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    "tags": []
15   },
16   "outputs": [],
17   "source": [
18    "import pyAgrum.skbn as skbn\n",
19    "import pyAgrum.lib.notebook as gnb\n",
20    "\n",
21    "import os\n",
22    "import pandas"
23   ]
24  },
25  {
26   "cell_type": "markdown",
27   "metadata": {},
28   "source": [
29    "# Initialization of parameters"
30   ]
31  },
32  {
33   "cell_type": "markdown",
34   "metadata": {},
35   "source": [
36    "First, we initialize the parameters to indicate properties we want our classifier to have."
37   ]
38  },
39  {
40   "cell_type": "code",
41   "execution_count": 2,
42   "metadata": {
43    "tags": []
44   },
45   "outputs": [],
46   "source": [
47    "BNTest= skbn.BNClassifier(learningMethod = 'Chow-Liu', aPriori= 'Smoothing', aPrioriWeight = 0.5, \n",
48    "                          discretizationStrategy = 'quantile', usePR = True, significant_digit = 13)"
49   ]
50  },
51  {
52   "cell_type": "markdown",
53   "metadata": {},
54   "source": [
55    "Then, we train the classifier thanks to two types of objects."
56   ]
57  },
58  {
59   "cell_type": "markdown",
60   "metadata": {},
61   "source": [
62    "# Learn from csv file"
63   ]
64  },
65  {
66   "cell_type": "code",
67   "execution_count": 3,
68   "metadata": {
69    "tags": []
70   },
71   "outputs": [],
72   "source": [
73    "BNTest.fit(filename = 'res/creditCardTest.csv', targetName = 'Class')"
74   ]
75  },
76  {
77   "cell_type": "code",
78   "execution_count": 4,
79   "metadata": {
80    "tags": []
81   },
82   "outputs": [
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390       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"99\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
391       "<text text-anchor=\"middle\" x=\"99\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V5</text>\n",
392       "</a>\n",
393       "</g>\n",
394       "</g>\n",
395       "<!-- V7&#45;&gt;V5 -->\n",
396       "<g id=\"edge6\" class=\"edge\">\n",
397       "<title>V7-&gt;V5</title>\n",
398       "<g id=\"a_edge6\"><a xlink:title=\"(8, 6) : \">\n",
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401       "</a>\n",
402       "</g>\n",
403       "</g>\n",
404       "<!-- V23 -->\n",
405       "<g id=\"node13\" class=\"node\">\n",
406       "<title>V23</title>\n",
407       "<g id=\"a_node13\"><a xlink:title=\"(24) V23\">\n",
408       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"315\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
409       "<text text-anchor=\"middle\" x=\"315\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V23</text>\n",
410       "</a>\n",
411       "</g>\n",
412       "</g>\n",
413       "<!-- V14 -->\n",
414       "<g id=\"node14\" class=\"node\">\n",
415       "<title>V14</title>\n",
416       "<g id=\"a_node14\"><a xlink:title=\"(15) V14\">\n",
417       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"719\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
418       "<text text-anchor=\"middle\" x=\"719\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V14</text>\n",
419       "</a>\n",
420       "</g>\n",
421       "</g>\n",
422       "<!-- V1&#45;&gt;V21 -->\n",
423       "<g id=\"edge20\" class=\"edge\">\n",
424       "<title>V1-&gt;V21</title>\n",
425       "<g id=\"a_edge20\"><a xlink:title=\"(2, 22) : \">\n",
426       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M361.85,-226.91C326.68,-218.1 261.04,-200.57 207,-180 205.16,-179.3 203.28,-178.54 201.4,-177.75\"/>\n",
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428       "</a>\n",
429       "</g>\n",
430       "</g>\n",
431       "<!-- V1&#45;&gt;V3 -->\n",
432       "<g id=\"edge15\" class=\"edge\">\n",
433       "<title>V1-&gt;V3</title>\n",
434       "<g id=\"a_edge15\"><a xlink:title=\"(2, 4) : \">\n",
435       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M365.75,-222.67C341.4,-210.83 301.28,-191.33 273.57,-177.86\"/>\n",
436       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"274.86,-174.6 264.33,-173.37 271.8,-180.89 274.86,-174.6\"/>\n",
437       "</a>\n",
438       "</g>\n",
439       "</g>\n",
440       "<!-- V1&#45;&gt;V23 -->\n",
441       "<g id=\"edge30\" class=\"edge\">\n",
442       "<title>V1-&gt;V23</title>\n",
443       "<g id=\"a_edge30\"><a xlink:title=\"(2, 24) : \">\n",
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446       "</a>\n",
447       "</g>\n",
448       "</g>\n",
449       "<!-- V25 -->\n",
450       "<g id=\"node16\" class=\"node\">\n",
451       "<title>V25</title>\n",
452       "<g id=\"a_node16\"><a xlink:title=\"(26) V25\">\n",
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454       "<text text-anchor=\"middle\" x=\"387\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V25</text>\n",
455       "</a>\n",
456       "</g>\n",
457       "</g>\n",
458       "<!-- V1&#45;&gt;V25 -->\n",
459       "<g id=\"edge10\" class=\"edge\">\n",
460       "<title>V1-&gt;V25</title>\n",
461       "<g id=\"a_edge10\"><a xlink:title=\"(2, 26) : \">\n",
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464       "</a>\n",
465       "</g>\n",
466       "</g>\n",
467       "<!-- V20 -->\n",
468       "<g id=\"node18\" class=\"node\">\n",
469       "<title>V20</title>\n",
470       "<g id=\"a_node18\"><a xlink:title=\"(21) V20\">\n",
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472       "<text text-anchor=\"middle\" x=\"459\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V20</text>\n",
473       "</a>\n",
474       "</g>\n",
475       "</g>\n",
476       "<!-- V1&#45;&gt;V20 -->\n",
477       "<g id=\"edge29\" class=\"edge\">\n",
478       "<title>V1-&gt;V20</title>\n",
479       "<g id=\"a_edge29\"><a xlink:title=\"(2, 21) : \">\n",
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482       "</a>\n",
483       "</g>\n",
484       "</g>\n",
485       "<!-- V27 -->\n",
486       "<g id=\"node20\" class=\"node\">\n",
487       "<title>V27</title>\n",
488       "<g id=\"a_node20\"><a xlink:title=\"(28) V27\">\n",
489       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"531\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
490       "<text text-anchor=\"middle\" x=\"531\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V27</text>\n",
491       "</a>\n",
492       "</g>\n",
493       "</g>\n",
494       "<!-- V1&#45;&gt;V27 -->\n",
495       "<g id=\"edge21\" class=\"edge\">\n",
496       "<title>V1-&gt;V27</title>\n",
497       "<g id=\"a_edge21\"><a xlink:title=\"(2, 28) : \">\n",
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499       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"502.2,-180.89 509.67,-173.37 499.14,-174.6 502.2,-180.89\"/>\n",
500       "</a>\n",
501       "</g>\n",
502       "</g>\n",
503       "<!-- V28 -->\n",
504       "<g id=\"node21\" class=\"node\">\n",
505       "<title>V28</title>\n",
506       "<g id=\"a_node21\"><a xlink:title=\"(29) V28\">\n",
507       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"603\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
508       "<text text-anchor=\"middle\" x=\"603\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V28</text>\n",
509       "</a>\n",
510       "</g>\n",
511       "</g>\n",
512       "<!-- V1&#45;&gt;V28 -->\n",
513       "<g id=\"edge11\" class=\"edge\">\n",
514       "<title>V1-&gt;V28</title>\n",
515       "<g id=\"a_edge11\"><a xlink:title=\"(2, 29) : \">\n",
516       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M408.03,-222.23C412.87,-219.98 418.05,-217.77 423,-216 485.13,-193.81 504.87,-202.19 567,-180 568.86,-179.34 570.74,-178.61 572.63,-177.84\"/>\n",
517       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"574.2,-180.98 581.97,-173.77 571.41,-174.56 574.2,-180.98\"/>\n",
518       "</a>\n",
519       "</g>\n",
520       "</g>\n",
521       "<!-- V18 -->\n",
522       "<g id=\"node17\" class=\"node\">\n",
523       "<title>V18</title>\n",
524       "<g id=\"a_node17\"><a xlink:title=\"(19) V18\">\n",
525       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"791\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
526       "<text text-anchor=\"middle\" x=\"791\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V18</text>\n",
527       "</a>\n",
528       "</g>\n",
529       "</g>\n",
530       "<!-- V20&#45;&gt;V19 -->\n",
531       "<g id=\"edge23\" class=\"edge\">\n",
532       "<title>V20-&gt;V19</title>\n",
533       "<g id=\"a_edge23\"><a xlink:title=\"(21, 20) : \">\n",
534       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M459,-143.7C459,-135.98 459,-126.71 459,-118.11\"/>\n",
535       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"462.5,-118.1 459,-108.1 455.5,-118.1 462.5,-118.1\"/>\n",
536       "</a>\n",
537       "</g>\n",
538       "</g>\n",
539       "<!-- Time&#45;&gt;V9 -->\n",
540       "<g id=\"edge28\" class=\"edge\">\n",
541       "<title>Time-&gt;V9</title>\n",
542       "<g id=\"a_edge28\"><a xlink:title=\"(1, 10) : \">\n",
543       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M658.35,-439.41C626.31,-426.96 570.31,-405.18 535.02,-391.45\"/>\n",
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545       "</a>\n",
546       "</g>\n",
547       "</g>\n",
548       "<!-- Time&#45;&gt;V12 -->\n",
549       "<g id=\"edge26\" class=\"edge\">\n",
550       "<title>Time-&gt;V12</title>\n",
551       "<g id=\"a_edge26\"><a xlink:title=\"(1, 13) : \">\n",
552       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M674.47,-432.41C670.16,-424.04 664.85,-413.71 660.05,-404.37\"/>\n",
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555       "</g>\n",
556       "</g>\n",
557       "<!-- Time&#45;&gt;V14 -->\n",
558       "<g id=\"edge9\" class=\"edge\">\n",
559       "<title>Time-&gt;V14</title>\n",
560       "<g id=\"a_edge9\"><a xlink:title=\"(1, 15) : \">\n",
561       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M691.53,-432.41C695.84,-424.04 701.15,-413.71 705.95,-404.37\"/>\n",
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563       "</a>\n",
564       "</g>\n",
565       "</g>\n",
566       "<!-- V17 -->\n",
567       "<g id=\"node30\" class=\"node\">\n",
568       "<title>V17</title>\n",
569       "<g id=\"a_node30\"><a xlink:title=\"(18) V17\">\n",
570       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"791\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
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572       "</a>\n",
573       "</g>\n",
574       "</g>\n",
575       "<!-- Time&#45;&gt;V17 -->\n",
576       "<g id=\"edge8\" class=\"edge\">\n",
577       "<title>Time-&gt;V17</title>\n",
578       "<g id=\"a_edge8\"><a xlink:title=\"(1, 18) : \">\n",
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582       "</g>\n",
583       "</g>\n",
584       "<!-- V4 -->\n",
585       "<g id=\"node24\" class=\"node\">\n",
586       "<title>V4</title>\n",
587       "<g id=\"a_node24\"><a xlink:title=\"(5) V4\">\n",
588       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"660\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
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590       "</a>\n",
591       "</g>\n",
592       "</g>\n",
593       "<!-- V4&#45;&gt;V26 -->\n",
594       "<g id=\"edge18\" class=\"edge\">\n",
595       "<title>V4-&gt;V26</title>\n",
596       "<g id=\"a_edge18\"><a xlink:title=\"(5, 27) : \">\n",
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600       "</g>\n",
601       "</g>\n",
602       "<!-- V10&#45;&gt;V4 -->\n",
603       "<g id=\"edge4\" class=\"edge\">\n",
604       "<title>V10-&gt;V4</title>\n",
605       "<g id=\"a_edge4\"><a xlink:title=\"(11, 5) : \">\n",
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609       "</g>\n",
610       "</g>\n",
611       "<!-- V16 -->\n",
612       "<g id=\"node28\" class=\"node\">\n",
613       "<title>V16</title>\n",
614       "<g id=\"a_node28\"><a xlink:title=\"(17) V16\">\n",
615       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"791\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
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617       "</a>\n",
618       "</g>\n",
619       "</g>\n",
620       "<!-- V16&#45;&gt;V18 -->\n",
621       "<g id=\"edge25\" class=\"edge\">\n",
622       "<title>V16-&gt;V18</title>\n",
623       "<g id=\"a_edge25\"><a xlink:title=\"(17, 19) : \">\n",
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626       "</a>\n",
627       "</g>\n",
628       "</g>\n",
629       "<!-- V17&#45;&gt;V16 -->\n",
630       "<g id=\"edge1\" class=\"edge\">\n",
631       "<title>V17-&gt;V16</title>\n",
632       "<g id=\"a_edge1\"><a xlink:title=\"(18, 17) : \">\n",
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635       "</a>\n",
636       "</g>\n",
637       "</g>\n",
638       "</g>\n",
639       "</svg>"
640      ],
641      "text/plain": [
642       "<IPython.core.display.SVG object>"
643      ]
644     },
645     "metadata": {},
646     "output_type": "display_data"
647    }
648   ],
649   "source": [
650    "gnb.showBN(BNTest.bn)"
651   ]
652  },
653  {
654   "cell_type": "code",
655   "execution_count": 5,
656   "metadata": {
657    "tags": []
658   },
659   "outputs": [
660    {
661     "data": {
662      "image/svg+xml": [
663       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"69pt\" height=\"116pt\" viewBox=\"0.00 0.00 69.09 116.00\">\n",
664       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 112)\">\n",
665       "<title>G</title>\n",
666       "<!-- Class -->\n",
667       "<g id=\"node1\" class=\"node\">\n",
668       "<title>Class</title>\n",
669       "<g id=\"a_node1\"><a xlink:title=\"(0) Class\">\n",
670       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"30.55\" cy=\"-90\" rx=\"30.59\" ry=\"18\"/>\n",
671       "<text text-anchor=\"middle\" x=\"30.55\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Class</text>\n",
672       "</a>\n",
673       "</g>\n",
674       "</g>\n",
675       "<!-- Time -->\n",
676       "<g id=\"node2\" class=\"node\">\n",
677       "<title>Time</title>\n",
678       "<g id=\"a_node2\"><a xlink:title=\"(1) Time\">\n",
679       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"30.55\" cy=\"-18\" rx=\"29.8\" ry=\"18\"/>\n",
680       "<text text-anchor=\"middle\" x=\"30.55\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Time</text>\n",
681       "</a>\n",
682       "</g>\n",
683       "</g>\n",
684       "<!-- Class&#45;&gt;Time -->\n",
685       "<g id=\"edge1\" class=\"edge\">\n",
686       "<title>Class-&gt;Time</title>\n",
687       "<g id=\"a_edge1\"><a xlink:title=\"(0, 1) : \">\n",
688       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M30.55,-71.7C30.55,-63.98 30.55,-54.71 30.55,-46.11\"/>\n",
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690       "</a>\n",
691       "</g>\n",
692       "</g>\n",
693       "</g>\n",
694       "</svg>"
695      ],
696      "text/plain": [
697       "<IPython.core.display.SVG object>"
698      ]
699     },
700     "metadata": {},
701     "output_type": "display_data"
702    }
703   ],
704   "source": [
705    "gnb.showBN(BNTest.MarkovBlanket) "
706   ]
707  },
708  {
709   "cell_type": "markdown",
710   "metadata": {},
711   "source": [
712    "# Learn from array-likes"
713   ]
714  },
715  {
716   "cell_type": "markdown",
717   "metadata": {},
718   "source": [
719    "We use a method to transform the csv file in two array-likes in order to train from the same database."
720   ]
721  },
722  {
723   "cell_type": "code",
724   "execution_count": 6,
725   "metadata": {
726    "tags": []
727   },
728   "outputs": [],
729   "source": [
730    "xTrain, yTrain = BNTest.XYfromCSV(filename = 'res/creditCardTest.csv', target = 'Class')"
731   ]
732  },
733  {
734   "cell_type": "code",
735   "execution_count": 7,
736   "metadata": {
737    "tags": []
738   },
739   "outputs": [],
740   "source": [
741    "BNTest.fit(xTrain, yTrain)"
742   ]
743  },
744  {
745   "cell_type": "code",
746   "execution_count": 8,
747   "metadata": {
748    "tags": []
749   },
750   "outputs": [
751    {
752     "data": {
753      "image/svg+xml": [
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755       "<g id=\"graph0\" class=\"graph\" transform=\"scale(0.44 0.44) rotate(0) translate(4 544)\">\n",
756       "<title>G</title>\n",
757       "<!-- V21 -->\n",
758       "<g id=\"node1\" class=\"node\">\n",
759       "<title>V21</title>\n",
760       "<g id=\"a_node1\"><a xlink:title=\"(22) V21\">\n",
761       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"171\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
762       "<text text-anchor=\"middle\" x=\"171\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V21</text>\n",
763       "</a>\n",
764       "</g>\n",
765       "</g>\n",
766       "<!-- V22 -->\n",
767       "<g id=\"node9\" class=\"node\">\n",
768       "<title>V22</title>\n",
769       "<g id=\"a_node9\"><a xlink:title=\"(23) V22\">\n",
770       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"171\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
771       "<text text-anchor=\"middle\" x=\"171\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V22</text>\n",
772       "</a>\n",
773       "</g>\n",
774       "</g>\n",
775       "<!-- V21&#45;&gt;V22 -->\n",
776       "<g id=\"edge2\" class=\"edge\">\n",
777       "<title>V21-&gt;V22</title>\n",
778       "<g id=\"a_edge2\"><a xlink:title=\"(22, 23) : \">\n",
779       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M171,-143.7C171,-135.98 171,-126.71 171,-118.11\"/>\n",
780       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1\"/>\n",
781       "</a>\n",
782       "</g>\n",
783       "</g>\n",
784       "<!-- V26 -->\n",
785       "<g id=\"node2\" class=\"node\">\n",
786       "<title>V26</title>\n",
787       "<g id=\"a_node2\"><a xlink:title=\"(27) V26\">\n",
788       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"675\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
789       "<text text-anchor=\"middle\" x=\"675\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V26</text>\n",
790       "</a>\n",
791       "</g>\n",
792       "</g>\n",
793       "<!-- V19 -->\n",
794       "<g id=\"node3\" class=\"node\">\n",
795       "<title>V19</title>\n",
796       "<g id=\"a_node3\"><a xlink:title=\"(20) V19\">\n",
797       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"459\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
798       "<text text-anchor=\"middle\" x=\"459\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V19</text>\n",
799       "</a>\n",
800       "</g>\n",
801       "</g>\n",
802       "<!-- V3 -->\n",
803       "<g id=\"node4\" class=\"node\">\n",
804       "<title>V3</title>\n",
805       "<g id=\"a_node4\"><a xlink:title=\"(4) V3\">\n",
806       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"243\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
807       "<text text-anchor=\"middle\" x=\"243\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V3</text>\n",
808       "</a>\n",
809       "</g>\n",
810       "</g>\n",
811       "<!-- Class -->\n",
812       "<g id=\"node5\" class=\"node\">\n",
813       "<title>Class</title>\n",
814       "<g id=\"a_node5\"><a xlink:title=\"(0) Class\">\n",
815       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"683\" cy=\"-522\" rx=\"30.59\" ry=\"18\"/>\n",
816       "<text text-anchor=\"middle\" x=\"683\" y=\"-518.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Class</text>\n",
817       "</a>\n",
818       "</g>\n",
819       "</g>\n",
820       "<!-- Time -->\n",
821       "<g id=\"node23\" class=\"node\">\n",
822       "<title>Time</title>\n",
823       "<g id=\"a_node23\"><a xlink:title=\"(1) Time\">\n",
824       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"683\" cy=\"-450\" rx=\"29.8\" ry=\"18\"/>\n",
825       "<text text-anchor=\"middle\" x=\"683\" y=\"-446.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Time</text>\n",
826       "</a>\n",
827       "</g>\n",
828       "</g>\n",
829       "<!-- Class&#45;&gt;Time -->\n",
830       "<g id=\"edge14\" class=\"edge\">\n",
831       "<title>Class-&gt;Time</title>\n",
832       "<g id=\"a_edge14\"><a xlink:title=\"(0, 1) : \">\n",
833       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M683,-503.7C683,-495.98 683,-486.71 683,-478.11\"/>\n",
834       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"686.5,-478.1 683,-468.1 679.5,-478.1 686.5,-478.1\"/>\n",
835       "</a>\n",
836       "</g>\n",
837       "</g>\n",
838       "<!-- V2 -->\n",
839       "<g id=\"node6\" class=\"node\">\n",
840       "<title>V2</title>\n",
841       "<g id=\"a_node6\"><a xlink:title=\"(3) V2\">\n",
842       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"416\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
843       "<text text-anchor=\"middle\" x=\"416\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V2</text>\n",
844       "</a>\n",
845       "</g>\n",
846       "</g>\n",
847       "<!-- V7 -->\n",
848       "<g id=\"node12\" class=\"node\">\n",
849       "<title>V7</title>\n",
850       "<g id=\"a_node12\"><a xlink:title=\"(8) V7\">\n",
851       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"99\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
852       "<text text-anchor=\"middle\" x=\"99\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V7</text>\n",
853       "</a>\n",
854       "</g>\n",
855       "</g>\n",
856       "<!-- V2&#45;&gt;V7 -->\n",
857       "<g id=\"edge24\" class=\"edge\">\n",
858       "<title>V2-&gt;V7</title>\n",
859       "<g id=\"a_edge24\"><a xlink:title=\"(3, 8) : \">\n",
860       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M390.59,-299.39C334.37,-286.97 199.29,-257.15 134.64,-242.87\"/>\n",
861       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"135.05,-239.38 124.53,-240.64 133.54,-246.21 135.05,-239.38\"/>\n",
862       "</a>\n",
863       "</g>\n",
864       "</g>\n",
865       "<!-- V1 -->\n",
866       "<g id=\"node15\" class=\"node\">\n",
867       "<title>V1</title>\n",
868       "<g id=\"a_node15\"><a xlink:title=\"(2) V1\">\n",
869       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"387\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
870       "<text text-anchor=\"middle\" x=\"387\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V1</text>\n",
871       "</a>\n",
872       "</g>\n",
873       "</g>\n",
874       "<!-- V2&#45;&gt;V1 -->\n",
875       "<g id=\"edge22\" class=\"edge\">\n",
876       "<title>V2-&gt;V1</title>\n",
877       "<g id=\"a_edge22\"><a xlink:title=\"(3, 2) : \">\n",
878       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M409.13,-288.41C405.73,-280.22 401.56,-270.14 397.75,-260.95\"/>\n",
879       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"400.88,-259.37 393.82,-251.47 394.42,-262.05 400.88,-259.37\"/>\n",
880       "</a>\n",
881       "</g>\n",
882       "</g>\n",
883       "<!-- Amount -->\n",
884       "<g id=\"node31\" class=\"node\">\n",
885       "<title>Amount</title>\n",
886       "<g id=\"a_node31\"><a xlink:title=\"(30) Amount\">\n",
887       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"472\" cy=\"-234\" rx=\"40.09\" ry=\"18\"/>\n",
888       "<text text-anchor=\"middle\" x=\"472\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Amount</text>\n",
889       "</a>\n",
890       "</g>\n",
891       "</g>\n",
892       "<!-- V2&#45;&gt;Amount -->\n",
893       "<g id=\"edge17\" class=\"edge\">\n",
894       "<title>V2-&gt;Amount</title>\n",
895       "<g id=\"a_edge17\"><a xlink:title=\"(3, 30) : \">\n",
896       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M428.15,-289.81C435.36,-280.8 444.66,-269.18 452.84,-258.95\"/>\n",
897       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"455.58,-261.13 459.09,-251.13 450.11,-256.76 455.58,-261.13\"/>\n",
898       "</a>\n",
899       "</g>\n",
900       "</g>\n",
901       "<!-- V8 -->\n",
902       "<g id=\"node7\" class=\"node\">\n",
903       "<title>V8</title>\n",
904       "<g id=\"a_node7\"><a xlink:title=\"(9) V8\">\n",
905       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
906       "<text text-anchor=\"middle\" x=\"27\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V8</text>\n",
907       "</a>\n",
908       "</g>\n",
909       "</g>\n",
910       "<!-- V6 -->\n",
911       "<g id=\"node8\" class=\"node\">\n",
912       "<title>V6</title>\n",
913       "<g id=\"a_node8\"><a xlink:title=\"(7) V6\">\n",
914       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
915       "<text text-anchor=\"middle\" x=\"27\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V6</text>\n",
916       "</a>\n",
917       "</g>\n",
918       "</g>\n",
919       "<!-- V8&#45;&gt;V6 -->\n",
920       "<g id=\"edge13\" class=\"edge\">\n",
921       "<title>V8-&gt;V6</title>\n",
922       "<g id=\"a_edge13\"><a xlink:title=\"(9, 7) : \">\n",
923       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M27,-143.7C27,-135.98 27,-126.71 27,-118.11\"/>\n",
924       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"30.5,-118.1 27,-108.1 23.5,-118.1 30.5,-118.1\"/>\n",
925       "</a>\n",
926       "</g>\n",
927       "</g>\n",
928       "<!-- V24 -->\n",
929       "<g id=\"node22\" class=\"node\">\n",
930       "<title>V24</title>\n",
931       "<g id=\"a_node22\"><a xlink:title=\"(25) V24\">\n",
932       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
933       "<text text-anchor=\"middle\" x=\"27\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V24</text>\n",
934       "</a>\n",
935       "</g>\n",
936       "</g>\n",
937       "<!-- V6&#45;&gt;V24 -->\n",
938       "<g id=\"edge12\" class=\"edge\">\n",
939       "<title>V6-&gt;V24</title>\n",
940       "<g id=\"a_edge12\"><a xlink:title=\"(7, 25) : \">\n",
941       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M27,-71.7C27,-63.98 27,-54.71 27,-46.11\"/>\n",
942       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1\"/>\n",
943       "</a>\n",
944       "</g>\n",
945       "</g>\n",
946       "<!-- V9 -->\n",
947       "<g id=\"node10\" class=\"node\">\n",
948       "<title>V9</title>\n",
949       "<g id=\"a_node10\"><a xlink:title=\"(10) V9\">\n",
950       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"503\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
951       "<text text-anchor=\"middle\" x=\"503\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V9</text>\n",
952       "</a>\n",
953       "</g>\n",
954       "</g>\n",
955       "<!-- V9&#45;&gt;V2 -->\n",
956       "<g id=\"edge5\" class=\"edge\">\n",
957       "<title>V9-&gt;V2</title>\n",
958       "<g id=\"a_edge5\"><a xlink:title=\"(10, 3) : \">\n",
959       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M486.23,-363.5C473.35,-353.14 455.37,-338.67 440.82,-326.97\"/>\n",
960       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"442.71,-324 432.72,-320.46 438.32,-329.45 442.71,-324\"/>\n",
961       "</a>\n",
962       "</g>\n",
963       "</g>\n",
964       "<!-- V10 -->\n",
965       "<g id=\"node25\" class=\"node\">\n",
966       "<title>V10</title>\n",
967       "<g id=\"a_node25\"><a xlink:title=\"(11) V10\">\n",
968       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"503\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
969       "<text text-anchor=\"middle\" x=\"503\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V10</text>\n",
970       "</a>\n",
971       "</g>\n",
972       "</g>\n",
973       "<!-- V9&#45;&gt;V10 -->\n",
974       "<g id=\"edge16\" class=\"edge\">\n",
975       "<title>V9-&gt;V10</title>\n",
976       "<g id=\"a_edge16\"><a xlink:title=\"(10, 11) : \">\n",
977       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M503,-359.7C503,-351.98 503,-342.71 503,-334.11\"/>\n",
978       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"506.5,-334.1 503,-324.1 499.5,-334.1 506.5,-334.1\"/>\n",
979       "</a>\n",
980       "</g>\n",
981       "</g>\n",
982       "<!-- V12 -->\n",
983       "<g id=\"node11\" class=\"node\">\n",
984       "<title>V12</title>\n",
985       "<g id=\"a_node11\"><a xlink:title=\"(13) V12\">\n",
986       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"647\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
987       "<text text-anchor=\"middle\" x=\"647\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V12</text>\n",
988       "</a>\n",
989       "</g>\n",
990       "</g>\n",
991       "<!-- V13 -->\n",
992       "<g id=\"node19\" class=\"node\">\n",
993       "<title>V13</title>\n",
994       "<g id=\"a_node19\"><a xlink:title=\"(14) V13\">\n",
995       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"575\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
996       "<text text-anchor=\"middle\" x=\"575\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V13</text>\n",
997       "</a>\n",
998       "</g>\n",
999       "</g>\n",
1000       "<!-- V12&#45;&gt;V13 -->\n",
1001       "<g id=\"edge7\" class=\"edge\">\n",
1002       "<title>V12-&gt;V13</title>\n",
1003       "<g id=\"a_edge7\"><a xlink:title=\"(13, 14) : \">\n",
1004       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M632.43,-362.83C622.25,-352.94 608.48,-339.55 596.97,-328.36\"/>\n",
1005       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"599.41,-325.85 589.8,-321.38 594.53,-330.87 599.41,-325.85\"/>\n",
1006       "</a>\n",
1007       "</g>\n",
1008       "</g>\n",
1009       "<!-- V11 -->\n",
1010       "<g id=\"node26\" class=\"node\">\n",
1011       "<title>V11</title>\n",
1012       "<g id=\"a_node26\"><a xlink:title=\"(12) V11\">\n",
1013       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"647\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1014       "<text text-anchor=\"middle\" x=\"647\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V11</text>\n",
1015       "</a>\n",
1016       "</g>\n",
1017       "</g>\n",
1018       "<!-- V12&#45;&gt;V11 -->\n",
1019       "<g id=\"edge27\" class=\"edge\">\n",
1020       "<title>V12-&gt;V11</title>\n",
1021       "<g id=\"a_edge27\"><a xlink:title=\"(13, 12) : \">\n",
1022       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M647,-359.7C647,-351.98 647,-342.71 647,-334.11\"/>\n",
1023       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"650.5,-334.1 647,-324.1 643.5,-334.1 650.5,-334.1\"/>\n",
1024       "</a>\n",
1025       "</g>\n",
1026       "</g>\n",
1027       "<!-- V15 -->\n",
1028       "<g id=\"node27\" class=\"node\">\n",
1029       "<title>V15</title>\n",
1030       "<g id=\"a_node27\"><a xlink:title=\"(16) V15\">\n",
1031       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"719\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1032       "<text text-anchor=\"middle\" x=\"719\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V15</text>\n",
1033       "</a>\n",
1034       "</g>\n",
1035       "</g>\n",
1036       "<!-- V12&#45;&gt;V15 -->\n",
1037       "<g id=\"edge19\" class=\"edge\">\n",
1038       "<title>V12-&gt;V15</title>\n",
1039       "<g id=\"a_edge19\"><a xlink:title=\"(13, 16) : \">\n",
1040       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M661.57,-362.83C671.75,-352.94 685.52,-339.55 697.03,-328.36\"/>\n",
1041       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"699.47,-330.87 704.2,-321.38 694.59,-325.85 699.47,-330.87\"/>\n",
1042       "</a>\n",
1043       "</g>\n",
1044       "</g>\n",
1045       "<!-- V7&#45;&gt;V8 -->\n",
1046       "<g id=\"edge3\" class=\"edge\">\n",
1047       "<title>V7-&gt;V8</title>\n",
1048       "<g id=\"a_edge3\"><a xlink:title=\"(8, 9) : \">\n",
1049       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M84.43,-218.83C74.25,-208.94 60.48,-195.55 48.97,-184.36\"/>\n",
1050       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"51.41,-181.85 41.8,-177.38 46.53,-186.87 51.41,-181.85\"/>\n",
1051       "</a>\n",
1052       "</g>\n",
1053       "</g>\n",
1054       "<!-- V5 -->\n",
1055       "<g id=\"node29\" class=\"node\">\n",
1056       "<title>V5</title>\n",
1057       "<g id=\"a_node29\"><a xlink:title=\"(6) V5\">\n",
1058       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"99\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1059       "<text text-anchor=\"middle\" x=\"99\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V5</text>\n",
1060       "</a>\n",
1061       "</g>\n",
1062       "</g>\n",
1063       "<!-- V7&#45;&gt;V5 -->\n",
1064       "<g id=\"edge6\" class=\"edge\">\n",
1065       "<title>V7-&gt;V5</title>\n",
1066       "<g id=\"a_edge6\"><a xlink:title=\"(8, 6) : \">\n",
1067       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M99,-215.7C99,-207.98 99,-198.71 99,-190.11\"/>\n",
1068       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"102.5,-190.1 99,-180.1 95.5,-190.1 102.5,-190.1\"/>\n",
1069       "</a>\n",
1070       "</g>\n",
1071       "</g>\n",
1072       "<!-- V23 -->\n",
1073       "<g id=\"node13\" class=\"node\">\n",
1074       "<title>V23</title>\n",
1075       "<g id=\"a_node13\"><a xlink:title=\"(24) V23\">\n",
1076       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"315\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1077       "<text text-anchor=\"middle\" x=\"315\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V23</text>\n",
1078       "</a>\n",
1079       "</g>\n",
1080       "</g>\n",
1081       "<!-- V14 -->\n",
1082       "<g id=\"node14\" class=\"node\">\n",
1083       "<title>V14</title>\n",
1084       "<g id=\"a_node14\"><a xlink:title=\"(15) V14\">\n",
1085       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"719\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
1086       "<text text-anchor=\"middle\" x=\"719\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V14</text>\n",
1087       "</a>\n",
1088       "</g>\n",
1089       "</g>\n",
1090       "<!-- V1&#45;&gt;V21 -->\n",
1091       "<g id=\"edge20\" class=\"edge\">\n",
1092       "<title>V1-&gt;V21</title>\n",
1093       "<g id=\"a_edge20\"><a xlink:title=\"(2, 22) : \">\n",
1094       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M361.85,-226.91C326.68,-218.1 261.04,-200.57 207,-180 205.16,-179.3 203.28,-178.54 201.4,-177.75\"/>\n",
1095       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"202.64,-174.48 192.08,-173.62 199.81,-180.88 202.64,-174.48\"/>\n",
1096       "</a>\n",
1097       "</g>\n",
1098       "</g>\n",
1099       "<!-- V1&#45;&gt;V3 -->\n",
1100       "<g id=\"edge15\" class=\"edge\">\n",
1101       "<title>V1-&gt;V3</title>\n",
1102       "<g id=\"a_edge15\"><a xlink:title=\"(2, 4) : \">\n",
1103       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M365.75,-222.67C341.4,-210.83 301.28,-191.33 273.57,-177.86\"/>\n",
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1105       "</a>\n",
1106       "</g>\n",
1107       "</g>\n",
1108       "<!-- V1&#45;&gt;V23 -->\n",
1109       "<g id=\"edge30\" class=\"edge\">\n",
1110       "<title>V1-&gt;V23</title>\n",
1111       "<g id=\"a_edge30\"><a xlink:title=\"(2, 24) : \">\n",
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1115       "</g>\n",
1116       "</g>\n",
1117       "<!-- V25 -->\n",
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1119       "<title>V25</title>\n",
1120       "<g id=\"a_node16\"><a xlink:title=\"(26) V25\">\n",
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1123       "</a>\n",
1124       "</g>\n",
1125       "</g>\n",
1126       "<!-- V1&#45;&gt;V25 -->\n",
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1128       "<title>V1-&gt;V25</title>\n",
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1133       "</g>\n",
1134       "</g>\n",
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1137       "<title>V20</title>\n",
1138       "<g id=\"a_node18\"><a xlink:title=\"(21) V20\">\n",
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1141       "</a>\n",
1142       "</g>\n",
1143       "</g>\n",
1144       "<!-- V1&#45;&gt;V20 -->\n",
1145       "<g id=\"edge29\" class=\"edge\">\n",
1146       "<title>V1-&gt;V20</title>\n",
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1151       "</g>\n",
1152       "</g>\n",
1153       "<!-- V27 -->\n",
1154       "<g id=\"node20\" class=\"node\">\n",
1155       "<title>V27</title>\n",
1156       "<g id=\"a_node20\"><a xlink:title=\"(28) V27\">\n",
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1159       "</a>\n",
1160       "</g>\n",
1161       "</g>\n",
1162       "<!-- V1&#45;&gt;V27 -->\n",
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1164       "<title>V1-&gt;V27</title>\n",
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1168       "</a>\n",
1169       "</g>\n",
1170       "</g>\n",
1171       "<!-- V28 -->\n",
1172       "<g id=\"node21\" class=\"node\">\n",
1173       "<title>V28</title>\n",
1174       "<g id=\"a_node21\"><a xlink:title=\"(29) V28\">\n",
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1176       "<text text-anchor=\"middle\" x=\"603\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V28</text>\n",
1177       "</a>\n",
1178       "</g>\n",
1179       "</g>\n",
1180       "<!-- V1&#45;&gt;V28 -->\n",
1181       "<g id=\"edge11\" class=\"edge\">\n",
1182       "<title>V1-&gt;V28</title>\n",
1183       "<g id=\"a_edge11\"><a xlink:title=\"(2, 29) : \">\n",
1184       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M408.03,-222.23C412.87,-219.98 418.05,-217.77 423,-216 485.13,-193.81 504.87,-202.19 567,-180 568.86,-179.34 570.74,-178.61 572.63,-177.84\"/>\n",
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1186       "</a>\n",
1187       "</g>\n",
1188       "</g>\n",
1189       "<!-- V18 -->\n",
1190       "<g id=\"node17\" class=\"node\">\n",
1191       "<title>V18</title>\n",
1192       "<g id=\"a_node17\"><a xlink:title=\"(19) V18\">\n",
1193       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"791\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
1194       "<text text-anchor=\"middle\" x=\"791\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V18</text>\n",
1195       "</a>\n",
1196       "</g>\n",
1197       "</g>\n",
1198       "<!-- V20&#45;&gt;V19 -->\n",
1199       "<g id=\"edge23\" class=\"edge\">\n",
1200       "<title>V20-&gt;V19</title>\n",
1201       "<g id=\"a_edge23\"><a xlink:title=\"(21, 20) : \">\n",
1202       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M459,-143.7C459,-135.98 459,-126.71 459,-118.11\"/>\n",
1203       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"462.5,-118.1 459,-108.1 455.5,-118.1 462.5,-118.1\"/>\n",
1204       "</a>\n",
1205       "</g>\n",
1206       "</g>\n",
1207       "<!-- Time&#45;&gt;V9 -->\n",
1208       "<g id=\"edge28\" class=\"edge\">\n",
1209       "<title>Time-&gt;V9</title>\n",
1210       "<g id=\"a_edge28\"><a xlink:title=\"(1, 10) : \">\n",
1211       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M658.35,-439.41C626.31,-426.96 570.31,-405.18 535.02,-391.45\"/>\n",
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1213       "</a>\n",
1214       "</g>\n",
1215       "</g>\n",
1216       "<!-- Time&#45;&gt;V12 -->\n",
1217       "<g id=\"edge26\" class=\"edge\">\n",
1218       "<title>Time-&gt;V12</title>\n",
1219       "<g id=\"a_edge26\"><a xlink:title=\"(1, 13) : \">\n",
1220       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M674.47,-432.41C670.16,-424.04 664.85,-413.71 660.05,-404.37\"/>\n",
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1222       "</a>\n",
1223       "</g>\n",
1224       "</g>\n",
1225       "<!-- Time&#45;&gt;V14 -->\n",
1226       "<g id=\"edge9\" class=\"edge\">\n",
1227       "<title>Time-&gt;V14</title>\n",
1228       "<g id=\"a_edge9\"><a xlink:title=\"(1, 15) : \">\n",
1229       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M691.53,-432.41C695.84,-424.04 701.15,-413.71 705.95,-404.37\"/>\n",
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1231       "</a>\n",
1232       "</g>\n",
1233       "</g>\n",
1234       "<!-- V17 -->\n",
1235       "<g id=\"node30\" class=\"node\">\n",
1236       "<title>V17</title>\n",
1237       "<g id=\"a_node30\"><a xlink:title=\"(18) V17\">\n",
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1239       "<text text-anchor=\"middle\" x=\"791\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V17</text>\n",
1240       "</a>\n",
1241       "</g>\n",
1242       "</g>\n",
1243       "<!-- Time&#45;&gt;V17 -->\n",
1244       "<g id=\"edge8\" class=\"edge\">\n",
1245       "<title>Time-&gt;V17</title>\n",
1246       "<g id=\"a_edge8\"><a xlink:title=\"(1, 18) : \">\n",
1247       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M702.56,-436.32C719.67,-425.24 744.69,-409.02 763.75,-396.66\"/>\n",
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1249       "</a>\n",
1250       "</g>\n",
1251       "</g>\n",
1252       "<!-- V4 -->\n",
1253       "<g id=\"node24\" class=\"node\">\n",
1254       "<title>V4</title>\n",
1255       "<g id=\"a_node24\"><a xlink:title=\"(5) V4\">\n",
1256       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"660\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
1257       "<text text-anchor=\"middle\" x=\"660\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V4</text>\n",
1258       "</a>\n",
1259       "</g>\n",
1260       "</g>\n",
1261       "<!-- V4&#45;&gt;V26 -->\n",
1262       "<g id=\"edge18\" class=\"edge\">\n",
1263       "<title>V4-&gt;V26</title>\n",
1264       "<g id=\"a_edge18\"><a xlink:title=\"(5, 27) : \">\n",
1265       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M663.63,-216.05C665.3,-208.26 667.32,-198.82 669.2,-190.08\"/>\n",
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1267       "</a>\n",
1268       "</g>\n",
1269       "</g>\n",
1270       "<!-- V10&#45;&gt;V4 -->\n",
1271       "<g id=\"edge4\" class=\"edge\">\n",
1272       "<title>V10-&gt;V4</title>\n",
1273       "<g id=\"a_edge4\"><a xlink:title=\"(11, 5) : \">\n",
1274       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M524.27,-294.83C529.1,-292.56 534.22,-290.18 539,-288 569.09,-274.31 603.65,-259.23 628.12,-248.67\"/>\n",
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1276       "</a>\n",
1277       "</g>\n",
1278       "</g>\n",
1279       "<!-- V16 -->\n",
1280       "<g id=\"node28\" class=\"node\">\n",
1281       "<title>V16</title>\n",
1282       "<g id=\"a_node28\"><a xlink:title=\"(17) V16\">\n",
1283       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"791\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1284       "<text text-anchor=\"middle\" x=\"791\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V16</text>\n",
1285       "</a>\n",
1286       "</g>\n",
1287       "</g>\n",
1288       "<!-- V16&#45;&gt;V18 -->\n",
1289       "<g id=\"edge25\" class=\"edge\">\n",
1290       "<title>V16-&gt;V18</title>\n",
1291       "<g id=\"a_edge25\"><a xlink:title=\"(17, 19) : \">\n",
1292       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M791,-287.7C791,-279.98 791,-270.71 791,-262.11\"/>\n",
1293       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"794.5,-262.1 791,-252.1 787.5,-262.1 794.5,-262.1\"/>\n",
1294       "</a>\n",
1295       "</g>\n",
1296       "</g>\n",
1297       "<!-- V17&#45;&gt;V16 -->\n",
1298       "<g id=\"edge1\" class=\"edge\">\n",
1299       "<title>V17-&gt;V16</title>\n",
1300       "<g id=\"a_edge1\"><a xlink:title=\"(18, 17) : \">\n",
1301       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M791,-359.7C791,-351.98 791,-342.71 791,-334.11\"/>\n",
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1303       "</a>\n",
1304       "</g>\n",
1305       "</g>\n",
1306       "</g>\n",
1307       "</svg>"
1308      ],
1309      "text/plain": [
1310       "<IPython.core.display.SVG object>"
1311      ]
1312     },
1313     "metadata": {},
1314     "output_type": "display_data"
1315    }
1316   ],
1317   "source": [
1318    "gnb.showBN(BNTest.bn)"
1319   ]
1320  },
1321  {
1322   "cell_type": "code",
1323   "execution_count": 9,
1324   "metadata": {
1325    "tags": []
1326   },
1327   "outputs": [
1328    {
1329     "data": {
1330      "image/svg+xml": [
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1332       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 112)\">\n",
1333       "<title>G</title>\n",
1334       "<!-- Class -->\n",
1335       "<g id=\"node1\" class=\"node\">\n",
1336       "<title>Class</title>\n",
1337       "<g id=\"a_node1\"><a xlink:title=\"(0) Class\">\n",
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1339       "<text text-anchor=\"middle\" x=\"30.55\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Class</text>\n",
1340       "</a>\n",
1341       "</g>\n",
1342       "</g>\n",
1343       "<!-- Time -->\n",
1344       "<g id=\"node2\" class=\"node\">\n",
1345       "<title>Time</title>\n",
1346       "<g id=\"a_node2\"><a xlink:title=\"(1) Time\">\n",
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1348       "<text text-anchor=\"middle\" x=\"30.55\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Time</text>\n",
1349       "</a>\n",
1350       "</g>\n",
1351       "</g>\n",
1352       "<!-- Class&#45;&gt;Time -->\n",
1353       "<g id=\"edge1\" class=\"edge\">\n",
1354       "<title>Class-&gt;Time</title>\n",
1355       "<g id=\"a_edge1\"><a xlink:title=\"(0, 1) : \">\n",
1356       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M30.55,-71.7C30.55,-63.98 30.55,-54.71 30.55,-46.11\"/>\n",
1357       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"34.05,-46.1 30.55,-36.1 27.05,-46.1 34.05,-46.1\"/>\n",
1358       "</a>\n",
1359       "</g>\n",
1360       "</g>\n",
1361       "</g>\n",
1362       "</svg>"
1363      ],
1364      "text/plain": [
1365       "<IPython.core.display.SVG object>"
1366      ]
1367     },
1368     "metadata": {},
1369     "output_type": "display_data"
1370    }
1371   ],
1372   "source": [
1373    "gnb.showBN(BNTest.MarkovBlanket) "
1374   ]
1375  },
1376  {
1377   "cell_type": "markdown",
1378   "metadata": {},
1379   "source": [
1380    "# Create a classifier from a Bayesian network"
1381   ]
1382  },
1383  {
1384   "cell_type": "markdown",
1385   "metadata": {},
1386   "source": [
1387    "If we already have a Bayesian network with learned parameters, we can create a classifier that uses it. In this case we do not have to train the classifier on data since it the Bayesian network is already trained."
1388   ]
1389  },
1390  {
1391   "cell_type": "code",
1392   "execution_count": 10,
1393   "metadata": {
1394    "tags": []
1395   },
1396   "outputs": [],
1397   "source": [
1398    "ClassfromBN = skbn.BNClassifier(significant_digit = 7)"
1399   ]
1400  },
1401  {
1402   "cell_type": "code",
1403   "execution_count": 11,
1404   "metadata": {
1405    "tags": []
1406   },
1407   "outputs": [],
1408   "source": [
1409    "ClassfromBN.fromTrainedModel(bn = BNTest.bn, targetAttribute = 'Class', targetModality = '1.0', \n",
1410    "                             threshold = BNTest.threshold, variableList = xTrain.columns.tolist())"
1411   ]
1412  },
1413  {
1414   "cell_type": "code",
1415   "execution_count": 12,
1416   "metadata": {
1417    "tags": []
1418   },
1419   "outputs": [
1420    {
1421     "data": {
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1424       "<g id=\"graph0\" class=\"graph\" transform=\"scale(0.44 0.44) rotate(0) translate(4 544)\">\n",
1425       "<title>G</title>\n",
1426       "<!-- V21 -->\n",
1427       "<g id=\"node1\" class=\"node\">\n",
1428       "<title>V21</title>\n",
1429       "<g id=\"a_node1\"><a xlink:title=\"(22) V21\">\n",
1430       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"171\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1431       "<text text-anchor=\"middle\" x=\"171\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V21</text>\n",
1432       "</a>\n",
1433       "</g>\n",
1434       "</g>\n",
1435       "<!-- V22 -->\n",
1436       "<g id=\"node9\" class=\"node\">\n",
1437       "<title>V22</title>\n",
1438       "<g id=\"a_node9\"><a xlink:title=\"(23) V22\">\n",
1439       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"171\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
1440       "<text text-anchor=\"middle\" x=\"171\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V22</text>\n",
1441       "</a>\n",
1442       "</g>\n",
1443       "</g>\n",
1444       "<!-- V21&#45;&gt;V22 -->\n",
1445       "<g id=\"edge2\" class=\"edge\">\n",
1446       "<title>V21-&gt;V22</title>\n",
1447       "<g id=\"a_edge2\"><a xlink:title=\"(22, 23) : \">\n",
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1450       "</a>\n",
1451       "</g>\n",
1452       "</g>\n",
1453       "<!-- V26 -->\n",
1454       "<g id=\"node2\" class=\"node\">\n",
1455       "<title>V26</title>\n",
1456       "<g id=\"a_node2\"><a xlink:title=\"(27) V26\">\n",
1457       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"675\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1458       "<text text-anchor=\"middle\" x=\"675\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V26</text>\n",
1459       "</a>\n",
1460       "</g>\n",
1461       "</g>\n",
1462       "<!-- V19 -->\n",
1463       "<g id=\"node3\" class=\"node\">\n",
1464       "<title>V19</title>\n",
1465       "<g id=\"a_node3\"><a xlink:title=\"(20) V19\">\n",
1466       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"459\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
1467       "<text text-anchor=\"middle\" x=\"459\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V19</text>\n",
1468       "</a>\n",
1469       "</g>\n",
1470       "</g>\n",
1471       "<!-- V3 -->\n",
1472       "<g id=\"node4\" class=\"node\">\n",
1473       "<title>V3</title>\n",
1474       "<g id=\"a_node4\"><a xlink:title=\"(4) V3\">\n",
1475       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"243\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1476       "<text text-anchor=\"middle\" x=\"243\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V3</text>\n",
1477       "</a>\n",
1478       "</g>\n",
1479       "</g>\n",
1480       "<!-- Class -->\n",
1481       "<g id=\"node5\" class=\"node\">\n",
1482       "<title>Class</title>\n",
1483       "<g id=\"a_node5\"><a xlink:title=\"(0) Class\">\n",
1484       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"683\" cy=\"-522\" rx=\"30.59\" ry=\"18\"/>\n",
1485       "<text text-anchor=\"middle\" x=\"683\" y=\"-518.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Class</text>\n",
1486       "</a>\n",
1487       "</g>\n",
1488       "</g>\n",
1489       "<!-- Time -->\n",
1490       "<g id=\"node23\" class=\"node\">\n",
1491       "<title>Time</title>\n",
1492       "<g id=\"a_node23\"><a xlink:title=\"(1) Time\">\n",
1493       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"683\" cy=\"-450\" rx=\"29.8\" ry=\"18\"/>\n",
1494       "<text text-anchor=\"middle\" x=\"683\" y=\"-446.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Time</text>\n",
1495       "</a>\n",
1496       "</g>\n",
1497       "</g>\n",
1498       "<!-- Class&#45;&gt;Time -->\n",
1499       "<g id=\"edge14\" class=\"edge\">\n",
1500       "<title>Class-&gt;Time</title>\n",
1501       "<g id=\"a_edge14\"><a xlink:title=\"(0, 1) : \">\n",
1502       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M683,-503.7C683,-495.98 683,-486.71 683,-478.11\"/>\n",
1503       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"686.5,-478.1 683,-468.1 679.5,-478.1 686.5,-478.1\"/>\n",
1504       "</a>\n",
1505       "</g>\n",
1506       "</g>\n",
1507       "<!-- V2 -->\n",
1508       "<g id=\"node6\" class=\"node\">\n",
1509       "<title>V2</title>\n",
1510       "<g id=\"a_node6\"><a xlink:title=\"(3) V2\">\n",
1511       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"416\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1512       "<text text-anchor=\"middle\" x=\"416\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V2</text>\n",
1513       "</a>\n",
1514       "</g>\n",
1515       "</g>\n",
1516       "<!-- V7 -->\n",
1517       "<g id=\"node12\" class=\"node\">\n",
1518       "<title>V7</title>\n",
1519       "<g id=\"a_node12\"><a xlink:title=\"(8) V7\">\n",
1520       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"99\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
1521       "<text text-anchor=\"middle\" x=\"99\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V7</text>\n",
1522       "</a>\n",
1523       "</g>\n",
1524       "</g>\n",
1525       "<!-- V2&#45;&gt;V7 -->\n",
1526       "<g id=\"edge24\" class=\"edge\">\n",
1527       "<title>V2-&gt;V7</title>\n",
1528       "<g id=\"a_edge24\"><a xlink:title=\"(3, 8) : \">\n",
1529       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M390.59,-299.39C334.37,-286.97 199.29,-257.15 134.64,-242.87\"/>\n",
1530       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"135.05,-239.38 124.53,-240.64 133.54,-246.21 135.05,-239.38\"/>\n",
1531       "</a>\n",
1532       "</g>\n",
1533       "</g>\n",
1534       "<!-- V1 -->\n",
1535       "<g id=\"node15\" class=\"node\">\n",
1536       "<title>V1</title>\n",
1537       "<g id=\"a_node15\"><a xlink:title=\"(2) V1\">\n",
1538       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"387\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
1539       "<text text-anchor=\"middle\" x=\"387\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V1</text>\n",
1540       "</a>\n",
1541       "</g>\n",
1542       "</g>\n",
1543       "<!-- V2&#45;&gt;V1 -->\n",
1544       "<g id=\"edge22\" class=\"edge\">\n",
1545       "<title>V2-&gt;V1</title>\n",
1546       "<g id=\"a_edge22\"><a xlink:title=\"(3, 2) : \">\n",
1547       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M409.13,-288.41C405.73,-280.22 401.56,-270.14 397.75,-260.95\"/>\n",
1548       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"400.88,-259.37 393.82,-251.47 394.42,-262.05 400.88,-259.37\"/>\n",
1549       "</a>\n",
1550       "</g>\n",
1551       "</g>\n",
1552       "<!-- Amount -->\n",
1553       "<g id=\"node31\" class=\"node\">\n",
1554       "<title>Amount</title>\n",
1555       "<g id=\"a_node31\"><a xlink:title=\"(30) Amount\">\n",
1556       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"472\" cy=\"-234\" rx=\"40.09\" ry=\"18\"/>\n",
1557       "<text text-anchor=\"middle\" x=\"472\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Amount</text>\n",
1558       "</a>\n",
1559       "</g>\n",
1560       "</g>\n",
1561       "<!-- V2&#45;&gt;Amount -->\n",
1562       "<g id=\"edge17\" class=\"edge\">\n",
1563       "<title>V2-&gt;Amount</title>\n",
1564       "<g id=\"a_edge17\"><a xlink:title=\"(3, 30) : \">\n",
1565       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M428.15,-289.81C435.36,-280.8 444.66,-269.18 452.84,-258.95\"/>\n",
1566       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"455.58,-261.13 459.09,-251.13 450.11,-256.76 455.58,-261.13\"/>\n",
1567       "</a>\n",
1568       "</g>\n",
1569       "</g>\n",
1570       "<!-- V8 -->\n",
1571       "<g id=\"node7\" class=\"node\">\n",
1572       "<title>V8</title>\n",
1573       "<g id=\"a_node7\"><a xlink:title=\"(9) V8\">\n",
1574       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1575       "<text text-anchor=\"middle\" x=\"27\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V8</text>\n",
1576       "</a>\n",
1577       "</g>\n",
1578       "</g>\n",
1579       "<!-- V6 -->\n",
1580       "<g id=\"node8\" class=\"node\">\n",
1581       "<title>V6</title>\n",
1582       "<g id=\"a_node8\"><a xlink:title=\"(7) V6\">\n",
1583       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
1584       "<text text-anchor=\"middle\" x=\"27\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V6</text>\n",
1585       "</a>\n",
1586       "</g>\n",
1587       "</g>\n",
1588       "<!-- V8&#45;&gt;V6 -->\n",
1589       "<g id=\"edge13\" class=\"edge\">\n",
1590       "<title>V8-&gt;V6</title>\n",
1591       "<g id=\"a_edge13\"><a xlink:title=\"(9, 7) : \">\n",
1592       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M27,-143.7C27,-135.98 27,-126.71 27,-118.11\"/>\n",
1593       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"30.5,-118.1 27,-108.1 23.5,-118.1 30.5,-118.1\"/>\n",
1594       "</a>\n",
1595       "</g>\n",
1596       "</g>\n",
1597       "<!-- V24 -->\n",
1598       "<g id=\"node22\" class=\"node\">\n",
1599       "<title>V24</title>\n",
1600       "<g id=\"a_node22\"><a xlink:title=\"(25) V24\">\n",
1601       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"27\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
1602       "<text text-anchor=\"middle\" x=\"27\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V24</text>\n",
1603       "</a>\n",
1604       "</g>\n",
1605       "</g>\n",
1606       "<!-- V6&#45;&gt;V24 -->\n",
1607       "<g id=\"edge12\" class=\"edge\">\n",
1608       "<title>V6-&gt;V24</title>\n",
1609       "<g id=\"a_edge12\"><a xlink:title=\"(7, 25) : \">\n",
1610       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M27,-71.7C27,-63.98 27,-54.71 27,-46.11\"/>\n",
1611       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1\"/>\n",
1612       "</a>\n",
1613       "</g>\n",
1614       "</g>\n",
1615       "<!-- V9 -->\n",
1616       "<g id=\"node10\" class=\"node\">\n",
1617       "<title>V9</title>\n",
1618       "<g id=\"a_node10\"><a xlink:title=\"(10) V9\">\n",
1619       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"503\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
1620       "<text text-anchor=\"middle\" x=\"503\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V9</text>\n",
1621       "</a>\n",
1622       "</g>\n",
1623       "</g>\n",
1624       "<!-- V9&#45;&gt;V2 -->\n",
1625       "<g id=\"edge5\" class=\"edge\">\n",
1626       "<title>V9-&gt;V2</title>\n",
1627       "<g id=\"a_edge5\"><a xlink:title=\"(10, 3) : \">\n",
1628       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M486.23,-363.5C473.35,-353.14 455.37,-338.67 440.82,-326.97\"/>\n",
1629       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"442.71,-324 432.72,-320.46 438.32,-329.45 442.71,-324\"/>\n",
1630       "</a>\n",
1631       "</g>\n",
1632       "</g>\n",
1633       "<!-- V10 -->\n",
1634       "<g id=\"node25\" class=\"node\">\n",
1635       "<title>V10</title>\n",
1636       "<g id=\"a_node25\"><a xlink:title=\"(11) V10\">\n",
1637       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"503\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1638       "<text text-anchor=\"middle\" x=\"503\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V10</text>\n",
1639       "</a>\n",
1640       "</g>\n",
1641       "</g>\n",
1642       "<!-- V9&#45;&gt;V10 -->\n",
1643       "<g id=\"edge16\" class=\"edge\">\n",
1644       "<title>V9-&gt;V10</title>\n",
1645       "<g id=\"a_edge16\"><a xlink:title=\"(10, 11) : \">\n",
1646       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M503,-359.7C503,-351.98 503,-342.71 503,-334.11\"/>\n",
1647       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"506.5,-334.1 503,-324.1 499.5,-334.1 506.5,-334.1\"/>\n",
1648       "</a>\n",
1649       "</g>\n",
1650       "</g>\n",
1651       "<!-- V12 -->\n",
1652       "<g id=\"node11\" class=\"node\">\n",
1653       "<title>V12</title>\n",
1654       "<g id=\"a_node11\"><a xlink:title=\"(13) V12\">\n",
1655       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"647\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
1656       "<text text-anchor=\"middle\" x=\"647\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V12</text>\n",
1657       "</a>\n",
1658       "</g>\n",
1659       "</g>\n",
1660       "<!-- V13 -->\n",
1661       "<g id=\"node19\" class=\"node\">\n",
1662       "<title>V13</title>\n",
1663       "<g id=\"a_node19\"><a xlink:title=\"(14) V13\">\n",
1664       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"575\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1665       "<text text-anchor=\"middle\" x=\"575\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V13</text>\n",
1666       "</a>\n",
1667       "</g>\n",
1668       "</g>\n",
1669       "<!-- V12&#45;&gt;V13 -->\n",
1670       "<g id=\"edge7\" class=\"edge\">\n",
1671       "<title>V12-&gt;V13</title>\n",
1672       "<g id=\"a_edge7\"><a xlink:title=\"(13, 14) : \">\n",
1673       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M632.43,-362.83C622.25,-352.94 608.48,-339.55 596.97,-328.36\"/>\n",
1674       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"599.41,-325.85 589.8,-321.38 594.53,-330.87 599.41,-325.85\"/>\n",
1675       "</a>\n",
1676       "</g>\n",
1677       "</g>\n",
1678       "<!-- V11 -->\n",
1679       "<g id=\"node26\" class=\"node\">\n",
1680       "<title>V11</title>\n",
1681       "<g id=\"a_node26\"><a xlink:title=\"(12) V11\">\n",
1682       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"647\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1683       "<text text-anchor=\"middle\" x=\"647\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V11</text>\n",
1684       "</a>\n",
1685       "</g>\n",
1686       "</g>\n",
1687       "<!-- V12&#45;&gt;V11 -->\n",
1688       "<g id=\"edge27\" class=\"edge\">\n",
1689       "<title>V12-&gt;V11</title>\n",
1690       "<g id=\"a_edge27\"><a xlink:title=\"(13, 12) : \">\n",
1691       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M647,-359.7C647,-351.98 647,-342.71 647,-334.11\"/>\n",
1692       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"650.5,-334.1 647,-324.1 643.5,-334.1 650.5,-334.1\"/>\n",
1693       "</a>\n",
1694       "</g>\n",
1695       "</g>\n",
1696       "<!-- V15 -->\n",
1697       "<g id=\"node27\" class=\"node\">\n",
1698       "<title>V15</title>\n",
1699       "<g id=\"a_node27\"><a xlink:title=\"(16) V15\">\n",
1700       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"719\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
1701       "<text text-anchor=\"middle\" x=\"719\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V15</text>\n",
1702       "</a>\n",
1703       "</g>\n",
1704       "</g>\n",
1705       "<!-- V12&#45;&gt;V15 -->\n",
1706       "<g id=\"edge19\" class=\"edge\">\n",
1707       "<title>V12-&gt;V15</title>\n",
1708       "<g id=\"a_edge19\"><a xlink:title=\"(13, 16) : \">\n",
1709       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M661.57,-362.83C671.75,-352.94 685.52,-339.55 697.03,-328.36\"/>\n",
1710       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"699.47,-330.87 704.2,-321.38 694.59,-325.85 699.47,-330.87\"/>\n",
1711       "</a>\n",
1712       "</g>\n",
1713       "</g>\n",
1714       "<!-- V7&#45;&gt;V8 -->\n",
1715       "<g id=\"edge3\" class=\"edge\">\n",
1716       "<title>V7-&gt;V8</title>\n",
1717       "<g id=\"a_edge3\"><a xlink:title=\"(8, 9) : \">\n",
1718       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M84.43,-218.83C74.25,-208.94 60.48,-195.55 48.97,-184.36\"/>\n",
1719       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"51.41,-181.85 41.8,-177.38 46.53,-186.87 51.41,-181.85\"/>\n",
1720       "</a>\n",
1721       "</g>\n",
1722       "</g>\n",
1723       "<!-- V5 -->\n",
1724       "<g id=\"node29\" class=\"node\">\n",
1725       "<title>V5</title>\n",
1726       "<g id=\"a_node29\"><a xlink:title=\"(6) V5\">\n",
1727       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"99\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1728       "<text text-anchor=\"middle\" x=\"99\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V5</text>\n",
1729       "</a>\n",
1730       "</g>\n",
1731       "</g>\n",
1732       "<!-- V7&#45;&gt;V5 -->\n",
1733       "<g id=\"edge6\" class=\"edge\">\n",
1734       "<title>V7-&gt;V5</title>\n",
1735       "<g id=\"a_edge6\"><a xlink:title=\"(8, 6) : \">\n",
1736       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M99,-215.7C99,-207.98 99,-198.71 99,-190.11\"/>\n",
1737       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"102.5,-190.1 99,-180.1 95.5,-190.1 102.5,-190.1\"/>\n",
1738       "</a>\n",
1739       "</g>\n",
1740       "</g>\n",
1741       "<!-- V23 -->\n",
1742       "<g id=\"node13\" class=\"node\">\n",
1743       "<title>V23</title>\n",
1744       "<g id=\"a_node13\"><a xlink:title=\"(24) V23\">\n",
1745       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"315\" cy=\"-162\" rx=\"27\" ry=\"18\"/>\n",
1746       "<text text-anchor=\"middle\" x=\"315\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V23</text>\n",
1747       "</a>\n",
1748       "</g>\n",
1749       "</g>\n",
1750       "<!-- V14 -->\n",
1751       "<g id=\"node14\" class=\"node\">\n",
1752       "<title>V14</title>\n",
1753       "<g id=\"a_node14\"><a xlink:title=\"(15) V14\">\n",
1754       "<ellipse fill=\"#404040\" stroke=\"black\" cx=\"719\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
1755       "<text text-anchor=\"middle\" x=\"719\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">V14</text>\n",
1756       "</a>\n",
1757       "</g>\n",
1758       "</g>\n",
1759       "<!-- V1&#45;&gt;V21 -->\n",
1760       "<g id=\"edge20\" class=\"edge\">\n",
1761       "<title>V1-&gt;V21</title>\n",
1762       "<g id=\"a_edge20\"><a xlink:title=\"(2, 22) : \">\n",
1763       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M361.85,-226.91C326.68,-218.1 261.04,-200.57 207,-180 205.16,-179.3 203.28,-178.54 201.4,-177.75\"/>\n",
1764       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"202.64,-174.48 192.08,-173.62 199.81,-180.88 202.64,-174.48\"/>\n",
1765       "</a>\n",
1766       "</g>\n",
1767       "</g>\n",
1768       "<!-- V1&#45;&gt;V3 -->\n",
1769       "<g id=\"edge15\" class=\"edge\">\n",
1770       "<title>V1-&gt;V3</title>\n",
1771       "<g id=\"a_edge15\"><a xlink:title=\"(2, 4) : \">\n",
1772       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M365.75,-222.67C341.4,-210.83 301.28,-191.33 273.57,-177.86\"/>\n",
1773       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"274.86,-174.6 264.33,-173.37 271.8,-180.89 274.86,-174.6\"/>\n",
1774       "</a>\n",
1775       "</g>\n",
1776       "</g>\n",
1777       "<!-- V1&#45;&gt;V23 -->\n",
1778       "<g id=\"edge30\" class=\"edge\">\n",
1779       "<title>V1-&gt;V23</title>\n",
1780       "<g id=\"a_edge30\"><a xlink:title=\"(2, 24) : \">\n",
1781       "<path fill=\"none\" stroke=\"#4a4a4a\" d=\"M372.43,-218.83C362.25,-208.94 348.48,-195.55 336.97,-184.36\"/>\n",
1782       "<polygon fill=\"#4a4a4a\" stroke=\"#4a4a4a\" points=\"339.41,-181.85 329.8,-177.38 334.53,-186.87 339.41,-181.85\"/>\n",
1783       "</a>\n",
1784       "</g>\n",
1785       "</g>\n",
1786       "<!-- V25 -->\n",
1787       "<g id=\"node16\" class=\"node\">\n",
1788       "<title>V25</title>\n",
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1911       "</g>\n",
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1956       "</g>\n",
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1959       "<title>V16-&gt;V18</title>\n",
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1964       "</g>\n",
1965       "</g>\n",
1966       "<!-- V17&#45;&gt;V16 -->\n",
1967       "<g id=\"edge1\" class=\"edge\">\n",
1968       "<title>V17-&gt;V16</title>\n",
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1973       "</g>\n",
1974       "</g>\n",
1975       "</g>\n",
1976       "</svg>"
1977      ],
1978      "text/plain": [
1979       "<IPython.core.display.SVG object>"
1980      ]
1981     },
1982     "metadata": {},
1983     "output_type": "display_data"
1984    }
1985   ],
1986   "source": [
1987    "gnb.showBN(ClassfromBN.bn)"
1988   ]
1989  },
1990  {
1991   "cell_type": "code",
1992   "execution_count": 13,
1993   "metadata": {
1994    "tags": []
1995   },
1996   "outputs": [
1997    {
1998     "data": {
1999      "image/svg+xml": [
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2001       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 112)\">\n",
2002       "<title>G</title>\n",
2003       "<!-- Class -->\n",
2004       "<g id=\"node1\" class=\"node\">\n",
2005       "<title>Class</title>\n",
2006       "<g id=\"a_node1\"><a xlink:title=\"(0) Class\">\n",
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2009       "</a>\n",
2010       "</g>\n",
2011       "</g>\n",
2012       "<!-- Time -->\n",
2013       "<g id=\"node2\" class=\"node\">\n",
2014       "<title>Time</title>\n",
2015       "<g id=\"a_node2\"><a xlink:title=\"(1) Time\">\n",
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2017       "<text text-anchor=\"middle\" x=\"30.55\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"white\">Time</text>\n",
2018       "</a>\n",
2019       "</g>\n",
2020       "</g>\n",
2021       "<!-- Class&#45;&gt;Time -->\n",
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2029       "</g>\n",
2030       "</g>\n",
2031       "</svg>"
2032      ],
2033      "text/plain": [
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2036     },
2037     "metadata": {},
2038     "output_type": "display_data"
2039    }
2040   ],
2041   "source": [
2042    "gnb.showBN(ClassfromBN.MarkovBlanket)"
2043   ]
2044  },
2045  {
2046   "cell_type": "markdown",
2047   "metadata": {},
2048   "source": [
2049    "Then, we work with functions from scikit-learn like score.\n",
2050    "We can also call it with a csv file or two array-likes."
2051   ]
2052  },
2053  {
2054   "cell_type": "code",
2055   "execution_count": 14,
2056   "metadata": {
2057    "tags": []
2058   },
2059   "outputs": [],
2060   "source": [
2061    "xTest, yTest = ClassfromBN.XYfromCSV(filename = 'res/creditCardTest.csv', target = 'Class')"
2062   ]
2063  },
2064  {
2065   "cell_type": "markdown",
2066   "metadata": {},
2067   "source": [
2068    "# Prediction with csv file"
2069   ]
2070  },
2071  {
2072   "cell_type": "code",
2073   "execution_count": 15,
2074   "metadata": {
2075    "tags": []
2076   },
2077   "outputs": [
2078    {
2079     "name": "stdout",
2080     "output_type": "stream",
2081     "text": [
2082      "84.38% good predictions\n"
2083     ]
2084    }
2085   ],
2086   "source": [
2087    "scoreCSV1 = BNTest.score('res/creditCardTest.csv', y = yTest)\n",
2088    "print(\"{0:.2f}% good predictions\".format(100*scoreCSV1)) "
2089   ]
2090  },
2091  {
2092   "cell_type": "code",
2093   "execution_count": 16,
2094   "metadata": {
2095    "tags": []
2096   },
2097   "outputs": [
2098    {
2099     "name": "stdout",
2100     "output_type": "stream",
2101     "text": [
2102      "84.38% good predictions\n"
2103     ]
2104    }
2105   ],
2106   "source": [
2107    "scoreCSV2 = ClassfromBN.score('res/creditCardTest.csv', y = yTest)\n",
2108    "print(\"{0:.2f}% good predictions\".format(100*scoreCSV2)) "
2109   ]
2110  },
2111  {
2112   "cell_type": "markdown",
2113   "metadata": {},
2114   "source": [
2115    "## Prediction with array-like"
2116   ]
2117  },
2118  {
2119   "cell_type": "code",
2120   "execution_count": 17,
2121   "metadata": {
2122    "tags": []
2123   },
2124   "outputs": [
2125    {
2126     "name": "stdout",
2127     "output_type": "stream",
2128     "text": [
2129      "84.38% good predictions\n"
2130     ]
2131    }
2132   ],
2133   "source": [
2134    "scoreAR1 = BNTest.score(xTest, yTest)\n",
2135    "print(\"{0:.2f}% good predictions\".format(100*scoreAR1)) "
2136   ]
2137  },
2138  {
2139   "cell_type": "code",
2140   "execution_count": 18,
2141   "metadata": {
2142    "tags": []
2143   },
2144   "outputs": [
2145    {
2146     "name": "stdout",
2147     "output_type": "stream",
2148     "text": [
2149      "84.38% good predictions\n"
2150     ]
2151    }
2152   ],
2153   "source": [
2154    "scoreAR2 = ClassfromBN.score(xTest, yTest)\n",
2155    "print(\"{0:.2f}% good predictions\".format(100*scoreAR2)) "
2156   ]
2157  },
2158  {
2159   "cell_type": "markdown",
2160   "metadata": {},
2161   "source": [
2162    "# ROC and Precision-Recall curves with all methods"
2163   ]
2164  },
2165  {
2166   "cell_type": "markdown",
2167   "metadata": {},
2168   "source": [
2169    "In addition (and of  course), we can work with functions from pyAgrum (from  `pyAgrum.lib.bn2roc`)."
2170   ]
2171  },
2172  {
2173   "cell_type": "code",
2174   "execution_count": 19,
2175   "metadata": {
2176    "tags": []
2177   },
2178   "outputs": [
2179    {
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4423   ],
4424   "source": [
4425    "BNTest.showROC_PR('res/creditCardTest.csv')"
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4427  },
4428  {
4429   "cell_type": "markdown",
4430   "metadata": {
4431    "tags": []
4432   },
4433   "source": [
4434    "# Explaining the classifier : ShapValues and Independence Lists\n",
4435    "\n",
4436    "(tbd)"
4437   ]
4438  },
4439  {
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