From 235955af6e76d7673a2f0b4a1a7fbda7daccd17b Mon Sep 17 00:00:00 2001 From: springcoil Date: Wed, 9 Aug 2017 15:45:25 +0100 Subject: [PATCH] DOCS - Adding docs explaining the behaviour of logp Running all cells --- docs/source/notebooks/api_quickstart.ipynb | 445 ++++++++++++++------- 1 file changed, 291 insertions(+), 154 deletions(-) diff --git a/docs/source/notebooks/api_quickstart.ipynb b/docs/source/notebooks/api_quickstart.ipynb index e0a07073f7..58413a67fa 100644 --- a/docs/source/notebooks/api_quickstart.ipynb +++ b/docs/source/notebooks/api_quickstart.ipynb @@ -70,7 +70,9 @@ { "cell_type": "code", "execution_count": 4, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -90,7 +92,9 @@ { "cell_type": "code", "execution_count": 5, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -110,7 +114,9 @@ { "cell_type": "code", "execution_count": 6, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -130,12 +136,14 @@ { "cell_type": "code", "execution_count": 7, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "array(-130.93385991219947)" + "array(-135.1902745717962)" ] }, "execution_count": 7, @@ -151,15 +159,53 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## 2. Probability Distributions\n", + "**Warning**\n", + "It's worth highlighting one of the counter-intuitive design choices with logp. \n", + "The API makes the `logp` look like an attribute, when it actually puts together a function based on the current state of the model. \n", "\n", - "Every probabilistic program consists of observed and unobserved Random Variables (RVs). Observed RVs are defined via likelihood distributions, while unobserved RVs are defined via prior distributions. In PyMC3, probability distributions are available from the main module space:" + "The current design is super maintainable, does terrible if the state stays constant, and great if the state keeps changing, for reasons of design we assume that `Model` isn't static, in fact it's best in our experience and avoids bad results. \n", + "\n", + "If you need to use `logp` in an inner loop and it needs to be static, simply use something like `logp = model.logp` below. You can see the caching effect with the speed up below. " ] }, { "cell_type": "code", "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The slowest run took 4.45 times longer than the fastest. This could mean that an intermediate result is being cached.\n", + "10000 loops, best of 3: 35 µs per loop\n", + "10000 loops, best of 3: 26.6 µs per loop\n" + ] + } + ], + "source": [ + "%timeit model.logp({mu: 0.1})\n", + "logp = model.logp\n", + "%timeit logp({mu: 0.1})" + ] + }, + { + "cell_type": "markdown", "metadata": {}, + "source": [ + "## 2. Probability Distributions\n", + "\n", + "Every probabilistic program consists of observed and unobserved Random Variables (RVs). Observed RVs are defined via likelihood distributions, while unobserved RVs are defined via prior distributions. In PyMC3, probability distributions are available from the main module space:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stdout", @@ -267,8 +313,10 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": {}, + "execution_count": 10, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -291,12 +339,13 @@ " 'draw_values',\n", " 'generate_samples',\n", " 'get_tau_sd',\n", + " 'get_variable_name',\n", " 'logsumexp',\n", " 'np',\n", " 'tt']" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -321,7 +370,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "collapsed": true }, @@ -340,8 +389,10 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": {}, + "execution_count": 12, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -349,7 +400,7 @@ "array(-0.9189385332046727)" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -374,7 +425,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "collapsed": true }, @@ -407,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -431,7 +482,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -460,7 +511,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "collapsed": true }, @@ -479,8 +530,10 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": {}, + "execution_count": 17, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -488,7 +541,7 @@ "[x_interval__]" ] }, - "execution_count": 16, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -506,8 +559,10 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": {}, + "execution_count": 18, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -515,7 +570,7 @@ "[x]" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -535,8 +590,10 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": {}, + "execution_count": 19, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stdout", @@ -564,7 +621,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": { "collapsed": true }, @@ -583,7 +640,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -602,7 +659,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -624,8 +681,10 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": {}, + "execution_count": 23, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -633,7 +692,7 @@ "array([ 0., 0., 0., 0., 0.])" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -647,16 +706,18 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": {}, + "execution_count": 24, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "array([ 0.51093099, 0.78646267, -1.02921232, 0.65820029, 0.70385385])" + "array([ 0.58550005, 0.19586392, -2.19206299, -1.15200385, 1.13329314])" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -690,8 +751,10 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": {}, + "execution_count": 25, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", @@ -699,10 +762,11 @@ "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", - "Average Loss = 143.54: 10%|█ | 20024/200000 [00:01<00:12, 14337.29it/s]\n", - "Convergence archived at 21000\n", - "Interrupted at 21,000 [10%]: Average Loss = 144.89\n", - "100%|██████████| 1500/1500 [00:00<00:00, 2730.61it/s]\n" + "WARNING (theano.configdefaults): install mkl with `conda install mkl-service`: No module named 'mkl'\n", + "Average Loss = 150.92: 3%|▎ | 6545/200000 [00:00<00:11, 16437.29it/s]\n", + "Convergence archived at 7400\n", + "Interrupted at 7,400 [3%]: Average Loss = 156.53\n", + "100%|██████████| 1500/1500 [00:00<00:00, 3027.54it/s]\n" ] } ], @@ -723,8 +787,10 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": {}, + "execution_count": 26, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -732,7 +798,7 @@ "1000" ] }, - "execution_count": 25, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -750,8 +816,10 @@ }, { "cell_type": "code", - "execution_count": 26, - "metadata": {}, + "execution_count": 27, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", @@ -759,10 +827,10 @@ "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", - "Average Loss = 142.41: 22%|██▏ | 44484/200000 [00:02<00:08, 18649.61it/s]\n", - "Convergence archived at 46000\n", - "Interrupted at 46,000 [23%]: Average Loss = 143.02\n", - "100%|██████████| 1000/1000 [00:01<00:00, 928.24it/s]\n" + "Average Loss = 150.53: 4%|▍ | 8386/200000 [00:00<00:11, 16710.37it/s]\n", + "Convergence archived at 9900\n", + "Interrupted at 9,900 [4%]: Average Loss = 155.52\n", + "100%|██████████| 1000/1000 [00:00<00:00, 1462.08it/s]\n" ] } ], @@ -783,8 +851,10 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": {}, + "execution_count": 28, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -792,7 +862,7 @@ "(2000,)" ] }, - "execution_count": 27, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -803,8 +873,10 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": {}, + "execution_count": 29, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -812,7 +884,7 @@ "4" ] }, - "execution_count": 28, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -823,8 +895,10 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": {}, + "execution_count": 30, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -832,7 +906,7 @@ "(500,)" ] }, - "execution_count": 29, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -850,8 +924,10 @@ }, { "cell_type": "code", - "execution_count": 30, - "metadata": {}, + "execution_count": 31, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -874,7 +950,7 @@ " 'Slice']" ] }, - "execution_count": 30, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -894,14 +970,16 @@ }, { "cell_type": "code", - "execution_count": 31, - "metadata": {}, + "execution_count": 32, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 1500/1500 [00:00<00:00, 9343.52it/s]\n" + "100%|██████████| 1500/1500 [00:00<00:00, 11347.22it/s]\n" ] } ], @@ -923,14 +1001,16 @@ }, { "cell_type": "code", - "execution_count": 32, - "metadata": {}, + "execution_count": 33, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 10500/10500 [00:11<00:00, 890.12it/s]\n" + "100%|██████████| 10500/10500 [00:09<00:00, 1125.34it/s]\n" ] } ], @@ -956,14 +1036,16 @@ }, { "cell_type": "code", - "execution_count": 33, - "metadata": {}, + "execution_count": 34, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { - "image/png": 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AgK5sswiDnzcbJdUrUQeBxKjYRC2PSsVBZg20SITNO0cb62RzFQK31WNUqTiY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dzelxUrVrBixYpOt91yyy2EQumBzqFQCLe7a4uOz+fj1ltvZdGiRdx4440AnHnmmR1xXHjhhX0m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\nia0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F1ee5TFns5gsebVMOg59O46VSeKkUjedVR3On4kufHekultRXR0ADIShaBkwK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\n9JMpKcO2DMVSUtTLgAdOY9AnIj2IF4okCoXgNSSkB4g4DuWa/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ZIlvPDCC1NhT0gT+NUT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\n1Gs4jiSTcej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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -983,18 +1065,20 @@ }, { "cell_type": "code", - "execution_count": 34, - "metadata": {}, + "execution_count": 35, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "{'mu': 1.0003808153475398,\n", - " 'sd': 0.99997655090314819,\n", - " 'sd_log__': 0.9999720004991266}" + "{'mu': 1.0002705510318985,\n", + " 'sd': 0.99998336390229592,\n", + " 'sd_log__': 0.99998637638337262}" ] }, - "execution_count": 34, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -1012,14 +1096,16 @@ }, { "cell_type": "code", - "execution_count": 35, - "metadata": {}, + "execution_count": 36, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { - "image/png": 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Vm3sy2MsAAKBERkRNVRMbW6T33z+trCyf4uL8IR80AABUBURNkMTGFik2tiDYywAAwBi8\n9QYAABiBqHEIc2oAAHAXURMkzKkBAKBy8ZqaK1D+GTWSk3NqJGbVAABwQZWOmuo6n+Zi7s6q+e/t\nMKMGABBqqnTUhPIvVebUAADgriodNVUVc2oAAKh8RE2QMKcGAIDKxVtvAACAEYgahzCnBgAAd/H0\nUxBkZ3t5PQ0ABFF2tlfbtkmtWnm5HzYIUVNBFZtRI5U+p4YZNQDgtv++A1Xy+SKrxDtQUT5l/nbO\nzMzU2rVrdfbsWeXm5mrIkCFavXq1vvnmGz3xxBOaOnWq1q9fL0l67LHHdN9996l9+/YlXt8110TK\n5yt5tkz9+mXPXGnZUtq5s8yLGc/dGTXSxYHWooW0Y4eLN+2A8vxdq0pM2o9Je5HM209Vl5Xlk9/v\nkST5/R5lZfl444YhyvWQw6lTp/T666/rgw8+0JtvvqmlS5dq48aN+tOf/lThGzx6tOTZMuWdhbJ2\nbYVv1nUlzampijNqpMsfm9zcIC2mEpg2d8ek/Zi0F6lq7sf0CIuL88vnCw/cD8fF+YO9JFSSckXN\nrbfeKkmKjo5WkyZN5PF4VLt2beXn5xe7nG3blb9CwzCjBgCC68L98LZtV6lVq6rxD0uUT7mixuPx\nlHie3+/XqVOnVKNGDX377beVtjCTMaMGAIIrNrZIvXtLubkEjUl+9AuFhwwZoqSkJDVu3FiNGjWq\njDUBAABUmMd2+Tmj0p5brorPPZfGpP2YtBeJ/YQyk/YiVc39VPXX1JT3510Vj83lVLd9lPb3k+F7\nAADACESNQyxrmlJTU4O9DAAAqg2ixiHLly/T4sWLg70MAACqDaIGAAAYgagBAABGIGpclp3tVVpa\nuLKz+dEDAFCZ+EDLK1C+D7XcJ0m67rqSzv9xH2Z5AR9qCQDAeVUyajp3jtSuXSV/KGZ14u6HWl56\nO82bF2rdupI/zwsAALdUyaipKr9E/3eQUFX9MEvJnOFOAABzVcmoqQosa5oiI8M1fvzvA6fxYZYA\nADiHqHHI8uXL5PV6ikWNxIdZAgDgFN6CAwAAjEDUAAAAIxA1AADACEQNAAAwAlHjkM2bd2jv3r3B\nXgYAANUGUQMAAIxA1DjEsqYpNTU12MsAAKDaIGocsnz5Mi1evDjYywAAoNogagAAgBGIGgAAYASi\nBgAAGIGoAQAARiBqHMKcGgAA3EXUAAAAIxA1DrEs5tQAAOAmosYhzKkBAMBdRA0AADACUQMAAIxA\n1AAAACMQNQAAwAhEjUOYUwMAgLuIGgAAYASixiGWxZwaAADcRNQ4hDk1AAC4i6gBAABGIGoAAIAR\niBoAAGAEogYAABiBqHEIc2oAAHAXUQMAAIxA1DjEsphTAwCAm4gahzCnBgAAdxE1AADACEQNAAAw\nAlEDAACMQNQAAAAjEDUOYU4NAADuImoAAIARiBqHWBZzagAAcBNR4xDm1AAA4C6iBgAAGIGoAQAA\nRiBqAACAEYgaAABgBKLGIcypAQDAXUQNAAAwAlHjEMtiTg0AAG4iahzCnBoAANxF1AAAACMQNQAA\nwAhEDQAAMAJRAwAAjEDUOIQ5NQAAuIuoAQAARiBqHGJZzKkBAMBNRI1DmFMDAIC7iBoAAGAEogYA\nABiBqAEAAEYgagAAgBGIGocwpwYAAHcRNQAAwAhEjUMsizk1AAC4iahxCHNqAABwF1EDAACMQNQA\nAAAjEDUAAMAIRA0AADACUeMQ5tQAAOAuogYAABiBqHGIZTGnBgAANxE1DmFODQAA7iJqAACAEYga\nAABgBKIGAAAYgagBAABGIGocwpwaAADcRdQAAAAjEDUOsSzm1AAA4CaixiHMqQEAwF1EDQAAMAJR\nAwAAjEDUAAAAIxA1AADACESNQ5hTAwCAu4gaAABgBKLGIZbFnBoAANxE1DiEOTUAALiLqAEAAEYg\nagAAgBGIGgAAYASiBgAAGIGocQhzagAAcBdRAwAAjEDUOMSymFMDAICbiBqHMKcGAAB3ETUAAMAI\nRA0AADACUQMAAIxA1AAAACMQNQ5hTg0AAO4iagAAgBGIGodYFnNqAABwE1HjEObUAADgLqIGAAAY\ngagBAABGIGoAAIARiBoAAGAEosYhzKkBAMBdRA0AADACUeMQy2JODQAAbiJqHMKcGgAA3EXUAAAA\nIxA1AADACEQNAAAwAlEDAACMQNQ4hDk1AAC4i6gBAABGIGocYlnMqQEAwE1EjUOYUwMAgLuIGgAA\nYASiBgAAGIGoAQAARiBqAACAEYgahzCnBgAAdxE1AADACESNQyyLOTUAALiJqHEIc2oAAHAXUQMA\nAIxA1AAAACMQNQAAwAhEDQAAMAJR4xDm1AAA4C6iBgCuQHa2V2lp4crO5m4UCBW+YC/AVJY1TZGR\n4Ro//vfBXgqAckhOrqVPPrmSu8SIclwmWpLUvbtf77xz5gpuA0B5EDUOWb58mbxeD1EDOKRz50jt\n2hUW7GVUyCef+HTdddGOXX/z5oVat+60Y9cPhDqiBkCVFMxf3tnZXvXtGym/3yOfz9b7759WbGzR\nZS9bv360cnNPurxCoHoiagCggmJji/T++6eVleVTXJy/xKAB4C6iBgCuQGxskWJjC4K9DAAX4WX7\nAADACESNQ5hTAwCAu4gaALgCzKkBQg+vqXGIZTGnBqhKmFMDVH1EjUOYUwM4pyrOqJGcn1MjMasG\n1RtRA6DKCfYvbebUAKGJqAGACmJODRCaiBoAuALMqQFCDy/bBwAARiBqHMKcGgAA3FWpUdOxY8fK\nvDoAAIBy4zU1DrEs5tQApsrO9vIi4SouO9urbdukVq28HEODVChq/vWvfyk1NVU+n09hYWGaPXu2\nXnzxRX377be68cYbVVDAi+YuYE4NULVc2fC98gzekxi+F1r++5Z8yeeLLPUt+ahaKvR/cFZWllq0\naKFJkyYpOztbq1atUn5+vpYuXarvv/9eH330UZnXcc01kfL5Sh6aVb++s4Op3OL1eiSZsx/JrL1I\n7CeUlbaXli2lnTtdXEwlcnL4XosW0o4djly1cbKyfPL7z99H+/0eZWX5eCebISoUNf3799f8+fM1\nfPhwRUdHq3nz5mrVqpUkqVGjRmrYsGGZ13H0aMlDs0waUlVUZMvr9RizH5OOjcR+QllZe1m71sXF\nXEZFBu9J7h6b3NzKuR6TAvly4uL88vnCA8cwLs4f7CWhklTohcKrV69Wu3bttHDhQvXq1UuZmZna\nsmWLJCknJ0c5OTmOLBIAQsWFwXtTpuTztEUVdeEYzpwpjqFhKvRITcuWLTVx4kSlp6fL6/UqPT1d\nK1eu1IABA9SoUSNdc801Tq0TAEIGg/eqvtjYIvXuLeXmEjQmqVDUxMTEaMmSJcVOa9GiRaUuyBSb\nN+8w6ikBAABCHcP3AACAEYgah1jWNKWmpgZ7GQAAVBtEjUOWL1+mxYsXB3sZAABUG0QNAAAwAlED\nAACMQNQAQAVlZ3uVlhau7GzuQoFQwgdaAoD47CfABESNQ5hTAzirc+dI7dpV8ufIhSInP/tJkpo3\nL9S6dSV/FA1gOqIGQJUUrF/eofzZT0B1R9Q4xLKmKTIyXOPH/z7YSwFQiS58blBWlk9xcX4+NwgI\nIUSNQ5YvXyav10PUAAbis5+A0MRL9wEAgBGIGgAAYASiBgAAGIGoAQAARiBqHLJ58w7t3bs32MsA\nAKDaIGoAAIARiBqHWNY0paamBnsZAABUG0SNQ5YvX6bFixcHexkAAFQbRA0AADACUQMAAIxA1AAA\nACMQNQAAwAhEjUOYUwMAgLuIGgAAYASixiGWxZwaAADcRNQ4hDk1AAC4i6gBAABGIGoAAIARiBoA\nAGAEogYAABiBqHEIc2oAAHAXUQMAAIxA1DjEsphTAwCAm4gahzCnBgAAdxE1AADACEQNAAAwAlED\nAACMQNQAAAAjEDUOYU4NAADuImoAAIARiBqHWBZzagAAcBNR4xDm1AAA4C6iBgAAGIGoAQAARiBq\nAACAEYgaAABgBKLGIcypAQDAXUQNAAAwAlHjEMtiTg0AAG4iahzCnBoAANxF1AAAACMQNQAAwAhE\nDQAAMAJRAwAAjEDUOIQ5NQAAuIuoAQAARiBqHGJZzKkBAMBNRI1DmFMDAIC7iBoAAGAEogYAABiB\nqAEAAEYgagAAgBGIGocwpwYAAHcRNQAAwAhEjUMsizk1AAC4iahxCHNqAABwF1EDAACMQNQAAAAj\nEDUAAMAIRA0AADACUeMQ5tQAAOAuogYAABiBqHGIZTGnBgAANxE1DmFODQAA7iJqAACAEYgaAABg\nBKIGAAAYgagBAABG8Ni2bQd7EQAAAD8Wj9QAAAAjEDUAAMAIRA0AADACUQMAAIxA1AAAACMQNQAA\nwAhEDQAAMEJQo+bs2bN6+OGHlZycrBEjRujIkSOXXGbWrFlKSkpSYmKili5dGoRVlq6oqEhPPfWU\nkpKSlJKSon379hU7f+nSpbr33ns1cOBArV27NkirLL+y9vPmm29qwIABGjBggF566aUgrbJ8ytrL\nhcsMHz68Snz4aFn7+fTTTzVw4EANHDhQ06ZNU6iPoCprPwsWLNC9996rxMRErVq1KkirrJitW7cq\nJSXlktPXrFmjxMREJSUlheT9WHVgyrEpaR9vvPGG4uPjlZKSopSUFO3ZsycIqyvbuXPnNHHiRCUn\nJ6t///5avXp1sfN/9PGwg+j111+309LSbNu27ZUrV9pPP/10sfM3bNhgjx492rZt287Pz7e7d+9u\nHzt2zPV1luajjz6yn3zySdu2bfuLL76wR40aFTjv8OHDdkJCgp2fn2+fOHEi8HUoK20/+/fvt/v1\n62f7/X67sLDQTkpKsr/88stgLbVMpe3lgjlz5tj9+/e333nnHbeXV2Gl7efkyZN2fHy8/Z///Me2\nbdueN29e4OtQVdp+jh8/bnfp0sXOz8+3jx07Zt9xxx3BWma5zZs3z05ISLAHDBhQ7PSCgoLAfVd+\nfr5977332ocPHw7SKqsnU45NSfuwbdueMGGCvX379iCsqmKWLVtmW5Zl27ZtHzlyxO7SpUvgvMo4\nHkF9pGbz5s3q1KmTJKlz587asGFDsfPbtGmjGTNmBP5cWFgon8/n6hrLcvEeWrdurR07dgTO27Zt\nm9q0aaPw8HBFR0crJiZGu3btCtZSy6W0/Vx//fX64x//qLCwMHm9Xvn9fkVERARrqWUqbS+S9Je/\n/EUej0edO3cOxvIqrLT9fPHFF2ratKlmzZql5ORkXXvttapbt26wlloupe2nVq1aatSokc6cOaMz\nZ87I4/EEa5nlFhMTo/T09EtO3717t2JiYlS7dm2Fh4erXbt2ys7ODsIKqy9Tjk1J+5CknTt3at68\neRo0aJBee+01l1dWfr169dIjjzwS+HNYWFjg68o4Hq4VQkZGhhYuXFjstHr16ik6OlqSdNVVV+nk\nyZPFzo+IiFBERITOnTunSZMmKSkpSVdddZVbSy6XvLw8RUVFBf4cFhYmv98vn8+nvLy8wP6k83vM\ny8sLxjLLrbT91KhRQ3Xr1pVt25o9e7Zuu+02/fSnPw3iaktX2l6+/vprrVy5UmlpaXr55ZeDuMry\nK20/R48e1caNG7VixQpFRkZq8ODBat26dZU9PpLUsGFDxcfHq7CwUA899FCwllluPXv21IEDBy45\nvSreD5jGlGNT0j4kKT4+XsnJyYqKitLYsWO1du1ade3a1eUVlu3C7/C8vDyNGzdOjz76aOC8yjge\nrkXNhddhXGzs2LE6deqUJOnUqVO6+uqrL/m+48ePa9y4cbr99ttD8o4tKioqsAfp/OsELtwp/+95\np06dKnbAQlFp+5Gk/Px8/f73v9dVV12lqVOnBmOJ5VbaXlasWKGcnBwNHTpUBw8eVI0aNXTDDTeE\n9KM2pe2nTp06+vnPf6769etLkmJjY/Xll1+GdNSUtp9169bp8OHDgefbH3zwQbVt21atWrUKylp/\njKp4P1BdmHJsbNvW0KFDA2vv0qWL/vnPf4Zk1EjSoUOHNGbMGCUnJ6tPnz6B0yvjeAT16ae2bdvq\n008/lXT+Tqxdu3bFzj979qyGDRumxMREjRkzJhhLLFPbtm21bt06SdKWLVvUtGnTwHmtWrXS5s2b\nlZ+fr5NaF0dmAAACAElEQVQnT2r37t3Fzg9Fpe3Htm2NHj1azZo10/Tp04s9bBiKStvLE088oYyM\nDC1atEj9+vXTsGHDQjpopNL307JlS3399dc6cuSI/H6/tm7dqptvvjlYSy2X0vZTu3Zt1axZU+Hh\n4YqIiFB0dLROnDgRrKX+KE2aNNG+fft07NgxFRQUKDs7W23atAn2siBzjk1eXp4SEhJ06tQp2bat\njRs3qmXLlsFe1mX9+9//1gMPPKCJEyeqf//+xc6rjOMR1BeoDBo0SE8++aQGDRqkGjVqaM6cOZKk\n2bNnq1evXvrHP/6h7777ThkZGcrIyJAkzZgxQzfeeGMwl13MXXfdpfXr1+u+++6TbduaMWOG3njj\nDcXExKhbt25KSUlRcnKybNvWY489FtKvQZFK309RUZH+/ve/q6CgQJ999pkkafz48SF7J1DWsalq\nytrPhAkTNHz4cEnnn7cO9YAuaz9ZWVkaOHCgvF6v2rZtq44dOwZ7yRXy5z//WadPn1ZSUpImTZqk\nBx98ULZtKzExUQ0aNAj28qo1U47Nxft47LHHNGTIEIWHh6tDhw7q0qVLsJd3WXPnztWJEyf0yiuv\n6JVXXpF0/pmcM2fOVMrx8Nh2iL/vEwAAoBwYvgcAAIxA1AAAACMQNQAAwAhEDQAAMAJRAwAAjEDU\nAAAAIxA1AADACP8PeI33dAFAadcAAAAASUVORK5CYII=\n", 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A4FMsG/19+OGHSkpKKo6bBgAAOCdGcCyxefNXKlMmXJUrVzUdBbiksdFf6ZKe\n7tGWLVKtWh6Ol2UuuOAcO3ZMo0aN0q5du+TxeFSjRg2NHz9eKSkpevfddxUdHa2rr766OLKiEPfe\nm8TZxIFicv6b/EkXutEfm/yZk57uUfv2YcrJkQICwnhbv2UuuOCsWLFCx44d05IlS5Sbm6tx48Yp\nNTVVy5cv1+LFixUSEqKBAwee122VKROmgAD3bsBVvnzRb7xVXAYNOvmcl6bMp5C5ZFyqmWvWlLZt\nK4IwxaS4NvmTpBo1pG++Off1SuPPRlFYty5AOTl+kqScHD+tWxfAO+AscsEFp169evrHP/6hpKQk\nxcXFqVevXpo/f75atGghr9crSUpISFBqauo5b+vgQffusFnaFuzec8/fS11mqfQ9zxKZS0pRZV69\nugjCnCc3bvS3f3/hlxf2PNtefOLichQQEJR/vOLickxHQhG64IJz1VVXacWKFdqwYYO++OIL3XPP\nPQoKClK7du3yr+Pv795RGQAoLmz0V7rExuZp6dJMbdkSrlq1zJdRFK0LLjhvvPGGNm3apKefflqN\nGjXSr7/+qkqVKundd99Vnz595PV6tWTJkuLIikI89dR4hYUF64EHRpiOAlzS2OivdImNzVObNtL+\n/ZQb21xwwenQoYO+/PJL3XHHHQoNDVXFihWVlJSkoKAgJSQkKDIyUtWrV9fBgweLIy/OYuHCBfJ4\n/Cg4AADoIgpOWFiYpk+fftrXk5OTlZycXCShcOHS0hYrJsZrOgYAAK7APjiWuPba60rlQlIAAIpD\nsexkDAAAYBIFxxKNGtVXjRo1TMcAAMAVmKKyROXKVysoiMMJAIBEwbHG66+nsQYHcAHORQW4AwUH\nAM7D+Z+PinNRAW5AwbHE6tWrFB0dpjp1GpqOArhG48Zh2r7d3TurF8e5qKpXz9Xate49FQ5QEig4\nlhg27AHOJg78QUn/knfjuaiASxUFxxJDh45QRESI6RjAJY1zUQHuQcGxRGJiEouMARfgXFSAO7AP\nDgAAsA4FxxLDhj2o/v37m44BAIArUHAssXr1Sn344YemYwAA4AqswbHEqlWfqly5COXkmE4CAIB5\njOBYIjq6jMqUKWM6BgAArsAIjiWOHz+u48c5nAAASIzgWOPWW/+qG264wXQMAABcgT/5LREXd6tC\nQgJNxwAAwBUoOJZISZnFRn8AAPgwRQUAAKzDCI4l3n57gSIjQ9WiRTvTUQAAMI6CY4mJE8fL4/Gj\n4AAAIAps2CNFAAAK8UlEQVSONSZMmKyoqFDTMQAAcAUKjiXatGnLImMAAHxYZAwAAKxDwbFEnz49\n1blzZ9MxAABwBaaoLLF589fy9/czHQMAAFdgBMcS6elbtHPnTtMxAABwBQoOAACwDlNUlvj55z3K\nyvIqODjKdBQAAIyj4FiiXbtW8nj8tHHjVtNRAAAwjoJjifj4OxUWFmQ6BgAArkDBscTjjz/JRn8A\nAPiwyBgAAFiHERxLzJnzvLzeEHXvfo/pKAAAGEfBscSsWc/J4/Gj4AAAIAqONWbOfFFlyoSZjgEA\ngCtQcCzRoMHfWGQMAIAPi4wBAIB1KDiW6NixrZo2bWo6BgAArsAUlSUyM48pIMDfdAwAAFyBgmOJ\njz76hDU4AAD4MEUFAACswwiOJbZu3aKYmHBdeWUV01EAADCOgmOJ3r0TOZs4AAA+FBxL9Ox5j8LD\ng03HAADAFSg4lnjggaEsMgYAwIdFxgAAwDqM4Fhi8uQnFR4erEGDhpmOAgCAcYzgWGLBgjf1yiuv\nmI4BAIArMIJjifnzFykmJtx0DAAAXIGCY4nrr6/KImMAAHyYogIAANah4FiiSZOGqlWrlukYAAC4\nAlNUlrjiiisUFMThBABAouBY480332YNDgAAPkxRAQAA6zCCY4k1a1YrOjpMN9/cwHQUAACMo+BY\nYsiQ+zmbOAAAPhQcSzz44DBFRISYjgEAgCtQcCyRlNSbRcYAAPiwyBgAAFiHgmOJESOGaODAgaZj\nAADgChQcS6xcuVzvvfee6RgAALgCa3AssXz5GpUr55XjmE4CAIB5jOBYomzZsipXrpzpGAAAuAIF\nxxLZ2dnKzs42HQMAAFeg4FiiYcO6qlq1qukYAAC4AmtwLNGgQUOFhASajgEAgCtQcCwxc+YcNvoD\nAMCHKSoAAGAdRnAssXjx24qMDNXtt99hOgoAAMZRcCzxxBPjfGcTp+AAAEDBscTjj09UVFSo6RgA\nALgCBccS8fHtWWQMAIAPi4wBAIB1KDiWSE7urW7dupmOAQCAKzBFZYlNm9Ll8fiZjgEAgCv4OQ7n\nnwYAAHZhigoAAFiHggMAAKxDwQEAANah4AAAAOtQcAAAgHUoOAAAwDoUHAAAYB0Kjs9vv/2m+++/\nX4mJierXr58OHDhw2nUmT56srl27KiEhQQsWLDCQ8qS8vDyNHTtWXbt2VVJSknbt2lXg8gULFuiu\nu+5Sly5dtHr1akMpCzpX5nnz5qlz587q3Lmz/vnPfxpKWdC5Mp+6Tt++ffXmm28aSHi6c2Ves2aN\nunTpoi5duuixxx6TG7bBOlfmuXPn6q677lJCQoJWrFhhKOXpNm/erKSkpNO+/vHHHyshIUFdu3Y1\n+jpxJmfLvGzZMnXu3FndunXT2LFjlZeXZyBdySmNx+5MzvY4Xn75ZbVt21ZJSUlKSkrSzp07DaQ7\ntxMnTmj48OFKTExUp06dtGrVqgKX/+nj4cBxHMd56aWXnBkzZjiO4zjLli1znnjiiQKXr1+/3hkw\nYIDjOI6TlZXlNG/e3Dl06FCJ53Qcx/noo4+cESNGOI7jOF999ZXTv3///Mv27dvnxMfHO1lZWc6R\nI0fyPzatsMy7d+92Onbs6OTk5Di5ublO165dnW+//dZU1HyFZT5l2rRpTqdOnZw33nijpOOdUWGZ\njx496rRt29b59ddfHcdxnNmzZ+d/bFJhmQ8fPuw0adLEycrKcg4dOuTcdtttpmIWMHv2bCc+Pt7p\n3Llzga9nZ2fnvzZkZWU5d911l7Nv3z5DKQs6W+bjx487zZo1czIzMx3HcZyHHnrIWblypYmIJaI0\nHrszOdvjcBzHGTp0qLN161YDqS7MwoULnQkTJjiO4zgHDhxwmjRpkn9ZURwPRnB8Nm3apEaNGkmS\nGjdurPXr1xe4vE6dOpo4cWL+57m5uQoIMHOmi99nrV27tr755pv8y7Zs2aI6deooKChIERERqly5\nsrZv324k5+8Vlvnyyy/Xiy++KH9/f3k8HuXk5Cg4ONhU1HyFZZakDz/8UH5+fmrcuLGJeGdUWOav\nvvpKVatW1eTJk5WYmKhy5copJibGVNR8hWUODQ3VFVdcoePHj+v48ePy83PH6UgqV66slJSU076+\nY8cOVa5cWVFRUQoKClK9evWUnp5uIOHpzpY5KChI8+fPV2hoqCS55t9fcSmNx+5MzvY4JGnbtm2a\nPXu2unfvrhdeeKGEk52/1q1b64EHHsj/3N/fP//jojgel+S5qNLS0vTKK68U+FrZsmUVEREhSQoP\nD9fRo0cLXB4cHKzg4GCdOHFCI0eOVNeuXRUeHl5imX8vIyNDXq83/3N/f3/l5OQoICBAGRkZ+Y9D\nOvlYMjIyTMQsoLDMgYGBiomJkeM4mjJlim688Ub95S9/MZj2pMIyf//991q2bJlmzJih5557zmDK\nggrLfPDgQW3YsEGLFy9WWFiYevToodq1axt/rgvLLEkVK1ZU27ZtlZubq/vuu89UzAJatWqln376\n6bSvu/Xfn3T2zB6PR+XKlZMkpaamKjMzU7fccktJxysxpfHYncnZHocktW3bVomJifJ6vRo0aJBW\nr16tpk2blnDCczv1OzQjI0ODBw/Wgw8+mH9ZURyPS7LgnFrr8XuDBg3SsWPHJEnHjh1TZGTkad93\n+PBhDR48WPXr1zf6Quv1evOzSifXMJz6ZfDHy44dO1bgh8SUwjJLUlZWlh555BGFh4dr3LhxJiKe\nprDMixcv1t69e9WrVy/t2bNHgYGBuvLKK42P5hSWOTo6WjfddJPKly8vSYqNjdW3335rvOAUlnnt\n2rXat29f/tx8nz59VLduXdWqVctI1nNx67+/c8nLy9PUqVP1ww8/KCUlxTUjZSWptB67P3IcR716\n9crP3qRJE/3P//yPKwuOJP3yyy8aOHCgEhMT1a5du/yvF8XxYIrKp27dulqzZo2kky+q9erVK3D5\nb7/9pt69eyshIUEDBw40ETFf3bp1tXbtWknS119/rapVq+ZfVqtWLW3atElZWVk6evSoduzYUeBy\nUwrL7DiOBgwYoGrVqmn8+PEFhilNKizzww8/rLS0NKWmpqpjx47q3bu38XIjFZ65Zs2a+v7773Xg\nwAHl5ORo8+bNuu6660xFzVdY5qioKIWEhCgoKEjBwcGKiIjQkSNHTEU9pypVqmjXrl06dOiQsrOz\nlZ6erjp16piOdU5jx45VVlaWZs6cmT9VdakprcfujzIyMhQfH69jx47JcRxt2LBBNWvWNB3rjP7v\n//5P9957r4YPH65OnToVuKwojsclOYJzJt27d9eIESPUvXt3BQYGatq0aZKkKVOmqHXr1vrXv/6l\nH3/8UWlpaUpLS5MkTZw4UVdddVWJZ23RooU+//xzdevWTY7jaOLEiXr55ZdVuXJlNWvWTElJSUpM\nTJTjOHrooYdcMZ9eWOa8vDx9+eWXys7O1qeffipJGjJkiPEXl3M9z250rsxDhw5V3759JZ2c/3ZD\n+T1X5nXr1qlLly7yeDyqW7euK6dP3n33XWVmZqpr164aOXKk+vTpI8dxlJCQoAoVKpiOd0anMtes\nWVMLFy5UbGysevXqJUnq2bO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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1039,14 +1125,16 @@ }, { "cell_type": "code", - "execution_count": 36, - "metadata": {}, + "execution_count": 37, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { - "image/png": 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jovEJNpNQKNcHtxtKQPNeQPFc37RNd2wR3Yg+GX9Oub5ojnfOKfc26mKuFxEV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\n22/Oebt27aJ79+64u7vj5+dHREQEe/b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KANDmFNylz065h/irPyIvMw5iqSMc3PyhdJBDgPG8Tk/GCzwWL7LSk4rEgsc9/syUucRS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\nOyQIApYsWYiDBw9g8uSpCA1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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1066,8 +1154,10 @@ }, { "cell_type": "code", - "execution_count": 37, - "metadata": {}, + "execution_count": 38, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", @@ -1075,16 +1165,17 @@ "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", - "Average Loss = 0.056672: 100%|██████████| 200000/200000 [00:14<00:00, 13997.00it/s]\n", - "Finished [100%]: Average Loss = 0.054276\n", - "100%|██████████| 1000/1000 [00:06<00:00, 163.63it/s]\n" + "Average Loss = 0.031327: 3%|▎ | 5727/200000 [00:00<00:17, 11147.89it/s]\n", + "Convergence archived at 5900\n", + "Interrupted at 5,900 [2%]: Average Loss = 2.1251\n", + "100%|██████████| 1000/1000 [00:04<00:00, 204.65it/s]\n" ] }, { "data": { - "image/png": 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Nw+Daa7/HzTf/Er+/gLvv/h133PErzj33PPr7e7n99t8Ri8V43/v+/rDAvPnmn878BeDy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\n", 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Fq2axz1wKCxUKCmBgKMnjz42RSMwcmqXeDST1JPt6ypa5QiHWLglMseqMhWLU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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1117,15 +1208,17 @@ }, { "cell_type": "code", - "execution_count": 38, - "metadata": {}, + "execution_count": 39, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Average Loss = 146.58: 100%|██████████| 10000/10000 [00:00<00:00, 15134.18it/s]\n", - "Finished [100%]: Average Loss = 146.57\n" + "Average Loss = 163.67: 100%|██████████| 10000/10000 [00:00<00:00, 13061.46it/s]\n", + "Finished [100%]: Average Loss = 163.66\n" ] } ], @@ -1147,8 +1240,10 @@ }, { "cell_type": "code", - "execution_count": 39, - "metadata": {}, + "execution_count": 40, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -1156,7 +1251,7 @@ "" ] }, - "execution_count": 39, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -1174,15 +1269,17 @@ }, { "cell_type": "code", - "execution_count": 40, - "metadata": {}, + "execution_count": 41, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Average Loss = 0.00061705: 100%|██████████| 10000/10000 [00:02<00:00, 3763.84it/s]\n", - "Finished [100%]: Average Loss = 0.00090201\n" + "Average Loss = 0.0065215: 100%|██████████| 10000/10000 [00:03<00:00, 3021.17it/s]\n", + "Finished [100%]: Average Loss = 0.0063589\n" ] } ], @@ -1203,15 +1300,17 @@ }, { "cell_type": "code", - "execution_count": 41, - "metadata": {}, + "execution_count": 42, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Average Loss = 0.0016698: 100%|██████████| 10000/10000 [00:02<00:00, 3345.98it/s] \n", - "Finished [100%]: Average Loss = 0.001701\n" + "Average Loss = 0.010004: 100%|██████████| 10000/10000 [00:03<00:00, 3096.42it/s]\n", + "Finished [100%]: Average Loss = 0.010116\n" ] } ], @@ -1223,24 +1322,26 @@ }, { "cell_type": "code", - "execution_count": 42, - "metadata": {}, + "execution_count": 43, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 42, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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tNmySDYPVRIGphHxjCaeLU7AjsSv7ON+cXkW4WzsGtu7C4Dbd8FDV70tHROtQ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SwWC9OmzWDatBnXdf+HHnqYK1dqOXIkj6ysHezalcVzz/2QqKgYHn98cY8fwVtaWkJWViY7d26n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\nAABJRU5ErkJggg==\n", 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Ln8d3E3n+GDq9DksLJXcPnMDEgbc3GlQUk5PI57u+J7+yCF9HT54b/hCh3o1H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\nG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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1262,14 +1363,16 @@ }, { "cell_type": "code", - "execution_count": 43, - "metadata": {}, + "execution_count": 44, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 10000/10000 [00:53<00:00, 188.00it/s]\n" + "100%|██████████| 10000/10000 [01:00<00:00, 165.47it/s]\n" ] } ], @@ -1284,14 +1387,24 @@ }, { "cell_type": "code", - "execution_count": 44, - "metadata": {}, + "execution_count": 45, + "metadata": { + "collapsed": false + }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/peadarcoyle/anaconda/envs/pymc3_dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", + " y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n" + ] + }, { "data": { - "image/png": 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W4umnnz7r8a6uLtTW1sJms0Gn02Ht2rXYt28f9u/fj/Xr1wMANmzYgHfffTf9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\n", 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YVMsXjCGRlPIawgBQXWGE2xdBUpLy+jpEpD4MYVKt82uE87M8SeaoMCKRlOANRPP6OkSk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\nMOi06c3780EQBDQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1322,8 +1435,10 @@ }, { "cell_type": "code", - "execution_count": 45, - "metadata": {}, + "execution_count": 46, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", @@ -1331,9 +1446,10 @@ "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", - "Average Loss = 141.37: 100%|██████████| 200000/200000 [00:15<00:00, 12799.60it/s]\n", - "Finished [100%]: Average Loss = 141.37\n", - "100%|██████████| 1000/1000 [00:00<00:00, 1963.58it/s]\n" + "Average Loss = 155.98: 6%|▌ | 12061/200000 [00:01<00:15, 11886.92it/s]\n", + "Convergence archived at 12100\n", + "Interrupted at 12,100 [6%]: Average Loss = 187.13\n", + "100%|██████████| 1000/1000 [00:00<00:00, 1703.97it/s]\n" ] } ], @@ -1349,14 +1465,16 @@ }, { "cell_type": "code", - "execution_count": 46, - "metadata": {}, + "execution_count": 47, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 500/500 [00:06<00:00, 73.82it/s]\n" + "100%|██████████| 500/500 [00:00<00:00, 2876.26it/s]\n" ] } ], @@ -1374,8 +1492,10 @@ }, { "cell_type": "code", - "execution_count": 47, - "metadata": {}, + "execution_count": 48, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -1383,7 +1503,7 @@ "(500, 100)" ] }, - "execution_count": 47, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -1394,24 +1514,34 @@ }, { "cell_type": "code", - "execution_count": 48, - "metadata": {}, + "execution_count": 49, + "metadata": { + "collapsed": false + }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/peadarcoyle/anaconda/envs/pymc3_dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", + " y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n" + ] + }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 48, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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3g4OtTriDUiHDqLQonOIewxQkeu0J63Q6AIDFYsHq1avx61//uvOYxWKBwWDo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\ngg==\n", 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Dq9VCLpcPyjxa3EUpzLDNsSES2zycXZQkbheaOmz4bHsbVAoZzjghB/H6/m7N4eyi1Ga2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\n1ODuy+dgDvcEJgoKuUyKX502AQKA1z7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1436,8 +1566,10 @@ }, { "cell_type": "code", - "execution_count": 49, - "metadata": {}, + "execution_count": 50, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", @@ -1445,10 +1577,10 @@ "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", - "Average Loss = 21.931: 7%|▋ | 14453/200000 [00:01<00:12, 15315.19it/s]\n", - "Convergence archived at 15000\n", - "Interrupted at 15,000 [7%]: Average Loss = 26.836\n", - "100%|██████████| 1000/1000 [00:00<00:00, 2842.64it/s]\n" + "Average Loss = 29.296: 5%|▍ | 9252/200000 [00:00<00:14, 13184.49it/s]\n", + "Convergence archived at 9500\n", + "Interrupted at 9,500 [4%]: Average Loss = 43.022\n", + "100%|██████████| 1000/1000 [00:00<00:00, 2538.10it/s]\n" ] } ], @@ -1477,14 +1609,16 @@ }, { "cell_type": "code", - "execution_count": 50, - "metadata": {}, + "execution_count": 51, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 500/500 [00:02<00:00, 178.87it/s]\n" + "100%|██████████| 500/500 [00:00<00:00, 802.20it/s]\n" ] } ], @@ -1498,16 +1632,18 @@ }, { "cell_type": "code", - "execution_count": 51, - "metadata": {}, + "execution_count": 52, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "array([ 0.016, 0.474, 0.972])" + "array([ 0.014, 0.514, 0.97 ])" ] }, - "execution_count": 51, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1518,8 +1654,9 @@ } ], "metadata": { + "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" }, @@ -1533,7 +1670,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.1" + "version": "3.5.2" } }, "nbformat": 4,