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\u662f&quot;\u5927\u8c61&quot;\u3002<\/p>\n<p>\u8fd9\u4e2a\u5047\u8bbe\u770b\u8d77\u6765\u5f88\u7c97\u7cd9\u2014\u2014\u4eba\u7c7b\u8bf4\u8bdd\u65f6,\u4e0d\u662f\u53ea\u770b\u524d\u51e0\u4e2a\u8bcd,\u800c\u662f\u7406\u89e3\u6574\u4e2a\u53e5\u5b50\u7684\u610f\u601d\u554a!<\/p>\n<p>\u4f46\u5434\u519b\u6307\u51fa,\u8fd9\u4e2a&quot;\u7c97\u7cd9&quot;\u7684\u6a21\u578b,\u5374\u5728\u5b9e\u8df5\u4e2d\u975e\u5e38\u6709\u6548\u3002\u56e0\u4e3a\u8bed\u8a00\u867d\u7136\u590d\u6742,\u4f46\u7edf\u8ba1\u89c4\u5f8b\u5374\u5f88\u7a33\u5b9a\u3002\u901a\u8fc7\u5206\u6790\u6d77\u91cf\u7684\u6587\u672c\u6570\u636e,\u8ba1\u7b97\u673a\u53ef\u4ee5\u5b66\u4e60\u5230\u8fd9\u4e9b\u7edf\u8ba1\u89c4\u5f8b,\u4ece\u800c\u505a\u51fa\u60ca\u4eba\u51c6\u786e\u7684\u9884\u6d4b\u3002<\/p>\n<h3>\u673a\u5668\u7ffb\u8bd1\u7684\u7a81\u7834<\/h3>\n<p>\u4e66\u4e2d\u8be6\u7ec6\u8bb2\u8ff0\u4e86\u673a\u5668\u7ffb\u8bd1\u7684\u53d1\u5c55\u5386\u7a0b\u3002<\/p>\n<p>\u65e9\u671f\u7684\u7ffb\u8bd1\u7cfb\u7edf\u57fa\u4e8e\u89c4\u5219:\u628a\u4e2d\u6587\u7684\u8bed\u6cd5\u89c4\u5219\u8f6c\u6362\u6210\u82f1\u6587\u7684\u8bed\u6cd5\u89c4\u5219\u3002\u4f46\u8fd9\u79cd\u65b9\u6cd5\u7684\u7ffb\u8bd1\u8d28\u91cf\u5f88\u5dee,\u56e0\u4e3a\u4e24\u79cd\u8bed\u8a00\u7684\u7ed3\u6784\u5dee\u5f02\u592a\u5927\u3002<\/p>\n<p>IBM\u7684\u79d1\u5b66\u5bb6\u6362\u4e86\u4e2a\u601d\u8def:\u628a\u7ffb\u8bd1\u770b\u4f5c\u4e00\u4e2a\u7edf\u8ba1\u95ee\u9898\u3002\u7ed9\u5b9a\u4e00\u53e5\u4e2d\u6587,\u4ec0\u4e48\u6837\u7684\u82f1\u6587\u7ffb\u8bd1\u6700\u6709\u53ef\u80fd?<\/p>\n<p>\u8fd9\u4e2a\u95ee\u9898\u53ef\u4ee5\u7528\u8d1d\u53f6\u65af\u516c\u5f0f\u8868\u8fbe:<\/p>\n<p>P(\u82f1\u6587|\u4e2d\u6587) = P(\u4e2d\u6587|\u82f1\u6587) \u00d7 P(\u82f1\u6587) \/ 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46\u54c1\u3002<\/p>\n<p>\u63a8\u8350\u7cfb\u7edf\u7684\u4efb\u52a1\u662f:\u9884\u6d4b\u90a3\u4e9b\u7a7a\u767d\u7684\u8bc4\u5206\u3002\u600e\u4e48\u505a?\u628a\u8fd9\u4e2a\u77e9\u9635\u5206\u89e3\u6210\u4e24\u4e2a\u4f4e\u79e9\u77e9\u9635\u7684\u4e58\u79ef,\u4e00\u4e2a\u4ee3\u8868\u7528\u6237\u7684\u504f\u597d\u7279\u5f81,\u4e00\u4e2a\u4ee3\u8868\u5546\u54c1\u7684\u5c5e\u6027\u7279\u5f81\u3002<\/p>\n<p>\u901a\u8fc7\u8fd9\u4e2a\u5206\u89e3,\u7cfb\u7edf\u53ef\u4ee5\u9884\u6d4b:\u5982\u679c\u67d0\u4e2a\u7528\u6237\u559c\u6b22A\u548cB\u5546\u54c1,\u4ed6\u5f88\u53ef\u80fd\u4e5f\u559c\u6b22\u5177\u6709\u76f8\u4f3c\u7279\u5f81\u7684C\u5546\u54c1\u3002<\/p>\n<p>\u8fd9\u4e00\u5207,\u90fd\u5efa\u7acb\u5728\u77e9\u9635\u7684\u6570\u5b66\u6027\u8d28\u4e0a\u3002<\/p>\n<h2>\u7b2c\u4e94\u7ae0:\u8d1d\u53f6\u65af:\u4ece\u4e0d\u786e\u5b9a\u5230\u786e\u5b9a<\/h2>\n<p>\u5982\u679c\u8bf4\u6709\u4e00\u4e2a\u6570\u5b66\u516c\u5f0f\u6539\u53d8\u4e86\u4e16\u754c,\u90a3\u4e00\u5b9a\u662f\u8d1d\u53f6\u65af\u516c\u5f0f\u3002<\/p>\n<h3>\u9006\u5411\u601d\u7ef4\u7684\u529b\u91cf<\/h3>\n<p>\u8d1d\u53f6\u65af\u516c\u5f0f\u89e3\u51b3\u7684\u662f\u4e00\u4e2a&quot;\u9006\u5411&quot;\u95ee\u9898:<\/p>\n<ul>\n<li>\u6b63\u5411\u95ee\u9898:\u5df2\u77e5\u539f\u56e0,\u63a8\u6d4b\u7ed3\u679c<\/li>\n<li>\u9006\u5411\u95ee\u9898:\u5df2\u77e5\u7ed3\u679c,\u63a8\u6d4b\u539f\u56e0<\/li>\n<\/ul>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u7ecf\u5178\u4f8b\u5b50:\u5783\u573e\u90ae\u4ef6\u8fc7\u6ee4\u3002<\/p>\n<p>\u6b63\u5411\u5f88\u5bb9\u6613:\u5982\u679c\u4e00\u5c01\u90ae\u4ef6\u662f\u5783\u573e\u90ae\u4ef6,\u5b83\u5305\u542b&quot;\u514d\u8d39&quot;\u3001&quot;\u4e2d\u5956&quot;\u8fd9\u4e9b\u8bcd\u7684\u6982\u7387\u5f88\u9ad8\u3002<\/p>\n<p>\u4f46\u6211\u4eec\u9762\u5bf9\u7684\u662f\u9006\u5411\u95ee\u9898:\u4e00\u5c01\u90ae\u4ef6\u5305\u542b&quot;\u514d\u8d39&quot;\u3001&quot;\u4e2d\u5956&quot;,\u5b83\u662f\u5783\u573e\u90ae\u4ef6\u7684\u6982\u7387\u662f\u591a\u5c11?<\/p>\n<p>\u8d1d\u53f6\u65af\u516c\u5f0f\u7ed9\u51fa\u4e86\u7cbe\u786e\u7684\u7b54\u6848:<\/p>\n<p>P(\u5783\u573e|\u8bcd) = P(\u8bcd|\u5783\u573e) \u00d7 P(\u5783\u573e) \/ P(\u8bcd)<\/p>\n<p>\u901a\u8fc7\u5b66\u4e60\u5927\u91cf\u7684\u5783\u573e\u90ae\u4ef6\u548c\u6b63\u5e38\u90ae\u4ef6,\u7cfb\u7edf\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u8bcd\u7684&quot;\u5783\u573e\u6307\u6807&quot;\u3002\u5f53\u4e00\u5c01\u65b0\u90ae\u4ef6\u5230\u6765\u65f6,\u7efc\u5408\u6240\u6709\u8bcd\u7684\u6307\u6807,\u5c31\u80fd\u5224\u65ad\u5b83\u662f\u4e0d\u662f\u5783\u573e\u3002<\/p>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u57281990\u5e74\u4ee3\u672b\u5f7b\u5e95\u6539\u53d8\u4e86\u5783\u573e\u90ae\u4ef6\u8fc7\u6ee4\u6280\u672f\u3002<\/p>\n<h3>\u6734\u7d20\u8d1d\u53f6\u65af\u7684&quot;\u6734\u7d20&quot;\u667a\u6167<\/h3>\n<p>\u5434\u519b\u7279\u522b\u5f3a\u8c03\u4e86&quot;\u6734\u7d20\u8d1d\u53f6\u65af&quot;\u7684\u4ef7\u503c\u3002<\/p>\n<p>\u8fd9\u4e2a\u7b97\u6cd5\u88ab\u79f0\u4e3a&quot;\u6734\u7d20&quot;,\u662f\u56e0\u4e3a\u5b83\u505a\u4e86\u4e00\u4e2a\u7b80\u5316\u5047\u8bbe:\u6240\u6709\u7279\u5f81\u76f8\u4e92\u72ec\u7acb\u3002\u6bd4\u5982\u5728\u5783\u573e\u90ae\u4ef6\u4e2d,&quot;\u514d\u8d39&quot;\u548c&quot;\u4e2d\u5956&quot;\u7684\u51fa\u73b0\u662f\u72ec\u7acb\u7684\u3002<\/p>\n<p>\u8fd9\u4e2a\u5047\u8bbe\u5728\u4e25\u683c\u610f\u4e49\u4e0a\u662f\u9519\u7684\u2014\u2014\u8fd9\u4e24\u4e2a\u8bcd\u7ecf\u5e38\u4e00\u8d77\u51fa\u73b0\u3002\u4f46\u5434\u519b\u6307\u51fa,\u8fd9\u79cd&quot;\u6734\u7d20&quot;\u7684\u5047\u8bbe,\u53cd\u800c\u8ba9\u7b97\u6cd5\u53d8\u5f97\u7b80\u5355\u3001\u9ad8\u6548\u3001\u9c81\u68d2\u3002<\/p>\n<p>\u8fd9\u518d\u6b21\u5370\u8bc1\u4e86\u4e66\u4e2d\u7684\u6838\u5fc3\u89c2\u70b9:\u5728\u5b9e\u9645\u5e94\u7528\u4e2d,\u7b80\u5355\u7684\u6a21\u578b\u5f80\u5f80\u80dc\u8fc7\u590d\u6742\u7684\u6a21\u578b\u3002\u4e0d\u662f\u56e0\u4e3a\u7b80\u5355\u6a21\u578b\u66f4\u51c6\u786e,\u800c\u662f\u56e0\u4e3a\u5b83\u66f4\u5bb9\u6613\u8bad\u7ec3\u3001\u66f4\u4e0d\u5bb9\u6613\u8fc7\u62df\u5408\u3001\u66f4\u5bb9\u6613\u89e3\u91ca\u3002<\/p>\n<h3>\u8d1d\u53f6\u65af\u7f51\u7edc<\/h3>\n<p>\u4e66\u4e2d\u8fd8\u4ecb\u7ecd\u4e86\u8d1d\u53f6\u65af\u7f51\u7edc\u2014\u2014\u4e00\u79cd\u7528\u56fe\u7ed3\u6784\u8868\u793a\u6982\u7387\u4f9d\u8d56\u5173\u7cfb\u7684\u6a21\u578b\u3002<\/p>\n<p>\u8fd9\u4e2a\u6a21\u578b\u5728\u533b\u7597\u8bca\u65ad\u3001\u6545\u969c\u68c0\u6d4b\u3001\u98ce\u9669\u8bc4\u4f30\u7b49\u9886\u57df\u6709\u5e7f\u6cdb\u5e94\u7528\u3002\u5b83\u7684\u5f3a\u5927\u4e4b\u5904\u5728\u4e8e:\u53ef\u4ee5\u5728\u4e0d\u786e\u5b9a\u7684\u4fe1\u606f\u4e0b\u8fdb\u884c\u63a8\u7406,\u5e76\u968f\u7740\u65b0\u8bc1\u636e\u7684\u51fa\u73b0\u4e0d\u65ad\u66f4\u65b0\u5224\u65ad\u3002<\/p>\n<p>\u6bd4\u5982\u4e00\u4e2a\u533b\u7597\u8bca\u65ad\u7cfb\u7edf,\u521d\u59cb\u65f6\u53ea\u77e5\u9053\u60a3\u8005\u7684\u75c7\u72b6,\u7ed9\u51fa\u4e00\u4e2a\u521d\u6b65\u8bca\u65ad\u6982\u7387\u3002\u7136\u540e\u505a\u4e86\u8840\u6db2\u68c0\u67e5,\u5f97\u5230\u65b0\u4fe1\u606f,\u7cfb\u7edf\u5c31\u7528\u8d1d\u53f6\u65af\u516c\u5f0f\u66f4\u65b0\u6982\u7387\u3002\u518d\u505a\u5f71\u50cf\u68c0\u67e5,\u518d\u66f4\u65b0\u4e00\u6b21\u3002\u6bcf\u6b21\u66f4\u65b0,\u8bca\u65ad\u90fd\u66f4\u51c6\u786e\u4e00\u70b9\u3002<\/p>\n<p>\u8fd9\u79cd&quot;\u4e0d\u65ad\u5b66\u4e60\u3001\u4e0d\u65ad\u66f4\u65b0&quot;\u7684\u673a\u5236,\u6b63\u662f\u8d1d\u53f6\u65af\u65b9\u6cd5\u7684\u7cbe\u9ad3\u3002<\/p>\n<h2>\u7b2c\u516d\u7ae0:\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\u2014\u2014\u770b\u4e0d\u89c1\u7684\u72b6\u6001<\/h2>\n<p>\u5434\u519b\u8ba4\u4e3a,\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b(HMM)\u662f\u8bed\u97f3\u8bc6\u522b\u7684\u6838\u5fc3\u6280\u672f\u3002<\/p>\n<h3>\u8bed\u97f3\u8bc6\u522b\u7684\u6311\u6218<\/h3>\n<p>\u5f53\u4f60\u5bf9\u7740\u624b\u673a\u8bf4&quot;\u6253\u5f00\u5fae\u4fe1&quot;,\u624b\u673a\u662f\u600e\u4e48\u8bc6\u522b\u7684?<\/p>\n<p>\u8fd9\u4e2a\u95ee\u9898\u6bd4\u770b\u8d77\u6765\u590d\u6742\u5f97\u591a\u3002\u6bcf\u4e2a\u4eba\u7684\u58f0\u97f3\u4e0d\u540c,\u8bed\u901f\u4e0d\u540c,\u53e3\u97f3\u4e0d\u540c,\u80cc\u666f\u566a\u97f3\u4e0d\u540c\u3002\u5373\u4f7f\u540c\u4e00\u4e2a\u4eba\u8bf4\u540c\u4e00\u53e5\u8bdd,\u6bcf\u6b21\u7684\u58f0\u6ce2\u4e5f\u4e0d\u5b8c\u5168\u4e00\u6837\u3002<\/p>\n<p>\u65e9\u671f\u7684\u8bed\u97f3\u8bc6\u522b\u7cfb\u7edf\u8bd5\u56fe\u7528\u58f0\u5b66\u89c4\u5219\u6765\u5339\u914d:\u628a\u58f0\u6ce2\u7684\u7279\u5f81\u548c\u9884\u5b9a\u4e49\u7684\u97f3\u7d20\u6a21\u677f\u5bf9\u6bd4\u3002\u4f46\u8fd9\u79cd\u65b9\u6cd5\u6548\u679c\u5f88\u5dee,\u53ea\u80fd\u8bc6\u522b\u7279\u5b9a\u4eba\u7684\u7279\u5b9a\u8bcd\u6c47\u3002<\/p>\n<h3>\u9690\u85cf\u72b6\u6001\u7684\u5efa\u6a21<\/h3>\n<p>HMM\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5168\u65b0\u7684\u601d\u8def:\u628a\u8bed\u97f3\u8bc6\u522b\u770b\u4f5c\u4e00\u4e2a\u4e24\u5c42\u7cfb\u7edf\u3002<\/p>\n<p>\u7b2c\u4e00\u5c42\u662f&quot;\u9690\u85cf\u72b6\u6001&quot;\u2014\u2014\u8bf4\u8bdd\u4eba\u60f3\u8868\u8fbe\u7684\u8bcd\u5e8f\u5217\u3002\u8fd9\u4e2a\u662f\u6211\u4eec\u770b\u4e0d\u5230\u7684,\u9700\u8981\u63a8\u6d4b\u7684\u3002<\/p>\n<p>\u7b2c\u4e8c\u5c42\u662f&quot;\u89c2\u6d4b\u503c&quot;\u2014\u2014\u6211\u4eec\u542c\u5230\u7684\u58f0\u6ce2\u4fe1\u53f7\u3002\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