From 3e5b9029f4bb41877acbbee72b759b586dec7d93 Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Thu, 3 Nov 2022 13:48:49 +0000 Subject: [PATCH 1/8] Added draft physics example code --- .gitignore | 0 chapters/Chapter 2 - Generative Models.ipynb | 613 ++++++++++++++----- 2 files changed, 460 insertions(+), 153 deletions(-) delete mode 100644 .gitignore diff --git a/.gitignore b/.gitignore deleted file mode 100644 index e69de29..0000000 diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 4406ac0..e6d0521 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-09-11T05:34:01.171283Z", @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.954079Z", @@ -188,7 +188,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.966215Z", @@ -202,7 +202,7 @@ "tensor(0.)" ] }, - "execution_count": 3, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -220,7 +220,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.977154Z", @@ -235,12 +235,12 @@ "tensor(0.)\n", "tensor(0.)\n", "tensor(1.)\n", - "tensor(1.)\n", - "tensor(1.)\n", + "tensor(0.)\n", "tensor(1.)\n", "tensor(1.)\n", "tensor(0.)\n", "tensor(0.)\n", + "tensor(1.)\n", "tensor(0.)\n" ] } @@ -262,7 +262,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.179095Z", @@ -272,14 +272,12 @@ "outputs": [ { "data": { - "image/png": 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gV7x522nXHBHrgCeARzPz1zPzTLg/Rq/X+bbMvDQz3w/sAo5l5s53+LPWitOumdnf6uhExPa57Y8A/zTkGfut15q/C7w3fvj+x3Us8RbAa8mw+7Xqg1/x5m0N1vwLzL6nuycinpv778EWR16xhq/zGaXXmjPzNeCjwAMR8S/AzwCfbW/ilWuw5hPADcCjEfEC8AngxtYGHpC2+uXN0ySpiFV/hS9J6g+DL0lFGHxJKsLgS1IRBl+SijD4klSEwZekIgy+JBXxfxuYL7zXBFF1AAAAAElFTkSuQmCC\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -301,7 +299,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.189771Z", @@ -314,15 +312,15 @@ "output_type": "stream", "text": [ "tensor(2.)\n", - "tensor(2.)\n", + "tensor(0.)\n", "tensor(1.)\n", + "tensor(3.)\n", "tensor(1.)\n", - "tensor(0.)\n", - "tensor(2.)\n", - "tensor(2.)\n", "tensor(2.)\n", + "tensor(1.)\n", "tensor(2.)\n", - "tensor(1.)\n" + "tensor(1.)\n", + "tensor(2.)\n" ] } ], @@ -342,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.420548Z", @@ -353,14 +351,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -381,7 +377,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.428745Z", @@ -393,15 +389,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "6\n", - "3\n", "3\n", "6\n", "3\n", "3\n", + "6\n", "3\n", "3\n", "6\n", + "6\n", "3\n" ] } @@ -439,7 +435,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.551430Z", @@ -449,14 +445,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -474,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.667676Z", @@ -484,14 +478,12 @@ "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -509,7 +501,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.062047Z", @@ -519,38 +511,32 @@ "outputs": [ { "data": { - "image/png": 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", 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\n", 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", 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\n", 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", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -576,7 +562,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.182216Z", @@ -586,14 +572,12 @@ "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -623,7 +607,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.553350Z", @@ -633,14 +617,12 @@ "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -674,7 +656,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.558869Z", @@ -686,7 +668,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "False\n" + "True\n" ] } ], @@ -710,7 +692,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.573144Z", @@ -721,13 +703,13 @@ { "data": { "text/plain": [ - "{'cough': True,\n", + "{'cough': False,\n", " 'fever': False,\n", " 'chest_pain': False,\n", " 'shortness_of_breath': False}" ] }, - "execution_count": 15, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -805,7 +787,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.580210Z", @@ -819,7 +801,7 @@ "[tensor(1.), tensor(0.)]" ] }, - "execution_count": 16, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -842,7 +824,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.738946Z", @@ -852,14 +834,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -901,7 +881,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.853107Z", @@ -920,14 +900,12 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -940,7 +918,7 @@ "print('sample ', d.sample())\n", "\n", "# compute the log-probability of sampling true:\n", - "print('log prob ', d.log_prob(False))\n", + "print('log prob ', d.log_prob(torch.tensor(1.0)))\n", "\n", "# visualize the distribution:\n", "plt.xticks([0, 1], labels=['heads', 'tails'])\n", @@ -963,7 +941,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.860283Z", @@ -975,8 +953,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "sample tensor(-0.2089)\n", - "foo tensor(0.7000)\n" + "sample tensor(0.1262)\n", + "foo tensor(1.4472)\n" ] } ], @@ -1015,7 +993,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.866367Z", @@ -1033,7 +1011,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.536841Z", @@ -1045,19 +1023,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.0893535315990448, 0.006774185691028833, 0.4481070935726166, -0.027167800813913345, -2.064568042755127]\n" + "[-1.5131422281265259, 0.08064248412847519, -0.058025866746902466, 0.3957633674144745, 0.5320090055465698]\n" ] }, { "data": { - "image/png": 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AGcC/AJ/IzCMRsRn4EvBK1fWxzNzareIlSXM34xZBRJwD3AlcClwAbImI89u67QT+ODPfDwwAf1i1rwM+k5kXVv8ZApK0wNTZNbQB2JOZr2bmQWAXcM3Uyoh4L3BqZn6vanoAuLa6vQ7YHBH7I2JnRJzZvdIlSd1QZ9fQWmC0ZXkUuGSG9ee23P4isA+4C7gH2FS3uKGhlXW7dk0n130pifOycCyGf4vFUON8W8hzUicIBqZpm6yzPjOvmmqIiC8DP+ykuPHxCSYnj3UyZE4ajVWMjXkll3YLdV4W8gurlxbiv0Wrhfp86af5mpPBwYFZfYCus2toBHh3y/Ia4MBM6yPijIj4dEv7AHC44wolST1VJwieAtZHRCMiTgOuBp6YWpmZLwNvRsSvVE2bgceBCeCWiPhw1f5J4Ltdq1yS1BUzBkFmjgBbgb3A88BwZu6LiN0RcXHVbROwPSJeAk4HvpqZR4HrgB1V+0XALb14EJKk2at1HkFmDgPDbW1XtNzez89+gTzV/jTwoTnWKEnqIX+YRguGP0Y/M3/RTL3gq04Lhj9GPzN/0Uy94LWGJKlwBoEkFc4gkKTCGQSSVDiDQJIKZxBIUuEMAkkqnEEgSYXzhDL1jGcK91+nZyIfeusoy5ct6eg+PHt58fNVqp7xTOH+m82ZyJ30nxrj2cuLm7uGJKlwBoEkFc4gkKTCGQSSVDiDQJIKZxBIUuE8fLRQnR7j32is8nhxTWu6cxVOdO6Cz6OFxyAoVKfH+IPHi2t6/mra4mcQqLZOz1KVtDgYBAtUp7tu5mNzezaf/CQtfLXeaSJiI7ANWAZsz8x729ZfCPwNcAbwL8AnMvNIRJwH7ATOBhLYlJkTXay/b3r9Rt3prpu/++Jv+mldi0KnW5Z+p9B7M76TRcQ5wJ3ARcAh4NmI2JuZL7Z02wncmJnfi4hvAH8I7ADuA+7LzG9HxG3AbcCt3X4Q7WZzsbNDbx0FTvwlV7uFtF/UT+taLDp9rnb6IafTC+cZNPW2CDYAezLzVYCI2AVcA3yhWn4vcGpmfq/q/wBwR0TcD1wO/HZL+z9TLwiWAAwODtR6EO1WLD+FP/jzJzsa841tH+1ozDe2fZSzzzy1o/vo9PF0+vd73X8+7mOh9Z+P+1js/Xt9H8uWLun4tdlJ/x23ru8saA4dYWLizdr9p8z2/WyW99HRJWQHjh07dsIOEfGnwOmZua1avhG4JDO3VMu/BHwlMy+tln8e2A38KvD9zDy3aj8F+L/MXFajrkuBpzt5IJKkt10GPFO3c50tgulibLLG+pnGncj3aT6QUeBozTGSVLolwBqa76G11QmCEZpvylPWAAfa1r97mvVjwOqIWJKZR6cZdyKH6CDNJElv++9OB9S5xMRTwPqIaETEacDVwBNTKzPzZeDNiPiVqmkz8HhmHqa5e+f61vZOC5Qk9daMQZCZI8BWYC/wPDCcmfsiYndEXFx12wRsj4iXgNOBr1btNwFbIuJFmlsV27r9ACRJczPjl8WSpJObVx+VpMIZBJJUOINAkgpnEEhS4bz66HFExAeB72Xm8n7X0m/VocF/CSwFxoGPV4cNF2mmizCWKiL+DLiuWnwsM2/pZz0LTUR8BWhk5g39rqWdWwTTqM6XuIfmC13wTeAPMvPC6vZXZ+h/0mq5COOlwAU0D48+v79V9V9EbAA+CnwQuBC4KCKu6m9VC0dErAdu6Hcdx2MQTO9uYHu/i1gIImI5sC0zX6iaXgDO62NJ/fb2RRgz8yAwdRHG0o0CN2fmW9XJpC9R9vPkbRFxFs0PD3f1u5bjcddQm4j4LeC0zNwVEf0up+8y8xDNy4wTEYPA7cBD/aypz9bSfNObMgpc0qdaFozM/I+p2xHxCzSvKPDL/atoQfk6zZNy39PvQo6n2CCIiGt556f+/wRW0/zUV5zjzUlmboiIZcCDNJ8zC/aTzTyYy8UUT3oR8YvAY8BnM/O/+l1Pv1VXa/5JZv5TRNzQ73qOxzOLW1T/aH8Kb/+GzAXAfuCyzCz297YjYiXw9zS/KP7daiuhSBHxezSfDzdWy7cBA5n5hf5W1n/VQQV/B3wqM7/d73oWgoj4R5oX3DwCnAWsBB7MzE/3tbA2BsEJRMSxzOz9r0kscBHxEPC/wB9lZtFPmOrL4mdo7g46CDwLbMnMfX0trM8i4j3AvwHXZ+aeftezEFVbBB9ZiEcNFbtrSPVUh9FeCbwI/Hv1vcmBzLyir4X1SWaORMTURRiXAfeXHgKVzwIrgL9o+W7ta5n5tf6VpLrcIpCkwnn4qCQVziCQpMIZBJJUOINAkgpnEEhS4QwCSSqcQSBJhTMIJKlw/w+mOhlad44bmgAAAABJRU5ErkJggg==\n", + "image/png": 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", "text/plain": [ - "
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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1124,7 +1100,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.543290Z", @@ -1135,10 +1111,10 @@ { "data": { "text/plain": [ - "[tensor(0.), tensor(0.)]" + "[tensor(1.), tensor(0.)]" ] }, - "execution_count": 22, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -1164,7 +1140,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.553548Z", @@ -1175,10 +1151,10 @@ { "data": { "text/plain": [ - "[tensor(1.), tensor(0.)]" + "[tensor(0.), tensor(0.)]" ] }, - "execution_count": 23, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -1221,7 +1197,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.562675Z", @@ -1233,10 +1209,10 @@ { "data": { "text/plain": [ - "tensor(0.)" + "tensor(1.)" ] }, - "execution_count": 24, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -1256,7 +1232,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.601527Z", @@ -1268,10 +1244,10 @@ { "data": { "text/plain": [ - "0.754" + "0.716" ] }, - "execution_count": 25, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -1324,7 +1300,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.934199Z", @@ -1338,20 +1314,18 @@ "" ] }, - "execution_count": 26, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1386,7 +1360,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.938827Z", @@ -1410,7 +1384,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.948255Z", @@ -1424,7 +1398,7 @@ "text": [ "bob green\n", "alice blue\n", - "bob brown\n" + "bob green\n" ] } ], @@ -1459,7 +1433,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.958143Z", @@ -1470,19 +1444,19 @@ { "data": { "text/plain": [ - "[tensor(8),\n", + "[tensor(5),\n", + " tensor(1),\n", + " tensor(8),\n", + " tensor(0),\n", " tensor(7),\n", + " tensor(2),\n", " tensor(9),\n", " tensor(9),\n", - " tensor(5),\n", - " tensor(0),\n", - " tensor(1),\n", - " tensor(8),\n", - " tensor(1),\n", - " tensor(4)]" + " tensor(9),\n", + " tensor(8)]" ] }, - "execution_count": 29, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -1503,7 +1477,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.968331Z", @@ -1514,19 +1488,19 @@ { "data": { "text/plain": [ - "[tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3),\n", - " tensor(3)]" + "[tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8)]" ] }, - "execution_count": 30, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -1548,7 +1522,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.976548Z", @@ -1560,9 +1534,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "bob blue\n", - "alice green\n", - "bob blue\n" + "bob green\n", + "alice blue\n", + "bob green\n" ] } ], @@ -1591,7 +1565,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.986767Z", @@ -1602,11 +1576,11 @@ { "data": { "text/plain": [ - "[[tensor(1.), tensor(1.), tensor(0.), tensor(0.)],\n", - " [tensor(1.), tensor(1.), tensor(0.), tensor(0.)]]" + "[[tensor(1.), tensor(1.), tensor(1.), tensor(1.)],\n", + " [tensor(1.), tensor(1.), tensor(1.), tensor(1.)]]" ] }, - "execution_count": 32, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" } @@ -1720,6 +1694,27 @@ "```" ] }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "from copy import deepcopy\n", + "import pyglet\n", + "from pyglet.gl import *\n", + "from pyglet.window import key, mouse\n", + "\n", + "import pymunk\n", + "import pymunk.pyglet_util\n", + "from pymunk import Vec2d\n", + "\n", + "import pyro\n", + "import pyro.distributions as dist\n", + "from pyro.infer import Importance, EmpiricalMarginal\n", + "import torch" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1727,12 +1722,319 @@ "hidden": true }, "outputs": [], - "source": [] + "source": [ + "def dim():\n", + " # function to generate widths/heights of blocks\n", + " return np.randint(50, 100)\n", + "\n", + "class Block:\n", + " def __init__(self, width=None, height=None, x=0, y=0, is_first=False, is_static=False):\n", + " self.w = width\n", + " self.h = height\n", + " self.x = x\n", + " self.y = y\n", + " self.is_first = is_first\n", + " self.is_static = is_static\n", + "\n", + " if not self.w:\n", + " self.w = dim()\n", + " if not self.h:\n", + " self.h = dim()\n", + "\n", + " def to_tensor(self):\n", + " self.w = torch.tensor(self.w)\n", + " self.h = torch.tensor(self.h)\n", + " self.x = torch.tensor(self.x)\n", + " self.y = torch.tensor(self.y)\n", + " return self\n", + "\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "class Simulate:\n", + " def __init__(self, world=None, num_blocks=5):\n", + " self.world=world\n", + " self.num_blocks = num_blocks\n", + "\n", + " # create the simulation world\n", + " self.create_world()\n", + " \n", + " def create_world(self):\n", + " # Create the simulation world\n", + "\n", + " self.space = pymunk.Space()\n", + " self.space.gravity = Vec2d(0.0, -200.0)\n", + " self.space.sleep_time_threshold = 1\n", + "\n", + " # add the floor - other walls/bounds could be added here\n", + " static_lines = [\n", + " pymunk.Segment(self.space.static_body, Vec2d(-WORLD_WIDTH, FLOOR_HEIGHT), Vec2d(WORLD_WIDTH*2, FLOOR_HEIGHT), 1),\n", + " ]\n", + "\n", + " for l in static_lines:\n", + " l.friction = 0.3\n", + " self.space.add(*static_lines)\n", + "\n", + " # create the blocks\n", + "\n", + " if not self.world:\n", + " prev_block = self.add_block(None)\n", + " for _ in range(self.num_blocks-1):\n", + " next_block = self.add_block(prev_block)\n", + " prev_block = next_block \n", + "\n", + " else:\n", + " for item in self.world:\n", + " self.add_block(new_block=item)\n", + "\n", + " return 1\n", + "\n", + " def add_block(self, prev_block=None, new_block=None):\n", + " # function for creating and positioning blocks\n", + "\n", + " if new_block == None:\n", + " block = Block()\n", + " if prev_block == None:\n", + " block.is_first = True\n", + " block.x = X_CENTRE\n", + " block.y = FLOOR_HEIGHT + block.h/2\n", + "\n", + " else:\n", + " block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", + " block.y = prev_block.y + prev_block.h/2 + block.h/2\n", + "\n", + " else:\n", + " block = new_block\n", + "\n", + " # pymunk box coords are at Centre of Mass !\n", + "\n", + " mass = block.w*block.h/100\n", + " moment = pymunk.moment_for_box(mass, (block.w, block.h))\n", + " body = pymunk.Body(mass, moment)\n", + " body.position = Vec2d(block.x, block.y)\n", + " shape = pymunk.Poly.create_box(body, (block.w, block.h))\n", + " shape.friction = 0.3\n", + " shape.color = (randint(50,150), randint(50,150), randint(100,255), 255)\n", + " self.space.add(body, shape)\n", + " return block\n", + "\n", + "\n", + " def update(self, dt):\n", + " # Here we use a very basic way to keep a set space.step dt.\n", + " # For a real game its probably best to do something more complicated.\n", + " step_dt = 1 / 250.0\n", + " x = 0\n", + " while x < dt:\n", + " x += step_dt\n", + " self.space.step(step_dt)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "class Animate(pyglet.window.Window):\n", + " # main class for simulation\n", + "\n", + " def __init__(self, world=None, num_blocks=5):\n", + "\n", + " self.world=world\n", + " self.num_blocks=num_blocks\n", + "\n", + " #set the window size\n", + " pyglet.window.Window.__init__(self, width=WORLD_WIDTH, height= WORLD_HEIGHT, vsync=False)\n", + " self.set_caption(\"2D Boxes\")\n", + "\n", + " # sets how frequently self.update gets called once sim starts\n", + " pyglet.clock.schedule_interval(self.update, 1 / 60.0)\n", + " # display FPS\n", + " self.fps_display = pyglet.window.FPSDisplay(self)\n", + "\n", + " # create the simulation world\n", + " self.simulation = Simulate(self.world, self.num_blocks)\n", + " self.simulation.create_world()\n", + "\n", + " # add draw options\n", + " self.draw_options = pymunk.pyglet_util.DrawOptions()\n", + " self.draw_options.flags = self.draw_options.DRAW_SHAPES\n", + "\n", + " def update(self, dt):\n", + " # Here we use a very basic way to keep a set space.step dt.\n", + " # For a real game its probably best to do something more complicated.\n", + " # step_dt = 1 / 250.0\n", + " # x = 0\n", + " # while x < dt:\n", + " # x += step_dt\n", + " # self.space.step(step_dt)\n", + " self.simulation.update(dt)\n", + "\n", + " def on_key_press(self, symbol, modifiers):\n", + " # fire a ball at the blocks to get them to move\n", + " if symbol == key.SPACE:\n", + " mass = 100\n", + " r = 15\n", + " moment = pymunk.moment_for_circle(mass, 0, r, (0, 0))\n", + " body = pymunk.Body(mass, moment)\n", + " body.position = (0, 165)\n", + " shape = pymunk.Circle(body, r, (0, 0))\n", + " shape.friction = 0.3\n", + " shape.color = (255, 150, 150, 255)\n", + " self.simulation.space.add(body, shape)\n", + " f = 50000\n", + " body.apply_impulse_at_local_point((f, 0), (0, 0))\n", + " elif symbol == key.ESCAPE:\n", + " pyglet.app.exit()\n", + " elif symbol == pyglet.window.key.P:\n", + " pyglet.image.get_buffer_manager().get_color_buffer().save(\n", + " \"box2d_vertical_stack.png\"\n", + " )\n", + "\n", + " def on_draw(self):\n", + " self.clear()\n", + " self.fps_display.draw()\n", + " self.simulation.space.debug_draw(self.draw_options)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def does_tower_fall(initial_w, final_w):\n", + " # here we compare the intial and final world states and see whether the highest block is roughly in the same place\n", + " def highest_y(w):\n", + " return max([b.y for b in w])\n", + "\n", + " def approx_equal(a, b):\n", + " return (abs(a - b) < 1)\n", + "\n", + " return not approx_equal(highest_y(initial_w), highest_y(final_w))\n", + "\n", + "def noisify(world):\n", + " noisy_world = deepcopy(world)\n", + "\n", + " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", + " probs = torch.tensor([0.2, 0.5, 0.3])\n", + " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=probs))\n", + " noise_width = float(noise_width.item())\n", + " def perturb_x(b):\n", + " \n", + " # noise_width = 5\n", + "\n", + " return randint(b.x - noise_width, b.x + noise_width)\n", + " \n", + " for b in noisy_world:\n", + " b.x = perturb_x(b)\n", + "\n", + " return noisy_world\n", + "\n", + "def run_simulation(world):\n", + " initial_world = noisify(world)\n", + "\n", + " simulation = Simulate(initial_world)\n", + " # probs want to make this a while loop that stops when everything stops moving\n", + " for i in range(1000):\n", + " simulation.update(1/60.0)\n", + "\n", + " final_world = []\n", + " for body in simulation.space._bodies:\n", + " final_world.append(Block(x=body.position.x, y=body.position.y))\n", + "\n", + " S = not does_tower_fall(initial_world, final_world)\n", + "\n", + " return S\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "stable_world = [\n", + " Block(90, 50, 200, 75),\n", + " Block(70, 80, 200, 140),\n", + " Block(100, 30, 200, 195),\n", + " Block(60, 45, 200, 232.5),\n", + " Block(40, 20, 200, 265),\n", + "]\n", + "if __name__ == \"__main__\":\n", + " animation = Animate()\n", + " pyglet.app.run()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "N_obs = 20\n", + "# torch.manual_seed(3)\n", + "observed_data = torch.tensor(\n", + " [\n", + " run_simulation(stable_world)\n", + " for _ in range(N_obs)\n", + " ]\n", + ")\n", + "\n", + "observed_data" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def model():\n", + "\n", + " s = run_simulation(stable_world)\n", + " S = pyro.sample(\"S\", dist.Delta(torch.tensor(s)))\n", + " return S\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(10)})\n", + "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", + "# importance = Importance(model, guide=None, num_samples=100)\n", + "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", + "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"S\"])\n", + "outcome = torch.tensor([True])\n", + "\n", + "log_prob = emp_marginal.log_prob(outcome)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p = np.exp(log_prob)\n", + "print(p)" + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.10.4 ('causal-ml')", "language": "python", "name": "python3" }, @@ -1746,7 +2048,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.1" + "version": "3.10.4" }, "toc": { "base_numbering": 1, @@ -1789,6 +2091,11 @@ "_Feature" ], "window_display": false + }, + "vscode": { + "interpreter": { + "hash": "0e642de13ed24eb1e8129cfad9323b43f1e482b6af82b8c19b9795c172c70e2a" + } } }, "nbformat": 4, From 404c0cff2c4b5d73283ab949ad0940bf49e9511b Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Thu, 3 Nov 2022 17:02:30 +0000 Subject: [PATCH 2/8] Added text from probmods example in relevant places, ensured code is functional and added reset option to animation --- chapters/Chapter 2 - Generative Models.ipynb | 293 +++++++++---------- 1 file changed, 140 insertions(+), 153 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index e6d0521..b4713a4 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-09-11T05:34:01.171283Z", @@ -16,13 +16,26 @@ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", + "from numpy.random import randint\n", "\n", "import pyro\n", "import pyro.distributions as dist\n", "import torch\n", "\n", "import sys; sys.path.append('..')\n", - "from pyro_webppl import viz" + "from pyro_webppl import viz\n", + "\n", + "# imports for physics example:\n", + "import pyglet\n", + "from pyglet.gl import *\n", + "from pyglet.window import key, mouse\n", + "\n", + "import pymunk\n", + "import pymunk.pyglet_util\n", + "from pymunk import Vec2d\n", + "\n", + "from copy import deepcopy\n", + "from pyro.infer import Importance, EmpiricalMarginal" ] }, { @@ -1609,115 +1622,29 @@ "heading_collapsed": true }, "source": [ - "# Intuitive Physics Example - TODO" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "hidden": true - }, - "source": [ - "```javascript\n", - "var listMin = function(xs) {\n", - " if (xs.length == 1) {\n", - " return xs[0]\n", - " } else {\n", - " return Math.min(xs[0], listMin(rest(xs)))\n", - " }\n", - "}\n", - "\n", - "var ground = {shape: 'rect', static: true, dims: [worldWidth, 10],\n", - " x: worldWidth/2, y: worldHeight+6};\n", - "\n", - "var stableWorld = [\n", - " ground,\n", - " {shape: 'rect', static: false, dims: [60, 22], x: 175, y: 473},\n", - " {shape: 'rect', static: false, dims: [50, 38], x: 159.97995044874122, y: 413},\n", - " {shape: 'rect', static: false, dims: [40, 35], x: 166.91912737427202, y: 340},\n", - " {shape: 'rect', static: false, dims: [30, 29], x: 177.26195677111082, y: 276},\n", - " {shape: 'rect', static: false, dims: [11, 17], x: 168.51354470809122, y: 230}\n", - "]\n", - "\n", - "var almostUnstableWorld = [\n", - " ground,\n", - " {shape: 'rect', static: false, dims: [24, 22], x: 175, y: 473},\n", - " {shape: 'rect', static: false, dims: [15, 38], x: 159.97995044874122, y: 413},\n", - " {shape: 'rect', static: false, dims: [11, 35], x: 166.91912737427202, y: 340},\n", - " {shape: 'rect', static: false, dims: [11, 29], x: 177.26195677111082, y: 276},\n", - " {shape: 'rect', static: false, dims: [11, 17], x: 168.51354470809122, y: 230}\n", - "]\n", - "\n", - "var unstableWorld = [\n", - " ground,\n", - " {shape: 'rect', static: false, dims: [60, 22], x: 175, y: 473},\n", - " {shape: 'rect', static: false, dims: [50, 38], x: 90, y: 413},\n", - " {shape: 'rect', static: false, dims: [40, 35], x: 140, y: 340},\n", - " {shape: 'rect', static: false, dims: [10, 29], x: 177.26195677111082, y: 276},\n", - " {shape: 'rect', static: false, dims: [50, 17], x: 140, y: 230}\n", - "]\n", + "# Intuitive Physics Example\n", + "Humans have a deep intuitive understanding of everyday physics — this allows us to make furniture, appreciate sculpture, and play baseball. How can we describe this intuitive physics? One approach is to posit that humans have a generative model that captures key aspects of real physics, though perhaps with approximations and noise. This mental physics simulator could for instance approximate Newtonian mechanics, allowing us to imagine the future state of a collection of (rigid) bodies. We have included such a 2-dimensional physics simulator using Python's `Pymunk` and `Pyglet` modules.\n", "\n", - "var doesTowerFall = function (initialW, finalW) {\n", - " var highestY = function (w) { listMin(map(function(obj) { return obj.y }, w)) }\n", - " var approxEqual = function (a, b) { Math.abs(a - b) < 1.0 }\n", - " !approxEqual(highestY(initialW), highestY(finalW))\n", - "}\n", - "\n", - "var noisify = function (world) {\n", - " var perturbX = function (obj) {\n", - " var noiseWidth = 10\n", - " obj.static ? obj : _.extend({}, obj, {x: uniform(obj.x - noiseWidth, obj.x + noiseWidth) })\n", - " }\n", - " map(perturbX, world)\n", - "}\n", - "\n", - "var run = function(world) {\n", - " var initialWorld = noisify(world)\n", - " var finalWorld = physics.run(1000, initialWorld)\n", - " doesTowerFall(initialWorld, finalWorld)\n", - "}\n", + "Pymunk is a 2D physics library, which we use to simulate the setup and progression of our 'world' - in this case, a series of stacked blocks. We use Pyglet to handle the animation of the simulation. Here we define a class `Simulate` that takes a collection of physical objects and runs physics 'forward' by some amount of time. We also have the class `Animate`, which does the same, but gives us an animation to see what is happening.) We can use these to imagine the outcome of various initial states, as in the Plink machine example above:\n", "\n", - "viz(\n", - " Infer({method: 'forward', samples: 100},\n", - " function() { run(stableWorld) }))\n", - "viz(\n", - " Infer({method: 'forward', samples: 100},\n", - " function() { run(almostUnstableWorld) }))\n", - "viz(\n", - " Infer({method: 'forward', samples: 100},\n", - " function() { run(unstableWorld) }))\n", - "\n", - "// uncomment any of these that you'd like to see for yourself\n", - "// physics.animate(1000, stableWorld)\n", - "// physics.animate(1000, almostUnstableWorld)\n", - "// physics.animate(1000, unstableWorld)\n", - "```" + "- for notebook, maybe represent the animation as a series of stills? or display a gif?" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ - "from copy import deepcopy\n", - "import pyglet\n", - "from pyglet.gl import *\n", - "from pyglet.window import key, mouse\n", - "\n", - "import pymunk\n", - "import pymunk.pyglet_util\n", - "from pymunk import Vec2d\n", - "\n", - "import pyro\n", - "import pyro.distributions as dist\n", - "from pyro.infer import Importance, EmpiricalMarginal\n", - "import torch" + "WORLD_WIDTH = 400\n", + "WORLD_HEIGHT = 600\n", + "FLOOR_HEIGHT = 50\n", + "X_CENTRE = WORLD_WIDTH/2" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": { "hidden": true }, @@ -1725,7 +1652,7 @@ "source": [ "def dim():\n", " # function to generate widths/heights of blocks\n", - " return np.randint(50, 100)\n", + " return randint(50, 100)\n", "\n", "class Block:\n", " def __init__(self, width=None, height=None, x=0, y=0, is_first=False, is_static=False):\n", @@ -1746,14 +1673,12 @@ " self.h = torch.tensor(self.h)\n", " self.x = torch.tensor(self.x)\n", " self.y = torch.tensor(self.y)\n", - " return self\n", - "\n", - " " + " return self" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -1837,7 +1762,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 84, "metadata": {}, "outputs": [], "source": [ @@ -1850,7 +1775,7 @@ " self.num_blocks=num_blocks\n", "\n", " #set the window size\n", - " pyglet.window.Window.__init__(self, width=WORLD_WIDTH, height= WORLD_HEIGHT, vsync=False)\n", + " self.window = pyglet.window.Window.__init__(self, width=WORLD_WIDTH, height= WORLD_HEIGHT, vsync=False)\n", " self.set_caption(\"2D Boxes\")\n", "\n", " # sets how frequently self.update gets called once sim starts\n", @@ -1866,6 +1791,9 @@ " self.draw_options = pymunk.pyglet_util.DrawOptions()\n", " self.draw_options.flags = self.draw_options.DRAW_SHAPES\n", "\n", + " # add some text\n", + " self.label = pyglet.text.Label('Hit R to reset', font_name='Times New Roman', font_size=16, x=10, y=WORLD_HEIGHT-25)\n", + "\n", " def update(self, dt):\n", " # Here we use a very basic way to keep a set space.step dt.\n", " # For a real game its probably best to do something more complicated.\n", @@ -1890,8 +1818,16 @@ " self.simulation.space.add(body, shape)\n", " f = 50000\n", " body.apply_impulse_at_local_point((f, 0), (0, 0))\n", + "\n", + " elif symbol == key.R:\n", + " self.clear()\n", + " self.simulation = Simulate(self.world, self.num_blocks)\n", + " self.simulation.create_world()\n", + "\n", " elif symbol == key.ESCAPE:\n", + " self.close()\n", " pyglet.app.exit()\n", + " \n", " elif symbol == pyglet.window.key.P:\n", " pyglet.image.get_buffer_manager().get_color_buffer().save(\n", " \"box2d_vertical_stack.png\"\n", @@ -1899,13 +1835,39 @@ "\n", " def on_draw(self):\n", " self.clear()\n", - " self.fps_display.draw()\n", - " self.simulation.space.debug_draw(self.draw_options)" + " # self.fps_display.draw()\n", + " self.simulation.space.debug_draw(self.draw_options)\n", + " self.label.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are many judgements that you could make with such a physics simulator. [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) have explored human intuitions about the stability of block towers. Look at several different random block towers; first judge whether you think the tower is stable, then simulate to find out if it is:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "if __name__ == \"__main__\":\n", + " animation = Animate()\n", + " pyglet.app.run()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Were you often right? Were there some cases of ‘surprisingly stable’ towers? [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) account for these cases by positing that people are not entirely sure where the blocks are initially (perhaps due to noise in visual perception). Thus our intuitions of stability are really stability given noise (or the expected stability marginalizing over slightly different initial configurations). We can realize this measure of stability as:" + ] + }, + { + "cell_type": "code", + "execution_count": 99, "metadata": {}, "outputs": [], "source": [ @@ -1922,14 +1884,12 @@ "def noisify(world):\n", " noisy_world = deepcopy(world)\n", "\n", - " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", - " probs = torch.tensor([0.2, 0.5, 0.3])\n", + " vals = torch.tensor([10.0, 30.0, 50.0], dtype=torch.float)\n", + " probs = torch.tensor([0.3, 0.4, 0.3])\n", " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=probs))\n", " noise_width = float(noise_width.item())\n", - " def perturb_x(b):\n", - " \n", - " # noise_width = 5\n", "\n", + " def perturb_x(b):\n", " return randint(b.x - noise_width, b.x + noise_width)\n", " \n", " for b in noisy_world:\n", @@ -1951,13 +1911,33 @@ "\n", " S = not does_tower_fall(initial_world, final_world)\n", "\n", - " return S\n", - "\n" + " return S" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{True: 17, False: 3}\n" + ] + } + ], + "source": [ + "out = {True:0, False:0}\n", + "for i in range(20):\n", + " res = run_simulation(stable_world)\n", + " out[res] = out[res] + 1\n", + "print(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 103, "metadata": {}, "outputs": [], "source": [ @@ -1968,57 +1948,67 @@ " Block(60, 45, 200, 232.5),\n", " Block(40, 20, 200, 265),\n", "]\n", - "if __name__ == \"__main__\":\n", - " animation = Animate()\n", - " pyglet.app.run()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "N_obs = 20\n", - "# torch.manual_seed(3)\n", - "observed_data = torch.tensor(\n", - " [\n", - " run_simulation(stable_world)\n", - " for _ in range(N_obs)\n", - " ]\n", - ")\n", "\n", - "observed_data" + "def model():\n", + " s = run_simulation(stable_world)\n", + " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s)))\n", + " return Stability" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 105, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor(0.8491)\n" + ] + } + ], "source": [ - "def model():\n", + "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(30)})\n", + "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", + "# importance = Importance(model, guide=None, num_samples=100)\n", + "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", + "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"Stability\"])\n", + "outcome = torch.tensor([True])\n", "\n", - " s = run_simulation(stable_world)\n", - " S = pyro.sample(\"S\", dist.Delta(torch.tensor(s)))\n", - " return S\n" + "log_prob = emp_marginal.log_prob(outcome)\n", + "p = np.exp(log_prob)\n", + "print(p)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 107, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P(noise_width=10.0) = 0.4266666769981384\n", + "P(noise_width=30.0) = 0.2800000011920929\n", + "P(noise_width=50.0) = 0.2933333218097687\n" + ] + } + ], "source": [ - "\n", - "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(10)})\n", + "conditioned_model = pyro.condition(model, {\"S\": torch.tensor(False)})\n", "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", - "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"S\"])\n", - "outcome = torch.tensor([True])\n", + "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"noise_width\"])\n", + "\n", + "for o in [10.0, 30.0, 50.0]:\n", + " outcome = torch.tensor([o])\n", "\n", - "log_prob = emp_marginal.log_prob(outcome)" + " log_prob = emp_marginal.log_prob(outcome)\n", + " p = np.exp(log_prob)\n", + " print(\"P(noise_width={}) = {}\".format(o,p))" ] }, { @@ -2026,10 +2016,7 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [ - "p = np.exp(log_prob)\n", - "print(p)" - ] + "source": [] } ], "metadata": { From 4e58a83e3c7e06d52794a72ba669ec453eadfc3a Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Thu, 3 Nov 2022 17:49:28 +0000 Subject: [PATCH 3/8] Added unstable/almost unstable block configurations and reverted noise values to ones more reasonable --- chapters/Chapter 2 - Generative Models.ipynb | 71 ++++++++++---------- 1 file changed, 36 insertions(+), 35 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index b4713a4..28faca1 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -1006,7 +1006,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 126, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.866367Z", @@ -1625,9 +1625,7 @@ "# Intuitive Physics Example\n", "Humans have a deep intuitive understanding of everyday physics — this allows us to make furniture, appreciate sculpture, and play baseball. How can we describe this intuitive physics? One approach is to posit that humans have a generative model that captures key aspects of real physics, though perhaps with approximations and noise. This mental physics simulator could for instance approximate Newtonian mechanics, allowing us to imagine the future state of a collection of (rigid) bodies. We have included such a 2-dimensional physics simulator using Python's `Pymunk` and `Pyglet` modules.\n", "\n", - "Pymunk is a 2D physics library, which we use to simulate the setup and progression of our 'world' - in this case, a series of stacked blocks. We use Pyglet to handle the animation of the simulation. Here we define a class `Simulate` that takes a collection of physical objects and runs physics 'forward' by some amount of time. We also have the class `Animate`, which does the same, but gives us an animation to see what is happening.) We can use these to imagine the outcome of various initial states, as in the Plink machine example above:\n", - "\n", - "- for notebook, maybe represent the animation as a series of stills? or display a gif?" + "Pymunk is a 2D physics library, which we use to simulate the setup and progression of our 'world' - in this case, a series of stacked blocks. We use Pyglet to handle the animation of the simulation. Here we define a class `Simulate` that takes a collection of physical objects and runs physics 'forward' by some amount of time. We also have the class `Animate`, which does the same, but gives us an animation to see what is happening.) We can use these to imagine the outcome of various initial states, as in the Plink machine example above:" ] }, { @@ -1636,6 +1634,7 @@ "metadata": {}, "outputs": [], "source": [ + "# Define some variables\n", "WORLD_WIDTH = 400\n", "WORLD_HEIGHT = 600\n", "FLOOR_HEIGHT = 50\n", @@ -1767,7 +1766,7 @@ "outputs": [], "source": [ "class Animate(pyglet.window.Window):\n", - " # main class for simulation\n", + " # main class for animation\n", "\n", " def __init__(self, world=None, num_blocks=5):\n", "\n", @@ -1795,13 +1794,6 @@ " self.label = pyglet.text.Label('Hit R to reset', font_name='Times New Roman', font_size=16, x=10, y=WORLD_HEIGHT-25)\n", "\n", " def update(self, dt):\n", - " # Here we use a very basic way to keep a set space.step dt.\n", - " # For a real game its probably best to do something more complicated.\n", - " # step_dt = 1 / 250.0\n", - " # x = 0\n", - " # while x < dt:\n", - " # x += step_dt\n", - " # self.space.step(step_dt)\n", " self.simulation.update(dt)\n", "\n", " def on_key_press(self, symbol, modifiers):\n", @@ -1867,7 +1859,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 114, "metadata": {}, "outputs": [], "source": [ @@ -1884,8 +1876,8 @@ "def noisify(world):\n", " noisy_world = deepcopy(world)\n", "\n", - " vals = torch.tensor([10.0, 30.0, 50.0], dtype=torch.float)\n", - " probs = torch.tensor([0.3, 0.4, 0.3])\n", + " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", + " probs = torch.tensor([0.2, 0.6, 0.2])\n", " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=probs))\n", " noise_width = float(noise_width.item())\n", "\n", @@ -1916,28 +1908,28 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 122, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{True: 17, False: 3}\n" + "{True: 13, False: 7}\n" ] } ], "source": [ "out = {True:0, False:0}\n", "for i in range(20):\n", - " res = run_simulation(stable_world)\n", + " res = run_simulation(almost_unstable_world)\n", " out[res] = out[res] + 1\n", "print(out)" ] }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 141, "metadata": {}, "outputs": [], "source": [ @@ -1949,27 +1941,43 @@ " Block(40, 20, 200, 265),\n", "]\n", "\n", + "almost_unstable_world = [\n", + " Block(90, 50, 200, 75),\n", + " Block(50, 70, 210, 135),\n", + " Block(40, 40, 190, 190),\n", + " Block(20, 80, 185, 250),\n", + " Block(80, 20, 190, 300),\n", + "]\n", + "\n", + "unstable_world = [\n", + " Block(90, 50, 200, 75),\n", + " Block(50, 70, 210, 135),\n", + " Block(40, 40, 220, 190),\n", + " Block(20, 80, 230, 250),\n", + " Block(80, 20, 240, 300),\n", + "]\n", + "\n", "def model():\n", - " s = run_simulation(stable_world)\n", + " s = run_simulation(unstable_world)\n", " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s)))\n", " return Stability" ] }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 145, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.8491)\n" + "tensor(0.9180)\n" ] } ], "source": [ - "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(30)})\n", + "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(1)})\n", "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", @@ -1983,16 +1991,16 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "P(noise_width=10.0) = 0.4266666769981384\n", - "P(noise_width=30.0) = 0.2800000011920929\n", - "P(noise_width=50.0) = 0.2933333218097687\n" + "P(noise_width=1.0) = 0.2884615659713745\n", + "P(noise_width=5.0) = 0.4038461744785309\n", + "P(noise_width=10.0) = 0.30769234895706177\n" ] } ], @@ -2003,20 +2011,13 @@ "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"noise_width\"])\n", "\n", - "for o in [10.0, 30.0, 50.0]:\n", + "for o in [1.0, 5.0, 10.0]:\n", " outcome = torch.tensor([o])\n", "\n", " log_prob = emp_marginal.log_prob(outcome)\n", " p = np.exp(log_prob)\n", " print(\"P(noise_width={}) = {}\".format(o,p))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 6f017dd925b32023a46865af8472ccd88f89b74e Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Fri, 4 Nov 2022 09:50:02 +0000 Subject: [PATCH 4/8] Added visualisations for models --- chapters/Chapter 2 - Generative Models.ipynb | 111 ++++++++++++------- 1 file changed, 72 insertions(+), 39 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 28faca1..3556c4a 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 31, + "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-09-11T05:34:01.171283Z", @@ -1006,7 +1006,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.866367Z", @@ -1630,7 +1630,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -1643,7 +1643,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 4, "metadata": { "hidden": true }, @@ -1677,7 +1677,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -1761,7 +1761,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -1841,9 +1841,18 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyglet\\image\\codecs\\wic.py:406: UserWarning: [WinError -2147417850] Cannot change thread mode after it is set\n", + " warnings.warn(str(err))\n" + ] + } + ], "source": [ "if __name__ == \"__main__\":\n", " animation = Animate()\n", @@ -1859,7 +1868,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -1908,28 +1917,7 @@ }, { "cell_type": "code", - "execution_count": 122, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{True: 13, False: 7}\n" - ] - } - ], - "source": [ - "out = {True:0, False:0}\n", - "for i in range(20):\n", - " res = run_simulation(almost_unstable_world)\n", - " out[res] = out[res] + 1\n", - "print(out)" - ] - }, - { - "cell_type": "code", - "execution_count": 141, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -1965,15 +1953,46 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{True: 15, False: 5}\n" + ] + } + ], + "source": [ + "out = {True:0, False:0}\n", + "for i in range(20):\n", + " res = run_simulation(almost_unstable_world)\n", + " out[res] = out[res] + 1\n", + "print(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.9180)\n" + "tensor(0.9531)\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -1986,22 +2005,34 @@ "\n", "log_prob = emp_marginal.log_prob(outcome)\n", "p = np.exp(log_prob)\n", - "print(p)" + "print(p)\n", + "\n", + "viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width=1\")" ] }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "P(noise_width=1.0) = 0.2884615659713745\n", - "P(noise_width=5.0) = 0.4038461744785309\n", - "P(noise_width=10.0) = 0.30769234895706177\n" + "P(noise_width=1.0) = 0.35483863949775696\n", + "P(noise_width=5.0) = 0.38709673285484314\n", + "P(noise_width=10.0) = 0.25806450843811035\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -2016,7 +2047,9 @@ "\n", " log_prob = emp_marginal.log_prob(outcome)\n", " p = np.exp(log_prob)\n", - " print(\"P(noise_width={}) = {}\".format(o,p))" + " print(\"P(noise_width={}) = {}\".format(o,p))\n", + " \n", + "viz(emp_marginal, plot_args={\"tick_label\":[\"1.0\", \"5.0\", \"10.0\"]}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" ] } ], From b304e8799e97d09466bfd0f733dd16589046fee1 Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Fri, 4 Nov 2022 19:14:02 +0000 Subject: [PATCH 5/8] Added sampling for each block dimension --- chapters/Chapter 2 - Generative Models.ipynb | 78 ++++++++++---------- 1 file changed, 40 insertions(+), 38 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 3556c4a..711472c 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -1630,7 +1630,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -1643,7 +1643,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "hidden": true }, @@ -1677,7 +1677,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -1709,32 +1709,38 @@ "\n", " if not self.world:\n", " prev_block = self.add_block(None)\n", - " for _ in range(self.num_blocks-1):\n", - " next_block = self.add_block(prev_block)\n", + " for idx in range(1, self.num_blocks):\n", + " next_block = self.add_block(idx, prev_block=prev_block)\n", " prev_block = next_block \n", "\n", " else:\n", - " for item in self.world:\n", - " self.add_block(new_block=item)\n", + " for idx, item in enumerate(self.world):\n", + " self.add_block(idx, new_block=item)\n", "\n", " return 1\n", "\n", - " def add_block(self, prev_block=None, new_block=None):\n", + " def add_block(self, idx, prev_block=None, new_block=None):\n", " # function for creating and positioning blocks\n", "\n", " if new_block == None:\n", " block = Block()\n", " if prev_block == None:\n", " block.is_first = True\n", - " block.x = X_CENTRE\n", + " Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE)))\n", + " block.x = int(Block_x.item())\n", " block.y = FLOOR_HEIGHT + block.h/2\n", "\n", " else:\n", - " block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", + " vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))))\n", + " probs = torch.ones(vals.size())\n", + " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Empirical(samples=vals, log_weights=probs))\n", + " block.x = int(Block_x.item())\n", + " # block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", " block.y = prev_block.y + prev_block.h/2 + block.h/2\n", "\n", " else:\n", - " block = new_block\n", + " block = deepcopy(new_block)\n", + " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x)))\n", "\n", " # pymunk box coords are at Centre of Mass !\n", "\n", @@ -1761,7 +1767,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -1841,7 +1847,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -1868,7 +1874,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -1917,7 +1923,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -1953,14 +1959,14 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{True: 15, False: 5}\n" + "{True: 13, False: 7}\n" ] } ], @@ -1974,19 +1980,19 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.9531)\n" + "tensor(0.2000)\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1997,7 +2003,7 @@ ], "source": [ "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(1)})\n", - "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", + "importance = Importance(conditioned_model, guide=None, num_samples=200)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"Stability\"])\n", @@ -2012,27 +2018,23 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 23, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "P(noise_width=1.0) = 0.35483863949775696\n", - "P(noise_width=5.0) = 0.38709673285484314\n", - "P(noise_width=10.0) = 0.25806450843811035\n" + "ename": "ValueError", + "evalue": "Expected parameter logits (Tensor of shape (100,)) of distribution Categorical(logits: torch.Size([100])) to satisfy the constraint IndependentConstraint(Real(), 1), but found invalid values:\ntensor([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan])", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn [23], line 4\u001b[0m\n\u001b[0;32m 2\u001b[0m importance \u001b[39m=\u001b[39m Importance(conditioned_model, guide\u001b[39m=\u001b[39m\u001b[39mNone\u001b[39;00m, num_samples\u001b[39m=\u001b[39m\u001b[39m100\u001b[39m)\n\u001b[0;32m 3\u001b[0m \u001b[39m# importance = Importance(model, guide=None, num_samples=100)\u001b[39;00m\n\u001b[1;32m----> 4\u001b[0m trace_posterior_conditioned \u001b[39m=\u001b[39m importance\u001b[39m.\u001b[39;49mrun() \u001b[39m# args and kwargs are used if your model function takes any input arguments to run\u001b[39;00m\n\u001b[0;32m 5\u001b[0m emp_marginal \u001b[39m=\u001b[39m EmpiricalMarginal(trace_posterior\u001b[39m=\u001b[39mtrace_posterior_conditioned, sites\u001b[39m=\u001b[39m[\u001b[39m\"\u001b[39m\u001b[39mnoise_width\u001b[39m\u001b[39m\"\u001b[39m])\n\u001b[0;32m 7\u001b[0m \u001b[39mfor\u001b[39;00m o \u001b[39min\u001b[39;00m [\u001b[39m1.0\u001b[39m, \u001b[39m5.0\u001b[39m, \u001b[39m10.0\u001b[39m]:\n", + "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyro\\infer\\abstract_infer.py:262\u001b[0m, in \u001b[0;36mTracePosterior.run\u001b[1;34m(self, *args, **kwargs)\u001b[0m\n\u001b[0;32m 260\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mchain_ids\u001b[39m.\u001b[39mappend(chain_id)\n\u001b[0;32m 261\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_idx_by_chain[chain_id]\u001b[39m.\u001b[39mappend(i)\n\u001b[1;32m--> 262\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_categorical \u001b[39m=\u001b[39m Categorical(logits\u001b[39m=\u001b[39;49mtorch\u001b[39m.\u001b[39;49mtensor(\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mlog_weights))\n\u001b[0;32m 263\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\n", + "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyro\\distributions\\distribution.py:24\u001b[0m, in \u001b[0;36mDistributionMeta.__call__\u001b[1;34m(cls, *args, **kwargs)\u001b[0m\n\u001b[0;32m 22\u001b[0m \u001b[39mif\u001b[39;00m result \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[0;32m 23\u001b[0m \u001b[39mreturn\u001b[39;00m result\n\u001b[1;32m---> 24\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39msuper\u001b[39m()\u001b[39m.\u001b[39m\u001b[39m__call__\u001b[39m(\u001b[39m*\u001b[39margs, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs)\n", + "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\torch\\distributions\\categorical.py:64\u001b[0m, in \u001b[0;36mCategorical.__init__\u001b[1;34m(self, probs, logits, validate_args)\u001b[0m\n\u001b[0;32m 62\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_num_events \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39msize()[\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m]\n\u001b[0;32m 63\u001b[0m batch_shape \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39msize()[:\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m] \u001b[39mif\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39mndimension() \u001b[39m>\u001b[39m \u001b[39m1\u001b[39m \u001b[39melse\u001b[39;00m torch\u001b[39m.\u001b[39mSize()\n\u001b[1;32m---> 64\u001b[0m \u001b[39msuper\u001b[39;49m(Categorical, \u001b[39mself\u001b[39;49m)\u001b[39m.\u001b[39;49m\u001b[39m__init__\u001b[39;49m(batch_shape, validate_args\u001b[39m=\u001b[39;49mvalidate_args)\n", + "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\torch\\distributions\\distribution.py:55\u001b[0m, in \u001b[0;36mDistribution.__init__\u001b[1;34m(self, batch_shape, event_shape, validate_args)\u001b[0m\n\u001b[0;32m 53\u001b[0m valid \u001b[39m=\u001b[39m constraint\u001b[39m.\u001b[39mcheck(value)\n\u001b[0;32m 54\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m valid\u001b[39m.\u001b[39mall():\n\u001b[1;32m---> 55\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\n\u001b[0;32m 56\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mExpected parameter \u001b[39m\u001b[39m{\u001b[39;00mparam\u001b[39m}\u001b[39;00m\u001b[39m \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 57\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m(\u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mtype\u001b[39m(value)\u001b[39m.\u001b[39m\u001b[39m__name__\u001b[39m\u001b[39m}\u001b[39;00m\u001b[39m of shape \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mtuple\u001b[39m(value\u001b[39m.\u001b[39mshape)\u001b[39m}\u001b[39;00m\u001b[39m) \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 58\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mof distribution \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mrepr\u001b[39m(\u001b[39mself\u001b[39m)\u001b[39m}\u001b[39;00m\u001b[39m \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 59\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mto satisfy the constraint \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mrepr\u001b[39m(constraint)\u001b[39m}\u001b[39;00m\u001b[39m, \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 60\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mbut found invalid values:\u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m{\u001b[39;00mvalue\u001b[39m}\u001b[39;00m\u001b[39m\"\u001b[39m\n\u001b[0;32m 61\u001b[0m )\n\u001b[0;32m 62\u001b[0m \u001b[39msuper\u001b[39m(Distribution, \u001b[39mself\u001b[39m)\u001b[39m.\u001b[39m\u001b[39m__init__\u001b[39m()\n", + "\u001b[1;31mValueError\u001b[0m: Expected parameter logits (Tensor of shape (100,)) of distribution Categorical(logits: torch.Size([100])) to satisfy the constraint IndependentConstraint(Real(), 1), but found invalid values:\ntensor([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan])" ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ From 7ef62845780bea56b67f7274c159d96d3b7a4ec2 Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Thu, 10 Nov 2022 11:54:21 +0000 Subject: [PATCH 6/8] Altered noise_width values so that scripts run --- chapters/Chapter 2 - Generative Models.ipynb | 297 ++++++++++--------- 1 file changed, 151 insertions(+), 146 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 711472c..448dc01 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -47,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.954079Z", @@ -201,7 +201,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.966215Z", @@ -212,10 +212,10 @@ { "data": { "text/plain": [ - "tensor(0.)" + "tensor(1.)" ] }, - "execution_count": 9, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -233,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.977154Z", @@ -245,16 +245,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.)\n", "tensor(0.)\n", "tensor(1.)\n", "tensor(0.)\n", - "tensor(1.)\n", + "tensor(0.)\n", "tensor(1.)\n", "tensor(0.)\n", "tensor(0.)\n", + "tensor(0.)\n", "tensor(1.)\n", - "tensor(0.)\n" + "tensor(1.)\n" ] } ], @@ -275,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.179095Z", @@ -285,7 +285,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -312,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.189771Z", @@ -324,16 +324,16 @@ "name": "stdout", "output_type": "stream", "text": [ + "tensor(3.)\n", + "tensor(2.)\n", "tensor(2.)\n", "tensor(0.)\n", - "tensor(1.)\n", - "tensor(3.)\n", - "tensor(1.)\n", "tensor(2.)\n", - "tensor(1.)\n", "tensor(2.)\n", - "tensor(1.)\n", - "tensor(2.)\n" + "tensor(0.)\n", + "tensor(3.)\n", + "tensor(2.)\n", + "tensor(1.)\n" ] } ], @@ -353,7 +353,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.420548Z", @@ -364,7 +364,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -390,7 +390,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.428745Z", @@ -402,15 +402,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "3\n", "6\n", "3\n", "3\n", "6\n", "3\n", - "3\n", - "6\n", "6\n", + "3\n", + "3\n", + "3\n", "3\n" ] } @@ -448,7 +448,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.551430Z", @@ -458,7 +458,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -481,7 +481,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.667676Z", @@ -491,7 +491,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", 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" ] @@ -514,7 +514,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.062047Z", @@ -524,7 +524,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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BAGgNXC53i82FPi0gJSQkKCIiQiUlJZ42u92urVu3Kikp6aTnbd68WQMGDFBgoE85CAAAnGV8SgrBwcHKyMjQvHnzFBMTo7i4OOXm5io2NlZDhgyR0+lUZWWlIiMjvZZ6tm7dqhtuuMHvxQMAgLbF5y232dnZGj16tGbNmqX09HRZrVYtW7ZMQUFB2r9/v1JSUlRUVOR1zoEDBxQVFeWvmgEAQBvl89qK1WpVTk6OcnJyGh3r3Lmztm/f3qj9s88+O73qAADAWaX1vmQNAADaHIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABjD52DicrmUn5+v1NRUJSYmKisrS6WlpSftf+zYMc2fP9/TPyMjQ19++WWzigYAAG2Tz8GkoKBAK1as0Ny5c7Vy5Uq5XC5lZmbK4XCcsP/DDz+s1atX6/e//71eeOEFxcTEKCsrS0eOHGl28QAAoG3xKZg4HA4VFhYqOztbaWlpSkhIUF5ensrKylRcXNyof2lpqV544QU9+uijSk1NVY8ePfTII48oODhY//rXv/x2EwAAoG3wKZhs27ZN1dXVSk5O9rTZbDb17t1bmzZtatT/gw8+UGRkpC6//HKv/uvXr/caAwAAQJICfelcVlYmSerUqZNXe8eOHT3HfmjXrl264IILVFxcrCVLlqi8vFy9e/fWAw88oB49ejSjbCkw0L/7dq1Wi9dnAACaozXPJxZLgN/n2abyKZjU1tZKkoKDg73aQ0JCdPjw4Ub9q6qqtHv3bhUUFGj69Omy2WxavHixxo4dq6KiIp1zzjmnVbTFEqDo6PDTOven2GxhZ2RcAABai4iI0Ba7tk/BJDT0eKEOh8PztSTV1dUpLKzxhB4YGKiqqirl5eV5npDk5eXpiiuu0IsvvqjMzMzTKtrlcsturzmtc0/GarXIZguT3V4rp9Pl17EBAGefhnmlNaqqOqpjx5x+HdNmC2vSUySfgknDEk5FRYW6dOniaa+oqFB8fHyj/rGxsQoMDPRatgkNDdUFF1ygPXv2+HLpRurrz0x4cDpdZ2xsAABaA5fL3WJzoU8LSAkJCYqIiFBJSYmnzW63a+vWrUpKSmrUPykpSfX19dqyZYun7ejRoyotLVXXrl2bUTYAAGiLfHpiEhwcrIyMDM2bN08xMTGKi4tTbm6uYmNjNWTIEDmdTlVWVioyMlKhoaG67LLL9B//8R+aMWOG5syZo6ioKOXn58tqteq66647U/cEAABaKZ+33GZnZ2v06NGaNWuW0tPTZbVatWzZMgUFBWn//v1KSUlRUVGRp//ChQs1YMAA3XPPPRo9erSqqqr0zDPPKCYmxq83AgAAWr8At9vtbukifOV0ulRZWe3XMQMDLYqODtfBg9XsMQEANFvDvHLfgne0c2/jN1dN1COuvZ64P012e63q6ur9OnZMTHiTNr+23pesAQBAm0MwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABj+BxMXC6X8vPzlZqaqsTERGVlZam0tPSk/V955RXFx8c3+tizZ0+zCgcAAG1PoK8nFBQUaMWKFfrjH/+o2NhY5ebmKjMzU6+++qqCg4Mb9d++fbsGDBigBQsWeLXHxMScftUAAKBN8umJicPhUGFhobKzs5WWlqaEhATl5eWprKxMxcXFJzxnx44dio+PV4cOHbw+rFarX24AAAC0HT4Fk23btqm6ulrJycmeNpvNpt69e2vTpk0nPGf79u3q0aNH86oEAABnBZ+WcsrKyiRJnTp18mrv2LGj59gPHT58WOXl5dq8ebNWrFihgwcPql+/fsrJyVH37t2bUbYUGOjffbtWq8XrMwAAzdGa5xOLJcDv82xT+RRMamtrJanRXpKQkBAdPny4Uf+vvvpKkuR2u/WHP/xBR48e1eLFizV27Fi9+uqrOvfcc0+raIslQNHR4ad17k+x2cLOyLgAALQWERGhLXZtn4JJaOjxQh0Oh+drSaqrq1NYWOMJ/bLLLtPGjRsVHR2tgIAASdKiRYuUlpam1atXa8KECadVtMvllt1ec1rnnozVapHNFia7vVZOp8uvYwMAzj4N80prVFV1VMeOOf06ps0W1qSnSD4Fk4YlnIqKCnXp0sXTXlFRofj4+BOe8+O3b8LCwtS5c2eVl5f7culG6uvPTHhwOl1nbGwAAFoDl8vdYnOhTwtICQkJioiIUElJiafNbrdr69atSkpKatT/+eef169+9SvV1Pzf042qqip98803uvDCC5tRNgAAaIt8CibBwcHKyMjQvHnz9NZbb2nbtm2aMmWKYmNjNWTIEDmdTh04cEBHjx6VJF1++eVyuVyaPn26vvrqK23ZskX33nuvYmJiNGrUqDNyQwAAoPXyecttdna2Ro8erVmzZik9PV1Wq1XLli1TUFCQ9u/fr5SUFBUVFUk6vvTzl7/8RTU1NUpPT9f48eMVGRmpZ555RiEhIX6/GQAA0LoFuN1ud0sX4Sun06XKymq/jhkYaFF0dLgOHqxmjwkAoNka5pX7FryjnXsbv7lqoh5x7fXE/Wmy22tVV1fv17FjYsKbtPm19b5kDQAA2hyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYw+dg4nK5lJ+fr9TUVCUmJiorK0ulpaVNOveVV15RfHy89uzZ43OhAACg7fM5mBQUFGjFihWaO3euVq5cKZfLpczMTDkcjlOet3fvXs2ZM+e0CwUAAG2fT8HE4XCosLBQ2dnZSktLU0JCgvLy8lRWVqbi4uKTnudyuZSTk6OLLrqo2QUDAIC2y6dgsm3bNlVXVys5OdnTZrPZ1Lt3b23atOmk5z311FM6duyY7rzzztOvFAAAtHmBvnQuKyuTJHXq1MmrvWPHjp5jP/b555+rsLBQq1atUnl5+WmW2VhgoH/37VqtFq/PAAA0R2ueTyyWAL/Ps03lUzCpra2VJAUHB3u1h4SE6PDhw43619TUaNq0aZo2bZq6devmt2BisQQoOjrcL2P9mM0WdkbGBQCgtYiICG2xa/sUTEJDjxfqcDg8X0tSXV2dwsIaT+iPPPKIunfvrjFjxjSzTG8ul1t2e41fx7RaLbLZwmS318rpdPl1bADA2adhXmmNqqqO6tgxp1/HtNnCmvQUyadg0rCEU1FRoS5dunjaKyoqFB8f36j/Cy+8oODgYPXv31+S5HQev8kRI0Zo4sSJmjhxoi+X91Jff2bCg9PpOmNjAwDQGrhc7habC30KJgkJCYqIiFBJSYknmNjtdm3dulUZGRmN+v/4TZ3PPvtMOTk5WrJkiXr27NmMsgEAQFvkUzAJDg5WRkaG5s2bp5iYGMXFxSk3N1exsbEaMmSInE6nKisrFRkZqdDQUHXt2tXr/IYNsueff76ioqL8dhMAAKBt8HnLbXZ2tkaPHq1Zs2YpPT1dVqtVy5YtU1BQkPbv36+UlBQVFRWdiVoBAEAbF+B2u90tXYSvnE6XKiur/TpmYKBF0dHhOniwmj0mAIBma5hX7lvwjnbubfzmqol6xLXXE/enyW6vVV1dvV/HjokJb9Lm19b7kjUAAGhzCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyfg4nL5VJ+fr5SU1OVmJiorKwslZaWnrT/F198oVtvvVX9+/fXr3/9az344IM6cuRIs4oGAABtk8/BpKCgQCtWrNDcuXO1cuVKuVwuZWZmyuFwNOr73Xff6bbbblNcXJxWr16tgoICffLJJ3rggQf8UjwAAGhbfAomDodDhYWFys7OVlpamhISEpSXl6eysjIVFxc36r93716lpKRozpw56t69uy655BLdeOON+uCDD/x2AwAAoO3wKZhs27ZN1dXVSk5O9rTZbDb17t1bmzZtatT/4osv1oIFCxQYGChJ2rlzp15++WUNHDiwmWUDAIC2KNCXzmVlZZKkTp06ebV37NjRc+xkhg4dqm+++UZxcXFatGiRj2U2Fhjo3327VqvF6zMAAM3RmucTiyXA7/NsU/kUTGprayVJwcHBXu0hISE6fPjwKc+dN2+eamtrlZubq3Hjxunll19WeHi4j+UeZ7EEKDr69M79KTZb2BkZFwCA1iIiIrTFru1TMAkNPV6ow+HwfC1JdXV1Cgs79YTet29fSdKiRYt0xRVX6I033tDIkSN9LPc4l8stu73mtM49GavVIpstTHZ7rZxOl1/HBgCcfRrmldaoquqojh1z+nVMmy2sSU+RfAomDUs4FRUV6tKli6e9oqJC8fHxjfp//fXX+vbbb5WWluZpO++88xQVFaXy8nJfLt1Iff2ZCQ9Op+uMjQ0AQGvgcrlbbC70aQEpISFBERERKikp8bTZ7XZt3bpVSUlJjfp/+OGHys7Olt1u97R9++23OnjwoHr06NGMsgEAQFvkUzAJDg5WRkaG5s2bp7feekvbtm3TlClTFBsbqyFDhsjpdOrAgQM6evSoJGnEiBGKiopSTk6OvvrqK23evFnZ2dnq16+frrzyyjNyQwAAoPXyecttdna2Ro8erVmzZik9PV1Wq1XLli1TUFCQ9u/fr5SUFBUVFUmSoqKi9Ne//lWSlJ6erkmTJql3795atmyZrFarf+8EAAC0egFut9vd0kX4yul0qbKy2q9jBgZaFB0droMHq9ljAgBotoZ55b4F72jn3lO/uWqKHnHt9cT9abLba1VXV+/XsWNiwpu0+bX1vmQNAADaHIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDECW7oA01itrSuruVxuuVzuli4DAAC/IJj8fwEBAXK53LLZwlq6FJ84nS4dOlRDOAEAtAkEk//PYgmQxRKgef/zifaUH2npcpqk83mRmnbzpbJYAggmAIA2gWDyI3vKj2jn3sMtXQYAAGel1rWhAgAAtGkEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxfA4mLpdL+fn5Sk1NVWJiorKyslRaWnrS/l999ZUmTJigX/3qV0pOTlZ2drb27dvXrKIBAEDb5HMwKSgo0IoVKzR37lytXLlSLpdLmZmZcjgcjfoePHhQt912m0JDQ/Xss8/q6aefVmVlpTIzM1VXV+eXGwAAAG2HT8HE4XCosLBQ2dnZSktLU0JCgvLy8lRWVqbi4uJG/d98803V1NTo8ccfV8+ePdWnTx/l5uZq586d+vTTT/12EwAAoG3wKZhs27ZN1dXVSk5O9rTZbDb17t1bmzZtatQ/OTlZBQUFCg0N/b8LWo5f0m63n27NAACgjQr0pXNZWZkkqVOnTl7tHTt29Bz7oc6dO6tz585ebUuWLFFoaKiSkpJ8rdVLYKB/9+1aLAF+He/nZLWyhxkATNOa/9tssQT4fZ5tKp+CSW1trSQpODjYqz0kJESHDx/+yfOfffZZPffcc5o1a5ZiYmJ8ubQXiyVA0dHhp31+W2OzhbV0CQCANiQiIvSnO50hPgWThiUZh8PhtTxTV1ensLCTT45ut1tPPvmkFi9erLvuuku33HLLaZZ7nMvllt1e06wxfiwoyNqi/xDNYbfXyul0tXQZAIAfsFotrfZ/HKuqjurYMadfx7TZwpr0FMmnYNKwhFNRUaEuXbp42isqKhQfH3/Cc44dO6aZM2dqzZo1mjlzpsaPH+/LJU+qvt6/E3FrfuTmdLr8/vMAAJy9XC53i80rPs3GCQkJioiIUElJiafNbrdr69atJ90zMn36dK1du1bz58/3WygBAABtk09PTIKDg5WRkaF58+YpJiZGcXFxys3NVWxsrIYMGSKn06nKykpFRkYqNDRUq1evVlFRkaZPn64BAwbowIEDnrEa+gAAADTwef0iOztbo0eP1qxZs5Seni6r1aply5YpKChI+/fvV0pKioqKiiRJa9askSQ9/vjjSklJ8fpo6AMAANDApycmkmS1WpWTk6OcnJxGxzp37qzt27d7vi8sLGxedQAA4KzSend8AgCANodgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACM4XMwcblcys/PV2pqqhITE5WVlaXS0tImnZeZmamFCxeeVqEAAKDt8zmYFBQUaMWKFZo7d65WrlzpCRwOh+Ok5zgcDv32t7/Ve++916xiAQBA2+ZTMHE4HCosLFR2drbS0tKUkJCgvLw8lZWVqbi4+ITnfPrppxo1apQ2b94sm83ml6IBAEDb5FMw2bZtm6qrq5WcnOxps9ls6t27tzZt2nTCczZs2KDU1FS99NJLioyMbF61AACgTQv0pXNZWZkkqVOnTl7tHTt29Bz7sSlTppxmaQAA4GzjUzCpra2VJAUHB3u1h4SE6PDhw/6rqgkCA/37QpHFEuDX8X5OVisvVwGAaVrzf5stlgC/z7NN5VMwCQ0NlXR8r0nD15JUV1ensLAw/1Z2ChZLgKKjw3+265nOZvv5fvYAgLYvIiL0pzudIT4Fk4YlnIqKCnXp0sXTXlFRofj4eP9Wdgoul1t2e41fxwwKsrboP0Rz2O21cjpdLV0GAOAHrFZLq/0fx6qqozp2zOnXMW22sCY9RfIpmCQkJCgiIkIlJSWeYGK327V161ZlZGScXqWnqb7evxNxa37k5nS6/P7zAACcvVwud4vNKz4Fk+DgYGVkZGjevHmKiYlRXFyccnNzFRsbqyFDhsjpdKqyslKRkZFeSz0AAABN4fNjguzsbI0ePVqzZs1Senq6rFarli1bpqCgIO3fv18pKSkqKio6E7UCAIA2zqcnJpJktVqVk5OjnJycRsc6d+6s7du3n/Tc9evX+3o5AABwFmm9GysAAECbQzABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGP4HExcLpfy8/OVmpqqxMREZWVlqbS09KT9Dx48qKlTpyopKUkDBgzQ7NmzVVtb26yiAQBA2+RzMCkoKNCKFSs0d+5crVy5Ui6XS5mZmXI4HCfsn52drd27d+svf/mLnnzySW3YsEEPP/xwc+sGAABtkE/BxOFwqLCwUNnZ2UpLS1NCQoLy8vJUVlam4uLiRv3/8Y9/6OOPP9Zjjz2miy66SMnJyZozZ45efvlllZeX++0mAABA2+BTMNm2bZuqq6uVnJzsabPZbOrdu7c2bdrUqP/mzZvVoUMH9ejRw9M2YMAABQQE6JNPPmlG2QAAoC3yKZiUlZVJkjp16uTV3rFjR8+xHyovL2/UNzg4WFFRUdq/f7+vtQIAgDYu0JfODZtWg4ODvdpDQkJ0+PDhE/b/cd+G/nV1db5c2ovFEqCYmPDTPv9EAgKOf344K1n1Tpdfxz5TAq3Hc2X79mEtXAkA4GRa47wSERGi8PAQv45tsQQ0rQZfBg0NDZV0fK9Jw9eSVFdXp7CwxpNjaGjoCTfF1tXVqV27dr5c2ktAQICs1qbdoK+iIv37D/FzsFh46xsATMW84uO1fencsCxTUVHh1V5RUaHzzjuvUf/Y2NhGfR0Ohw4dOqSOHTv6WisAAGjjfAomCQkJioiIUElJiafNbrdr69atSkpKatQ/KSlJZWVl2r17t6ft448/liRdeumlp1szAABoo3xaygkODlZGRobmzZunmJgYxcXFKTc3V7GxsRoyZIicTqcqKysVGRmp0NBQXXzxxbrkkks0ZcoUPfzww6qpqdGDDz6okSNHnvAJCwAAOLsFuN1uty8nOJ1OLViwQKtXr9bRo0eVlJSkBx98UJ07d9aePXt01VVX6Q9/+INGjRolSfr+++81e/ZsvffeewoJCdGwYcM0c+ZMhYS0vjU3AABwZvkcTAAAAM4UXucAAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABijVQeT+Ph4rV69+me/7sKFCzVo0KCf/boAAPhq3759eu2115rUd/Xq1YqPj/d83xLzbKsOJgAA4NRmzJih9957r0l9r7nmGr3//vtnuKJT8+lv5QAAgLYrNDRUoaGhLVpDq39ismvXLo0fP159+/ZVamqq/vznP3sdf/vttzVq1Cj169dPgwcP1hNPPCGHw+E5vmPHDt15551KSkpSnz59dNVVV6mwsNBrjOeff16DBw9Wv379NHHiRB0+fNjr+IYNGzRq1ChdfPHFSk5O1gMPPNCoDwAAP7dbbrlFH3/8sV588UUNGjRI+/bt05QpU5ScnKyLLrpIl19+uXJzc+VyuSQ1Xsr5odraWv33f/+3Bg4cqL59+2rkyJEqLi72e82tPpg899xzGjlypIqKipSenq4FCxZo48aNkqR3331X9913n2688UatWbNGDz30kF5//XXl5ORIOv5Dvv322xUVFaWVK1dqzZo1GjZsmB577DF9+eWXkqQ1a9Zozpw5Gj9+vF5++WVdcskl+p//+R/P9SsrK3XPPffohhtuUFFRkRYtWqRNmzbp8ccf//l/GAAA/MDChQvVv39/XX311Vq1apXuuusuHTlyRMuXL9fatWt1++23a+nSpVq/fv1PjvXkk09q+/btWrJkiYqKinT55ZdrypQp2rNnj19rbvVLOWPHjtXIkSMlSXfffbcKCwv1r3/9S8nJyXrqqad04403asyYMZKkLl26aPbs2br11lu1Z88etWvXTuPGjdPNN9+s8PBwSVJ2draWLl2q7du3q1evXnr22Wd1zTXX6Oabb5YkTZgwQf/85z+1bds2SVJ5ebkcDofOP/98xcXFKS4uTk899ZScTufP/8MAAOAHoqKiFBQUpNDQULVr107XXXedrr76anXq1EmSNH78eD399NPavn27/vM///OUY3377bcKDw/XBRdcIJvNpsmTJyspKUnt27f3a82tPph069bN63ubzaa6ujpJ0tatW/X5559r1apVnuMNf0x5586duuKKKzR27FitWbNGW7du1bfffusJHA2PtXbs2KHhw4d7XaN///6efr169dKIESM0ceJEdejQQQMHDlRaWpoGDx58Ru4XAIDTERoaqoyMDK1du1aff/65du/ere3bt+u7777zzHmnkpWVpYkTJyo5OVn9+vXTwIEDde211yoyMtKvdbb6YGK1Whu1NYQPl8ulzMxMXX/99Y36dOjQQQcOHNBNN92kmJgYDRo0SCkpKerbt6+uuOIKr74//gcLCgry+n7+/PmaNGmS3n33XX344YfKycnRpZdeqr/+9a/NvT0AAPyipqZGGRkZOnr0qIYNG6brr79e/fr186wI/JT+/ftrw4YN+uCDD7Rx40a99NJLWrx4sZYuXark5GS/1dnqg8mp/PKXv9SuXbvUtWtXT1tJSYmeeeYZPfzww1qzZo0OHTqkdevWecLG9u3bJf1fuOnVq5c+/fRTjR8/3jPGli1bPF9/9tlneu211/Tb3/5Wv/jFLzR+/Hi98sorysnJ0ffff69zzjnnZ7hTAABO7f3339cXX3yhDz74QOeee64k6dChQ/r+++89c96p5Ofn69JLL9VVV12lq666SjNnztTw4cO1bt06vwaTVr/59VSysrK0bt06LVq0SLt27dLGjRs1c+ZMHTlyRB06dFBsbKxqa2u1du1a7du3T++//77uv/9+SfK8uTNhwgS98cYbWrp0qb755hs9++yzWrdunecaERERWrFihXJzc7V7927t2LFDRUVF6tatm6Kjo1vkvgEAaBAeHq69e/d65qRXXnlFe/fu1ebNm3X33Xfr2LFjXm+rnkxpaakeeughbdy4UXv37tW6deu0b98+9e/f36/1tuknJsOGDVNeXp7+/Oc/66mnnlJUVJQGDRqkadOmeY5/8cUX+uMf/6iqqirFxcXpN7/5jd566y1t2bJF6enpSktL0/z587Vw4UI9+eSTSkxM1O233641a9ZIknr06KGFCxdq0aJFWrFihSwWi37961/r6aeflsXSpnMfAKAVGDNmjGbMmKFJkyZpxowZeuaZZ/TEE0/ovPPO0zXXXKNOnTp5rQSczEMPPaTHHntMOTk5OnTokOLi4jRt2jRdd911fq03wN2U5zcAAAA/A/6XHgAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABj/D8coMxRDe74MgAAAABJRU5ErkJggg==", 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", + "image/png": 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", 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", 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", 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" ] @@ -575,7 +575,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.182216Z", @@ -585,7 +585,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -620,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.553350Z", @@ -630,7 +630,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -669,7 +669,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.558869Z", @@ -681,7 +681,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "True\n" + "False\n" ] } ], @@ -705,7 +705,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.573144Z", @@ -717,12 +717,12 @@ "data": { "text/plain": [ "{'cough': False,\n", - " 'fever': False,\n", + " 'fever': True,\n", " 'chest_pain': False,\n", " 'shortness_of_breath': False}" ] }, - "execution_count": 21, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -800,7 +800,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.580210Z", @@ -811,10 +811,10 @@ { "data": { "text/plain": [ - "[tensor(1.), tensor(0.)]" + "[tensor(1.), tensor(1.)]" ] }, - "execution_count": 22, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -837,7 +837,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.738946Z", @@ -847,7 +847,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -894,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.853107Z", @@ -907,13 +907,13 @@ "output_type": "stream", "text": [ "type \n", - "sample tensor(0.)\n", + "sample tensor(1.)\n", "log prob tensor(-0.6931)\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -954,7 +954,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.860283Z", @@ -966,8 +966,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "sample tensor(0.1262)\n", - "foo tensor(1.4472)\n" + "sample tensor(-2.0776)\n", + "foo tensor(-0.9335)\n" ] } ], @@ -1006,7 +1006,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.866367Z", @@ -1024,7 +1024,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.536841Z", @@ -1036,12 +1036,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "[-1.5131422281265259, 0.08064248412847519, -0.058025866746902466, 0.3957633674144745, 0.5320090055465698]\n" + "[0.48899123072624207, -0.8093475699424744, 2.9455132484436035, 0.1296679675579071, 0.5448039174079895]\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1113,7 +1113,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.543290Z", @@ -1124,10 +1124,10 @@ { "data": { "text/plain": [ - "[tensor(1.), tensor(0.)]" + "[tensor(0.), tensor(1.)]" ] }, - "execution_count": 31, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1153,7 +1153,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.553548Z", @@ -1167,7 +1167,7 @@ "[tensor(0.), tensor(0.)]" ] }, - "execution_count": 32, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1210,7 +1210,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.562675Z", @@ -1225,7 +1225,7 @@ "tensor(1.)" ] }, - "execution_count": 33, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1245,7 +1245,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.601527Z", @@ -1257,10 +1257,10 @@ { "data": { "text/plain": [ - "0.716" + "0.765" ] }, - "execution_count": 34, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1313,7 +1313,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.934199Z", @@ -1324,16 +1324,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 35, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1373,7 +1373,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.938827Z", @@ -1397,7 +1397,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.948255Z", @@ -1409,9 +1409,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "bob green\n", + "bob blue\n", "alice blue\n", - "bob green\n" + "bob brown\n" ] } ], @@ -1446,7 +1446,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.958143Z", @@ -1457,19 +1457,19 @@ { "data": { "text/plain": [ - "[tensor(5),\n", - " tensor(1),\n", + "[tensor(9),\n", + " tensor(8),\n", " tensor(8),\n", + " tensor(9),\n", + " tensor(7),\n", " tensor(0),\n", " tensor(7),\n", - " tensor(2),\n", - " tensor(9),\n", - " tensor(9),\n", - " tensor(9),\n", - " tensor(8)]" + " tensor(1),\n", + " tensor(3),\n", + " tensor(1)]" ] }, - "execution_count": 38, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1490,7 +1490,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.968331Z", @@ -1501,19 +1501,19 @@ { "data": { "text/plain": [ - "[tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8),\n", - " tensor(8)]" + "[tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7),\n", + " tensor(7)]" ] }, - "execution_count": 39, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -1535,7 +1535,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.976548Z", @@ -1548,7 +1548,7 @@ "output_type": "stream", "text": [ "bob green\n", - "alice blue\n", + "alice brown\n", "bob green\n" ] } @@ -1578,7 +1578,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.986767Z", @@ -1589,11 +1589,11 @@ { "data": { "text/plain": [ - "[[tensor(1.), tensor(1.), tensor(1.), tensor(1.)],\n", - " [tensor(1.), tensor(1.), tensor(1.), tensor(1.)]]" + "[[tensor(1.), tensor(0.), tensor(0.), tensor(0.)],\n", + " [tensor(1.), tensor(0.), tensor(0.), tensor(0.)]]" ] }, - "execution_count": 41, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -1630,7 +1630,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -1643,7 +1643,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "hidden": true }, @@ -1677,7 +1677,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -1726,13 +1726,13 @@ " block = Block()\n", " if prev_block == None:\n", " block.is_first = True\n", - " Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE)))\n", + " Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE, dtype=torch.float)))\n", " block.x = int(Block_x.item())\n", " block.y = FLOOR_HEIGHT + block.h/2\n", "\n", " else:\n", - " vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))))\n", - " probs = torch.ones(vals.size())\n", + " vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))), dtype=torch.float)\n", + " probs = torch.ones(vals.size(), dtype=torch.float)\n", " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Empirical(samples=vals, log_weights=probs))\n", " block.x = int(Block_x.item())\n", " # block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", @@ -1740,7 +1740,7 @@ "\n", " else:\n", " block = deepcopy(new_block)\n", - " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x)))\n", + " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", "\n", " # pymunk box coords are at Centre of Mass !\n", "\n", @@ -1767,7 +1767,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -1847,7 +1847,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -1874,7 +1874,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -1891,8 +1891,8 @@ "def noisify(world):\n", " noisy_world = deepcopy(world)\n", "\n", - " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", - " probs = torch.tensor([0.2, 0.6, 0.2])\n", + " vals = torch.tensor([0.01, 0.50, 0.10], dtype=torch.float)\n", + " probs = torch.tensor([0.2, 0.6, 0.2], dtype=torch.float)\n", " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=probs))\n", " noise_width = float(noise_width.item())\n", "\n", @@ -1923,7 +1923,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -1953,20 +1953,20 @@ "\n", "def model():\n", " s = run_simulation(unstable_world)\n", - " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s)))\n", + " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s, dtype=torch.float)))\n", " return Stability" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{True: 13, False: 7}\n" + "{True: 20, False: 0}\n" ] } ], @@ -1980,30 +1980,21 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.2000)\n" + "tensor(1.0000)\n" ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ - "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(1)})\n", - "importance = Importance(conditioned_model, guide=None, num_samples=200)\n", + "nw = 0.10\n", + "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(nw)})\n", + "importance = Importance(conditioned_model, guide=None, num_samples=10)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"Stability\"])\n", @@ -2013,28 +2004,32 @@ "p = np.exp(log_prob)\n", "print(p)\n", "\n", - "viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width=1\")" + "# viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width={}\".format(nw))" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 15, "metadata": {}, "outputs": [ { - "ename": "ValueError", - "evalue": "Expected parameter logits (Tensor of shape (100,)) of distribution Categorical(logits: torch.Size([100])) to satisfy the constraint IndependentConstraint(Real(), 1), but found invalid values:\ntensor([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan])", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[1;32mIn [23], line 4\u001b[0m\n\u001b[0;32m 2\u001b[0m importance \u001b[39m=\u001b[39m Importance(conditioned_model, guide\u001b[39m=\u001b[39m\u001b[39mNone\u001b[39;00m, num_samples\u001b[39m=\u001b[39m\u001b[39m100\u001b[39m)\n\u001b[0;32m 3\u001b[0m \u001b[39m# importance = Importance(model, guide=None, num_samples=100)\u001b[39;00m\n\u001b[1;32m----> 4\u001b[0m trace_posterior_conditioned \u001b[39m=\u001b[39m importance\u001b[39m.\u001b[39;49mrun() \u001b[39m# args and kwargs are used if your model function takes any input arguments to run\u001b[39;00m\n\u001b[0;32m 5\u001b[0m emp_marginal \u001b[39m=\u001b[39m EmpiricalMarginal(trace_posterior\u001b[39m=\u001b[39mtrace_posterior_conditioned, sites\u001b[39m=\u001b[39m[\u001b[39m\"\u001b[39m\u001b[39mnoise_width\u001b[39m\u001b[39m\"\u001b[39m])\n\u001b[0;32m 7\u001b[0m \u001b[39mfor\u001b[39;00m o \u001b[39min\u001b[39;00m [\u001b[39m1.0\u001b[39m, \u001b[39m5.0\u001b[39m, \u001b[39m10.0\u001b[39m]:\n", - "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyro\\infer\\abstract_infer.py:262\u001b[0m, in \u001b[0;36mTracePosterior.run\u001b[1;34m(self, *args, **kwargs)\u001b[0m\n\u001b[0;32m 260\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mchain_ids\u001b[39m.\u001b[39mappend(chain_id)\n\u001b[0;32m 261\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_idx_by_chain[chain_id]\u001b[39m.\u001b[39mappend(i)\n\u001b[1;32m--> 262\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_categorical \u001b[39m=\u001b[39m Categorical(logits\u001b[39m=\u001b[39;49mtorch\u001b[39m.\u001b[39;49mtensor(\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mlog_weights))\n\u001b[0;32m 263\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\n", - "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyro\\distributions\\distribution.py:24\u001b[0m, in \u001b[0;36mDistributionMeta.__call__\u001b[1;34m(cls, *args, **kwargs)\u001b[0m\n\u001b[0;32m 22\u001b[0m \u001b[39mif\u001b[39;00m result \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[0;32m 23\u001b[0m \u001b[39mreturn\u001b[39;00m result\n\u001b[1;32m---> 24\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39msuper\u001b[39m()\u001b[39m.\u001b[39m\u001b[39m__call__\u001b[39m(\u001b[39m*\u001b[39margs, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs)\n", - "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\torch\\distributions\\categorical.py:64\u001b[0m, in \u001b[0;36mCategorical.__init__\u001b[1;34m(self, probs, logits, validate_args)\u001b[0m\n\u001b[0;32m 62\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_num_events \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39msize()[\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m]\n\u001b[0;32m 63\u001b[0m batch_shape \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39msize()[:\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m] \u001b[39mif\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_param\u001b[39m.\u001b[39mndimension() \u001b[39m>\u001b[39m \u001b[39m1\u001b[39m \u001b[39melse\u001b[39;00m torch\u001b[39m.\u001b[39mSize()\n\u001b[1;32m---> 64\u001b[0m \u001b[39msuper\u001b[39;49m(Categorical, \u001b[39mself\u001b[39;49m)\u001b[39m.\u001b[39;49m\u001b[39m__init__\u001b[39;49m(batch_shape, validate_args\u001b[39m=\u001b[39;49mvalidate_args)\n", - "File \u001b[1;32mc:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\torch\\distributions\\distribution.py:55\u001b[0m, in \u001b[0;36mDistribution.__init__\u001b[1;34m(self, batch_shape, event_shape, validate_args)\u001b[0m\n\u001b[0;32m 53\u001b[0m valid \u001b[39m=\u001b[39m constraint\u001b[39m.\u001b[39mcheck(value)\n\u001b[0;32m 54\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m valid\u001b[39m.\u001b[39mall():\n\u001b[1;32m---> 55\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\n\u001b[0;32m 56\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mExpected parameter \u001b[39m\u001b[39m{\u001b[39;00mparam\u001b[39m}\u001b[39;00m\u001b[39m \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 57\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m(\u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mtype\u001b[39m(value)\u001b[39m.\u001b[39m\u001b[39m__name__\u001b[39m\u001b[39m}\u001b[39;00m\u001b[39m of shape \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mtuple\u001b[39m(value\u001b[39m.\u001b[39mshape)\u001b[39m}\u001b[39;00m\u001b[39m) \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 58\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mof distribution \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mrepr\u001b[39m(\u001b[39mself\u001b[39m)\u001b[39m}\u001b[39;00m\u001b[39m \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 59\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mto satisfy the constraint \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mrepr\u001b[39m(constraint)\u001b[39m}\u001b[39;00m\u001b[39m, \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 60\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mbut found invalid values:\u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m{\u001b[39;00mvalue\u001b[39m}\u001b[39;00m\u001b[39m\"\u001b[39m\n\u001b[0;32m 61\u001b[0m )\n\u001b[0;32m 62\u001b[0m \u001b[39msuper\u001b[39m(Distribution, \u001b[39mself\u001b[39m)\u001b[39m.\u001b[39m\u001b[39m__init__\u001b[39m()\n", - "\u001b[1;31mValueError\u001b[0m: Expected parameter logits (Tensor of shape (100,)) of distribution Categorical(logits: torch.Size([100])) to satisfy the constraint IndependentConstraint(Real(), 1), but found invalid values:\ntensor([nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan, nan,\n nan, nan, nan, nan])" + "name": "stdout", + "output_type": "stream", + "text": [ + "P(noise_width=0.1) = 0.25999999046325684\n", + "P(noise_width=0.01) = 0.37000003457069397\n", + "P(noise_width=0.5) = 0.3699999749660492\n" ] + }, + { + "data": { + "image/png": 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MGjUKHh4emDZtGgDAxcUFR44cwfnz5+Hh4YFNmzYhPz8fhw8fFrZHUFAQJk6ciJUrV2Lo0KG4fv06Dh8+jIULFwr9DgwMxGuvvYZr164J762Lc52257krV67A3t4eH374oXDxpE+fPvjpp5+Qnp4OoH7n6YaoqKhASkqKcF4oKirC7NmzceXKFbi7uyM9PR39+vUTjlF/f3+0atUKbdu2hYmJCXr06AHg8ZAWV1dXAGi0jJCYmAhzc3Ns3rxZ6G9AQAAGDRqEjz766Km/UDxJ6ytfZ8+ehZubm/DTt29fvP/++3B3d8eqVas0Bts///zzQvACgPT0dDg4OAjBq9KwYcNQVlam8dtgUFCQELyAx5egjYyMcPbsWQCPL13OnDkTCoUCP/74I/bu3Stczq/6YVR5AFYaNGgQLl++jKKiIm1X/6lKSkrw008/Cb8RVlRUoKKiAs899xycnJxw8uRJAI93nJMnT+Ktt97CRx99hGvXrmHcuHHCSVsbHh4eQvACIAQzhUIBQLs61UfVk6C9vb1w27HyQH1yp678t6GhYY1Pi3Tr1g22trZ49913MX/+fBw9ehTt2rVDVFQU7O3t613T+ggKCkJxcbGwn505cwYTJkyAubm5sF99//33NV71AoCMjAx4eXlpjPHz9PTEX/7yl3q9/5Phw9zcHO3atRO2U13atWuHrl274t///jdmz56Nffv2QaVSITo6Gt26datxGRMTE6SkpOCVV15Bbm4uzpw5gx07dghXCOra/q+99prGh9SQIUMAQKjVqlWrMGHCBOTn5+PcuXPYtWuX8Jt+1bYrT471lZGRgRdeeEEIXsDj4PLtt99q3Val4cOHY+PGjXj06BEyMzNx+PBhxMfHQ6lUVrvlX9d7yGQyDBs2DMeOHRPW9cCBA/jrX/8qhKqwsDCsWLECRUVFuHjxIg4ePCjc5hFz7FU6ffo0evTogQ4dOgjHg4GBAV544QWNKx5PKi8vx4ULFzB48GCNc/TLL7/81CAybNgwFBcXC/vM+fPncefOHeFcdfr0achkMgQFBQl9qaiowIsvvoh79+5pBOWePXsKgQKAMJ7xyauk9fW0Y0mbPtXkyc+ntm3bAoBGUK4MipVXfNLT0+Ht7S0Er0rDhg3DvXv3cOPGDeGq05O3xAwMDIRjCqj/50ddtD3P9ejRA9u2bYODgwNu3ryJ48ePIyUlBTdu3BD207rO0w3VtWtXIcgAjy8qVNYEePyZ+dlnnyE8PByffvopsrOzERkZWeu5Gmi8jHDmzBn4+fnBzMxM2EYWFhbo3bt3rcdfTbS+8uXm5oZFixYBeHwCMjU1RceOHTUKV6l169Ya/y4sLKzxN+127doBgMYHUdX5DAwMYGNjI8xz69YtzJ8/H6dPn4axsTGef/55uLi4AKj+XR+V7Vdq27Yt1Go1/vzzz3qtc30pFAqoVCps3LgRGzdurPZ65QdJWFgYWrdujV27diE2NhYxMTHo1q0b5s2bhz59+mj1nk8GVADCb/SVY1i0qVN9mJubV3u/ynYqv2qk6rYzMjKCjY1NjZenW7duja1btyI5ORmHDh3Czp07YWZmhtdffx3z5s2rd03rw9nZGR07dsSpU6dgY2ODvLw89O3bFz4+PkhPT0dQUBAuXbok/IZbVWFhocZVx0pPu3r0pKfVri4ymQypqalITk7G0aNHsWfPHhgbG2PQoEFYtGgR2rRpU+NyJ06cwLJly3Djxg20bt0aLi4uwj5T13tXngArVX4QVW7nX375BYsWLcIvv/wCc3NzdO3aVQiiVduuei6oS0FBgfB+ulJaWorFixdj7969qKiogKOjI7y9vWFkZFStv1WPq5q8/vrrSE5OxokTJxAYGIgjR45gwoQJwuv5+flYsGABjh07BplMhs6dOwuhoSHfR1RQUIDffvutxtu1wOMPrKr7WkFBAZRKZbWaGhoaCncbatK5c2d4e3vjwIED+Nvf/oYDBw6gU6dOwtWPgoICqNVq4d9V5eXlCUG2pv0f+L9zlTaedixp06ea1PRZVvX9nlRYWKgx3KbSk59rlcdM1St8T547dHWuE3Oe27RpE9atW4eCggK0a9cO7u7uMDc3F87ZdZ2nn7zIIkZd+8bcuXNhb2+Pr776CosXL8bixYvh7e2NhQsXCp9nVTVWRigoKMDBgwdrHBemzcN3Woev1q1bo2fPntouBgBo06ZNjeNT7t27B0BzxywoKNCYR6lU4sGDB2jbti1UKhUiIiJgbGyML774Aj169ICRkRGuXbuGvXv3Vmu/sLBQo7j379+HoaEh2rRpg/v374tal5q0bt0aMpkMEydOrHb1B/i/HczAwABjx47F2LFj8ccff+D48eNYt24dpk6dipMnTzZ4R66kbZ0aqjIA3Lt3T+O3wEePHtV6awF4fIU0JiYGSqUSP//8M/bu3Yvt27ejU6dOGD16dL1qWl9BQUE4ffo02rZtiy5duqB9+/bCb1U//PADzMzM4O/vX+OyNjY2Ne4vVffVxtKhQwcsXLgQCxYsQGZmJr7++mts3LgRNjY2NY7Vu3XrFiIjI4UxD8899xxkMhm2bt2KEydO1Pl+Tw62BSCsu62trTAGxNnZGQcOHMDzzz8PAwMDHD9+HIcPH27wulpaWtY4yPj48ePo0aOHcPWm6gf3065mL126FIcPH8aaNWvQt29fIWAFBASI6mOXLl3g4eGBQ4cOwcDAAAqFAsOGDRNenzlzJm7cuIHNmzfD29sbJiYmKCkpwWefffbUdqsO4n/ygRbgcW38/Pwwa9asGpev6fzRtm1bGBsbV9t/VSpVnfvvsGHDsHz5cjx8+BBff/21cNussi+tWrXCJ598UuOynTt3fmrbjUHqPrVp00b4DHvSk59rlee++/fva1wpf7L29f38qA9tznP79u3DihUrEBUVhREjRggBYtq0afjll1+ENp92ng4LC6vWh8pjtK79uT5MTEwwefJkTJ48GXfu3MF///tfJCUlYcaMGdXGJALaf/Y9LSNUZWlpib59+wq3pp/0tKvIVUn6Dfe+vr74/fffceHCBY3pX331FYyNjeHh4SFMO3nypMbYssOHD6OiogL+/v548OABfv31V4wcORI9e/YUVvj7778HUP2E/N133wn/r1Kp8PXXX8PT0xNmZmZar0NlIq+JhYUFXF1dcePGDfTs2VP46datGxISEoTbbqNHj8aSJUsAPD4pjhgxAmPHjoVCoaj1atzT3rc29a3Tk7cCGqLy+3iqHgwHDhyAUqlEr169qi3z9ddfo0+fPrh37x4MDQ2F32asrKxw586dete0voKDg/HLL7/g+++/F/rbp08f3L59Gzt27EC/fv1qDb99+vTBhQsXNAbYX7t2rdpTLmK2VV0uXLiAvn374ueff4ZMJkOPHj0wffp0dO/eXXjCuKqLFy+irKwMERER6NSpk3AyrAxedV19+fbbbzX+ffjwYchkMvTp0wc3btxAQUEBQkJC0LVrV2GdazsGq6qrRr1798bJkyc1bg9cvnwZERERuHTpknB14smBs9evX39qkMjIyIC/vz8GDRokBK+LFy8iPz9f1NUX4PHVrxMnTuDAgQPw8fHRuAKSkZGBwYMHw9/fX9in6qqPhYVFtcHAGRkZGv/28/PDr7/+ii5dumgcE3v37sUXX3xR4/FsaGgIHx+fak/gffvtt3U+wPDKK69ArVYLD2A8GTD9/PxQXFwMtVqt0Zf//e9/+M9//iP64YhKYo6lxu5TVb6+vrhw4YLGF2ADjz/X2rdvj86dOwt3NL7++muNeZ584EaX5zptznMZGRmwsrJCWFiYELyKioqQkZEh7Kd1nadrUnmMPnm+fPTokcZTjPVRWlqKIUOGIDU1FQDwl7/8BWPHjsWrr74qvHfVfb4xM4Kfnx+uXbuGHj16CNvI3d0dmzdvFp4Arg+tr3w1xIgRI7Bt2zZERkZCLpfD0dER3377LXbt2oX33nsPVlZWwrz37t3D1KlTMX78eNy8eROrV69Gv379EBAQAJlMBgcHB2zduhX29vawsrLCiRMnhN90qo4hWLNmDZRKJTp27Ijt27fj119/xaZNm0Stg5WVFS5fvoz09HSNsFjp/fffR0REBGbMmIFhw4ZBqVQiNTUVP/30kzDwz9fXF6mpqWjXrh28vb2Rm5uLTZs2wc/Pr9bLlpW1OXr0KF544QU4OTnV2de2bdvWq06VgyW/++47tGnTptbLuHXp2rUr3njjDcTHx6OkpAS+vr64cuUKEhMT4e/vX+MXhvr4+EClUiEyMhIRERFo3bo1Dh06hIcPH2Lw4MEA6lfT+urTpw8MDAzw3XffYfXq1QAe30pv3bo1MjIysHTp0lqXnTBhAr744gtMmjRJeBInLi5OY8wdUPc+IoarqyvMzMwwa9YsTJ06Fe3atcOpU6dw5cqVWr+w1s3NDUZGRoiJicHbb7+N8vJy7N69WzjR1PUb6I8//oiZM2fi9ddfR2ZmJhISEjBq1Cg899xzsLa2hoWFhTAg38jICIcPHxa+NqaucTxWVla4cOECTp8+LQyQfdKUKVPwj3/8A++8847wpNeaNWvg4eGBfv36CQPAV6xYgWnTpgnfM/i0W2iVV6m2b98OJycnZGZmIjk5GTKZTNS4I+BxMFmxYgUOHjxY7eqjh4cH9u3bBzc3N9jb2+P8+fPYsGHDU99vwIAB+Pbbb7F8+XK8+OKLOHfuXLUn9CZOnIi9e/di4sSJePvtt2FjY4ODBw/is88+E76SpiZyuRzjx4+HXC7HyJEjcefOHaxduxYAnvrF2JVPNm7btg3e3t4aV46CgoLg6+uLKVOmYMqUKXBycsLPP/+M+Ph4BAYGNvg7EMUcS43dp6pCQ0Px1VdfYeLEiXjvvfdgbW2NPXv24MyZM1i2bBkMDAzQuXNn/OMf/0BcXBwqKirQo0cP7N27F1lZWRpt6epcp815zsPDA9u3b8eKFSswYMAA5OXlISUlBffv3xeu/NTnPF1VmzZt4O3tjS1btqBz585o06YNPvnkE5SWltbrtn4lMzMzuLm5ITExEcbGxnB2dsavv/6KL7/8UhgzV/kZdvr0aTg5OcHT07PRMsKUKVMwevRovPPOOxgzZgxMTU2xc+dOHDt2rNaHXWoi6ZUvc3NzbNmyBQMGDMDatWsxefJkYUeYOnWqxrxvvfUW2rZti8jISKxduxavvfaaxlM6SUlJ6NChA+bMmYN//vOf+Omnn5CcnIznn3++2p/JWb58OT755BNMmTIFubm52Lhxo+hvTX777bdx//59TJo0CRcvXqz2ev/+/ZGSkoKcnBzI5XLMmjULhoaG2LRpkzBYfdq0aXj33Xexa9cuYVBu//79n7rh/P390bdvX6xatUrjz23UpT516tatG4YOHYqtW7di5syZ2hWkiqVLlyIyMhL79u1DREQEtm7dipCQEGzcuLHG32Lt7Ozw0UcfwdLSEnPnzsU777yDS5cuISEhQfhtsT41rS9zc3PhcnvlPmBkZITevXtDJpM9dQCnjY0Ntm/fDkdHR8yZMwfLli3D2LFjq4XVuvYRMUxNTZGamopu3bph6dKlmDRpEr755ht88MEHGDFiRI3LdO7cGatWrUJubi4mT54sfKXIli1bIJPJ6vxzUhMmTEBFRQXee+89bN26Fe+++64QMCwtLZGUlAS1Wo1p06Zh1qxZuHPnDj799FO0bt26zrbHjh0LY2NjhIeHC7+NPsnV1RVbtmxBRUUF/vnPf2LJkiXo1asX1q9fDxMTE1hZWSEhIQFKpVI4R0RGRmo8bV3VnDlzMGjQIKxZswbvvPMOPv/8c0yePBmjRo3ChQsXqt0eqQ9bW1v0798fhoaGePnllzVeW7FiBTw9PbF48WJERkbim2++waJFi9C/f/9a6/Pmm28iPDwc+/fvR0REBC5cuFDtvNChQwfs2LEDDg4OWLhwId599138/PPPWLp0KSZOnFhrX3v37o2EhAT8+uuvmDJlCjZt2oR///vfAOoek/f6669DqVTitdde05huYGCADRs24NVXX8X69esxadIk4SseKr+moCHEHEuN3aeq2rdvj+3bt8PNzQ1LlizBtGnTcPfuXSQlJWk8MbtgwQJhwPh7772H0tJSvPvuuxpt6epcp8157o033kBkZCQOHTqE8PBwxMfHo3fv3vjggw9QUFCA69ev1+s8XZMVK1bA3d0d8+bNQ3R0NNzc3DTGRdZX5XkuNTUVb7/9NpKSkjBy5EgsXLgQwOOrbKGhoTh27BjCw8Px6NGjRssILi4u2Lp1K2QyGWbNmgW5XI579+7hP//5T61BtCYydXP6S5REJAlnZ2e899571X4poubrm2++gb29vcZA/atXr2Lo0KFISkoSvqiSiBqfpLcdiRqDUqmsc/ySTCbT2dg2oubohx9+wMGDBzFz5kx06dIFubm5wpWA/v37N3X3iFoUhi9q9iZOnCh8x1htHBwcqg0gJ2pJZs+eDTMzMyQnJyMvLw/W1tYIDAzEjBkztPrKFiJqON52pGbvxo0bdX5hromJicbfSSQiImoqDF9EREREEpL0aUciIiKilo7hi4iIiEhCDF9EREREEnrmn3ZUq9VQqfRjWJuBgUxv+tLcsZa6xXrqDmupW6yn7jSnWhoYyJ76lxeau2c+fKlUauTnP/1JOCkYGRnAxqY1FIpiVFSI+zty9BhrqVusp+6wlrrFeupOc6ulrW1rGBo+u+GLtx2JiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpKQUVN3oLkyMJDBwEBW7/kNDQ00/isVlUoNlUot6XsSEVHDafs58zSN9RnEzxhxGL5EMDCQwdq6laid2MrKvBF6VDulUoWCgmIeHEREzUhDPmeeRtefQfyMEYfhSwQDAxkMDQ0QuzUDt3MfNnV3auXYwRIzx/aCgYGMBwYRUTPSHD5n+BkjHsNXA9zOfYjrvxc2dTeIiOgZxc+ZZxMH3BMRERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBISHb5UKhXi4+MRGBgILy8vhIeHIzs7u9b5L126hAkTJsDb2xt9+vTB/Pnz8fCh5h8LHTx4MJydnTV+5syZI7aLRERERHpHdPhKSkrCtm3bsHjxYuzYsQMqlQphYWEoLy+vNu/9+/cRGhoKBwcH7N69G0lJScjIyNAIVsXFxcjOzsb69evxww8/CD9z584V20UiIiIivSMqfJWXlyM1NRVyuRzBwcFwcXFBXFwccnJycOTIkWrz//777+jfvz8++OADdOnSBT4+Phg1ahROnjwpzHPt2jWoVCp4e3ujffv2wo+lpaX4tSMiIiLSM6LCV2ZmJoqKihAQECBMs7KygqurK86ePVttfk9PT6xevRpGRkYAgOvXr2Pv3r3o16+fME9WVhbatWuHNm3aiOkSERERUbNgJGahnJwcAEDHjh01ptvZ2Qmv1WbIkCG4efMmHBwckJiYKEzPyspCq1atIJfLcf78edjY2ODNN99ESEgIDAwa9lyAkZFunyswNGxezyk0t/7WpXJ9nrX1aiqsp+6wlrrVkuvZnNa5OfVVX4gKXyUlJQAAExMTjemmpqYoLCx86rKxsbEoKSlBTEwMQkJCsHfvXrRu3RpXr16FQqHAkCFDEBkZiYyMDMTExKCwsBDTpk0T000AgIGBDDY2rUUv/yywsjJv6i40imd1vZoK66k7rKVusZ76jdtHe6LCl5mZGYDHY78q/x8AysrKYG7+9I3Qs2dPAEBiYiKCgoJw9OhRDB8+HBs3bkRZWZkwxsvZ2Rl//vknkpOTMXXqVNFXv1QqNRSKYlHL1sbQ0KBZ7WwKRQmUSlVTd0NnKuv/rK1XU2E9dYe11K2WXM/m9DnTGNvHysr8mb6iJip8Vd5uzMvLQ6dOnYTpeXl5cHZ2rjb/jRs3cOvWLQQHBwvTOnToAGtra+Tm5gJ4fBWt6pW07t27o7i4GIWFhbCxsRHTVQBARUXLOmirUipVz2QNntX1aiqsp+6wlrrFeuo3bh/tiYqVLi4usLCwQFpamjBNoVDg8uXL8PX1rTb/qVOnIJfLoVAohGm3bt3CgwcP4OTkBLVajUGDBmmMAQOAX375Be3bt29Q8CIiIiLSJ6LCl4mJCcaNG4fY2Fh88803yMzMxPTp02Fvb4/BgwdDqVTi3r17KC0tBQAMHToU1tbWiIqKwtWrV3Hu3DnI5XJ4eHhgwIABkMlkeOmll5CSkoKDBw/i1q1b2LlzJz766CPI5XKdrjARERFRUxJ12xEA5HI5KioqMG/ePJSWlsLX1xcpKSkwNjbG7du3MXDgQCxfvhwjRoyAtbU1Pv74Y6xYsQJjxoyBoaEhBg4ciDlz5sDQ0BAAMGPGDFhYWGD16tXIycmBo6Mj5s6di1GjRulsZYmIiIiamujwZWhoiKioKERFRVV7zdHREVlZWRrTunTpgvXr19feESMjREZGIjIyUmyXiIiIiPTes/soAREREZEeYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYREhy+VSoX4+HgEBgbCy8sL4eHhyM7OrnX+S5cuYcKECfD29kafPn0wf/58PHz4UGOeQ4cO4ZVXXoGHhweGDx+O06dPi+0eERERkV4SHb6SkpKwbds2LF68GDt27IBKpUJYWBjKy8urzXv//n2EhobCwcEBu3fvRlJSEjIyMjBnzhxhnjNnziAqKgqjR4/Gl19+iYCAAEREROD69etiu0hERESkd0SFr/LycqSmpkIulyM4OBguLi6Ii4tDTk4Ojhw5Um3+33//Hf3798cHH3yALl26wMfHB6NGjcLJkyeFeTZu3IhBgwYhJCQETk5OmD17Ntzc3PDxxx+LXzsiIiIiPSMqfGVmZqKoqAgBAQHCNCsrK7i6uuLs2bPV5vf09MTq1athZGQEALh+/Tr27t2Lfv36AXh8C/P8+fMa7QGAv79/je0RERERNVdGYhbKyckBAHTs2FFjup2dnfBabYYMGYKbN2/CwcEBiYmJAACFQoHi4mLY29tr3V59GBnp9rkCQ8Pm9ZxCc+tvXSrX51lbr6bCeuoOa6lbLbmezWmdm1Nf9YWo8FVSUgIAMDEx0ZhuamqKwsLCpy4bGxuLkpISxMTEICQkBHv37kVpaWmt7ZWVlYnposDAQAYbm9YNaqO5s7Iyb+ouNIpndb2aCuupO6ylbrGe+o3bR3uiwpeZmRmAx2O/Kv8fAMrKymBu/vSN0LNnTwBAYmIigoKCcPToUQQFBQntPak+7dVFpVJDoShuUBtVGRoaNKudTaEogVKpaupu6Exl/Z+19WoqrKfusJa61ZLr2Zw+Zxpj+1hZmT/TV9REha/K2415eXno1KmTMD0vLw/Ozs7V5r9x4wZu3bqF4OBgYVqHDh1gbW2N3NxcWFtbo1WrVsjLy9NYLi8vDx06dBDTRQ0VFS3roK1KqVQ9kzV4VterqbCeusNa6hbrqd+4fbQnKla6uLjAwsICaWlpwjSFQoHLly/D19e32vynTp2CXC6HQqEQpt26dQsPHjyAk5MTZDIZfHx8kJ6errFcWloaevfuLaaLRERERHpJVPgyMTHBuHHjEBsbi2+++QaZmZmYPn067O3tMXjwYCiVSty7d08YyzV06FBYW1sjKioKV69exblz5yCXy+Hh4YEBAwYAAEJDQ3HgwAFs2rQJ169fx8qVK3HlyhVMmDBBd2tLRERE1MRE31CVy+UYOXIk5s2bhzFjxsDQ0BApKSkwNjbG3bt30b9/fxw8eBAAYG1tLXxf15gxYxAZGQlXV1ekpKTA0NAQANC/f38sW7YM27dvxxtvvIEzZ85g3bp1cHJy0sFqEhEREekHUWO+AMDQ0BBRUVGIioqq9pqjoyOysrI0pnXp0gXr169/apvDhw/H8OHDxXaJiIiISO89u48SEBEREekhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSkFFTd4BaBgMDGQwMZDppy9DQQOO/uqJSqaFSqXXaJhERUVUMX9ToDAxksLZupfOwZGVlrtP2lEoVCgqKGcCIiKhRMXxRozMwkMHQ0ACxWzNwO/dhU3enRo4dLDFzbC8YGMgYvoiIqFExfJFkbuc+xPXfC5u6G0RERE2KA+6JiIiIJMTwRURERCShBoUvlUqF+Ph4BAYGwsvLC+Hh4cjOzq51/qtXryIiIgL+/v4ICAiAXC7HnTt3hNeVSiU8PDzg7Oys8ZOQkNCQbhIRERHpjQaFr6SkJGzbtg2LFy/Gjh07oFKpEBYWhvLy8mrzPnjwAKGhoTAzM8OWLVuwceNG5OfnIywsDGVlZQCAmzdvoqysDHv37sUPP/wg/Lz99tsN6SYRERGR3hAdvsrLy5Gamgq5XI7g4GC4uLggLi4OOTk5OHLkSLX5jx07huLiYqxcuRLdu3eHu7s7YmJicP36dZw/fx4AkJWVBQsLC7i4uKB9+/bCT+vWrcWvIREREZEeER2+MjMzUVRUhICAAGGalZUVXF1dcfbs2WrzBwQEICkpCWZmZv/35gaP316hUAB4HL6cnJzEdomIiIhI74n+qomcnBwAQMeOHTWm29nZCa89ydHREY6OjhrTNmzYADMzM/j6+gIA/ve//6GiogKTJk1CZmYmOnTogAkTJuD1118X200AgJGRbp8r0PWXhTa2pu5vU7+/NppTX3Wlsf5iQEvEWupWS65nc1rn5tRXfSE6fJWUlAAATExMNKabmpqisLDu73LasmULPv30U8ybNw+2trYAHg/IV6lUkMvlsLe3x/HjxxEdHY1Hjx5h5MiRovppYCCDjU3Lvm2p62+Cf5a15Fq15HXXNdZSt1hP/cbtoz3R4avy9mF5ebnGrcSysjKYm9e+IdRqNdauXYvk5GRMnjwZ48ePF17bv38/lEqlMMbLxcUFd+7cQUpKiujwpVKpoVAUi1q2NoaGBs1qZ1MoSqBUqprs/ZtTvZq6Vk2hcvu0xHXXNdZSt1pyPVv6edPKyvyZvqImOnxV3m7My8tDp06dhOl5eXlwdnaucZlHjx4hOjoa+/fvR3R0NCZOnKjx+pMhrlL37t3x1Vdfie0mAKCiomUdtFUplaoWX4P6asm1asnrrmuspW6xnvqN20d7omOli4sLLCwskJaWJkxTKBS4fPmyMIarqlmzZuHrr7/GqlWrqgUvhUIBPz8/7N69W2P6L7/8gm7duontJhEREZFeEX3ly8TEBOPGjUNsbCxsbW3h4OCAmJgY2NvbY/DgwVAqlcjPz4elpSXMzMywe/duHDx4ELNmzYKfnx/u3bsntGVpaQkrKyv06dMHcXFxaNu2LTp37owjR47gq6++wvr163WyskRERERNrUF/WFsul6OiogLz5s1DaWkpfH19kZKSAmNjY9y+fRsDBw7E8uXLMWLECOzfvx8AsHLlSqxcuVKjncp5li1bhoSEBCxYsAB//PEHnJychG/QJyIiInoWNCh8GRoaIioqClFRUdVec3R0RFZWlvDv1NTUOtuzsLBAdHQ0oqOjG9ItIiIiIr317D5KQERERKSHGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJKEGhS+VSoX4+HgEBgbCy8sL4eHhyM7OrnX+q1evIiIiAv7+/ggICIBcLsedO3c05tm6dSsGDhwIDw8PvPXWW7h8+XJDukhERESkVxoUvpKSkrBt2zYsXrwYO3bsgEqlQlhYGMrLy6vN++DBA4SGhsLMzAxbtmzBxo0bkZ+fj7CwMJSVlQEAvvzyS6xcuRLTpk3D7t274ejoiNDQUOTn5zekm0RERER6Q3T4Ki8vR2pqKuRyOYKDg+Hi4oK4uDjk5OTgyJEj1eY/duwYiouLsXLlSnTv3h3u7u6IiYnB9evXcf78eQDAunXrMG7cOAwbNgxdu3bFsmXLYG5ujs8//1z8GhIRERHpEdHhKzMzE0VFRQgICBCmWVlZwdXVFWfPnq02f0BAAJKSkmBmZvZ/b27w+O0VCgX++OMP3Lx5U6M9IyMj9O7du8b2iIiIiJojI7EL5uTkAAA6duyoMd3Ozk547UmOjo5wdHTUmLZhwwaYmZnB19cXd+/erbW9zMxMsd0kIiIi0iuiw1dJSQkAwMTERGO6qakpCgsL61x+y5Yt+PTTTzFv3jzY2trixo0btbZXOSZMLCMj3T7UaWjYvB4Sber+NvX7a6M59VVXKte5Ja67rrGWutWS69mc1rk59VVfiA5flbcPy8vLNW4llpWVwdzcvNbl1Go11q5di+TkZEyePBnjx4+v1t6T6mqvLgYGMtjYtBa9/LPAykp8/VqallyrlrzuusZa6hbrqd+4fbQnOnxV3h7My8tDp06dhOl5eXlwdnaucZlHjx4hOjoa+/fvR3R0NCZOnFhje05OThrtdejQQWw3oVKpoVAUi16+JoaGBs1qZ1MoSqBUqprs/ZtTvZq6Vk2hcvu0xHXXNdZSt1pyPVv6edPKyvyZvqImOny5uLjAwsICaWlpQvhSKBS4fPkyxo0bV+Mys2bNwtGjR7Fq1Sq8+uqrGq+1bdsWXbp0QVpamjDovqKiAufOncNbb70ltpv/v52WddBWpVSqWnwN6qsl16olr7uusZa6xXrqN24f7YkOXyYmJhg3bhxiY2Nha2sLBwcHxMTEwN7eHoMHD4ZSqUR+fj4sLS1hZmaG3bt34+DBg5g1axb8/Pxw7949oa3Ked5++20sXboUnTt3Rs+ePbFhwwaUlpZi5MiROllZIiIioqYmOnwBgFwuR0VFBebNm4fS0lL4+voiJSUFxsbGuH37NgYOHIjly5djxIgR2L9/PwBg5cqVWLlypUY7lfOMGjUKDx8+xJo1a1BQUAB3d3ds2rQJtra2DekmERERkd5oUPgyNDREVFQUoqKiqr3m6OiIrKws4d+pqan1anPSpEmYNGlSQ7pFREREpLee3dFsRERERHqI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpKQ6PClUqkQHx+PwMBAeHl5ITw8HNnZ2fVaLiwsDAkJCdVeGzx4MJydnTV+5syZI7aLRERERHrHSOyCSUlJ2LZtG1asWAF7e3vExMQgLCwM+/btg4mJSY3LlJeXY/78+Thx4gQ8PT01XisuLkZ2djbWr18PNzc3YbqZmZnYLhIRERHpHVFXvsrLy5Gamgq5XI7g4GC4uLggLi4OOTk5OHLkSI3LnD9/HiNGjMC5c+dgZWVV7fVr165BpVLB29sb7du3F34sLS3FdJGIiIhIL4kKX5mZmSgqKkJAQIAwzcrKCq6urjh79myNyxw/fhyBgYHYs2dPjYEqKysL7dq1Q5s2bcR0iYiIiKhZEHXbMScnBwDQsWNHjel2dnbCa1VNnz79qW1mZWWhVatWkMvlOH/+PGxsbPDmm28iJCQEBgYNey7AyEi3zxUYGjav5xSaur9N/f7aaE591ZXKdW6J665rrKVuteR6Nqd1bk591ReiwldJSQkAVBvbZWpqisLCQlEduXr1KhQKBYYMGYLIyEhkZGQgJiYGhYWFmDZtmqg2AcDAQAYbm9ail38WWFmZN3UXmo2WXKuWvO66xlrqFuup37h9tCcqfFUOgi8vL9cYEF9WVgZzc3EbYePGjSgrKxNuSTo7O+PPP/9EcnIypk6dKvrql0qlhkJRLGrZ2hgaGjSrnU2hKIFSqWqy929O9WrqWjWFyu3TEtdd11hL3WrJ9Wzp500rK/Nn+oqaqPBVebsxLy8PnTp1Eqbn5eXB2dlZVEdMTEyqXUnr3r07iouLUVhYCBsbG1HtAkBFRcs6aKtSKlUtvgb11ZJr1ZLXXddYS91iPfUbt4/2RMVKFxcXWFhYIC0tTZimUChw+fJl+Pr6at2eWq3GoEGDkJiYqDH9l19+Qfv27RsUvIiIiIj0iagrXyYmJhg3bhxiY2Nha2sLBwcHxMTEwN7eHoMHD4ZSqUR+fj4sLS3r9T1dMpkML730ElJSUvD888/D3d0dp0+fxkcffYS5c+eK6SIRERGRXhL9JatyuRwVFRWYN28eSktL4evri5SUFBgbG+P27dsYOHAgli9fjhEjRtSrvRkzZsDCwgKrV69GTk4OHB0dMXfuXIwaNUpsF4mIiIj0jujwZWhoiKioKERFRVV7zdHREVlZWbUu++2331bviJERIiMjERkZKbZLRERERHrv2X2UgIiIiEgPMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEKiw5dKpUJ8fDwCAwPh5eWF8PBwZGdn12u5sLAwJCQkVHvt0KFDeOWVV+Dh4YHhw4fj9OnTYrtHREREpJdEh6+kpCRs27YNixcvxo4dO4RQVV5eXusy5eXl+Ne//oUTJ05Ue+3MmTOIiorC6NGj8eWXXyIgIAARERG4fv262C4SERER6R1R4au8vBypqamQy+UIDg6Gi4sL4uLikJOTgyNHjtS4zPnz5zFixAicO3cOVlZW1V7fuHEjBg0ahJCQEDg5OWH27Nlwc3PDxx9/LKaLRERERHpJVPjKzMxEUVERAgIChGlWVlZwdXXF2bNna1zm+PHjCAwMxJ49e2Bpaanxmkqlwvnz5zXaAwB/f/9a2yMiIiJqjozELJSTkwMA6Nixo8Z0Ozs74bWqpk+fXmt7CoUCxcXFsLe3r3d7RERERM2RqPBVUlICADAxMdGYbmpqisLCQq3bKy0trbW9srIyMV3UYGSk24c6DQ2b10OiTd3fpn5/bTSnvupK5Tq3xHXXNdZSt1pyPZvTOjenvuoLUeHLzMwMwOOxX5X/DwBlZWUwNzfXuj1TU1OhvSeJbe9JBgYy2Ni0blAbzZ2VVcNq2JK05Fq15HXXNdZSt1hP/cbtoz1R4avydmNeXh46deokTM/Ly4Ozs7PW7VlbW6NVq1bIy8vTmJ6Xl4cOHTqI6aJApVJDoShuUBtVGRoaNKudTaEogVKparL3b071aupaNYXK7dMS113XWEvdasn1bOnnTSsr82f6ipqo8OXi4gILCwukpaUJ4UuhUODy5csYN26c1u3JZDL4+PggPT0df//734XpaWlp6N27t5guaqioaFkHbVVKparF16C+WnKtWvK66xprqVusp37j9tGeqPBlYmKCcePGITY2Fra2tnBwcEBMTAzs7e0xePBgKJVK5Ofnw9LSUuO25NOEhoYiIiICrq6ueOGFF7Br1y5cuXIFS5cuFdNFIiIiIr0k+pqeXC7HyJEjMW/ePIwZMwaGhoZISUmBsbEx7t69i/79++PgwYP1bq9///5YtmwZtm/fjjfeeANnzpzBunXr4OTkJLaLRERERHpH1JUvADA0NERUVBSioqKqvebo6IisrKxal/32229rnD58+HAMHz5cbJeIiIiI9N6zO5qNiIiISA8xfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBISHb5UKhXi4+MRGBgILy8vhIeHIzs7u9b5Hzx4gBkzZsDX1xd+fn5YtGgRSkpKNOYZPHgwnJ2dNX7mzJkjtotEREREesdI7IJJSUnYtm0bVqxYAXt7e8TExCAsLAz79u2DiYlJtfnlcjlKSkqwefNmKBQKzJ07F8XFxfjwww8BAMXFxcjOzsb69evh5uYmLGdmZia2i0RERER6R9SVr/LycqSmpkIulyM4OBguLi6Ii4tDTk4Ojhw5Um3+CxcuID09HR9++CHc3NwQEBCADz74AHv37kVubi4A4Nq1a1CpVPD29kb79u2FH0tLy4atIREREZEeERW+MjMzUVRUhICAAGGalZUVXF1dcfbs2Wrznzt3Du3bt4eTk5Mwzc/PDzKZDBkZGQCArKwstGvXDm3atBHTJSIiIqJmQdRtx5ycHABAx44dNabb2dkJrz0pNze32rwmJiawtrbG3bt3ATwOX61atYJcLsf58+dhY2ODN998EyEhITAwaNhzAUZGun2uwNCweT2n0NT9ber310Zz6quuVK5zS1x3XWMtdasl17M5rXNz6qu+EBW+KgfKVx3bZWpqisLCwhrnr2kcmKmpKcrKygAAV69ehUKhwJAhQxAZGYmMjAzExMSgsLAQ06ZNE9NNAICBgQw2Nq1FL/8ssLIyb+ouNBstuVYted11jbXULdZTv3H7aE9U+KocBF9eXq4xIL6srAzm5tU3gpmZGcrLy6tNLysrQ6tWrQAAGzduRFlZmTDGy9nZGX/++SeSk5MxdepU0Ve/VCo1FIpiUcvWxtDQoFntbApFCZRKVZO9f3OqV1PXqilUbp+WuO66xlrqVkuuZ0s/b1pZmT/TV9REha/KW4h5eXno1KmTMD0vLw/Ozs7V5re3t8exY8c0ppWXl6OgoAB2dnYAHl9Fq3p1rHv37iguLkZhYSFsbGzEdBUAUFHRsg7aqpRKVYuvQX215Fq15HXXNdZSt1hP/cbtoz1RsdLFxQUWFhZIS0sTpikUCly+fBm+vr7V5vf19UVOTg5+++03YVp6ejoAoFevXlCr1Rg0aBASExM1lvvll1/Qvn37BgUvIiIiIn0i6sqXiYkJxo0bh9jYWNja2sLBwQExMTGwt7fH4MGDoVQqkZ+fD0tLS5iZmcHT0xM+Pj6YPn06Fi5ciOLiYsyfPx/Dhw9Hhw4dAAAvvfQSUlJS8Pzzz8Pd3R2nT5/GRx99hLlz5+p0hYmIiIiakugvWZXL5aioqMC8efNQWloKX19fpKSkwNjYGLdv38bAgQOxfPlyjBgxAjKZDImJiVi0aBEmTJgAU1NTvPzyy4iOjhbamzFjBiwsLLB69Wrk5OTA0dERc+fOxahRo3SyokRERET6QHT4MjQ0RFRUFKKioqq95ujoiKysLI1pbdu2RXx8fO0dMTJCZGQkIiMjxXaJiIiISO89u48SEBEREekhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCDF9EREREEmL4IiIiIpIQwxcRERGRhBi+iIiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBJi+CIiIiKSEMMXERERkYQYvoiIiIgkxPBFREREJCGGLyIiIiIJMXwRERERSYjhi4iIiEhCosOXSqVCfHw8AgMD4eXlhfDwcGRnZ9c6/4MHDzBjxgz4+vrCz88PixYtQklJicY8hw4dwiuvvAIPDw8MHz4cp0+fFts9IiIiIr0kOnwlJSVh27ZtWLx4MXbs2AGVSoWwsDCUl5fXOL9cLsdvv/2GzZs3Y+3atTh+/DgWLlwovH7mzBlERUVh9OjR+PLLLxEQEICIiAhcv35dbBeJiIiI9I6o8FVeXo7U1FTI5XIEBwfDxcUFcXFxyMnJwZEjR6rNf+HCBaSnp+PDDz+Em5sbAgIC8MEHH2Dv3r3Izc0FAGzcuBGDBg1CSEgInJycMHv2bLi5ueHjjz9u2BoSERER6RFR4SszMxNFRUUICAgQpllZWcHV1RVnz56tNv+5c+fQvn17ODk5CdP8/Pwgk8mQkZEBlUqF8+fPa7QHAP7+/jW2R0RERNRcGYlZKCcnBwDQsWNHjel2dnbCa0/Kzc2tNq+JiQmsra1x9+5dKBQKFBcXw97evl7tacPAQAZb29YNaqMqmezxfxeGB6BCqdJp27pkZPg4W7dpYw61uun60RzqpS+1agqV26clrruusZa61ZLr2dLPmwYGMt02qGdEha/KgfImJiYa001NTVFYWFjj/FXnrZy/rKwMpaWltbZXVlYmposCmUwGQ8PG2YjWlqaN0q6uGRjox0OtzaFe+lKrptCS113XWEvdasn15Hnz2SSqYmZmZgBQbXB9WVkZzM3Na5y/poH4ZWVlaNWqFUxNTbVqj4iIiKi5EhW+Km8h5uXlaUzPy8tDhw4dqs1vb29fbd7y8nIUFBTAzs4O1tbWaNWqVb3bIyIiImquRIUvFxcXWFhYIC0tTZimUChw+fJl+Pr6Vpvf19cXOTk5+O2334Rp6enpAIBevXpBJpPBx8dHmFYpLS0NvXv3FtNFIiIiIr0kasyXiYkJxo0bh9jYWNja2sLBwQExMTGwt7fH4MGDoVQqkZ+fD0tLS5iZmcHT0xM+Pj6YPn06Fi5ciOLiYsyfPx/Dhw8XrmyFhoYiIiICrq6ueOGFF7Br1y5cuXIFS5cu1ekKExERETUlmVot7hkFpVKJ1atXY/fu3SgtLYWvry/mz58PR0dH3L59GwMHDsTy5csxYsQIAMAff/yBRYsW4cSJEzA1NcXLL7+M6OhoYbwXAOzZswdJSUnIyclB165dERUVVe3rJ4iIiIiaM9Hhi4iIiIi0x+dDiYiIiCTE8EVEREQkIYYvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvjSEZVKhfj4eAQGBsLLywvh4eHIzs6udf4HDx5gxowZ8PX1hZ+fHxYtWiT8wfKWTttaPrlcWFgYEhISJOhl86FtPa9evYqIiAj4+/sjICAAcrkcd+7ckbDH+kvbWl66dAkTJkyAt7c3+vTpg/nz5+Phw4cS9li/iT3WAeCrr76Cs7Mzbt++3ci9bB60rWVl/ar+sJ7SYPjSkaSkJGzbtg2LFy/Gjh07hCBQ0x8UBwC5XI7ffvsNmzdvxtq1a3H8+HEsXLhQ2k7rKW1rCTz+W6H/+te/cOLECQl72jxoU88HDx4gNDQUZmZm2LJlCzZu3Ij8/HyEhYWhrKysCXqvX7Sp5f379xEaGgoHBwfs3r0bSUlJyMjIwJw5c5qg5/pJzLEOAL///js++OADiXrZPGhby6ysLPj5+eGHH37Q+Kn8283UyNTUYGVlZWpvb2/11q1bhWmFhYVqDw8P9b59+6rNf/78eXX37t3V165dE6adOHFC7ezsrM7JyZGkz/pK21qq1Wp1RkaG+tVXX1UPHDhQ3bt3b3V8fLxU3dV72tbzs88+U3t7e6tLSkqEaXfu3FF3795dferUKUn6rK+0reWPP/6onj59uvrRo0fCtM2bN6s9PT2l6K7eE3Osq9VqtVKpVI8ZM0YdEhKi7t69uzo7O1uK7uo1MbUMCwtTL168WKouUhW88qUDmZmZKCoq0vhTSFZWVnB1dcXZs2erzX/u3Dm0b98eTk5OwjQ/Pz/IZDJkZGRI0md9pW0tAeD48eMIDAzEnj17YGlpKVVXmwVt6xkQEICkpCSYmZkJ0wwMHp8mFApF43dYj2lbS09PT6xevRpGRo//hO7169exd+9e9OvXT7I+6zMxxzoArFu3Do8ePcI777wjRTebBTG1zMrK0vgMImmJ+sPapCknJwcAql2utbOzE157Um5ubrV5TUxMYG1tjbt37zZeR5sBbWsJANOnT2/0fjVX2tbT0dERjo6OGtM2bNgAMzMz+Pr6Nl5HmwEx+2alIUOG4ObNm3BwcEBiYmKj9bE5EVPPn3/+Gampqfjiiy+Qm5vb6H1sLrStZWFhIXJzc3Hu3Dls27YNDx48gIeHB6KiotClSxdJ+tzS8cqXDlQOlDcxMdGYbmpqWuM4mZKSkmrzPm3+lkTbWtLTNbSeW7ZswaeffoqZM2fC1ta2UfrYXDSklrGxsdiyZQvatm2LkJAQFBUVNVo/mwtt61lcXIyZM2di5syZ+Otf/ypFF5sNbWt59epVAIBarcby5cuxZs0alJWV4a233sL9+/cbv8PE8KULlbdoqg5sLCsrg7m5eY3z1zQIsqysDK1atWqcTjYT2taSnk5sPdVqNdasWYMlS5Zg8uTJGD9+fKP2szloyL7Zs2dP+Pn5ITExEbdv38bRo0cbrZ/Nhbb1XLJkCbp06YLRo0dL0r/mRNta9u7dG6dPn8aqVavg7u6O3r17IzExESqVCrt375akzy0dw5cOVF7qzcvL05iel5eHDh06VJvf3t6+2rzl5eUoKCiAnZ1d43W0GdC2lvR0Yur56NEjREVFYd26dYiOjsY///nPxu5ms6BtLW/cuIHvvvtOY1qHDh1gbW3NW2bQvp67du3CqVOn4O3tDW9vb4SHhwMAhg4dinXr1jV+h/WYmOPc1tYWMplM+Le5uTkcHR25b0qE4UsHXFxcYGFhgbS0NGGaQqHA5cuXaxwn4+vri5ycHPz222/CtPT0dABAr169Gr/DekzbWtLTiannrFmz8PXXX2PVqlWYOHGiRD3Vf9rW8tSpU5DL5RoPKty6dQsPHjzgQGdoX88jR45g//792LNnD/bs2YMlS5YAeDwmsaVfDdO2ljt37oS/vz+Ki4uFaX/++Sdu3ryJrl27StLnlo4D7nXAxMQE48aNQ2xsLGxtbeHg4ICYmBjY29tj8ODBUCqVyM/Ph6WlJczMzODp6QkfHx9Mnz4dCxcuRHFxMebPn4/hw4e3+Ks72taSnk7beu7evRsHDx7ErFmz4Ofnh3v37glttfSaa1vLoUOHYsOGDYiKisLMmTNRWFiIJUuWwMPDAwMGDGjq1Wly2tazc+fOGstXDiT/y1/+Amtr6yZYA/2hbS1feOEFxMbGYtasWZg2bRpKS0uxevVq2NraYsSIEU29Oi1DU3/XxbOioqJCvXLlSnWfPn3UXl5e6vDwcOH7Z7Kzs9Xdu3dX79q1S5j//v376qlTp6q9vLzU/v7+6gULFqhLS0ubqvt6RdtaPmnAgAH8nq8qtKlnaGiounv37jX+1FbzlkTbffPGjRvqiIgIda9evdR+fn7q6OhodWFhYVN1X+805Fg/c+YMv+frCdrW8uLFi+rQ0FB1r1691D4+PuqpU6eq79y501Tdb3FkarVa3dQBkIiIiKil4JgvIiIiIgkxfBERERFJiOGLiIiISEIMX0REREQSYvgiIiIikhDDFxEREZGEGL6IiIiIJMTwRURERCQhhi8iIiIiCTF8EREREUmI4YuIiIhIQgxfRERERBL6fzOPk5x0IuZQAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -2044,15 +2039,25 @@ "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"noise_width\"])\n", "\n", - "for o in [1.0, 5.0, 10.0]:\n", + "# for o in [1.0, 5.0, 10.0]:\n", + "for o in [0.1,0.01,0.5]:\n", " outcome = torch.tensor([o])\n", "\n", " log_prob = emp_marginal.log_prob(outcome)\n", " p = np.exp(log_prob)\n", " print(\"P(noise_width={}) = {}\".format(o,p))\n", " \n", - "viz(emp_marginal, plot_args={\"tick_label\":[\"1.0\", \"5.0\", \"10.0\"]}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" + "# tick_labels = [\"1.0\", \"5.0\", \"10.0\"]\n", + "tick_labels = None\n", + "viz(emp_marginal, plot_args={\"tick_label\":tick_labels, \"width\": 0.05}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From e9ad0ce010b6aa782c61454ea9cec23e5caecd34 Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Thu, 10 Nov 2022 21:51:52 +0000 Subject: [PATCH 7/8] Reverted noise values and only sample one block - this works for now --- chapters/Chapter 2 - Generative Models.ipynb | 139 ++++++++++++------- 1 file changed, 91 insertions(+), 48 deletions(-) diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 448dc01..595fc09 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -1630,7 +1630,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -1643,7 +1643,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "hidden": true }, @@ -1677,7 +1677,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 74, "metadata": {}, "outputs": [], "source": [ @@ -1726,21 +1726,26 @@ " block = Block()\n", " if prev_block == None:\n", " block.is_first = True\n", - " Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE, dtype=torch.float)))\n", - " block.x = int(Block_x.item())\n", + " block.x = X_CENTRE\n", + " # Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE, dtype=torch.float)))\n", + " # block.x = int(Block_x.item())\n", " block.y = FLOOR_HEIGHT + block.h/2\n", "\n", " else:\n", - " vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))), dtype=torch.float)\n", - " probs = torch.ones(vals.size(), dtype=torch.float)\n", - " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Empirical(samples=vals, log_weights=probs))\n", - " block.x = int(Block_x.item())\n", - " # block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", + " # vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))), dtype=torch.float)\n", + " # log_probs = torch.log(torch.ones(vals.size(), dtype=torch.float))\n", + " # Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Empirical(samples=vals, log_weights=log_probs))\n", + " # block.x = int(Block_x.item())\n", + " block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", " block.y = prev_block.y + prev_block.h/2 + block.h/2\n", "\n", " else:\n", " block = deepcopy(new_block)\n", - " Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", + " # Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", + " if idx == 4:\n", + " Block_4_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", + " # if idx == 1:\n", + " # Block1 = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", "\n", " # pymunk box coords are at Centre of Mass !\n", "\n", @@ -1765,9 +1770,16 @@ " self.space.step(step_dt)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Convenience" + ] + }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -1847,18 +1859,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 34, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "c:\\Users\\Jonathan\\OneDrive\\University\\4th Year\\4YP\\causal-ml\\lib\\site-packages\\pyglet\\image\\codecs\\wic.py:406: UserWarning: [WinError -2147417850] Cannot change thread mode after it is set\n", - " warnings.warn(str(err))\n" - ] - } - ], + "outputs": [], "source": [ "if __name__ == \"__main__\":\n", " animation = Animate()\n", @@ -1874,7 +1877,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -1891,9 +1894,9 @@ "def noisify(world):\n", " noisy_world = deepcopy(world)\n", "\n", - " vals = torch.tensor([0.01, 0.50, 0.10], dtype=torch.float)\n", - " probs = torch.tensor([0.2, 0.6, 0.2], dtype=torch.float)\n", - " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=probs))\n", + " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", + " log_probs = torch.log(torch.tensor([0.2, 0.6, 0.2], dtype=torch.float))\n", + " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=log_probs))\n", " noise_width = float(noise_width.item())\n", "\n", " def perturb_x(b):\n", @@ -1923,7 +1926,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ @@ -1959,14 +1962,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{True: 20, False: 0}\n" + "{True: 16, False: 4}\n" ] } ], @@ -1978,52 +1981,89 @@ "print(out)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Inference" + ] + }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 80, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(1.0000)\n" + "odict_keys(['_INPUT', 'noise_width', 'Block_4_x', 'Stability', '_RETURN'])\n", + "tensor(0.6667)\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "nw = 0.10\n", - "conditioned_model = pyro.condition(model, {\"noise_width\": torch.tensor(nw)})\n", - "importance = Importance(conditioned_model, guide=None, num_samples=10)\n", + "nw = 5.0\n", + "conditions = {\n", + " \"noise_width\" : torch.tensor(nw, dtype=torch.float),\n", + " # \"Block_4_x\" : torch.tensor(240, dtype=torch.float)\n", + "}\n", + "\n", + "conditioned_model = pyro.condition(model, conditions)\n", + "\n", + "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", + "\n", + "t = pyro.poutine.trace(conditioned_model).get_trace()\n", + "print(t.nodes.keys())\n", + "# for key, value in t.nodes.items():\n", + "# print(key, value)\n", + "# print('\\n')\n", + "\n", + "# print(np.exp(t.log_prob_sum()))\n", + "# params = [t.nodes[name][\"value\"].unconstrained() for name in t.param_nodes]\n", + "# print(params)\n", + "\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"Stability\"])\n", - "outcome = torch.tensor([True])\n", + "# print(emp_marginal.log_weights)\n", + "# print(emp_marginal.enumerate_support())\n", + "outcome = torch.tensor([True], dtype=torch.float)\n", "\n", "log_prob = emp_marginal.log_prob(outcome)\n", "p = np.exp(log_prob)\n", "print(p)\n", "\n", - "# viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width={}\".format(nw))" + "viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width={}\".format(nw))" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "P(noise_width=0.1) = 0.25999999046325684\n", - "P(noise_width=0.01) = 0.37000003457069397\n", - "P(noise_width=0.5) = 0.3699999749660492\n" + "P(noise_width=1.0) = 0.2857142984867096\n", + "P(noise_width=5.0) = 0.5714285969734192\n", + "P(noise_width=10.0) = 0.1428571492433548\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -2033,23 +2073,26 @@ } ], "source": [ - "conditioned_model = pyro.condition(model, {\"S\": torch.tensor(False)})\n", + "conditions = {\n", + " \"Stability\": torch.tensor(False, dtype=torch.float)\n", + "}\n", + "conditioned_model = pyro.condition(model, conditions)\n", "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", "# importance = Importance(model, guide=None, num_samples=100)\n", "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"noise_width\"])\n", "\n", - "# for o in [1.0, 5.0, 10.0]:\n", - "for o in [0.1,0.01,0.5]:\n", + "# for o in [1.0]:\n", + "for o in [1.0, 5.0, 10.0]:\n", " outcome = torch.tensor([o])\n", "\n", " log_prob = emp_marginal.log_prob(outcome)\n", " p = np.exp(log_prob)\n", " print(\"P(noise_width={}) = {}\".format(o,p))\n", " \n", - "# tick_labels = [\"1.0\", \"5.0\", \"10.0\"]\n", - "tick_labels = None\n", - "viz(emp_marginal, plot_args={\"tick_label\":tick_labels, \"width\": 0.05}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" + "tick_labels = [\"1.0\", \"5.0\", \"10.0\"]\n", + "# tick_labels = None\n", + "viz(emp_marginal, plot_args={\"tick_label\":tick_labels, \"width\": 1}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" ] }, { From b8895e19b916dc795c5c63912cf1f115c72377ac Mon Sep 17 00:00:00 2001 From: Jonathan Routley Date: Tue, 3 Jan 2023 17:14:47 +0000 Subject: [PATCH 8/8] cleaned up edits and moved some code into a new file within the pyro_webppl module. Also added a gif for online viewing --- chapters/Chapter 2 - Generative Models.ipynb | 638 ++++++------------- img/tower_animations.gif | Bin 0 -> 2549796 bytes pyro_webppl/physics_example.py | 228 +++++++ 3 files changed, 422 insertions(+), 444 deletions(-) create mode 100644 img/tower_animations.gif create mode 100644 pyro_webppl/physics_example.py diff --git a/chapters/Chapter 2 - Generative Models.ipynb b/chapters/Chapter 2 - Generative Models.ipynb index 595fc09..49cd023 100644 --- a/chapters/Chapter 2 - Generative Models.ipynb +++ b/chapters/Chapter 2 - Generative Models.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 112, "metadata": { "ExecuteTime": { "end_time": "2019-09-11T05:34:01.171283Z", @@ -15,8 +15,8 @@ "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Rectangle\n", "import numpy as np\n", - "from numpy.random import randint\n", "\n", "import pyro\n", "import pyro.distributions as dist\n", @@ -26,6 +26,8 @@ "from pyro_webppl import viz\n", "\n", "# imports for physics example:\n", + "from pyro_webppl.physics_example import Block, Simulate, Animate, infer_physics, draw_world, run_simulation\n", + "\n", "import pyglet\n", "from pyglet.gl import *\n", "from pyglet.window import key, mouse\n", @@ -201,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.966215Z", @@ -212,10 +214,10 @@ { "data": { "text/plain": [ - "tensor(1.)" + "tensor(0.)" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -233,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:39.977154Z", @@ -247,11 +249,11 @@ "text": [ "tensor(0.)\n", "tensor(1.)\n", - "tensor(0.)\n", - "tensor(0.)\n", "tensor(1.)\n", "tensor(0.)\n", + "tensor(1.)\n", "tensor(0.)\n", + "tensor(1.)\n", "tensor(0.)\n", "tensor(1.)\n", "tensor(1.)\n" @@ -275,7 +277,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.179095Z", @@ -285,7 +287,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -312,7 +314,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.189771Z", @@ -324,16 +326,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "tensor(3.)\n", "tensor(2.)\n", "tensor(2.)\n", "tensor(0.)\n", + "tensor(1.)\n", + "tensor(1.)\n", "tensor(2.)\n", "tensor(2.)\n", - "tensor(0.)\n", "tensor(3.)\n", - "tensor(2.)\n", - "tensor(1.)\n" + "tensor(0.)\n", + "tensor(2.)\n" ] } ], @@ -353,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.420548Z", @@ -364,7 +366,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -390,7 +392,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.428745Z", @@ -406,12 +408,12 @@ "3\n", "3\n", "6\n", - "3\n", + "6\n", "6\n", "3\n", - "3\n", - "3\n", - "3\n" + "6\n", + "6\n", + "6\n" ] } ], @@ -448,7 +450,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.551430Z", @@ -458,7 +460,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -481,7 +483,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:40.667676Z", @@ -491,7 +493,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", 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" ] @@ -514,7 +516,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.062047Z", @@ -524,7 +526,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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dGjlypOx2+1XHP/vsszp16pTWrVundevW6dSpUxo7duxNTxwAANQ8HoWJ3W7X2rVrlZiYqLi4OEVFRSk5OVlZWVnauXNnhfH5+flKS0tTQkKCWrZsqVatWmnUqFE6dOiQzp8/761jAAAANYRHYZKRkaHCwkLFxMS4l4WEhKhVq1Y6cOBAhfE2m02BgYF69913VVBQoIKCAr333nu64447FBIScvOzBwAANYqvJ4OzsrIkSQ0aNCi3PDw83P3alfz8/PTKK69o+vTp6ty5s3x8fBQeHq4NGzbIYrm55259fb373K7Vain3NwAAN6M6n08sFh+vn2evl0dhUlxcLOlycFzJ399feXl5Fca7XC5988036tixo0aOHCmHw6Hk5GQ9/fTT+uMf/6igoKAbmrTF4qPQ0MAbWvf7hIQE3JLtAgBQXQQF2aps3x6Fic12eaJ2u939tSSVlJQoIKDiCf2DDz7Qhg0b9PHHH7sjZPny5erZs6c2b96s4cOH39CknU6X8vOLbmjdylitFoWEBCg/v1gOh9Or2wYA/PiUnVeqo4KCi7p0yeHVbYaEBFzXVSSPwqTsFk5OTo6aNGniXp6Tk6MWLVpUGP/FF1/ojjvuKHdlpE6dOrrjjjt0/PhxT3ZdQWnprYkHh8N5y7YNAEB14HS6quxc6NENpKioKAUFBWn//v3uZfn5+UpPT1d0dHSF8RERETp+/LhKSkrcy4qKipSZmammTZve+KwBAECN5FGY+Pn5KT4+XklJSfrLX/6ijIwMTZgwQREREerTp48cDofOnDmjixcvSpL69esn6fLPMsnIyFBGRoYmTpwof39/DRgwwOsHAwAAqjePH7lNTEzUwIEDNW3aNA0ePFhWq1Vr1qxRrVq1dPr0aXXv3l2pqamSLn9aZ+PGjXK5XBo2bJieeOIJ1apVSxs3blRwcLDXDwYAAFRvPi6Xy1XVk/CUw+FUbm6hV7fp62tRaGigzp0r5BkTAMBNKzuvPLtgt46erPjJVRM1i6yjhRPjlJ9frJKSUq9uOyws8Loefq2+H7IGAAA1DmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIzhcZg4nU4tXrxYsbGx6tChgxISEnTixIlKx1+6dEnz5893j4+Pj9c333xzU5MGAAA1k8dhsmzZMm3cuFGzZ8/Wpk2b5HQ6NXLkSNnt9quOnzFjhrZu3aqXXnpJW7ZsUVhYmBISEnThwoWbnjwAAKhZPAoTu92utWvXKjExUXFxcYqKilJycrKysrK0c+fOCuNPnDihLVu2aO7cuYqNjVWzZs00Z84c+fn56W9/+5vXDgIAANQMHoVJRkaGCgsLFRMT414WEhKiVq1a6cCBAxXG7927V8HBwerRo0e58R999FG5bQAAAEiSryeDs7KyJEkNGjQotzw8PNz92pWOHTumxo0ba+fOnVq5cqWys7PVqlUr/eY3v1GzZs1uYtqSr693n9u1Wi3l/gYA4GZU5/OJxeLj9fPs9fIoTIqLiyVJfn5+5Zb7+/srLy+vwviCggIdP35cy5Yt0+TJkxUSEqLXX39djz32mFJTU3Xbbbfd0KQtFh+Fhgbe0LrfJyQk4JZsFwCA6iIoyFZl+/YoTGy2yxO12+3uryWppKREAQEVT+i+vr4qKChQcnKy+wpJcnKy7r77br3zzjsaOXLkDU3a6XQpP7/ohtatjNVqUUhIgPLzi+VwOL26bQDAj0/ZeaU6Kii4qEuXHF7dZkhIwHVdRfIoTMpu4eTk5KhJkybu5Tk5OWrRokWF8REREfL19S1328Zms6lx48bKzMz0ZNcVlJbemnhwOJy3bNsAAFQHTqerys6FHt1AioqKUlBQkPbv3+9elp+fr/T0dEVHR1cYHx0drdLSUh06dMi97OLFizpx4oRuv/32m5g2AACoiTy6YuLn56f4+HglJSUpLCxMkZGRmjdvniIiItSnTx85HA7l5uYqODhYNptNnTt31i9+8QtNmTJFs2bNUt26dbV48WJZrVY9/PDDt+qYAABANeXxI7eJiYkaOHCgpk2bpsGDB8tqtWrNmjWqVauWTp8+re7duys1NdU9fsmSJerSpYvGjRungQMHqqCgQG+++abCwsK8eiAAAKD683G5XK6qnoSnHA6ncnMLvbpNX1+LQkMDde5cIc+YAABuWtl55dkFu3X0ZMVPrpqoWWQdLZwYp/z8YpWUlHp122Fhgdf18Gv1/ZA1AACocQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMj8PE6XRq8eLFio2NVYcOHZSQkKATJ05c17rbtm1TixYtlJmZ6fFEAQBAzedxmCxbtkwbN27U7NmztWnTJjmdTo0cOVJ2u/2a6508eVKzZs264YkCAICaz6MwsdvtWrt2rRITExUXF6eoqCglJycrKytLO3furHQ9p9OpSZMmqXXr1jc9YQAAUHN5FCYZGRkqLCxUTEyMe1lISIhatWqlAwcOVLre8uXLdenSJY0ePfrGZwoAAGo8X08GZ2VlSZIaNGhQbnl4eLj7te86ePCg1q5dq82bNys7O/sGp1mRr693n9u1Wi3l/gYA4GZU5/OJxeLj9fPs9fIoTIqLiyVJfn5+5Zb7+/srLy+vwviioiI9//zzev7559W0aVOvhYnF4qPQ0ECvbOu7QkICbsl2AQCoLoKCbFW2b4/CxGa7PFG73e7+WpJKSkoUEFDxhD5nzhzdcccdGjRo0E1Oszyn06X8/CKvbtNqtSgkJED5+cVyOJxe3TYA4Men7LxSHRUUXNSlSw6vbjMkJOC6riJ5FCZlt3BycnLUpEkT9/KcnBy1aNGiwvgtW7bIz89PHTt2lCQ5HJcP8qGHHtKYMWM0ZswYT3ZfTmnprYkHh8N5y7YNAEB14HS6quxc6FGYREVFKSgoSPv373eHSX5+vtLT0xUfH19h/Hc/qfP1119r0qRJWrlypZo3b34T0wYAADWRR2Hi5+en+Ph4JSUlKSwsTJGRkZo3b54iIiLUp08fORwO5ebmKjg4WDabTbfffnu59csekG3YsKHq1q3rtYMAAAA1g8eP3CYmJmrgwIGaNm2aBg8eLKvVqjVr1qhWrVo6ffq0unfvrtTU1FsxVwAAUMP5uFwuV1VPwlMOh1O5uYVe3aavr0WhoYE6d66QZ0wAADet7Lzy7ILdOnqy4idXTdQsso4WToxTfn6xSkpKvbrtsLDA63r4tfp+yBoAANQ4hAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIxBmAAAAGMQJgAAwBiECQAAMIbHYeJ0OrV48WLFxsaqQ4cOSkhI0IkTJyod/z//8z8aNWqUunbtqpiYGCUmJurUqVM3NWkAAFAzeRwmy5Yt08aNGzV79mxt2rRJTqdTI0eOlN1urzD23LlzeuKJJ2Sz2bR+/XqtWrVKubm5GjlypEpKSrxyAAAAoObwKEzsdrvWrl2rxMRExcXFKSoqSsnJycrKytLOnTsrjN+1a5eKior02muvqXnz5mrTpo3mzZuno0eP6q9//avXDgIAANQMHoVJRkaGCgsLFRMT414WEhKiVq1a6cCBAxXGx8TEaNmyZbLZbP/eoeXyLvPz8290zgAAoIby9WRwVlaWJKlBgwblloeHh7tfu1KjRo3UqFGjcstWrlwpm82m6OhoT+cKAABqOI/CpLi4WJLk5+dXbrm/v7/y8vK+d/3169drw4YNmjZtmsLCwjzZdQW+vt79QJHVain3NwAAN6M6n08sFh+vn2evl0dhUnZLxm63l7s9U1JSooCAgErXc7lcWrRokV5//XU99dRTGjJkyA1O9zKLxUehoYE3tY3KhIRUfhwAAPwYBAXZvn/QLeJRmJTdwsnJyVGTJk3cy3NyctSiRYurrnPp0iVNnTpVKSkpmjp1qoYPH37js/1/TqdL+flFN72dK1mtFoWEBCg/v1gOh9Or2wYA/PiUnVeqo4KCi7p0yeHVbYaEBFzXVSSPwiQqKkpBQUHav3+/O0zy8/OVnp6u+Pj4q64zefJkffjhh5o/f74efPBBT3Z3TaWltyYeHA7nLds2AADVgdPpqrJzoUdh4ufnp/j4eCUlJSksLEyRkZGaN2+eIiIi1KdPHzkcDuXm5io4OFg2m01bt25VamqqJk+erC5duujMmTPubZWNAQAAKOPxky2JiYkaOHCgpk2bpsGDB8tqtWrNmjWqVauWTp8+re7duys1NVWSlJKSIkl67bXX1L1793J/ysYAAACU8XG5XK6qnoSnHA6ncnMLvbpNX1+LQkMDde5cIbdyAAA3rey88uyC3Tp68vs/uWqCZpF1tHBinPLzi1VSUurVbYeFBV7XMybV97NMAACgxiFMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABjDt6onYBqrtXq1mtPpktPpquppAADgFYTJ//Px8ZHT6VJISEBVT8UjDodT588XEScAgBqBMPl/FouPLBYfJb31pTKzL1T1dK5Lo/rBev7xTrJYfAgTAECNQJh8R2b2BR09mVfV0wAA4Eepej1QAQAAajTCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADGIEwAAIAxCBMAAGAMwgQAABiDMAEAAMYgTAAAgDEIEwAAYAzCBAAAGIMwAQAAxiBMAACAMQgTAABgDMIEAAAYgzABAADG8DhMnE6nFi9erNjYWHXo0EEJCQk6ceJEpePPnTun5557TtHR0erSpYtmzpyp4uLim5o0AAComTwOk2XLlmnjxo2aPXu2Nm3aJKfTqZEjR8put191fGJioo4fP6433nhDixYt0p49ezRjxoybnTcAAKiBPAoTu92utWvXKjExUXFxcYqKilJycrKysrK0c+fOCuP/+7//W2lpaXr11VfVunVrxcTEaNasWXrvvfeUnZ3ttYMAAAA1g0dhkpGRocLCQsXExLiXhYSEqFWrVjpw4ECF8V988YXq1aunZs2auZd16dJFPj4++vLLL29i2gAAoCby9WRwVlaWJKlBgwblloeHh7tfu1J2dnaFsX5+fqpbt65Onz7t6VzdLBYfhYUF3vD6V+Pjc/nvGQkxKnU4vbrtW8XXerkr69QJqOKZAAAqUx3PK0FB/goM9Pfqti0Wn+ubgycbLXto1c/Pr9xyf39/5eXlXXX8d8eWjS8pKfFk1+X4+PjIar2+A/RU3WDv/of4IVgsfLgKAEzFecXDfXsy2GazSVKFB11LSkoUEFDx/9ptNttVH4otKSlR7dq1Pdk1AAD4EfAoTMpuy+Tk5JRbnpOTo/r161cYHxERUWGs3W7X+fPnFR4e7ulcAQBADedRmERFRSkoKEj79+93L8vPz1d6erqio6MrjI+OjlZWVpaOHz/uXpaWliZJ6tSp043OGQAA1FAePWPi5+en+Ph4JSUlKSwsTJGRkZo3b54iIiLUp08fORwO5ebmKjg4WDabTe3bt9ddd92lCRMmaMaMGSoqKtL06dPVr1+/q15hAQAAP24+LpfL5ckKDodDCxYs0NatW3Xx4kVFR0dr+vTpatSokTIzM9W7d2+9/PLLGjBggCTp7Nmzmjlzpj799FP5+/urb9++mjp1qvz9q9/DQAAA4NbyOEwAAABuFT5nCgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjVOswadGihbZu3fqD73fJkiXq1avXD75fAAA8derUKf35z3++rrFbt25VixYt3N9XxXm2WocJAAC4tilTpujTTz+9rrEPPPCAPvvss1s8o2vz6EfSAwCAmstms8lms1XpHKr9FZNjx45p+PDhatu2rWJjY7VixYpyr3/88ccaMGCA2rVrp3vvvVcLFy6U3W53v37kyBGNHj1a0dHRatOmjXr37q21a9eW28bbb7+te++9V+3atdOYMWOUl5dX7vU9e/ZowIABat++vWJiYvSb3/ymwhgAAH5oQ4YMUVpamt555x316tVLp06d0oQJExQTE6PWrVurR48emjdvnpxOp6SKt3KuVFxcrBdeeEHdunVT27Zt1a9fP+3cudPrc672YbJhwwb169dPqampGjx4sBYsWKB9+/ZJkj755BM9++yz+vWvf62UlBS9+OKL+uCDDzRp0iRJl9/kJ598UnXr1tWmTZuUkpKivn376tVXX9U333wjSUpJSdGsWbM0fPhwvffee7rrrrv01ltvufefm5urcePG6Ve/+pVSU1O1dOlSHThwQK+99toP/2YAAHCFJUuWqGPHjrr//vu1efNmPfXUU7pw4YLWrVun7du368knn9Tq1av10Ucffe+2Fi1apMOHD2vlypVKTU1Vjx49NGHCBGVmZnp1ztX+Vs5jjz2mfv36SZKefvpprV27Vn/7298UExOj5cuX69e//rUGDRokSWrSpIlmzpypYcOGKTMzU7Vr19bQoUP1+OOPKzAwUJKUmJio1atX6/Dhw2rZsqXWr1+vBx54QI8//rgkadSoUfrqq6+UkZEhScrOzpbdblfDhg0VGRmpyMhILV++XA6H44d/MwAAuELdunVVq1Yt2Ww21a5dWw8//LDuv/9+NWjQQJI0fPhwrVq1SocPH9Y999xzzW19++23CgwMVOPGjRUSEqJnnnlG0dHRqlOnjlfnXO3DpGnTpuW+DwkJUUlJiSQpPT1dBw8e1ObNm92vl/3OwqNHj+ruu+/WY489ppSUFKWnp+vbb791B0fZZa0jR47owQcfLLePjh07use1bNlSDz30kMaMGaN69eqpW7duiouL07333ntLjhcAgBths9kUHx+v7du36+DBgzp+/LgOHz6sf/3rX+5z3rUkJCRozJgxiomJUbt27dStWzf98pe/VHBwsFfnWe3DxGq1VlhWFh9Op1MjR45U//79K4ypV6+ezpw5o0cffVRhYWHq1auXunfvrrZt2+ruu+8uN/a7/8Fq1apV7vv58+dr7Nix+uSTT/T5559r0qRJ6tSpk/7whz/c7OEBAOAVRUVFio+P18WLF9W3b1/1799f7dq1c98R+D4dO3bUnj17tHfvXu3bt0/vvvuuXn/9da1evVoxMTFem2e1D5Nr+dnPfqZjx47p9ttvdy/bv3+/3nzzTc2YMUMpKSk6f/68duzY4Y6Nw4cPS/p33LRs2VJ//etfNXz4cPc2Dh065P7666+/1p///Gf99re/1Z133qnhw4dr27ZtmjRpks6ePavbbrvtBzhSAACu7bPPPtPf//537d27Vz/5yU8kSefPn9fZs2fd57xrWbx4sTp16qTevXurd+/emjp1qh588EHt2LHDq2FS7R9+vZaEhATt2LFDS5cu1bFjx7Rv3z5NnTpVFy5cUL169RQREaHi4mJt375dp06d0meffaaJEydKkvuTO6NGjdKHH36o1atX63//93+1fv167dixw72PoKAgbdy4UfPmzdPx48d15MgRpaamqmnTpgoNDa2S4wYAoExgYKBOnjzpPidt27ZNJ0+e1BdffKGnn35aly5dKvdp1cqcOHFCL774ovbt26eTJ09qx44dOnXqlDp27OjV+dboKyZ9+/ZVcnKyVqxYoeXLl6tu3brq1auXnn/+effrf//73/XKK6+ooKBAkZGReuSRR/SXv/xFhw4d0uDBgxUXF6f58+dryZIlWrRokTp06KAnn3xSKSkpkqRmzZppyZIlWrp0qTZu3CiLxaKf//znWrVqlSyWGt19AIBqYNCgQZoyZYrGjh2rKVOm6M0339TChQtVv359PfDAA2rQoEG5OwGVefHFF/Xqq69q0qRJOn/+vCIjI/X888/r4Ycf9up8fVzXc/0GAADgB8D/0gMAAGMQJgAAwBiECQAAMAZhAgAAjEGYAAAAYxAmAADAGIQJAAAwBmECAACMQZgAAABjECYAAMAYhAkAADAGYQIAAIzxf4UkxLhrucrEAAAAAElFTkSuQmCC", + "image/png": 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", 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" ] @@ -575,7 +577,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.182216Z", @@ -585,7 +587,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -620,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.553350Z", @@ -630,7 +632,7 @@ "outputs": [ { "data": { - "image/png": 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nTp2S3+/XyJEj1bt378AjISGhYx0BAICIFdIZl/Lycl2+fFnZ2dmBMbfbrczMTB0+fFhTpkxpc8wHH3ygcePGKTc3V/fdd1+b7RUVFbr55pt10003daD8a4uJ6dzbdxwOe9DHaBTtaxDt/UvWr0E0rz3MEqmfq1a/BkghBpeqqipJUt++fYPGk5OTA9u+a+HChX9xzoqKCnXv3l15eXk6duyYevbsqenTp2vmzJmy2zu2MHa7TT179ujQsdfjdseFZV6TRPsaRHv/EmsAXE+kf41Y2V9IwaWhoUGS2tzLEhsbq7q6ug4VcPLkSXk8Hv34xz9Wbm6ujh49qsLCQtXV1WnBggUdmtPvb5HHU9+hY6/F4bDL7Y6Tx9Mgn8/fqXObItrXINr7l6xfg9bnB250kfo6Ec7XALc7rl1nckIKLq03zHq93qCbZ5uamhQX17EXk61bt6qpqSlwT0t6erouXbqkzZs367HHHuvwWZfm5vB8wvh8/rDNbYpoX4No719iDYDrifSvESv7CykVtF4iqqmpCRqvqalRnz59OlSA0+lscyPuoEGDVF9f3+GzOAAAIDKFFFwyMjIUHx+v0tLSwJjH41FZWZmysrJCfvKWlhbdc8892rRpU9D4p59+qt69e6tnz54hzwkAACJXSJeKnE6nZsyYoaKiIiUlJalfv34qLCxUSkqKJk2aJJ/Pp9raWiUkJLTrfVhsNpt+9KMfqaSkRLfeequGDBmiAwcO6JVXXtGyZcs63BQAAIhMIb8BXV5enpqbm7V8+XI1NjYqKytLJSUl6tatmyorKzVx4kStXr1a06ZNa9d8ixYtUnx8vNatW6eqqiqlpqZq2bJlevDBB0NuBgAARLaQg4vD4VB+fr7y8/PbbEtNTVVFRcU1j/3973/ftoCYGOXm5io3NzfUUgAAQJSJzHfIAQAAEYngAgAAjEFwAQAAxiC4AAAAYxBcAACAMQguAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGMQXAAAgDEILgAAwBgEFwAAYAyCCwAAMAbBBQAAGIPgAgAAjEFwAQAAxiC4AAAAYxBcAACAMQguAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABgjxuoCAACINA5HZJ4XuBH6IrgAANBJEhNi5fe3yO2Os7qUsPH7W2Sz2Sx7foILAACdJD6um+x2m4p2HFVl9UWry+l0qX0S9MRDt8tuJ7gAABAxKqsv6vQXdVaXEZGsv1gFAADQTgQXAABgDIILAAAwBsEFAAAYg+ACAACMEXJw8fv92rBhg8aNG6cRI0Zo7ty5Onv2bLuOy8nJ0caNG9tse++99zR58mQNGzZMU6dO1YEDB0ItCwAARIGQg0txcbF27typlStX6o033ggEEq/Xe81jvF6v/u3f/k0ffvhhm20HDx5Ufn6+/vEf/1G//e1vlZ2drXnz5un06dOhlgYAACJcSMHF6/Vq27ZtysvL04QJE5SRkaH169erqqpK+/fvv+oxx44d07Rp03TkyBG53e4227du3ap77rlHM2fOVFpampYsWaLBgwfrl7/8Zcc6AgAAESukN6ArLy/X5cuXlZ2dHRhzu93KzMzU4cOHNWXKlDbHfPDBBxo3bpxyc3N13333BW3z+/06duyYli5dGjQ+duzYawah9oqJ6dzbd1r/PsON8HcarBLtaxDt/UvWr0E0rz1wI7HbbZ3+fba9QgouVVVVkqS+ffsGjScnJwe2fdfChQuvOZ/H41F9fb1SUlLaPV972O029ezZo8PH/yWR/Pcn2iva1yDa+5dYAyDaxce7LHvukIJLQ0ODJMnpdAaNx8bGqq4u9Lc2bmxsvOZ8TU1NIc/Xyu9vkcdT3+Hjr8bhsMvtjpPH0yCfz9+pc5si2tcg2vuXrF+D1ucHYK1Llxp15YqvU+d0u+PadVY1pODicn2TsLxeb+C/JampqUlxcaG/mMTGxgbm+7aOzvdtzc3heVH1+fxhm9sU0b4G0d6/xBoA0c7vb7HsNSCkC1Stl4hqamqCxmtqatSnT5+QnzwxMVHdu3fvtPkAAEBkCym4ZGRkKD4+XqWlpYExj8ejsrIyZWVlhfzkNptNo0aN0qFDh4LGS0tLNXr06JDnAwAAkS2kS0VOp1MzZsxQUVGRkpKS1K9fPxUWFiolJUWTJk2Sz+dTbW2tEhISgi4l/SWzZ8/WvHnzlJmZqfHjx2vXrl06fvy4Vq1a1aGGAABA5Ar5d5ny8vL0wAMPaPny5frpT38qh8OhkpISdevWTefOndNdd92lffv2tXu+u+66S88++6z+8z//U/fff78OHjyol156SWlpaaGWBgAAIlxIZ1wkyeFwKD8/X/n5+W22paamqqKi4prH/v73v7/q+NSpUzV16tRQSwEAAFGGd3MCAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGMQXAAAgDFC/ltFAG5sdrtNdrstLHM7HPagj13NqucFcOMguAARxG63KTGxe9i/wbvdcWGdHwCuheACRBC73SaHw66iHUdVWX3R6nI63aiMZM2cnGl1GQAsRHABIlBl9UWd/qLO6jI6XWpyvNUlALAYF4wBAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGMQXAAAgDEILgAAwBgEFwAAYAyCCwAAMAbBBQAAGIPgAgAAjEFwAQAAxiC4AAAAYxBcAACAMQguAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGMQXAAAgDEILgAAwBgEFwAAYIyQg4vf79eGDRs0btw4jRgxQnPnztXZs2evuf+FCxe0aNEiZWVlacyYMXrmmWfU0NAQtM+kSZOUnp4e9Fi6dGno3QAAgIgWE+oBxcXF2rlzp5577jmlpKSosLBQOTk5euedd+R0Otvsn5eXp4aGBm3fvl0ej0fLli1TfX29nn/+eUlSfX29zp49q5dfflmDBw8OHOdyub5HWwAAIBKFdMbF6/Vq27ZtysvL04QJE5SRkaH169erqqpK+/fvb7P/xx9/rEOHDun555/X4MGDlZ2drRUrVuitt95SdXW1JOnUqVPy+/0aOXKkevfuHXgkJCR0TocAACBihBRcysvLdfnyZWVnZwfG3G63MjMzdfjw4Tb7HzlyRL1791ZaWlpgbMyYMbLZbDp69KgkqaKiQjfffLNuuummjvYAAACiREiXiqqqqiRJffv2DRpPTk4ObPu26urqNvs6nU4lJibq3Llzkr4JLt27d1deXp6OHTumnj17avr06Zo5c6bs9o7fOxwT07n3HTsc9qCP0Sja18CE/m/k2gBEDrvd1unfZ9srpODSelPtd+9liY2NVV1d3VX3v9p9L7GxsWpqapIknTx5Uh6PRz/+8Y+Vm5uro0ePqrCwUHV1dVqwYEEo5QXY7Tb17NmjQ8dej9sdF5Z5TRLtaxDt/QNAfLx196GGFFxab5j1er1BN882NTUpLq7ti7nL5ZLX620z3tTUpO7du0uStm7dqqampsA9Lenp6bp06ZI2b96sxx57rENnXfz+Fnk89SEf95c4HHa53XHyeBrk8/k7dW5TRPsamNB/a40AEE6XLjXqyhVfp87pdse166xxSMGl9bJPTU2N+vfvHxivqalRenp6m/1TUlL0/vvvB415vV59/fXXSk5OlvTN2ZvvnpUZNGiQ6uvrVVdXp549e4ZSYkBzc3i+sfh8/rDNbYpoX4No7x8A/P4Wy14HQzqdkZGRofj4eJWWlgbGPB6PysrKlJWV1Wb/rKwsVVVV6fPPPw+MHTp0SJJ0++23q6WlRffcc482bdoUdNynn36q3r17dzi0AACAyBTSGRen06kZM2aoqKhISUlJ6tevnwoLC5WSkqJJkybJ5/OptrZWCQkJcrlcGj58uEaNGqWFCxfq6aefVn19vZ588klNnTpVffr0kST96Ec/UklJiW699VYNGTJEBw4c0CuvvKJly5aFpWEAAGCukN+ALi8vT83NzVq+fLkaGxuVlZWlkpISdevWTZWVlZo4caJWr16tadOmyWazadOmTXrmmWf0yCOPKDY2Vvfee68KCgoC8y1atEjx8fFat26dqqqqlJqaqmXLlunBBx/s1EYBAID5Qg4uDodD+fn5ys/Pb7MtNTVVFRUVQWO9evXShg0brl1ATIxyc3OVm5sbaikAACDK8KYPAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMaIsboAoCvZ7TbZ7bYOHetw2IM+3ohu5NoAoDMQXBA17HabEhO7f+9v7m53XCdVBAAIFcEFUcNut8nhsKtox1FVVl+0upywGJWRrJmTM60uAwDChuCCqFNZfVGnv6izuoywSE2Ot7oEAAgrLogDAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGMQXAAAgDEILgAAwBgEFwAAYAyCCwAAMAbBBQAAGIPgAgAAjEFwAQAAxiC4AAAAYxBcAACAMQguAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYIObj4/X5t2LBB48aN04gRIzR37lydPXv2mvtfuHBBixYtUlZWlsaMGaNnnnlGDQ0NQfu89957mjx5soYNG6apU6fqwIEDoXeCTmG32xQTY7/qw+H45tPF4bj69hv90Vo/AMBcMaEeUFxcrJ07d+q5555TSkqKCgsLlZOTo3feeUdOp7PN/nl5eWpoaND27dvl8Xi0bNky1dfX6/nnn5ckHTx4UPn5+Vq8eLHuvPNO/eY3v9G8efO0Z88epaWlff8O0W52u02Jid2v+w3e7Y7roooAAAgWUnDxer3atm2bnnjiCU2YMEGStH79eo0bN0779+/XlClTgvb/+OOPdejQIe3bty8QQlasWKGcnBw9/vjj6tOnj7Zu3ap77rlHM2fOlCQtWbJEH3/8sX75y19qxYoVndAi2stut8nhsKtox1FVVl+0upxONyojWTMnZ1pdBgDgewgpuJSXl+vy5cvKzs4OjLndbmVmZurw4cNtgsuRI0fUu3fvoDMnY8aMkc1m09GjR3Xvvffq2LFjWrp0adBxY8eO1f79+zvST9hF8uWG1t4qqy/q9Bd1FlfT+VKT460uAQDwPYUUXKqqqiRJffv2DRpPTk4ObPu26urqNvs6nU4lJibq3Llz8ng8qq+vV0pKSrvmay+73aakpB4dPv5qbDappaUlKi6TPD03W80+v9VldLpYp0NS5PYnRX6P9Ge+SO8x0vuL+f8/4MbHx6pHj9hOndtut7WvhlAmbb2p9rv3ssTGxqquru1P6A0NDVe97yU2NlZNTU1qbGy85nxNTU2hlBbEZrPJ4WjfAqCtxITO/WS80UR6f1Lk90h/5ov0HiO9P7vduqsPIT2zy+WS9M29Lt/W1NSkuLi2ZyJcLlebfVv37969u2JjY0OaDwAARLeQgkvrZZ+ampqg8ZqaGvXp06fN/ikpKW329Xq9+vrrr5WcnKzExER179693fMBAIDoFlJwycjIUHx8vEpLSwNjHo9HZWVlysrKarN/VlaWqqqq9PnnnwfGDh06JEm6/fbbZbPZNGrUqMBYq9LSUo0ePTqkRgAAQOQL6R4Xp9OpGTNmqKioSElJSerXr58KCwuVkpKiSZMmyefzqba2VgkJCXK5XBo+fLhGjRqlhQsX6umnn1Z9fb2efPJJTZ06NXBGZfbs2Zo3b54yMzM1fvx47dq1S8ePH9eqVavC0jAAADCXraWlpSWUA3w+n9atW6fdu3ersbFRWVlZevLJJ5WamqrKykpNnDhRq1ev1rRp0yRJ58+f1zPPPKMPP/xQsbGxuvfee1VQUBC4v0WS9uzZo+LiYlVVVWngwIHKz88P+pVrAAAAqQPBBQAAwCqR+25qAAAg4hBcAACAMQguAADAGAQXAABgDIILAAAwBsEFAAAYg+ACAACMQXBph/Pnzys/P1933HGHRo4cqXnz5un06dNWl2WJzz77TCNHjtTu3butLqVLVVdXKz09vc0jmtZhz549mjx5soYOHaq/+7u/03vvvWd1SV2mtLT0qv/+6enpmjhxotXldYnm5ma9+OKL+uEPf6iRI0fqoYce0h/+8Aery+oyly5d0lNPPaW77rpLY8aM0RNPPKHz589bXVaXefnll/Xwww8HjR0/flwzZszQiBEjdPfdd+s//uM/uqQWgks75Obm6vPPP9eWLVv0m9/8Ri6XS7NmzVJDQ4PVpXWpK1eu6IknnlB9fb3VpXS58vJyxcbG6sMPP9RHH30UeEyePNnq0rrEW2+9pWXLlumhhx7Su+++qylTpujxxx/Xxx9/bHVpXWLkyJFB/+4fffSRNm3aJJvNpkcffdTq8rrE5s2b9etf/1orV67Unj17dMsttygnJ6fNH8mNVAsWLNAHH3ygVatWaceOHWpoaNDMmTPl9XqtLi3sduzYoRdeeCFo7MKFC5o9e7b69++vXbt2KTc3V0VFRdq1a1fY6yG4XEddXZ369eunn//85xo2bJjS0tL06KOPqqamRidPnrS6vC61ceNGxcfHW12GJU6cOKEf/OAHSk5OVu/evQMPl8tldWlh19LSohdffFEzZ87UQw89pP79+2v+/Pn6m7/5mzZ/IDVSOZ3OoH/3Hj16aPXq1br//vs1ffp0q8vrEu+//76mTJmiu+66SwMGDNDSpUt18eLFqDjrcvz4cX300UdasWKF/vZv/1a33Xab1qxZo5qaGr377rtWlxc21dXV+pd/+RcVFRXpBz/4QdC2X/3qV+rWrZtWrFihtLQ0TZ8+XbNmzdKWLVvCXhfB5TpuuukmrV27VoMGDZIk1dbWavv27UpJSdHAgQMtrq7rHD58WG+++aaee+45q0uxREVFhdLS0qwuwxKfffaZvvjiC/3kJz8JGi8pKdE///M/W1SVtV566SU1NDRoyZIlVpfSZXr16qX/+q//UmVlpXw+n9588005nU5lZGRYXVrYnTlzRpI0evTowFiPHj00YMCAiA7vf/zjH9WtWze9/fbbGj58eNC2I0eOaMyYMYqJ+b+/1XzHHXfozJkz+vOf/xzWukL669DR7t///d/1q1/9Sk6nU5s3b1b37t2tLqlLeDweLV68WMuXL1ffvn2tLscSJ06cUM+ePfXQQw/ps88+04ABAzR//nyNHz/e6tLC7rPPPpMk1dfXa86cOSorK1Nqaqrmz5+vu+++2+Lqul7rDy+LFi1SYmKi1eV0mWXLlmnBggWaOHGiHA6H7Ha7Nm7cqP79+1tdWtglJydLks6dOxf4Acbn86mqqkq9evWysrSwuvvuu6/5NV5VVRX4gb7Vt9fp5ptvDltdnHEJwSOPPKJdu3ZpypQpys3N1R//+EerS+oSTz/9tEaOHNnmJ+5o0dzcrD/96U+qq6vTY489pi1btmjEiBGaN2+eDhw4YHV5YXfp0iVJ0pIlSzRlyhRt27ZNd955px599NGo6P+7du7cqYSEBP3DP/yD1aV0qVOnTikhIUG/+MUv9Oabb2ratGl64okndPz4catLC7uhQ4fq1ltv1VNPPaXq6mo1NjZq7dq1unDhgq5cuWJ1eZZobGyU0+kMGouNjZUkNTU1hfW5OeMSgtZLQ6tWrdInn3yi119/XatXr7a4qvDas2ePjhw5onfeecfqUiwTExOj0tJSORyOwD0tQ4YM0cmTJ1VSUqLs7GyLKwyvbt26SZLmzJmj+++/X5L013/91yorK9Orr74a8f1/1549ezR16tSouL+p1blz57Ro0SJt3749cLlk6NChOnXqlDZu3Kji4mKLKwwvp9OpTZs2afHixRo/fry6deumn/zkJ/rhD38ouz06f/53uVxtbkxuDSzhvhoRnSsegtraWr377rtqbm4OjNntdg0cODAq7qbftWuXzp8/rwkTJmjkyJEaOXKkJOmpp55STk6OxdV1nR49erT5RnXbbbepurraooq6Tp8+fSSpzWnhgQMHqrKy0oqSLFNeXq6zZ89G3dnHTz75RFeuXNHQoUODxocPH67PP//coqq6Vlpamnbt2qXS0lIdPHhQq1evVlVVVVRcKrualJSUNt8DW/+/9TUjXAgu1/HnP/9Zjz/+eNAp8StXrqisrCwqbtYsKirSvn37tGfPnsBDkvLy8rRq1Spri+siJ0+e1KhRo1RaWho0/j//8z9RcYP24MGD1aNHD33yySdB4ydOnIi6F+0jR46oV69eUXFD6relpKRI+uYm9W9r/W27SHfp0iXNmDFD5eXlSkxMVHx8vCorK1VWVqY777zT6vIskZWVpaNHj8rn8wXGDh48qFtuuSXs9/0QXK5j0KBBGj9+vH7+85/r8OHDOnHihJYuXSqPx6NZs2ZZXV7Y9enTRwMGDAh6SN/8hkG4U/WNIi0tTbfeeqtWrFihI0eO6PTp01q9erX+8Ic/aP78+VaXF3Yul0s5OTn6xS9+ob179+p///d/tXnzZv33f/+3Zs+ebXV5XaqsrEzp6elWl9Hlhg0bpttvv11LlizRwYMHdebMGb3wwgs6cOCA5s2bZ3V5YRcfH6+WlhatWrVKJ0+e1Keffqr58+frjjvuiLpLpa2mT5+uS5cuadmyZTp16pR2796t7du3d8lvGnKPSzusW7dOa9eu1cKFC3Xx4kWNHj1aO3bs0F/91V9ZXRq6gN1u10svvaS1a9fqX//1X+XxeJSZmalXX321zeWTSPXoo48qLi5O69evV3V1tdLS0rRx40aNHTvW6tK61FdffRVVv0nUym63a/PmzXrhhRdUUFCguro6DRo0SNu3b2/za7KRat26dVq5cqV++tOfyul0atKkScrPz7e6LMv06tVLr7zyilatWqX7779fvXv31uLFiwP3wYWTraWlpSXszwIAANAJuFQEAACMQXABAADGILgAAABjEFwAAIAxCC4AAMAYBBcAAGAMggsAADAGwQUAABiD4AIAAIxBcAEAAMYguAAAAGP8P6KkBUChelQAAAAAAElFTkSuQmCC", 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", "text/plain": [ "
" ] @@ -669,7 +671,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.558869Z", @@ -705,7 +707,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.573144Z", @@ -717,12 +719,12 @@ "data": { "text/plain": [ "{'cough': False,\n", - " 'fever': True,\n", + " 'fever': False,\n", " 'chest_pain': False,\n", " 'shortness_of_breath': False}" ] }, - "execution_count": 16, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -800,7 +802,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.580210Z", @@ -811,10 +813,10 @@ { "data": { "text/plain": [ - "[tensor(1.), tensor(1.)]" + "[tensor(0.), tensor(1.)]" ] }, - "execution_count": 17, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -837,7 +839,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.738946Z", @@ -847,7 +849,7 @@ "outputs": [ { "data": { - "image/png": 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kNLqP1+vVE088oQ8++EBXX311yLaamhqVlZVp2bJl6t27d3A8KSnJamkAAADNYukMkNfr1cqVK+VyuTR48GBlZ2dr/vz5qqio0KZNmxrdZ/fu3Ro9erQ++ugjpaamNti+b98++f1+9e/fX126dAl+paSkhHdEAAAA52EpAO3du1cnT56U0+kMjqWmpqpXr17auXNno/ts2bJFubm5WrduXaOhprS0VJdeeqk6duxosXQAAIDwWLoEVlFRIUnq1q1byHjXrl2D2841ZcqU71yztLRU7du3l8vl0u7du9W5c2fdeeedGjdunOz28O/RjouL7P3ddrstoutdbA4H97u3pFh+fmO59lgQy89vLNceC2L5+bXbbRF/n73YLAWg2tpaSWpwr09iYqKqq6vDKuCLL76Q2+3WzTffrMmTJ2vXrl0qKipSdXW1HnroobDWtNtt6ty5Q1j7tlWpqe2iXQJaKXoDTaE30JTk5Ni/T9dSADpzY7LX6w25Sdnj8ahdu/B+UFasWCGPxxO8PJaVlaUTJ05o6dKlevDBB8M6C+T3B+R214RVT1Pi4x0x/YK73bXy+fzRLqPNcjjsMftmQW+0LHoDTYnl3jhxok6nTvkiumZqaruLelbMUgA6c+mrsrJSl112WXC8srJSWVlZYRWQkJDQ4IxSz549VVNTo+rqanXu3DmsdevrI/tDG8unKiXJ5/NH/DlB20BvoCn0Bpri9wdivjcsvatnZ2crOTlZ27dvD4653W6VlJQoJyfH8oMHAgENGzZMixcvDhnfs2ePunTpEnb4AQAA+C6WzgAlJCRo7NixmjdvntLS0tS9e3cVFRUpIyNDw4cPl8/nU1VVlVJSUpr1OT42m0033XSTiouLdcUVV6hPnz7aunWrXnzxRU2fPj3sgwIAAPgulj8I0eVyqb6+XoWFhaqrq1NOTo6Ki4sVHx+v8vJyDR06VLNnz9bo0aObtd7UqVOVnJys5557ThUVFcrMzNT06dN11113WT4YAACA5rAcgBwOh/Lz85Wfn99gW2ZmpkpLS5vcd/PmzQ0LiIvT5MmTNXnyZKulAAAAhCW27+wFAAAIAwEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMYzkA+f1+LVy4ULm5uerXr58mTpyosrKyZu2Xl5enRYsWNdj27rvvasSIEerbt69GjRqlrVu3Wi0LAACg2SwHoCVLlmj16tWaOXOm1qxZEww2Xq+3yX28Xq9++ctf6oMPPmiwbdu2bcrPz9fdd9+tt956S06nU5MmTdL+/futlgYAANAslgKQ1+vVypUr5XK5NHjwYGVnZ2v+/PmqqKjQpk2bGt1n9+7dGj16tD766COlpqY22L5ixQoNGzZM48aNU48ePfTYY4+pd+/eevnll8M7IgAAgPOwFID27t2rkydPyul0BsdSU1PVq1cv7dy5s9F9tmzZotzcXK1bt04pKSkh2/x+v3bv3h2yniRde+21Ta4HAABwoeKsTK6oqJAkdevWLWS8a9euwW3nmjJlSpPrud1u1dTUKCMjo9nrNVdcXGTv77bbbRFd72JzOLjfvSXF8vMby7XHglh+fmO59lgQy8+v3W6L+PvsxWYpANXW1kqSEhISQsYTExNVXV1t+cHr6uqaXM/j8Vhe7wy73abOnTuEvX9blJraLtoloJWiN9AUegNNSU5OinYJF8xSAEpKOn3AXq83+L0keTwetWtn/QclMTExuN7Zwl3vDL8/ILe7Juz9GxMf74jpF9ztrpXP5492GW2Ww2GP2TcLeqNl0RtoSiz3xokTdTp1yhfRNVNT213Us2KWAtCZS1+VlZW67LLLguOVlZXKysqy/OCdOnVS+/btVVlZGTJeWVmp9PR0y+udrb4+sj+0sXyqUpJ8Pn/EnxO0DfQGmkJvoCl+fyDme8PSu3p2draSk5O1ffv24Jjb7VZJSYlycnIsP7jNZtOAAQO0Y8eOkPHt27frmmuusbweAABAc1g6A5SQkKCxY8dq3rx5SktLU/fu3VVUVKSMjAwNHz5cPp9PVVVVSklJCblE9l0mTJigSZMmqVevXrrxxhv15ptv6rPPPtMzzzwT1gEBAACcj+XrOi6XS2PGjFFhYaF+8pOfyOFwqLi4WPHx8Tp8+LBuuOEGbdiwodnr3XDDDZo1a5Z+97vf6Y477tC2bdv0wgsvqEePHlZLAwAAaBZLZ4AkyeFwKD8/X/n5+Q22ZWZmqrS0tMl9N2/e3Oj4qFGjNGrUKKulAAAAhCW27+wFAAAIAwEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGsRyA/H6/Fi5cqNzcXPXr108TJ05UWVlZk/O//fZbTZ06VTk5ORo0aJBmzJih2trakDnDhw9XVlZWyNe0adOsHw0AAEAzxFndYcmSJVq9erWeffZZZWRkqKioSHl5eVq/fr0SEhIazHe5XKqtrdVLL70kt9ut6dOnq6amRnPmzJEk1dTUqKysTMuWLVPv3r2D+yUlJV3AYQEAADTN0hkgr9erlStXyuVyafDgwcrOztb8+fNVUVGhTZs2NZj/8ccfa8eOHZozZ4569+4tp9Opp59+Wm+//baOHDkiSdq3b5/8fr/69++vLl26BL9SUlIic4QAAADnsHQGaO/evTp58qScTmdwLDU1Vb169dLOnTs1cuTIkPkfffSRunTpoh49egTHBg0aJJvNpl27dmnEiBEqLS3VpZdeqo4dO17goYSKi4vs7U12uy2i611sDge3e7WkWH5+Y7n2WBDLz28s1x4LYvn5tdttEX+fvdgsBaCKigpJUrdu3ULGu3btGtx2tiNHjjSYm5CQoE6dOunw4cOSpNLSUrVv314ul0u7d+9W586ddeedd2rcuHGy28N7cu12mzp37hDWvm1Vamq7aJeAVoreQFPoDTQlOTn2b1OxFIDO3Lx87r0+iYmJqq6ubnR+Y/cFJSYmyuPxSJK++OILud1u3XzzzZo8ebJ27dqloqIiVVdX66GHHrJSXpDfH5DbXRPWvk2Jj3fE9AvudtfK5/NHu4w2y+Gwx+ybBb3RsugNNCWWe+PEiTqdOuWL6Jqpqe0u6lkxSwHozI3JXq835CZlj8ejdu0avohJSUnyer0Nxj0ej9q3by9JWrFihTweT/Cen6ysLJ04cUJLly7Vgw8+GPZZoPr6yP7QxvKpSkny+fwRf07QNtAbaAq9gab4/YGY7w1L7+pnLmdVVlaGjFdWVio9Pb3B/IyMjAZzvV6vjh07pq5du0o6fTbp3Buee/bsqZqamkbPKgEAAFwoSwEoOztbycnJ2r59e3DM7XarpKREOTk5Debn5OSooqJCX331VXBsx44dkqSBAwcqEAho2LBhWrx4cch+e/bsUZcuXdS5c2dLBwMAANAcli6BJSQkaOzYsZo3b57S0tLUvXt3FRUVKSMjQ8OHD5fP51NVVZVSUlKUlJSkq6++WgMGDNCUKVP01FNPqaamRk888YRGjRoVPGN00003qbi4WFdccYX69OmjrVu36sUXX9T06dNb5IABAAAsfxCiy+VSfX29CgsLVVdXp5ycHBUXFys+Pl7l5eUaOnSoZs+erdGjR8tms2nx4sWaMWOGfvaznykxMVG33HKLCgoKgutNnTpVycnJeu6551RRUaHMzExNnz5dd911V0QPFAAA4AzLAcjhcCg/P1/5+fkNtmVmZqq0tDRk7JJLLtHChQubLiAuTpMnT9bkyZOtlgIAABCW2P7VJgAAgDAQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDiWA5Df79fChQuVm5urfv36aeLEiSorK2ty/rfffqupU6cqJydHgwYN0owZM1RbWxsy591339WIESPUt29fjRo1Slu3brV+JAAAAM1kOQAtWbJEq1ev1syZM7VmzRr5/X7l5eXJ6/U2Ot/lcumrr77SSy+9pAULFmjLli166qmngtu3bdum/Px83X333XrrrbfkdDo1adIk7d+/P+yDAgAA+C6WApDX69XKlSvlcrk0ePBgZWdna/78+aqoqNCmTZsazP/444+1Y8cOzZkzR71795bT6dTTTz+tt99+W0eOHJEkrVixQsOGDdO4cePUo0cPPfbYY+rdu7defvnlyBwhAADAOSwFoL179+rkyZNyOp3BsdTUVPXq1Us7d+5sMP+jjz5Sly5d1KNHj+DYoEGDZLPZtGvXLvn9fu3evTtkPUm69tprG10PAAAgEuKsTK6oqJAkdevWLWS8a9euwW1nO3LkSIO5CQkJ6tSpkw4fPiy3262amhplZGQ0a73mstttSkvrEPb+jbHZTv/3qYlO1fv8EV27JcU5Tmfcjh3bRbkSM8RSf9AbFxe9gabEYm8kJyeqQ4fEiK5tt9siut75WApAZ25eTkhICBlPTExUdXV1o/PPnXtmvsfjUV1dXZPreTweK6WFsNlscjha5onslBLZF/xisdv5hb+LIRb7g964OOgNNIXeiA5LR5CUlCRJDW549ng8ateu4d8UkpKSGr052uPxqH379kpMTLS0HgAAQCRYCkBnLmdVVlaGjFdWVio9Pb3B/IyMjAZzvV6vjh07pq5du6pTp05q3759s9cDAACIBEsBKDs7W8nJydq+fXtwzO12q6SkRDk5OQ3m5+TkqKKiQl999VVwbMeOHZKkgQMHymazacCAAcGxM7Zv365rrrnG0oEAAAA0l6V7gBISEjR27FjNmzdPaWlp6t69u4qKipSRkaHhw4fL5/OpqqpKKSkpSkpK0tVXX60BAwZoypQpeuqpp1RTU6MnnnhCo0aNCp7hmTBhgiZNmqRevXrpxhtv1JtvvqnPPvtMzzzzTIscMAAAgC0QCASs7ODz+fTcc89p7dq1qqurU05Ojp544gllZmaqvLxcQ4cO1ezZszV69GhJ0tGjRzVjxgx98MEHSkxM1C233KKCgoLg/T+StG7dOi1ZskQVFRW68sorlZ+f3+BX4wEAACLFcgACAACIdbH/e2wAAAAWEYAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIwT1QBUX1+vMWPG6L//+78lSffee6+ysrIa/ZozZ06z1ty+fbuysrJUXl7ekqWHaI11v//++3rggQcislasawt9NmTIkCZrzsrK0r333ttij00vNe7svpo2bdp3vj5ZWVlRrXXRokVN1nXmQ2ubIysrS2vXro1ITUeOHNGtt96qEydORGS9tipW+iyatYXbS5b+KYxIKy4u1pVXXqk+ffoEx2699VZNnz69wdzW/q/Dt7a6hw0bppdfflnr16/Xj370o6jU0Fq0hT5744035PP5JEkff/yxHnzwQb3++uvBf6A4Pj6+xR6bXmrc2X01ffp0TZ06Nbjthhtu0C9/+UuNGDEiihWGysjI0BtvvNFgPC4uOm8D6enpGjFihObMmaOZM2dGpYZYECt9Fs3awu2lqAWg48ePa/ny5VqzZk3IeFJSkrp06RKlqsLXGuu+77779Ktf/UojRoyQw+GIdjlR0Vb6LC0tLfh9x44dg2MX6xjopVDn9lVKSopSUlJC5qSkpLSqHnM4HK2qHun02dgbb7xReXl5uvzyy6NdTqsTS30W7drC6aWoXQL7/e9/r4yMDF111VWW9quurlZhYaFyc3PVu3dvOZ1OFRYWqra2ttH5Bw4c0P3336+BAweqf//+uv/++1VaWhrcfvz4cT3++OO67rrrNHDgQI0bN0579uy5oGNrLXXfcMMNOn78uDZt2hTx44kVJvXZtGnT5HK5dN9992nAgAFasWKFFi1apCFDhoTMO3eMXrIunL5au3atbrrpJv3qV7/SwIED9cADDzR6KfXcsUAgoBUrVmjo0KG6+uqrdfvtt+uPf/xjxI/J7/dr2bJluvnmm9WnTx8NGDBAeXl5OnjwYKPza2trNX36dF1//fX6wQ9+oFGjRoX0R3Pq7tSpk5xOp1566aWIH09b0Nb6rCVrC6eXohaA3n//ff3zP/+z5f2mTZumkpISLV68WBs3blRBQYHWrVun3//+943O//d//3elp6frzTff1Ouvvy673a5f/OIXkk4/qRMnTlRZWZmWLVumP/zhD+rXr59+8pOfqKSk5IKOrzXUHR8fr+uvv15//vOfI3osscS0Ptu4caN++MMf6s0339TIkSPPO59eCk+4fXXw4EFVVlZq3bp1mjJlSrP2mT9/vn73u9/p8ccf1/r16zVu3Dg99dRTeu211yw//nd55ZVXVFxcrGnTpmnjxo16/vnndeDAAT377LONzl+wYIFKS0u1fPlybdiwQTfeeKOmTJkSfNNqbt2DBw/W5s2bI3osbUVb7LOWrM1qL0XlEpjf79eePXt09913N9i2fv16bdy4MWRs4MCBevHFFyVJ119/vXJycoI3VGVmZurVV1/V559/3uhjHTx4UD/84Q/VvXt3xcfHa9asWfryyy/l9/u1fft2/dd//Ze2bdumTp06STr9RrZ792698sorTf7gN6a11n3VVVdF7KbFWNMW++x8OnbsqLy8vGbP37ZtG71k0Xf1VXM88MAD+t73vifp9N90v0tNTY1eeuklPffccxo8eLAk6bLLLtPXX3+t4uJi3XPPPc1+3EOHDql///4Nxj/++OPgunPmzNG//Mu/SJK6d++uW265Re+9916j6x08eFAdOnTQ9773PaWmpuqhhx5STk6OOnbsaKnuq666ShUVFTp8+HDwnjbEbp9FszarvRSVAHTs2DHV19frkksuabBtyJAheuSRR0LGkpKSgt//9Kc/1ebNm/XWW2/pwIED2rdvn8rLy3XFFVc0+lhTpkzRrFmztHr1ag0aNEi5ubkaOXKk7Ha7Pv30UwUCgeAP/Bler1cej8fSMbXWutPS0vQ///M/lo6lrWiLfXY+Vu+joJes+66+ao5//Md/bPbcffv2yePxaOrUqbLb//+EfX19vbxer+rq6kL69rt07dpVq1atanL7kCFD9Mknn2jBggX6+9//rr///e/at2+f0tPTG50/ceJE/du//ZucTqf69u2r66+/Xj/60Y+UkpKiv/3tb82u+8z9bd988w0B6Cyx2mfRrM1qL0UlANlsNkmnE+65OnTo0OQf4n6/X//6r/+qL774QiNHjtSIESPUu3dvPf74400+1j333KNbbrlFW7Zs0datW7Vw4UItXbpU69atk9/vV3JycqN/q01ISLB0TK21bp/PF3y+TdMW++x8mvOHVH19ffB7esm67+qr5jjfa3Tmt/2k05coJek3v/lNo+HbSv/ExcV9Z0Bevny5nn/+ed1xxx1yOp0aP368/vznP+tPf/pTo/P79++vLVu26MMPP9TWrVu1bt06LV26VC+++KLat2/f7LrPPI9nv7khdvssmrVZ7aWoBKDOnTsrPj5eVVVVlvb77LPP9Ne//lV/+MMfdPXVV0uSTp06pYMHDwZPp53t6NGjev755zVp0iSNHj1ao0eP1pEjR3TjjTdqx44d6tmzp06cOKFTp07pyiuvDO5XWFio7OxsjR079sIOtBXUXVVVpa5du0bkOGKNaX3WmPj4eJ08eTJk7Kuvvgp+Ty9ZF25fNebMxxec/fklBw4cCH5/xRVXKC4uTocOHQo5S/fKK69o3759evrppy+4hjNeeOEFTZ48WZMmTQqOFRcXB9+AzrVw4UINHDhQQ4cO1dChQ1VQUKDbbrtNGzdu1NSpU5td99GjRyWJ3jpHW+2zlqzNai9FLXL37dtXn376qaV9Lr30UsXFxendd99VWVmZ9uzZo4cffljffPONvF5vg/kdO3bUX/7yFxUWFuqzzz5TWVmZ1qxZo/j4ePXp00e5ubn6/ve/rylTpmjbtm366quvNHv2bK1du1Y9evSQdDqJfvPNN6qrqwv7WKNR9xmffvpp8E3cRCb1WWP69eunY8eOqbi4WOXl5VqzZo3++te/BrfTS+EJp68a07NnT7Vv317Lly/XwYMH9cEHH+i3v/1tcHtKSoruvvtuLViwQG+//bbKysr0xhtvqKioKOQP+aqqKh0/fvyCaunWrZs+/PBD7du3T19++aXmz5+vTZs2NdrzklRWVqYnn3xSW7du1ddff62NGzcG7zNqbt2SVFJSon/4h38gADWiLfZZS9UmWe+lqAWgYcOGnffmp3Olp6fr2Wef1ebNmzVixAg99NBDSk9P1/jx44Of8nu2uLg4rVixQna7XePHj9dtt92m//zP/9Ty5ct12WWXyeFwaOXKlerTp48efvhh/fjHP9bOnTu1ePFiOZ1OSdLhw4d1ww03aMOGDWEfazTqlk6ftfj44481dOjQsGuPdSb1WWOuu+46Pfjgg1q5cqVuu+02ffjhh3K5XMHt9FJ4wumrxiQnJ6uoqEglJSUaMWKEFixYoMceeyxkTkFBgcaNG6cFCxbo1ltv1bJly+RyuTR58uTgnDFjxuiZZ565oFrmzp2ruro63XnnnRo7dqw+//xzzZgxQ0ePHtWhQ4cazH/yySfldDqVn5+vm2++WQsWLNAjjzyi22+/vdl1S6dvgj33oxpwWlvss5aqTQqjlwJR8u233wb69+8f+Nvf/hatEpptxYoVgT/96U/RLsOyd999NzBkyJCA1+uNdilRQ59FBr0UqrX11SeffBJ44oknol2GZZWVlYE+ffoE9u/fH+1SWiX6rPnC6aWonQHq1KmT7rvvvlb/AVgnTpzQhg0bQv42HCtefvll/eIXv2jRfyahtaPPIoNeCtXa+mrp0qXN+tyn1ubVV1/VyJEjm/ztStPRZ80XVi+1YCA7L4/HE7jjjjsCn3zySTTLOC+PxxPtEizbtGlTYNKkSdEuo1Wgzy4MvdS41tRXrbV3vktFRUVg+PDhgerq6miX0qrRZ+cXbi/ZAoEmbvEHAABoo/jgBQAAYBwCEAAAMA4BCAAAGIcABAAAjEM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", 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" ] @@ -894,7 +896,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.853107Z", @@ -954,7 +956,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.860283Z", @@ -966,8 +968,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "sample tensor(-2.0776)\n", - "foo tensor(-0.9335)\n" + "sample tensor(0.5483)\n", + "foo tensor(-0.2826)\n" ] } ], @@ -1006,7 +1008,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:41.866367Z", @@ -1024,7 +1026,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.536841Z", @@ -1036,12 +1038,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.48899123072624207, -0.8093475699424744, 2.9455132484436035, 0.1296679675579071, 0.5448039174079895]\n" + "[-0.6225902438163757, 0.005093753803521395, 2.4754393100738525, -0.2677018642425537, -0.009533843025565147]\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1113,7 +1115,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.543290Z", @@ -1127,7 +1129,7 @@ "[tensor(0.), tensor(1.)]" ] }, - "execution_count": 23, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -1153,7 +1155,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.553548Z", @@ -1164,10 +1166,10 @@ { "data": { "text/plain": [ - "[tensor(0.), tensor(0.)]" + "[tensor(0.), tensor(1.)]" ] }, - "execution_count": 24, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1210,7 +1212,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.562675Z", @@ -1225,7 +1227,7 @@ "tensor(1.)" ] }, - "execution_count": 25, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1245,7 +1247,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.601527Z", @@ -1257,10 +1259,10 @@ { "data": { "text/plain": [ - "0.765" + "0.747" ] }, - "execution_count": 26, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1313,7 +1315,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.934199Z", @@ -1327,13 +1329,13 @@ "" ] }, - "execution_count": 27, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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tLWpvb9eWLVv0wgsvKBQKqba2VhMTE1Fz3333XX3xi19UYWGh9u3bp5aWFr3++uv6yle+EpPiAQCAvVgKJhMTE2pra5PP51NVVZVKS0vV3NysgYEBdXZ2Rs0/duyYli1bps2bN2vBggVasmSJ/vqv/1qvvfZazBoAAAD2YSmY9Pb2amRkRBUVFeExr9ersrIydXd3R81fuHChdu7cqbS0NEnSkSNH9OKLL+pjH/vYLMsGAAB2lGZl8sDAgCRp3rx5EeP5+fnhxy7kk5/8pH7729+qsLBQTz75pMUyo6WlxXbdrsuV3OuATah/ugYTaokn+rSPVOhRok+7sXufloLJ2NiYJMntdkeMp6ena3h4+A9u29TUpLGxMTU2Nurzn/+8XnzxRWVmZlos9xyn06Hc3Jlta1deb0aiSwgzqZZ4ok/7SIUeJfq0G7v2aSmYeDweSefWmkx/LUnj4+PKyPjDL9CNN94oSXryySd122236ZVXXtEdd9xhsdxzQqEpBQKjM9r2QlwuZ1K/yYHAmILBUEJrmH4NTaglnujTPlKhR4k+7SZZ+/R6My7qKI+lYDJ9Csfv92v+/Pnhcb/fr5KSkqj5v/nNb/S73/1OVVVV4bG5c+cqJydHg4ODVp46yuRk8rwZl0IwGDLmNTGplniiT/tIhR4l+rQbu/Zp6QRVaWmpsrKy1NXVFR4LBALq6elReXl51Pz/+I//kM/nUyAQCI/97ne/08mTJ1VcXDyLsgEAgB1ZCiZut1s1NTVqamrST37yE/X29mrdunUqKChQdXW1gsGgTpw4oTNnzkiSVqxYoZycHNXX1+vw4cM6ePCgfD6fbrrpJn384x+PS0MAACB5WV7S6/P5tHLlSjU0NGjVqlVyuVxqbW3VnDlzdPz4cS1btkwdHR2SpJycHP3TP/2TJGnVqlV68MEHVVZWptbWVrlcrth2AgAAkp6lNSaS5HK5VF9fr/r6+qjHioqKdOjQoYixBQsW6Omnn555hQAAIGXY8yJoAACQlAgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMdISXQAuPafTIafTEfP9ulzOiM+xFgpNKRSaisu+AQBmIJikGKfToZycy+IWHiTJ682Iy36DwZBOnRolnACAjRFMUozT6ZDL5VTT86+rf/B0osu5aEVzs7V+9c1yOh0EEwCwMYJJiuofPK0jx4YTXQYAABFY/AoAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjWA4moVBIu3btUmVlpRYtWqS6ujr19fVdcP7hw4e1Zs0a3XrrraqoqJDP59P//M//zKpoAABgT5aDSUtLi9rb27Vlyxa98MILCoVCqq2t1cTERNTckydP6otf/KI8Ho+effZZ/eM//qOGhoZUW1ur8fHxmDQAAADsw1IwmZiYUFtbm3w+n6qqqlRaWqrm5mYNDAyos7Mzav6rr76q0dFRfetb39J1112nG264QY2NjTpy5IjeeOONmDUBAADsIc3K5N7eXo2MjKiioiI85vV6VVZWpu7ubq1YsSJifkVFhVpaWuTxeMJjTue5LBQIBGZTt9LSYrs8xuVK7uU2F1t/qvR5KWowoZZ4SoU+U6FHiT7txu59WgomAwMDkqR58+ZFjOfn54cf+31FRUUqKiqKGNuzZ488Ho/Ky8ut1hrmdDqUm5s54+3tyOvNSHQJl4RJfZpUSzylQp+p0KNEn3Zj1z4tBZOxsTFJktvtjhhPT0/X8PDwH93+2Wef1XPPPaeGhgbl5eVZeeoIodCUAoHRGW9/Pi6XM6nf5EBgTMFg6I/OS5U+42n6NTShlnhKhT5ToUeJPu0mWfv0ejMu6iiPpWAyfUpmYmIi4vTM+Pi4MjIu/MtuampKjz/+uJ566indf//9+tznPmflac9rcjJ53oxLIRgMpcRrYlKfJtUST6nQZyr0KNGn3di1T0snqKZP4fj9/ohxv9+vuXPnnnebs2fPqr6+Xrt379YjjzyiL33pSzOrFAAA2J6lYFJaWqqsrCx1dXWFxwKBgHp6ei64ZmTDhg3613/9V+3YsUN33333rIoFAAD2ZulUjtvtVk1NjZqampSXl6fCwkI1NjaqoKBA1dXVCgaDGhoaUnZ2tjwej/bt26eOjg5t2LBBt9xyi06cOBHe1/QcAACAaZavNfL5fFq5cqUaGhq0atUquVwutba2as6cOTp+/LiWLVumjo4OSdI///M/S5K+9a1vadmyZREf03MAAACmWTpiIkkul0v19fWqr6+PeqyoqEiHDh0K/3dbW9vsqgMAACnFnndnAQAASYlgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDHSEl0AEC9Op0NOpyPm+3W5nBGfYy0UmlIoNBWXfQOA6QgmsCWn06GcnMviFh4kyevNiMt+g8GQTp0aJZwASEmWg0koFNKTTz6pH/zgBzp9+rTKy8u1ceNGXXXVVX90uzVr1mjhwoVau3btjAsGLobT6ZDL5VTT86+rf/B0osu5aEVzs7V+9c1yOh0EEwApyXIwaWlpUXt7u7Zv366CggI1NjaqtrZWBw4ckNvtPu82ExMT2rhxo372s59p4cKFsy4auFj9g6d15NhwossAAFwkS8e5JyYm1NbWJp/Pp6qqKpWWlqq5uVkDAwPq7Ow87zZvvPGG7rrrLh08eFBerzcmRQMAAHuyFEx6e3s1MjKiioqK8JjX61VZWZm6u7vPu82//du/qbKyUvv371d2dvbsqgUAALZm6VTOwMCAJGnevHkR4/n5+eHHPmjdunUzLO0PS0uL7aLGeC6SvBQutn76TA4m1B/vq49MkAo9SvRpN3bv01IwGRsbk6SotSTp6ekaHr505/GdTodyczMv2fMlg3hdIWIa+rz0TKolXlKhR4k+7caufVoKJh6PR9K5tSbTX0vS+Pi4MjIu3QsUCk0pEBiN6T5dLmdSv8mBwJiCwdAfnUefyeFi+4yn6dfQhFriJRV6lOjTbpK1T68346KO8lgKJtOncPx+v+bPnx8e9/v9KikpsVji7ExOJs+bcSkEg6GUeE3o89IzqZZ4SYUeJfq0G7v2aekEVWlpqbKystTV1RUeCwQC6unpUXl5ecyLAwAAqcXSERO3262amho1NTUpLy9PhYWFamxsVEFBgaqrqxUMBjU0NKTs7OyIUz0AAAAXw/KSXp/Pp5UrV6qhoUGrVq2Sy+VSa2ur5syZo+PHj2vZsmXq6OiIR60AAMDmLN/51eVyqb6+XvX19VGPFRUV6dChQxfc9qc//anVpwMAACnEnhdBAwCApEQwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMkZboAgDMjtPpkNPpiPl+XS5nxOdYC4WmFApNxWXfAJIXwQRIYk6nQzk5l8UtPEiS15sRl/0GgyGdOjVKOAEQgWACJDGn0yGXy6mm519X/+DpRJdz0YrmZmv96pvldDoIJgAiEEwAG+gfPK0jx4YTXQYAzBqLXwEAgDEIJgAAwBgEEwAAYAyCCQAAMAbBBAAAGIOrcgAYL1lvIidxIznAKoIJAKMl803kJG4kB1hFMAFgtGS9iZzEjeSAmSCYAEgK3EQOSA0sfgUAAMYgmAAAAGNYDiahUEi7du1SZWWlFi1apLq6OvX19V1w/smTJ/XlL39Z5eXluuWWW/Too49qbGxsVkUDAAB7srzGpKWlRe3t7dq+fbsKCgrU2Nio2tpaHThwQG63O2q+z+fT2NiYnnnmGQUCAX3ta1/T6OiovvnNb8akAQCwi2S9LJpLohFLloLJxMSE2tratH79elVVVUmSmpubVVlZqc7OTq1YsSJi/n/+53/qF7/4hTo6OlRcXCxJ2rx5s2pra/XQQw9p7ty5sekCAJJcMl8WzSXRiCVLwaS3t1cjIyOqqKgIj3m9XpWVlam7uzsqmBw8eFBXXnllOJRI0i233CKHw6HXX39dn/rUp2ZZPgDYQ7JeFj2TS6JT5chQqvQZa5aCycDAgCRp3rx5EeP5+fnhx37f4OBg1Fy3262cnBwdP37caq1hTqdDeXmZM97+fBz/+72zqa5Ck8FQTPcdT2n/+415+eUZmrqI7yP6NBt9RkvWHqWZ9Vn7/25Iqj6tfs9K536GOxyx/4U9LV5HhqamrAeTVOjzYl1sSLMUTKYXrX5wLUl6erqGh6PvLzA2NnbedSfp6ekaHx+38tQRHA6HXK74vNk52elx2W+8OZ3WkjN9mo0+oyVrj1Jq9Gn1ezYZxfN3j0kS3ael7ySPxyPp3FqT3zc+Pq6MjOjk5vF4ouZOz7/sssusPDUAAEgBloLJ9GkZv98fMe73+8+7kLWgoCBq7sTEhE6dOqX8/HyrtQIAAJuzFExKS0uVlZWlrq6u8FggEFBPT4/Ky8uj5peXl2tgYEDvvPNOeOwXv/iFJOnmm2+eac0AAMCmLK0xcbvdqqmpUVNTk/Ly8lRYWKjGxkYVFBSourpawWBQQ0NDys7Olsfj0cKFC7VkyRKtW7dOmzZt0ujoqDZu3Kg77riDS4UBAEAUx9TUxa6jPicYDGrnzp3at2+fzpw5o/Lycm3cuFFFRUXq7+/X7bffrm3btumuu+6SJL333nt69NFH9bOf/Uzp6en6i7/4Cz3yyCNKT0/OBV4AACB+LAcTAACAeLH/9V0AACBpEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMImzUCikXbt2qbKyUosWLVJdXZ36+voSXVbcPP300/rc5z6X6DLi4tSpU9q4caOWL1+uJUuWaNWqVTp48GCiy4q59957T/X19frIRz6ixYsXa82aNTpy5Eiiy4qbo0ePavHixdq3b1+iS4mLwcFBlZSURH3Yrd/9+/frU5/6lG688Ub95V/+pf7lX/4l0SXFVFdX13nfx5KSEt1+++2JLi+mLN2SHta1tLSovb1d27dvV0FBgRobG1VbW6sDBw7I7XYnuryYev755/UP//APWrp0aaJLiYuHHnpIJ06c0M6dO3XFFVfo2Wef1T333KMf/ehH+vCHP5zo8mLmwQcfVCgU0p49e5SZmanHH39cd999tzo7O8/7V8ST2dmzZ7V+/XqNjo4mupS46e3tVXp6ul599VU5HP/3p+yzs7MTWFVsvfjii/ra176mr371q6qsrNTLL7+shx56SAUFBVq8eHGiy4uJxYsX69///d8jxn75y19q7dq1euCBBxJUVXxwxCSOJiYm1NbWJp/Pp6qqKpWWlqq5uVkDAwPq7OxMdHkxMzg4qPvuu09NTU265pprEl1OXLzzzjt67bXXtGnTJi1dulQLFizQ17/+deXn5+vAgQOJLi9mhoeHVVhYqK1bt+qmm25ScXGxHnjgAfn9fh0+fDjR5cXcE088oaysrESXEVdvv/22rrnmGuXn5+vKK68Mf3g8nkSXFhNTU1N6/PHH9fnPf16rV6/W/Pnzdf/99+ujH/1o+I/G2oHb7Y54/zIzM7Vt2zbdeeed+sxnPpPo8mKKYBJHvb29GhkZUUVFRXjM6/WqrKxM3d3dCawstt566y3NmTNHL730khYuXJjocuIiNzdXe/bs0Y033hgeczgccjgcCgQCCawsti6//HLt2LFD1113nSRpaGhIzzzzjAoKCnTttdcmuLrY6u7u1ve+9z1t37490aXE1aFDh1RcXJzoMuLm6NGjOnbsmP7qr/4qYry1tVX33ntvgqqKv927d2tsbEwPP/xwokuJOU7lxNHAwIAkad68eRHj+fn54cfs4BOf+IQ+8YlPJLqMuPJ6vbrtttsixn784x/rnXfe0Ve/+tUEVRVfX//61/X9739fbrdbTz31lC677LJElxQzgUBAGzZsUENDQ9T/n3bz9ttvKzc3V6tXr9bRo0d19dVX6/7779fy5csTXVpMHD16VJI0Ojqqe+65Rz09PSoqKtL9999v259L0/9g+PKXv6ycnJxElxNzHDGJo7GxMUmKWkuSnp6u8fHxRJSEGHnjjTf0yCOPqLq6WlVVVYkuJy6+8IUvaO/evVqxYoUefPBBvfXWW4kuKWY2bdqkxYsXR/0r224mJyf1m9/8RsPDw1q7dq327NmjRYsWac2aNfr5z3+e6PJi4v3335ckPfzww1qxYoXa2tr0sY99TA888IBtevyg9vZ2ZWdn62/+5m8SXUpccMQkjqbP4U5MTESczx0fH7fdIsJU8uqrr2r9+vVasmSJmpqaEl1O3Eyfunnsscf05ptv6rnnntO2bdsSXNXs7d+/XwcPHrTV2qALSUtLU1dXl1wuV/hn0A033KDDhw+rtbU14jRzspozZ44k6Z577tGdd94pSfqzP/sz9fT06Dvf+Y4tevyg/fv364477rDNOqEP4ohJHE0fIvb7/RHjfr9fc+fOTURJmKXnnntOa9eu1cc//nHt3r1b6enpiS4ppoaGhvTyyy9rcnIyPOZ0OnXttddGfR8nq7179+q9995TVVWVFi9eHL5q4+///u9VW1ub4OpiLzMzM+oX2J/+6Z9qcHAwQRXF1vTP0ul1UdOuvfZa9ff3J6KkuOrt7VVfX5+tj/YRTOKotLRUWVlZ6urqCo8FAgH19PSovLw8gZVhJtrb27VlyxatXr1aO3futN3l3pL07rvv6qGHHoo4BH727Fn19PTYZgFlU1OTOjo6tH///vCHJPl8Pj322GOJLS7GDh8+rCVLlkT8DJKkX//617ZZzHz99dcrMzNTb775ZsT422+/rfnz5yeoqvg5ePCgrrjiCpWWlia6lLjhVE4cud1u1dTUqKmpSXl5eSosLFRjY6MKCgpUXV2d6PJgwdGjR/WNb3xDf/7nf657771X7777bvgxj8djm3tCXHfddVq+fLm2bt2qrVu36vLLL9fTTz+tQCCgu+++O9HlxcSFjlZeccUVtjuSWVxcrA9/+MPavHmzHn30UeXm5ur73/++fvnLX2rv3r2JLi8mPB6Pamtr9e1vf1tz587VTTfdpJdfflmvvfaannnmmUSXF3M9PT0qKSlJdBlxRTCJM5/Pp8nJSTU0NOjMmTMqLy9Xa2tr+LwoksOPf/xjnT17Vq+88opeeeWViMfuvPNOW11yunPnTu3YsUPr1q3T6dOntXTpUj3//PP60Ic+lOjSYJHT6dTu3bu1Y8cOfelLX1IgEFBZWZm+853vRJ36SGYPPPCAMjIy1NzcrMHBQRUXF+uJJ57QrbfemujSYu7EiRO2vBLn9zmmpqamEl0EAACAxBoTAABgEIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABjj/wOG/LQkqeGvYAAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -1373,7 +1375,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.938827Z", @@ -1397,7 +1399,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.948255Z", @@ -1410,8 +1412,8 @@ "output_type": "stream", "text": [ "bob blue\n", - "alice blue\n", - "bob brown\n" + "alice brown\n", + "bob green\n" ] } ], @@ -1446,7 +1448,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.958143Z", @@ -1457,19 +1459,19 @@ { "data": { "text/plain": [ - "[tensor(9),\n", - " tensor(8),\n", + "[tensor(2),\n", + " tensor(1),\n", " tensor(8),\n", + " tensor(5),\n", " tensor(9),\n", - " tensor(7),\n", + " tensor(6),\n", " tensor(0),\n", - " tensor(7),\n", + " tensor(8),\n", " tensor(1),\n", - " tensor(3),\n", - " tensor(1)]" + " tensor(2)]" ] }, - "execution_count": 30, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -1490,7 +1492,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.968331Z", @@ -1501,19 +1503,19 @@ { "data": { "text/plain": [ - "[tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7),\n", - " tensor(7)]" + "[tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8),\n", + " tensor(8)]" ] }, - "execution_count": 31, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1535,7 +1537,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.976548Z", @@ -1547,9 +1549,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "bob green\n", + "bob blue\n", "alice brown\n", - "bob green\n" + "bob blue\n" ] } ], @@ -1578,7 +1580,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2019-09-10T03:07:42.986767Z", @@ -1589,11 +1591,11 @@ { "data": { "text/plain": [ - "[[tensor(1.), tensor(0.), tensor(0.), tensor(0.)],\n", - " [tensor(1.), tensor(0.), tensor(0.), tensor(0.)]]" + "[[tensor(0.), tensor(1.), tensor(1.), tensor(1.)],\n", + " [tensor(0.), tensor(1.), tensor(1.), tensor(1.)]]" ] }, - "execution_count": 33, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -1625,310 +1627,64 @@ "# Intuitive Physics Example\n", "Humans have a deep intuitive understanding of everyday physics — this allows us to make furniture, appreciate sculpture, and play baseball. How can we describe this intuitive physics? One approach is to posit that humans have a generative model that captures key aspects of real physics, though perhaps with approximations and noise. This mental physics simulator could for instance approximate Newtonian mechanics, allowing us to imagine the future state of a collection of (rigid) bodies. We have included such a 2-dimensional physics simulator using Python's `Pymunk` and `Pyglet` modules.\n", "\n", - "Pymunk is a 2D physics library, which we use to simulate the setup and progression of our 'world' - in this case, a series of stacked blocks. We use Pyglet to handle the animation of the simulation. Here we define a class `Simulate` that takes a collection of physical objects and runs physics 'forward' by some amount of time. We also have the class `Animate`, which does the same, but gives us an animation to see what is happening.) We can use these to imagine the outcome of various initial states, as in the Plink machine example above:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# Define some variables\n", - "WORLD_WIDTH = 400\n", - "WORLD_HEIGHT = 600\n", - "FLOOR_HEIGHT = 50\n", - "X_CENTRE = WORLD_WIDTH/2" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "hidden": true - }, - "outputs": [], - "source": [ - "def dim():\n", - " # function to generate widths/heights of blocks\n", - " return randint(50, 100)\n", - "\n", - "class Block:\n", - " def __init__(self, width=None, height=None, x=0, y=0, is_first=False, is_static=False):\n", - " self.w = width\n", - " self.h = height\n", - " self.x = x\n", - " self.y = y\n", - " self.is_first = is_first\n", - " self.is_static = is_static\n", + "Pymunk is a 2D physics library, which we use to simulate the setup and progression of our 'world' - in this case, a series of stacked blocks. We use Pyglet to handle the animation of the simulation. Here we define a class `Simulate` that takes a collection of physical objects and runs physics 'forward' by some amount of time. We also have the class `Animate`, which does the same, but gives us an animation to see what is happening). We can use these to imagine the outcome of various initial states, as in the Plinko machine example above.\n", "\n", - " if not self.w:\n", - " self.w = dim()\n", - " if not self.h:\n", - " self.h = dim()\n", + "There are many judgements that you could make with such a physics simulator. [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) have explored human intuitions about the stability of block towers. \n", "\n", - " def to_tensor(self):\n", - " self.w = torch.tensor(self.w)\n", - " self.h = torch.tensor(self.h)\n", - " self.x = torch.tensor(self.x)\n", - " self.y = torch.tensor(self.y)\n", - " return self" + "Run the cell below to look at several different random block towers; try to judge first whether you think the tower is stable. You can press `R` on your keyboard to load a new tower, and `Esc` to exit the animation window. " ] }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 117, "metadata": {}, "outputs": [], "source": [ - "class Simulate:\n", - " def __init__(self, world=None, num_blocks=5):\n", - " self.world=world\n", - " self.num_blocks = num_blocks\n", - "\n", - " # create the simulation world\n", - " self.create_world()\n", - " \n", - " def create_world(self):\n", - " # Create the simulation world\n", - "\n", - " self.space = pymunk.Space()\n", - " self.space.gravity = Vec2d(0.0, -200.0)\n", - " self.space.sleep_time_threshold = 1\n", - "\n", - " # add the floor - other walls/bounds could be added here\n", - " static_lines = [\n", - " pymunk.Segment(self.space.static_body, Vec2d(-WORLD_WIDTH, FLOOR_HEIGHT), Vec2d(WORLD_WIDTH*2, FLOOR_HEIGHT), 1),\n", - " ]\n", - "\n", - " for l in static_lines:\n", - " l.friction = 0.3\n", - " self.space.add(*static_lines)\n", - "\n", - " # create the blocks\n", - "\n", - " if not self.world:\n", - " prev_block = self.add_block(None)\n", - " for idx in range(1, self.num_blocks):\n", - " next_block = self.add_block(idx, prev_block=prev_block)\n", - " prev_block = next_block \n", - "\n", - " else:\n", - " for idx, item in enumerate(self.world):\n", - " self.add_block(idx, new_block=item)\n", - "\n", - " return 1\n", - "\n", - " def add_block(self, idx, prev_block=None, new_block=None):\n", - " # function for creating and positioning blocks\n", - "\n", - " if new_block == None:\n", - " block = Block()\n", - " if prev_block == None:\n", - " block.is_first = True\n", - " block.x = X_CENTRE\n", - " # Block_x = pyro.sample(\"Block_0_x\", dist.Delta(torch.tensor(X_CENTRE, dtype=torch.float)))\n", - " # block.x = int(Block_x.item())\n", - " block.y = FLOOR_HEIGHT + block.h/2\n", - "\n", - " else:\n", - " # vals = torch.tensor(list(range(int(np.ceil(prev_block.x - prev_block.w/2)), int(np.floor(prev_block.x + prev_block.w/2)))), dtype=torch.float)\n", - " # log_probs = torch.log(torch.ones(vals.size(), dtype=torch.float))\n", - " # Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Empirical(samples=vals, log_weights=log_probs))\n", - " # block.x = int(Block_x.item())\n", - " block.x = randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2)\n", - " block.y = prev_block.y + prev_block.h/2 + block.h/2\n", - "\n", - " else:\n", - " block = deepcopy(new_block)\n", - " # Block_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", - " if idx == 4:\n", - " Block_4_x = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", - " # if idx == 1:\n", - " # Block1 = pyro.sample(\"Block_{}_x\".format(idx), dist.Delta(torch.tensor(block.x, dtype=torch.float)))\n", - "\n", - " # pymunk box coords are at Centre of Mass !\n", - "\n", - " mass = block.w*block.h/100\n", - " moment = pymunk.moment_for_box(mass, (block.w, block.h))\n", - " body = pymunk.Body(mass, moment)\n", - " body.position = Vec2d(block.x, block.y)\n", - " shape = pymunk.Poly.create_box(body, (block.w, block.h))\n", - " shape.friction = 0.3\n", - " shape.color = (randint(50,150), randint(50,150), randint(100,255), 255)\n", - " self.space.add(body, shape)\n", - " return block\n", - "\n", - "\n", - " def update(self, dt):\n", - " # Here we use a very basic way to keep a set space.step dt.\n", - " # For a real game its probably best to do something more complicated.\n", - " step_dt = 1 / 250.0\n", - " x = 0\n", - " while x < dt:\n", - " x += step_dt\n", - " self.space.step(step_dt)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Convenience" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [], - "source": [ - "class Animate(pyglet.window.Window):\n", - " # main class for animation\n", - "\n", - " def __init__(self, world=None, num_blocks=5):\n", - "\n", - " self.world=world\n", - " self.num_blocks=num_blocks\n", - "\n", - " #set the window size\n", - " self.window = pyglet.window.Window.__init__(self, width=WORLD_WIDTH, height= WORLD_HEIGHT, vsync=False)\n", - " self.set_caption(\"2D Boxes\")\n", - "\n", - " # sets how frequently self.update gets called once sim starts\n", - " pyglet.clock.schedule_interval(self.update, 1 / 60.0)\n", - " # display FPS\n", - " self.fps_display = pyglet.window.FPSDisplay(self)\n", - "\n", - " # create the simulation world\n", - " self.simulation = Simulate(self.world, self.num_blocks)\n", - " self.simulation.create_world()\n", - "\n", - " # add draw options\n", - " self.draw_options = pymunk.pyglet_util.DrawOptions()\n", - " self.draw_options.flags = self.draw_options.DRAW_SHAPES\n", - "\n", - " # add some text\n", - " self.label = pyglet.text.Label('Hit R to reset', font_name='Times New Roman', font_size=16, x=10, y=WORLD_HEIGHT-25)\n", - "\n", - " def update(self, dt):\n", - " self.simulation.update(dt)\n", - "\n", - " def on_key_press(self, symbol, modifiers):\n", - " # fire a ball at the blocks to get them to move\n", - " if symbol == key.SPACE:\n", - " mass = 100\n", - " r = 15\n", - " moment = pymunk.moment_for_circle(mass, 0, r, (0, 0))\n", - " body = pymunk.Body(mass, moment)\n", - " body.position = (0, 165)\n", - " shape = pymunk.Circle(body, r, (0, 0))\n", - " shape.friction = 0.3\n", - " shape.color = (255, 150, 150, 255)\n", - " self.simulation.space.add(body, shape)\n", - " f = 50000\n", - " body.apply_impulse_at_local_point((f, 0), (0, 0))\n", - "\n", - " elif symbol == key.R:\n", - " self.clear()\n", - " self.simulation = Simulate(self.world, self.num_blocks)\n", - " self.simulation.create_world()\n", - "\n", - " elif symbol == key.ESCAPE:\n", - " self.close()\n", - " pyglet.app.exit()\n", - " \n", - " elif symbol == pyglet.window.key.P:\n", - " pyglet.image.get_buffer_manager().get_color_buffer().save(\n", - " \"box2d_vertical_stack.png\"\n", - " )\n", - "\n", - " def on_draw(self):\n", - " self.clear()\n", - " # self.fps_display.draw()\n", - " self.simulation.space.debug_draw(self.draw_options)\n", - " self.label.draw()" + "DIMS = {\n", + " \"WORLD_WIDTH\": 400,\n", + " \"WORLD_HEIGHT\": 600,\n", + " \"FLOOR_HEIGHT\": 50,\n", + "}\n", + "\n", + "animation = Animate(dims=DIMS)\n", + "pyglet.app.run()" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "There are many judgements that you could make with such a physics simulator. [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) have explored human intuitions about the stability of block towers. Look at several different random block towers; first judge whether you think the tower is stable, then simulate to find out if it is:" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [], - "source": [ - "if __name__ == \"__main__\":\n", - " animation = Animate()\n", - " pyglet.app.run()" + "You can also see a recording of what this looks like here:\n", + "\n", + "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Were you often right? Were there some cases of ‘surprisingly stable’ towers? [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) account for these cases by positing that people are not entirely sure where the blocks are initially (perhaps due to noise in visual perception). Thus our intuitions of stability are really stability given noise (or the expected stability marginalizing over slightly different initial configurations). We can realize this measure of stability as:" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [], - "source": [ - "def does_tower_fall(initial_w, final_w):\n", - " # here we compare the intial and final world states and see whether the highest block is roughly in the same place\n", - " def highest_y(w):\n", - " return max([b.y for b in w])\n", - "\n", - " def approx_equal(a, b):\n", - " return (abs(a - b) < 1)\n", - "\n", - " return not approx_equal(highest_y(initial_w), highest_y(final_w))\n", - "\n", - "def noisify(world):\n", - " noisy_world = deepcopy(world)\n", - "\n", - " vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float)\n", - " log_probs = torch.log(torch.tensor([0.2, 0.6, 0.2], dtype=torch.float))\n", - " noise_width = pyro.sample(\"noise_width\", dist.Empirical(samples=vals, log_weights=log_probs))\n", - " noise_width = float(noise_width.item())\n", - "\n", - " def perturb_x(b):\n", - " return randint(b.x - noise_width, b.x + noise_width)\n", - " \n", - " for b in noisy_world:\n", - " b.x = perturb_x(b)\n", - "\n", - " return noisy_world\n", - "\n", - "def run_simulation(world):\n", - " initial_world = noisify(world)\n", - "\n", - " simulation = Simulate(initial_world)\n", - " # probs want to make this a while loop that stops when everything stops moving\n", - " for i in range(1000):\n", - " simulation.update(1/60.0)\n", - "\n", - " final_world = []\n", - " for body in simulation.space._bodies:\n", - " final_world.append(Block(x=body.position.x, y=body.position.y))\n", - "\n", - " S = not does_tower_fall(initial_world, final_world)\n", + "Were you often right? Were there some cases of ‘surprisingly stable’ towers? [Hamrick et al. (2011)](https://cseweb.ucsd.edu/~gary/cs200/s11/hamrick-etal-cogsci2011.pdf) account for these cases by positing that people are not entirely sure where the blocks are initially (perhaps due to noise in visual perception). Thus our intuitions of stability are really stability given noise (or the expected stability marginalizing over slightly different initial configurations). \n", "\n", - " return S" + "Let us now define some sample worlds - a *stable world* that always remains standing, an *unstable world* that almost always falls over, and an *almost unstable world*, that is precariously balanced, so sometimes falls and sometimes stands." ] }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 116, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "stable_world = [\n", " Block(90, 50, 200, 75),\n", @@ -1943,7 +1699,7 @@ " Block(50, 70, 210, 135),\n", " Block(40, 40, 190, 190),\n", " Block(20, 80, 185, 250),\n", - " Block(80, 20, 190, 300),\n", + " Block(80, 20, 195, 300),\n", "]\n", "\n", "unstable_world = [\n", @@ -1951,59 +1707,67 @@ " Block(50, 70, 210, 135),\n", " Block(40, 40, 220, 190),\n", " Block(20, 80, 230, 250),\n", - " Block(80, 20, 240, 300),\n", + " Block(80, 20, 245, 300),\n", "]\n", "\n", - "def model():\n", - " s = run_simulation(unstable_world)\n", - " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s, dtype=torch.float)))\n", - " return Stability" + "# Uncomment any worlds you would like to see plotted\n", + "# draw_world(stable_world, DIMS)\n", + "draw_world(almost_unstable_world, DIMS)\n", + "# draw_world(unstable_world, DIMS)\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then use Pyro to realize our measure of stability:" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 115, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{True: 16, False: 4}\n" + "Variables sampled by Pyro in our model: \n", + "['_INPUT', 'noise_width', 'Block_0_x', 'Block_1_x', 'Block_2_x', 'Block_3_x', 'Block_4_x', 'Stability', '_RETURN']\n" ] } ], "source": [ - "out = {True:0, False:0}\n", - "for i in range(20):\n", - " res = run_simulation(almost_unstable_world)\n", - " out[res] = out[res] + 1\n", - "print(out)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Inference" + "def model(world, dims):\n", + " s = run_simulation(world, dims)\n", + " Stability = pyro.sample(\"Stability\", dist.Delta(torch.tensor(s, dtype=torch.float)))\n", + " return Stability\n", + "\n", + "# Uncomment whichever of the models you would like to test:\n", + "# our_model = lambda: model(stable_world, DIMS)\n", + "our_model = lambda: model(almost_unstable_world, DIMS)\n", + "# our_model = lambda: model(unstable_world, DIMS)\n", + "\n", + "sampled_vars = list(pyro.poutine.trace(our_model).get_trace().nodes.keys())\n", + "print(f\"Variables sampled by Pyro in our model: \", sampled_vars, sep='\\n')" ] }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 94, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "odict_keys(['_INPUT', 'noise_width', 'Block_4_x', 'Stability', '_RETURN'])\n", - "tensor(0.6667)\n" + "P(Stable = True | noise_width = 5.0) = 0.5839999914169312\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -2013,57 +1777,44 @@ } ], "source": [ + "# See how the results vary with nw = 1.0, 5.0 and 10.0\n", "nw = 5.0\n", - "conditions = {\n", - " \"noise_width\" : torch.tensor(nw, dtype=torch.float),\n", - " # \"Block_4_x\" : torch.tensor(240, dtype=torch.float)\n", - "}\n", - "\n", - "conditioned_model = pyro.condition(model, conditions)\n", - "\n", - "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", - "# importance = Importance(model, guide=None, num_samples=100)\n", - "\n", - "t = pyro.poutine.trace(conditioned_model).get_trace()\n", - "print(t.nodes.keys())\n", - "# for key, value in t.nodes.items():\n", - "# print(key, value)\n", - "# print('\\n')\n", - "\n", - "# print(np.exp(t.log_prob_sum()))\n", - "# params = [t.nodes[name][\"value\"].unconstrained() for name in t.param_nodes]\n", - "# print(params)\n", + "emp_marginal = infer_physics(\n", + " our_model, \n", + " conditions={\"noise_width\": torch.tensor(nw)},\n", + " sites = [\"Stability\"],\n", + " num_samples=500\n", + ")\n", "\n", - "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", - "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"Stability\"])\n", - "# print(emp_marginal.log_weights)\n", - "# print(emp_marginal.enumerate_support())\n", "outcome = torch.tensor([True], dtype=torch.float)\n", "\n", "log_prob = emp_marginal.log_prob(outcome)\n", "p = np.exp(log_prob)\n", - "print(p)\n", + "print(f\"P(Stable = True | noise_width = 5.0) = {p}\")\n", "\n", - "viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=\"Probability that model is stable given noise_width={}\".format(nw))" + "if p != 1.0:\n", + " viz(emp_marginal, plot_args={\"tick_label\":[\"False\", \"True\"], \"width\":0.6}, title=f\"Probability that model is stable given noise_width={nw}\")\n", + "else:\n", + " print(\"No plot as we have a single bar!\")" ] }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "P(noise_width=1.0) = 0.2857142984867096\n", - "P(noise_width=5.0) = 0.5714285969734192\n", - "P(noise_width=10.0) = 0.1428571492433548\n" + "P(noise_width=1.0 | stable = True) = 0.24354243278503418\n", + "P(noise_width=5.0 | stable = True) = 0.5867159366607666\n", + "P(noise_width=10.0 | stable = True) = 0.1697417050600052\n" ] }, { "data": { - "image/png": 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", + "image/png": 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" ] @@ -2073,34 +1824,33 @@ } ], "source": [ - "conditions = {\n", - " \"Stability\": torch.tensor(False, dtype=torch.float)\n", - "}\n", - "conditioned_model = pyro.condition(model, conditions)\n", - "importance = Importance(conditioned_model, guide=None, num_samples=100)\n", - "# importance = Importance(model, guide=None, num_samples=100)\n", - "trace_posterior_conditioned = importance.run() # args and kwargs are used if your model function takes any input arguments to run\n", - "emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=[\"noise_width\"])\n", + "emp_marginal = infer_physics(\n", + " our_model,\n", + " conditions = {\"Stability\": torch.tensor(1.0)},\n", + " sites = [\"noise_width\"],\n", + " num_samples=500\n", + ")\n", "\n", - "# for o in [1.0]:\n", - "for o in [1.0, 5.0, 10.0]:\n", - " outcome = torch.tensor([o])\n", + "noise_widths = [1.0, 5.0, 10.0]\n", + "for nw in noise_widths:\n", + " outcome = torch.tensor([nw])\n", "\n", " log_prob = emp_marginal.log_prob(outcome)\n", " p = np.exp(log_prob)\n", - " print(\"P(noise_width={}) = {}\".format(o,p))\n", + " print(f\"P(noise_width={nw} | stable = True) = {p}\")\n", " \n", - "tick_labels = [\"1.0\", \"5.0\", \"10.0\"]\n", + "tick_labels = [str(item) for item in noise_widths]\n", "# tick_labels = None\n", - "viz(emp_marginal, plot_args={\"tick_label\":tick_labels, \"width\": 1}, title=\"Probabilities that noise_width is a particular value given the model was unstable\")" + "viz(emp_marginal, plot_args={\"tick_label\":tick_labels, \"width\": 1}, title=\"Probabilities that noise_width is a particular value given the model was stable\")" ] }, { - "cell_type": "code", - "execution_count": null, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "Within the Simulate class, a noise_width value is picked from the options [1.0, 5.0, 10.0] with respective probabilities of being chosen of [0.2, 0.6, 0.2]. The plot above shows given the model is stable, we have a stronger belief that the noise_width value selected is 1.0 or 5.0, rather than the larger noise value of 10.0." + ] } ], "metadata": { diff --git a/img/tower_animations.gif b/img/tower_animations.gif new file mode 100644 index 0000000000000000000000000000000000000000..f5e5b2af8f9b0c621b90c2c6b73b475288d6106e GIT binary patch literal 2549796 zcmb5Vbx>Tv_vksm3^HhN0wK6t2r~@s43OZ#-Ccq^1h)XeEx3EI!67&V3-0b75}XX1 z@9+KI*1p=euWGwKxBK+z(^dD6zTJIKpN7lJ!URmb(E>nT008YXwvx;TbtwrI8D1_P zG!(!;)jbeM`LE>o_W=H5Rtf?D(Ed~T?}UPihK7a#1Yx3MV1uyoBJ(0yC5UudwND)S|$r7b|)^bkAi&O!cgD;EdntAw?dy- zq(3vL6~8uWr#0{6H0~GF?Gt+6Cm`1cga0@DvOQ3l4nf&wiFZ}+RPt5T(p6L=6%;>8 z$eRnw=m#Ql;qyf9nUAEC3 zHc=f`|MJ-OfA;@++5Hzzv7Miy`@=pDMa7SPP8f^(GX5VD|3m!$7s(UxDdYc0NFGkg zt4%2?O(`l#DJuTQ*TSOw;*yf`^6J{^hQ@C#txetC9RmZsKSqaUe)g>`v>Yv$T(4){ z@8{kgH(ef2oE)tj9_}5Voa~=o?w(#9o?Tu1y1M%P`_J{Co12^a`}>E7hsVdqr>7?* z@)3!=|DQY{|0~@gkvIQC`rqZx&(Hrm^?&RB53T=)rvK6T|Chl(V@xEV7>i1-F7JB? 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zzYJ`@4OA8Zkp7>2!NM%WLI_X+A*qy2BhN#F7h)!Wz`T?edxhh%^jF@2HQ)6;vWo}e& IM`>mNJ5js$3jhEB literal 0 HcmV?d00001 diff --git a/pyro_webppl/physics_example.py b/pyro_webppl/physics_example.py new file mode 100644 index 0000000..0da757d --- /dev/null +++ b/pyro_webppl/physics_example.py @@ -0,0 +1,228 @@ +import matplotlib.pyplot as plt +from matplotlib.patches import Rectangle +import numpy as np + +import pyro +import pyro.distributions as dist +import torch + +import sys; sys.path.append('..') +from pyro_webppl import viz + +# imports for physics example: +import pyglet +from pyglet.gl import * +from pyglet.window import key, mouse + +import pymunk +import pymunk.pyglet_util +from pymunk import Vec2d + +from copy import deepcopy +from pyro.infer import Importance, EmpiricalMarginal + + +class Block: + def __init__(self, width=None, height=None, x=0, y=0, is_first=False, is_static=False): + self.w = width + self.h = height + self.x = x + self.y = y + self.is_first = is_first + self.is_static = is_static + + if not self.w: + self.w = np.random.randint(50, 100) + if not self.h: + self.h = np.random.randint(50, 100) + +class Simulate: + def __init__(self, world=None, num_blocks=5, dims={}): + self.world = world + self.num_blocks = num_blocks + self.dims = dims + + vals = torch.tensor([1.0, 5.0, 10.0], dtype=torch.float) + log_probs = torch.log(torch.tensor([0.2, 0.6, 0.2], dtype=torch.float)) + noise_width = pyro.sample("noise_width", dist.Empirical(samples=vals, log_weights=log_probs)) + self.noise_width = float(noise_width.item()) + + # create the simulation world + self.create_world() + + def create_world(self): + # Create the simulation world + + self.space = pymunk.Space() + self.space.gravity = Vec2d(0.0, -200.0) + self.space.sleep_time_threshold = 1 + + # add the floor - other walls/bounds could be added here + static_lines = [ + pymunk.Segment(self.space.static_body, Vec2d(-self.dims["WORLD_WIDTH"], self.dims["FLOOR_HEIGHT"]), Vec2d(self.dims["WORLD_WIDTH"]*2, self.dims["FLOOR_HEIGHT"]), 1), + ] + + for l in static_lines: + l.friction = 0.3 + self.space.add(*static_lines) + + # create the blocks + if not self.world: + prev_block = self.add_block(None) + for idx in range(1, self.num_blocks): + next_block = self.add_block(idx, prev_block=prev_block) + prev_block = next_block + + else: + for idx, item in enumerate(self.world): + self.add_block(idx, new_block=item) + + return 1 + + def add_block(self, idx, prev_block=None, new_block=None): + # function for creating and positioning blocks + + if new_block == None: + block = Block() + if prev_block == None: + block.is_first = True + block.x = int(self.dims["WORLD_WIDTH"]/2) + block.y = self.dims["FLOOR_HEIGHT"] + block.h/2 + + else: + block.x = np.random.randint(prev_block.x - prev_block.w/2, prev_block.x + prev_block.w/2) + block.y = prev_block.y + prev_block.h/2 + block.h/2 + + else: + block = deepcopy(new_block) + vals = torch.tensor(list(range(int(np.floor(block.x-self.noise_width/2)), int(np.ceil(block.x+self.noise_width/2))+1)), dtype=torch.float) + log_probs = torch.log(torch.ones(vals.size(), dtype=torch.float)) + Block_x = pyro.sample("Block_{}_x".format(idx), dist.Empirical(samples=vals, log_weights=log_probs)) + block.x = int(Block_x.item()) + + + # pymunk box coords are at Centre of Mass ! + mass = block.w*block.h/100 + moment = pymunk.moment_for_box(mass, (block.w, block.h)) + body = pymunk.Body(mass, moment) + body.position = Vec2d(block.x, block.y) + shape = pymunk.Poly.create_box(body, (block.w, block.h)) + shape.friction = 0.3 + shape.color = (np.random.randint(50,150), np.random.randint(50,150), np.random.randint(100,255), 255) + self.space.add(body, shape) + return block + + def update(self, dt): + # Here we use a very basic way to keep a set space.step dt. + # For a real game its probably best to do something more complicated. + step_dt = 1 / 250.0 + x = 0 + while x < dt: + x += step_dt + self.space.step(step_dt) + +class Animate(pyglet.window.Window): + # main class for animation + + def __init__(self, world=None, num_blocks=5, dims={}): + + self.world=world + self.num_blocks=num_blocks + self.dims=dims + + #set the window size + self.window = pyglet.window.Window.__init__(self, width=self.dims["WORLD_WIDTH"], height= self.dims["WORLD_HEIGHT"], vsync=False) + self.set_caption("2D Boxes") + + # sets how frequently self.update gets called once sim starts + pyglet.clock.schedule_interval(self.update, 1 / 60.0) + # display FPS + self.fps_display = pyglet.window.FPSDisplay(self) + + # create the simulation world + self.simulation = Simulate(self.world, self.num_blocks, self.dims) + self.simulation.create_world() + + # add draw options + self.draw_options = pymunk.pyglet_util.DrawOptions() + self.draw_options.flags = self.draw_options.DRAW_SHAPES + + # add some text + self.label = pyglet.text.Label('Hit R to reset', font_name='Times New Roman', font_size=16, x=10, y=self.dims["WORLD_HEIGHT"]-25) + + def update(self, dt): + self.simulation.update(dt) + + def on_key_press(self, symbol, modifiers): + + if symbol == key.R: + self.clear() + self.simulation = Simulate(self.world, self.num_blocks, dims=self.dims) + self.simulation.create_world() + + elif symbol == key.ESCAPE: + self.close() + pyglet.app.exit() + + elif symbol == pyglet.window.key.P: + pyglet.image.get_buffer_manager().get_color_buffer().save( + "box2d_vertical_stack.png" + ) + + def on_draw(self): + self.clear() + # self.fps_display.draw() + self.simulation.space.debug_draw(self.draw_options) + self.label.draw() + +def does_tower_fall(initial_w, final_w): + """ + Compare the final state of a tower to its initial state and determine whether or not it stayed standing. + """ + # here we compare the intial and final world states and see whether the highest block is roughly in the same place + def highest_y(w): + return max([b.y for b in w]) + + def approx_equal(a, b): + return (abs(a - b) < 1) + + return not approx_equal(highest_y(initial_w), highest_y(final_w)) + + +def run_simulation(world, dims): + """ + Run one iteration of a physics simulation for a given world. Returns the outcome of whether or not the tower was stable. + """ + initial_world = deepcopy(world) + simulation = Simulate(initial_world, dims=dims) + # probs want to make this a while loop that stops when everything stops moving + for i in range(1000): + simulation.update(1/60.0) + + final_world = [] + for body in simulation.space._bodies: + final_world.append(Block(x=body.position.x, y=body.position.y)) + + S = not does_tower_fall(initial_world, final_world) + return S + +def infer_physics(model, conditions: dict, sites: list, num_samples: int): + """ + Function to perform importance sampling on our physics model. Returns EmpiricalMarginal distribution. + """ + conditioned_model = pyro.condition(model, conditions) + importance = Importance(conditioned_model, guide=None, num_samples=num_samples) + trace_posterior_conditioned = importance.run() + emp_marginal = EmpiricalMarginal(trace_posterior=trace_posterior_conditioned, sites=sites) + return emp_marginal + +def draw_world(world: list, dims: dict, figsize=(4,6)): + fig, ax = plt.subplots(1, figsize=figsize) + for block in world: + # Rectangle((bottomleftx, bottomlefty), width, height) + ax.add_patch(Rectangle((block.x-block.w/2, block.y-block.h/2), block.w, block.h, linewidth=1, edgecolor='k')) + + ax.set_xlim(0, dims["WORLD_WIDTH"]) + ax.set_ylim(0, dims["WORLD_HEIGHT"]) + ax.axhline(dims["FLOOR_HEIGHT"], color='k') + plt.show() \ No newline at end of file

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