{"id":3132,"date":"2022-02-27T12:13:14","date_gmt":"2022-02-27T04:13:14","guid":{"rendered":"https:\/\/egonlin.com\/?p=3132"},"modified":"2022-02-27T12:13:14","modified_gmt":"2022-02-27T04:13:14","slug":"k-means%e8%81%9a%e7%b1%bb%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/egonlin.com\/?p=3132","title":{"rendered":"K-Means\u805a\u7c7b\u7b97\u6cd5"},"content":{"rendered":"

K-Means\u805a\u7c7b\u7b97\u6cd5<\/h1>\n

  K-means\u805a\u7c7b\u7b97\u6cd5\u5c5e\u4e8e\u65e0\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u5b83\u5b9e\u73b0\u7b80\u5355\u5e76\u4e14\u805a\u7c7b\u6548\u679c\u4f18\u826f\uff0c\u6240\u4ee5\u5728\u5de5\u4e1a\u754c\u4e5f\u88ab\u5e7f\u6cdb\u5e94\u7528\u3002\u540c\u65f6K-Means\u805a\u7c7b\u7b97\u6cd5\u4e5f\u6709\u5927\u91cf\u7684\u53d8\u4f53\uff0c\u672c\u6587\u5c06\u4ece\u6700\u4f20\u7edf\u7684K-Means\u805a\u7c7b\u7b97\u6cd5\u8bb2\u8d77\uff0c\u8ba9\u540e\u5728\u5176\u57fa\u7840\u4e0a\u8bb2\u89e3K-Means\u805a\u7c7b\u7b97\u6cd5\u7684\u53d8\u4f53\uff0c\u5176\u4e2d\u5b83\u7684\u53d8\u4f53\u5305\u62ec\u521d\u59cb\u5316\u4f18\u5316K-Means++\u3001\u8ddd\u79bb\u8ba1\u7b97\u4f18\u5316elkan K-Means\u548c\u5927\u6570\u636e\u60c5\u51b5\u4e0b\u7684\u4f18\u5316Mini Batch K-Means\u7b97\u6cd5\u3002<\/p>\n

K-Means\u805a\u7c7b\u7b97\u6cd5\u5b66\u4e60\u76ee\u6807<\/h1>\n
    \n
  1. K-Means\u805a\u7c7b\u7b97\u6cd5\u539f\u7406\u4ee5\u53ca\u5b83\u7684\u4f18\u7f3a\u70b9<\/li>\n
  2. K-Means\u521d\u59cb\u5316\u4f18\u5316\u4e4bK-Means++\u7b97\u6cd5<\/li>\n
  3. K-Means\u8ddd\u79bb\u8ba1\u7b97\u4f18\u5316\u4e4belkan K-Means\u7b97\u6cd5<\/li>\n
  4. \u5927\u6570\u636e\u4f18\u5316\u4e4bMini Batch K-Means\u7b97\u6cd5<\/li>\n
  5. K-Means\u805a\u7c7b\u7b97\u6cd5\u548cKNN\uff08k\u8fd1\u90bb\u7b97\u6cd5\uff09\u7684\u533a\u522b<\/li>\n<\/ol>\n

    K-Means\u805a\u7c7b\u7b97\u6cd5\u8be6\u89e3<\/h1>\n

    K-Means\u805a\u7c7b\u7b97\u6cd5\u539f\u7406<\/h2>\n

      K-Means\u7684\u601d\u60f3\u975e\u5e38\u7b80\u5355\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6837\u672c\u96c6\uff0c\u6309\u7167\u6837\u672c\u96c6\u4e4b\u95f4\u7684\u8ddd\u79bb\u5927\u5c0f\uff0c\u5c06\u6837\u672c\u96c6\u5206\u6210K\u4e2a\u7c07\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff1a\u6bcf\u4e2a\u7c07\u4e4b\u95f4\u7684\u70b9\u5c3d\u91cf\u76f8\u8fd1\uff0c\u800c\u7c07\u4e0e\u7c07\u4e4b\u95f4\u7684\u8ddd\u79bb\u5c3d\u91cf\u8f83\u5927\u3002<\/p>\n

      \u5047\u8bbe\u76ee\u524d\u6709k\u4e2a\u7c07\u5206\u522b\u4e3a${C_1,C_2,\\cdots,Ck}$\uff0c\u5728\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528\u5747\u65b9\u8bef\u5dee\u5ea6\u91cf\u7c07\u5185\u70b9\u4e0e\u70b9\u7684\u8bef\u5dee\uff0c\u5373\u8bef\u5dee\u5b9a\u4e49\u4e3a\uff1a
    \n$$
    \nE = \\sum<\/em>{i=1}^k\\sum_{x\\in{C_i}}||x-\\mu_i||_2^2
    \n$$
    \n\u5176\u4e2d$\\mu_i$\u662f\u7c07$C_i$\u7684\u5747\u503c\u5411\u91cf\uff0c\u6709\u65f6\u6709\u79f0\u4e3a\u8d28\u5fc3\uff0c\u8868\u8fbe\u5f0f\u4e3a\uff1a
    \n$$
    \n\\mu_i = \\frac{1}{Ci}\\sum<\/em>{x\\in{C_i}}x
    \n$$
    \n  \u5bf9\u4e8e\u4e0a\u5f0f\uff0c\u5b83\u662f\u4e00\u4e2aNP\u96be\u7684\u95ee\u9898\uff08\u8ba1\u7b97\u91cf\u975e\u5e38\u5927\u7684\u95ee\u9898\uff09\uff0c\u56e0\u6b64\u6c42\u4e0a\u5f0f\u7684\u6700\u5c0f\u503c\u53ea\u80fd\u91c7\u7528\u542f\u53d1\u5f0f\u7684\u8fed\u4ee3\u65b9\u6cd5\u3002<\/p>\n

    \"\"<\/div><\/p>\n

      \u4e0a\u56fea\u8868\u793a\u521d\u59cb\u7684\u6570\u636e\u96c6\uff0c\u5047\u8bbek=2\uff0c\u5373\u6211\u4eec\u8981\u5206\u6210\u5bf9\u4e0a\u8ff0\u6570\u636e\u96c6\u5206\u6210\u4e24\u4e2a\u7c07\u3002\u9996\u5148\u6211\u4eec\u9700\u8981\u968f\u673a\u9009\u62e9\u4e24\u4e2ak\u7c7b\u6240\u5bf9\u5e94\u7684\u7c7b\u522b\u8d28\u5fc3\uff0c\u5373\u56feb\u4e2d\u7684\u7ea2\u70b9\u548c\u84dd\u70b9\uff1b\u7136\u540e\u5206\u522b\u8ba1\u7b97\u6837\u672c\u4e2d\u6240\u6709\u70b9\u5230\u8fd9\u4e24\u4e2a\u8d28\u5fc3\u7684\u8ddd\u79bb\uff0c\u540c\u65f6\u6807\u8bb0\u6bcf\u4e2a\u6837\u672c\u7684\u7c7b\u522b\u4e3a\u8be5\u6837\u672c\u8ddd\u79bb\u6700\u5c0f\u7684\u8d28\u5fc3\u7684\u7c7b\u522b\uff0c\u6b64\u65f6\u6211\u4eec\u5f97\u5230\u7b2c\u4e00\u8f6e\u8fed\u4ee3\u540e\u7684\u7c7b\u522b\uff0c\u5982\u56fec\u6240\u793a\uff1b\u5bf9\u4e8e\u5df2\u7ecf\u88ab\u6807\u8bb0\u4e3a\u4e24\u4e2a\u4e0d\u540c\u7684\u7c7b\u522b\uff0c\u6211\u4eec\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u7c7b\u522b\u7684\u65b0\u7684\u8d28\u5fc3\uff0c\u5982\u56fed\u6240\u793a\uff1b\u7136\u540e\u6211\u4eec\u91cd\u590d\u56fec\u548c\u56fed\u7684\u8fc7\u7a0b\uff0c\u5c06\u6240\u6709\u70b9\u7684\u7c7b\u522b\u6807\u8bb0\u4e3a\u8ddd\u79bb\u6700\u8fd1\u7684\u8d28\u5fc3\u7684\u7c7b\u5e76\u6c42\u65b0\u7684\u8d28\u5fc3\uff0c\u6700\u7ec8\u7b97\u6cd5\u5c06\u4f1a\u6536\u655b\u81f3\u56fef\u3002<\/p>\n

    K-Means\u805a\u7c7b\u7b97\u6cd5\u548cKNN<\/h2>\n

      \u76f8\u540c\u70b9\uff1a<\/p>\n

      \n
    1. K-Means\u805a\u7c7b\u7b97\u6cd5\u548cKNN\uff08K\u8fd1\u90bb\u7b97\u6cd5\uff09\u90fd\u662f\u627e\u5230\u79bb\u67d0\u4e00\u4e2a\u70b9\u6700\u8fd1\u7684\u70b9\uff0c\u5373\u4e24\u8005\u90fd\u4f7f\u7528\u4e86\u6700\u8fd1\u9886\u7684\u601d\u60f3<\/li>\n<\/ol>\n

        \u4e0d\u540c\u70b9\uff1a<\/p>\n

        \n
      1. K-Means\u805a\u7c7b\u7b97\u6cd5\u662f\u65e0\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u6ca1\u6709\u6837\u672c\u8f93\u51fa\uff1bKNN\u662f\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u6709\u5bf9\u5e94\u7684\u7c7b\u522b\u8f93\u51fa<\/li>\n
      2. K-Means\u5728\u8fed\u4ee3\u7684\u8fc7\u7a0b\u4e2d\u627e\u5230K\u4e2a\u7c7b\u522b\u7684\u6700\u4f73\u8d28\u5fc3\uff0c\u4ece\u800c\u51b3\u5b9aK\u4e2a\u7c07\u7c7b\u522b\uff1bKNN\u5219\u662f\u627e\u5230\u8bad\u7ec3\u96c6\u4e2d\u79bb\u67d0\u4e2a\u70b9\u6700\u8fd1\u7684K\u4e2a\u70b9<\/li>\n<\/ol>\n

        \u4f20\u7edf\u7684K-Means\u805a\u7c7b\u7b97\u6cd5\u6d41\u7a0b<\/h1>\n

          \u5bf9\u4e8e\u4f20\u7edf\u7684K-Means\u805a\u7c7b\u7b97\u6cd5\uff0c\u6211\u4eec\u9700\u8981\u6ce8\u610f\u4ee5\u4e0b\u4e24\u70b9\uff1a<\/p>\n

          \n
        1. \u6211\u4eec\u9700\u8981\u6ce8\u610fK-Means\u805a\u7c7b\u7b97\u6cd5\u7684K\u503c\u7684\u9009\u62e9\uff0c\u4e00\u822c\u6211\u4eec\u4f1a\u6839\u636e\u5bf9\u6570\u636e\u7684\u5148\u9a8c\u7ecf\u9a8c\u9009\u62e9\u4e00\u4e2a\u5408\u9002\u7684K\uff0c\u5373\u53ef\u4ee5\u901a\u8fc7\u4e13\u5bb6\u7684\u7ecf\u9a8c\u8fdb\u884c\u9009\u62e9\uff1b\u5982\u679c\u6ca1\u6709\u5148\u9a8c\u77e5\u8bc6\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4ea4\u53c9\u9a8c\u8bc1\u7684\u65b9\u6cd5\u9009\u62e9\u4e00\u4e2a\u5408\u9002\u7684K\u503c\u3002<\/li>\n
        2. \u786e\u5b9aK\u503c\uff0c\u5373\u8d28\u5fc3\u7684\u4e2a\u6570\u4e4b\u540e\u3002\u6211\u4eec\u9700\u8981\u786e\u5b9a\u8fd9\u4e2aK\u4e2a\u8d28\u5fc3\u7684\u4f4d\u7f6e\uff0c\u56e0\u4e3a\u8fd9K\u4e2a\u8d28\u5fc3\u7684\u4f4d\u7f6e\u5bf9\u6700\u540e\u7684\u805a\u7c7b\u7ed3\u679c\u548c\u8fd0\u884c\u65f6\u95f4\u90fd\u6709\u4e00\u5b9a\u7684\u5f71\u54cd\uff0c\u56e0\u6b64\u9700\u8981\u9009\u62e9\u5408\u9002\u7684K\u4e2a\u8d28\u5fc3\uff0c\u4e00\u822c\u60c5\u51b5\u4e0b\u8fd9K\u4e2a\u8d28\u5fc3\u4e0d\u8981\u592a\u8fd1\u3002<\/li>\n<\/ol>\n

          \u8f93\u5165<\/h2>\n

          <\/p>

          <\/div>

          \u67e5\u770b\u66f4\u591a<\/h2>

          \u8054\u7cfb\u7ba1\u7406\u5458\u5fae\u4fe1tutu19192010\uff0c\u6ce8\u518c\u8d26\u53f7<\/p>\n<\/div>

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          <\/div>","protected":false},"excerpt":{"rendered":"

          K-Means\u805a\u7c7b\u7b97\u6cd5   K-means\u805a\u7c7b\u7b97\u6cd5\u5c5e\u4e8e\u65e0\u76d1\u7763\u5b66\u4e60\u7b97\u6cd5\uff0c\u5b83\u5b9e\u73b0\u7b80\u5355\u5e76\u4e14\u805a\u7c7b\u6548 […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[276,292],"tags":[],"_links":{"self":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts\/3132"}],"collection":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3132"}],"version-history":[{"count":0,"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts\/3132\/revisions"}],"wp:attachment":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3132"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}