1{ 2 "cells": [ 3 { 4 "cell_type": "markdown", 5 "metadata": {}, 6 "source": [ 7 "<a href=\"http://agrum.org\" target=\"blank\"><img src=\"http://agrum.gitlab.io/theme/img/logoAgrum.png\" align=\"left\" style=\"height:100px\"/></a><a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc/4.0/\"><img alt=\"Creative Commons License\" style=\"border-width:0\" src=\"https://i.creativecommons.org/l/by-nc/4.0/88x31.png\" /></a><br />This pyAgrum's notebook is licensed under a <a rel=\"license\" href=\"http://creativecommons.org/licenses/by-nc/4.0/\">Creative Commons Attribution-NonCommercial 4.0 International License</a>." 8 ] 9 }, 10 { 11 "cell_type": "code", 12 "execution_count": 1, 13 "metadata": { 14 "ExecuteTime": { 15 "end_time": "2019-02-25T15:54:16.593814Z", 16 "start_time": "2019-02-25T15:54:16.372439Z" 17 }, 18 "tags": [] 19 }, 20 "outputs": [], 21 "source": [ 22 "%matplotlib inline\n", 23 "from pylab import *\n", 24 "import matplotlib.pyplot as plt\n", 25 "\n", 26 "import os" 27 ] 28 }, 29 { 30 "cell_type": "markdown", 31 "metadata": {}, 32 "source": [ 33 "Initialisation\n", 34 "==============\n", 35 "\n", 36 "* importing pyAgrum\n", 37 "* importing pyAgrum.lib tools\n", 38 "* loading a BN" 39 ] 40 }, 41 { 42 "cell_type": "code", 43 "execution_count": 2, 44 "metadata": { 45 "ExecuteTime": { 46 "end_time": "2019-02-25T15:54:16.606445Z", 47 "start_time": "2019-02-25T15:54:16.596582Z" 48 }, 49 "tags": [] 50 }, 51 "outputs": [ 52 { 53 "data": { 54 "text/html": [ 55 "<table width='100%'><tr><th>Library</th><th>Version</th></tr><tr><td>OS</td><td>posix [darwin]</td></tr><tr><td>Python</td><td>3.9.6 (default, Jun 29 2021, 05:25:02) \n", 56 "[Clang 12.0.5 (clang-1205.0.22.9)]</td></tr><tr><td>IPython</td><td>7.26.0</td></tr><tr><td>MatPlotLib</td><td>3.4.2</td></tr><tr><td>Numpy</td><td>1.21.1</td></tr><tr><td>pyAgrum</td><td>0.21.0.9</td></tr></table><div align='right'><small>Thu Aug 05 08:29:53 2021 CEST</small></div>" 57 ], 58 "text/plain": [ 59 "<IPython.core.display.HTML object>" 60 ] 61 }, 62 "metadata": {}, 63 "output_type": "display_data" 64 } 65 ], 66 "source": [ 67 "import pyAgrum as gum\n", 68 "import pyAgrum.lib.notebook as gnb\n", 69 "gnb.configuration()" 70 ] 71 }, 72 { 73 "cell_type": "code", 74 "execution_count": 3, 75 "metadata": { 76 "ExecuteTime": { 77 "end_time": "2019-02-25T15:54:18.806324Z", 78 "start_time": "2019-02-25T15:54:16.608120Z" 79 }, 80 "tags": [] 81 }, 82 "outputs": [ 83 { 84 "data": { 85 "image/svg+xml": [ 86 "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"648pt\" height=\"431pt\" viewBox=\"0.00 0.00 648.00 431.50\">\n", 87 "<g id=\"graph0\" class=\"graph\" transform=\"scale(0.56 0.56) rotate(0) translate(4 760)\">\n", 88 "<title>G</title>\n", 89 "<!-- PVSAT -->\n", 90 "<g id=\"node1\" class=\"node\">\n", 91 "<title>PVSAT</title>\n", 92 "<g id=\"a_node1\"><a xlink:title=\"(27) PVSAT\">\n", 93 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"611.1\" cy=\"-378\" rx=\"38.19\" ry=\"18\"/>\n", 94 "<text text-anchor=\"middle\" x=\"611.1\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">PVSAT</text>\n", 95 "</a>\n", 96 "</g>\n", 97 "</g>\n", 98 "<!-- SAO2 -->\n", 99 "<g id=\"node6\" class=\"node\">\n", 100 "<title>SAO2</title>\n", 101 "<g id=\"a_node6\"><a xlink:title=\"(28) SAO2\">\n", 102 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"611.1\" cy=\"-306\" rx=\"33.6\" ry=\"18\"/>\n", 103 "<text text-anchor=\"middle\" x=\"611.1\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">SAO2</text>\n", 104 "</a>\n", 105 "</g>\n", 106 "</g>\n", 107 "<!-- PVSAT->SAO2 -->\n", 108 "<g id=\"edge14\" class=\"edge\">\n", 109 "<title>PVSAT->SAO2</title>\n", 110 "<g id=\"a_edge14\"><a xlink:title=\"(27, 28) : \">\n", 111 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M611.1,-359.7C611.1,-351.98 611.1,-342.71 611.1,-334.11\"/>\n", 112 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"614.6,-334.1 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233 "<!-- HR -->\n", 234 "<g id=\"node19\" class=\"node\">\n", 235 "<title>HR</title>\n", 236 "<g id=\"a_node19\"><a xlink:title=\"(31) HR\">\n", 237 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"699.1\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n", 238 "<text text-anchor=\"middle\" x=\"699.1\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">HR</text>\n", 239 "</a>\n", 240 "</g>\n", 241 "</g>\n", 242 "<!-- CATECHOL->HR -->\n", 243 "<g id=\"edge45\" class=\"edge\">\n", 244 "<title>CATECHOL->HR</title>\n", 245 "<g id=\"a_edge45\"><a xlink:title=\"(30, 31) : \">\n", 246 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M631.51,-216.76C644.29,-206.6 660.84,-193.43 674.37,-182.67\"/>\n", 247 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"676.69,-185.3 682.34,-176.33 672.33,-179.82 676.69,-185.3\"/>\n", 248 "</a>\n", 249 "</g>\n", 250 "</g>\n", 251 "<!-- HISTORY -->\n", 252 "<g id=\"node8\" class=\"node\">\n", 253 "<title>HISTORY</title>\n", 254 "<g id=\"a_node8\"><a 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ry=\"18\"/>\n", 409 "<text text-anchor=\"middle\" x=\"851.1\" y=\"-590.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">KINKEDTUBE</text>\n", 410 "</a>\n", 411 "</g>\n", 412 "</g>\n", 413 "<!-- KINKEDTUBE->PRESS -->\n", 414 "<g id=\"edge44\" class=\"edge\">\n", 415 "<title>KINKEDTUBE->PRESS</title>\n", 416 "<g id=\"a_edge44\"><a xlink:title=\"(0, 24) : \">\n", 417 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M871.74,-576.76C884.16,-567 900.09,-554.46 913.45,-543.96\"/>\n", 418 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"915.69,-546.65 921.39,-537.72 911.36,-541.15 915.69,-546.65\"/>\n", 419 "</a>\n", 420 "</g>\n", 421 "</g>\n", 422 "<!-- KINKEDTUBE->VENTLUNG -->\n", 423 "<g id=\"edge32\" class=\"edge\">\n", 424 "<title>KINKEDTUBE->VENTLUNG</title>\n", 425 "<g id=\"a_edge32\"><a xlink:title=\"(0, 22) : \">\n", 426 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M844.56,-576.05C841.52,-568.18 837.83,-558.62 834.43,-549.79\"/>\n", 427 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"837.62,-548.35 830.76,-540.28 831.09,-550.86 837.62,-548.35\"/>\n", 428 "</a>\n", 429 "</g>\n", 430 "</g>\n", 431 "<!-- ERRCAUTER -->\n", 432 "<g id=\"node13\" class=\"node\">\n", 433 "<title>ERRCAUTER</title>\n", 434 "<g id=\"a_node13\"><a xlink:title=\"(7) ERRCAUTER\">\n", 435 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"809.1\" cy=\"-162\" rx=\"64.99\" ry=\"18\"/>\n", 436 "<text text-anchor=\"middle\" x=\"809.1\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">ERRCAUTER</text>\n", 437 "</a>\n", 438 "</g>\n", 439 "</g>\n", 440 "<!-- HRSAT -->\n", 441 "<g id=\"node21\" class=\"node\">\n", 442 "<title>HRSAT</title>\n", 443 "<g id=\"a_node21\"><a xlink:title=\"(33) HRSAT\">\n", 444 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"806.1\" cy=\"-90\" rx=\"39.79\" ry=\"18\"/>\n", 445 "<text text-anchor=\"middle\" x=\"806.1\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">HRSAT</text>\n", 446 "</a>\n", 447 "</g>\n", 448 "</g>\n", 449 "<!-- ERRCAUTER->HRSAT -->\n", 450 "<g id=\"edge38\" class=\"edge\">\n", 451 "<title>ERRCAUTER->HRSAT</title>\n", 452 "<g id=\"a_edge38\"><a xlink:title=\"(7, 33) : \">\n", 453 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M808.36,-143.7C808.02,-135.98 807.63,-126.71 807.26,-118.11\"/>\n", 454 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"810.76,-117.95 806.83,-108.1 803.76,-118.25 810.76,-117.95\"/>\n", 455 "</a>\n", 456 "</g>\n", 457 "</g>\n", 458 "<!-- HREKG -->\n", 459 "<g id=\"node37\" class=\"node\">\n", 460 "<title>HREKG</title>\n", 461 "<g id=\"a_node37\"><a xlink:title=\"(35) HREKG\">\n", 462 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"701.1\" cy=\"-90\" rx=\"42.49\" ry=\"18\"/>\n", 463 "<text text-anchor=\"middle\" x=\"701.1\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">HREKG</text>\n", 464 "</a>\n", 465 "</g>\n", 466 "</g>\n", 467 "<!-- ERRCAUTER->HREKG -->\n", 468 "<g id=\"edge5\" class=\"edge\">\n", 469 "<title>ERRCAUTER->HREKG</title>\n", 470 "<g id=\"a_edge5\"><a xlink:title=\"(7, 35) : \">\n", 471 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M784.86,-145.29C769.18,-135.13 748.64,-121.82 731.82,-110.91\"/>\n", 472 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"733.71,-107.97 723.41,-105.46 729.9,-113.84 733.71,-107.97\"/>\n", 473 "</a>\n", 474 "</g>\n", 475 "</g>\n", 476 "<!-- VENTLUNG->EXPCO2 -->\n", 477 "<g id=\"edge11\" class=\"edge\">\n", 478 "<title>VENTLUNG->EXPCO2</title>\n", 479 "<g id=\"a_edge11\"><a xlink:title=\"(22, 29) : \">\n", 480 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M846.49,-505.06C857.66,-495.69 870.05,-482.8 876.1,-468 895.08,-421.54 867.88,-364.38 848.23,-332.18\"/>\n", 481 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"850.99,-329.99 842.69,-323.41 845.07,-333.73 850.99,-329.99\"/>\n", 482 "</a>\n", 483 "</g>\n", 484 "</g>\n", 485 "<!-- VENTLUNG->MINVOL -->\n", 486 "<g id=\"edge8\" class=\"edge\">\n", 487 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stroke=\"#4a4a4a\" points=\"218.03,-27.34 207.44,-27.29 215.69,-33.94 218.03,-27.34\"/>\n", 527 "</a>\n", 528 "</g>\n", 529 "</g>\n", 530 "<!-- HRBP -->\n", 531 "<g id=\"node18\" class=\"node\">\n", 532 "<title>HRBP</title>\n", 533 "<g id=\"a_node18\"><a xlink:title=\"(32) HRBP\">\n", 534 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"587.1\" cy=\"-90\" rx=\"34.39\" ry=\"18\"/>\n", 535 "<text text-anchor=\"middle\" x=\"587.1\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">HRBP</text>\n", 536 "</a>\n", 537 "</g>\n", 538 "</g>\n", 539 "<!-- HR->CO -->\n", 540 "<g id=\"edge25\" class=\"edge\">\n", 541 "<title>HR->CO</title>\n", 542 "<g id=\"a_edge25\"><a xlink:title=\"(31, 34) : \">\n", 543 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M678.52,-150.18C673.57,-147.89 668.23,-145.66 663.1,-144 577.58,-116.28 472.49,-101.3 417.92,-94.88\"/>\n", 544 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"418.04,-91.37 407.7,-93.71 417.24,-98.32 418.04,-91.37\"/>\n", 545 "</a>\n", 546 "</g>\n", 547 "</g>\n", 548 "<!-- HR->HRBP -->\n", 549 "<g id=\"edge7\" class=\"edge\">\n", 550 "<title>HR->HRBP</title>\n", 551 "<g id=\"a_edge7\"><a xlink:title=\"(31, 32) : \">\n", 552 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M680.1,-149.13C662.89,-138.37 637.24,-122.34 617.23,-109.83\"/>\n", 553 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"618.82,-106.7 608.49,-104.37 615.11,-112.64 618.82,-106.7\"/>\n", 554 "</a>\n", 555 "</g>\n", 556 "</g>\n", 557 "<!-- HR->HRSAT -->\n", 558 "<g id=\"edge40\" class=\"edge\">\n", 559 "<title>HR->HRSAT</title>\n", 560 "<g id=\"a_edge40\"><a xlink:title=\"(31, 33) : \">\n", 561 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M717.74,-148.81C733.76,-138.32 757.17,-123.01 775.87,-110.77\"/>\n", 562 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"777.9,-113.63 784.36,-105.22 774.07,-107.77 777.9,-113.63\"/>\n", 563 "</a>\n", 564 "</g>\n", 565 "</g>\n", 566 "<!-- HR->HREKG -->\n", 567 "<g 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cy=\"-162\" rx=\"85.29\" ry=\"18\"/>\n", 607 "<text text-anchor=\"middle\" x=\"381.1\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">STROKEVOLUME</text>\n", 608 "</a>\n", 609 "</g>\n", 610 "</g>\n", 611 "<!-- STROKEVOLUME->CO -->\n", 612 "<g id=\"edge37\" class=\"edge\">\n", 613 "<title>STROKEVOLUME->CO</title>\n", 614 "<g id=\"a_edge37\"><a xlink:title=\"(13, 34) : \">\n", 615 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M381.1,-143.7C381.1,-135.98 381.1,-126.71 381.1,-118.11\"/>\n", 616 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"384.6,-118.1 381.1,-108.1 377.6,-118.1 384.6,-118.1\"/>\n", 617 "</a>\n", 618 "</g>\n", 619 "</g>\n", 620 "<!-- PAP -->\n", 621 "<g id=\"node25\" class=\"node\">\n", 622 "<title>PAP</title>\n", 623 "<g id=\"a_node25\"><a xlink:title=\"(12) PAP\">\n", 624 "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"481.1\" cy=\"-522\" rx=\"27\" ry=\"18\"/>\n", 625 "<text text-anchor=\"middle\" x=\"481.1\" y=\"-518.3\" 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"PULMEM|INTUBA||NORMAL |HIGH |\n", 899 "------|------||---------|---------|\n", 900 "TRUE |NORMAL|| 0.1000 | 0.9000 |\n", 901 "FALSE |NORMAL|| 0.9500 | 0.0500 |\n", 902 "TRUE |ESOPHA|| 0.1000 | 0.9000 |\n", 903 "FALSE |ESOPHA|| 0.9500 | 0.0500 |\n", 904 "TRUE |ONESID|| 0.0100 | 0.9900 |\n", 905 "FALSE |ONESID|| 0.0500 | 0.9500 |\n", 906 "\n" 907 ] 908 } 909 ], 910 "source": [ 911 "print(bn.cpt(bn.idFromName('SHUNT')))" 912 ] 913 }, 914 { 915 "cell_type": "code", 916 "execution_count": 6, 917 "metadata": { 918 "ExecuteTime": { 919 "end_time": "2019-02-25T15:54:18.833009Z", 920 "start_time": "2019-02-25T15:54:18.827736Z" 921 } 922 }, 923 "outputs": [ 924 { 925 "data": { 926 "text/html": [ 927 "<table style=\"border:1px solid black;\"><tr><th colspan='2'></th>\n", 928 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>SHUNT</center>\n", 929 " </th></tr><tr><th style='border:1px solid 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style='color:black;background-color:#85f864;text-align:right;'>0.950</td><td style='color:black;background-color:#f88564;text-align:right;'>0.050</td></tr><tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 933 " <center>ESOPHAGEAL</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>TRUE</center></th><td style='color:black;background-color:#f28b64;text-align:right;'>0.100</td><td style='color:black;background-color:#8bf264;text-align:right;'>0.900</td></tr><tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>FALSE</center></th><td style='color:black;background-color:#85f864;text-align:right;'>0.950</td><td style='color:black;background-color:#f88564;text-align:right;'>0.050</td></tr><tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 934 " <center>ONESIDED</center></th><th style='border:1px solid 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"code", 10786 "execution_count": 10, 10787 "metadata": { 10788 "ExecuteTime": { 10789 "end_time": "2019-02-25T15:54:25.541746Z", 10790 "start_time": "2019-02-25T15:54:25.533065Z" 10791 } 10792 }, 10793 "outputs": [ 10794 { 10795 "data": { 10796 "text/html": [ 10797 "<table style=\"border:1px solid black;\">\n", 10798 "<tr><th colspan='2'></th>\n", 10799 " <th colspan='4' style='border:1px solid black;color:black;background-color:#808080;'><center>PRESS</center>\n", 10800 " </th></tr>\n", 10801 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>SHUNT</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>VENTALV</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 10802 " <center>ZERO</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 10803 " <center>LOW</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 10804 " <center>NORMAL</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 10805 " <center>HIGH</center></th></tr>\n", 10806 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '4'>\n", 10807 " <center>NORMAL</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>ZERO</center></th><td style='color:black;background-color:#f78664;text-align:right;'>0.0569</td><td style='color:black;background-color:#dca164;text-align:right;'>0.2669</td><td style='color:black;background-color:#e59864;text-align:right;'>0.2005</td><td style='color:black;background-color:#c2bb64;text-align:right;'>0.4757</td></tr>\n", 10808 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>LOW</center></th><td style='color:black;background-color:#fc8164;text-align:right;'>0.0208</td><td style='color:black;background-color:#de9f64;text-align:right;'>0.2515</td><td style='color:black;background-color:#f78664;text-align:right;'>0.0553</td><td style='color:black;background-color:#a8d564;text-align:right;'>0.6724</td></tr>\n", 10809 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>NORMAL</center></th><td style='color:black;background-color:#f58864;text-align:right;'>0.0769</td><td style='color:black;background-color:#d5a864;text-align:right;'>0.3267</td><td style='color:black;background-color:#e89564;text-align:right;'>0.1772</td><td style='color:black;background-color:#c9b464;text-align:right;'>0.4192</td></tr>\n", 10810 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>HIGH</center></th><td style='color:black;background-color:#f88564;text-align:right;'>0.0501</td><td 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12526 "</svg>\n" 12527 ], 12528 "text/plain": [ 12529 "<Figure size 432x288 with 1 Axes>" 12530 ] 12531 }, 12532 "metadata": {}, 12533 "output_type": "display_data" 12534 } 12535 ], 12536 "source": [ 12537 "import time\n", 12538 "r=range(0,100,2)\n", 12539 "xs=[x/100.0 for x in r]\n", 12540 "\n", 12541 "tf=time.time()\n", 12542 "ys=[gum.getPosterior(bn,{'MINVOLSET':[0,x/100.0,0.5]},'VENTALV').tolist() \n", 12543 " for x in r]\n", 12544 "delta=time.time()-tf\n", 12545 "\n", 12546 "p=plot(xs,ys)\n", 12547 "legend(p,[bn.variableFromName('VENTALV').label(i) \n", 12548 " for i in range(bn.variableFromName('VENTALV').domainSize())],loc=7);\n", 12549 "title('VENTALV (100 inferences in %d ms)'%delta);\n", 12550 "ylabel('posterior Probability');\n", 12551 "xlabel('Evidence on MINVOLSET : [0,x,0.5]')\n", 12552 "plt.show()" 12553 ] 12554 }, 12555 { 12556 "cell_type": "markdown", 12557 "metadata": {}, 12558 "source": [ 12559 "Another example : python gives access to a large set of tools. 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[ 14014 "BN as a classifier\n", 14015 "================" 14016 ] 14017 }, 14018 { 14019 "cell_type": "markdown", 14020 "metadata": {}, 14021 "source": [ 14022 "Generation of databases\n", 14023 "-----------------------\n", 14024 "\n", 14025 "Using the CSV format for the database:" 14026 ] 14027 }, 14028 { 14029 "cell_type": "code", 14030 "execution_count": 13, 14031 "metadata": { 14032 "ExecuteTime": { 14033 "end_time": "2019-02-25T15:54:26.512813Z", 14034 "start_time": "2019-02-25T15:54:26.145110Z" 14035 } 14036 }, 14037 "outputs": [ 14038 { 14039 "data": { 14040 "text/plain": [ 14041 "-14828.04768998469" 14042 ] 14043 }, 14044 "execution_count": 13, 14045 "metadata": {}, 14046 "output_type": "execute_result" 14047 } 14048 ], 14049 "source": [ 14050 "gum.generateCSV(bn,\"out/test.csv\",1000,with_labels=True)" 14051 ] 14052 }, 14053 { 14054 "cell_type": "code", 14055 "execution_count": 14, 14056 "metadata": { 14057 "ExecuteTime": { 14058 "end_time": "2019-02-25T15:54:26.519279Z", 14059 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"TRUE,LOW,HIGH,FALSE,TRUE,NORMAL,TRUE,LOW,ZERO,ZERO,HIGH,NORMAL,NORMAL,FALSE,LOW,LOW,NORMAL,HIGH,FALSE,HIGH,HIGH,HIGH,NORMAL,NORMAL,FALSE,LOW,TRUE,NORMAL,NORMAL,ZERO,FALSE,NORMAL,ZERO,FALSE,LOW,NORMAL,HIGH\n", 14071 "FALSE,HIGH,NORMAL,FALSE,TRUE,NORMAL,FALSE,ZERO,ZERO,ZERO,LOW,LOW,HIGH,FALSE,ZERO,LOW,LOW,NORMAL,FALSE,NORMAL,HIGH,HIGH,NORMAL,HIGH,FALSE,LOW,FALSE,LOW,LOW,ZERO,FALSE,LOW,ZERO,FALSE,LOW,HIGH,NORMAL\n", 14072 "FALSE,HIGH,HIGH,FALSE,FALSE,NORMAL,FALSE,LOW,LOW,ZERO,HIGH,LOW,HIGH,FALSE,LOW,LOW,NORMAL,NORMAL,FALSE,HIGH,HIGH,HIGH,NORMAL,HIGH,FALSE,LOW,TRUE,NORMAL,NORMAL,ZERO,FALSE,NORMAL,ZERO,FALSE,NORMAL,NORMAL,HIGH\n", 14073 "FALSE,HIGH,NORMAL,FALSE,FALSE,NORMAL,FALSE,ZERO,LOW,LOW,NORMAL,LOW,HIGH,FALSE,LOW,NORMAL,NORMAL,HIGH,FALSE,NORMAL,HIGH,HIGH,ONESIDED,HIGH,FALSE,LOW,FALSE,HIGH,NORMAL,NORMAL,FALSE,HIGH,ZERO,FALSE,HIGH,NORMAL,NORMAL\n", 14074 "TRUE,HIGH,LOW,FALSE,FALSE,NORMAL,FALSE,HIGH,LOW,ZERO,LOW,LOW,HIGH,TRUE,ZERO,NORMAL,NORMAL,NORMAL,FALSE,LOW,HIGH,HIGH,NORMAL,NORMAL,FALSE,LOW,FALSE,NORMAL,NORMAL,ZERO,FALSE,HIGH,ZERO,TRUE,NORMAL,NORMAL,LOW\n", 14075 "FALSE,HIGH,NORMAL,FALSE,FALSE,NORMAL,FALSE,HIGH,LOW,ZERO,HIGH,LOW,HIGH,FALSE,LOW,NORMAL,NORMAL,NORMAL,FALSE,NORMAL,HIGH,HIGH,NORMAL,HIGH,FALSE,LOW,FALSE,LOW,NORMAL,ZERO,FALSE,HIGH,ZERO,FALSE,LOW,HIGH,NORMAL\n", 14076 "FALSE,NORMAL,HIGH,FALSE,FALSE,NORMAL,FALSE,NORMAL,LOW,ZERO,HIGH,LOW,LOW,FALSE,LOW,LOW,NORMAL,NORMAL,FALSE,HIGH,HIGH,NORMAL,NORMAL,LOW,FALSE,LOW,TRUE,HIGH,NORMAL,ZERO,FALSE,LOW,ZERO,FALSE,LOW,NORMAL,HIGH\n" 14077 ] 14078 } 14079 ], 14080 "source": [ 14081 "with open(\"out/test.csv\",\"r\") as src:\n", 14082 " for _ in range(10):\n", 14083 " print(src.readline(),end=\"\")" 14084 ] 14085 }, 14086 { 14087 "cell_type": "markdown", 14088 "metadata": {}, 14089 "source": [ 14090 "BN as a classifier\n", 14091 "------------------\n", 14092 "\n", 14093 "(because of the use of from-bn-generated csv files, quite good ROC curves are expected)" 14094 ] 14095 }, 14096 { 14097 "cell_type": "code", 14098 "execution_count": 15, 14099 "metadata": { 14100 "ExecuteTime": { 14101 "end_time": "2019-02-25T15:54:28.120163Z", 14102 "start_time": "2019-02-25T15:54:26.520841Z" 14103 } 14104 }, 14105 "outputs": [ 14106 { 14107 "name": "stderr", 14108 "output_type": "stream", 14109 "text": [ 14110 "out/test.csv: 100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████|\n" 14111 ] 14112 }, 14113 { 14114 "data": { 14115 "image/svg+xml": [ 14116 "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n", 14117 "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n", 14118 " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n", 14119 "<svg height=\"290.99625pt\" version=\"1.1\" viewBox=\"0 0 645.5625 290.99625\" width=\"645.5625pt\" xmlns=\"http://www.w3.org/2000/svg\" 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showROC_PR\n", 16444 "\n", 16445 "showROC_PR(bn,\"out/test.csv\",\n", 16446 " target='CATECHOL',label='HIGH', # class and label \n", 16447 " show_progress=True,show_fig=True,with_labels=True) " 16448 ] 16449 }, 16450 { 16451 "cell_type": "markdown", 16452 "metadata": {}, 16453 "source": [ 16454 "Using another class variable" 16455 ] 16456 }, 16457 { 16458 "cell_type": "code", 16459 "execution_count": 16, 16460 "metadata": { 16461 "ExecuteTime": { 16462 "end_time": "2019-02-25T15:54:29.944395Z", 16463 "start_time": "2019-02-25T15:54:28.122120Z" 16464 } 16465 }, 16466 "outputs": [ 16467 { 16468 "name": "stderr", 16469 "output_type": "stream", 16470 "text": [ 16471 "out/test.csv: 100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████|\n" 16472 ] 16473 }, 16474 { 16475 "data": { 16476 "image/svg+xml": [ 16477 "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n", 16478 "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 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class=\"edge\">\n", 20895 "<title>c->d</title>\n", 20896 "<g id=\"a_edge4\"><a xlink:title=\"(2, 3):\">\n", 20897 "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M69.25,-120.89C69.25,-112.76 69.25,-103.83 69.25,-95.24\"/>\n", 20898 "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"72.75,-95 69.25,-85 65.75,-95 72.75,-95\"/>\n", 20899 "</a>\n", 20900 "</g>\n", 20901 "</g>\n", 20902 "</g>\n", 20903 "</svg></div></td></tr><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small><pre>Inference given that c=0</pre></small></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small><pre>Inference given that c=1</pre></small></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small><pre>Inference given that c=2</pre></small></div></td></tr></table>" 20904 ], 20905 "text/plain": [ 20906 "<IPython.core.display.HTML object>" 20907 ] 20908 }, 20909 "metadata": {}, 20910 "output_type": "display_data" 20911 } 20912 ], 20913 "source": [ 20914 "bn1=gum.fastBN(\"a->b;a->c;b->c;c->d\",3)\n", 20915 "\n", 20916 "gnb.sideBySide(*[gnb.getInference(bn1,evs={'c':val},targets={'a','c','d'}) for val in range(3)],\n", 20917 " captions=[\"<pre>Inference given that c={}</pre>\".format(val) for val in range(3)])" 20918 ] 20919 }, 20920 { 20921 "cell_type": "code", 20922 "execution_count": 18, 20923 "metadata": { 20924 "ExecuteTime": { 20925 "end_time": "2019-02-25T15:54:38.940178Z", 20926 "start_time": "2019-02-25T15:54:38.935290Z" 20927 }, 20928 "tags": [] 20929 }, 20930 "outputs": [ 20931 { 20932 "name": "stdout", 20933 "output_type": "stream", 20934 "text": [ 20935 "\n", 20936 " c |\n", 20937 "0 |1 |2 |\n", 20938 "---------|---------|---------|\n", 20939 " 1.0000 | 0.0000 | 0.0000 |\n", 20940 "\n", 20941 "\n", 20942 " d |\n", 20943 "0 |1 |2 |\n", 20944 "---------|---------|---------|\n", 20945 " 0.4163 | 0.2107 | 0.3730 |\n", 20946 "\n" 20947 ] 20948 }, 20949 { 20950 "data": { 20951 "text/html": [ 20952 "\n", 20953 " <style>\n", 20954 " .floating-box {\n", 20955 " display: inline-block;\n", 20956 " margin: 7px;\n", 20957 " padding : 3px;\n", 20958 " border: 2px solid #FFFFFF; \n", 20959 " valign:middle;\n", 20960 " background-color: #FDFDFD;\n", 20961 " }\n", 20962 " </style>\n", 20963 " <div class=\"floating-box\"><table style=\"border:1px solid black;\">\n", 20964 "<tr style='border:1px solid black;color:black;background-color:#808080'>\n", 20965 " <th colspan='3'><center>c</center></th></tr>\n", 20966 "<tr><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20967 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20968 " <center>1</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20969 " <center>2</center></th></tr>\n", 20970 "<tr><td style='color:black;background-color:#7fff64;text-align:right;'>1.0000</td><td style='color:black;background-color:#ff7f64;text-align:right;'>0.0000</td><td style='color:black;background-color:#ff7f64;text-align:right;'>0.0000</td></tr>\n", 20971 "</table></div><div class=\"floating-box\"><table style=\"border:1px solid black;\">\n", 20972 "<tr style='border:1px solid black;color:black;background-color:#808080'>\n", 20973 " <th colspan='3'><center>d</center></th></tr>\n", 20974 "<tr><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20975 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20976 " <center>1</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 20977 " <center>2</center></th></tr>\n", 20978 "<tr><td style='color:black;background-color:#c9b464;text-align:right;'>0.4163</td><td style='color:black;background-color:#e49964;text-align:right;'>0.2107</td><td style='color:black;background-color:#cfae64;text-align:right;'>0.3730</td></tr>\n", 20979 "</table></div>" 20980 ], 20981 "text/plain": [ 20982 "<IPython.core.display.HTML object>" 20983 ] 20984 }, 20985 "metadata": {}, 20986 "output_type": "display_data" 20987 } 20988 ], 20989 "source": [ 20990 "print(gum.getPosterior(bn1,evs={'c':0},target='c'))\n", 20991 "print(gum.getPosterior(bn1,evs={'c':0},target='d'))\n", 20992 "\n", 20993 "# using pyagrum.lib.notebook's helpers\n", 20994 "gnb.flow.row(gum.getPosterior(bn1,evs={'c':0},target='c'),gum.getPosterior(bn1,evs={'c':0},target='d'))" 20995 ] 20996 }, 20997 { 20998 "cell_type": "markdown", 20999 "metadata": {}, 21000 "source": [ 21001 "# Joint posterior, impact of multiple evidence" 21002 ] 21003 }, 21004 { 21005 "cell_type": "code", 21006 "execution_count": 19, 21007 "metadata": { 21008 "ExecuteTime": { 21009 "end_time": "2019-02-25T15:54:44.463393Z", 21010 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solid black;color:black;background-color:#808080;'><center>g</center>\n", 22571 " </th></tr>\n", 22572 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>f</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22573 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22574 " <center>1</center></th></tr>\n", 22575 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22576 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#ceaf64;text-align:right;'>0.3773</td><td style='color:black;background-color:#e19c64;text-align:right;'>0.2312</td></tr>\n", 22577 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#ee8f64;text-align:right;'>0.1255</td><td style='color:black;background-color:#f58864;text-align:right;'>0.0770</td></tr>\n", 22578 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22579 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#f68764;text-align:right;'>0.0665</td><td style='color:black;background-color:#f98464;text-align:right;'>0.0420</td></tr>\n", 22580 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#f88564;text-align:right;'>0.0497</td><td style='color:black;background-color:#fb8264;text-align:right;'>0.0308</td></tr>\n", 22581 "</table></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\" style=\"\"><table style=\"border:1px solid black;\">\n", 22582 "<tr><th colspan='1'></th>\n", 22583 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>g</center>\n", 22584 " </th></tr>\n", 22585 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22586 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22587 " <center>1</center></th></tr>\n", 22588 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#c6b764;text-align:right;'>0.4439</td><td style='color:black;background-color:#dca164;text-align:right;'>0.2732</td></tr>\n", 22589 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#e89564;text-align:right;'>0.1751</td><td style='color:black;background-color:#f18c64;text-align:right;'>0.1078</td></tr>\n", 22590 "</table></div></td></tr><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>Joint posterior $P(e,f,g)$</small></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>Joint posterior $P(e,f)$</small></div></td></tr></table>" 22591 ], 22592 "text/plain": [ 22593 "<IPython.core.display.HTML object>" 22594 ] 22595 }, 22596 "metadata": {}, 22597 "output_type": "display_data" 22598 } 22599 ], 22600 "source": [ 22601 "ie=gum.LazyPropagation(bn)\n", 22602 "ie.addJointTarget({\"e\",\"f\",\"g\"})\n", 22603 "ie.makeInference()\n", 22604 "gnb.sideBySide(ie.jointPosterior({\"e\",\"f\",\"g\"}),ie.jointPosterior({\"e\",\"g\"}),\n", 22605 " captions=[\"Joint posterior $P(e,f,g)$\",\"Joint posterior $P(e,f)$\"])" 22606 ] 22607 }, 22608 { 22609 "cell_type": "code", 22610 "execution_count": 21, 22611 "metadata": { 22612 "ExecuteTime": { 22613 "end_time": "2019-02-25T15:54:44.497962Z", 22614 "start_time": "2019-02-25T15:54:44.480679Z" 22615 } 22616 }, 22617 "outputs": [ 22618 { 22619 "data": { 22620 "text/html": [ 22621 "<table style=\"border-style: hidden; border-collapse: collapse;\" width=\"100%\"><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\" style=\"\"><table style=\"border:1px solid black;\">\n", 22622 "<tr><th colspan='2'></th>\n", 22623 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>a</center>\n", 22624 " </th></tr>\n", 22625 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>f</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22626 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22627 " <center>1</center></th></tr>\n", 22628 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22629 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#85f864;text-align:right;'>0.9505</td><td style='color:black;background-color:#f88564;text-align:right;'>0.0495</td></tr>\n", 22630 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#88f564;text-align:right;'>0.9261</td><td style='color:black;background-color:#f58864;text-align:right;'>0.0739</td></tr>\n", 22631 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22632 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#85f864;text-align:right;'>0.9525</td><td style='color:black;background-color:#f88564;text-align:right;'>0.0475</td></tr>\n", 22633 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#88f564;text-align:right;'>0.9265</td><td style='color:black;background-color:#f58864;text-align:right;'>0.0735</td></tr>\n", 22634 "</table></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\" style=\"\"><table style=\"border:1px solid black;\">\n", 22635 "<tr><th colspan='2'></th>\n", 22636 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>a</center>\n", 22637 " </th></tr>\n", 22638 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>d</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22639 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22640 " <center>1</center></th></tr>\n", 22641 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22642 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#85f864;text-align:right;'>0.9527</td><td style='color:black;background-color:#f88564;text-align:right;'>0.0473</td></tr>\n", 22643 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#85f864;text-align:right;'>0.9501</td><td style='color:black;background-color:#f88564;text-align:right;'>0.0499</td></tr>\n", 22644 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22645 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='color:black;background-color:#88f564;text-align:right;'>0.9265</td><td style='color:black;background-color:#f58864;text-align:right;'>0.0735</td></tr>\n", 22646 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='color:black;background-color:#88f564;text-align:right;'>0.9258</td><td style='color:black;background-color:#f58864;text-align:right;'>0.0742</td></tr>\n", 22647 "</table></div></td></tr><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>$\\forall e,f, P(a|e,f)$</small></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>$\\forall d,e,f, P(a|d,e,f)=P(a|d,e)$ using d-separation</small></div></td></tr></table>" 22648 ], 22649 "text/plain": [ 22650 "<IPython.core.display.HTML object>" 22651 ] 22652 }, 22653 "metadata": {}, 22654 "output_type": "display_data" 22655 } 22656 ], 22657 "source": [ 22658 "gnb.sideBySide(ie.evidenceImpact(\"a\",[\"e\",\"f\"]),ie.evidenceImpact(\"a\",[\"d\",\"e\",\"f\"]),\n", 22659 " captions=[\"$\\\\forall e,f, P(a|e,f)$\",\n", 22660 " \"$\\\\forall d,e,f, P(a|d,e,f)=P(a|d,e)$ using d-separation\"]\n", 22661 " )" 22662 ] 22663 }, 22664 { 22665 "cell_type": "code", 22666 "execution_count": 22, 22667 "metadata": { 22668 "ExecuteTime": { 22669 "end_time": "2019-02-25T15:54:44.511196Z", 22670 "start_time": "2019-02-25T15:54:44.500074Z" 22671 }, 22672 "tags": [] 22673 }, 22674 "outputs": [ 22675 { 22676 "data": { 22677 "text/html": [ 22678 "<table style=\"border-style: hidden; border-collapse: collapse;\" width=\"100%\"><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\" style=\"\"><table style=\"border:1px solid black;\">\n", 22679 "<tr><th colspan='3'></th>\n", 22680 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>b</center>\n", 22681 " </th></tr>\n", 22682 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>f</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>a</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22683 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22684 " <center>1</center></th></tr>\n", 22685 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '4'>\n", 22686 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22687 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.0927</td><td style='text-align:right;'>0.8578</td></tr>\n", 22688 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0421</td><td style='text-align:right;'>0.0074</td></tr>\n", 22689 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22690 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.1479</td><td style='text-align:right;'>0.7782</td></tr>\n", 22691 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0672</td><td style='text-align:right;'>0.0067</td></tr>\n", 22692 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '4'>\n", 22693 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22694 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.0883</td><td style='text-align:right;'>0.8642</td></tr>\n", 22695 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0401</td><td style='text-align:right;'>0.0074</td></tr>\n", 22696 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22697 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.1470</td><td style='text-align:right;'>0.7795</td></tr>\n", 22698 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0668</td><td style='text-align:right;'>0.0067</td></tr>\n", 22699 "</table></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\" style=\"\"><table style=\"border:1px solid black;\">\n", 22700 "<tr><th colspan='3'></th>\n", 22701 " <th colspan='2' style='border:1px solid black;color:black;background-color:#808080;'><center>b</center>\n", 22702 " </th></tr>\n", 22703 "<tr><th style='border:1px solid black;color:black;background-color:#808080'><center>e</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>d</center></th><th style='border:1px solid black;color:black;background-color:#808080'><center>a</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22704 " <center>0</center></th><th style='border:1px solid black;border-bottom-style: double;color:black;background-color:#BBBBBB'>\n", 22705 " <center>1</center></th></tr>\n", 22706 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '4'>\n", 22707 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22708 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.0877</td><td style='text-align:right;'>0.8650</td></tr>\n", 22709 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0399</td><td style='text-align:right;'>0.0074</td></tr>\n", 22710 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22711 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.0937</td><td style='text-align:right;'>0.8564</td></tr>\n", 22712 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0426</td><td style='text-align:right;'>0.0074</td></tr>\n", 22713 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '4'>\n", 22714 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22715 " <center>0</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.1470</td><td style='text-align:right;'>0.7795</td></tr>\n", 22716 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0668</td><td style='text-align:right;'>0.0067</td></tr>\n", 22717 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB;' rowspan = '2'>\n", 22718 " <center>1</center></th><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>0</center></th><td style='text-align:right;'>0.1485</td><td style='text-align:right;'>0.7773</td></tr>\n", 22719 "<tr><th style='border:1px solid black;color:black;background-color:#BBBBBB'><center>1</center></th><td style='text-align:right;'>0.0675</td><td style='text-align:right;'>0.0067</td></tr>\n", 22720 "</table></div></td></tr><tr><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>$\\forall e,f, P(a,b|e,f)$</small></div></td><td style=\"border-top:hidden;border-bottom:hidden;\"><div align=\"center\"><small>$\\forall d,e,f, P(a,b|d,e,f)=P(a,b|d,e)$ using d-separation</small></div></td></tr></table>" 22721 ], 22722 "text/plain": [ 22723 "<IPython.core.display.HTML object>" 22724 ] 22725 }, 22726 "metadata": {}, 22727 "output_type": "display_data" 22728 } 22729 ], 22730 "source": [ 22731 "gnb.sideBySide(ie.evidenceJointImpact([\"a\",\"b\"],[\"e\",\"f\"]),ie.evidenceJointImpact([\"a\",\"b\"],[\"d\",\"e\",\"f\"]),\n", 22732 " captions=[\"$\\\\forall e,f, P(a,b|e,f)$\",\n", 22733 " \"$\\\\forall d,e,f, P(a,b|d,e,f)=P(a,b|d,e)$ using d-separation\"]\n", 22734 " )" 22735 ] 22736 }, 22737 { 22738 "cell_type": "code", 22739 "execution_count": null, 22740 "metadata": { 22741 "collapsed": false, 22742 "jupyter": { 22743 "outputs_hidden": false 22744 }, 22745 "pycharm": { 22746 "name": "#%%\n" 22747 } 22748 }, 22749 "outputs": [], 22750 "source": [] 22751 } 22752 ], 22753 "metadata": { 22754 "hide_input": false, 22755 "kernelspec": { 22756 "display_name": "Python 3 (ipykernel)", 22757 "language": "python", 22758 "name": "python3" 22759 }, 22760 "language_info": { 22761 "codemirror_mode": { 22762 "name": "ipython", 22763 "version": 3 22764 }, 22765 "file_extension": ".py", 22766 "mimetype": "text/x-python", 22767 "name": "python", 22768 "nbconvert_exporter": "python", 22769 "pygments_lexer": "ipython3", 22770 "version": "3.9.6" 22771 } 22772 }, 22773 "nbformat": 4, 22774 "nbformat_minor": 4 22775} 22776
