{"id":637,"date":"2024-09-02T08:30:49","date_gmt":"2024-09-02T08:30:49","guid":{"rendered":"https:\/\/119.91.218.15\/?p=637"},"modified":"2024-09-02T08:30:49","modified_gmt":"2024-09-02T08:30:49","slug":"minhash-%e6%96%87%e6%9c%ac%e7%9b%b8%e4%bc%bc%e6%80%a7%e8%ae%a1%e7%ae%97","status":"publish","type":"post","link":"https:\/\/blog.liguanxin.cn\/index.php\/2024\/09\/02\/minhash-%e6%96%87%e6%9c%ac%e7%9b%b8%e4%bc%bc%e6%80%a7%e8%ae%a1%e7%ae%97\/","title":{"rendered":"MinHash-\u6587\u672c\u76f8\u4f3c\u6027\u8ba1\u7b97"},"content":{"rendered":"

MinHash\uff08\u6700\u5c0f\u54c8\u5e0c\uff09\u662f\u4e00\u79cd\u7528\u4e8e\u4f30\u7b97\u96c6\u5408\u76f8\u4f3c\u6027\u7684\u7b97\u6cd5\uff0c\u5b83\u5e38\u7528\u4e8e\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u96c6\u7684\u53bb\u91cd\u95ee\u9898\uff0c\u5c24\u5176\u662f\u5f53\u6570\u636e\u96c6\u975e\u5e38\u5927\uff0c\u65e0\u6cd5\u4e00\u6b21\u6027\u52a0\u8f7d\u5230\u5185\u5b58\u4e2d\u65f6\u3002MinHash \u4e3b\u8981\u5e94\u7528\u4e8e\u6587\u672c\u6570\u636e\u7684\u76f8\u4f3c\u5ea6\u8ba1\u7b97\uff0c\u4f8b\u5982\u6587\u6863\u53bb\u91cd\u3001\u7f51\u9875\u7d22\u5f15\u3001\u5783\u573e\u90ae\u4ef6\u68c0\u6d4b\u7b49\u573a\u666f\u3002<\/p>\n

MinHash\u662f\u57fa\u4e8eJaccard Index\u76f8\u4f3c\u5ea6\uff08\u6d77\u91cf\u6570\u636e\u4e0d\u53ef\u884c\uff09\u7684\u7b97\u6cd5,\u4e00\u79cd\u964d\u7ef4\u7684\u65b9\u6cd5\u3002<\/p>\n

Jaccard\u76f8\u4f3c\u5ea6<\/h3>\n

Jac(X,Y) = |X\u2229Y| \/ |X\u222aY|<\/p>\n

MinHash \u7684\u57fa\u672c\u539f\u7406<\/h3>\n

\u5728A\u222aB\u8fd9\u4e2a\u5927\u7684\u968f\u673a\u57df\u91cc\uff0c\u9009\u4e2d\u7684\u5143\u7d20\u843d\u5728A\u2229B\u8fd9\u4e2a\u533a\u57df\u7684\u6982\u7387\uff0c\u8fd9\u4e2a\u6982\u7387\u5c31\u7b49\u4e8eJaccard\u7684\u76f8\u4f3c\u5ea6\u3002<\/p>\n

\u6b65\u9aa4<\/h3>\n

1\u3001\u521b\u5efa\u54c8\u5e0c\u51fd\u6570\uff1a<\/strong>
\n\u9009\u62e9\u4e00\u7ec4\u54c8\u5e0c\u51fd\u6570h1, h2,…, hn\uff0c\u8fd9\u4e9b\u51fd\u6570\u5c06\u96c6\u5408\u4e2d\u7684\u5143\u7d20\u6620\u5c04\u5230\u4e00\u4e2a\u56fa\u5b9a\u8303\u56f4\u7684\u6574\u6570\u3002\u54c8\u5e0c\u51fd\u6570\u5e94\u8be5\u6ee1\u8db3\u5747\u5300\u5206\u5e03\u7684\u8981\u6c42\u3002<\/p>\n

2\u3001\u751f\u6210\u5019\u9009\u7b7e\u540d\uff1a<\/strong>
\n\u5bf9\u4e8e\u6bcf\u4e2a\u96c6\u5408S\uff0c\u4f7f\u7528\u6bcf\u4e2a\u54c8\u5e0c\u51fd\u6570hi\uff0c\u8ba1\u7b97\u96c6\u5408S\u4e2d\u6240\u6709\u5143\u7d20\u7684\u54c8\u5e0c\u503c\uff0c\u5e76\u9009\u53d6\u6700\u5c0f\u7684\u54ea\u4e2a\u54c8\u5e0c\u503c\u4f5c\u4e3a\u8be5\u54c8\u5e0c\u51fd\u6570\u5bf9\u5e94\u4e8e\u96c6\u5408S\u7684\u5019\u9009\u7b7e\u540d\u3002<\/p>\n

3\u3001\u6784\u9020\u7b7e\u540d\u77e9\u9635\uff1a<\/strong>
\n\u5bf9\u4e8e\u6bcf\u4e2a\u54c8\u5e0c\u51fd\u6570 hi\uff0c\u6784\u9020\u4e00\u4e2a\u7b7e\u540d\u77e9\u9635\uff0c\u77e9\u9635\u7684\u884c\u5bf9\u5e94\u54c8\u5e0c\u51fd\u6570\uff0c\u5217\u5bf9\u5e94\u5404\u4e2a\u96c6\u5408\u3002\u77e9\u9635\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4ee3\u8868\u4e00\u4e2a\u96c6\u5408\u7ecf\u8fc7\u54c8\u5e0c\u51fd\u6570\u5904\u7406\u540e\u7684\u5019\u9009\u7b7e\u540d\u3002<\/p>\n

4\u3001\u4f30\u8ba1 Jaccard \u76f8\u4f3c\u5ea6\uff1a<\/strong>
\nJaccard \u76f8\u4f3c\u5ea6\u662f\u4e24\u4e2a\u96c6\u5408\u7684\u4ea4\u96c6\u5927\u5c0f\u9664\u4ee5\u5e76\u96c6\u5927\u5c0f\u3002\u901a\u8fc7\u6bd4\u8f83\u4e24\u4e2a\u96c6\u5408\u7684\u7b7e\u540d\u77e9\u9635\u4e2d\u7684\u884c\uff0c\u53ef\u4ee5\u4f30\u8ba1\u5b83\u4eec\u4e4b\u95f4\u7684 Jaccard \u76f8\u4f3c\u5ea6\u3002\u5982\u679c\u4e24\u4e2a\u96c6\u5408\u7684\u7b7e\u540d\u5728\u67d0\u4e00\u884c\u76f8\u540c\uff0c\u90a3\u4e48\u8fd9\u4e00\u884c\u5bf9\u5e94\u7684\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u51fa\u7684\u6700\u5c0f\u54c8\u5e0c\u503c\u4e5f\u662f\u76f8\u540c\u7684\uff0c\u8fd9\u6697\u793a\u4e86\u8fd9\u4e24\u4e2a\u96c6\u5408\u53ef\u80fd\u662f\u76f8\u4f3c\u7684\u3002
\n\"\"<\/p>\n

\u5927\u89c4\u6a21\u6570\u636e\u53bb\u91cd<\/h2>\n

\u6b65\u9aa4\uff1a
\n1\u3001\u6784\u9020\u7b7e\u540d\u77e9\u9635<\/strong><\/p>\n

    \n
  • \u5bf9\u4e8e\u6bcf\u6761\u8bb0\u5f55\uff0c\u63d0\u53d6\u7279\u5f81\uff08\u5982\u6587\u6863\u4e2d\u7684\u5355\u8bcd\uff09\uff0c\u5e76\u4e3a\u6bcf\u4e2a\u7279\u5f81\u8ba1\u7b97\u54c8\u5e0c\u503c\u3002<\/li>\n
  • \u4f7f\u7528\u4e00\u7ec4\u9884\u5148\u9009\u5b9a\u7684\u54c8\u5e0c\u51fd\u6570\u4e3a\u6bcf\u6761\u8bb0\u5f55\u751f\u6210\u7b7e\u540d\u3002<\/li>\n<\/ul>\n

    2\u3001\u4f30\u8ba1\u76f8\u4f3c\u5ea6\uff1a<\/strong><\/p>\n

      \n
    • \u6bd4\u8f83\u4e0d\u540c\u8bb0\u5f55\u7684\u7b7e\u540d\uff0c\u5982\u679c\u4e24\u6761\u8bb0\u5f55\u7684\u7b7e\u540d\u5728\u591a\u4e2a\u4f4d\u7f6e\u76f8\u540c\uff0c\u90a3\u4e48\u8fd9\u4e24\u6761\u8bb0\u5f55\u53ef\u80fd\u662f\u91cd\u590d\u7684\u3002<\/li>\n
    • \u53ef\u4ee5\u8bbe\u5b9a\u4e00\u4e2a\u9608\u503c\u6765\u5224\u65ad\u54ea\u4e9b\u8bb0\u5f55\u88ab\u8ba4\u4e3a\u662f\u91cd\u590d\u7684\u3002<\/li>\n<\/ul>\n

      3\u3001\u8fc7\u6ee4\u91cd\u590d\u9879\uff1a<\/strong>
      \n\u6839\u636e\u76f8\u4f3c\u5ea6\u4f30\u8ba1\u7684\u7ed3\u679c\uff0c\u8fc7\u6ee4\u6389\u90a3\u4e9b\u88ab\u8ba4\u4e3a\u662f\u91cd\u590d\u7684\u8bb0\u5f55\u3002<\/p>\n

      MinHash\u4ecd\u7136\u9700\u8981\u904d\u5386\u6240\u6709\u7684\u96c6\u5408\u5bf9\uff0c\u56e0\u6b64\u901a\u5e38\u4e0eLSH\u4e00\u8d77\u7528\u3002<\/p>\n

      LSH<\/h2>\n

      \u5176\u57fa\u672c\u601d\u8def\u662f\u5c06\u76f8\u4f3c\u7684\u96c6\u5408\u805a\u96c6\u5230\u4e00\u8d77\uff0c\u51cf\u5c0f\u67e5\u627e\u8303\u56f4\uff0c\u907f\u514d\u6bd4\u8f83\u4e0d\u76f8\u4f3c\u7684\u96c6\u5408\u3002<\/p>\n

      1\u3001LSH\u5c06\u539fsignature matrix\u6309\u884c\u5212\u5206\u6210\u591a\u4e2aband\uff0c\u6bcf\u4e2aband\u7684\u5bbd\u5ea6\u662fr\uff0c\u663e\u7136\u6709b*r=num of hash function for MinHash\uff0c\u7136\u540e\u5bf9band\u5185\u6bcf\u4e2asignature\u6bb5hash\uff0c\u5f62\u6210\u591a\u4e2a\u6876\u3002<\/p>\n

      2\u3001\u4e24\u4e2a\u6587\u6863\u4f5c\u4e3a\u5019\u9009\u5339\u914d\u7684\u5145\u8981\u6761\u4ef6\u662f\u81f3\u5c11\u6709\u4e00\u4e2aband\u7684hash\u5728\u540c\u4e00\u4e2a\u6876\u4e2d<\/p>\n

      \u901a\u8fc7\u5206\u6bb5hash\u7136\u540e\u518d\u5bf9\u5728\u4e00\u4e2a\u6876\u4e2d\u7684\u5019\u9009signature\u8fdb\u884c\u76f8\u4f3c\u5ea6\u8ba1\u7b97\uff0c\u8fd9\u79cd\u65b9\u5f0f\u53ef\u4ee5\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u4fdd\u7559\u5bf9\u76f8\u4f3c\u5ea6\u7684\u4f30\u8ba1\uff0c\u540c\u65f6\u5927\u5e45\u63d0\u5347\u8ba1\u7b97\u7684\u6548\u7387\uff08\u56e0\u4e3a\u53ea\u9700\u8981\u5339\u914d\u90e8\u5206\u6587\u6863\uff09\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

      MinHash\uff08\u6700\u5c0f\u54c8\u5e0c\uff09\u662f\u4e00\u79cd\u7528\u4e8e\u4f30\u7b97\u96c6\u5408\u76f8\u4f3c\u6027\u7684\u7b97\u6cd5\uff0c\u5b83\u5e38\u7528\u4e8e\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u96c6\u7684\u53bb\u91cd\u95ee\u9898\uff0c\u5c24\u5176\u662f\u5f53\u6570\u636e\u96c6\u975e […]<\/p>\n","protected":false},"author":1,"featured_media":638,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[36],"tags":[39],"_links":{"self":[{"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/posts\/637"}],"collection":[{"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/comments?post=637"}],"version-history":[{"count":0,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/posts\/637\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/media\/638"}],"wp:attachment":[{"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/media?parent=637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/categories?post=637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.liguanxin.cn\/index.php\/wp-json\/wp\/v2\/tags?post=637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}