{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 25. Variational Bayesian inference\n", "\n", "*Heidi Klumpe contributed significantly to this lesson.*\n", "\n", "
\\n\"+\n", " \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n", " \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n", " \"
\\n\"+\n", " \"\\n\"+\n",
" \"from bokeh.resources import INLINE\\n\"+\n",
" \"output_notebook(resources=INLINE)\\n\"+\n",
" \"\\n\"+\n",
" \"\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"
\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"| lp__ | log_p__ | log_g__ | phi | gamma_ | sigma_0 | mu[1] | mu[2] | mu[3] | mu[4] | mu[5] | mu[6] | mu[7] | mu[8] | mu[9] | mu[10] | mu[11] | mu[12] | mu[13] | mu[14] | mu[15] | mu[16] | mu[17] | mu[18] | mu[19] | mu[20] | mu[21] | mu[22] | mu[23] | mu[24] | mu[25] | mu[26] | mu[27] | mu[28] | mu[29] | mu[30] | mu[31] | … | ell_ppc[164] | ell_ppc[165] | ell_ppc[166] | ell_ppc[167] | ell_ppc[168] | ell_ppc[169] | ell_ppc[170] | ell_ppc[171] | ell_ppc[172] | ell_ppc[173] | ell_ppc[174] | ell_ppc[175] | ell_ppc[176] | ell_ppc[177] | ell_ppc[178] | ell_ppc[179] | ell_ppc[180] | ell_ppc[181] | ell_ppc[182] | ell_ppc[183] | ell_ppc[184] | ell_ppc[185] | ell_ppc[186] | ell_ppc[187] | ell_ppc[188] | ell_ppc[189] | ell_ppc[190] | ell_ppc[191] | ell_ppc[192] | ell_ppc[193] | ell_ppc[194] | ell_ppc[195] | ell_ppc[196] | ell_ppc[197] | ell_ppc[198] | ell_ppc[199] | ell_ppc[200] |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | … | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 | f64 |
| 0.0 | -1835.7 | -0.331212 | 38.227 | 0.842629 | 0.113781 | 21.4108 | 22.1168 | 22.8631 | 23.8182 | 23.8182 | 24.1072 | 24.2215 | 24.3915 | 24.3915 | 24.3915 | 24.56 | 25.1095 | 25.1095 | 25.1095 | 25.2172 | 25.2172 | 25.3774 | 25.3774 | 25.4833 | 25.6407 | 25.6407 | 25.7964 | 25.7964 | 25.8994 | 25.8994 | 26.0524 | 26.0524 | 26.1535 | 26.3037 | 26.403 | 26.403 | … | 38.2483 | 43.1542 | 36.8225 | 44.6687 | 38.6655 | 44.027 | 41.5272 | 32.6999 | 24.6706 | 37.8338 | 36.9349 | 41.2051 | 44.2299 | 31.7005 | 42.7867 | 42.2848 | 43.1836 | 33.9228 | 41.9244 | 40.996 | 31.8709 | 35.849 | 37.397 | 38.2963 | 35.6625 | 38.7252 | 43.7003 | 42.1884 | 34.5169 | 36.3899 | 42.9012 | 39.4834 | 43.5096 | 34.064 | 43.2421 | 34.121 | 40.6432 |
| 0.0 | -1840.41 | -0.785308 | 39.1501 | 0.865228 | 0.112093 | 21.9749 | 22.6985 | 23.4632 | 24.4415 | 24.4415 | 24.7375 | 24.8546 | 25.0287 | 25.0287 | 25.0287 | 25.2012 | 25.7639 | 25.7639 | 25.7639 | 25.8741 | 25.8741 | 26.0381 | 26.0381 | 26.1465 | 26.3076 | 26.3076 | 26.467 | 26.467 | 26.5724 | 26.5724 | 26.729 | 26.729 | 26.8324 | 26.9862 | 27.0878 | 27.0878 | … | 44.8528 | 38.8592 | 40.2555 | 47.7231 | 40.8165 | 30.9545 | 34.2806 | 37.7542 | 37.4417 | 34.8077 | 37.1392 | 36.5394 | 29.1805 | 41.4704 | 39.7445 | 40.5452 | 39.1893 | 40.01 | 41.2436 | 34.443 | 39.7261 | 40.4521 | 41.0513 | 29.2142 | 42.0837 | 39.0003 | 48.0292 | 39.1756 | 28.6942 | 40.5889 | 42.452 | 41.2124 | 43.8919 | 29.0793 | 48.1099 | 34.2611 | 35.8589 |
| 0.0 | -1858.06 | -2.31351 | 40.2776 | 0.844027 | 0.123076 | 21.6262 | 22.3587 | 23.1358 | 24.1349 | 24.1349 | 24.4383 | 24.5585 | 24.7375 | 24.7375 | 24.7375 | 24.9149 | 25.495 | 25.495 | 25.495 | 25.6089 | 25.6089 | 25.7785 | 25.7785 | 25.8907 | 26.0577 | 26.0577 | 26.2231 | 26.2231 | 26.3325 | 26.3325 | 26.4953 | 26.4953 | 26.603 | 26.7631 | 26.869 | 26.869 | … | 42.3057 | 46.0865 | 45.6753 | 37.4586 | 41.1205 | 38.0462 | 42.2148 | 34.9582 | 47.5769 | 35.8423 | 40.7599 | 45.7058 | 48.779 | 44.3128 | 48.8098 | 35.7057 | 34.5446 | 37.2556 | 41.5195 | 42.7433 | 45.7598 | 29.7988 | 40.6122 | 51.1274 | 43.2444 | 47.429 | 46.3507 | 42.1029 | 34.7582 | 35.2856 | 37.0872 | 35.451 | 29.3246 | 37.8917 | 44.5176 | 46.6073 | 38.6007 |
| 0.0 | -1852.57 | -2.25062 | 37.6107 | 0.823538 | 0.120399 | 20.95 | 21.6435 | 22.3767 | 23.3158 | 23.3158 | 23.6001 | 23.7126 | 23.8799 | 23.8799 | 23.8799 | 24.0457 | 24.5867 | 24.5867 | 24.5867 | 24.6928 | 24.6928 | 24.8505 | 24.8505 | 24.9548 | 25.1098 | 25.1098 | 25.2633 | 25.2633 | 25.3647 | 25.3647 | 25.5155 | 25.5155 | 25.6152 | 25.7633 | 25.8611 | 25.8611 | … | 34.7001 | 33.7657 | 41.016 | 30.6929 | 31.1228 | 33.5226 | 42.1452 | 36.15 | 43.1601 | 40.1269 | 42.5085 | 40.002 | 43.9939 | 37.5753 | 38.0004 | 36.3048 | 40.0719 | 36.1017 | 39.0039 | 32.2246 | 45.6354 | 35.539 | 38.8681 | 37.8399 | 35.1457 | 42.5557 | 44.9505 | 39.6907 | 40.7962 | 37.7344 | 39.5881 | 33.1519 | 32.7614 | 29.6408 | 40.0122 | 42.1793 | 43.3586 |
| 0.0 | -1837.03 | -0.709175 | 38.3351 | 0.837112 | 0.112368 | 21.3053 | 22.0116 | 22.7586 | 23.7155 | 23.7155 | 24.0052 | 24.1198 | 24.2904 | 24.2904 | 24.2904 | 24.4594 | 25.011 | 25.011 | 25.011 | 25.1191 | 25.1191 | 25.2799 | 25.2799 | 25.3863 | 25.5444 | 25.5444 | 25.7009 | 25.7009 | 25.8043 | 25.8043 | 25.9581 | 25.9581 | 26.0598 | 26.2108 | 26.3107 | 26.3107 | … | 36.3895 | 38.4879 | 35.5521 | 38.4783 | 39.2572 | 42.3769 | 48.5354 | 39.8614 | 36.312 | 38.5278 | 38.7153 | 38.7268 | 39.7198 | 38.5268 | 37.7287 | 46.057 | 35.1441 | 46.7131 | 30.4929 | 37.2464 | 45.3229 | 36.6589 | 42.0863 | 37.3919 | 44.1494 | 38.8274 | 39.5048 | 42.607 | 40.1233 | 37.0054 | 37.1512 | 28.8405 | 32.4625 | 43.7155 | 41.5097 | 42.004 | 35.4243 |
| \n", " | lp__ | \n", "log_p__ | \n", "log_g__ | \n", "phi | \n", "gamma_ | \n", "sigma_0 | \n", "mu[1] | \n", "mu[2] | \n", "mu[3] | \n", "mu[4] | \n", "... | \n", "ell_ppc[191] | \n", "ell_ppc[192] | \n", "ell_ppc[193] | \n", "ell_ppc[194] | \n", "ell_ppc[195] | \n", "ell_ppc[196] | \n", "ell_ppc[197] | \n", "ell_ppc[198] | \n", "ell_ppc[199] | \n", "ell_ppc[200] | \n", "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", "0.0 | \n", "0.0 | \n", "0.0 | \n", "38.4521 | \n", "0.853254 | \n", "0.116228 | \n", "21.6552 | \n", "22.3666 | \n", "23.1182 | \n", "24.0794 | \n", "... | \n", "44.4477 | \n", "37.673 | \n", "31.7122 | \n", "42.1776 | \n", "35.381 | \n", "37.9442 | \n", "34.6642 | \n", "46.0142 | \n", "39.2081 | \n", "38.4419 | \n", "
1 rows × 1546 columns
\n", "