{"id":44959,"date":"2023-12-11T15:04:27","date_gmt":"2023-12-11T07:04:27","guid":{"rendered":"https:\/\/wx.kaifamiao.info\/?p=44959"},"modified":"2023-12-11T15:04:27","modified_gmt":"2023-12-11T07:04:27","slug":"%e6%9c%b4%e7%b4%a0%e8%b4%9d%e5%8f%b6%e6%96%af%e5%9f%ba%e6%9c%ac%e5%8e%9f%e7%90%86%e5%92%8c%e9%a2%84%e6%b5%8b%e8%bf%87%e7%a8%8b-2","status":"publish","type":"post","link":"http:\/\/wx.kaifamiao.info\/index.php\/2023\/12\/11\/%e6%9c%b4%e7%b4%a0%e8%b4%9d%e5%8f%b6%e6%96%af%e5%9f%ba%e6%9c%ac%e5%8e%9f%e7%90%86%e5%92%8c%e9%a2%84%e6%b5%8b%e8%bf%87%e7%a8%8b-2\/","title":{"rendered":"\u6734\u7d20\u8d1d\u53f6\u65af\u57fa\u672c\u539f\u7406\u548c\u9884\u6d4b\u8fc7\u7a0b"},"content":{"rendered":"

“`” \u53c2\u8003\u56de\u7b54\uff1a<\/p>\n

\u6734\u7d20\u8d1d\u53f6\u65af\u5206\u7c7b\u548c\u9884\u6d4b\u7b97\u6cd5\u7684\u539f\u7406<\/p>\n

\u51b3\u7b56\u6811\u548c\u6734\u7d20\u8d1d\u53f6\u65af\u662f\u6700\u5e38\u7528\u7684\u4e24\u79cd\u5206\u7c7b\u7b97\u6cd5\uff0c\u672c\u7bc7\u6587\u7ae0\u4ecb\u7ecd\u6734\u7d20\u8d1d\u53f6\u65af\u7b97\u6cd5\u3002\u8d1d\u53f6\u65af\u5b9a\u7406\u662f\u4ee5\u82f1\u56fd\u6570\u5b66\u5bb6\u8d1d\u53f6\u65af\u547d\u540d\uff0c\u7528\u6765\u89e3\u51b3\u4e24\u4e2a\u6761\u4ef6\u6982\u7387\u4e4b\u95f4\u7684\u5173\u7cfb\u95ee\u9898\u3002\u7b80\u5355\u7684\u8bf4\u5c31\u662f\u5728\u5df2\u77e5P(A|B)\u65f6\u5982\u4f55\u83b7\u5f97P(B|A)\u7684\u6982\u7387\u3002\u6734\u7d20\u8d1d\u53f6\u65af\uff08Naive Bayes\uff09\u5047\u8bbe\u7279\u5f81P(A)\u5728\u7279\u5b9a\u7ed3\u679cP(B)\u4e0b\u662f\u72ec\u7acb\u7684\u3002<\/p>\n

1.\u6982\u7387\u57fa\u7840\uff1a<\/p>\n

\u5728\u5f00\u59cb\u4ecb\u7ecd\u8d1d\u53f6\u65af\u4e4b\u524d\uff0c\u5148\u7b80\u5355\u4ecb\u7ecd\u4e0b\u6982\u7387\u7684\u57fa\u7840\u77e5\u8bc6\u3002\u6982\u7387\u662f\u67d0\u4e00\u7ed3\u679c\u51fa\u73b0\u7684\u53ef\u80fd\u6027\u3002\u4f8b\u5982\uff0c\u629b\u4e00\u679a\u5300\u8d28\u786c\u5e01\uff0c\u6b63\u9762\u5411\u4e0a\u7684\u53ef\u80fd\u6027\u591a\u5927\uff1f\u6982\u7387\u503c\u662f\u4e00\u4e2a0-1\u4e4b\u95f4\u7684\u6570\u5b57\uff0c\u7528\u6765\u8861\u91cf\u4e00\u4e2a\u4e8b\u4ef6\u53d1\u751f\u53ef\u80fd\u6027\u7684\u5927\u5c0f\u3002\u6982\u7387\u503c\u8d8a\u63a5\u8fd11\uff0c\u4e8b\u4ef6\u53d1\u751f\u7684\u53ef\u80fd\u6027\u8d8a\u5927\uff0c\u6982\u7387\u503c\u8d8a\u63a5\u8fd10\uff0c\u4e8b\u4ef6\u8d8a\u4e0d\u53ef\u80fd\u53d1\u751f\u3002\u6211\u4eec\u65e5\u5e38\u751f\u6d3b\u4e2d\u542c\u5230\u6700\u591a\u7684\u662f\u5929\u6c14\u9884\u62a5\u4e2d\u7684\u964d\u6c34\u6982\u7387\u3002\u6982\u7387\u7684\u8868\u793a\u65b9\u6cd5\u53eb\u7ef4\u6069\u56fe\u3002\u4e0b\u9762\u6211\u4eec\u901a\u8fc7\u7ef4\u6069\u56fe\u6765\u8bf4\u660e\u8d1d\u53f6\u65af\u516c\u5f0f\u4e2d\u5e38\u89c1\u7684\u51e0\u4e2a\u6982\u7387\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628156809_464688A482D54A6B76D55AA22FE87CB6""><\/p>\n

\u5728\u7ef4\u6069\u56fe\u4e2d\uff1a<\/p>\n

S\uff1aS\u662f\u6837\u672c\u7a7a\u95f4\uff0c\u662f\u6240\u6709\u53ef\u80fd\u4e8b\u4ef6\u7684\u603b\u548c\u3002<\/p>\n

P(A)\uff1a\u662f\u6837\u672c\u7a7a\u95f4S\u4e2dA\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u7ef4\u6069\u56fe\u4e2d\u7eff\u8272\u7684\u90e8\u5206\u3002<\/p>\n

P(B)\uff1a\u662f\u6837\u672c\u7a7a\u95f4S\u4e2dB\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\uff0c\u7ef4\u6069\u56fe\u4e2d\u84dd\u8272\u7684\u90e8\u5206\u3002<\/p>\n

P(A\u2229B)\uff1a\u662f\u6837\u672c\u7a7a\u95f4S\u4e2dA\u4e8b\u4ef6\u548cB\u4e8b\u4ef6\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\uff0c\u4e5f\u5c31\u662fA\u548cB\u76f8\u4ea4\u7684\u533a\u57df\u3002<\/p>\n

P(A|B)\uff1a\u662f\u6761\u4ef6\u6982\u7387\uff0c\u662fB\u4e8b\u4ef6\u5df2\u7ecf\u53d1\u751f\u65f6A\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n

\u5bf9\u4e8e\u6761\u4ef6\u6982\u7387\uff0c\u8fd8\u6709\u4e00\u79cd\u66f4\u6e05\u6670\u7684\u8868\u793a\u65b9\u5f0f\u53eb\u6982\u7387\u6811\u3002\u4e0b\u9762\u7684\u6982\u7387\u6811\u8868\u793a\u4e86\u6761\u4ef6\u6982\u7387P(A|B)\u3002\u4e0e\u7ef4\u6069\u56fe\u4e2d\u7684P(A\u2229B)\u76f8\u6bd4\uff0c\u53ef\u4ee5\u53d1\u73b0\u4e24\u8005\u660e\u663e\u7684\u533a\u522b\u3002P(A\u2229B)\u662f\u4e8b\u4ef6A\u548c\u4e8b\u4ef6B\u540c\u65f6\u53d1\u73b0\u7684\u60c5\u51b5\uff0c\u56e0\u6b64\u662f\u4e24\u8005\u76f8\u4ea4\u533a\u57df\u7684\u6982\u7387\u3002\u800c\u4e8b\u4ef6\u6982\u7387P(A|B)\u662f\u4e8b\u4ef6B\u53d1\u751f\u65f6\u4e8b\u4ef6A\u53d1\u751f\u7684\u6982\u7387\u3002\u8fd9\u91cc\u6709\u4e00\u4e2a\u5148\u51b3\u6761\u4ef6\u5c31\u662fP(B)\u8981\u9996\u5148\u53d1\u751f\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628192618_98FB0B648654ED4EB53DB8328218EA39""><\/p>\n

\u56e0\u4e3a\u6761\u4ef6\u6982\u7387P(A|B)\u662f\u5728\u4e8b\u4ef6B\u5df2\u7ecf\u53d1\u751f\u7684\u60c5\u51b5\u4e0b\uff0c\u4e8b\u4ef6A\u53d1\u751f\u7684\u6982\u7387\uff0c\u56e0\u6b64P(A|B)\u53ef\u4ee5\u8868\u793a\u4e3a\u4e8b\u4ef6A\u4e0eB\u7684\u4ea4\u96c6\u4e0e\u4e8b\u4ef6B\u7684\u6bd4\u7387\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628310825_12B43EC8C612374358A755E3711D0E3D"">\u8be5\u516c\u5f0f\u8fd8\u53ef\u4ee5\u8f6c\u6362\u4e3a\u4ee5\u4e0b\u5f62\u5f0f\uff0c\u4ee5\u4fbf\u6211\u4eec\u4e0b\u9762\u8fdb\u884c\u8d1d\u53f6\u65af\u516c\u5f0f\u8ba1\u7b97\u65f6\u4f7f\u7528\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628292820_16431AAE44FC27E61915C82CA6E38106"">2.\u8d1d\u53f6\u65af\u516c\u5f0f\uff1a<\/p>\n

\u8d1d\u53f6\u65af\u7b97\u6cd5\u901a\u8fc7\u5df2\u77e5\u7684P(A|B)\uff0cP(A),\u548cP(B)\u4e09\u4e2a\u6982\u7387\u8ba1\u7b97P(B|A)\u53d1\u751f\u7684\u6982\u7387\u3002\u5047\u8bbe\u6211\u4eec\u73b0\u5728\u5df2\u77e5P(A|B)\uff0cP(A)\u548cP(B)\u4e09\u4e2a\u6982\u7387\uff0c\u5982\u4f55\u8ba1\u7b97P(B|A)\u5462\uff1f\u901a\u8fc7\u524d\u9762\u7684\u6982\u7387\u6811\u53caP(A|B)\u7684\u6982\u7387\u53ef\u77e5\uff0cP(B|A)\u7684\u6982\u7387\u662f\u5728\u4e8b\u4ef6A\u53d1\u751f\u7684\u524d\u63d0\u4e0b\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\uff0c\u56e0\u6b64P(B|A)\u53ef\u4ee5\u8868\u793a\u4e3a\u4e8b\u4ef6B\u4e0e\u4e8b\u4ef6A\u7684\u4ea4\u96c6\u4e0e\u4e8b\u4ef6A\u7684\u6bd4\u7387\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628269067_8364E171D17D19191B75A317F75A5524"">\u8be5\u516c\u5f0f\u540c\u6837\u53ef\u4ee5\u8f6c\u5316\u4e3a\u4ee5\u4e0b\u5f62\u5f0f\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628246681_74701FC2F6C6C809BD5C59620A71092A"">\u5230\u8fd9\u4e00\u6b65\uff0c\u6211\u4eec\u53ea\u9700\u8981\u8bc1\u660eP(A\u2229B)= P(B\u2229A)\u5c31\u53ef\u4ee5\u8bc1\u660e\u5728\u5df2\u77e5P(A|B)\u7684\u60c5\u51b5\u4e0b\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u83b7\u5f97P(B|A)\u7684\u6982\u7387\u3002\u6211\u4eec\u5c06\u6982\u7387\u6811\u8f6c\u5316\u4e3a\u4e0b\u9762\u7684\u6982\u7387\u8868\uff0c\u5206\u522b\u5217\u51faP(A|B),P(B|A),P(A),\u548cP(B)\u7684\u6982\u7387\u3002<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628336860_EDEA503FC06A9E195A68CEF95901677C""><\/p>\n

\u901a\u8fc7\u8ba1\u7b97\u53ef\u4ee5\u8bc1\u660eP(A|B)<em>P(B)\u548cP(B|A)<\/em>P(A)\u6700\u540e\u6c42\u5f97\u7684\u7ed3\u679c\u662f\u6982\u7387\u8868\u4e2d\u7684\u540c\u4e00\u4e2a\u533a\u57df\u7684\u503c\uff0c\u56e0\u6b64\uff1a<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628377892_4CAE7B286EA23760C0C438021A40C421""><\/p>\n

\u6211\u4eec\u901a\u8fc7P(A\u2229B)= P(B\u2229A)\u8bc1\u660e\u4e86\u5728\u5df2\u77e5P(A|B)\uff0cP(A),\u548cP(B)\u4e09\u4e2a\u6982\u7387\u7684\u60c5\u51b5\u4e0b\u53ef\u4ee5\u8ba1\u7b97\u51faP(B|A)\u53d1\u751f\u7684\u6982\u7387\u3002\u6574\u4e2a\u63a8\u5bfc\u548c\u8ba1\u7b97\u8fc7\u7a0b\u53ef\u4ee5\u8bf4\u5f97\u901a\u3002\u4f46\u4ece\u7edf\u8ba1\u5b66\u7684\u89d2\u5ea6\u6765\u770b\uff0cP(A|B)\u548cP(B|A)\u4e24\u4e2a\u6761\u4ef6\u6982\u7387\u4e4b\u95f4\u5b58\u5728\u600e\u6837\u7684\u5173\u7cfb\u5462\uff1f\u6211\u4eec\u4ece\u8d1d\u53f6\u65af\u63a8\u65ad\u91cc\u53ef\u4ee5\u627e\u5230\u7b54\u6848\u3002<\/p>\n

3.\u8d1d\u53f6\u65af\u63a8\u65ad\uff1a<\/p>\n

\u8d1d\u53f6\u65af\u63a8\u65ad\u53ef\u4ee5\u8bf4\u660e\u8d1d\u53f6\u65af\u5b9a\u7406\u4e2d\u4e24\u4e2a\u6761\u4ef6\u6982\u7387\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u6362\u53e5\u8bdd\u8bf4\u5c31\u662f\u6211\u4eec\u4e3a\u4ec0\u4e48\u53ef\u4ee5\u901a\u8fc7P(A|B)\uff0cP(A),\u548cP(B)\u4e09\u4e2a\u6982\u7387\u8ba1\u7b97\u51faP(B|A)\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628401215_E1CD321FE302C02B257A0840F415EE68""><\/p>\n

\u5728\u8d1d\u53f6\u65af\u63a8\u65ad\u4e2d\uff0c\u6bcf\u4e00\u79cd\u6982\u7387\u90fd\u6709\u4e00\u4e2a\u7279\u5b9a\u7684\u540d\u5b57\uff1a<\/p>\n

P(B)\u662f\u201d\u5148\u9a8c\u6982\u7387\u201d(Prior probability)\u3002<\/p>\n

P(A)\u662f\u201d\u5148\u9a8c\u6982\u7387\u201d(Prior probability)\uff0c\u4e5f\u4f5c\u6807\u51c6\u5316\u5e38\u91cf(normalized constant)\u3002<\/p>\n

P(A|B)\u662f\u5df2\u77e5B\u53d1\u751f\u540eA\u7684\u6761\u4ef6\u6982\u7387\uff0c\u53eb\u505a\u4f3c\u7136\u51fd\u6570(likelihood)\u3002<\/p>\n

P(B|A)\u662f\u5df2\u77e5A\u53d1\u751f\u540eB\u7684\u6761\u4ef6\u6982\u7387\uff0c\u662f\u6211\u4eec\u8981\u6c42\u7684\u503c\uff0c\u53eb\u505a\u540e\u9a8c\u6982\u7387\u3002<\/p>\n

P(A|B)\/P(A)\u662f\u8c03\u6574\u56e0\u5b50\uff0c\u4e5f\u88ab\u79f0\u4f5c\u6807\u51c6\u4f3c\u7136\u5ea6\uff08standardised likelihood\uff09\u3002<\/p>\n

<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/311436_1552628429031_022DC6628FAD2431547AB90BBC660033""><\/p>\n

\u8d1d\u53f6\u65af\u63a8\u65ad\u4e2d\u6709\u51e0\u4e2a\u5173\u952e\u7684\u6982\u5ff5\u9700\u8981\u8bf4\u660e\u4e0b\uff1a<\/p>\n

\u7b2c\u4e00\u4e2a\u662f\u5148\u9a8c\u6982\u7387\uff0c\u5148\u9a8c\u6982\u7387\u662f\u6307\u6211\u4eec\u4e3b\u89c2\u901a\u8fc7\u4e8b\u4ef6\u53d1\u751f\u6b21\u6570\u5bf9\u6982\u7387\u7684\u5224\u65ad\u3002<\/p>\n

\u7b2c\u4e8c\u4e2a\u662f\u4f3c\u7136\u51fd\u6570\uff0c\u4f3c\u7136\u51fd\u6570\u662f\u5bf9\u67d0\u4ef6\u4e8b\u53d1\u751f\u53ef\u80fd\u6027\u7684\u5224\u65ad\uff0c\u4e0e\u6761\u4ef6\u6982\u7387\u6b63\u597d\u76f8\u53cd\u3002\u901a\u8fc7\u4e8b\u4ef6\u5df2\u7ecf\u53d1\u751f\u7684\u6982\u7387\u63a8\u7b97\u4e8b\u4ef6\u53ef\u80fd\u6027\u7684\u6982\u7387\u3002<\/p>\n

\u7ef4\u57fa\u767e\u79d1\u4e2d\u5bf9\u4f3c\u7136\u51fd\u6570\u4e0e\u6982\u7387\u7684\u89e3\u91ca\uff1a<\/p>\n

\u6982\u7387\uff1a\u662f\u7ed9\u5b9a\u67d0\u4e00\u53c2\u6570\u503c\uff0c\u6c42\u67d0\u4e00\u7ed3\u679c\u7684\u53ef\u80fd\u6027\u3002<\/p>\n

\u4f8b\u5982\uff0c\u629b\u4e00\u679a\u5300\u8d28\u786c\u5e01\uff0c\u629b10\u6b21\uff0c6\u6b21\u6b63\u9762\u5411\u4e0a\u7684\u53ef\u80fd\u6027\u591a\u5927\uff1f<\/p>\n

\u4f3c\u7136\u51fd\u6570\uff1a\u7ed9\u5b9a\u67d0\u4e00\u7ed3\u679c\uff0c\u6c42\u67d0\u4e00\u53c2\u6570\u503c\u7684\u53ef\u80fd\u6027\u3002<\/p>\n

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<p>\u540e\u9a8c\u6982\u7387\uff1d\u5148\u9a8c\u6982\u7387\uff58\u8c03\u6574\u56e0\u5b50<\/p> "“`<\/p>\n","protected":false},"excerpt":{"rendered":"

“`” \u53c2\u8003\u56de\u7b54\uff1a \u6734\u7d20\u8d1d\u53f6\u65af\u5206\u7c7b\u548c\u9884\u6d4b\u7b97\u6cd5\u7684\u539f\u7406 \u51b3\u7b56\u6811\u548c\u6734\u7d20\u8d1d\u53f6\u65af\u662f\u6700\u5e38\u7528\u7684\u4e24\u79cd\u5206 […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-44959","post","type-post","status-publish","format-standard","hentry","category-c"],"_links":{"self":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/44959","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/comments?post=44959"}],"version-history":[{"count":1,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/44959\/revisions"}],"predecessor-version":[{"id":44960,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/44959\/revisions\/44960"}],"wp:attachment":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/media?parent=44959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/categories?post=44959"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/tags?post=44959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}