{"id":24262,"date":"2021-03-06T15:08:04","date_gmt":"2021-03-06T07:08:04","guid":{"rendered":"https:\/\/swarma.org\/?p=24262"},"modified":"2021-03-06T15:08:04","modified_gmt":"2021-03-06T07:08:04","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e6%a6%82%e7%8e%87%e5%9b%be%e6%a8%a1%e5%9e%8b%ef%bc%9a%e8%a1%a8%e7%a4%ba%e3%80%81%e6%8e%a8%e7%90%86%e4%b8%8e%e5%ad%a6%e4%b9%a0-%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=24262","title":{"rendered":"\u4ec0\u4e48\u662f\u6982\u7387\u56fe\u6a21\u578b\uff1a\u8868\u793a\u3001\u63a8\u7406\u4e0e\u5b66\u4e60 | \u96c6\u667a\u767e\u79d1 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"<div class='wxsyncmain'>                                                                                                          <img class=\"rich_pages\" data-ratio=\"0.4458370635631155\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1117\" style=\"\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-292efb2fff33b1baa1406cfc3513072f.png\"  \/><\/p>\n<p>\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01<\/p>\n<p>\u672c\u6587\u662f\u5bf9\u96c6\u667a\u767e\u79d1\u4e2d\u201c\u6982\u7387\u56fe\u6a21\u578b\u201d\u8bcd\u6761\u7684\u6458\u5f55\uff0c\u53c2\u8003\u8d44\u6599\u53ca\u76f8\u5173\u8bcd\u6761\u8bf7\u53c2\u9605\u767e\u79d1\u8bcd\u6761\u539f\u6587\u3002<br  \/>\u672c\u8bcd\u6761\u7531\u96c6\u667a\u4ff1\u4e50\u90e8\u4f17\u5305\u751f\u4ea7\uff0c\u96be\u514d\u5b58\u5728\u7eb0\u6f0f\u548c\u95ee\u9898\uff0c\u6b22\u8fce\u5927\u5bb6\u7559\u8a00\u53cd\u9988\u6216\u8005\u524d\u5f80\u5bf9\u5e94\u7684\u767e\u79d1\u8bcd\u6761\u9875\u9762\u8fdb\u884c\u4fee\u6539\uff0c\u4e00\u7ecf\u4fee\u6539\uff0c\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u7684\u79ef\u5206\u5956\u52b1\u5662\uff01<br  \/>\u672c\u8bcd\u6761\u7531\u96c6\u667a\u4ff1\u4e50\u90e8\u4f17\u5305\u751f\u4ea7\uff0c\u96be\u514d\u5b58\u5728\u7eb0\u6f0f\u548c\u95ee\u9898\uff0c\u6b22\u8fce\u5927\u5bb6\u7559\u8a00\u53cd\u9988\u6216\u8005\u524d\u5f80\u5bf9\u5e94\u7684\u767e\u79d1\u8bcd\u6761\u9875\u9762\u8fdb\u884c\u4fee\u6539\uff0c\u4e00\u7ecf\u4fee\u6539\uff0c\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u7684\u79ef\u5206\u5956\u52b1\u5662\uff01<\/p>\n<p>\u76ee\u5f55<\/p>\n<p>\u4e00\u3001\u56fe\u6a21\u578b\u7684\u8868\u793a\u4e8c\u3001\u56fe\u6a21\u578b\u7684\u63a8\u7406\u4e09\u3001\u56fe\u6a21\u578b\u7684\u5b66\u4e60<br  \/>\u56db\u3001\u5e94\u7528<br  \/>\u4e94\u3001\u7f16\u8005\u63a8\u8350\u516d\u3001\u96c6\u667a\u767e\u79d1\u8bcd\u6761\u5fd7\u613f\u8005\u62db\u52df<img class=\"rich_pages\" data-ratio=\"0.5621351125938282\" data-s=\"300,640\"  data-type=\"png\" data-w=\"1199\" style=\"\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-665b21db3bbe754dea7eaa8a8cdcef69.png\"  \/>\u53c2\u8003\u6587\u732e\u7b49\u8bf7\u626b\u7801\u67e5\u770b\u8bcd\u6761\u539f\u6587<\/p>\n<p>\u56fe\u6a21\u578b Graphical Model\uff0c\u4ea6\u79f0\u6982\u7387\u56fe\u6a21\u578b Probabilistic Graphical Model\uff08PGM\uff09\u6216\u7ed3\u6784\u5316\u6982\u7387\u6a21\u578b structured probabilistic model\uff0c\u662f\u4e00\u79cd\u7528\u56fe\u8868\u793a\u968f\u673a\u53d8\u91cf\u4e4b\u95f4\u6761\u4ef6\u4f9d\u8d56\u5173\u7cfb\u7684\u6982\u7387\u6a21\u578b\u3002\u5b83\u4eec\u901a\u5e38\u7528\u4e8e\u6982\u7387\u8bba\u3001\u7edf\u8ba1\u5b66\uff0c\u5c24\u5176\u662f\u8d1d\u53f6\u65af\u7edf\u8ba1\u5b66\u548c\u673a\u5668\u5b66\u4e60\u3002<\/p>\n<div class=\"post-image\"><img loading=\"lazy\" data-ratio=\"1.18\"  data-type=\"png\" data-w=\"300\" height=\"354\" style=\"border-width: 1px;border-style: solid;border-color: rgb(200, 204, 209);vertical-align: middle;background-color: rgb(255, 255, 255);margin: 0px;width: 106px;height: 126px;\" width=\"300\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-29cd95708f0e54f011616fffaef89a89.png\"  \/><\/div>\n<p>\u8fd9\u662f\u4e00\u4e2a\u56fe\u6a21\u578b\u7684\u4f8b\u5b50\u3002\u6bcf\u4e2a\u7bad\u5934\u8868\u793a\u4e00\u4e2a\u4f9d\u8d56\u5173\u7cfb\u3002\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d: D \u4f9d\u8d56\u4e8e A\u3001 B \u548c C; C \u4f9d\u8d56\u4e8e B \u548c D; \u800c A \u548c B \u76f8\u4e92\u72ec\u7acb\u3002<\/p>\n<p>\u5e38\u7528\u7684\u6982\u7387\u56fe\u6a21\u578b\u5927\u81f4\u5206\u4e3a\u4e24\u7c7b\uff1a\u8d1d\u53f6\u65af\u7f51\u7edc\uff08Bayesian network, BN\uff09\u548c\u9a6c\u5c14\u53ef\u592b\u7f51\u7edc\uff08Markovnetwork, MN\uff09\u6216\u8005\u79f0\u4e3a\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u3002\u6982\u7387\u56fe\u7406\u8bba\u5171\u5206\u4e3a\u4e09\u4e2a\u90e8\u5206\uff0c\u5206\u522b\u4e3a\u6982\u7387\u56fe\u6a21\u578b\u8868\u793a\u7406\u8bba\uff0c\u6982\u7387\u56fe\u6a21\u578b\u63a8\u7406\u7406\u8bba\u548c\u6982\u7387\u56fe\u6a21\u578b\u5b66\u4e60\u7406\u8bba\u3002<\/p>\n<p>\u5176\u4e2d\uff1a<br \/>\u56fe\u6a21\u578b\u7684\u8868\u793arepresentation\u662f\u6307\uff1a\u5982\u4f55\u7528\u56fe\u6a21\u578b\u6765\u5c06\u6982\u7387\u5206\u5e03\u8fdb\u884c\u8868\u793a\uff1b\u56fe\u6a21\u578b\u7684\u63a8\u7406inference\u662f\u6307\uff1a\u5728\u5df2\u77e5\u56fe\u6a21\u578b\u7684\u60c5\u51b5\u4e0b\uff0c\u5982\u4f55\u8ba1\u7b97\u67d0\u4e00\u672a\u77e5\u8282\u70b9\u7684\u6982\u7387\uff1b\u56fe\u6a21\u578b\u7684\u5b66\u4e60learning\u662f\u6307\uff1a\u5bf9\u56fe\u7684\u7ed3\u6784\u548c\u53c2\u6570\u7684\u5b66\u4e60\u3002<br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/>\u56fe\u6a21\u578b\u7684\u8868\u793a<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><br  \/>\u4e00\u822c\u6765\u8bf4\uff0c\u6982\u7387\u56fe\u6a21\u578b\u4e2d\u56fe\u7684\u8868\u793a\u65b9\u6cd5\u5e38\u5e38\u4f5c\u4e3a\u5bf9\u591a\u7ef4\u7a7a\u95f4\u4e0a\u7684\u5206\u5e03\u8fdb\u884c\u7f16\u7801\u7684\u57fa\u7840\uff0c\u4e3b\u8981\u7531\u53c2\u6570\u548c\u7ed3\u6784\u4e24\u4e2a\u90e8\u5206\u7ec4\u6210\u3002<br  \/>\u5e38\u7528\u7684\u6982\u7387\u56fe\u6a21\u578b\u5927\u81f4\u5206\u4e3a\u4e24\u7c7b\uff1a\u8d1d\u53f6\u65af\u7f51\u7edc\uff08Bayesian network, BN\uff09\u548c\u9a6c\u5c14\u53ef\u592b\u7f51\u7edc\uff08Markov network, MN\uff09\u6216\u8005\u79f0\u4e3a\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\uff08Markov Random Field, MRF\uff09\u3002\u8fd9\u4e24\u79cd\u6a21\u578b\u7684\u4e3b\u8981\u601d\u60f3\u90fd\u662f\u5229\u7528\u6761\u4ef6\u72ec\u7acb\u6027\u5047\u8bbe\u6765\u5bf9\u8054\u5408\u6982\u7387\u5206\u5e03\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u4ece\u800c\u8fbe\u5230\u964d\u7ef4\u7684\u76ee\u7684\u3002\u6982\u7387\u56fe\u6a21\u578b\u7684\u597d\u5904\u662f\u63d0\u4f9b\u4e86\u4e00\u79cd\u7b80\u5355\u7684\u53ef\u89c6\u5316\u6982\u7387\u6a21\u578b\u7684\u65b9\u6cd5\uff0c\u6709\u5229\u4e8e\u8bbe\u8ba1\u548c\u5f00\u53d1\u65b0\u6a21\u578b\uff0c\u5e76\u4e14\u7b80\u5316\u6570\u5b66\u8868\u793a\uff0c\u63d0\u9ad8\u63a8\u7406\u8fd0\u7b97\u80fd\u529b\u3002<br  \/>\u8d1d\u53f6\u65af\u7f51\u7edc\u4e00\u822c\u662f\u6307\u6709\u5411\u56fe\u6a21\u578b\uff0c\u4f7f\u7528\u6709\u5411\u65e0\u73af\u56fe\u6765\u8868\u793a\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff1b<br  \/>\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u4e00\u822c\u662f\u6307\u5728\u65e0\u5411\u56fe\u6a21\u578b\uff0c\u4f7f\u7528\u65e0\u5411\u56fe\u6765\u8868\u793a\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<br  \/>\u8d1d\u53f6\u65af\u7f51\u7edc\u5982\u679c\u6a21\u578b\u7684\u7f51\u7edc\u7ed3\u6784\u662f\u6709\u5411\u65e0\u73af\u56fe\uff0c\u5219\u6a21\u578b\u8868\u793a\u6240\u6709\u968f\u673a\u53d8\u91cf\u7684\u8054\u5408\u6982\u7387\u7684\u56e0\u5f0f\u5206\u89e3\u3002\u66f4\u786e\u5207\u5730\u8bf4\uff0c\u5982\u679c\u4e8b\u4ef6\u662fX1\uff0c\uff0cXn\uff0c\u90a3\u4e48\u8054\u5408\u6982\u7387\u6ee1\u8db3\uff1a<img class=\"rich_pages\" data-ratio=\"0.21070234113712374\" data-s=\"300,640\"  data-type=\"png\" data-w=\"299\" style=\"\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-0449bfbf8561e691c30f4ac5ff6a5963.png\"  \/>\u5176\u4e2d&nbsp;pa(Xi)\uff0c\u662f\u8282\u70b9Xi\u7684\u7236\u8282\u70b9\u96c6\uff08\u8282\u70b9\u7684\u8fb9\u9645\u6307\u5411Xi\uff09\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8054\u5408\u5206\u5e03\u56e0\u5b50\u53ef\u4ee5\u8868\u793a\u4e3a\u6761\u4ef6\u5206\u5e03\u7684\u4e58\u79ef\u3002\u4f8b\u5982\uff0c\u4e0a\u56fe\u4e2d\u7684\u56fe\u6a21\u578b\uff08\u5b9e\u9645\u4e0a\u4e0d\u662f\u6709\u5411\u65e0\u73af\u56fe\uff0c\u800c\u662f\u539f\u59cb\u56fe\uff09\u662f\u7531\u968f\u673a\u53d8\u91cf\uff21\uff0c\uff22\uff0c\uff23\uff0c\uff24\u8054\u5408\u6982\u7387\u5bc6\u5ea6\u56e0\u5b50\u4e3a<\/p>\n<div class=\"post-image\"><img class=\"rich_pages\" data-ratio=\"0.1356382978723404\" data-s=\"300,640\"  data-type=\"png\" data-w=\"376\" style=\"\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-b6eec3479dc4406cae05ec6c5bcc7d68.png\"  \/><br  \/>\u4efb\u4f55\u4e24\u4e2a\u8282\u70b9\u90fd\u662f\u548c\u5176\u7236\u8282\u70b9\u7684\u503c\u662f\u6761\u4ef6\u72ec\u7acb\u7684\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5982\u679c d-\u5206\u79bb\u51c6\u5219\u5728\u56fe\u4e2d\u6210\u7acb\uff0c\u90a3\u4e48\u4efb\u610f\u4e24\u7ec4\u8282\u70b9\u548c\u7ed9\u5b9a\u7b2c\u4e09\u4e2a\u8282\u70b9\u96c6\u90fd\u662f\u6761\u4ef6\u72ec\u7acb\u7684\u3002\u5728\u8d1d\u53f6\u65af\u7f51\u7edc\u4e2d\uff0c\u5c40\u90e8\u72ec\u7acb\u6027\u548c\u5168\u5c40\u72ec\u7acb\u6027\u662f\u7b49\u4ef7\u7684\u3002<br  \/>\u8fd9\u79cd\u7c7b\u578b\u7684\u56fe\u5f62\u6a21\u578b\u88ab\u79f0\u4e3a\u6709\u5411\u56fe\u6a21\u578b\u3001\u8d1d\u6c0f\u7f51\u8def\u6216\u4fe1\u5ff5\u7f51\u7edc\u3002\u7ecf\u5178\u7684\u673a\u5668\u5b66\u4e60\u6a21\u578b\uff1a\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\u3001\u795e\u7ecf\u7f51\u7edc\u548c\u66f4\u65b0\u7684\u6a21\u578b\u5982\u53ef\u53d8\u9636\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\u90fd\u53ef\u4ee5\u770b\u4f5c\u662f\u8d1d\u53f6\u65af\u7f51\u7edc\u7684\u7279\u6b8a\u60c5\u51b5\u3002<br  \/>\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u5982\u679c\u6a21\u578b\u7684\u7f51\u7edc\u7ed3\u6784\u662f\u65e0\u5411\u56fe\uff0c\u5219\u6a21\u578b\u8868\u793a\u6240\u6709\u56e2\u7684\u8054\u5408\u6982\u7387\u7684\u56e0\u5f0f\u5206\u89e3\u3002\u66f4\u786e\u5207\u5730\u8bf4\uff0c\u5982\u679cX{k}\u662f\u968f\u673a\u53d8\u91cfX&nbsp;\u5728\u7b2ck\u4e2a\u56e2\u7684\u72b6\u6001\uff08|Ck|\u662f\u5728\u7b2ck\u4e2a\u56e2\u4e2d\u5305\u542b\u7684\u8282\u70b9\u6570\uff09\uff0c\u90a3\u4e48\u8054\u5408\u6982\u7387\u6ee1\u8db3\uff1a<br \/><img class=\"rich_pages\" data-croporisrc=\"https:\/\/mmbiz.qlogo.cn\/mmbiz_png\/wibWV1DB7tWJleyZpeibUrfLMlThPdGuxDGOkRkn53ib9jtBzdcicelZt1xeMbQ0yzNicnf4ic5ibOFSe9zv3JxOSyNoQ\/0?wx_fmt=png\" data-cropx1=\"0\" data-cropx2=\"779\" data-cropy1=\"0\" data-cropy2=\"616.8238434163701\" data-ratio=\"0.7907573812580231\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"779\" style=\"height: 445px;text-align: center;white-space: normal;width: 562px;\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-cc4fb97de2c0b3b2c4f3e38f9190276f.jpeg\"  \/><\/div>\n<p><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/>\u56fe\u6a21\u578b\u7684\u63a8\u7406<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><\/p>\n<p>\u6982\u7387\u56fe\u6a21\u578b\u7684\u63a8\u7406\u65b9\u6cd5\u4e3b\u8981\u5206\u7cbe\u786e\u63a8\u7406\u548c\u8fd1\u4f3c\u63a8\u7406\u4e24\u5927\u7c7b\uff0c\u800c\u6839\u636e\u7f51\u7edc\u7ed3\u6784\u548c\u67e5\u8be2\u95ee\u9898\u7684\u4e0d\u540c\uff0c\u6982\u7387\u56fe\u6a21\u578b\u7684\u63a8\u7406\u65b9\u6cd5\u53ef\u4ee5\u5206\u4e3a\u4e09\u5927\u7c7b\uff0c\u5206\u522b\u662fBN\u548cMN\u7684\u63a8\u7406\u3001\u6df7\u5408\u7f51\u7edc\u7684\u63a8\u7406\u548cDBN\u7684\u63a8\u7406\uff0c\u7136\u540e\u518d\u6839\u636e\u67e5\u8be2\u95ee\u9898\u7684\u5f62\u5f0f\u5bf9\u6bcf\u4e00\u7c7b\u63a8\u7406\u65b9\u6cd5\u7ee7\u7eed\u7ec6\u5206\uff0c\u4e0b\u56fe\u7740\u91cd\u4ecb\u7ecdBN\u548cMN\u7684\u63a8\u7406\u3002<br \/><img loading=\"lazy\" data-ratio=\"0.7288888888888889\"  data-type=\"png\" data-w=\"675\" height=\"492\" style=\"border-width: 0px;border-style: initial;border-color: initial;vertical-align: middle;margin: 0px;\" width=\"675\" src=\"\/wp-content\/uploads\/2021\/03\/wxsync-2021-03-96a33cb2dcef7164238f32cc133fe049.png\"  \/><br \/>\u5176\u4e2d\u6982\u7387\u67e5\u8be2\u662f\u8ba1\u7b97\u540e\u9a8c\u6982\u7387\u5206\u5e03P\uff08Y|E=e\uff09\uff0c\u5176\u4e2dY\u662f\u67e5\u8be2\u53d8\u91cf\u96c6\uff0cE\u4e3a\u8bc1\u636e\u53d8\u91cf\u96c6\uff1bMAP\u8868\u793a\u6700\u5927\u540e\u9a8c\u6982\u7387\u67e5\u8be2\uff0c\u4e5f\u79f0\u6700\u6709\u53ef\u80fd\u89e3\u91ca\u67e5\u8be2\uff0c\u5373\u6c42\u51fa\u975e\u8bc1\u636e\u53d8\u91cf\u96c6\u7684\u6700\u6709\u53ef\u80fd\u53d6\u503c\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/>\u56fe\u6a21\u578b\u7684\u5b66\u4e60<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><\/p>\n<p>\u7531\u4e8e\u6982\u7387\u56fe\u6a21\u578b\u7684\u8868\u793a\u5206\u53c2\u6570\u8868\u793a\u548c\u7ed3\u6784\u8868\u793a\u4e24\u4e2a\u90e8\u5206, \u56e0\u6b64\u5b66\u4e60\u7b97\u6cd5\u4e5f\u5206\u4e3a\u53c2\u6570\u5b66\u4e60\u4e0e\u7ed3\u6784\u5b66\u4e60\u4e24\u5927\u7c7b\u3002<\/p>\n<p>\u8d1d\u53f6\u65af\u7f51\u7edc\u6a21\u578b\u5b66\u4e60\u8d1d\u53f6\u65af\u7f51\u7edc\u6a21\u578b\u6a21\u578b\u7684\u53c2\u6570\u5b66\u4e60\uff0c\u4e00\u822c\u4f1a\u5047\u8bbe\u7ed3\u6784\u4e00\u81f4\uff0c\u7136\u540e\u4ece\u6837\u672c\u6570\u636e\u4e2d\u5b66\u4e60\u6bcf\u4e2a\u53d8\u91cf\u7684\u6982\u7387\u5206\u5e03\u3002\u6982\u7387\u5206\u5e03\u7684\u5f62\u5f0f\u4e00\u822c\u4f1a\u9884\u5148\u8bbe\u5b9a\uff0c\u5982\u591a\u9879\u5f0f\u5206\u5e03\u3001\u9ad8\u65af\u5206\u5e03\u548c\u6cca\u677e\u5206\u5e03\u7b49\u3002\u8d1d\u53f6\u65af\u7f51\u7edc\u6a21\u578b\u7684\u7ed3\u6784\u5b66\u4e60\u662f\u8d1d\u53f6\u65af\u7f51\u7edc\u5b66\u4e60\u7684\u6700\u4e3b\u8981\u7684\u90e8\u5206\uff0c\u6b64\u65f6\u8d1d\u53f6\u65af\u7f51\u7edc\u7684\u53c2\u6570\u548c\u7ed3\u6784\u90fd\u672a\u77e5\uff0c\u9700\u8981\u4ece\u6837\u672c\u6570\u636e\u4e2d\u627e\u5230\u4e0e\u6570\u636e\u5339\u914d\u5ea6\u6700\u597d\u7684\u7f51\u7edc\u7ed3\u6784\u3002\u5f53\u786e\u5b9a\u7f51\u7edc\u7ed3\u6784\u4e4b\u540e\uff0c\u53c2\u6570\u5b66\u4e60\u77e5\u8bc6\u76f8\u5bf9\u7b80\u5355\u7684\u53c2\u6570\u4f30\u8ba1\u95ee\u9898\u3002\u7ed3\u6784\u5b66\u4e60\u7684\u7b97\u6cd5\u4e3b\u8981\u5206\u4e3a\u4e09\u7c7b\uff1a\u57fa\u4e8e\u7ea6\u675f (Constraint based, CB) \u7684\u5b66\u4e60\u7b97\u6cd5\u3001\u57fa\u4e8e\u8bc4\u5206\u641c\u7d22(Scoring and searching, SS) \u7684\u5b66\u4e60\u7b97\u6cd5\u548c\u6df7\u5408\u5b66\u4e60\u7b97\u6cd5\u3002<\/p>\n<p>\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u6a21\u578b\u5b66\u4e60\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u6a21\u578b\u7684\u5b66\u4e60\u4efb\u52a1\u6bd4\u8d1d\u53f6\u65af\u7f51\u7edc\u6a21\u578b\u7684\u5b66\u4e60\u66f4\u52a0\u590d\u6742\u3002\u5728\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u6a21\u578b\u7684\u53c2\u6570\u5b66\u4e60\u4e2d, \u5176\u914d\u5206\u51fd\u6570\u8026\u5408\u4e86\u7ed3\u6784\u4e2d\u7684\u6240\u6709\u53c2\u6570\uff0c\u4f7f\u5f97\u53c2\u6570\u5b66\u4e60\u95ee\u9898\u4e0d\u80fd\u5206\u89e3\uff0c\u4e0d\u80fd\u5206\u522b\u72ec\u7acb\u4f30\u8ba1\u6bcf\u4e2a\u5c40\u90e8\u53c2\u6570\u3002\u800c\u4e14\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u7684\u6700\u4f18\u53c2\u6570\u6ca1\u6709\u89e3\u6790\u89e3\uff0c\u6240\u4ee5\u4e00\u822c\u4f7f\u7528\u8fed\u4ee3\u65b9\u6cd5\u6c42\u89e3\u6700\u4f18\u53c2\u6570\uff0c\u5982\u68af\u5ea6\u4e0b\u964d\u6cd5\u3002\u5e86\u5e78\u7684\u662f\uff0c\u8fed\u4ee3\u4e2d\u7684\u4f3c\u7136\u76ee\u6807\u51fd\u6570\u4e3a\u51f9\u51fd\u6570\uff0c\u8fed\u4ee3\u65b9\u6cd5\u80fd\u4fdd\u8bc1\u6536\u655b\u81f3\u5168\u5c40\u6700\u4f18\u89e3\u3002\u4f46\u662f\u8fed\u4ee3\u4e2d\u7684\u6bcf\u4e00\u6b65\u90fd\u9700\u8981\u5728\u7f51\u7edc\u4e2d\u8fdb\u884c\u63a8\u7406\uff0c\u4f7f\u5f97\u8ba1\u7b97\u6210\u672c\u76f8\u5f53\u9ad8\u3002MN \u7684\u7ed3\u6784\u5b66\u4e60\u4e5f\u9700\u8981\u8ba1\u7b97\u5212\u5206\u51fd\u6570\uff0c\u6240\u4ee5\u5176\u53c2\u6570\u5b66\u4e60\u5b58\u5728\u7684\u95ee\u9898\u5bf9\u7ed3\u6784\u5b66\u4e60\u6709\u5f88\u5927\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u5176\u4ed6\u7c7b\u522b\u6734\u7d20\u8d1d\u53f6\u65af\u5206\u7c7b\u5668 Naive Bayes classifier\uff0c\u5176\u4e2d\u4f1a\u4f7f\u7528\u5355\u6839\u6811\u3002\u4f9d\u8d56\u6027\u7f51\u7edc Dependency network\u4e2d\u4f1a\u51fa\u73b0\u73af\u3002\u6811\u589e\u5e7f\u6734\u7d20\u8d1d\u53f6\u65af\u5206\u7c7b\u5668 Tree-augmented classifier \u6216\u7b80\u79f0\u4e3aTAN\u6a21\u578b\u3002\u56e0\u5b50\u56fe factor graph\u662f\u8fde\u63a5\u53d8\u91cf\u548c\u56e0\u5b50\u7684\u65e0\u5411\u4e8c\u5206\u56fe\u3002\u6bcf\u4e2a\u56e0\u5b50\u4ee3\u8868\u4e0e\u5176\u8fde\u63a5\u7684\u53d8\u91cf\u6709\u5173\u7684\u51fd\u6570\u3002\u8fd9\u5bf9\u4e8e\u7406\u89e3\u548c\u5b9e\u73b0\u4fe1\u5ff5\u4f20\u64ad\u7b97\u6cd5\u5f88\u6709\u5e2e\u52a9\u3002\u56e2\u6811 clique tree\u6216\u8005\u8054\u5408\u6811\uff0c\u662f\u6307\u57fa\u4e8e\u56e2\u7684\u6811\uff0c\u4e00\u822c\u662f\u5c06\u6709\u5411\u56fe\u8f6c\u5316\u4e3a\u6811\uff0c\u51cf\u5c11\u8ba1\u7b97\u96be\u5ea6\uff0c\u4e00\u822c\u4f1a\u4f7f\u7528\u8054\u5408\u6811\u7b97\u6cd5\u6765\u6c42\u89e3\u3002\u94fe\u5f0f\u56fe chain graph \u662f\u65e2\u53ef\u4ee5\u6709\u5411\u4e5f\u53ef\u4ee5\u65e0\u5411\u7684\u8fb9\uff0c\u4f46\u662f\u6ca1\u6709\u4efb\u4f55\u6709\u5411\u73af\uff08\u5373\uff0c\u5982\u679c\u6211\u4eec\u4ece\u4efb\u610f\u4e00\u4e2a\u9876\u70b9\u5f00\u59cb\u5e76\u4f9d\u636e\u4efb\u4f55\u7bad\u5934\u7684\u65b9\u5411\u6cbf\u8be5\u56fe\u5f62\u79fb\u52a8\uff0c\u5219\u53ea\u8981\u6211\u4eec\u6cbf\u7740\u7bad\u5934\u8d70\u4e86\u4e00\u6b65\u6211\u4eec\u5c06\u65e0\u6cd5\u8fd4\u56de\u5230\u8be5\u9876\u70b9\uff09\u3002\u6709\u5411\u65e0\u73af\u56fe\u548c\u65e0\u5411\u56fe\u90fd\u662f\u94fe\u5f0f\u56fe\u7684\u7279\u4f8b\uff0c\u56e0\u6b64\u53ef\u4ee5\u63d0\u4f9b\u4e00\u79cd\u7edf\u4e00\u548c\u6cdb\u5316\u8d1d\u53f6\u65af\u7f51\u7edc\u548c\u9a6c\u5c14\u53ef\u592b\u7f51\u7edc\u7684\u65b9\u6cd5\u3002\u7956\u5148\u56fe\u662f\u65e2\u6709\u6709\u5411\u8fb9\uff0c\u4e5f\u6709\u53cc\u5411\u8fb9\u548c\u65e0\u5411\u8fb9\u7684\u56fe\u3002\u968f\u673a\u573a\u65b9\u6cd5\u9a6c\u5c14\u53ef\u592b\u968f\u673a\u573a\u4e5f\u79f0\u4e3a\u9a6c\u5c14\u53ef\u592b\u7f51\u7edc\uff0c\u662f\u4e00\u4e2a\u57fa\u4e8e\u65e0\u5411\u56fe\u7684\u6a21\u578b\uff0c\u56fe\u6a21\u578b\u4e2d\u5f88\u591a\u91cd\u590d\u7684\u5b50\u5355\u5143\u53ef\u4ee5\u7528 \u201c\u76d8\u5b50\u8868\u793a\u6cd5\u201d\uff08plate notation\uff09 \u6765\u8fdb\u884c\u8868\u793a\u3002<br  \/>\u6761\u4ef6\u968f\u673a\u573a\u662f\u57fa\u4e8e\u65e0\u5411\u56fe\u4e0a\u7684\u5224\u522b\u6a21\u578b\u3002\u53d7\u9650\u73bb\u5c14\u5179\u66fc\u673a\u662f\u4e00\u4e2a\u57fa\u4e8e\u65e0\u5411\u56fe\u4e0a\u7684\u4e8c\u5206\u751f\u6210\u6a21\u578b\u3002<br  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/>\u5e94\u7528<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><\/p>\n<p>\u8be5\u6a21\u578b\u7684\u6846\u67b6\u4e3a\u53d1\u73b0\u548c\u5206\u6790\u590d\u6742\u5206\u5e03\u4e2d\u7684\u7ed3\u6784\u3001\u7b80\u6d01\u5730\u63cf\u8ff0\u7ed3\u6784\u548c\u63d0\u53d6\u975e\u7ed3\u6784\u5316\u4fe1\u606f\u63d0\u4f9b\u4e86\u7b97\u6cd5\uff0c\u4f7f\u6a21\u578b\u5f97\u5230\u6709\u6548\u7684\u6784\u5efa\u548c\u5229\u7528\u3002\u56fe\u5f62\u6a21\u578b\u7684\u5e94\u7528\u5305\u62ec\u56e0\u679c\u63a8\u7406\u3001\u4fe1\u606f\u62bd\u53d6\u3001\u8bed\u97f3\u8bc6\u522b\u3001l\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u4f4e\u5bc6\u5ea6\u5947\u5076\u6821\u9a8c\u7801\u7684\u89e3\u7801\u3001\u57fa\u56e0\u8c03\u63a7\u7f51\u7edc\u7684\u5efa\u6a21\u3001\u57fa\u56e0\u53d1\u73b0\u548c\u75be\u75c5\u8bca\u65ad\uff0c\u4ee5\u53ca\u86cb\u767d\u8d28\u7ed3\u6784\u7684\u56fe\u5f62\u6a21\u578b\u3002<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/>\u7f16\u8005\u63a8\u8350<br \/><br style=\"max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><br \/>\u56e0\u679c\u79d1\u5b66\u4e0e Causal&nbsp;AI \u8bfb\u4e66\u4f1a\u56e0\u679c\u63a8\u65ad\u4e0e\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u7ed3\u5408\u5df2\u7ecf\u5438\u5f15\u4e86\u8d8a\u6765\u8d8a\u591a\u6765\u81ea\u5b66\u754c\u4e1a\u754c\u7684\u5173\u6ce8\uff0c\u4e3a\u6df1\u5165\u63a2\u8ba8\u3001\u666e\u53ca\u63a8\u5e7f\u56e0\u679c\u79d1\u5b66\u8bae\u9898\uff0c\u667a\u6e90\u793e\u533a\u643a\u624b\u96c6\u667a\u4ff1\u4e50\u90e8\u5c06\u4e3e\u529e\u7b2c\u4e8c\u671f\u300c\u56e0\u679c\u79d1\u5b66\u4e0eCausalAI\u8bfb\u4e66\u4f1a\u300d\u3002\u672c\u671f\u8bfb\u4e66\u4f1a\u7740\u529b\u4e8e\u5b9e\u64cd\u6027\u3001\u57fa\u7840\u6027\uff0c\u5c06\u5e26\u9886\u5927\u5bb6\u7cbe\u8bfb\u56e0\u679c\u79d1\u5b66\u65b9\u5411\u4e24\u672c\u975e\u5e38\u53d7\u5e7f\u6cdb\u8ba4\u53ef\u7684\u5165\u95e8\u6559\u6750\u3002<br  \/>1. Pearl, Judea, Madelyn Glymour, and Nicholas P. Jewell. Causal inference in statistics: A primer. John Wiley &amp; Sons, 2016.\uff08\u672c\u4e66\u4e2d\u8bd1\u7248\u300a\u7edf\u8ba1\u56e0\u679c\u63a8\u7406\u5165\u95e8\uff08\u7ffb\u8bd1\u7248\uff09\u300b\u5df2\u7531\u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e\u51fa\u7248\uff09<br  \/>2. Peters, Jonas, Dominik Janzing, and Bernhard Sch\u00f6lkopf. Elements of causal inference: foundations and learning algorithms. The MIT Press, 2017.<br  \/>\u8bfb\u4e66\u4f1a\u6bcf\u5468\u5c06\u8fdb\u884c\u76f4\u64ad\u8ba8\u8bba\uff0c\u8fdb\u884c\u95ee\u9898\u4ea4\u6d41\u3001\u91cd\u70b9\u6982\u5ff5\u5206\u4eab\u3001\u9605\u8bfb\u6982\u89c8\u548c\u7f16\u7a0b\u5b9e\u8df5\u5185\u5bb9\u5206\u6790\u3002\u975e\u5e38\u9002\u5408\u6709\u673a\u5668\u5b66\u4e60\u80cc\u666f\uff0c\u5e0c\u671b\u6df1\u5165\u5b66\u4e60\u56e0\u679c\u79d1\u5b66\u57fa\u7840\u77e5\u8bc6\u548c\u91cd\u8981\u6a21\u578b\u65b9\u6cd5\uff0c\u5bfb\u6c42\u89e3\u51b3\u76f8\u5173\u7814\u7a76\u95ee\u9898\u7684\u670b\u53cb\u53c2\u52a0\u3002\u8be6\u60c5\u53c2\u89c1\uff1a<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247539257&amp;idx=1&amp;sn=d2bec726db7303f694138c30968214ad&amp;chksm=e89700b4dfe089a21ef3ad96bbbd8e98c476a65056de63912bec5512a998e66e6e0fe7550fbc&amp;scene=21#wechat_redirect\" 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!important;overflow-wrap: break-word !important;\" mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><br mpa-from-tpl=\"t\"  \/><br 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target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247538660&amp;idx=2&amp;sn=2ac16b5afb8336e9178f49e99fc12f3c&amp;chksm=e8970d69dfe0847f5f5ae1e176741639eb6f87bdca1b76dc50c2b8d277935f219b711aaec7c3&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" style=\"text-decoration: underline;\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u535a\u5f08\u8bba | \u96c6\u667a\u767e\u79d1<\/a><\/p>\n<p><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247502752&amp;idx=1&amp;sn=4ceaf4f227a4f7065b3cd256a2022552&amp;chksm=e897912ddfe0183b570a12e6b40212e33b76a95c54abe6e10afe7069acb9f6236bd39ccf8cda&amp;scene=21#wechat_redirect\" textvalue=\"\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" rel=\"noopener noreferrer\">\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/a><\/p>\n<p>\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u9605\u8bfb\u6982\u7387\u56fe\u6a21\u578b\u76f8\u5173\u5185\u5bb9\u4e0e\u53c2\u8003\u6587\u732e                 <\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01 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