{"id":90859,"date":"2021-10-18T10:51:06","date_gmt":"2021-10-18T02:51:06","guid":{"rendered":"http:\/\/www.zhushiyao.com\/?p=90859"},"modified":"2021-10-18T10:51:45","modified_gmt":"2021-10-18T02:51:45","slug":"08438df39b","status":"publish","type":"post","link":"http:\/\/www.zhushiyao.com\/?p=90859","title":{"rendered":"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f"},"content":{"rendered":"
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<\/section>\n

\u524d\u8a00<\/span><\/h2>\n

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\"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"<\/figure>\n

\u5982\u679c\u4f60\u6293\u5305\u4f1a\u53d1\u73b0\u5fae\u4fe1\u8fd4\u56de\u4e86\u5982\u4e0b\u9519\u8bef<\/p>\n

\"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"<\/figure>\n

\u5982\u679c\u4f60\u60f3\u6539\u51e0\u4e2a\u5b57\u8499\u6df7\u8fc7\u5173\uff0c\u5bf9\u4e0d\u8d77\uff0c\u4e0d\u884c\uff01\u4f9d\u7136\u4f1a\u62a5\u4e0a\u8ff0\u9519\u8bef\uff0c\u8fd9\u5f97\u76ca\u4e8e\u5fae\u4fe1\u539f\u521b\u68c0\u6d4b\u673a\u5236\u6240\u91c7\u7528\u7684 simhash \u6280\u672f\uff0c\u5b83\u662f Google \u4e3a\u4e86\u89e3\u51b3\u5927\u89c4\u6a21\u7684\u7f51\u9875\u53bb\u91cd\u800c\u53d1\u660e\u7684\u7b97\u6cd5\uff0c\u5e7f\u6cdb\u7528\u5728\u5927\u89c4\u6a21\u7684\u6587\u7ae0\uff0c\u8bc4\u8bba\u5224\u91cd\u7b49\u5730\u65b9\uff0c\u6548\u7387\u6781\u9ad8\uff0c\u90a3\u4e48\u8fd9\u9879\u6280\u672f\u662f\u5982\u4f55\u5b9e\u73b0\u7684\u5462\uff0c\u901a\u8fc7\u4e0a\u9762\u7684\u9519\u8bef\u4fe1\u606f\u4e0d\u96be\u53d1\u73b0\u5fae\u4fe1\u662f\u4e3a\u6bcf\u7bc7\u6587\u7ae0\u751f\u6210\u4e86\u4e00\u4e2a\u6307\u7eb9\uff08fingerprint\uff09\uff0c\u6700\u7ec8\u6587\u7ae0\u76f8\u4f3c\u6027\u7684\u6bd4\u8f83\u5176\u5b9e\u662f\u6307\u7eb9\u7684\u6bd4\u8f83\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6307\u7eb9\u53c8\u662f\u5982\u4f55\u751f\u6210\u7684\u5462\uff0c\u672c\u6587\u5c06\u4f1a\u4e3a\u4f60\u7531\u6d45\u5165\u6df1\u5730\u63ed\u6653 simhash \u7684\u79d8\u5bc6\u3002<\/p>\n

\u672c\u6587\u7684\u76ee\u5f55\u7ed3\u6784\u5982\u4e0b\uff1a<\/p>\n

    \n
  • \n
    \u4f20\u7edf Hash \u4e0e\u5176\u5c40\u9650\u6027<\/section>\n<\/li>\n
  • \n
    \u4f59\u5f26\u5b9a\u7406\u5b9e\u73b0\u53ca\u5176\u5c40\u9650\u6027<\/section>\n<\/li>\n
  • \n
    \u57fa\u4e8e\u968f\u673a\u6295\u5f71\u6765\u5b9e\u73b0\u7a7a\u95f4\u5411\u91cf\u7684\u964d\u7ef4<\/section>\n<\/li>\n
  • \n
    simhash \u539f\u7406\u53ca\u5b9e\u73b0<\/section>\n<\/li>\n<\/ul>\n

    \u4f20\u7edf Hash \u4e0e\u5176\u5c40\u9650\u6027<\/span><\/h2>\n

    \u5982\u4f55\u6bd4\u8f83\u4e24\u7bc7\u6587\u7ae0\u662f\u5426\u76f8\u540c\uff0c\u76f8\u4fe1\u5927\u5bb6\u4e0d\u96be\u60f3\u5230\u4ee5\u4e0b\u6b65\u9aa4<\/p>\n

      \n
    1. \n
      \u901a\u8fc7\u4e00\u4e2a Hash \u51fd\u6570\uff08MD5 \u7b49\uff09\u5c06\u6587\u7ae0\u8f6c\u6210\u5b9a\u957f\u5b57\u7b26\u4e32\uff0c\u6bd4\u5982 32 \u4f4d<\/section>\n<\/li>\n
    2. \n
      \u6bd4\u8f83\u4e0a\u4e00\u6b65\u751f\u6210\u7684\u5b9a\u957f\u5b57\u7b26\u4e32\u662f\u5426\u76f8\u7b49<\/section>\n<\/li>\n<\/ol>\n

      \u7b2c\u4e00\u6b65\u7684\u4e3b\u8981\u4f5c\u7528\u662f\u5c06\u5927\u8303\u56f4\u6620\u5c04\u5230\u5c0f\u8303\u56f4\uff0c\u8fd9\u6837\u4f7f\u7528\u5c0f\u8303\u56f4\u7684\u5b9a\u957f\u5b57\u7b26\u4e32\u300c\u4e00\u822c\u6211\u4eec\u628a\u5b83\u79f0\u4e3a\u6307\u7eb9\uff08fingerprint\uff09\u300d\u5927\u5927\u7f29\u5c0f\u4e86\u7a7a\u95f4\uff0c\u66f4\u5229\u4e8e\u4fdd\u5b58\uff0c\u5e76\u4e14\u66f4\u5229\u4e8e\u6bd4\u8f83\uff0c\u4f46\u5bf9\u4e8e\u8ba1\u7b97\u4e24\u7bc7\u6587\u7ae0\u7684\u76f8\u4f3c\u5ea6\u4f20\u7edf hash \u5c31\u65e0\u80fd\u4e3a\u529b\u4e86\uff0c\u56e0\u4e3a\u5bf9\u4e8e\u4f20\u7edf hash \u6765\u8bf4\uff0c\u5b83\u8981\u6c42\u968f\u673a\u6027\u8db3\u591f\u597d\uff0c\u4e5f\u5c31\u662f\u8bf4\u5bf9\u4e8e\u4e24\u4e2a\u8f93\u5165\u5b57\u7b26\u4e32\uff0c\u54ea\u6015\u53ea\u6709\u4e00\u4e2a\u5b57\u6bcd\u4e0d\u540c\uff0c\u4f7f\u7528\u4f20\u7edf hash \u7684\u8f93\u51fa\u7ed3\u679c\u4e5f\u662f\u5927\u4e0d\u76f8\u540c\u3002<\/p>\n

      \"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"<\/figure>\n

      \u5982\u56fe\u793a\uff0c\u4ee5 SHA1\u4e3a\u4f8b\uff0c\u4e24\u4e2a\u5b57\u7b26\u4e32\u300c\u6211\u662f\u4e2d\u56fd\u4eba\u300d\u4e0e\u300c\u6211\u662f\u4e2d\u56fd\u4eba\u554a\u300d\u53ea\u76f8\u5dee\u4e86\u4e00\u4e2a\u5b57\uff0c\u4f46\u8f93\u51fa\u7684\u7ed3\u679c\u5b8c\u5168\u4e0d\u540c\uff0c\u6839\u672c\u6ca1\u6cd5\u6bd4\u8f83\uff0c\u9000\u4e00\u6b65\u6765\u8bf4\uff0c\u5c31\u7b97\u8981\u6bd4\u8f83\uff0c\u6bcf\u4e2a hash \u7ed3\u679c\u4e5f\u8981\u4e00\u4e2a\u5b57\u7b26\u4e00\u4e2a\u5b57\u7b26\u7684\u6bd4\uff0c\u6027\u80fd\u6781\u5dee\uff01<\/p>\n

      \u6240\u4ee5\u6211\u4eec\u9700\u8981\u627e\u5230\u8fd9\u6837\u7684\u4e00\u4e2a hash \u51fd\u6570\uff0c\u5b83\u9700\u8981\u6ee1\u8db3\u4e24\u4e2a\u6761\u4ef6<\/p>\n

        \n
      1. \n
        \u53ef\u4ee5\u5b9e\u73b0\u5c40\u90e8\u76f8\u4f3c\u6027<\/section>\n<\/li>\n
      2. \n
        \u751f\u6210\u7684 hash \u7ed3\u679c\u5229\u4e8e\u6bd4\u8f83<\/section>\n<\/li>\n<\/ol>\n

        \u5148\u6765\u770b\u7b2c\u4e8c\u70b9\uff0c\u8981\u8ba9 hash \u7ed3\u679c\u5229\u4e8e\u6bd4\u8f83\uff0c\u53ef\u4ee5\u5c06\u7ed3\u679c\u8f6c\u5316\u4e3a\u4ec5\u7531 0\uff0c1\u7ec4\u6210\u7684\u5b9a\u957f\u4e8c\u8fdb\u5236\u6570\u5b57\uff0c\u8fd9\u6837\u53ea\u8981\u5c06\u7ed3\u679c\u8fdb\u884c\u5f02\u6216\u8fd0\u7b97\uff0c\u7b97\u51fa\u7ed3\u679c\u6709\u51e0\u4f4d 1 \u5373\u53ef\uff0csimhash \u5c31\u662f\u8fd9\u4e48\u505a\u7684<\/p>\n

        \"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"<\/figure>\n

        \u5982\u56fe\u793a\uff1a\u5c06\u7ed3\u679c\u8fdb\u884c\u5f02\u6216\u8fd0\u7b97\u540e\u53ea\u6709\u4e24\u4f4d\u4e3a 1\uff0c\u5373\u53ea\u6709\u4e24\u4f4d\u662f\u4e0d\u4e00\u6837\u7684<\/strong><\/p>\n

        \u63a5\u4e0b\u6765\u6211\u4eec\u518d\u6765\u770b\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0csimhash \u5982\u4f55\u8f93\u51fa\u5c40\u90e8\u76f8\u4f3c\u6027\u7684\u7ed3\u679c\uff0c \u5b83\u7684\u8ba1\u7b97\u8fc7\u7a0b\u4e0e\u5229\u7528\u4f59\u5f26\u5b9a\u7406\u6765\u8ba1\u7b97\u6587\u672c\u76f8\u4f3c\u5ea6\u6709\u4e00\u5b9a\u7684\u76f8\u4f3c\u6027\uff0c\u53ef\u4ee5\u8ba4\u4e3a\u662f\u4f59\u5f26\u5b9a\u7406\u7684\u4e00\u4e2a\u6f14\u53d8\uff0c\u6240\u4ee5\u6211\u4eec\u5148\u6765\u770b\u770b\u5982\u4f55\u7528\u4f59\u5f26\u5b9a\u7406\u6765\u8ba1\u7b97\u4e24\u8005\u7684\u76f8\u4f3c\u5ea6<\/p>\n

        \u4f59\u5f26\u5b9a\u7406<\/span><\/h2>\n

        \u7b2c\u4e00\u6b21\u542c\u8bf4\u4f59\u5f26\u5b9a\u7406\u662f\u5728\u5434\u519b\u7684<<\u6570\u5b66\u4e4b\u7f8e>>\u91cc\u770b\u5230\u7684\uff0c\u901a\u8fc7\u4f59\u5f26\u53ef\u4ee5\u5224\u65ad\u4e24\u7bc7\u6587\u7ae0\u662f\u5426\u76f8\u4f3c\uff0c\u6b65\u9aa4\u90fd\u662f\u7c7b\u4f3c\u7684\uff0c\u5c06\u6587\u7ae0\u8f6c\u5316\u4e3a n \u4e2a\u7ef4\u5ea6\u7684\u7a7a\u95f4\u5411\u91cf\uff0c\u518d\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u7a7a\u95f4\u5411\u91cf\u7684\u5728\u7a7a\u95f4\u4e2d\u7684\u5939\u89d2\uff0c\u6211\u4eec\u4ee5\u4e0b\u4e24\u4e2a\u6587\u672c\u4e3a\u4f8b\u6765\u770b\u770b\u5982\u4f55\u5229\u7528\u4f59\u5f26\u5b9a\u7406\u6765\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u6587\u672c\u7684\u76f8\u4f3c\u5ea6\uff08\u672c\u4f8b\u5b50\u6765\u81ea\u962e\u4e00\u5cf0\u535a\u5ba2\uff09<\/p>\n

        \u53e5\u5b50A\uff1a\u6211\u559c\u6b22\u770b\u7535\u89c6\uff0c\u4e0d\u559c\u6b22\u770b\u7535\u5f71\u3002\n\u53e5\u5b50B\uff1a\u6211\u4e0d\u559c\u6b22\u770b\u7535\u89c6\uff0c\u4e5f\u4e0d\u559c\u6b22\u770b\u7535\u5f71\u3002\n<\/code><\/pre>\n
        \u6b65\u9aa4\u4e00\uff1a\u5206\u8bcd<\/p>\n
        \u53e5\u5b50A\uff1a\u6211\/\u559c\u6b22\/\u770b\/\u7535\u89c6\uff0c\u4e0d\/\u559c\u6b22\/\u770b\/\u7535\u5f71\u3002\n\u53e5\u5b50B\uff1a\u6211\/\u4e0d\/\u559c\u6b22\/\u770b\/\u7535\u89c6\uff0c\u4e5f\/\u4e0d\/\u559c\u6b22\/\u770b\/\u7535\u5f71\u3002\n<\/code><\/pre>\n
        \u7b2c\u4e8c\u6b65\uff0c\u5217\u51fa\u6240\u6709\u7684\u5173\u952e\u8bcd\u3002<\/p>\n
        \u6211\uff0c\u559c\u6b22\uff0c\u770b\uff0c\u7535\u89c6\uff0c\u7535\u5f71\uff0c\u4e0d\uff0c\u4e5f\u3002\n<\/code><\/pre>\n
        \n
        \u753b\u5916\u97f3<\/strong>\uff1a\u4f7f\u7528 TF-IDF \u7b97\u6cd5\u6765\u7b97\u51fa\u6240\u6709\u7684\u5173\u952e\u8bcd\uff0c\u50cf \u300c\u7684\u300d,\u300c\u5730\u300d\uff0c\u300c\u5f97\u300d\u8fd9\u79cd\u65e0\u610f\u4e49\u7684\u987f\u8bcd\u9700\u8981\u53bb\u6389<\/p>\n<\/blockquote>\n
        \u7b2c\u4e09\u6b65\uff0c\u8ba1\u7b97\u8bcd\u9891\u3002<\/p>\n
        \u53e5\u5b50A\uff1a\u6211 1\uff0c\u559c\u6b22 2\uff0c\u770b 2\uff0c\u7535\u89c6 1\uff0c\u7535\u5f71 1\uff0c\u4e0d 1\uff0c\u4e5f\u00a00\u3002\n\n\u53e5\u5b50B\uff1a\u6211 1\uff0c\u559c\u6b22 2\uff0c\u770b 2\uff0c\u7535\u89c6 1\uff0c\u7535\u5f71 1\uff0c\u4e0d 2\uff0c\u4e5f 1\u3002\n<\/code><\/pre>\n
        \u7b2c\u56db\u6b65\uff0c\u5199\u51fa\u8bcd\u9891\u5411\u91cf\u3002<\/p>\n
        \u53e5\u5b50A\uff1a[1, 2, 2, 1, 1, 1, 0]\n\n\u53e5\u5b50B\uff1a[1, 2, 2, 1, 1, 2, 1]\n<\/code><\/pre>\n
        \u6ce8\uff1a\u8fd9\u91cc\u4e3a\u4e86\u6f14\u793a\u65b9\u4fbf\u7b80\u5355\u7528\u51fa\u73b0\u7684\u6b21\u6570\u6765\u4f5c\u4e3a\u8bcd\u9891\u5411\u91cf\uff0c\u5b9e\u9645\u4e0a\u751f\u4ea7\u4e0a\u4e00\u822c\u4e0d\u4f1a\u8fd9\u4e48\u5e72\uff0c\u4e00\u822c\u4f1a\u5229\u7528 TF-IDF \u7b97\u6cd5\u6765\u751f\u6210\u8bcd\u9891\u5411\u91cf\uff0c\u672c\u6587\u4e0d\u4f5c\u5c55\u5f00\uff0c\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53ef\u4ee5\u81ea\u884c\u7814\u7a76<\/strong><\/p>\n
        \u4e8e\u662f\u95ee\u9898\u8868\u73b0\u4e3a\u4e86\u5982\u4f55\u5728\u7a7a\u95f4\u4e2d\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u5411\u91cf\u7684\u76f8\u4f3c\u5ea6\u4e86\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u4e24\u4e2a\u5411\u91cf\u8ba4\u4e3a\u662f\u4e24\u6761\u7ebf\u6bb5\uff0c\u4ece\u539f\u70b9[0, 0, xxx]\uff0c\u6307\u5411\u8fd9\u4e24\u70b9\u7684\u7ebf\u6bb5\uff0c\u8fd9\u4e24\u4e2a\u7ebf\u6bb5\u5f62\u6210\u4e86\u4e00\u4e2a\u5939\u89d2\uff0c\u5939\u89d2\u8d8a\u5c0f\uff0c\u8bf4\u660e\u8fd9\u4e24\u4e2a\u5411\u91cf\u8d8a\u76f8\u4f3c<\/strong>\uff0c\u5982\u4f55\u77e5\u9053\u8fd9\u4e24\u4e2a\u5939\u89d2\u7684\u5927\u5c0f\u5462\uff0c\u8ba1\u7b97\u5b83\u4eec\u7684\u4f59\u5f26\u503c\uff08cos\u03b8\uff09\u5373\u53ef\uff0c\u5982\u679c\u503c\u8d8a\u63a5\u8fd1 1\uff0c \u8bf4\u660e \u03b8 \u8d8a\u5c0f\uff0c\u4e24\u4e2a\u5411\u91cf\u5c31\u8d8a\u63a5\u8fd1\uff0c\u6587\u672c\u4e5f\u5c31\u8d8a\u76f8\u4f3c<\/p>\n
        \"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"<\/figure>\n
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        \u70b9\u79ef\u8fd0\u7b97<\/p>\n
        <\/section>\n
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        <\/section>\n
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        <\/section>\n
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        \u90a3\u4e48\u70b9 A \u4ee5\u5411\u91cf<\/p>\n
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        \u5c31\u53ef\u4ee5\u8ba9\u539f\u6765\u4efb\u610f\u4e00\u4e2a\u5728 M \u7ef4\u7a7a\u95f4\u7684\u5411\u91cf M \u901a\u8fc7\u70b9\u79ef M \u00a0\u22c5 R \u5c06\u5176\u964d\u7ef4\u5230 K \u7ef4\uff0cJohnson\u2013Lindenstrauss \u5f15\u7406\u6307\u51fa\uff1a\u5728\u6b27\u5f0f\u7a7a\u95f4\u4e2d\u7684\u82e5\u5e72\u70b9\uff0c\u7ecf\u8fc7\u76f8\u540c\u7684\u6620\u5c04\u540e\u8fdb\u5165\u65b0\u7684\u7a7a\u95f4\uff0c\u5b83\u4eec\u4ecd\u7136\u4f1a\u4fdd\u6301\u539f\u6765\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u4e5f\u5c31\u662f\u8bf4\u539f\u6765\u5411\u91cf\u4e4b\u95f4\u7684\u5939\u89d2\u5728\u5411\u91cf\u964d\u7ef4\u6620\u5c04\u5230\u65b0\u7a7a\u95f4\u540e\u4f9d\u7136\u53ef\u4ee5\u8ba4\u4e3a\u57fa\u672c\u4e0d\u53d8<\/strong>\uff0c\u8fd9\u4e5f\u5c31\u610f\u5473\u7740\u964d\u7ef4\u540e\u4e0d\u4f1a\u5bf9\u6587\u672c\u7684\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u4ea7\u751f\u5f71\u54cd<\/strong>\u3002<\/p>\n
        \u968f\u673a\u6295\u5f71\u964d\u7ef4\u79bb\u6563\u5316—-\u57fa\u4e8e\u968f\u673a\u6295\u5f71\u7684\u5c40\u90e8\u654f\u611f\u54c8\u5e0c<\/span><\/h2>\n
        \u901a\u8fc7\u968f\u673a\u6295\u5f71\u6cd5\uff0c\u786e\u5b9e\u5b9e\u73b0\u4e86\u9ad8\u7ef4\u5ea6\u964d\u5230\u4f4e\u7ef4\u5ea6\u7684\u76ee\u6807\uff0c\u4f46\u964d\u7ef4\u540e\u751f\u6210\u7684\u5411\u91cf\u5750\u6807\u5f88\u53ef\u80fd\u662f float \u578b\u7684\uff0c\u4e0d\u5229\u4e8e\u5b58\u50a8\uff0c\u800c\u4e14\u5728\u8ba1\u7b97\u6bd4\u5982\u4f59\u5f26\u65f6\uff0c\u9700\u8981 float * float \u7684\u8ba1\u7b97\uff0c\u6211\u4eec\u77e5\u9053\u6d6e\u70b9\u578b\u8ba1\u7b97\u662f\u6bd4\u8f83\u8017\u6027\u80fd\u7684\uff0c\u6240\u4ee5\u6709\u4eba\u5c31\u63d0\u51fa\u80fd\u5426\u5bf9\u8fd9\u4e9b float \u7684\u8fde\u7eed\u578b\u5750\u6807\u79bb\u6563\u5316\uff0c\u8fd9\u6837\u5c31\u89e3\u51b3\u4e86\u5b58\u50a8\uff0c\u8ba1\u7b97\u7684\u96be\u70b9\u3002<\/p>\n
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        \u57fa\u4e8e\u968f\u673a\u6295\u5f71\u7684\u5c40\u90e8\u654f\u611f\u54c8\u5e0c\uff0c\u4e5f\u662f\u968f\u673a\u6295\u5f71 hash \u7684\u4e00\u79cd\uff0c\u901a\u8fc7\u4e0a\u8ff0\u6620\u5c04\u89c4\u5219\uff0c\u5c06\u539f\u7a7a\u95f4\u5411\u91cf\u8fdb\u884c\u4e86\u79bb\u6563\u5316\u964d\u7ef4<\/p>\n
        \u968f\u673a\u8d85\u5e73\u9762 hash<\/span><\/h2>\n
        \u77e5\u9053\u4e86\u4ec0\u4e48\u662f\u57fa\u4e8e\u968f\u673a\u6295\u5f71\u7684\u5c40\u90e8\u654f\u611f\u54c8\u5e0c, \u4e5f\u5c31\u4e0d\u96be\u7406\u89e3\u968f\u673a\u8d85\u5e73\u9762 hash \u4e86\uff0c\u5b83\u4e5f\u662f\u968f\u673a\u6295\u5f71 hash \u79bb\u6563\u5316\u7684\u53d8\u79cd\uff0c\u5bf9\u4e8e\u4e00\u4e2a n \u7ef4\u5411\u91cf v\uff0c\u5982\u679c\u8981\u5f97\u5230\u4e00\u4e2a\u7531 0\uff0c1 \u7ec4\u6210\u7684 f \u4f4d\u7b7e\u540d\uff08f \u00a0\u8fdc\u5c0f\u4e8e n\uff09\uff0c\u5b83\u7684\u7b97\u6cd5\u5982\u4e0b\uff1a<\/p>\n
          \n
        1. \n
          \u968f\u673a\u4ea7\u751f f \u4e2a n \u7ef4\u7684\u5411\u91cf r1,\u2026rf\uff1b<\/section>\n<\/li>\n
        2. \n
          \u5bf9\u6bcf\u4e00\u4e2a\u5411\u91cf ri\uff0c\u5982\u679c v \u4e0e ri \u7684\u70b9\u79ef\u5927\u4e8e 0\uff08\u8bf4\u660e\u5728\u6b64\u5411\u91cf\u5212\u5206\u7684\u7a7a\u95f4\u662f\u76f8\u4f3c\u7684\uff09\uff0c\u5219\u6700\u7ec8\u7b7e\u540d\u7684\u7b2c i \u4f4d\u4e3a 1\uff0c\u5426\u5219\u4e3a 0\u3002<\/section>\n<\/li>\n<\/ol>\n
          \u8fd9\u4e2a\u7b97\u6cd5\u76f8\u5f53\u4e8e\u968f\u673a\u4ea7\u751f\u4e86 f \u4e2a n \u7ef4\u8d85\u5e73\u9762\uff0c\u6bcf\u4e2a\u8d85\u5e73\u9762\u5c06\u5411\u91cf v \u6240\u5728\u7684\u7a7a\u95f4\u4e00\u5206\u4e3a\u4e8c\uff0cv \u5728\u8fd9\u4e2a\u8d85\u5e73\u9762\u4e0a\u65b9\u5219\u5f97\u5230\u4e00\u4e2a 1\uff0c\u5426\u5219\u5f97\u5230\u4e00\u4e2a 0\uff0c\u7136\u540e\u5c06\u5f97\u5230\u7684 f \u4e2a 0 \u6216 1 \u7ec4\u5408\u8d77\u6765\u6210\u4e3a\u4e00\u4e2a f \u7ef4\u7684\u7b7e\u540d<\/p>\n
          \"\u5fae\u4fe1\u7684\u539f\u521b\u4fdd\u62a4\u673a\u5236\u5230\u5e95\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff1f\"\u5982\u56fe\u6240\u793a\uff0c\u968f\u673a\u5728\u7a7a\u95f4\u91cc\u5212\u51e0\u4e2a\u8d85\u5e73\u9762\uff0c\u5c31\u53ef\u4ee5\u628a\u6570\u636e\u5206\u5230\u4e0d\u540c\u7a7a\u95f4\u91cc\uff0c\u6bd4\u5982\u4e2d\u95f4\u8fd9\u4e2a\u5c0f\u4e09\u89d2\u7684\u533a\u57df\u5c31\u53ef\u4ee5\u8d4b\u503c\u4e3a110<\/strong><\/p>\n
          \u6bcf\u4e2a\u964d\u7ef4\u540e\u7684 f \u7ef4\u7b7e\u540d\uff0c\u5c31\u662f\u6587\u7ae0\u7684\u6700\u7ec8\u7b7e\u540d\uff01\u901a\u8fc7\u8fd9\u6837\u7684\u89e3\u91ca\u76f8\u4fe1\u5927\u5bb6\u4e0d\u96be\u7406\u89e3\u901a\u8fc7\u5f02\u6216\u6bd4\u8f83\u4f4d\u6570\u7684\u4e0d\u540c\u6765\u5224\u65ad\u6587\u7ae0\u7684\u76f8\u4f3c\u5ea6\u7684\u51e0\u4f55\u610f\u4e49\uff1a\u4f4d\u6570\u4e0d\u540c\uff0c\u4ee3\u8868\u5176\u5728\u76f8\u5e94\u8d85\u5e73\u9762\u4e0a\u4e0d\u76f8\u4f3c<\/p>\n
          simhash \u539f\u7406\u53ca\u5b9e\u73b0<\/span><\/h2>\n
          \u4e3a\u5565\u524d\u9762\u82b1\u8fd9\u4e48\u5927\u529b\u6c14\u4ecb\u7ecd\u5f15\u51fa\u968f\u673a\u8d85\u5e73\u9762 hash \u5462\uff0c\u56e0\u4e3a simhash \u5c31\u662f\u57fa\u4e8e\u8d85\u5e73\u9762 hash \u6f14\u53d8\u800c\u6765\u7684\uff0c\u53ef\u4ee5\u8bf4\u7406\u89e3\u4e86\u8d85\u5e73\u9762 hash \u4e5f\u5c31\u7406\u89e3\u4e86 simhash\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u770b\u770b simhash \u7684\u751f\u6210\u6d41\u7a0b:<\/p>\n
          simhash \u7684\u751f\u6210\u5212\u5206\u4e3a\u4e94\u4e2a\u6b65\u9aa4\uff1a\u5206\u8bcd->hash->\u52a0\u6743->\u5408\u5e76->\u964d\u7ef4<\/p>\n
            \n
          1. \n
            \n
            \u5206\u8bcd<\/strong>: \u00a0\u8fd9\u4e00\u6b65\u53ef\u4ee5\u4f59\u5f26\u5b9a\u7406\u7684 1~4 \u6b65\u7c7b\u4f3c\uff0c\u9996\u5148\uff0c\u5224\u65ad\u6587\u672c\u5206\u8bcd\uff0c\u5f62\u6210\u8fd9\u4e2a\u6587\u7ae0\u7684\u7279\u5f81\u5355\u8bcd\u3002\u7136\u540e\uff0c\u5f62\u6210\u53bb\u6389\u566a\u97f3\u8bcd\u7684\u5355\u8bcd\u5e8f\u5217\u3002\u6700\u540e\uff0c\u4e3a\u6bcf\u4e2a\u5206\u8bcd\u52a0\u4e0a\u6743\u91cd\u3002\u6211\u4eec\u5047\u8bbe\u6743\u91cd\u5206\u4e3a5\u4e2a\u7ea7\u522b\uff081~5\uff09\uff0c\u6bd4\u5982\uff1a\u201c \u7f8e\u56fd\u201c51\u533a\u201d\u96c7\u5458\u79f0\u5185\u90e8\u67099\u67b6\u98de\u789f\uff0c\u66fe\u770b\u89c1\u7070\u8272\u5916\u661f\u4eba \u201d ==> \u5206\u8bcd\u540e\u4e3a \u201c \u7f8e\u56fd\uff084\uff09 51\u533a\uff085\uff09 \u96c7\u5458\uff083\uff09 \u79f0\uff081\uff09 \u5185\u90e8\uff082\uff09 \u6709\uff081\uff09 9\u67b6\uff083\uff09 \u98de\u789f\uff085\uff09 \u66fe\uff081\uff09 \u770b\u89c1\uff083\uff09 \u7070\u8272\uff084\uff09 \u5916\u661f\u4eba\uff085\uff09\u201d\uff0c\u62ec\u53f7\u91cc\u662f\u4ee3\u8868\u5355\u8bcd\u5728\u6574\u4e2a\u53e5\u5b50\u91cc\u91cd\u8981\u7a0b\u5ea6\uff0c\u6570\u5b57\u8d8a\u5927\u8d8a\u91cd\u8981\uff0c\u4e3a\u4e86\u65b9\u4fbf\u89e3\u91ca\uff0c\u4ee5\u4e0b\u6211\u4eec\u5047\u8bbe\u6587\u6863\u53ea\u6709\u300c\u7f8e\u56fd\u300d\u548c\u300c51\u533a\u300d\u8fd9\u4e24\u4e2a\u5206\u8bcd\u3002<\/p>\n<\/section>\n<\/li>\n
          2. \n
            \n
            hash<\/strong>: \u901a\u8fc7 hash \u7b97\u6cd5\u628a\u6bcf\u4e2a\u8bcd\u53d8\u6210 hash \u503c\uff0c\u6bd4\u5982\u201c\u7f8e\u56fd\u201d\u901a\u8fc7 hash \u7b97\u6cd5\u8ba1\u7b97\u4e3a 100101\uff0c\u201c51\u533a\u201d\u901a\u8fc7 hash \u7b97\u6cd5\u8ba1\u7b97\u4e3a 101011\u3002\u8fd9\u6837\uff0c\u6211\u4eec\u7684\u5b57\u7b26\u4e32\u5c31\u53d8\u6210\u4e86\u4e00\u4e32\u4e32\u6570\u5b57\uff0c\u6b64 hash \u503c\u6211\u4eec\u79f0\u4e3a\u8fd9\u4e9b\u8bcd\u5bf9\u5e94\u7684\u72ec\u70ed\u7f16\u7801\uff0c\u7136\u540e\u518d\u5c06 0 \u8f6c\u4e3a -1\uff0c\u8fd9\u6837\u7f8e\u56fd\u7684\u300c100101\u300d\u7f16\u7801\u4e3a\u4e86\u300c1-1-11-11\u300d\uff0c51\u533a\u7684\u7f16\u7801\u4e3a\u300c1-11-111\u300d\uff0c\u5c06 0 \u8f6c\u4e3a -1 \u7684\u76ee\u7684\u662f\u5c06\u6620\u5c04\u540e\u7684\u8bcd\u8bed\u653e\u7f6e\u5728\u6574\u4e2a\u7a7a\u95f4\u4e2d\uff0c\u800c\u4e0d\u662f\u67d0\u4e00\u4e2a\u8c61\u9650\uff0c\u8fd9\u6837\u53ef\u4ee5\u8ba9\u6570\u636e\u70b9\u5206\u5e03\u5f97\u66f4\u5747\u5300\u4e00\u70b9\uff0c\u4e0e\u968f\u673a\u8d85\u5e73\u9762hash\u76f8\u6bd4\uff0c\u8fd9\u91cc\u4f7f\u7528\u4e86\u4e00\u4e2a\u201c\u4e0d\u968f\u673a\u201d\u7684\u8d85\u5e73\u9762\uff0c\u5c06\u7a7a\u95f4\u8fdb\u884c\u4e86\u5206\u5272\u3002<\/p>\n<\/section>\n<\/li>\n
          3. \n
            \n
            \u52a0\u6743<\/strong>: \u901a\u8fc7 2 \u6b65\u9aa4\u7684 hash \u751f\u6210\u7ed3\u679c\uff0c\u9700\u8981\u6309\u7167\u5355\u8bcd\u7684\u6743\u91cd\u5f62\u6210\u52a0\u6743\u6570\u5b57\u4e32\uff0c\u6bd4\u5982\u300c\u7f8e\u56fd\u300d\u7684hash\u503c\u4e3a\u300c1-1-11-11\u300d\uff0c\u901a\u8fc7\u52a0\u6743\uff08\u6743\u91cd\u53c2\u89c1\u6b65\u9aa4\u4e00\u5f97\u51fa\u7684\u5404\u4e2a\u8bcd\u8bed\u7684\u6743\u91cd\u503c\uff09\u8ba1\u7b97\uff08\u76f8\u4e58\uff09\u4e3a\u300c4 -4 -4 4 -4 4\u300d\uff1b\u300c51\u533a\u300d\u7684 hash \u503c\u4e3a\u300c1-11-111\u300d\uff0c\u901a\u8fc7\u52a0\u6743\u8ba1\u7b97\u4e3a \u300c5 -5 5 -5 5 5\u300d\uff0c\u5f97\u5230\u7684\u5404\u5411\u91cf\u5373\u8868\u5f81\u4e86\u8fd9\u4e2a\u6587\u6863<\/p>\n<\/section>\n<\/li>\n
          4. \n
            \n
            \u5408\u5e76<\/strong>: \u628a\u4e0a\u9762\u5404\u4e2a\u5355\u8bcd\u7b97\u51fa\u6765\u7684\u5e8f\u5217\u503c\u7d2f\u52a0\uff0c\u53d8\u6210\u53ea\u6709\u4e00\u4e2a\u5e8f\u5217\u4e32\u3002\u6bd4\u5982 \u201c\u7f8e\u56fd\u201d\u7684 \u201c4 -4 -4 4 -4 4\u201d\uff0c\u201c51\u533a\u201d\u7684 \u201c 5 -5 5 -5 5 5\u201d\uff0c \u628a\u6bcf\u4e00\u4f4d\u8fdb\u884c\u7d2f\u52a0\uff0c \u201c4+5 -4+-5 -4+5 4+-5 -4+5 4+5\u201d ==\u300b \u201c9 -9 1 -1 1 9\u201d\u3002<\/p>\n<\/section>\n<\/li>\n
          5. \n
            \n
            \u964d\u7ef4<\/strong>: \u628a\u7b2c 4 \u6b65\u7b97\u51fa\u6765\u7684 \u300c9 -9 1 -1 1 9\u300d\u53d8\u6210 0 1 \u4e32\uff0c\u5f62\u6210\u6211\u4eec\u6700\u7ec8\u7684 simhash \u7b7e\u540d\u3002\u5982\u679c\u6bcf\u4e00\u4f4d\u5927\u4e8e 0 \u8bb0\u4e3a 1\uff0c\u5c0f\u4e8e 0 \u8bb0\u4e3a 0\u3002\u6700\u540e\u7b97\u51fa\u7ed3\u679c\u4e3a\uff1a\u300c1 0 1 0 1 1\u300d\uff0c\u8fd9\u91cc\u91c7\u7528\u4e86\u968f\u673a\u8d85\u5e73\u9762 hash \u7684\u79bb\u6563\u5316\u65b9\u6cd5\uff0c\u5f97\u5230\u6587\u672c\u7684\u6700\u7ec8\u8868\u793a<\/p>\n<\/section>\n<\/li>\n<\/ol>\n
            \u76f8\u4fe1\u7ec6\u5fc3\u7684\u4f60\u4e0d\u96be\u53d1\u73b0\u5728\u7b2c\u4e8c\u6b65\u548c\u7b2c\u4e94\u6b65\u53ef\u4ee5\u770b\u5230\u968f\u673a\u8d85\u5e73\u9762\u7684\u8eab\u5f71\uff0c\u4e5f\u5c31\u662f\u8bf4\u5e76\u6ca1\u6709\u4ea7\u751f\u76f4\u63a5\u7684\u968f\u673a\u8d85\u5e73\u9762\u5411\u91cf\u6765\u6620\u5c04\uff0c\u662f\u95f4\u63a5\u4ea7\u751f\u7684\uff0c\u5982\u679c\u60f3\u627e\u5230\u76f4\u63a5\u7684\u8d85\u5e73\u9762\u5411\u91cf R \u6765\u751f\u6210\u6700\u540e\u7684\u7b7e\u540d\u4e5f\u4e0d\u96be\uff0c\u6211\u4eec\u5c31\u5047\u8bbe\u6587\u6863\u53ea\u6709\u300c\u7f8e\u56fd\u300d,\u300c51\u533a\u300d\u8fd9\u4e24\u4e2a\u7279\u5f81\u8bcd\uff0c\u7531\u7b2c\u4e00\uff0c\u4e8c\u6b65\u53ef\u77e5\u5176\u6587\u6863\u5411\u91cf\u4e3a d = (4, 5)\uff0chash \u540e\u7684\u7f16\u7801\u4e3a 100101\uff0c101011\uff0c\u6211\u4eec\u6ce8\u610f\u5230\u7b2c\u4e8c\u6b65hash\u4f1a\u505a\u4e00\u5c42\u7f16\u7801\u8f6c\u6362\uff0c 1 \u4e0d\u53d8\uff0c 0 \u8f6c\u4e3a -1<\/p>\n
            \u00a0100101\u00a0\u00a0---->\u00a01-1-11-11\n\u00a0101011\u00a0\u00a0---->\u00a01-11-111\n<\/code><\/pre>\n
            \u518d\u7528\u9017\u53f7\u9694\u5f00\uff0c\u4f7f\u5176\u6210\u4e3a\u4e86\u7279\u5f81\u8bcd\u5bf9\u5e94\u7684\u6620\u5c04\u5411\u91cf<\/p>\n
            \u300c\u7f8e\u56fd\u300d\u5bf9\u5e94\u7684\u6620\u5c04\u5411\u91cf\uff1a(1, -1, -1, 1, -1, 1)\n\u300c51\u533a\u300d\u5bf9\u5e94\u7684\u6620\u5c04\u5411\u91cf\uff1a(1, -1, 1, -1, 1, 1)\n<\/code><\/pre>\n
            \u518d\u628a\u4e0a\u8ff0\u6bcf\u4e2a\u7279\u5f81\u8bcd\u5bf9\u5e94\u5411\u91cf\u7684\u7b2c i \u4f4d\u53d6\u51fa\u6765\u7ec4\u6210 ri \u5411\u91cf\uff0c\u5982\u4e0b<\/p>\n
            r1 = (1, 1), r2 = (-1, -1), r3 = (-1, 1), \u00a0r4 = (1, -1), r5 = (-1, 1), r6 = (1, 1)<\/p>\n
            \u518d\u56de\u987e\u4e0b\u968f\u673a hash \u8d85\u5e73\u9762\u7b97\u6cd5\u7684\u7b2c\u4e8c\u6b65:<\/p>\n
            \u00a0\u5bf9\u6bcf\u4e00\u4e2a\u5411\u91cf ri\uff0c\u5982\u679c v \u4e0e ri \u7684\u70b9\u79ef\u5927\u4e8e\u00a00\uff0c\u5219\u6700\u7ec8\u7b7e\u540d\u7684\u7b2c i \u4f4d\u4e3a 1\uff0c\u5426\u5219\u4e3a\u00a00\u3002\n<\/code><\/pre>\n
            \u5c06\u6587\u6863\u5411\u91cf d = (4, 5) \u4e0e\u4e0a\u8ff0 r1…r5 \u6bcf\u4e00\u4e2a\u5411\u91cf\u76f8\u4e58\uff0c\u53ef\u5f97\u7ed3\u679c\u4e3a<\/p>\n
            \uff089,\u00a0-9,\u00a01,\u00a0-1,\u00a01,\u00a09\uff09\u00a0\u00a0---->\u00a0\u00a0\u00a0(1\u00a0,\u00a00,\u00a01,\u00a00,\u00a01,\u00a01)\n<\/code><\/pre>\n
            \u4e0e simhash \u751f\u6210\u7684\u5b8c\u5168\u4e00\u81f4\uff01\u6240\u4ee5\u6211\u4eec\u8bf4 simhash \u662f\u4ece\u8d85\u5e73\u9762 hash \u7b97\u6cd5\u6f14\u53d8\u66f4\u6765\u7684\u3002<\/p>\n
            \u4e00\u822c simhash \u751f\u6210\u7684\u7b7e\u540d\u4e3a 64 \u4f4d\uff0c\u53ea\u8981\u4e24\u4e2a\u7b7e\u540d\u4e0d\u540c\u7684\u4f4d\u6570\u5c11\u4e8e\u7b49\u4e8e 3 \u4f4d\u6211\u4eec\u5c31\u8ba4\u4e3a\u4e24\u4e2a\u6587\u7ae0\u76f8\u4f3c\uff0c\u8fd9\u79cd\u4f7f\u7528\u4e0d\u540c\u8fdb\u5236\u4f4d\u4e2a\u6570\u6765\u8ba1\u7b97\u4e24\u8005\u5dee\u5f02\u7684\u65b9\u5f0f\u6211\u4eec\u4e5f\u53eb\u6c49\u660e\u8ddd\u79bb<\/strong>\u3002<\/p>\n
            simhash \u67e5\u8be2\u4f18\u5316<\/h3>\n
            \u751f\u6210\u4e86 64 \u4f4d\u7684\u7b7e\u540d\uff0c\u7136\u540e\u5c31\u901a\u8fc7\u8ba1\u7b97\u7b7e\u540d\u7684\u5f02\u6216\u6765\u67e5\u8be2\u6587\u7ae0\u7684\u76f8\u4f3c\u5ea6\u5417\uff1ftoo young too naive! \u5bf9\u4e8e Google \u7f51\u9875\u53bb\u91cd\u6765\u8bf4\uff0c\u53ef\u80fd\u4f1a\u6709\u51e0\u5341\u4ebf\u7684\u7f51\u9875\u5185\u5bb9\uff0c\u90a3\u6bcf\u6b21\u5224\u91cd\u90fd\u9700\u8981\u4f7f\u7528\u7b7e\u540d\u8fdb\u884c\u51e0\u5341\u4ebf\u7684\u5f02\u6216\u6bd4\u8f83\uff0c\u8fd9\u8c01\u9876\u5f97\u4f4f\u554a\uff0c\u90a3\u8be5\u5982\u4f55\u4f18\u5316\u5462\uff1f\u7b54\u6848\u662f\u5229\u7528\u62bd\u5c49\u539f\u7406\u8fdb\u884c\u4f18\u5316\u5b58\u50a8\u3002<\/p>\n
            \n
            \u4ec0\u4e48\u662f\u62bd\u5c49\u539f\u7406\uff1f\u628a\u4e09\u4e2a\u82f9\u679c\u653e\u8fdb\u56db\u4e2a\u62bd\u5c49\u91cc\uff0c\u5fc5\u7136\u6709\u4e00\u4e2a\u662f\u7a7a\u7684<\/p>\n<\/blockquote>\n
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