs5DrSCmNuHR9lz48PEwoFDK89Hi876NErajDToVCYQj52NgYfr+fa9euHTg2XtH1+XwUFBQcmgV6XM7CTSByJ61pGgUFBRQUFODxeJiZmaGlpYW8vDxcLlfUImPR5okHtSNXKB4zDjrsXFpaYn19ncbGxgOFJN4d+eTkJOFwOK5qhgftyDc3N5mcnMThcES1Zk7jgDGROVJTU7lw4QKVlZUsLS0xODiIlJLi4mLy8/P37b4fZop+PCghVyjOCV6vF7fbzVNPPXWoiMQKVYxEDzNMTU2N6/qxhNzv99PV1UVxcTEjIyOEw+GYAnjaHHYz0DSNwsJCCgsL2d7eZmZmhtHRUfLz83G5XMZnlehNxev1kpmZeez1x0IJuUJxDnC73aysrFBdXR1XtMRhO/LIMMO2tra4hCmakIfDYTo7O41SuS6XC4/Hw/T0NKOjoxQUFFBcXBzfm3wIJBL/nZaWxsWLF6mqqmJxcZH+/n6EELhcLkKhkLJWFApF/Hi9Xrq6unA6nXGHvGmaFrM5w94ww0T89MhxUkr6+vrIz8+noKDAaNmWmprKxYsXqaysZGFhge7ubrxeL+vr68eK406WtZIomqZRVFREUVER29vbTE9PMz8/TygUIiUlJa4nGiXkCsVjTCAQoL29nZqaGtbW1uKORIllg0QLM4w3GmWviE5MTBAOh6moqIg63mQy4XQ6cTqdtLe3s7S0xNTUFE6nE4fDkVAcdjI5zs0gLS2NS5cuEQgESEtLo6+vD5PJhMvlIi8vL+ZuX0WtKBSPKeFwmI6ODiorK8nJyWFjYyNuIY+2y44VZhjvwWik4C8tLTE/P2+k8R92I7BarVRUVGC1WnfVQykuLo4Zt34SJKvWCkB+fj4VFRVsbW0xPT3N/fv3KSwsxOl07hNtddipUDxm6MJ47949CgoKcDgcQHwHmJFz7B17UNPkeHfkUkq2trYYGBigubk54cNMPYa7tLSUlZUV7t+/TzAYNDoZHTTfSUatHGee9PR0qqurCYVCLCws0NPTg8ViMXbpQggl5ArF48jg4KBRBErnIN97L3tFP1o1Q51EhDwQCNDd3c3169ePJUyR9VD0GO6xsTEKCgpwuVwnZkOcZBnbSCtpc3PT2KXb7XY8Hk/Cn1dFRQV2ux2TyYTZbKa1tTXmWCXkCsUZIxgMIoSgurp6188T3ZFH2iAHVTOMV8illAwODnLx4sV95WHjIdY19BjuiooKFhcX6enpwWq1UlxcTE5OTlIrKyZzR37Q00NGRgaXL18mFArx2muv8corrzAzM8OXvvQl6urq4r7Oj370I/Lz8w8dd2whF0KUAn/DTmdnCXxZSvml486rUDyumM1mLl++vE/4EhFyfazb7WZwcJCmpqaYBaLiFfL19XVycnKi1nY5jHjE02Qy4XA4cDgcuN1upqamGBkZMX4W7zwH8bDrkZtMJp566ikaGhr40Ic+lHBNl3hJRrR+EPislLIGeAPwSSFETRLmVSgUESS6Iw8Gg3R1dR1qg8Qj5HqEitPpjDnmuB2JIrHb7Vy9epX6+noA2tvbjYSo43Card4aGhqorKyM+zVCCN7xjnfQ1NTEl7/85QPHHntHLqWcBWYffO0WQvQBxUDvcedWKBSvk4iQSylZWlrixo0bh0aFHBZHvry8zOzs7IGP+OFw2PijaVrSGjVbLBZKS0spKSnh1VdfZXR0lGAwmFCBq0hOs9Vboh75K6+8QnFxMQsLC7z97W/nypUrPP3001HHJjV/VghRATQAd6L87hNCiFYhROvi4mIyL3vq3Lp12itQPA7EK+RSSoaHh0lLSzuwmqHOQTvyra0t+vv7qa+vjzlOSkk4HMZisWAymQiHwwQCAUKhUNJ26UIIzGYz169fp6amhq2tLVpaWhgZGcHr9cY9TzI7BJ10ZqeeEVtYWMh73/teXnvttZhjkybkQogM4L8Dn5FS7mtpLaX8spSyWUrZXFBQkKzLngmee+60V6B41IgmEvFmYA4ODpKWlhZ35EesOPJAIEBnZyfXrl3DZrNFXZOU0khXN5lMWCwWrFar0VYtGAwakTbJEtGUlBQuXLjAzZs3SU9Pp7e3l66uLlZWVo6U2HQUjmKtJBKJs7W1ZdhIW1tb/MM//MOBh6RJiVoRQljYEfFvSCn/LhlzKhSK3cSTuKOHGV66dInBwcG4542VPFRVVWUUe9o7ThfxvREcmqYZ34dCIQKBAF6vl1AoZIh+MoppaZq263B0enqa4eFhI3PUYrHse00yE4JOckc+Pz/Pe9/7XmAniumXf/mXeec73xlz/LE/TbHzbr4K9Ekp/+i480XjLFoXt26BEDt/4PWvz+JaFY8Gh1krepjhtWvXDIsjHqIJ+cDAAFlZWUa0yN5xup1ymDCaTCbm5+fJyMggMzOTcDhMKBQiGAwm/XD0ypUrNDQ0ANDR0UFfX9++w9FkCnkiSCkTOjeoqqqis7OTzs5Oenp6+NznPnfg+GRYKz8F/BvgrUKIjgd/3pWEeQ3OonVx6xZIufMHXv9aCbnipDhIyPVqhvX19ZhMpoS6+ewdOzU1hdfr5cKFCzHH6QebQogDhXF5eZnFxUUuX75s2C56jRV9t55MQdcPR5ubmykqKmJsbIy2tjbm5ubiuvGcV5IRtfIK8Oh9MgrFGSOWkEdWM9Qf3xONOdcFemVlhampKW7evBlT8PTd+GEi7vF4GBwcpLGx0bBSdNvFbDYTDocJBoOG5aJpWtJsFyEEubm55Obm4vV6je4/QFwJNueNs1X1ndd3tOfJunj22dNegeJxIJo4h0IhOjo69jVNPsqOfHt7m76+PmNXH22cLr6HiXgoFOLevXvU1NTE9IY1TcNqtRqHo7rtkuxdekpKClVVVdy8eROz2czo6ChdXV0sLy8/lPZzD+MaZ07IdRvlPFkXZ3FNivNNrKiVSIHTDySLi4v3hRkeJXmos7OTurq6A6MrQqFQzPVFrqunp4eSkhKysrIOvb6maYbtYrFY0DTtRARd0zRSUlKoqamhqqqKpaUlWlpamJiYiLuGzXE4SUtH1VpRKM4Je8U5VjVDSLzj/ejoKBUVFTGFV0pJSkoKExMTRtPiWMI0Pj6O1WrF5XLFfX3AsFT03bluuwSDQSOc8bjoc+i1UILBIHNzc3R0dJCRkUFxcfGJtmQ7Kc7EjvwwG0VZFwrFbnGODDOMNTZeVlZWSElJOTT9vqioiNraWlZXV3n11VcZGxvbt5NdXl5meXl5X8GvRIm0XcxmsxHlctxd+t7DTrPZTElJCc3NzTgcDsbHx2lra2N2dtZ4+jguD8NaORM78lu3XhdtIV63UyJ/r1A87ugCdFg1w0SYnp4mEAhQWloac4yeoSmEID093djJzszM0NbWRmZmJmVlZWiaxtDQ0K7DzeOiH44ODQ1RUlKCEGLXLv0opQBiVYDMyckhJycHn8/H9PQ0ra2t5OXlUVxcvKudW6LCHAgEosa0J5MzIeQKhSI+QqGQ0dThuPVMVldXmZiYOHAnHitCxWw2Gw0ilpeXGRgYYH19nQsXLiRdtGZmZgiFQpSVlRkHrnqki762yCSkg4gn/NBms1FVVUVFRQVLS0v09/ejaZpxFnGUrM6TbCoBZ8RaiUTZKApF9F2jz+czmkMcVxg8Hg+9vb1GhEqsGip6JmYs4dIbRJjNZqqqqvB4PLz66quMj48n5QDR7XYzOTlJTU2NsYbIw9HImHS/33+o7ZKICGuaRmFhIQ0NDVy4cIHl5WVaWloYHx9P6D08DCE/cztyZaMoFPvRwwxTUlKO3eMyGAzS0dFBbW0tqampMft7Rku/j8bY2BgpKSlGN6NI2yUrK4vS0tIjrTkQCNDT02Nkqu4lMiZd36EfFpN+1ISgyMPR6elptra26O3tpaSk5NDDUa/X+/jtyM8i6uaiOE0iwwyP23le7wVaXl5OdnY2EL2GSrxZkEtLS6ysrOw6dNVtlyeffJL8/HwGBwe5e/cui4uLcfvLUkp6e3uprKyMqxmDyWTaF5MeDAb3lQI4bman2WzG4XCQlZWF0+lkYmKC1tZWw/6JxlEqHyaKEvI4OIslAhSPD3o1w2hhhomil7eNDA3cK+Txpt9vbW0xPDzMtWvXou7ahRAUFBTQ2NjI5cuXWV5e5s6dO3HFbY+Pj5OSkkJRUVFC7y/SdrFarcDuUgDJauCsaRo5OTnU1dVx7do1fD4fra2tDA0Nsb29vWv8Y+mRR+PNbz7tFSgUp4MeZhgZznfUcLaZmRncbve+0MDIqorxpt8Hg0G6u7upra01BPMg0tPTuXLlCk1NTUgpaWtro7+/n62trX1jV1dXWVxcjBlaGQ96cwubzYbVajWSjPQD0uOEMO5tKmGz2aisrOTmzZtkZWUxMDBAZ2cnS0tLSCmPJOQvv/wyly9f5uLFizz//POHjj8XQv5P//Twr3meSgQoHj2EELuqGeqimmiij87a2hrj4+Ncv359n0Drc+r1ww8TcT1zs6ysLOEmzBaLhfLycp588kny8vLo7+/n7t27u0Svv78/5i7/KOgx6evr61F36YkSa1cfeTh68eJFVlZWaGlp4fvf/35C7yUUCvHJT36S7373u/T29vKtb32L3t6DG66dCyE/Dc5TiQDFo8feaoY6iaTew47oeL1eenp6uHHjRlSPPTKkT//+IEZHR0lNTT0wbPEwdNulqamJ6upqFhcXuXPnDq2trVy4cCGhJgzx4PF4uH//PnV1ddhstn2lABJJ/omn8XJ6ejrV1dU0NjaytrbGd7/7XZ555pm45n/ttde4ePEiVVVVWK1WfvEXf5EXX3zxwNecWSF/85uj74iPYrMo8VWcNzRNixpmmGhVw0AgQEdHBzU1NaSlpUUdpwt5PBEqi4uLrK2tcfHixfjeSBxkZGRw9epVsrOzSU1NZWRkhIGBgX1e81EJh8P09PRw5coVw2aJPBzVP1O/3x9Xe7p4Picds9nMm9/8Zj74wQ/ymc98Jq7XTE9P70rQKikpYXp6+uDrxDXzKXD79utfR8v2TITnnjuemKvYdsXDJj09Par3nOiOXC9elZOTE3OMxWJhfn6etLS0Axsab21tMTIyktTMTZ2FhQU8Ho/RGGJxcZG+vj40TaOsrIzc3NwjH1Lev3+f3NzcqJ+BbrvoTyT633rrumjvMxEhh9fbvEU26Ug2Z1bIzxJqR684KyQi5D6fD7vdfmC0SygUIjMzkxs3bjA1NcXo6ChOp5Pi4uJdGZrBYJB79+7FfbiZCNvb29y/f5+mpiZDrAsLCyksLGRzc5OJiQmGhoYoLi7G6XQmFIK5vLzM+vo6jY2NB47b255ub8GuSHsrHmslEr/fn5BVVFxczOTkpPH91NSU0Yg55vrjnv0U+emfTvw16rBScZ45KJMynsPOubk5QqHQvi4/kURGqKSlpVFdXc3NmzfRNM2IKtne3kZKSXd3NxUVFQkfbh5GKBSiu7ubmpqaqKn9GRkZ1NTU0NTURCgUoqWlJW7bxefzMTg4SF1dXULCGxntojfACAQCRkz6Safo37x5k6GhIUZHR/H7/fzt3/4t7373uw98zbnYkUfaLPFyWCEuheI8Es+OfH19ndHRUTIzM2OKfqz0+8gaKrq94fV6sdvtCcd0x0N/fz8ul+vQ7EiLxUJFRQVlZWUsLS0darvokTWXLl06cgy3vkuPbHqhlwI4SSE3m8382Z/9GT/7sz9LKBTiYx/7GLW1tQe/Ju7ZFQrFqXOYkHu9Xrq7u2loaGBwcPDAGioHeb1CCAoLC4GdFHxN02hpaaGkpASHw5EUj3x6ehop5aG2QSR6iF9hYaFRh0W3XVwul2GBjI2NYbfbk9LWbW97uvX1ddLT0wkEAnG1p9MtrkR417vexbveFX/r43NhrRyXeA8rle2iOOscJOShUIjOjg6uulykeb2IKIkviaTfb21tcf/+fRoaGqirq+PGjRtsb29z584d7t+/j9/vP/L7cLvdTE1NcfXq1SMfYtrtdmpqamhsbCQYDPLaa68xODjI/Pw8S0tLB9pKR2V1dRWfz0dJScmuUgAHxaQn6pEfhcdCyOMVaJWKrzjrxBJyKSXdXV1UTU6S//LLaN/+Nrm3byP3eMnxpt8HAgHu3btHXV2d4V3bbDYuXrzIE088gc1mo729nZ6eHjY3NxN6D3oxrLq6umOX4gWwWq1UVlby5JNPkp6eTnd3N5qmsba2ltSmDn6/n8HBQWpqajCZTLtKARzUnu6xrH6oUChiE0vI79+/T8bCAkVzc1BWBpqGpa0Nra0Nfu7ngPjT7/XDzcrKyqhVC00mk2FlrKysMDQ0hJSS0tJS8vPz48oKjbcYViIIIVhcXKSuro7U1NRdtovT6TzWTUNKSV9fHxcuXNglyoe1pxNCqKJZ0Ui2/aGiWxRnkVhiGE3I5+fnWV1dpSovD1JT4YG4hO12tMVFgLjT7wFGRkbiOtzUa5E3NDRw+fJllpaWuHPnDpOTkzEzJcfGxkhLSzuRg9PJyUmj0FZmZia1tbU0NDQQCAR47bXXGBoawuPxHGnumZkZLBaLcW4Qjb3t6fQD0uXl5WNXrTyMcyfkybY/VCq+4jyxV8g3NjYYGRnhxo0biNxccLvhgYia3W6CBQXIcJjw4CDaP/4j2quv7oyJwfz8PG63O2F/OT09natXr9LU1GT41UNDQ3i9XmPMysoKy8vLSc0K1dnY2GBubm5foa1I28Vut9Pd3U1nZycrKytx2y7b29tMTk5y+fLluMZHVmAE+OEPf0gwGEzsDSWIslYUijNKtJjxSCH3+Xzcu3eP+vp6LO3tmL71LeTsLKK1FVlVBTYbvitXSO/rQ/vBDxDZ2TA9DSMjhN73PtiTsr+5ucno6OiuxJxEsVgsVFZWUl5ezvz8PF1dXUZdlqGhIRoaGpKeFRoMBunt7Y3ZgAJ2PjeHw4HD4WBjY8NIMtKjcGK9Tk/vv3r1asLWjKZpvPDCC3z4wx/mfe97X8LvKxHOhZDfurV7J67/N/bss2rnrHi80Lv5hMNhOjo6uHz5Mum9vZifew6ZkYEwmxHt7Wg/+Qn5mZmE2tvhrW+F1FS01lbExgbSaiXc2IisqTHmDQQCdHd37zrcPO46nU4nDoeD1dVVurq6sNlsRgXCZIm57l2XlZXF7blnZmZSV1dnNFl+7bXXyM/Pp7S0dF90yejoKHl5eWRlZSW8tra2Nm7fvs3toyTCJMi5sFZO0v5QHrniPKFHR/T09OBwOCgYH8f0h38IAwOI3l5EWxtibg4sFgKFhZiGhzG/9BLmf/xHxOwsSIkYGUH77neNOfXDzaqqqmO3kduLXo63vLyc+vp61tfXuXPnDmNjY0np6TkzM4MQYlejjHjRmyw/+eSTZGRkcO/ePTo7O1ldXUVKydraGqurq1RWViY8t8fj4TOf+Qxf+cpXkt6MOhrnQshPkqPeJJTQK04DXRg1TaPMYkG89hrC7QaTCSwWxNbWjkfu82GTEn9qKlvT0wTm5pBWK/h84HKhTU7Cgzhw/XDzoIO8ozI/P8/29jYVFRWkpqbGLANwFDY3N5mcnOTKlSvHWqP+9HDz5k0qKiqMXfq9e/eOFOcupeS5557jQx/6EDURTz0nSVKEXAjxTiHEgBBiWAgRX9HdI3JWKhGqmHPFabC5ucnW1taOwHg8YDYjs7ORmZk7Iu31gs+HWF/H0ttLxtwctsZGtgoKmPP72bDbCV66BCkpYDId+XAzHra2thgdHaW2tjZqGYAnn3yS3Nxc+vr66OjoSOgAUn8qqa2tTWpESFZWlhG+aLfb6erqYnh4eNeh7WH8+Mc/pqenh09/+tNJW9dhHPsTEEKYgD8H3g5MAS1CiP8ppTy4pcUROcmd8Fm5SSgUsP+w0+12Mzc393qKfEYGBINQWQmhEHJubsc+0TRkKARbWwhA/MIvYJ+awt7VhdvnY7G7G9973oNtbe3Yh5ux0Ith1dbWxrQW9DIAhYWFxgHk8PBwXGUABgYGcLlcSS/iBTtPEQA3btxASmkc2qakpFBWVkZWVlbMz2tjY4P/9J/+Ey+++GJSkp3iJRk78ieAYSnlfSmlH/hb4D1JmPehE4+dovx0xWng9/u5d+8elZWVr4tIURHyTW9COp1gt8ODdm3S4UAWFYHVupOK39lJ6AMfIPyRj5DxgQ+Qe+sWoZ/6KTo6OkhNTcXn8yV1rfoBZElJSdxCqx9AxlMGYH5+nkAgkJRm1Hvxer2Mjo4alopuuzzxxBOUl5czOTlJS0sLMzMzUcsf/M7v/A6f/vSnqaioSPraDiIZzyTFwGTE91PAk3sHCSE+AXwCoKysLAmXffioioqK00CPULl06RKapu3ylOW1a8hLlxAdHYjnn0dYrYjNTQiHwe9HBAKYX3oJmZVF+KMf3fHJpWSxvZ26ujrMZjODg4MAlJeXH6uBg8709DRCiISKYenoZQAqKyuZm5ujvb2djIwMysvLycjIMGqXNzc3J/0pQkpJb28v1dXVUZ8isrKyuHbtGl6vl6mpKe7cuUNBQQElJSWkpKTw8ssvs7y8zEc/+tGkriseHlr4oZTyy8CXAZqbm5UEKhRxoItLYWEhBQUFrK6u7k/RX16G731vxyMPhcDj2fnbYkFWVSGdTkytrcif+zlkWRnDw8NkZWUZ2ZV5eXlsbm4yPj7O8PAwpaWlR65wuLGxwczMDE1NTcd639HKAITDYXw+X8za5cdlYmICu91Obm7ugeNSUlKMnppzc3N0dXXx9a9/nddee40f/OAHSY+Tj4dkXHEaKI34vuTBz5LGWbQulJ+ueBiMj48DO7tliJ6iL370I0RLC9r0NNjtyLQ0sFggMxN5/fpOyv6DcKy5uTm2traoqqraNUdGRga1tbXU19cb1kaiIYKBQIDe3t6kFcOC3WUAUlJSMJvN9Pf3H1gG4Ci43W7m5+cTOvTVNA2Xy0VzczOrq6tkZ2fz+c9/PmlrSoRkCHkLcEkIUSmEsAK/CPzPJMxrcBYjRM7izUXxaLG4uMjCwgI1NTWGjbBXyKXPh+zu3tmBS4ksLIScHGReHtJmg7U1WFlB1taykZbG+Pj4gR1zIiscappGa2srAwMDh9YoiYxFj9Xk+TgsLi7i9/u5efPmgWUAjkIoFKK3t5eampoj7aa/853vkJ6eziuvvMKf/MmfHGstR+XY1oqUMiiE+BTwPcAEfE1K2XPslSkUL9G85QAAGixJREFUjzlut5v6+vpd4qJ3vIcH1QwDAcweD8LnA7cbbWsLabEQeuMbEaurO9bKzZt43vEOegYHuXbtWlzheiaTyegUtLCwQHd3NzabjfLy8qhZjqOjo2RkZJxILLrX62V4eNiIrolVBkCPKEmU4eFhXC7XkZKhZmZm+OM//mNu376NEOLEi2PFIilXlVK+BLyUjLl0EknLjzyEVCgeFS5cuLDPPtA0jZTBQbRXXyUcCEB9/U7suMtFOD8f0d+PCIWgooLACy9AYSHhcJjujg4uXLiQcOlYIQRFRUUUFRWxtrZm2C1lZWUUFBQghGB5eZnV1VUaGhqS+faB18veXr58eV/T58gyAOvr64yPj+Pz+Yy1xbO7Xl5eZnt7m+rq6oTXFg6H+eQnP8kf/MEfHOqrnzQimYXX46W5uVm2trbGPf6wCBEVQaKIRAjRJqVsPqXLJ+2/RL22dSS+/n5W/uqvcDY2IjUNMTmJWFqCzEzEygoyPR2Znk74F34B0dmJdv8+c4EAW297G+VPPJGUdW1vbzMxMcHa2hpFRUXMzs7S1NR0IjW3R0ZGAOL2rj0eD5OTkywvL+N0OikuLo55MOr3+2lra6OxsfFIa//qV79Kb28vf/EXf5H0CJoDiHqhxzJFX+3eFecV0+QkIZttJ4zQbIb8/J0Dzqwswo2NUFwMZWVor7yC1t/PmqYRXl2l6sc/hq2tpKwhLS2NK1eu0NDQwNTUFOFwmMnJyaTHo6+srCRc6yTeMgB6rPvFixePJOL379/na1/7Gn/4h3/4MEU8JudCyKNFiBwnOecsHp4qFPGgZWYS2t5+vUmEx0P4iScIv+ENyNRUwtXVhN7xDsTkJJ68PJY3Nii6ehXh9e7s3JPI2NgYpaWlvPGNbyQtLY2Ojg56e3sTbv0WDb/fz8DAAHV1dUc6gDysDIDeKKKgoCDhuYPBIL/5m7/Jn/7pnya9y9FRORfWymEkaq0oK+bR5lGxVvSWYcbEUhLe3mbja19jc3gYW0oK2aWlmH75lyHykC8UQnzhC4y73RRXVWE1mxFTUwR/9VfB6UzK2ubm5pifn+f69evGjlRKyfLyMhMTEwghKC8vJycn50hFpzo6OigpKTmS0MbC7XYzPj6O2+0mGAzyhje84Ujx6F/84hdZX1/nC1/4QtLWlgCPt7Wi0usV5xm9BnnYasX+8Y/j+tSn0N73PjqvX6dzbIz19XVjbFgIei9cwAHY5ufRJicJNzWBw5GUtWxtbTE2NrYrLBJ2Dkbz8/NpbGzk4sWLzMzM0NLSwuzsbMwO89EYHx8nLS0tqSIOYLfbjRDD3NxcWltbY5YBiEVPTw//43/8j1OLF4/FI7EjTzRqJZ4duYqEOb88ijvyUCgUs3Hy2toa4+PjBINBysvLWVpawmazUZmSglhehrQ0ZGXl67uYY66ptbWVmpqauOqoeL1eJicnWVpaOvTwEWB9fZ2BgQGam5tPJENyZGQETdOorKwkFAoxNzfH1NTUrjIAsfD7/fzsz/4sf/mXf3kiETpxEvUf8ZEQ8kSJR8iV/XJ+edSEPN7GyVtbW/T19eF2u7l8+fKR0+xjoSf95OXlJdzIIRgMMjMzw/T0NLm5uZSVlZGamrprTCAQoK2tjevXr59IUtHa2tqueHQdKSUrKytMTEwgpaS0tJT8/Px9n/XnP/957HY7n/vc55K+tgSI+h/AuWj1lmxUer3ivBCviMOO8IdCIZ544glmZma4c+cOLpeL4uLipCSqTE1NYTKZjtSNRz98LCkpYXFxke7ublJSUigvLyczM9OIIqmoqDgREQ8Gg/T39+80qd7zOeplAPLy8tja2mJiYoKRkRGj1ovJZKKlpYWf/OQn/OhHP0r62pLBY7kjj8XeJCSdn/5peAht9xRJ4lHakXu9XqSUh+6s9ZjoGzduGEIYDAaZnp5mZmaGgoICysrK9iXVxItueTQ1NSWljoreSm18fJxQKERaWhrhcJja2tpjzx0N/UnCGedhbyAQYGpqirm5OW7fvs1LL73EN7/5TS5fvnwi60uAx/uwMx5itX37p3861WUpHlP+6I/+iO985zuHHhSGw2Hu3btHdXX1rt2s2WymvLycJ598krS0NNrb2+nr60u4tZrf76evr+/ALvWJIoQgJyeH+vp6SktLjU5FU1NTSS2GBTv1y8PhMI4EDnv1MgBPPPEEAwMDrK2t8dWvfjWp60omSsgVijPKBz7wATo6Onj66af5/9u796iqy3SB49+XjcpEIY1cdFBAvJEpEYrOmZkgA7Q1Kmo2pS5N5HhrhSnHyanjzMpyzUQdV8c1aa4UpqgMp1XHy0zqUUdbaiWIl7yggaLc5BIKqSQh8J4/YHOwuO3Nvvt81nIt9mb/fu+zdfns335/z/u8mzZtardxVW5ubsvUQFuMXfrGjBmDj48POTk5nDp16o5Kl/YY58UHDRr0kzltS2hoaGjpLx4REUFdXR1ZWVlcvHjRpGqS9tTW1pKfn2/W3pvQtG1bdXU1ubm5vPDCC92Ox1okkbcjOlrKFYV9BQYGsnbtWvbt20dVVRXR0dGsWbOG6urqltdcuXKFurq6lja3HVFK4evry+jRowkMDOTy5cscO3aMysrKdvfKzM/Px8vLy+KlgEbnz59nwIAB3HvvvfTs2ZOQkBDGjBmDh4cHx48fJycnhxozV6S27tNiTr34d999x0svvURqaioGg8FqfweWIHPkXSAVLM7FVebIf6ympobU1FTS0tKIi4tj7NixfP/990yfPt3sKY+ampqWRTKBgYH4+/u3zMdXVlZSUFBARESEVZahl5aWUllZ2W5bXa01lZWVFBYWYjAYCAoKwtvbu8uxGBt8DRkyxOTYtNYsXryY2NhY5s6da/LxViRz5EI4M09PT5YuXcqxY8cIDg5m0aJFHDhwgPz8/G6dc/jw4YSHh3Pz5k0yMzMpLCzk5s2b5OXlMXLkSKskceMHSEdTHsZvEKNGjSIkJITi4mKOHj1KWVlZp/cNbty4QUVFhUkbRbT22WefUVNTw5w5c8w6PjExET8/P0aMGNHy3KpVqwgICCA8PJzw8HB27rRcw9i7svzQVFKuKBxJjx49UErx97//ndraWpYsWYKvry/Jyck8/PDDZiXeXr16MWTIEAYOHNiyH6VxKzhLa2xs5OzZswwfPrzLZZFeXl4t+2UWFhZy6dKldksrjRtFPPjgg2bV0VdUVLB69Wr27dtndh1+QkICSUlJPPPMM3c8n5yczO9//3uzztkRSeRdIPPiwtEkJSW1/Dx58mQOHTpESkoKtbW1JCcnEx0dbXazqdraWgYNGkTPnj05ceIEXl5eBAUFWay+Ozc3l759++Ll5WXysR4eHgwdOrSltPLo0aP06dOHwMBAPDw8AMjLyzN7o4jGxkaWLVvGq6++2q0PsqioKC5fvmz28aaSqRUhnJxSiqioKP7xj3/w5ptvsmXLFmJjY9m6davJpXylpaUtN0/NrXTpSEVFBT/88AMDBgzo/MUdaF1a6eXlxalTpzh9+jSFhYXcunWL/v37m3XeLVu24OXlxdSpU7sVX3vWrVtHWFgYiYmJVFVVWey8ksiFcBFKKcLCwvjggw/IyMjgq6++IioqinfffbdL+1revHmTgoKCO5phmVPp0p5bt26Rn5//k2Zb3eHm5kbfvn2JjIzE39+fCxcuUF9fz9WrV02Or7i4mLfeeou//vWvVrkv8Oyzz3Lx4kVOnjxJv379WL58ucXOLYlcCBc0cOBA1q1bx549eygrKyM6Opq1a9dy/fr1Nl9fX1/P2bNnGTFiRLvz1t7e3jz00EOEhoZSUVFBVlZWlzsbNjY2cubMGUJDQ80qBeyKK1euMHLkSIYPH05FRQWZmZmUlJR06VuJcdu2NWvW4O3tbZX4/P39MRgMuLm5sWDBArKysix2bknkQrgwX19fVq9ezZdffkmvXr2Ii4vj5Zdfpry8vOU1WmtycnIIDAzs0rxye5UurXun/9jFixfx8fGxWpIsKSmhV69e+Pr6tsQXERFBbW0tWVlZnbarTU1NZdiwYcTGxlolPmiatjLaunXrHRUt3SV15MLluGoduSXU1dXx4Ycfsn79ekaNGsXzzz9PUVERfn5+PPDAA2ads7OeLlevXqWgoMDsiprO1NTUcPr0aSIjI9usp29oaKC0tJTi4mJ69+5NYGDgHTv75OXlMW/ePA4fPmyxG7ozZ87k888/p7KyEn9/f1555RU+//xzTp48iVKK4OBg3nnnnS73fmlF2tiKu4Mk8s41NDSwY8cOVq1axfXr13n//fe7vfCnsbGRsrIyioqKWipdDAYDx48fN3uD466MeezYMYYNG9ZpFcyPFxgFBwfj6enJxIkTWbNmDb/85S8tHp8VyIIgIUQTg8FAfHw8np6evPbaa/z5z3/miSee4ODBgybt5tNaWz1djhw5QkBAgFWSODS1EPDx8elSKWPrBUYDBw7kiy++YMyYMfj5+REZGWmV+GxFErkQdymDwcD+/fuZMWMGu3btIiUlhfT0dCZMmMCOHTvM7kJoTJjGRl5VVVVmV7p0pLq6murqaoKDg00+tnfv3gwYMAAvLy8CAwP55JNPLBaXPcjUinA5MrXSPRcvXmTNmjVkZmaycOFCnn76aZOvqI278URERODm5tZhTxdz1NfXk52dzUMPPWRWV8YffviB8ePHk5aWRlhYmNlx2IFMrQghOjdo0CA2bNjAzp07KSgoICoqirfeeosbN2506fjbt29z7ty5O5bIm1Pp0pHz588TFBRkdmvdv/zlLzz55JPOlsTbJYlcCNGmvn378tprr3H48GGUUsTGxrJ69Wq+/fbbdo8xto5tr3+5sadLZGQkjY2NHD16lAsXLpjUe7ysrAyttTkVHwAcOXKErKysbi3Iaasp1rVr14iLi2PIkCHExcVZdOVmZySRCyE61Lt3b1asWMHRo0cZOHAgU6dOZfny5RQWFv7ktUVFRXh4eODn59fhOd3d3QkODjZ596La2louXbpEaGioWe/l5s2bLF++nNTU1G7tY5qQkMDu3bvveC4lJYWYmBjy8vKIiYkhJSXF7PObyuESuTSoEsIxeXh4sHDhQrKzs3nsscdITExk/vz5nD17Fq01169fp6ysjKFDh3b5nKbsXtTdjSK01vzpT39i4cKFZvUoby0qKoqf//zndzy3ffv2lt7lc+fOZdu2bd0awxTdutmplPovYDJQB1wE5mmtqzs+quObnc64icOqVfIB5EjkZqdtNDY2sn//ft544w3c3Nz47rvv2Lp1q1ldDVszbspcX19PUFAQffr0QSnVrY0iAP71r3/x9ttv89lnn3XrRqvR5cuXmTRpEmfOnAGaWhgYd2/SWnP//fffsZuThVjlZudeYITWOgzIBV7q5vmc0iuv2DsCIWzPzc2N2NjYlikGd3d3fve737Fz506za9Gh7Z4uly5dory83OyNIqqqqli5ciWbNm2ySBLvjFLKKqtY29Otd6S13qO1Nt52PgKY1Tty1SrZH1MIZ6W1JiEhgUOHDpGWlsaePXt49NFH+eijj7h9+7bZ5zVWuowcObKlwqW4uNjk+natNS+88AJ/+MMfzG5v2xX+/v4t/VRKS0s7vU9gSZb8aEoEdrX3S6XUQqVUtlIq+8d3vVetappOMU6pGH925EQuHz5CNDEYDMyYMQOAoUOHsnHjRnbs2EFubi6PPPIIb7/9ttkbKAMUFhYSEhLC2LFjaWxsJCsry6RKl+3bt3P79m1mzZpldgxdER8fT3p6OgDp6elMmTLFquO11ukcuVJqH9C3jV+t1Fpvb37NSmA08ITuwqS7q82RO2PMrszV5sh3797N0qVLaWhoYP78+bz44ouWHsJqqqqq2LBhAxkZGUyZMoVFixbRp0+fLh9fWVlJUVER4eHhLVMVbfV0aa/ZVXl5OfHx8ezfvx9fX1+LvCdouynW1KlTeeqppygsLCQoKIiPP/74JzdELcA6TbOUUgnAIiBGa91x7VCzjhK5M944lETuWFwpkTc0NDB06FD27t1L//79iYyMJCMjg+HDh1tyGKu7desW7733Hu+88w6PPPIIS5Ys6XSao66ujmPHjjFq1Kg7uikaGZtgFRQU0LNnT4KCgujdu3fL7xsbG5k1axbz588nPj7e4u/JTix/s1Mp9TiwAojvahLvjLMlcZDNmYX1ZGVlMXjwYEJCQujZsyczZsxg+/bt9g7LZD/72c949tlnyc7O5le/+hVz5sxh0aJFnDt3rs3+K8Ye6YMHD24ziUPnuxdt3rwZHx8fJk+ebO23Z3fd3Xx5HdAL2Nv8teeI1npxt6NyMs744SOcQ0lJyR37W/bv35/MzEw7RtQ97u7uzJw5k6effpq9e/eyYsUKPD09SU5OZsyYMS3TJ603iugKb29vvL29qamp4fLlyyQkJHDlypWWVamurluJXGs92FKBCCHuHm5ubkyYMIHx48eTlZXF66+/zrVr11i2bBlBQUGUlJQQHR1t8nk9PT0JDQ3Fzc2NiIgIkpOT+eCDD6zwDhyLw63sFEL8v4CAAIqKiloeFxcXExAQYMeILEspxdixY/n000/ZsGEDW7du5be//S0nTpwwuxZ948aNjBgxgs2bN/P+++9bOGLH1N2pFSGEFUVGRpKXl8elS5cICAhgy5YtfPTRR/YOy+KUUjzwwAOEhYUREBBAVVUVUVFRzJs3j9mzZ3d5C7ZvvvmGjIwMDh06dFdMqRhJIhfCgbm7u7Nu3TomTJhAQ0MDiYmJPPjgg/YOy2oWL16Mh4cHBoOBq1evsn79esaNG8f06dNZsGAB999/f7vH3r59m6SkJDZs2GB2e9sfCw4O5r777sNgMODu7o6j7qMgG0sIl+NK5YcCvv/+e9LS0khNTWXcuHEkJSXxi1/84ieve/3119Fa8+qrr1ps7ODgYLKzs/Hx8bHYObtJNpYQ4m4WHBzMyJEjCQ8PZ/Roe33Ome6ee+5hyZIlZGdnM3r0aGbOnMlzzz1Hbm5uS+niyZMn2bt3L3/84x/tHK19SCK3EClBFM7gwIEDnDx50mGnCDrSo0cPZs+eTWZmJtOnT2fZsmXMnj2bL7/8kueff55Nmza1W3NuLqUU48ePZ9SoUWzcuNGi57YkmSO3kFdekWQuhC24ubkxadIkJk6cyBdffMGyZcsICwuzyr2Dw4cPExAQQEVFBXFxcYSGhhIVFWXxcbrLKa/IJWEKYTpnubrsKqUUv/nNb8jOziYtLc0qYxhLPf38/Jg2bRpZWVlWGae7nDKRO0r/b+mAKJzJ4cOHOX78OLt27WL9+vUcPHjQ3iFZjDVKDWtqalo2nK6pqWHPnj137NHpSGRqpRtaN/iSxlnC0bV1demI0wSOory8nGnTpgFQX1/PrFmzePzxx+0cVduc5opcrn6FMJ8zXV06ipCQEL7++mu+/vprzp49y8qVK+0dUruc5orc0a9+pQOicGTOdHUpTOeUC4IcMZELxyELgoQLc50FQXL1K4TtJCYm4ufnd8dUzLVr14iLi2PIkCHExcVRVVVlxwiFUyZymRcXwnYSEhLYvXv3Hc+lpKQQExNDXl4eMTExpKSk2Ck6AU6ayIUQthMVFfWTvSe3b9/O3LlzAZg7dy7btm2zR2iimSRyIYTJysvL6devHwB9+/alvLzczhGZbvfu3QwbNozBgwc7/TcKSeRCiG5RSjld7++Ghgaee+45du3aRU5ODhkZGeTk5Ng7LLNJIhdCmMzf35/S0lIASktL8fPzs3NEpnGVTa2NJJELIUwWHx9Peno6AOnp6UyZMsXOEZmmrU2tS0pK7BhR99iljlwp9S1QYIOhfIBKG4wj4zvW+EFa665tvy46pZTKAB6l6d+zHHgZ2AZ8DATS9H/5Ka31NXvFaCql1JPA41rr+c2P5wBjtdZJ9o3MPHZZ2Wmr/2RKqWw7LgyR8e08vrAMrfXMdn4VY8p5lFJ/AyYBFVrrEc3PrQIWAN82v+w/tdY7zQzVFCXAgFaP+zc/55RkakUIYSvvAW31BfhvrXV48x9bJHGAo8AQpdRApVRPYAaww0ZjW5zT9FoRQjg3rfVBpVSwveMA0FrXK6WSgP8FDMDftNZn7RyW2Vw9kdu7e76ML0TnkpRSzwDZwHKttU3W+zdf/dvqG4BV2eVmpxDi7tR8Rf7PVnPk/jTdENfAaqCf1jrRbgE6KZkjF0LYjda6XGvdoLVuBDYBY+wdkzOSRC6EsBulVL9WD6cBZ+wVizNzyUSulHpcKfWNUuqCUupFO4w/QCl1QCmVo5Q6q5RaausYmuMwKKVOKKX+aYexvZVSnyilziulziml/s3WMQjH0lyP/hUwTClVrJT6d+ANpdRppdQpYByQbNcgnZTLzZErpQxALhAHFNNUZjRTa22zRgrNVxn9tNbHlVL3AceAqbaMoTmO/wBGA15a60k2HjsdOKS1Tm0u77pHa11tyxiEuFu44hX5GOCC1jpfa10HbAFsun5Ya12qtT7e/PMN4BwQYMsYlFL9gYlAqi3HbR67NxAFpAForeskiQthPa6YyAOAolaPi7FxEm2t+S79w0CmjYdeC6wAGm08LsBAmlbqvds8tZOqlPK0QxxC3BVcMZE7DKXUvcCnwDKt9XUbjmtcBn3MVmP+iDsQAWzQWj8M1AA2v1chxN3CFRO5Q/RQUEr1oCmJb9Za/4+Nh/81EK+UukzT1NJjSqkPbTh+MVCstTZ+C/mEpsQuhLACV0zkdu+hoJq67KcB57TWb9pybACt9Uta6/5a62Ca3v9+rfVsG45fBhQppYY1PxUDOG/XfiEcnMst0XeQHgq/BuYAp5VSJ5ufs1VXN0exBNjc/GGaD8yzczxCuCyXKz8UQoi7jStOrQghxF1FErkQQjg5SeRCCOHkJJELIYSTk0QuhBBOThK5EEI4OUnkQgjh5P4PNZItA/fc2zIAAAAASUVORK5CYII=\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
@@ -224,8 +223,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Compute partial Gromov-Wasserstein plans and distance,\n",
- "by transporting 100% and 2/3 of the mass\n",
+ "Compute partial Gromov-Wasserstein plans and distance\n",
"-----------------------------------------------------\n",
"\n"
]
@@ -242,13 +240,13 @@
"output_type": "stream",
"text": [
"-----m = 1\n",
- "Partial Wasserstein distance (m = 1): 63.419317539744505\n",
- "Entropic partial Wasserstein distance (m = 1): 64.89236221074341\n"
+ "Wasserstein distance (m = 1): 62.612867557378095\n",
+ "Entropic Wasserstein distance (m = 1): 64.09799387131392\n"
]
},
{
"data": {
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\n",
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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -263,13 +261,13 @@
"output_type": "stream",
"text": [
"-----m = 2/3\n",
- "Partial Wasserstein distance (m = 2/3): 0.17456327357887044\n",
- "Entropic partial Wasserstein distance (m = 2/3): 1.070213997054379\n"
+ "Partial Wasserstein distance (m = 2/3): 0.252736149616858\n",
+ "Entropic partial Wasserstein distance (m = 2/3): 1.407282181449262\n"
]
},
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
@@ -284,27 +282,27 @@
"C1 = sp.spatial.distance.cdist(xs, xs)\n",
"C2 = sp.spatial.distance.cdist(xt, xt)\n",
"\n",
+ "# transport 100% of the mass\n",
"print('-----m = 1')\n",
"m = 1\n",
- "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m,\n",
- " log=True)\n",
+ "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n",
"res, log = ot.partial.entropic_partial_gromov_wasserstein(C1, C2, p, q, 10,\n",
" m=m, log=True)\n",
"\n",
- "print('Partial Wasserstein distance (m = 1): ' + str(log0['partial_gw_dist']))\n",
- "print('Entropic partial Wasserstein distance (m = 1): ' +\n",
- " str(log['partial_gw_dist']))\n",
+ "print('Wasserstein distance (m = 1): ' + str(log0['partial_gw_dist']))\n",
+ "print('Entropic Wasserstein distance (m = 1): ' + str(log['partial_gw_dist']))\n",
"\n",
"pl.figure(1, (10, 5))\n",
"pl.title(\"mass to be transported m = 1\")\n",
"pl.subplot(1, 2, 1)\n",
"pl.imshow(res0, cmap='jet')\n",
- "pl.title('Partial Wasserstein')\n",
+ "pl.title('Wasserstein')\n",
"pl.subplot(1, 2, 2)\n",
"pl.imshow(res, cmap='jet')\n",
- "pl.title('Entropic partial Wasserstein')\n",
+ "pl.title('Entropic Wasserstein')\n",
"pl.show()\n",
"\n",
+ "# transport 2/3 of the mass\n",
"print('-----m = 2/3')\n",
"m = 2 / 3\n",
"res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n",