{"id":161141,"date":"2024-11-04T03:57:21","date_gmt":"2024-11-03T19:57:21","guid":{"rendered":"https:\/\/server.hk\/cnblog\/161141\/"},"modified":"2024-11-04T03:57:22","modified_gmt":"2024-11-03T19:57:22","slug":"%e6%a9%9f%e5%99%a8%e5%ad%b8%e7%bf%92%e4%b8%ad%e7%9a%84%e6%95%b8%e5%ad%b84-%e7%b7%9a%e6%80%a7%e5%88%a4%e5%88%a5%e5%88%86%e6%9e%90%e5%92%8c%e4%b8%bb%e6%88%90%e5%88%86%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/161141\/","title":{"rendered":"\u6a5f\u5668\u5b78\u7fd2\u4e2d\u7684\u6578\u5b78(4)-\u7dda\u6027\u5224\u5225\u5206\u6790\u548c\u4e3b\u6210\u5206\u5206\u6790"},"content":{"rendered":"<h1 id=\"%e6%a9%9f%e5%99%a8%e5%ad%b8%e7%bf%92%e4%b8%ad%e7%9a%84%e6%95%b8%e5%ad%b84-%e7%b7%9a%e6%80%a7%e5%88%a4%e5%88%a5%e5%88%86%e6%9e%90%e5%92%8c%e4%b8%bb%e6%88%90%e5%88%86%e5%88%86%e6%9e%90-CiFQMtTDlm\">\u6a5f\u5668\u5b78\u7fd2\u4e2d\u7684\u6578\u5b78(4)-\u7dda\u6027\u5224\u5225\u5206\u6790\u548c\u4e3b\u6210\u5206\u5206\u6790<\/h1>\n<p>\u5728\u6a5f\u5668\u5b78\u7fd2\u7684\u9818\u57df\u4e2d\uff0c\u6578\u5b78\u662f\u7406\u89e3\u548c\u5be6\u73fe\u5404\u7a2e\u7b97\u6cd5\u7684\u57fa\u790e\u3002\u7dda\u6027\u5224\u5225\u5206\u6790\uff08LDA\uff09\u548c\u4e3b\u6210\u5206\u5206\u6790\uff08PCA\uff09\u662f\u5169\u7a2e\u5e38\u7528\u7684\u964d\u7dad\u6280\u8853\uff0c\u9019\u5169\u8005\u5728\u6578\u64da\u9810\u8655\u7406\u548c\u7279\u5fb5\u63d0\u53d6\u4e2d\u626e\u6f14\u8457\u91cd\u8981\u7684\u89d2\u8272\u3002\u672c\u6587\u5c07\u6df1\u5165\u63a2\u8a0e\u9019\u5169\u7a2e\u6280\u8853\u7684\u6578\u5b78\u539f\u7406\u53ca\u5176\u61c9\u7528\u3002<\/p>\n<h2 id=\"%e7%b7%9a%e6%80%a7%e5%88%a4%e5%88%a5%e5%88%86%e6%9e%90%ef%bc%88lda%ef%bc%89-CiFQMtTDlm\">\u7dda\u6027\u5224\u5225\u5206\u6790\uff08LDA\uff09<\/h2>\n<p>\u7dda\u6027\u5224\u5225\u5206\u6790\u662f\u4e00\u7a2e\u76e3\u7763\u5f0f\u5b78\u7fd2\u65b9\u6cd5\uff0c\u4e3b\u8981\u7528\u65bc\u5206\u985e\u554f\u984c\u3002\u5176\u76ee\u7684\u662f\u5c0b\u627e\u4e00\u500b\u6700\u4f73\u7684\u7dda\u6027\u7d44\u5408\uff0c\u4ee5\u6700\u5927\u5316\u985e\u5225\u4e4b\u9593\u7684\u8ddd\u96e2\uff0c\u540c\u6642\u6700\u5c0f\u5316\u985e\u5225\u5167\u7684\u8ddd\u96e2\u3002\u9019\u6a23\u53ef\u4ee5\u63d0\u9ad8\u5206\u985e\u7684\u6e96\u78ba\u6027\u3002<\/p>\n<h3 id=\"%e6%95%b8%e5%ad%b8%e5%8e%9f%e7%90%86-CiFQMtTDlm\">\u6578\u5b78\u539f\u7406<\/h3>\n<p>\u5047\u8a2d\u6211\u5011\u6709\u5169\u500b\u985e\u5225\u7684\u6578\u64da\u96c6\uff0c\u5206\u5225\u70ba $C_1$ \u548c $C_2$\uff0c\u5176\u5747\u503c\u5206\u5225\u70ba $mu_1$ \u548c $mu_2$\uff0c\u5354\u65b9\u5dee\u77e9\u9663\u70ba $S_1$ \u548c $S_2$\u3002LDA\u7684\u76ee\u6a19\u662f\u627e\u5230\u4e00\u500b\u6295\u5f71\u5411\u91cf $w$\uff0c\u4f7f\u5f97\u4ee5\u4e0b\u7684\u6bd4\u7387\u6700\u5927\u5316\uff1a<\/p>\n<pre><code>\nJ(w) = frac{(w^T(mu_1 - mu_2))^2}{w^T(S_1 + S_2)w}\n<\/code><\/pre>\n<p>\u9019\u500b\u6bd4\u7387\u7684\u5206\u5b50\u662f\u985e\u5225\u5747\u503c\u4e4b\u9593\u7684\u8ddd\u96e2\uff0c\u800c\u5206\u6bcd\u5247\u662f\u985e\u5225\u5167\u7684\u8b8a\u7570\u6027\u3002\u901a\u904e\u6c42\u89e3\u9019\u500b\u512a\u5316\u554f\u984c\uff0c\u6211\u5011\u53ef\u4ee5\u5f97\u5230\u6700\u4f73\u7684\u6295\u5f71\u5411\u91cf $w$\u3002<\/p>\n<h3 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