{"id":2029,"date":"2019-02-13T23:25:04","date_gmt":"2019-02-13T15:25:04","guid":{"rendered":"http:\/\/www.storagelab.org.cn\/zhangdi\/?p=2029"},"modified":"2019-02-13T23:25:04","modified_gmt":"2019-02-13T15:25:04","slug":"%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%941%ef%bc%9a%e5%88%a9%e7%94%a8%e6%9d%a1%e4%bb%b6%e7%86%b5%e7%ad%9b%e9%80%89%e6%95%b0%e6%8d%ae%e7%bb%b4%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/www.divis.cn\/index.php\/2019\/02\/13\/%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%941%ef%bc%9a%e5%88%a9%e7%94%a8%e6%9d%a1%e4%bb%b6%e7%86%b5%e7%ad%9b%e9%80%89%e6%95%b0%e6%8d%ae%e7%bb%b4%e5%ba%a6\/","title":{"rendered":"\u4fe1\u606f\u71b5\u5e94\u7528\u968f\u7b141\uff1a\u5229\u7528\u6761\u4ef6\u71b5\u7b5b\u9009\u6570\u636e\u7ef4\u5ea6"},"content":{"rendered":"<h2>\u4e00\uff0c\u80cc\u666f\u548c\u4efb\u52a1\u76ee\u6807<\/h2>\n<p>\u5047\u8bbe\u6709\u4e00\u4e2an\u7ef4\u6570\u636e\u96c6\uff0c\u5305\u542bk\u4e2a\u6837\u672c\uff0c\u53ef\u4ee5\u89c6\u4e3an*k\u77e9\u9635\u3002\u6bcf\u4e2a\u6570\u636e\u7ef4\u5ea6\u6211\u4eec\u53ef\u4ee5\u89c6\u4e3a\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\uff0c\u6b64n\u7ef4\u6570\u636e\u96c6\u5219\u53ef\u4ee5\u89c6\u4e3a\u7531n\u4e2a\u968f\u673a\u53d8\u91cf\u6784\u6210\u7684\u7cfb\u7edf\u3002<strong>\u6211\u4eec\u7684\u76ee\u6807\u662f\u4ece\u96c6\u5408\u6570\u636e\u96c6\u4e2d\u9009\u53d6\u4e00\u4e2a\u6700\u5177\u6570\u636e\u4ee3\u8868\u6027\u7684\u6570\u636e\u7ef4\u5ea6\u3002\u600e\u4e48\u7b97\u662f\u6700\u5177\u4ee3\u8868\u6027\u7684\u6570\u636e\u7ef4\u5ea6\u5462\uff1f\u4e00\u4e2a\u53ef\u884c\u65b9\u6848\u662f\uff0c\u91c7\u7528\u4fe1\u606f\u8bba\u7684\u65b9\u6cd5\uff0c\u9009\u62e9\u5bf9\u7cfb\u7edf\u4e0d\u786e\u5b9a\u6027\u8d21\u732e\u6700\u5927\u7684\u968f\u673a\u53d8\u91cfX\u3002<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/a9.png\" width=\"548\" height=\"296\" \/><\/p>\n<p>\u5173\u4e8e\u4fe1\u606f\u71b5\uff0c\u8054\u5408\u71b5\uff0c\u6761\u4ef6\u71b5\u7684\u6982\u5ff5\u548c\u5b9a\u4e49\uff0c\u53ef\u4ee5\u53c2\u8003\uff1a<\/p>\n<ol>\n<li><a href=\"http:\/\/www.storagelab.org.cn\/zhangdi\/2018\/08\/12\/chinavis2018%E5%8F%82%E4%BC%9A%E8%AE%B0%E5%BD%951%EF%BC%9A%E4%BF%A1%E6%81%AF%E8%AE%BA%E5%9C%A8%E5%8F%AF%E8%A7%86%E5%8C%96%E4%B8%AD%E7%9A%84%E5%BA%94%E7%94%A8\/\">chinavis2018\u53c2\u4f1a\u603b\u7ed31\uff1a\u4fe1\u606f\u8bba\u5728\u53ef\u89c6\u5316\u4e2d\u7684\u5e94\u7528<\/a><\/li>\n<li><a href=\"https:\/\/www.cnblogs.com\/yeluzi\/p\/7560755.html\">\u4fe1\u606f\u8bba\u57fa\u672c\u6982\u5ff5 &#8211; \u5404\u79cd\u71b5\u7684\u89e3\u91ca<\/a><\/li>\n<\/ol>\n<h2>\u4e8c\uff0c \u57fa\u4e8e\u8054\u5408\u71b5\u4e0e\u6761\u4ef6\u71b5\u7684\u968f\u673a\u53d8\u91cf\u9009\u62e9\u7b97\u6cd5<\/h2>\n<p>\u663e\u7136\uff0c\u4ec5\u4ec5\u8ba1\u7b97\u6bcf\u4e2a\u968f\u673a\u53d8\u91cf\u5404\u81ea\u7684\u4e0d\u786e\u5b9a\u6027\uff08\u4fe1\u606f\u71b5\uff09\uff0c\u5e76\u4e0d\u80fd\u786e\u5b9a\u54ea\u4e2a\u53d8\u91cf\u5bf9\u6574\u4e2a\u7cfb\u7edf\u7684\u4e0d\u786e\u5b9a\u6027\u8d21\u732e\u6700\u5927\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u968f\u673a\u53d8\u91cf\u4e4b\u95f4\u5f88\u53ef\u80fd\u5b58\u5728\u5f88\u5927\u7684\u4fe1\u606f\u91cd\u53e0\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u8003\u5bdf\u4e86\u4fe1\u606f\u91cd\u53e0\u7684\u8054\u5408\u71b5\u548c\u6761\u4ef6\u71b5\u6765\u89e3\u51b3\u95ee\u9898\u3002\u5177\u4f53\u7684\u89e3\u6cd5\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<p>\u7b97\u6cd5\u4e00\uff1a\u5148\u8ba1\u7b97\u6574\u4e2a\u53d8\u91cf\u7cfb\u7edf\u7684\u8054\u5408\u71b5H(X1, &#8230; , Xn)\u3002\u7136\u540e\u53bb\u6389\u4e00\u4e2a\u53d8\u91cfX1\uff0c\u518d\u8ba1\u7b97\u4e00\u4e0b\u5269\u4f59\u5176\u4ed6\u53d8\u91cf\u7684\u8054\u5408\u71b5H(X2, &#8230; , Xn)\u3002\u7136\u540e\u8ba1\u7b97\u5dee\u503cD(X1) =\u00a0 H(X1, &#8230; , Xn) &#8211; H(X2, &#8230; , Xn)\u00a0\u3002\u4ee5\u6b64\u7c7b\u63a8\u53ef\u8ba1\u7b97\u6bcf\u4e2a\u968f\u673a\u53d8\u91cf\u7684\u5dee\u503cD(Xi)\u3002\u5dee\u503cD(Xi)\u8d8a\u5927\uff0c\u8bf4\u660eXi\u5bf9\u7cfb\u7edf\u7684\u4e0d\u786e\u5b9a\u6027\u8d21\u732e\u5c31\u8d8a\u5927\u3002\u8fd9\u79cd\u7b97\u6cd5\u4f7f\u7528\u8054\u5408\u71b5\u7684\u5dee\u503c\u6765\u4f30\u8ba1\u53d8\u91cfXi\u5bf9\u4e8e\u6574\u4e2a\u7cfb\u7edf\u7684\u72ec\u7acb\u4fe1\u606f\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u6bcf\u4e2a\u968f\u673a\u53d8\u91cf\u5404\u81ea\u7684\u71b5\uff0c\u53ef\u4ee5\u6db5\u76d6\u53d8\u91cf\u95f4\u5b58\u5728\u5f88\u5927\u7684\u4fe1\u606f\u91cd\u53e0\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u7b97\u6cd5\u4e8c\uff1a\u5728\u7b97\u6cd5\u4e00\u7684\u57fa\u7840\u4e0a\uff0c\u6539\u8ba1\u7b97\u8054\u5408\u71b5\u5dee\u503cD(Xi)\u4e3a\u4fe1\u606f\u589e\u76caIG(Xi)\u3002\u6bcf\u6b21\u9009\u62e9\u4e00\u4e2a\u53d8\u91cfXi\uff0c\u7cfb\u7edf\u7684\u5269\u4f59\u4e0d\u786e\u5b9a\u6027\u7b49\u53ef\u4ee5\u7528\u6761\u4ef6\u71b5\u8868\u8fbe\uff0c\u5373<img decoding=\"async\" src=\"http:\/\/zhangdi.dengxinbo.cn\/x1%20conditional%20entropy.png\" \/>\u3002\u800c\u9009\u62e9\u53d8\u91cfXi\u540e\u7cfb\u7edf\u51cf\u5c11\u7684\u4e0d\u786e\u5b9a\u6027\u88ab\u79f0\u4e3a\u4fe1\u606f\u589e\u76ca\uff08infomation gain\uff09\uff0c\u5373\u7cfb\u7edf\u4ea4\u53c9\u71b5\u548c\u9009\u62e9Xi\u6761\u4ef6\u71b5\u7684\u5dee\u503c\uff0c\u4fe1\u606f\u589e\u76ca\u7528\u516c\u5f0f\u8868\u8fbe\u5982\u4e0b\uff1a<\/p>\n<p>IG(Xi) =\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/entropy.png\" width=\"103\" height=\"31\" \/>&#8211;\u00a0<img decoding=\"async\" src=\"http:\/\/zhangdi.dengxinbo.cn\/x1%20conditional%20entropy.png\" \/><\/p>\n<p>\u6700\u7ec8\uff0cIG(Xi) \u6700\u5927\u7684\u53d8\u91cf\uff0c\u5bf9\u6574\u4e2a\u7cfb\u7edf\u63d0\u4f9b\u7684\u4e0d\u786e\u5b9a\u6027\u8d8a\u9ad8\u3002\u8fd9\u79cd\u7b97\u6cd5\u76f8\u5bf9\u7b2c\u4e00\u79cd\u66f4\u4e3a\u7cbe\u786e\u3002\u7531\u4e8e\u4e00\u7ec4\u53d8\u91cf\u7684\u8054\u5408\u71b5<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/entropy.png\" width=\"103\" height=\"31\" \/>\u91cf\u5316\u4e86\u4e0d\u786e\u5b9a\u6027\u7684\u603b\u91cf\uff0c\u6761\u4ef6\u71b5\u91cf\u5316\u4e86\u53d8\u91cf\u7cfb\u7edf\u4e2d\u90e8\u5206\u53d8\u91cf\u5df2\u77e5\u65f6\u6574\u4e2a\u53d8\u91cf\u7cfb\u7edf\u7684\u5269\u4f59\u4e0d\u786e\u5b9a\u6027\u3002\u56e0\u6b64\uff0c\u4ece\u4fe1\u606f\u7406\u8bba\u7684\u89d2\u5ea6\uff0c\u786e\u5b9a\u5355\u4e2a\u53d8\u91cf\u5bf9\u6574\u4e2a\u7cfb\u7edf\u7684\u4e0d\u786e\u5b9a\u6027\u7684\u8d21\u732e\u7684\u95ee\u9898\uff0c\u5c31\u6210\u4e3a\u8ba1\u7b97\u5176\u8ddd\u79bb\u573a\u4e4b\u95f4\u4fe1\u606f\u91cd\u53e0\u7684\u4efb\u52a1\u3002<\/p>\n<p>Hazarika, S., et al \u7b49\u4eba\u7684\u8bba\u6587\u4e2d\uff0c\u5c31\u91c7\u7528\u4e86\u8fd9\u79cd\u65b9\u6cd5\u6765\u91cf\u5316\u7b49\u503c\u7ebf\u7684\u7684\u91cd\u8981\u6027\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/info%20demo.png\" width=\"727\" height=\"376\" \/><\/p>\n<p>\u5982\u4e0a\u56fe(c)\u6240\u793a\uff0c\u4e00\u5171\u670910\u4e2a\u7b49\u503c\u7ebf\uff0c\u4f60\u53ef\u4ee5\u5c06\u5176\u7406\u89e3\u4e3a10\u4e2a\u53d8\u91cf\u7ec4\u6210\u7684\u53d8\u91cf\u7cfb\u7edf\u3002\u7136\u540e\u6309\u7167\u4e0a\u6587\u7b97\u6cd52,\u8ba1\u7b97\u6bcf\u4e2a\u7b49\u503c\u7ebf\u5bf9\u5e94\u7684\u4fe1\u606f\u589e\u76ca\u3002\u4e3a\u4e86\u4fbf\u4e8e\u4e3a\u4e86\u4fbf\u4e8e\u5728\u4fe1\u606f\u5f15\u5bfc\u4e0b\u63a2\u7d22\u5404\u4e2a\u53d8\u91cf\uff08\u6570\u636e\u7ef4\u5ea6\uff09\uff0c\u4f7f\u7528\u4e86\u5982\u56fe(a)\u6240\u793a\u7684\u4fe1\u606f\u589e\u76ca\u66f2\u7ebf\uff0c\u8ba9\u7528\u6237\u4ea4\u4e92\u5730\u9009\u62e9\u53d8\u91cf\u5e76\u53ef\u89c6\u5316\u5176\u4fe1\u606f\u589e\u76ca\u3002\u5728\u56fe(a)\u4e2d\uff0c\u7eb5\u8f74\u8868\u793a\u4fe1\u606f\u589e\u76ca\uff0c\u6a2a\u8f74\u8868\u793a10\u4e2a\u53d8\u91cf\u3002\u56fe\u4e0a\u7684\u6bcf\u4e2a\u70b9\u5bf9\u5e94\u4e00\u4e2a\u6570\u636e\u7ef4\u5ea6\uff0c\u6309\u5176\u4fe1\u606f\u589e\u76ca\u7684\u964d\u5e8f\u4ece\u5de6\u5230\u53f3\u6392\u5217\u3002\u6211\u4eec\u9009\u62e9\u5176\u4e2d\u4fe1\u606f\u589e\u76ca\u6700\u5927\u76845\u4e2a\u53d8\u91cf\uff0c\u4e5f\u5c31\u662f\u56fe(a)\u4ece\u5de6\u5230\u53f3\u524d5\u4e2a\u70b9\uff0c\u5b83\u4eec\u7d2f\u79ef\u7684\u4fe1\u606f\u589e\u76ca\u5982\u56fe(a)\u4e2d\u90e8\u7684\u5782\u76f4\u9ed1\u7ebf\u8868\u793a\u7684\u90a3\u6837\uff0c\u662f4.42\uff0c\u800c\u5168\u90e810\u4e2a\u53d8\u91cf\u7684\u4fe1\u606f\u91cf\u53ea\u67094.91\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u76ee\u524d\u9009\u4e2d\u76845\u4e2a\u53d8\u91cf\u5305\u542b\u4e86\u7cfb\u7edf\u603b\u4fe1\u606f\u91cf\u768490%\u3002\u8fd95\u4e2a\u9009\u4e2d\u7684\u53d8\u91cf\u5bf9\u5e94\u7684\u7b49\u503c\u7ebf\u5982\u56fe(b)\u6240\u793a\u3002\u5bf9\u6bd4\u56fe(b)\u548c(c)\uff0c\u53ef\u4ee5\u770b\u5230\u8fd9\u4e94\u4e2a\u7b49\u503c\u7ebf\u4f20\u9012\u7684\u4e0d\u786e\u5b9a\u6027\u4fe1\u606f\u51e0\u4e4e\u4e0e\u6240\u6709\u7b49\u503c\u7ebf\u6240\u793a\u7684\u76f8\u540c\u3002\u8fd9\u5bf9\u4e8e\u5177\u6709\u5927\u91cf\u53d8\u91cf\u7684\u7cfb\u7edf\u5c24\u5176\u6709\u7528\uff0c\u56e0\u4e3a\u5b83\u6709\u52a9\u4e8e\u8bc6\u522b\u4e0e\u4e0d\u786e\u5b9a\u6027\u5206\u6790\u76f8\u5173\u7684\u6700\u91cd\u8981\u53d8\u91cf\u3002<\/p>\n<p>\u4e0d\u5f97\u4e0d\u8bf4\u8fd9\u79cd\u65b9\u6cd5\u6709\u70b9\u50cf\u4e3b\u6210\u5206\u5206\u6790\uff08PCA\uff09\uff0c\u76ee\u7684\u8fd1\u4f3c\uff0c\u624b\u6bb5\u4e0d\u540c\uff0c\u6700\u7ec8\u7ed3\u679c\u548c\u5e94\u7528\u573a\u666f\u4e5f\u6709\u533a\u522b\u3002<\/p>\n<h2>\u4e09.\u95ee\u9898\u7684\u5173\u952e\u2014\u2014\u5982\u4f55\u8ba1\u7b97\u591a\u4e2a\u53d8\u91cf\u7684\u8054\u5408\u71b5<\/h2>\n<p>\u7136\u800c\u591a\u4e2a\u53d8\u91cf\u7684\u8054\u5408\u71b5\u8ba1\u7b97\u5e76\u4e0d\u662f\u4e00\u4e2a\u5bb9\u6613\u7684\u4e8b\u3002\u9996\u5148\u6211\u4eec\u770b\u4e00\u4e0b\u591a\u53d8\u91cf\u8054\u5408\u71b5\u7684\u8ba1\u7b97\u516c\u5f0f\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large\" src=\"http:\/\/zhangdi.dengxinbo.cn\/joint%20entropy.png\" width=\"473\" height=\"48\" \/>(1)<\/p>\n<p>\u5176\u4e2dp(x1, &#8230; , xn)\u662f\u968f\u673a\u53d8\u91cfX1, &#8230; , Xn\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\u3002\u800c\u8ba1\u7b97\u8054\u5408\u6982\u7387\u5206\u5e03\u7684\u96be\u5ea6\u662f\u6307\u6570\u578b\u589e\u957f\u7684\u3002\u5047\u8bbe\u968f\u673a\u53d8\u91cfX1, &#8230; , Xn\u90fd\u662f\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\uff0c\u5747\u6709k\u79cd\u53ef\u80fd\u53d6\u503c\u3002\u90a3\u4e48\u8ba1\u7b97\u8054\u5408\u6982\u7387\u5206\u5e03\u5c31\u9700\u8981\u8ba1\u7b97n^k\u6b21\u3002\u663e\u7136\u76f4\u63a5\u8ba1\u7b97\u8054\u5408\u6982\u7387\u5206\u5e03\u662f\u6709\u96be\u5ea6\u7684\u3002<\/p>\n<p>\u4f46\u662f\uff0c\u5982\u679c\u6211\u4eec\u80fd\u66f4\u5de7\u5999\u5730\u77e5\u9053\u8054\u5408\u6982\u7387\u5206\u5e03\u51fd\u6570\uff0c\u90a3\u4e48\u8ba1\u7b97\u8054\u5408\u71b5\u5c31\u6709\u529e\u6cd5\u4e86\u3002\u90a3\u4e48\u5982\u4f55\u8ba1\u7b97\u8054\u5408\u6982\u7387\u5206\u5e03\u51fd\u6570\uff1f\u4e00\u4e2a\u76f4\u63a5\u7684\u529e\u6cd5\uff0c\u662f\u8ba1\u7b97\u591a\u53d8\u91cf\u7684\u8054\u5408\u76f4\u65b9\u56fe<span class=\"fontstyle1\">\uff08joint histogram\uff09<\/span>\u3002\u5bf9\u6b64\uff0c\u6211\u4eec\u9700\u8981\u4e00\u6574\u8282\u7684\u5185\u5bb9\u4ecb\u7ecd\u4ec0\u4e48\u662f\u76f4\u65b9\u56fe\uff0c\u518d\u7528\u4e00\u6574\u8282\u7684\u5185\u5bb9\u4ecb\u7ecd\u4ec0\u4e48\u662f\u8054\u5408\u76f4\u65b9\u56fe\u4ee5\u53ca\u5982\u4f55\u5b58\u50a8\u8054\u5408\u76f4\u65b9\u56fe\uff0c\u6700\u540e\u518d\u7528\u4e00\u8282\u4ecb\u7ecd\u5df2\u77e5\u8054\u5408\u76f4\u65b9\u56fe\u7684\u60c5\u51b5\u4e0b\u600e\u4e48\u8ba1\u7b97\u8054\u5408\u71b5\u548c\u6761\u4ef6\u71b5\u3002<\/p>\n<p>\u53c2\u8003\u6587\u732e\uff1aHazarika, S., et al., Information Guided Exploration of Scalar Values and Isocontours in Ensemble Datasets. Entropy, 2018. 20(7): p. 540.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\uff0c\u80cc\u666f\u548c\u4efb\u52a1\u76ee\u6807 \u5047\u8bbe\u6709\u4e00\u4e2an\u7ef4\u6570\u636e\u96c6<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[70],"class_list":["post-2029","post","type-post","status-publish","format-standard","hentry","category-data-visualization","tag-70"],"_links":{"self":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2029","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/comments?post=2029"}],"version-history":[{"count":0,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2029\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/media?parent=2029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/categories?post=2029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/tags?post=2029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}