{"id":1006,"date":"2024-10-16T09:59:56","date_gmt":"2024-10-16T09:59:56","guid":{"rendered":"https:\/\/blue16.cn\/?p=1006"},"modified":"2024-10-26T08:37:47","modified_gmt":"2024-10-26T08:37:47","slug":"bilinear-classifiers-for-visual-recognition","status":"publish","type":"post","link":"https:\/\/blue16.cn\/index.php\/2024\/10\/16\/1006\/","title":{"rendered":"Bilinear classifiers for visual recognition"},"content":{"rendered":"\n

\u7b80\u4ecb<\/h2>\n\n\n\n

\u6211\u4eec\u63cf\u8ff0\u4e86\u4e00\u79cd\u5b66\u4e60\u53cc\u7ebf\u6027\u652f\u6301\u5411\u91cf\u673a<\/strong>\u7684\u7b97\u6cd5\u3002\u53cc\u7ebf\u6027\u5206\u7c7b\u5668\u662f\u53cc\u7ebf\u6027\u6a21\u578b\u7684\u5224\u522b\u53d8\u4f53\uff0c\u5b83\u6355\u6349\u6570\u636e\u5bf9\u591a\u4e2a\u56e0\u7d20\u7684\u4f9d\u8d56\u6027\u3002\u8fd9\u79cd\u6a21\u578b\u7279\u522b\u9002\u5408\u4e8e\u7528\u77e9\u9635\uff08matrix\uff09\u6216\u5f20\u91cf\uff08tensor\uff09\u800c\u4e0d\u662f\u5411\u91cf\uff08vector\uff09<\/strong>\u8868\u793a\u7684\u53ef\u89c6\u5316\u6570\u636e\u3002\u77e9\u9635\u7f16\u7801\u5141\u8bb8\u901a\u8fc7\u79e9\u9650\u5236\u8fdb\u884c\u66f4\u81ea\u7136\u7684\u6b63\u5219\u5316\u3002<\/p>\n\n\n\n

\u6a21\u578b\u63a8\u5bfc<\/h2>\n\n\n\n

\u7ebf\u6027\u9884\u6d4b\u6a21\u578b\u7684\u5c55\u73b0\u5f62\u5f0f\uff08\u8fd9\u91ccw\u548cx\u5747\u4e3a\u5217\u5411\u91cf\uff09\uff1a<\/p>\n\n\n

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\u5c06\u8be5\u516c\u5f0f\u63a8\u5e7f\u5230\u77e9\u9635\u5f62\u5f0f\uff1a<\/p>\n\n\n

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Tips\uff1a\u4e3a\u4ec0\u4e48\u662f\u8fd9\u4e2a\uff1f\u8fd9\u79cd\u8868\u793a\u5f62\u5f0f\u786e\u4fdd\u4e86X\u4e2d\u6bcf\u4e00\u4e2a\u5143\u7d20\u4e0e\u4e00\u4e2aw\u76f8\u4e58<\/strong>\uff08\u975e\u4e3b\u5bf9\u89d2\u7ebf\u7684\u5143\u7d20\u90fd\u88ab\u820d\u5f03\u4e86\uff09\uff0c\u76f8\u5f53\u4e8e\u8f6c\u4e3a\u4e86\u4e00\u4e2a\u7ebf\u6027\u7684\u9884\u6d4b\u6a21\u578b\u3002<\/p>\n\n\n\n

\u4e3a\u4e86\u964d\u4f4e\u77e9\u9635\u81ea\u7531\u5ea6\uff0c\u65b9\u4fbf\u5b66\u4e60\uff0c\u901a\u8fc7\u4e58\u6cd5\u7684\u65b9\u5f0f\u964d\u4f4e\u77e9\u9635\u7684\u79e9<\/strong>\uff08x\u65b9\u5411\u7684\u6295\u5f71\u548cy\u65b9\u5411\u7684\u6295\u5f71\u7684\u79e9\u53d6\u6700\u5c0f\uff09\uff1a<\/p>\n\n\n

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\u5e26\u5165\u5230\u4e0a\u9762\u7684\u516c\u5f0f\uff0c\u6700\u7ec8\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n\n\n

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\u7c7b\u6bd4\u4e8eSVM\u7684\u7ecf\u5178\u6a21\u578b<\/strong>\uff08Hinge loss\uff0c\u524d\u8005\uff09\uff0c\u63d0\u51fa\u65b0\u7684\u6a21\u578b\uff08\u540e\u8005\uff09\uff1a<\/p>\n\n\n

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  • Tips\uff1aTr(WT<\/sup>W)\u7684\u542b\u4e49\u662f\u628a\u6240\u6709\u5143\u7d20\u5e73\u65b9\u6c42\u548c<\/strong>\uff08\u975e\u4e3b\u5bf9\u89d2\u7ebf\u7684\u5143\u7d20\u90fd\u88ab\u820d\u5f03\u4e86\uff0c\u6070\u597d\u662f\u76f8\u540c\u7684\u5143\u7d20\u4e58\u76f8\u540c\u7684\u5143\u7d20\uff09\uff0c\u76f8\u5f53\u4e8eSVM\u4e2d\u7684\u6c42\u8303\u6570\u7684\u5e73\u65b9\u4e86\u3002<\/li>\n<\/ul>\n\n\n\n

    \u53ef\u4ee5\u8bc1\u660e\uff08\u600e\u4e48\u8bc1\u660e\u7684\uff1f\uff09\uff0c\u8fd9\u4e24\u4e2a\u90fd\u662f\u51f8\u4f18\u5316\u95ee\u9898<\/strong>\u3002<\/p>\n\n\n\n

      \n
    • Tips\uff1a\u8fd9\u4e24\u4e2a\u516c\u5f0f\u957f\u5f97\u5f88\u7c7b\u4f3c\uff0c\u5176\u5b9e\u63a8\u4e00\u4e0b\u5c31\u53d1\u73b0\u662f\u5b8c\u5168\u4e00\u6837\u7684\uff08\u4f1a\u64cd\u4f5c\u77e9\u9635\u6bcf\u4e00\u4e2a\u5143\u7d20\uff09\uff0c\u56e0\u6b64\u53ef\u4ee5\u7528\u5e38\u89c4\u7684SVM\u4f18\u5316\u5668<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n

      \u964d\u4f4eW\u7684\u79e9\uff08\u5e26\u5165\u4e4b\u524d\u901a\u8fc7\u77e9\u9635\u4e58\u6cd5\u964d\u79e9\u7684\u516c\u5f0f\uff09\uff0c\u5f97\u51fa\u5982\u4e0b\u76ee\u6807\u51fd\u6570\uff1a<\/p>\n\n\n

      \n
      \"\"<\/div><\/figure>\n<\/div>\n\n\n

      \u53ef\u4ee5\u8bc1\u660e\uff08\u600e\u4e48\u8bc1\u660e\u7684\uff1f\uff09\uff0c\u8fd9\u4e2a\u95ee\u9898\u4e3a\u4e00\u4e2a\u53cc\u51f8\u4f18\u5316\u95ee\u9898<\/strong>\uff08biconvex\uff09\u3002<\/p>\n\n\n\n

      \u4f18\u5316\u7b97\u6cd5<\/h2>\n\n\n\n

      \u5750\u6807\u4e0b\u964d\uff08Coordinate descent\uff09<\/h3>\n\n\n\n
      \n
      \n

      We can optimize (7) with a coordinate descent algorithm<\/strong> that solves for one set of parameters holding the other fixed. Each step in this descent is a convex optimization that can be solved with a standard SVM solver.\u00a0<\/p>\n<\/blockquote>\n<\/blockquote>\n\n\n\n

      \u4e5f\u5c31\u662f\u8bf4\uff0c\u901a\u8fc7\u56fa\u5b9a\u53c2\u6570<\/strong>\u7684\u65b9\u5f0f\uff0c\u628a\u8fd9\u4e2a\u95ee\u9898\u7684\u6bcf\u4e00\u6b65\u8f6c\u4e3a\u4e00\u4e2a\u51f8\u4f18\u5316\u95ee\u9898\uff0c\u8fd9\u4e2a\u51f8\u4f18\u5316\u95ee\u9898\u5c31\u80fd\u591f\u7528\u5e38\u89c4SVM\u6c42\u89e3\u5668\u8fdb\u884c\u6c42\u89e3\u3002<\/p>\n\n\n

      \n
      \"\"<\/div><\/figure>\n<\/div>\n\n\n

      Tips\uff1a\u8fd9\u91cc\u662f\u600e\u4e48\u56fa\u5b9a\u7684\uff1f\u5176\u5b9e\u662f\u7528\u4e86\u4e58\u6cd5\u7684\u7ed3\u5408\u5f8b<\/strong>\u548c\u5bf9\u79f0\u6027<\/strong>\uff0c\u5148\u63a8\u51fa\u4e0ex\u76f8\u5173\u7684\uff0c\u81ea\u7136\u5c31\u80fd\u5230\u5230\u4e0ey\u76f8\u5173\u7684\u3002<\/p>\n\n\n

      \n
      \"\"<\/div><\/figure>\n<\/div>\n\n\n

      \u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u8981\u628a\u4e0a\u9762\u7684\u5f0f\u5b50\u8f6c\u4e3a\u4e0a\u9762\u8bf4\u7684\u51f8\u4f18\u5316\u95ee\u9898<\/strong>\uff1a<\/p>\n\n\n

      \n
      \"\"<\/div><\/figure>\n<\/div>\n\n\n
        \n
      • Tips\uff1a\u8fd9\u91ccA\u662f\u5bf9\u79f0\u77e9<\/strong>\uff0cA\u548c\u5b83\u7684\u8f6c\u7f6e<\/strong>\u662f\u76f8\u7b49\u7684\u3002<\/li>\n<\/ul>\n\n\n\n

        \u4e00\u4e9b\u52a8\u673a\u4e0e\u539f\u56e0<\/h2>\n\n\n\n

        PCA\u964d\u7ef4<\/h3>\n\n\n\n

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

        \u7b80\u4ecb \u6211\u4eec\u63cf\u8ff0\u4e86\u4e00\u79cd\u5b66\u4e60\u53cc\u7ebf\u6027\u652f\u6301\u5411\u91cf\u673a\u7684\u7b97\u6cd5\u3002\u53cc\u7ebf\u6027\u5206\u7c7b\u5668\u662f\u53cc\u7ebf\u6027\u6a21\u578b\u7684\u5224\u522b\u53d8\u4f53\uff0c\u5b83\u6355\u6349\u6570\u636e\u5bf9\u591a\u4e2a\u56e0\u7d20\u7684\u4f9d\u8d56 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26,27,47,46],"tags":[],"class_list":["post-1006","post","type-post","status-publish","format-standard","hentry","category-study","category-study_note","category-47","category-46"],"_links":{"self":[{"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/posts\/1006","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/comments?post=1006"}],"version-history":[{"count":3,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/posts\/1006\/revisions"}],"predecessor-version":[{"id":1136,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/posts\/1006\/revisions\/1136"}],"wp:attachment":[{"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/media?parent=1006"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/categories?post=1006"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blue16.cn\/index.php\/wp-json\/wp\/v2\/tags?post=1006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}