{"id":15020,"date":"2022-02-12T16:38:00","date_gmt":"2022-02-12T08:38:00","guid":{"rendered":"https:\/\/achieve.dhcn.cn\/?p=15020"},"modified":"2024-04-04T01:29:04","modified_gmt":"2024-04-03T17:29:04","slug":"%e3%80%8a%e6%b1%89%e4%b9%a6%c2%b7%e8%89%ba%e6%96%87%e5%bf%97%e3%80%8b%e7%9b%ae%e5%bd%95%e5%88%86%e7%b1%bb%e5%86%8d%e5%ae%a1%e8%a7%86","status":"publish","type":"post","link":"https:\/\/achieve.dhcn.cn\/en\/site\/works\/dhjournal\/202103\/15020.html","title":{"rendered":"\u300a\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u300b\u76ee\u5f55\u5206\u7c7b\u518d\u5ba1\u89c6"},"content":{"rendered":"<p>\u4f5c\u8005\uff1a \u8bf8\u96e8\u8fb0  \u674e\u7ec5<strong> <\/strong>\uff1b\u8f6c\u81ea\uff1a\u516c\u4f17\u53f7 DH\u6570\u5b57\u4eba\u6587  <\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong><span style=\"color:#60569a\" class=\"has-inline-color\"><strong>Infrastructure<\/strong><\/span><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Di_3_Qi-1024x361.png\" alt=\"\" class=\"wp-image-15013\" width=\"742\" height=\"262\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Di_3_Qi-1024x361.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Di_3_Qi-300x106.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Di_3_Qi-768x271.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Di_3_Qi.png 1147w\" sizes=\"auto, (max-width: 742px) 100vw, 742px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#0071a1\"><strong>\u8bf8\u96e8\u8fb0<\/strong><strong>&nbsp;<\/strong><strong>\/&nbsp;<\/strong><strong>\u5317\u4eac\u5e08\u8303\u5927\u5b66\u6587\u5b66\u9662<\/strong><\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#0071a1\"><strong>\u674e\u7ec5<\/strong><strong>&nbsp;\/&nbsp;<\/strong><strong>\u5317\u4eac\u5e08\u8303\u5927\u5b66\u4e2d\u6587\u4fe1\u606f\u5904\u7406\u7814\u7a76\u6240<\/strong><\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#0071a1\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n\n\n\n<p><strong><span style=\"color:#0071a1\" class=\"has-inline-color\">\u6458\u8981:<\/span><\/strong>\u4e3a\u8003\u5bdf\u300a\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u300b\u6587\u732e\u5206\u7c7b\u7684\u591a\u5143\u53ef\u80fd\u6027\uff0c\u6587\u7ae0\u8fd0\u7528\u57fa\u4e8e\u795e\u7ecf\u8bcd\u5411\u91cf\u7684K-means++\u3001Gaussian Mixture Model\u548cSpectral 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style=\"color:#0071a1\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&nbsp;<\/p>\n\n\n\n<p>\u6c49\u4ee3\u5218\u5411\u3001\u5218\u6b46\u7236\u5b50\u6240\u64b0\u300a\u4e03\u7565\u300b\u662f\u4e2d\u56fd\u53e4\u4ee3\u76ee\u5f55\u5b66\u7684\u5960\u57fa\u4e4b\u4f5c\uff0c\u5f71\u54cd\u6df1\u8fdc\uff0c\u867d\u7136\u5176\u4e66\u5df2\u4ea1\u4f5a\uff0c\u4f46\u540e\u4eba\u5374\u53ef\u6839\u636e\u300a\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u300b(\u4ee5\u4e0b\u7b80\u79f0\u300a\u6c49\u5fd7\u300b)\u7aa5\u5176\u5927\u7565\u3002\u6e05\u4ee3\u7ae0\u5b66\u8bda\u79f0\u8d5e\u9053:\u201c\u6821\u96e0\u4e4b\u4e49\uff0c\u76d6\u81ea\u5218\u5411\u7236\u5b50\u90e8\u6b21\u6761\u522b\uff0c\u5c06\u4ee5\u8fa8\u7ae0\u5b66\u672f\uff0c\u8003\u955c\u6e90\u6d41;\u975e\u6df1\u660e\u4e8e\u9053\u672f\u7cbe\u5fae\u3001\u7fa4\u8a00\u5f97\u5931\u4e4b\u6545\u8005\uff0c\u4e0d\u8db3\u4e0e\u6b64\u3002\u201d(\u300a\u6821\u96e0\u901a\u4e49\u00b7\u53d9\u300b)<sup>[1]<\/sup>\u540e\u4eba\u6cbf\u6b64\uff0c\u4e5f\u591a\u4ece\u5b66\u672f\u53f2\u3001\u601d\u60f3\u53f2\u89d2\u5ea6\u79f0\u8d5e\u5176\u4ef7\u503c\uff0c\u6bd4\u5982\u9093\u9a8f\u6377\u5f52\u7eb3\u300a\u4e03\u7565\u300b\u201c\u5b66\u672f\u51fa\u4e8e\u738b\u5b98\u201d\u7684\u5b66\u672f\u53f2\u89c2\uff0c\u4ece\u7ecf\u3001\u5b50\u4e4b\u5173\u7cfb\u89d2\u5ea6\uff0c\u8bba\u8ff0\u4e86\u300a\u4e03\u7565\u300b\u5efa\u6784\u7684\u5b66\u672f\u4f53\u7cfb\u3002\u6bb5\u607a\u3001\u7ae5\u5e86\u70b3\u4e5f\u9610\u91ca\u4e86\u300a\u6c49\u5fd7\u300b\u5efa\u6784\u5112\u5b66\u8bdd\u8bed\u6743\u5a01\u7684\u601d\u60f3\u53f2\u610f\u4e49\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u4e5f\u6709\u5b66\u8005\u53cd\u601d\u5218\u5411\u7236\u5b50\u7684\u7f16\u76ee\u5de5\u4f5c\uff0c\u8ba4\u4e3a\u65e0\u8bba\u300a\u4e03\u7565\u300b\u8fd8\u662f\u300a\u6c49\u5fd7\u300b\u90fd\u4ee5\u4e66\u7c4d\u76ee\u5f55\u4e3a\u57fa\u672c\u6027\u8d28\uff0c\u7f3a\u4e4f\u7cfb\u7edf\u3001\u4e25\u5bc6\u7684\u5b66\u672f\u89c2\u7167\u3002\u6216\u8005\u4ece\u65e9\u671f\u6587\u672c\u751f\u6210\u4e0e\u6d41\u4f20\u7684\u89d2\u5ea6\u53cd\u601d\u201c\u300a\u6c49\u5fd7\u300b\u4e3b\u4e49\u201d\u5bf9\u6587\u672c\u5f00\u653e\u6027\u7684\u5c01\u95ed\uff0c\u4ee5\u53ca\u5bf9\u5468\u79e6\u601d\u60f3\u3001\u5b66\u672f\u4e0e\u6587\u5b66\u7684\u5efa\u6784\u4e0e\u906e\u853d\uff0c\u53ef\u8c13\u662f\u5bf9\u5b66\u754c\u4e00\u5411\u8ba4\u5b9a\u7684\u300a\u6c49\u5fd7\u300b\u201c\u8003\u955c\u6e90\u6d41\u201d\u7684\u53cd\u601d\u3002<sup>[2]<\/sup><\/p>\n\n\n\n<p>\u8bba\u8ff0\u300a\u4e03\u7565\u300b\u6216\u300a\u6c49\u5fd7\u300b\u7684\u601d\u60f3\u53f2\u5efa\u6784\uff0c\u5176\u524d\u63d0\u662f\u5bf9\u5218\u5411\u7236\u5b50\u65e2\u6709\u6587\u732e\u5206\u7c7b\u7684\u8ba4\u5b9a;\u800c\u53cd\u601d\u5176\u5b66\u672f\u6027\u8d28\u4e0e\u4ef7\u503c\uff0c\u5219\u5f88\u5927\u7a0b\u5ea6\u4e0a\u6765\u81ea\u5bf9\u5218\u5411\u7236\u5b50\u5206\u7c7b\u7684\u6279\u5224\u6027\u8003\u5bdf\u3002\u65e0\u8bba\u652f\u6301\u4e0e\u5426\uff0c\u90fd\u6d89\u53ca\u957f\u671f\u4ee5\u6765\u56f4\u7ed5\u300a\u6c49\u5fd7\u300b\u5f62\u6210\u7684\u53e6\u4e00\u7126\u70b9\u2014\u2014\u5206\u7c7b\u6807\u51c6\u95ee\u9898\u3002\u7ae0\u5b66\u8bda\u5c31\u6709\u5bf9\u201c\u56db\u90e8\u4e4b\u4e0d\u80fd\u8fd4\u300a\u4e03\u7565\u300b\u8005\u201d<sup>[3]<\/sup>\u539f\u56e0\u7684\u603b\u7ed3\uff0c\u4eca\u4eba\u4ea6\u6709\u5bf9\u53f2\u7c4d\u4f55\u4ee5\u672a\u80fd\u72ec\u6210\u90e8\u7c7b<sup>[4]<\/sup>\u3001\u8bd7\u8d4b\u7565\u5206\u7c7b\u662f\u5426\u6df7\u6742<sup>[5]<\/sup>\u7b49\u95ee\u9898\u7684\u8fdb\u4e00\u6b65\u9610\u91ca\u3002\u4e0d\u8fc7\uff0c\u4eca\u4eba\u5bf9\u5468\u79e6\u65f6\u4ee3\u6587\u672c\u7684\u8ba4\u8bc6\uff0c\u5f80\u5f80\u96be\u4ee5\u754c\u5b9a\u6587\u672c\u5206\u7c7b\u7684\u8fb9\u754c\u6027\u4e0e\u6709\u6548\u6027\uff0c\u800c\u6216\u591a\u6216\u5c11\u4f9d\u8d56\u4e8e\u300a\u6c49\u5fd7\u300b\u672c\u8eab\u7684\u63cf\u8ff0\u3002\u8bda\u5982\u5f90\u5efa\u59d4\u6240\u8bf4\uff0c\u300a\u6c49\u5fd7\u300b\u201c\u51e0\u4e4e\u6210\u4e86\u6211\u4eec\u63cf\u8ff0\u5468\u79e6\u6c49\u5b66\u672f\u3001\u601d\u60f3\u4e0e\u6587\u5b66\u7684\u2018\u57fa\u7840\u7ed3\u6784\u2019\u201d\uff0c\u4ece\u800c\u4f7f\u89c2\u5bdf\u8005\u201c\u65e0\u610f\u8bc6\u201d\u5730\u4ee5\u300a\u6c49\u5fd7\u300b\u201c\u5206\u7c7b\u4e4b\u65e2\u5b9a\u4e8b\u5b9e\uff0c\u53bb\u9006\u63a8\u5176\u5206\u7c7b\u6807\u51c6\u201d\uff0c<sup>[6]<\/sup>\u56e0\u800c\u5f80\u5f80\u9677\u5165\u300a\u6c49\u5fd7\u300b\u65e2\u6709\u7684\u6846\u67b6\u800c\u4e0d\u81ea\u77e5\u3002\u5f90\u5efa\u59d4\u7531\u6b64\u63ed\u793a\u51fa\u5468\u79e6\u6c49\u5b66\u672f\u7814\u7a76\u4e2d\u7684\u201c\u300a\u6c49\u5fd7\u300b\u4e3b\u4e49\u201d\uff0c\u5e76\u8bd5\u56fe\u901a\u8fc7\u9650\u5236\u6750\u6599\u7684\u9002\u7528\u5ea6\uff0c\u6bd4\u5982\u5212\u5206\u51fa\u66f4\u4e3a\u7ec6\u81f4\u7684\u4e66\u3001\u7bc7\u3001\u7ae0\u7b49\u4e0d\u540c\u5c42\u6b21\u52a0\u4ee5\u8003\u5bdf\uff0c\u4ece\u800c\u5b9e\u73b0\u5bf9\u201c\u300a\u6c49\u5fd7\u300b\u4e3b\u4e49\u201d\u7684\u8d85\u8d8a\u3002<\/p>\n\n\n\n<p>\u95ee\u9898\u5728\u4e8e\uff0c\u5f53\u6211\u4eec\u628a\u4e00\u90e8\u6587\u732e\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class=\"has-text-color has-medium-font-size\" style=\"color:#0071a1\"><strong>\u4e00\u3001\u300a\u6c49\u5fd7\u300b\u6587\u672c\u5206\u7c7b\u7684\u53ef\u80fd\u6027<\/strong><\/p>\n\n\n\n<p>\u8ba1\u7b97\u8bed\u8a00\u5b66\u901a\u8fc7\u8ba1\u7b97\u6587\u672c\u7684\u76f8\u4f3c\u6027\u5b9e\u73b0\u5bf9\u6587\u672c\u8bed\u4e49\u4fe1\u606f\u7684\u7406\u89e3\u4e0e\u52a0\u5de5\u3002\u57fa\u4e8eHarris\u7684\u8bcd\u4e49\u5206\u5e03\u5047\u8bf4<sup>[7]<\/sup>\u2014\u2014\u4e0a\u4e0b\u6587\u76f8\u4f3c\u7684\u8bcd\uff0c\u5176\u610f\u4e49\u4e5f\u76f8\u8fd1\uff0c\u4eba\u4eec\u5efa\u7acb\u4e86\u8bcd\u5411\u91cf\u6a21\u578b\u3002\u5728\u8fdb\u4e00\u6b65\u6539\u8fdb\u7b97\u6cd5\u57fa\u7840\u4e0a\uff0cMikolov\u7b49\u63d0\u51fa\u4e86\u795e\u7ecf\u8bcd\u5411\u91cf(Neural Word Embeddings)\u6a21\u578b\uff0c<sup>[8]<\/sup>\u5728\u5927\u89c4\u6a21\u8bed\u6599\u5e93\u4e2d\uff0c\u4f9d\u6b21\u9009\u53d6\u4e2d\u5fc3\u8bcd\u53ca\u5176\u4e0a\u4e0b\u6587\u7684\u4e34\u8fd1\u8bcd\uff0c\u901a\u8fc7\u795e\u7ecf\u7f51\u7edc\u6784\u5efa\u4e2d\u5fc3\u8bcd\u4e0e\u4e0a\u4e0b\u6587\u5173\u7cfb\u7684\u76f8\u4e92\u9884\u6d4b\u6a21\u578b\uff0c\u4ece\u800c\u66f4\u6709\u6548\u5730\u63d0\u5347\u6587\u672c\u7279\u5f81\u8868\u793a\u7684\u6548\u679c\u3002\u800c\u901a\u8fc7\u8bcd\u5411\u91cf\u6a21\u578b\u7684\u8bed\u4e49\u8868\u5f81\u53ca\u8bed\u4e49\u8ba1\u7b97\uff0c\u4e5f\u5c31\u5b9e\u73b0\u4e86\u8bf8\u5982\u6587\u672c\u5206\u7c7b\u3001\u6587\u672c\u805a\u7c7b\u3001\u56de\u5f52\u9884\u6d4b\u7b49\u8bed\u4e49\u7406\u89e3\u4efb\u52a1\u3002<\/p>\n\n\n\n<p>\u8003\u8651\u5230\u53e4\u6c49\u8bed\u548c\u73b0\u4ee3\u6c49\u8bed\u7684\u8bed\u4e49\u548c\u8bed\u6cd5\u6709\u663e\u8457\u7684\u533a\u522b\uff0c\u672c\u7814\u7a76\u4f7f\u7528\u4e86Shen Li\u7b49\u4eba\u57fa\u4e8e\u300a\u56db\u5e93\u5168\u4e66\u300b\u8bad\u7ec3\u7684\u53e4\u6c49\u8bed\u795e\u7ecf\u8bcd\u5411\u91cf\u6a21\u578b<sup>[9]<\/sup>\u3002\u9996\u5148\u5bf9\u6bcf\u7bc7\u6587\u672c\u4e2d\u7684\u5b57\u67e5\u627e\u5176\u5728\u5411\u91cf\u6a21\u578b\u4e2d\u7684300\u7ef4\u5411\u91cf\u8868\u793a\uff0c\u7136\u540e\u5bf9\u6bcf\u7bc7\u6587\u672c\u5404\u4e2a\u5b57\u5411\u91cf\u53d6\u5e73\u5747\u5f97\u5230\u6587\u672c\u7684300\u7ef4\u5411\u91cf\u8868\u793a\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u7ed9\u5b9a\u957f\u5ea6\u4e3an\u7684\u6587\u672cd=(w1,w2,&#8230;,wi,&#8230;,wn-1,wn)\uff0c\u5176\u4e2dwi\u662f\u7ec4\u6210\u6587\u672c\u7684\u5b57\u3002\u5728\u9884\u8bad\u7ec3\u7684\u5b57\u5411\u91cf\u4e2d\u67e5\u627e\u5230\u6bcf\u4e2awi\u5bf9\u5e94\u7684\u5411\u91cfei(\u7ef4\u5ea6\u662f300)\uff0c\u5219\u6587\u672cd\u7684\u5411\u91cf\u8868\u793a<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/8sMHLojeGW4ibRmKm8vibXgFoc9W3qCHs3d7g0P6wKqFMQjMWlfGDkqCx7bL7uP0MvPDV7Q2MtxFI5KMS9SNWrZQ\/640?wx_fmt=png\" height=\"37\" width=\"74\">\u3002\u4e4b\u540e\u4f7f\u7528\u65e0\u76d1\u7763\u7684\u81ea\u52a8\u805a\u7c7b\u6a21\u578b\uff0c\u5bf9\u76f8\u5173\u6587\u672c\u8fdb\u884c\u805a\u7c7b\u3002\u805a\u7c7b\u6a21\u578b\u7684\u57fa\u672c\u601d\u8def\u662f\u521d\u59cb\u5316K\u4e2a\u4e2d\u5fc3\u6837\u672c\uff0c\u5176\u4f59\u6587\u672c\u56f4\u7ed5\u4e0e\u5176\u6700\u8fd1\u7684\u4e2d\u5fc3\u6837\u672c\u5f62\u6210K\u4e2a\u6587\u672c\u7c07\uff0c\u7ecf\u8fc7\u53cd\u590d\u8fed\u4ee3\u8c03\u6574\u4e2d\u5fc3\u6837\u672c\u7684\u4f4d\u7f6e\uff0c\u6700\u7ec8\u5f62\u6210\u76f8\u5bf9\u7a33\u5b9a\u7684\u6587\u672c\u7c07\uff0c\u5b8c\u6210\u5bf9\u6587\u672c\u7684\u81ea\u52a8\u805a\u7c7b\u3002\u7531\u4e8e\u4e0d\u540c\u805a\u7c7b\u6a21\u578b\u5728\u521d\u59cb\u5316\u65b9\u5f0f\u4e0e\u539f\u7406\u4e0a\u4e0d\u5c3d\u76f8\u540c\uff0c\u4e00\u822c\u805a\u7c7b\u7684\u7ed3\u679c\u4e5f\u4e0d\u4e00\u6837\uff0c\u672c\u7814\u7a76\u91c7\u7528K-means++<sup>[10]<\/sup>\u3001Gaussian Mixture Model<sup>[11]<\/sup>\u548cSpectral Clustering<sup>[12]<\/sup>\u4e09\u79cd\u805a\u7c7b\u6a21\u578b\uff0c\u5bf9\u6587\u672c\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c\u8fdb\u884c\u7efc\u5408\u5224\u65ad\uff0c\u4f9d\u6b21\u53d6K=2\u81f3K=8\uff0c\u5c06\u4e0a\u8ff078\u79cd\u6587\u732e\u81ea\u52a8\u805a\u4e3a2\u81f38\u7c7b\uff0c\u89c2\u5bdf\u57fa\u4e8e\u6587\u672c\u76f8\u4f3c\u6027\u800c\u5f62\u6210\u7684\u6587\u672c\u5206\u7c7b\u7ed3\u679c\u3002\u5176\u4e2d\uff0c\u4e3a\u4e86\u964d\u4f4e\u805a\u7c7b\u7684\u968f\u673a\u6027\uff0c\u672c\u6587\u9009\u7528\u7684\u662fK-means<sup>[13]<\/sup>\u7684\u6539\u8fdb\u7b97\u6cd5K-means++\uff0c\u8f83K-means\u800c\u8a00\uff0c\u5176\u53ef\u4ee5\u6839\u636e\u6570\u636e\u8ba1\u7b97\u51fa\u7a33\u5b9a\u7684\u521d\u59cb\u805a\u7c7b\u4e2d\u5fc3\u70b9\uff0c\u540c\u65f6\u4e3a\u4e86\u5145\u5206\u6536\u655b\uff0c\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u8bbe\u7f6e\u4e3a500\u3002Gaussian Mixture Model\u8bbe\u7f6e\u4e3a\u6bcf\u4e00\u4e2a\u7c7b\u4f7f\u7528\u72ec\u7acb\u7684\u534f\u65b9\u5dee\u77e9\u9635\uff0c\u5176\u4e2d\u7684EM\u8fed\u4ee3\u9608\u503c\u8bbe\u7f6e\u4e3a1e-3\uff0c\u6700\u5927\u8fed\u4ee3100\u6b21\u3002Spectral Clustering\u91c7\u7528\u4e86\u548c\u805a\u7c7b\u6570\u91cf\u76f8\u7b49\u7684\u672c\u5f81\u503c\u5411\u91cf\u4e2a\u6570\uff0c\u5e76\u7528RBF\u6838\u6784\u5efa\u76f8\u4f3c\u5ea6\u77e9\u9635(affinity matrix)\u3002\u6b64\u5916\uff0c\u4e3a\u4e86\u907f\u514d\u5355\u6b21\u5b9e\u9a8c\u5e26\u6765\u7684\u5076\u7136\u6027\uff0c\u6240\u6709\u805a\u7c7b\u5b9e\u9a8c\u5747\u8fdb\u884c\u4e8620\u6b21\uff0c\u9009\u62e9\u5176\u4e2d\u6536\u655b\u7a0b\u5ea6\u6700\u9ad8\u7684\u4e00\u7ec4\u4f5c\u4e3a\u6700\u7ec8\u7ed3\u679c\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u88681 K-means++\u4e8c\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-1024x324.png\" alt=\"\" class=\"wp-image-15021\" width=\"754\" height=\"239\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-1024x324.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-300x95.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-768x243.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-1536x485.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_1-1-2048x647.png 2048w\" sizes=\"auto, (max-width: 754px) 100vw, 754px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88682 Gaussian Mixture Model\u4e8c\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-1024x300.png\" alt=\"\" class=\"wp-image-15022\" width=\"760\" height=\"223\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-1024x300.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-300x88.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-768x225.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-1536x450.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_2-2048x600.png 2048w\" sizes=\"auto, (max-width: 760px) 100vw, 760px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88683 Spectral Clustering\u4e8c\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-1024x333.png\" alt=\"\" class=\"wp-image-15023\" width=\"780\" height=\"254\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-1024x333.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-300x98.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-768x250.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-1536x500.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_3-2048x666.png 2048w\" sizes=\"auto, (max-width: 780px) 100vw, 780px\" \/><\/figure><\/div>\n\n\n\n<p>\u4ec5\u5206\u4e24\u7c7b\u65f6(\u88681\u3001\u88682\u3001\u88683)\uff0c\u4e09\u79cd\u6a21\u578b\u7684\u805a\u7c7b\u7ed3\u679c\u90fd\u663e\u73b0\u51fa\u5b66\u672f\u6027\u4e0e\u6587\u5b66\u6027\u7684\u5dee\u5f02\uff0c\u8f9e\u8d4b\u7c7b\u6587\u732e\u5f80\u5f80\u5355\u72ec\u805a\u4e3a\u4e00\u7c7b\u3002\u5176\u4e2dK-means++\u6a21\u578b\u7684\u7ed3\u679c\u76f8\u5bf9\u66f4\u597d\uff0c\u800cGaussian Mixture Model\u6df7\u5165\u4e86\u975e\u8f9e\u8d4b\u7c7b\u7684\u300a\u5c14\u96c5\u300b\u300a\u5c71\u6d77\u7ecf\u300b\uff0cSpectral Clustering \u5219\u628a\u90e8\u5206\u8f9e\u8d4b\u6df7\u5165\u4e86\u5b66\u672f\u7c7b\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u88684 K-means++\u4e09\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-1024x347.png\" alt=\"\" class=\"wp-image-15024\" width=\"780\" height=\"264\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-1024x347.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-300x102.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-768x260.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-1536x521.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_4-2048x694.png 2048w\" sizes=\"auto, (max-width: 780px) 100vw, 780px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88685 Gaussian Mixture Model\u4e09\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-1024x331.png\" alt=\"\" class=\"wp-image-15025\" width=\"796\" height=\"257\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-1024x331.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-300x97.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-768x248.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-1536x496.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_5-2048x662.png 2048w\" sizes=\"auto, (max-width: 796px) 100vw, 796px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88686 Spectral Clustering\u4e09\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-1024x372.png\" alt=\"\" class=\"wp-image-15026\" width=\"804\" height=\"292\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-1024x372.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-300x109.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-768x279.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-1536x558.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_6-2048x745.png 2048w\" sizes=\"auto, (max-width: 804px) 100vw, 804px\" \/><\/figure><\/div>\n\n\n\n<p>\u5728\u4e09\u5206\u6cd5\u7684\u7ed3\u679c\u4e2d(\u88684\u3001\u88685\u3001\u88686)\uff0c\u4e09\u79cd\u6a21\u578b\u6790\u51fa\u7684\u7c7b\u76ee2\u90fd\u6bd4\u8f83\u6df7 \u4e71\uff0c\u51fa\u73b0\u4e86\u7ecf\u5b66\u6587\u672c(\u5982\u300a\u6613\u4f20\u300b\u7b49)\u3001\u53f2\u4e66(\u300a\u53f2\u8bb0\u300b\u7b49)\u3001\u5b57\u4e66(\u300a\u5c14\u96c5\u300b \u7b49)\u3001\u65b9\u672f\u4e66(\u300a\u9ec4\u5e1d\u5185\u7ecf\u300b\u7b49)\u4e0e\u8f9e\u8d4b(\u300a\u5b54\u81e7\u8d4b\u7b49\u300b)\u6df7\u6742\u7684\u73b0\u8c61\u3002\u76f8\u5bf9\u800c\u8a00\uff0cGaussian Mixture Model\u6df7\u5165\u7684\u8f9e\u8d4b\u8f83\u5c11\uff0c\u53ea\u6709\u300a\u5b54\u81e7\u8d4b\u300b\u4e00\u79cd\uff0c\u4f46\u5176\u4ed6\u6587\u732e\u6df7 \u6742\u7684\u73b0\u8c61\u4ecd\u7136\u8f83\u4e3a\u660e\u663e\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u88687 K-means++\u56db\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-1024x416.png\" alt=\"\" class=\"wp-image-15027\" width=\"813\" height=\"331\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-1024x416.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-300x122.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-768x312.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-1536x624.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_7-2048x831.png 2048w\" sizes=\"auto, (max-width: 813px) 100vw, 813px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88688 Gaussian Mixture Model\u56db\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-1024x423.png\" alt=\"\" class=\"wp-image-15028\" width=\"831\" height=\"343\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-1024x423.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-300x124.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-768x318.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-1536x635.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_8-2048x847.png 2048w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u88689 Spectral Clustering\u56db\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-1024x453.png\" alt=\"\" class=\"wp-image-15029\" width=\"839\" height=\"371\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-1024x453.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-300x133.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-768x340.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-1536x680.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_9-2048x907.png 2048w\" sizes=\"auto, (max-width: 839px) 100vw, 839px\" \/><\/figure><\/div>\n\n\n\n<p>\u5c06\u6587\u672c\u7c07\u589e\u52a0\u5230\u56db\u4e2a\u65f6(\u88687\u3001\u88688\u3001\u88689)\uff0cK-means++\u548cSpectral Clustering \u90fd\u660e\u663e\u628a\u300a\u6625\u79cb\u300b\u4e09\u4f20\u3001\u300a\u53f2\u8bb0\u300b\u7b49\u53f2\u7c4d\u7c7b\u6790\u51fa\u4e3a\u65b0\u7684\u7c7b\u76ee 3\u3002<sup>[14]<\/sup>\u800c\u5728\u53f2\u7c4d\u7c7b\u6790\u51fa \u540e\uff0c\u539f\u672c\u7ecf\u53f2\u6df7\u6742\u7684\u7c7b\u76ee 2 \u5c31\u5448\u73b0\u51fa\u4ee5\u300a\u5c14\u96c5\u300b\u300a\u5c0f\u5c14\u96c5\u300b\u7b49\u5c0f\u5b66\u4e66\u7c4d\u4e0e\u300a\u53f8\u9a6c\u76f8 \u5982\u8d4b\u300b\u300a\u626c\u96c4\u8d4b\u300b\u7b49\u6c49\u5927\u8d4b\u5e76\u5217\u7684\u683c\u5c40\u3002\u6c49\u5927\u8d4b\u56e0\u4e3a\u559c\u597d\u6392\u6bd4\u540d\u7269\uff0c\u5c24\u5176\u662f\u6392\u6bd4 \u76f8\u540c\u504f\u65c1\u7684\u6c49\u5b57\uff0c\u5176\u6587\u672c\u7279\u5f81\u76f8\u8f83\u4e8e\u300a\u695a\u8f9e\u300b\u300a\u5b8b\u7389\u8d4b\u300b\u7b49\u6587\u5b66\u6027\u66f4\u5f3a\u7684\u9a9a\u8d4b\u800c \u8a00\uff0c\u53cd\u800c\u66f4\u63a5\u8fd1\u4e8e\u5c0f\u5b66\u7c7b\u7684\u5b57\u4e66\uff0c\u805a\u7c7b\u7ed3\u679c\u7b26\u5408\u6b64\u7c7b\u6587\u732e\u7684\u6587\u672c\u7279\u5f81\u3002\u800c\u7c7b\u76ee 1 \u7684\u5b66\u672f\u7c7b\u6587\u732e\uff0c\u5728\u56db\u5206\u6cd5\u65f6\u4e5f\u66f4\u96c6\u4e2d\u4e8e\u8bf8\u5b50\u4e00\u7c7b\u3002Gaussian Mixture Model\u7684\u5206 \u7c7b\u6548\u679c\u4ecd\u4e0d\u7406\u60f3\uff0c\u53f2\u7c4d\u7684\u7c7b\u76ee\u4e2d\u4f9d\u7136\u6df7\u6709\u300a\u793c\u8bb0\u300b\u300a\u8bba\u8bed\u300b\u300a\u5b5f\u5b50\u300b\u300a\u6bdb\u8bd7\u6545\u8bad\u4f20\u300b\u300a\u5b5d\u7ecf\u300b\u7b49\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u886810 K-means++\u4e94\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-1024x492.png\" alt=\"\" class=\"wp-image-15030\" width=\"851\" height=\"409\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-1024x492.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-300x144.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-768x369.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-1536x738.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_10-2048x984.png 2048w\" sizes=\"auto, (max-width: 851px) 100vw, 851px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u886811 Gaussian Mixture Model\u4e94\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-1024x421.png\" alt=\"\" class=\"wp-image-15031\" width=\"847\" height=\"348\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-1024x421.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-300x123.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-768x316.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-1536x632.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_11-2048x843.png 2048w\" sizes=\"auto, (max-width: 847px) 100vw, 847px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u886812 Spectral Clustering\u4e94\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-1024x456.png\" alt=\"\" class=\"wp-image-15032\" width=\"852\" height=\"380\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-1024x456.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-300x133.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-768x342.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-1536x683.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_12-2048x911.png 2048w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure><\/div>\n\n\n\n<p>\u7c7b\u4f3cSpectral Clustering\u51fa\u73b0\u300a\u6dee\u5357\u5c0f\u5c71\u8d4b\u300b\u5355\u72ec\u805a\u7c7b\u7684\u73b0\u8c61\uff0cK-means++\u7684K\u503c\u53d65\u65f6\uff0c\u4e5f\u53ea\u628a\u300a\u6c49\u9ad8\u7956\u8bd7\u300b\u6790\u51fa\uff0c\u56e0\u6b64\u4e94\u5206\u6cd5\u65f6K-means++\u548cSpectral Clustering \u7684K\u503c\u9700\u8981\u53d6\u52306(\u886810\u3001\u886811\u3001\u886812)\u3002\u4e24\u79cd\u6a21\u578b\u90fd\u5728\u56db\u5206\u6cd5\u65f6\u5f62\u6210\u76f8\u5bf9\u7a33\u5b9a\u7684\u7ed3\u679c\uff0c\u4e14\u5927\u4f53\u4e00\u81f4\uff0c\u6709\u7406\u7531\u76f8\u4fe1\u5bf9\u4e8e\u65e9\u671f\u6587\u732e\u6765\u8bf4\uff0c\u56db\u5206\u6cd5\u786e\u662f\u4e00\u79cd\u8f83\u4e3a\u7a33\u5b9a\u7684\u5206\u7c7b\u65b9\u5f0f\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u8a00\u8bf4\u7279\u5f81\u65b9\u9762\u5177\u6709\u5185\u5728\u7684\u5408\u7406\u6027\u3002\u800c\u5728\u4e94\u5206\u6cd5\u4e0b\uff0cK-means++\u5c06\u300a\u5468\u6613\u300b\u4ece\u8bf8\u5b50\u6587\u732e\u4e2d\u8c03\u6574\u5230\u7ecf\u4e66\u7c7b\uff0c\u4f7f\u5f97\u8bf8\u5b50\u7c7b\u6587\u732e\u7684\u7acb\u8a00\u6210\u8bf4\u6027\u8d28\u66f4\u52a0\u660e\u663e\u3002\u540c\u65f6\uff0c\u300a\u53f8\u9a6c\u76f8\u5982\u8d4b\u300b\u300a\u626c\u96c4\u8d4b\u300b\u7b49\u4ece\u7ecf\u4e66\u7c7b\u4e2d\u5206\u51fa\uff0c\u6210\u4e3a\u65b0\u7684\u90e8\u7c7b(\u300a\u8bd7\u7ecf\u300b\u4e5f\u88ab\u8c03\u6574\u5230\u8fd9\u4e00\u6587\u5b66\u6027\u66f4\u7a81\u51fa\u7684\u90e8\u7c7b)\uff0c\u7ecf\u4e66\u7c7b\u6587\u732e\u4fbf\u96c6\u4e2d\u4e8e\u7ecf\u4f20\u8bad\u8bc2\u4e0e\u5c0f\u5b66\u65b9\u9762\u3002Spectral Clustering\u7684\u8c03\u6574\u662f\u628a\u300a\u5c14\u96c5\u300b\u7b49\u5c0f\u5b66\u6587\u732e\u6790\u51fa\u4e3a\u4e00\u7c7b\uff0c\u8fd9\u79cd\u805a\u7c7b\u660e\u663e\u662f\u4ee5\u5185\u5bb9\u4e3a\u4f9d\u636e\u7684\u7ed3\u679c\u3002\u7c7b\u4f3c\u5730\uff0cGaussian Mixture Model\u7684\u4e94\u5206\u6cd5\u4e2d\u51fa\u73b0\u4e86\u7c7b\u76ee2\u8fd9\u6279\u8f83\u4e3a\u96c6\u4e2d\u5730\u4f53\u73b0\u5112\u5bb6\u6587\u5316\u89c2\u5ff5\u7684\u6587\u732e\uff0c\u6bd4\u5982\u300a\u5de6\u4f20\u300b\u867d\u7cfb\u53f2\u7c4d\uff0c\u4f46\u5176\u4e2d\u6709\u5f88\u591a\u201c\u541b\u5b50\u66f0\u201d\u7684\u4f53\u73b0\u5fb7\u6027\u7684\u5185\u5bb9\u3002\u53ef\u89c1\uff0cGaussian Mixture Model\u548cSpectral Clustering\u90fd\u5f00\u59cb\u51fa\u73b0\u57fa\u4e8e\u6587\u672c\u5185\u5bb9\u800c\u975e\u8a00\u8bf4\u65b9\u5f0f\u7684\u805a\u7c7b\u7ed3\u679c\uff0c\u5f53\u7136\u8fd9\u4e5f\u9020\u6210\u4e86\u4ece\u8a00\u8bf4\u65b9\u5f0f\u4e0a\u770b\uff0c\u7ecf\u3001\u53f2\u3001\u5b50\u518d\u5ea6\u6742\u7cc5\u7684\u73b0\u8c61\u3002<\/p>\n\n\n\n<p>\u516d\u5206\u6cd5\u6846\u67b6\u4e0b\uff0c\u4e09\u79cd\u6a21\u578b\u90fd\u628a\u300a\u5c14\u96c5\u300b\u7b49\u56db\u79cd\u5c0f\u5b66\u6587\u732e\u72ec\u7acb\u4e3a\u4e00\u7c7b(\u886813\u3001\u886814\u3001\u886815)\u3002\u800c\u7c7b\u76ee2\u7684\u7ecf\u4e66\u7c7b\u5728\u5206\u51fa\u4e86\u5c0f\u5b66\u6587\u732e\u540e\uff0c\u4e09\u79cd\u6a21\u578b\u7684\u805a\u7c7b\u7ed3\u679c\u90fd\u6216\u591a\u6216\u5c11\u51fa\u73b0\u4e86\u4e0e\u53f2\u7c4d\u3001\u65b9\u6280\u4e66\u7c4d\u76f8\u6df7\u7684\u73b0\u8c61\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u65e2Gaussian Mixture Model\u4e4b\u540e\uff0cK-means++\u548cSpectral Clustering\u4e5f\u51fa\u73b0\u4e86\u7c7b\u76ee3\u8fd9\u6837\u96c6\u4e2d\u53cd\u6620\u5112\u5bb6\u91cd\u5fb7\u89c2\u5ff5\u7684\u6587\u732e\u805a\u7c7b\uff0c\u4e09\u79cd\u805a\u7c7b\u6a21\u578b\u7684\u7ed3\u679c\u518d\u6b21\u8d8b\u540c\u3002(Spectral Clustering\u7a0d\u900a\u4e00\u7b79\uff0c\u5176\u4e2d\u6df7\u5165\u4e86\u300a\u5e84\u5b50\u300b\u7b49\u9053\u5bb6\u5178\u7c4d\u3002)\u800c\u4e09\u79cd\u6a21\u578b\u4e2d\uff0c\u6c49\u5927\u8d4b\u4e0e\u9a9a\u8d4b\u7684\u805a\u7c7b\u7ed3\u679c\u5728\u6574\u4f53\u4e0a\u4e5f\u6ca1\u6709\u592a\u5927\u53d8\u5316\u3002\u7efc\u62ec\u8a00\u4e4b\uff0c\u5728\u805a\u7c7b\u65b9\u5f0f\u4e0a\u5f62\u6210\u4e86\u5112\u5bb6\u6587\u732e\u3001\u5c0f\u5b66\u6587\u732e\u3001\u6c49\u5927\u8d4b\u3001\u9a9a\u8d4b\u7684\u6587\u672c\u533a\u5206\uff0c\u663e\u793a\u51fa\u4ee5\u6587\u672c\u5185\u5bb9\u4f5c\u4e3a\u805a\u7c7b\u4f9d\u636e\u7684\u53ef\u80fd\u6027\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u886813 K-means++\u516d\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-1024x537.png\" alt=\"\" class=\"wp-image-15033\" width=\"873\" height=\"458\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-1024x537.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-300x157.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-768x403.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-1536x806.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_13-2048x1074.png 2048w\" sizes=\"auto, (max-width: 873px) 100vw, 873px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u886814 Gaussian Mixture Model\u516d\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-1024x443.png\" alt=\"\" class=\"wp-image-15034\" width=\"883\" height=\"382\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-1024x443.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-300x130.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-768x332.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-1536x664.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_14-2048x885.png 2048w\" sizes=\"auto, (max-width: 883px) 100vw, 883px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center\">\u886815 Spectral Clustering\u516d\u5206\u6cd5\u7684\u81ea\u52a8\u805a\u7c7b\u7ed3\u679c<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-1024x475.png\" alt=\"\" class=\"wp-image-15035\" width=\"869\" height=\"403\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-1024x475.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-300x139.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-768x356.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-1536x712.png 1536w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2022\/02\/Tu_15-2048x949.png 2048w\" sizes=\"auto, (max-width: 869px) 100vw, 869px\" \/><\/figure><\/div>\n\n\n\n<p>\u8fdb\u4e00\u6b65\u589e\u52a0\u805a\u7c7b\u9879\u65f6\uff0cK-means++\u4e5f\u5c06\u300a\u6dee\u5357\u5c0f\u5c71\u8d4b\u300b\u72ec\u7acb\u6210\u7c7b\uff0cGaussian Mixture Model\u5219\u628a\u300a\u9ec4\u5e1d\u5185\u7ecf\u300b\u548c\u300a\u96be\u7ecf\u300b\u4e24\u79cd\u65b9\u6280\u7c7b\u6587\u732e\u6790\u51fa\u4e3a\u4e00\u7c7b\u3002\u6574\u4f53\u805a\u7c7b\u6846\u67b6\u6ca1\u6709\u5927\u7684\u53d8\u5316\uff0c\u800c\u5176\u4ed6\u7ecf\u4e66\u6587\u732e\u6742\u7cc5\u7684\u73b0\u8c61\u5219\u66f4\u8d8b\u660e\u663e\u3002\u81f3\u6b64\uff0c\u5b9e\u9a8c\u53ef\u4ee5\u7ec8\u6b62\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size\" 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style=\"color:#0071a1\"><strong>\u4e09\u3001\u76ee\u5f55\u4f55\u4ee5\u201c\u4e3b\u4e49\u201d?<\/strong><\/p>\n\n\n\n<p>\u6587\u672c\u5206\u7c7b\u57fa\u4e8e\u8a00\u8bf4\u4e0e\u5185\u5bb9\u6216\u8005\u5e76\u884c\u7684\u4e0d\u540c\u7684\u6587\u672c\u7279\u5f81\u7ef4\u5ea6\uff0c\u5728\u5b9e\u9a8c\u4e2d\uff0c\u5b83\u901a\u8fc7\u5206\u7c7b\u6570\u91cf\u7684\u6539\u53d8\u800c\u5206\u522b\u5448\u73b0\u51fa\u6765\u3002\u6362\u8a00\u4e4b\uff0c\u6587\u732e\u5206\u7c7b\u7684\u65b9\u6cd5\u5f80\u5f80\u4e0e\u5206\u7c7b\u9879\u7684\u591a\u5be1\u76f4\u63a5\u76f8\u5173\u3002\u800c\u4e00\u79cd\u5206\u7c7b\u65e2\u7136\u53ea\u80fd\u4f9d\u636e\u6587\u672c\u7684\u67d0\u4e00\u7279\u5f81\u7ef4\u5ea6\uff0c\u90a3\u5176\u4ed6\u6587\u672c\u7279\u5f81\u53c8\u5982\u4f55\u5448\u73b0\u5462?<\/p>\n\n\n\n<p>\u6e05\u4ee3\u7ae0\u5b66\u8bda\u63d0\u51fa\u4e86\u201c\u4e92\u8457\u201d\u201c\u522b\u88c1\u201d\u4e4b\u8bf4\u3002\u4ed6\u636e\u300a\u6c49\u5fd7\u300b\u73ed\u56fa\u81ea\u6ce8\uff0c\u6307\u51fa\u5175\u4e66\u6743\u8c0b\u5bb6\u6240\u5f55\u300a\u8340\u537f\u5b50\u300b\u300a\u9646\u8d3e\u300b\u4e8c\u79cd\u3001\u300a\u4f0a\u5c39\u300b\u300a\u592a\u516c\u300b\u300a\u7ba1\u5b50\u300b\u300a\u9e56\u51a0\u5b50\u300b\u56db\u79cd\u3001\u300a\u82cf\u5b50\u300b\u300a\u84af\u901a\u300b\u4e8c\u79cd\u4ee5\u53ca\u300a\u6dee\u5357\u738b\u300b\u4e00\u79cd\uff0c\u5206\u522b\u4e92\u8457\u4e8e\u8bf8\u5b50\u7684\u5112\u5bb6\u3001\u9053\u5bb6\u3001\u7eb5\u6a2a\u5bb6\u3001\u6742\u5bb6\uff0c\u300a\u58a8\u5b50\u300b\u5e76\u884c\u4e8e\u5175\u4e66\u6280\u5de7\u5bb6\u4e0e\u58a8\u5bb6\u3002\u4ed6\u53c8\u63d0\u9053:\u201c\u7ecf\u90e8\u300a\u6613\u300b\u5bb6\u4e0e\u5b50\u90e8\u4e4b\u4e94\u884c\u9634\u9633\u5bb6\u76f8\u51fa\u5165\uff0c\u4e50\u5bb6\u4e0e\u96c6\u90e8\u4e4b\u4e50\u5e9c\u3001\u5b50\u90e8\u4e4b\u827a\u672f\u76f8\u51fa\u5165\uff0c\u5c0f\u5b66\u5bb6\u4e4b\u4e66\u6cd5\u4e0e\u91d1\u77f3\u4e4b\u6cd5\u5e16\u76f8\u51fa\u5165\uff0c\u53f2\u90e8\u4e4b\u804c\u5b98\u4e0e\u6545\u4e8b\u76f8\u51fa\u5165\uff0c\u8c31\u7252\u4e0e\u4f20\u8bb0\u76f8\u51fa\u5165\uff0c\u6545\u4e8b\u4e0e\u96c6\u90e8\u4e4b\u8bcf\u8bf0\u594f\u8bae\u76f8\u51fa\u5165\uff0c\u96c6\u90e8\u4e4b\u8bcd\u66f2\u4e0e\u53f2\u90e8\u4e4b\u5c0f\u8bf4\u76f8\u51fa\u5165\uff0c\u5b50\u90e8\u4e4b\u5112\u5bb6\u4e0e\u7ecf\u90e8\u4e4b\u7ecf\u89e3\u76f8\u51fa\u5165\uff0c\u53f2\u90e8\u4e4b\u98df\u8d27\u4e0e\u5b50\u90e8\u4e4b\u519c\u5bb6\u76f8\u51fa\u5165\u3002\u201d(\u300a\u6821\u96e0\u901a\u4e49\u00b7\u4e92\u8457\u300b)<sup>[20]<\/sup>\u8fd9\u662f\u56e0\u4e3a\u4e0a\u53e4\u201c\u8a00\u516c\u201d\u7684\u6587\u5316\u8bed\u5883\u4e0b\uff0c\u6587\u732e\u201c\u53e3\u8033\u76f8\u4f20\u201d\uff0c\u5e76\u65e0\u79c1\u5bb6\u8f6c\u8ff0\uff0c\u8457\u8ff0\u4ee5\u201c\u7bc7\u201d\u4e3a\u5355\u4f4d\u800c\u65e0\u7bc7\u540d\uff0c\u591a\u7f00\u8f91\u3001\u8865\u5145\u3001\u8ffd\u8bb0\u4e4b\u6587\uff0c\u53c8\u5e38\u89c1\u79f0\u5f15\u4ed6\u4eba\u4e4b\u8bf4\uff0c<sup>[21]<\/sup>\u6240\u4ee5\u5fc5\u987b\u4f7f\u7528\u522b\u88c1\u3001\u4e92\u8457\u4e4b\u4f53\uff0c\u6240\u8c13\u201c\u53e4\u4eba\u8457\u4e66\uff0c\u6216\u79bb\u6216\u5408\uff0c\u6821\u96e0\u7f16\u6b21\uff0c\u672c\u65e0\u4e00\u5b9a\u4e4b\u89c4\u4e5f\u201d\u3002\u6b63\u56e0\u4e3a\u5982\u6b64\uff0c\u7ae0\u5b66\u8bda\u751a\u81f3\u60f3\u5230\u4ee5\u7bc7\u4e3a\u5355\u4f4d\u91cd\u7f16\u53e4\u4e66\uff0c\u201c\u300a\u6708\u4ee4\u300b\u4e4b\u4e8e\u300a\u5415\u6c0f\u6625\u79cb\u300b\uff0c\u300a\u4e09\u5e74\u95ee\u300b\u300a\u4e50\u8bb0\u300b\u300a\u7ecf\u89e3\u300b\u4e4b\u4e8e\u300a\u8340\u5b50\u300b\uff0c\u5c24\u5176\u663e\u7109\u8005\u4e5f\u201d(\u300a\u6821\u96e0\u901a\u4e49\u00b7\u7126\u7ad1\u8bef\u6821\u6c49\u5fd7\u300b)\u3002<sup>[22]<\/sup><\/p>\n\n\n\n<p>\u7ae0\u6c0f\u4ee5\u7bc7\u4e3a\u5355\u4f4d\u89e3\u6784\u3001\u91cd\u6784\u7ecf\u5178\u6587\u732e\u7684\u505a\u6cd5\uff0c\u5728\u6e05\u4eba\u770b\u6765\u201c\u7686\u6781\u8c2c\u5984\u201d\u3002<sup>[23]<\/sup>\u800c\u4eca\u4eba\u610f\u8bc6\u5230\u65e9\u671f\u6587\u672c\u5177\u6709\u5f88\u5f3a\u7684\u6d41\u52a8\u6027\u3001\u5f00\u653e\u6027\uff0c\u5219\u89c6\u5176\u8bf4\u4e3a\u6d1e\u89c1\u3002\u7ae0\u5b66\u8bda\u5f53\u7136\u662f\u5728\u80af\u5b9a\u5218\u5411\u3001\u5218\u6b46\u7236\u5b50\u201c\u90e8\u6b21\u6d41\u522b\uff0c\u7533\u660e\u5927\u9053\uff0c\u53d9\u5217\u4e5d\u6d41\u767e\u6c0f\u4e4b\u5b66\uff0c\u4f7f\u4e4b\u7ef3\u8d2f\u73e0\u8054\uff0c\u65e0\u5c11\u7f3a\u9038\u201d(\u300a\u6821\u96e0\u901a\u4e49\u00b7\u4e92\u8457\u300b)<sup>[24]<\/sup>\u7684\u610f\u4e49\u4e0a\u6709\u6240\u53d1\u660e\uff0c\u4f46\u53cd\u8fc7\u6765\u4e5f\u8bf4\u660e\u4e86\u300a\u4e03\u7565\u300b\u7684\u5206\u7c7b\u7edd\u975e\u94c1\u677f\u4e00\u5757\u3002\u56e0\u4e3a\u6709\u4e92\u8457\u3001\u522b\u88c1\uff0c\u6240\u4ee5\u6587\u732e\u7684\u5206\u7c7b\u81ea\u4e0d\u53ef\u80fd\u8d2f\u4ee5\u4e00\u5f8b\uff0c\u5728\u8fd9\u4e2a\u610f\u4e49\u4e0a\uff0c\u201c\u300a\u6c49\u5fd7\u300b\u4e3b\u4e49\u201d\u81ea\u7136\u5c31\u4f53\u73b0\u51fa\u5bf9\u65e9\u671f\u6587\u732e\u7684\u906e\u853d\u3002\u90a3\u4e48\uff0c\u5f53\u6211\u4eec\u7531\u300a\u6c49\u5fd7\u300b\u73b0\u5b58\u7684\u6587\u672c\u53bb\u9006\u63a8\u5218\u5411\u3001\u5218\u6b46\u7236\u5b50\u5728\u6574\u7406\u4e66\u76ee\u65f6\u5d4c\u5165\u201c\u8003\u955c\u6e90\u6d41\u201d\u7684\u601d\u7ef4\uff0c\u6700\u7ec8\u5efa\u6784\u201c\u5b66\u672f\u51fa\u4e8e\u738b\u5b98\u201d\u7684\u601d\u60f3\u4e4b\u524d\uff0c\u6216\u8bb8\u5e94\u8be5\u9996\u5148\u8ffd\u95ee\uff0c\u5218\u5411\u3001\u5218\u6b46\u7236\u5b50\u5728\u7f16\u6392\u6587\u732e\u65f6\uff0c\u5230\u5e95\u6709\u591a\u5c11\u9009\u62e9\u7684\u4f59\u5730?\u53c8\u6709\u591a\u5c11\u5f52\u7c7b\u7684\u53ef\u80fd?<\/p>\n\n\n\n<p>\u8003\u5bdf\u300a\u4e03\u7565\u300b\u7684\u6210\u4e66\uff0c\u65f6\u95f4\u95ee\u9898\u975e\u5e38\u5173\u952e\u3002\u636e\u300a\u6c49\u4e66\u00b7\u6210\u5e1d\u7eaa\u300b\u6240\u8f7d\uff0c\u5218\u5411\u59cb\u6821\u4e2d\u79d8\u4e66\u7684\u65f6\u95f4\u662f\u6cb3\u5e73\u4e09\u5e74(\u516c\u5143\u524d26)\uff0c\u81f3\u7ee5\u548c\u5143\u5e74(\u524d8)\u5218\u5411\u53bb\u4e16\uff0c\u5176\u95f4\u5171\u7ecf\u5386\u4e86\u4e0d\u5230\u4e8c\u5341\u5e74\u65f6\u95f4\u3002\u300a\u6c49\u4e66\u00b7\u695a\u5143\u738b\u4f20\u300b\u53c8\u8f7d:\u201c\u5411\u6b7b\u540e\uff0c\u6b46\u590d\u4e3a\u4e2d\u5792\u6821\u5c09\u3002\u54c0\u5e1d\u521d\u5373\u4f4d\uff0c\u5927\u53f8\u9a6c\u738b\u83bd\u4e3e\u6b46\u5b97\u5ba4\u6709\u6750\u884c\uff0c\u4e3a\u4f8d\u4e2d\u592a\u4e2d\u5927\u592b\uff0c\u8fc1\u9a91\u90fd\u5c09\u3001\u5949\u8f66\u5149\u7984\u5927\u592b\uff0c\u8d35\u5e78\u3002\u590d\u9886\u300a\u4e94\u7ecf\u300b\uff0c\u5352\u7236\u524d\u4e1a\u3002\u6b46\u4e43\u96c6\u516d\u827a\u7fa4\u4e66\uff0c\u79cd\u522b\u4e3a\u300a\u4e03\u7565\u300b\u3002\u201d<sup>[25]<\/sup>\u53ef\u77e5\uff0c\u5218\u6b46\u7ee7\u627f\u7236\u4e1a\u662f\u5728\u54c0\u5e1d\u5373\u4f4d\u7684\u7ee5\u548c\u4e8c\u5e74(\u524d7)\u3002\u81f3\u4e8e\u5218\u6b46\u4e0a\u594f\u300a\u4e03\u7565\u300b\u7684\u65f6\u95f4\uff0c\u5305\u62ec\u94b1\u7a46\u3001\u5218\u6c5d\u9716\u3001\u9646\u4f83\u5982\u7b49\u4eba\u90fd\u8ba4\u4e3a\u5c31\u5728\u7ee5\u548c\u4e8c\u5e74\u3002\u949f\u8087\u9e4f\u7684\u7ed3\u8bba\u7a0d\u665a\uff0c\u4ed6\u6839\u636e\u300a\u5c71\u6d77\u7ecf\u4e66\u5f55\u300b\u6807\u6ce8\u7684\u201c\u5efa\u5e73\u5143\u5e74\u56db\u6708\u4e19\u620c\u201d\u800c\u63a8\u8bba\u300a\u4e03\u7565\u300b\u7f16\u6210\u5f53\u7565\u665a\u4e8e\u6b64\uff0c<sup>[26]<\/sup>\u5982\u6b64\u5219\u300a\u4e03\u7565\u300b\u7684\u4e0a\u594f\u5e94\u662f\u5728\u5efa\u5e73\u5143\u5e74(\u524d6)\u7a0d\u540e\u3002\u800c\u4ece\u300a\u6c49\u4e66\u300b\u7684\u63cf\u8ff0\u770b\uff0c\u5218\u6b46\u201c\u590d\u9886\u300a\u4e94\u7ecf\u300b\u201d\u4e4b\u524d\u8fd8\u6709\u4e00\u6bb5\u6539\u5b98\u5386\u7a0b\uff0c\u56e0\u800c\u5434\u6c82\u6f90\u63a8\u6d4b:\u201c\u5218\u5411\u5352\u540e\u81f3\u5218\u6b46\u590d\u9886\u300a\u4e94\u7ecf\u300b\u671f\u95f4\uff0c\u603b\u9886\u6821\u4e66\u8005\u6682\u65f6\u865a\u60ac\uff0c\u6216\u53ef\u8fdb\u4e00\u6b65\u63a8\u6d4b\u5218\u5411\u4e13\u8d23\u7684\u516d\u827a\u3001\u8bf8\u5b50\u4e0e\u8bd7\u8d4b\u7565\u4e4b\u6821\u4e66\u6d3b\u52a8\u4e5f\u53ef\u80fd\u56e0\u6b64\u77ed\u6682\u4e2d\u65ad\u3002\u201d<sup>[27]<\/sup>\u8fd9\u79cd\u7ed3\u8bba\u662f\u6709\u53ef\u80fd\u7684\u3002\u4e14\u300a\u522b\u5f55\u300b\u5f53\u53ea\u662f\u5218\u5411\u53d9\u5f55\u7684\u6c47\u5408\uff0c\u800c\u6ca1\u6709\u603b\u7406\u7fa4\u4e66\u4e4b\u5206\u7c7b\u76ee\u5f55\u3002<sup>[28]<\/sup>\u8fd9\u6837\u7b97\u6765\uff0c\u7559\u7ed9\u5218\u6b46\u5b8c\u6210\u300a\u4e03\u7565\u300b\u7684\u65f6\u95f4\u53ef\u80fd\u53ea\u6709\u4e00\u5e74\uff0c\u76f8\u6bd4\u4e8e\u5176\u7236\u5218\u541118\u5e74\u7684\u6821\u4e66\u5386\u7a0b\u6765\u8bf4\uff0c\u5b9e\u5728\u975e\u5e38\u6025\u8feb\u3002<\/p>\n\n\n\n<p>\u77ed\u65f6\u95f4\u5185\u8fc5\u901f\u6210\u4e66\u4e0a\u594f\uff0c\u5218\u6b46\u53ea\u597d\u5ef6\u7eed\u5218\u5411\u7684\u5de5\u4f5c\u65b9\u6cd5\u3002\u636e\u300a\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u300b:\u201c\u8bcf\u5149\u7984\u5927\u592b\u5218\u5411\u6821\u7ecf\u4f20\u8bf8\u5b50\u8bd7\u8d4b\uff0c\u6b65\u5175\u6821\u5c09\u4efb\u5b8f\u6821\u5175\u4e66\uff0c\u592a\u53f2\u4ee4\u5c39\u54b8\u6821\u6570\u672f\uff0c\u4f8d\u533b\u674e\u67f1\u56fd\u6821\u65b9\u6280\u3002\u201d<sup>[29]<\/sup>\u5404\u7565\u4e3b\u7e82\u7686\u4e3a\u5b98\u5b88\u5176\u4e66\u7684\u4e13\u804c\u62c5\u4efb\u3002\u8fd9\u79cd\u5de5\u4f5c\u65b9\u5f0f\u6709\u5236\u5ea6\u4e0a\u7684\u4fbf\u5229\uff0c\u4e5f\u6709\u5b66\u672f\u4e0a\u7684\u4f18\u52bf\u3002\u5218\u6b46\u5728\u77ed\u65f6\u95f4\u5185\u6574\u7406\u300a\u522b\u5f55\u300b\u800c\u6210\u300a\u4e03\u7565\u300b\uff0c\u81ea\u7136\u4e5f\u65e0\u6687\u53d8\u66f4\u6587\u732e\u6574\u7406\u7684\u64cd\u4f5c\u65b9\u5f0f\u3002\u800c\u4ee5\u5b98\u5b88\u4e3a\u6807\u51c6\u7684\u6821\u4e66\u6d3b\u52a8\uff0c\u5176\u672c\u8d28\u4e0a\u6b63\u662f\u57fa\u4e8e\u6587\u672c\u5185\u5bb9\u7684\u5206\u7c7b\u65b9\u5f0f\uff0c\u56e0\u800c\u4ee5\u6587\u672c\u5185\u5bb9\u800c\u4e0d\u662f\u4ee5\u8a00\u8bf4\u65b9\u5f0f\u6765\u8fdb\u884c\u6587\u732e\u5206\u7c7b\uff0c\u672c\u5c31\u662f\u5218\u6b46\u4e0d\u5f97\u4e0d\u7136\u7684\u4f18\u52bf\u9009\u9879\u3002<\/p>\n\n\n\n<p>\u95ee\u9898\u5728\u4e8e\uff0c\u4f55\u4ee5\u672c\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898\uff0c\u751a\u81f3\u660e\u5bdf\u5982\u7ae0\u5b66\u8bda\u90fd\u8ba4\u4e3a\u201c\u56db\u90e8\u4e4b\u4e0e\u300a\u4e03\u7565\u300b\uff0c\u4ea6\u52bf\u4e4b\u4e0d\u5bb9\u4e0d\u4e24\u7acb\u8005\u4e5f\u201d(\u300a\u6821\u96e0\u901a\u4e49\u00b7\u5b97\u5218\u300b)\u3002<sup>[38]<\/sup><\/p>\n\n\n\n<p>\u5176\u5b9e\u5728\u6587\u672c\u5206\u7c7b\u65f6\uff0c\u672c\u6765\u5b58\u5728\u591a\u79cd\u53ef\u80fd\uff0c\u6b63\u5982\u6587\u672c\u81ea\u52a8\u805a\u7c7b\u5b9e\u9a8c\u6240\u5448\u73b0\u51fa\u6765\u7684\uff0c\u5206\u7c7b\u7684\u6570\u76ee\u5f80\u5f80\u4e0e\u5206\u7c7b\u65b9\u6cd5\u76f4\u63a5\u76f8\u5173\u3002\u5f53\u7c7b\u76ee\u8f83\u5c11\uff0c\u8a00\u8bf4\u65b9\u5f0f\u7684\u7ef4\u5ea6\u66f4\u9c9c\u660e\u65f6\uff0c\u56db\u90e8\u7684\u754c\u9650\u4f1a\u6d6e\u73b0\u51fa\u6765\uff0c\u800c\u5f53\u7c7b\u76ee\u6e10\u591a\uff0c\u6587\u672c\u5185\u5bb9\u7684\u7ef4\u5ea6\u66f4\u6709\u4f18\u52bf\u65f6\uff0c\u56db\u90e8\u7684\u754c\u9650\u5c31\u6bd4\u8f83\u6a21\u7cca\u3002\u56db\u90e8\u5206\u7c7b\u6cd5\u679c\u7136\u4e0d\u53ef\u80fd\u8fd4\u56de\u300a\u4e03\u7565\u300b\u5f0f\u7684\u6587\u672c\u5185\u5bb9\u5206\u7c7b\u5417?\u4ece\u5185\u5bb9\u5206\u7c7b\u5230\u8a00\u8bf4\u65b9\u5f0f\u7684\u5206\u7c7b\uff0c\u679c\u7136\u5c31\u662f\u7ebf\u6027\u4e0d\u53ef\u9006\u7684\u5417?\u7b54\u6848\u5f53\u7136\u662f\u5426\u5b9a\u7684\u3002\u5728\u300a\u56db\u5e93\u5168\u4e66\u603b\u76ee\u300b\u5c06\u56db\u90e8\u5206\u7c7b\u6cd5\u8fd0\u7528\u5f97\u767b\u5cf0\u9020\u6781\u4e4b\u540e\uff0c\u6c11\u56fd\u65f6\u671f\u6240\u91c7\u7528\u7684\u7f8e\u56fd\u5b66\u8005Dewey\u7684\u201c\u5341\u8fdb\u5206\u7c7b\u6cd5\u201d\u4ee5\u53ca\u5f53\u4ee3\u6240\u4f7f\u7528\u300a\u4e2d\u56fd\u56fe\u4e66\u9986\u56fe\u4e66\u5206\u7c7b\u6cd5\u300b\u5c31\u518d\u6b21\u56de\u5230\u4e86\u57fa\u4e8e\u6587\u672c\u5185\u5bb9\u7684\u6587\u732e\u5206\u7c7b\u65b9\u5f0f\uff0c\u5219\u201c\u56db\u90e8\u4e4b\u4e0d\u80fd\u8fd4\u300a\u4e03\u7565\u300b\u201d\u5f53\u7136\u4e5f\u5c31\u672a\u5fc5\u90a3\u4e48\u8a00\u4e4b\u51ff\u51ff\u4e86\u3002<\/p>\n\n\n\n<p>\u6216\u8bb8\u6211\u4eec\u5e94\u8be5\u66f4\u6e05\u6670\u5730\u610f\u8bc6\u5230\uff0c\u5728\u4e2d\u56fd\u5b66\u672f\u6587\u5316\u4f20\u7edf\u4e2d\uff0c\u5b66\u672f\u4f53\u7cfb\u7684\u6784\u5efa\u3001\u5b66\u8005\u77e5\u8bc6\u7ed3\u6784\u7684\u5f62\u6210\uff0c\u65e0\u4e0d\u4e0e\u76ee\u5f55\u5206\u7c7b\u7684\u201c\u683c\u5f0f\u5316\u201d\u5bc6\u5207\u5173\u8054\u7740\uff0c\u201c\u56fe\u4e66\u5206\u7c7b\u5728\u73b0\u8c61\u5c42\u9762\u662f\u4e00\u79cd\u6587\u5316\u77e5\u8bc6\u4f53\u7cfb\u7684\u6784\u5efa\u65b9\u5f0f\uff0c\u5728\u672c\u8d28\u5c42\u9762\u5219\u662f\u4e00\u79cd\u5b66\u672f\u4f53\u7cfb\u7684\u6784\u5efa\u65b9\u5f0f\u201d\u3002<sup>[39]<\/sup>\u800c\u4e00\u65e6\u4eba\u4eec\u5904\u4e8e\u7531\u76ee\u5f55\u5206\u7c7b\u6240\u6784\u5efa\u7684\u77e5\u8bc6\u4e16\u754c\u4e0e\u5b66\u672f\u4f53\u7cfb\u4e4b\u4e2d\u65f6\uff0c\u5f80\u5f80\u5c31\u4f1a\u5728\u601d\u8003\u5206\u7c7b\u95ee\u9898\uff0c\u6216\u8005\u5728\u8003\u8651\u6587\u732e\u4e4b\u76f8\u4e92\u5173\u7cfb\u3001\u5b66\u672f\u4e4b\u6e90\u6d41\u6f14\u8fdb\u65f6\uff0c\u503e\u5411\u4e8e\u5bf9\u76ee\u5f55\u5206\u7c7b\u7684\u9006\u63a8\u3002\u5982\u6b64\uff0c\u5219\u4e0d\u4ec5\u300a\u6c49\u5fd7\u300b\u5df2\u6210\u4e3a\u201c\u4e3b\u4e49\u201d\uff0c\u800c\u4f5c\u4e3a\u201c\u7ec8\u6781\u5206\u7c7b\u6cd5\u201d<sup>[40]<\/sup>\u7684\u56db\u90e8\u5206\u7c7b\u6cd5\uff0c\u4ea6\u6709\u53ef\u80fd\u6210\u4e3a\u67d0\u79cd\u201c\u4e3b\u4e49\u201d\u4e86\u3002\u610f\u8bc6\u5230\u201c\u76ee\u5f55\u4e3b\u4e49\u201d\u6f5c\u79fb\u9ed8\u5316\u7684\u5f71\u54cd\uff0c\u8fdb\u800c\u601d\u8003\u8d85\u8d8a\u4e4b\u9014\u5f84\uff0c\u4ea6\u6216\u662f\u4eca\u4eba\u7814\u7a76\u4e2d\u9700\u8981\u6709\u6240\u8003\u91cf\u7684\u3002<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#0071a1\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong><span style=\"color:#0071a1\" class=\"has-inline-color\">Re-examination of the Catalogue Classification of<em>&nbsp;Hanshu Yiwenzhi<\/em><\/span><\/strong><\/p>\n\n\n\n<p><strong>&nbsp;<\/strong>Zhu Yuchen, Li Shen<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>&nbsp;In order to investigate the multiple possibilities of literature classification in&nbsp;Hanshu Yiwenzhi, this paper uses the K-means++, Gaussian Mixture Model and Spectral Clustering model to automatically cluster the surviving documents in&nbsp;Hanshu Yiwenzhi. The clustering results show that the clustering from four to six classifications is stable and effective. There are two kinds of classification methods based on the principle of expression and content, which provide more possibilities to beyond&nbsp;Hanzhi. Under the framework of four-part classification, later generations examined the six division of&nbsp;Hanzhi&nbsp;and put forward such propositions as \u201cwhy the historical department is not established\u201d, which also shows the subtle influence of the four-part classification in the construction of knowledge system. In ancient culture, bibliography has gone beyond simple&nbsp;classification catalogue and become a thinking mode with potential influence.<\/p>\n\n\n\n<p><strong>Keywords:<\/strong>&nbsp;Hanshu Yiwenzhi;&nbsp;QiLue; Classification; Automatically Cluster<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#0071a1\"> &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211; <\/p>\n\n\n\n<p class=\"has-text-align-right\">&nbsp;\u7f16&nbsp;\u8f91&nbsp; |&nbsp; \u738b\u6ce2<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>*\u672c\u6587\u7cfb\u56fd\u5bb6\u793e\u79d1\u57fa\u91d1\u91cd\u5927\u9879\u76ee\u201c\u57fa\u4e8e\u5927\u6570\u636e\u6280\u672f\u7684\u53e4\u4ee3\u6587\u5b66\u7ecf\u5178\u6587\u672c\u5206\u6790\u4e0e\u7814\u7a76\u201d(18ZDA238)\u9636\u6bb5\u6027\u6210\u679c\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong><span style=\"color:#0071a1\" class=\"has-inline-color\">\u6ce8\u91ca\uff1a<\/span><\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size\">[1]\u7ae0\u5b66\u8bda\u8457\uff0c\u53f6\u745b\u6821\u6ce8:\u300a\u6587\u53f2\u901a\u4e49\u6821\u6ce8\u300b\uff0c\u5317\u4eac:\u4e2d\u534e\u4e66\u5c40\uff0c2014\u5e74\uff0c\u7b2c1101\u9875\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[2]\u53c2\u89c1\u9093\u9a8f\u6377:\u300a\u201c\u8bf8\u5b50\u51fa\u4e8e\u738b\u5b98\u201d\u8bf4\u4e0e\u6c49\u5bb6\u5b66\u672f\u8bdd\u8bed\u300b\uff0c\u300a\u4e2d\u56fd\u793e\u4f1a\u79d1\u5b66\u300b2017\u5e74\u7b2c9\u671f;\u6bb5\u607a\u3001\u7ae5\u5e86\u70b3:\u300a\u8bba\u3008\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u3009\u7684\u5112\u5b66\u8bdd\u8bed\u5efa\u6784\u300b\uff0c\u300a\u5c71\u897f\u5927\u5b66\u5b66\u62a5\u300b(\u54f2\u5b66\u793e\u4f1a\u79d1\u5b66\u7248)2014\u5e74\u7b2c2\u671f;\u6768\u65b0\u5bbe:\u300a\u76ee\u5f55\u5b66\u4e0e\u5b66\u672f\u53f2\u4e4b\u95f4\u2014\u2014\u3008\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u3009\u4ef7\u503c\u7684\u518d\u601d\u8003\u300b\uff0c\u300a\u7406\u8bba\u6708\u520a\u300b2012\u5e74\u7b2c6\u671f;\u5f90\u5efa\u59d4:\u300a\u5468\u79e6\u6c49\u6587\u5b66\u7814\u7a76\u4e2d\u7684\u3008\u6c49\u5fd7\u3009\u4e3b\u4e49\u53ca\u5176\u8d85\u8d8a\u300b\uff0c\u300a\u6587\u5b66\u9057\u4ea7\u300b2017\u5e74\u7b2c2\u671f\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[3]\u7ae0\u5b66\u8bda\u8457\uff0c\u53f6\u745b\u6821\u6ce8:\u300a\u6587\u53f2\u901a\u4e49\u6821\u6ce8\u300b\uff0c\u7b2c1114\u9875\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[4]\u5f20\u6d9b:\u300a\u3008\u4e03\u7565\u3009\u4e2d\u53f2\u7c4d\u672a\u80fd\u72ec\u7acb\u6210\u90e8\u7c7b\u7684\u6839\u672c\u539f\u56e0\u300b\uff0c\u300a\u6587\u53f2\u54f2\u300b1992\u5e74\u7b2c6\u671f\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[5]\u9648\u521a:\u300a\u3008\u6c49\u4e66\u00b7\u827a\u6587\u5fd7\u00b7\u8bd7\u8d4b\u7565\u3009\u8d4b\u4e4b\u5206\u7c7b\u7814\u7a76\u8ff0\u7565\u300b\uff0c\u300a\u6587\u732e\u300b2011\u5e74\u7b2c2\u671f\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[6]\u5f90\u5efa\u59d4:\u300a\u5468\u79e6\u6c49\u6587\u5b66\u7814\u7a76\u4e2d\u7684\u3008\u6c49\u5fd7\u3009\u4e3b\u4e49\u53ca\u5176\u8d85\u8d8a\u300b\uff0c\u300a\u6587\u5b66\u9057\u4ea7\u300b2017\u5e74\u7b2c2\u671f\u3002<\/p>\n\n\n\n<p class=\"has-small-font-size\">[7]Zellig Harris, \u201cDistributional Structure,\u201d in&nbsp;Word, vol. 10, 1954, pp. 146-162.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[8]Tomas Mikolov et al., \u201cDistributed Representations of Words and Phrases and their Compositionality,\u201d Proceedings of NIPS, Lake Tahoe, USA: Neural Information Processing Systems Foundation, 2013, pp. 3111-3119.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[9]Shen Li et al.\u201c, Analogical Reasoning on Chinese Morphological and Semantic Relations,\u201d Proceedings of ACL, Melbourne, Australia: Association for Computational Linguistics, 2018, pp. 138-143.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[10]David Arthur, Sergei Vassilvitskii, \u201ck-means++: The Advantages of Careful Seeding,\u201d in Proceedings of the Eighteenth Annual ACM-SIAM Symposium on Discrete Algorithms, Philadelphia, PA, USA: Society for Industrial and Applied Mathematics, 2007, pp. 1027-1035.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[11]Douglas Reynolds\u201c, Gaussian Mixture Models,\u201d&nbsp;Encyclopedia of Biometrics, vol. 741, 2009, pp. 659-663.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[12]Stella X. Yu, Jianbo Shi, \u201cMulticlass Spectral Clustering,\u201d Proceedings Ninth IEEE International Conference on Computer Vision, Nice, France, 2003, pp. 313-319.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[13]James MacQueen\u201c, Some Methods for Classification and Analysis of Multivariate Observations,\u201d Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, 1967, pp. 281-297.<\/p>\n\n\n\n<p class=\"has-small-font-size\">[14]\u7531\u4e8eK\u53d64\u62165\u65f6\uff0cSpectral Clustering\u4f1a\u628a\u300a\u6dee\u5357\u5c0f\u5c71\u8d4b\u300b\u5355\u72ec\u805a\u4e3a\u4e00\u7c7b\uff0c\u6587\u672c\u91cf\u8fc7\u5c0f\uff0c\u5f88\u96be\u8bf4\u5f62\u6210\u7684\u7c7b\u6709\u4f55\u610f\u4e49\uff0c\u56e0\u6b64\u5bf9\u56db\u5206\u6cd5\u7684\u8003\u5bdf\u9700\u8981K\u503c\u53d65\u3002<\/p>\n\n\n\n<p 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