{"id":1003,"date":"2019-08-09T01:32:28","date_gmt":"2019-08-08T17:32:28","guid":{"rendered":"http:\/\/www.liujh168.com\/?p=1003"},"modified":"2019-08-09T17:13:40","modified_gmt":"2019-08-09T09:13:40","slug":"dtw","status":"publish","type":"post","link":"https:\/\/www.liujh168.com\/index.php\/2019\/08\/09\/dtw\/","title":{"rendered":"\u8bed\u97f3\u8bc6\u522b\u521d\u63a2\uff08\u4e8c\uff09DTW\u7b97\u6cd5\u7b80\u4ecb"},"content":{"rendered":"

DTW\u6700\u521d\u7528\u4e8e\u8bc6\u522b\u8bed\u97f3\u7684\u76f8\u4f3c\u6027\u3002\u6211\u4eec\u7528\u6570\u5b57\u8868\u793a\u97f3\u8c03\u9ad8\u4f4e\uff0c\u4f8b\u5982\u67d0\u4e2a\u5355\u8bcd\u53d1\u97f3\u7684\u97f3\u8c03\u4e3a1-3-2-4\u3002\u73b0\u5728\u6709\u4e24\u4e2a\u4eba\u8bf4\u8fd9\u4e2a\u5355\u8bcd\uff0c\u4e00\u4e2a\u4eba\u5728\u524d\u534a\u90e8\u5206\u62d6\u957f\uff0c\u5176\u53d1\u97f3\u4e3a1-1-3-3-2-4\uff1b\u53e6\u4e00\u4e2a\u4eba\u5728\u540e\u534a\u90e8\u5206\u62d6\u957f\uff0c\u5176\u53d1\u97f3\u4e3a1-3-2-2-4-4\u3002\"\"\u73b0\u5728\u8981\u8ba1\u7b971-1-3-3-2-4\u548c1-3-2-2-4-4\u4e24\u4e2a\u5e8f\u5217\u7684\u8ddd\u79bb\uff08\u8ddd\u79bb\u8d8a\u5c0f\uff0c\u76f8\u4f3c\u5ea6\u8d8a\u9ad8\uff09\u3002\u56e0\u4e3a\u4e24\u4e2a\u5e8f\u5217\u4ee3\u8868\u540c\u4e00\u4e2a\u5355\u8bcd\uff0c\u6211\u4eec\u5e0c\u671b\u7b97\u51fa\u7684\u8ddd\u79bb\u8d8a\u5c0f\u8d8a\u597d\uff0c\u8fd9\u6837\u628a\u4e24\u4e2a\u5e8f\u5217\u8bc6\u522b\u4e3a\u540c\u4e00\u5355\u8bcd\u7684\u6982\u7387\u5c31\u8d8a\u5927\u3002
\n\u5148\u7528\u4f20\u7edf\u65b9\u6cd5\u8ba1\u7b97\u4e24\u4e2a\u5e8f\u5217\u7684\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\uff0c\u5373\u8ba1\u7b97\u4e24\u4e2a\u5e8f\u5217\u5404\u4e2a\u5bf9\u5e94\u7684\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e4b\u548c\u3002
\n\u8ddd\u79bb\u4e4b\u548c = |A(1)-B(1)| + |A(2)-B(2)| + |A(3)-B(3)| + |A(4)-B(4)| + |A(5)-B(5)| + |A(6)-B(6)|= |1-1| + |1-3| + |3-2| + |3-2| + |2-4| + |4-4|= 6\"\"
\n\u5982\u679c\u6211\u4eec\u5141\u8bb8\u5e8f\u5217\u7684\u70b9\u4e0e\u53e6\u4e00\u5e8f\u5217\u7684\u591a\u4e2a\u8fde\u7eed\u7684\u70b9\u76f8\u5bf9\u5e94\uff08\u76f8\u5f53\u4e8e\u628a\u8fd9\u4e2a\u70b9\u6240\u4ee3\u8868\u7684\u97f3\u8c03\u7684\u53d1\u97f3\u65f6\u95f4\u5ef6\u957f\uff09\uff0c\u7136\u540e\u518d\u8ba1\u7b97\u5bf9\u5e94\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e4b\u548c\u3002\u5982\u4e0b\u56fe\uff1aB(1)\u4e0eA(1)\u3001A(2)\u76f8\u5bf9\u5e94\uff0cB(2)\u4e0eA(3)\u3001A(4)\u76f8\u5bf9\u5e94\uff0cA(5)\u4e0eB(3)\u3001B(4)\u76f8\u5bf9\u5e94\uff0cA(6)\u4e0eB(5)\u3001B(6)\u76f8\u5bf9\u5e94\u3002\"\"
\n\u8fd9\u6837\u7684\u8bdd\uff0c \u8ddd\u79bb\u4e4b\u548c
\n= |A(1)-B(1)| + |A(2)-B(1)| + |A(3)-B(2)| + |A(4)-B(2)| + |A(5)-B(3)| + |A(5)-B(4)| + |A(6)-B(5)| + |A(6)-B(6)|= |1-1| + |1-1| + |3-3| + |3-3| + |2-2| + |2-2| + |4-4| + |4-4|
\n= 0
\n\u6211\u4eec\u628a\u8fd9\u79cd\u201c\u53ef\u4ee5\u628a\u5e8f\u5217\u67d0\u4e2a\u65f6\u523b\u7684\u70b9\u8ddf\u53e6\u4e00\u65f6\u523b\u591a\u4e2a\u8fde\u7eed\u65f6\u523b\u7684\u70b9\u76f8\u5bf9\u5e94\u201d\u7684\u505a\u6cd5\u79f0\u4e3a\u65f6\u95f4\u89c4\u6574\uff08Time Warping\uff09\u3002
\n\u73b0\u5728\u6211\u4eec\u7528\u4e00\u4e2a6*6\u77e9\u9635M\u8868\u793a\u5e8f\u5217A\uff081-1-3-3-2-4\uff09\u548c\u5e8f\u5217B\uff081-3-2-2-4-4\uff09\u5404\u4e2a\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0cM(i, j)\u7b49\u4e8eA\u7684\u7b2ci\u4e2a\u70b9\u548cB\u7684\u7b2cj\u4e2a\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u5373\"\"
\n\u6211\u4eec\u770b\u5230\u4f20\u7edf\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u91cc\u5bf9\u5e94\u7684\u70b9\uff1a
\n\u00b7 A(1)-B(1)
\n\u00b7 A(2)-B(2)
\n\u00b7 A(3)-B(3)
\n\u00b7 A(4)-B(4)
\n\u00b7 A(5)-B(5)
\n\u00b7 A(6)-B(6)
\n\u5b83\u4eec\u6b63\u597d\u6784\u6210\u4e86\u5bf9\u89d2\u7ebf\uff0c\u5bf9\u89d2\u7ebf\u4e0a\u5143\u7d20\u548c\u4e3a6\u3002
\n\u65f6\u95f4\u89c4\u6574\u7684\u65b9\u6cd5\u91cc\uff0c\u5bf9\u5e94\u7684\u70b9\u4e3a\uff1a
\n\u00b7 A(1)A(2)-B(1)
\n\u00b7 A(3)A(4)-B(2)
\n\u00b7 A(5)-B(3)B(4)
\n\u00b7 A(6)-B(5)B(6)
\n\u8fd9\u4e9b\u70b9\u6784\u6210\u4e86\u4ece\u5de6\u4e0a\u89d2\u5230\u53f3\u4e0b\u89d2\u7684\u53e6\u4e00\u6761\u8def\u5f84\uff0c\u8def\u5f84\u4e0a\u7684\u5143\u7d20\u548c\u4e3a0\u3002
\n\u56e0\u6b64\uff0cDTW\u7b97\u6cd5\u7684\u6b65\u9aa4\u4e3a\uff1a
\n1. \u8ba1\u7b97\u4e24\u4e2a\u5e8f\u5217\u5404\u4e2a\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u77e9\u9635\u3002
\n2. \u5bfb\u627e\u4e00\u6761\u4ece\u77e9\u9635\u5de6\u4e0a\u89d2\u5230\u53f3\u4e0b\u89d2\u7684\u8def\u5f84\uff0c\u4f7f\u5f97\u8def\u5f84\u4e0a\u7684\u5143\u7d20\u548c\u6700\u5c0f\u3002
\n\u6211\u4eec\u79f0\u8def\u5f84\u4e0a\u7684\u5143\u7d20\u548c\u4e3a\u8def\u5f84\u957f\u5ea6\u3002\u90a3\u4e48\u5982\u4f55\u5bfb\u627e\u957f\u5ea6\u6700\u5c0f\u7684\u8def\u5f84\u5462\uff1f
\n\u77e9\u9635\u4ece\u5de6\u4e0a\u89d2\u5230\u53f3\u4e0b\u89d2\u7684\u8def\u5f84\u957f\u5ea6\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a
\n1. \u5f53\u524d\u8def\u5f84\u957f\u5ea6 = \u524d\u4e00\u6b65\u7684\u8def\u5f84\u957f\u5ea6 + \u5f53\u524d\u5143\u7d20\u7684\u5927\u5c0f
\n2. \u8def\u5f84\u4e0a\u7684\u67d0\u4e2a\u5143\u7d20(i, j)\uff0c\u5b83\u7684\u524d\u4e00\u4e2a\u5143\u7d20\u53ea\u53ef\u80fd\u4e3a\u4ee5\u4e0b\u4e09\u8005\u4e4b\u4e00\uff1a
\na) \u5de6\u8fb9\u7684\u76f8\u90bb\u5143\u7d20 (i, j-1)
\nb) \u4e0a\u9762\u7684\u76f8\u90bb\u5143\u7d20 (i-1, j)
\nc) \u5de6\u4e0a\u65b9\u7684\u76f8\u90bb\u5143\u7d20 (i-1, j-1)
\n\u5047\u8bbe\u77e9\u9635\u4e3aM\uff0c\u4ece\u77e9\u9635\u5de6\u4e0a\u89d2(1,1)\u5230\u4efb\u4e00\u70b9(i, j)\u7684\u6700\u77ed\u8def\u5f84\u957f\u5ea6\u4e3aLmin(i, j)\u3002\u90a3\u4e48\u53ef\u4ee5\u7528\u9012\u5f52\u7b97\u6cd5\u6c42\u6700\u77ed\u8def\u5f84\u957f\u5ea6\uff1a
\n\u8d77\u59cb\u6761\u4ef6\uff1a\"\"\u9012\u63a8\u89c4\u5219\uff1a\"\"\u9012\u63a8\u89c4\u5219\u8fd9\u6837\u5199\u7684\u539f\u56e0\u662f\u56e0\u4e3a\u5f53\u524d\u5143\u7d20\u7684\u6700\u77ed\u8def\u5f84\u5fc5\u7136\u662f\u4ece\u524d\u4e00\u4e2a\u5143\u7d20\u7684\u6700\u77ed\u8def\u5f84\u7684\u957f\u5ea6\u52a0\u4e0a\u5f53\u524d\u5143\u7d20\u7684\u503c\u3002\u524d\u4e00\u4e2a\u5143\u7d20\u6709\u4e09\u4e2a\u53ef\u80fd\uff0c\u6211\u4eec\u53d6\u4e09\u4e2a\u53ef\u80fd\u4e4b\u4e2d\u8def\u5f84\u6700\u77ed\u7684\u90a3\u4e2a\u5373\u53ef\u3002(\u201c\u9012\u5f52\u7b97\u6cd5\u6c42\u6700\u77ed\u957f\u5ea6\u201d\u95ee\u9898\u4e0d\u662f\u5168\u5c40\u6700\u4f18\uff0c\u5e94\u8be5\u7528\u3010\u52a8\u6001\u89c4\u5212\u3011\uff1f)<\/p>\n

\u539f\u6587\uff1a https:\/\/zhuanlan.zhihu.com\/p\/43247215<\/p>\n","protected":false},"excerpt":{"rendered":"

DTW\u6700\u521d\u7528\u4e8e\u8bc6\u522b\u8bed\u97f3\u7684\u76f8\u4f3c\u6027\u3002\u6211\u4eec\u7528\u6570\u5b57\u8868\u793a\u97f3\u8c03\u9ad8\u4f4e\uff0c\u4f8b\u5982\u67d0\u4e2a\u5355\u8bcd\u53d1\u97f3\u7684\u97f3\u8c03\u4e3a1-3-2-4\u3002\u73b0\u5728\u6709\u4e24\u4e2a\u4eba\u8bf4 … \u7ee7\u7eed\u9605\u8bfb\u201c\u8bed\u97f3\u8bc6\u522b\u521d\u63a2\uff08\u4e8c\uff09DTW\u7b97\u6cd5\u7b80\u4ecb\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,4,41],"tags":[16,31],"class_list":["post-1003","post","type-post","status-publish","format-standard","hentry","category-remember","category-education","category-uncategorized","tag-it","tag-ml"],"_links":{"self":[{"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/posts\/1003","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/comments?post=1003"}],"version-history":[{"count":3,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/posts\/1003\/revisions"}],"predecessor-version":[{"id":1022,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/posts\/1003\/revisions\/1022"}],"wp:attachment":[{"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/media?parent=1003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/categories?post=1003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.liujh168.com\/index.php\/wp-json\/wp\/v2\/tags?post=1003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}