{"id":5509,"date":"2025-05-25T14:41:54","date_gmt":"2025-05-25T06:41:54","guid":{"rendered":"http:\/\/xinblog.ltd\/?p=5509"},"modified":"2025-05-26T09:59:21","modified_gmt":"2025-05-26T01:59:21","slug":"%e5%9f%ba%e7%a1%80%e6%95%b0%e5%ad%a6%e8%af%be27-pca-%e4%b8%bb%e6%88%90%e5%88%86%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"http:\/\/xinblog.ltd\/?p=5509","title":{"rendered":"\u57fa\u7840\u6570\u5b66\u8bfe27 PCA \u4e3b\u6210\u5206\u5206\u6790"},"content":{"rendered":"<p>\u57fa\u7840\u6570\u5b66\u8bfe27 PCA \u4e3b\u6210\u5206\u5206\u6790<\/p>\n<p>\u6211\u4eec\u8bf4\u4e0b\u4e00\u4e2a\u7b80\u5355\u7684\u964d\u7ef4\u624b\u6bb5\uff0c\u4e3b\u6210\u5206\u5206\u6790PCA<\/p>\n<p>\u5bf9\u4e8e\u964d\u7ef4\uff0c\u6211\u4eec\u4e4b\u524d\u8bf4\u8fc7\uff0c\u5f80\u5f80\u673a\u5668\u5b66\u4e60\u9886\u57df\u4e2d\uff0c\u7269\u54c1\u7684\u7279\u5f81\u592a\u591a\u3002\u800c\u7279\u5f81\u592a\u591a\u4f1a\u5bfc\u81f4\u7ef4\u5ea6\u8fc7\u591a\uff0c\u4ece\u800c\u52a0\u5927\u4e86\u673a\u5668\u5b66\u4e60\u7684\u96be\u5ea6\u3002\u56e0\u6b64\u9700\u8981\u8fc7\u6ee4\u6389\u4e00\u4e9b\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u3002\u65b9\u4fbf\u673a\u5668\u5b66\u4e60\u3002<\/p>\n<p>\u90a3\u4e48PCA\u5c31\u662f\u4e00\u79cd<\/p>\n<p>\u9996\u5148\u6211\u4eec\u5047\u8bbe\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u6709m\u4e2a\u6837\u672c\uff0cn\u4e2a\u7ef4\u5ea6\uff0c\u6574\u4f53\u5982\u4e0b<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"1288\" height=\"322\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-195.png\" class=\"wp-image-5510\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-195.png 1288w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-195-300x75.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-195-1024x256.png 1024w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-195-768x192.png 768w\" sizes=\"(max-width: 1288px) 100vw, 1288px\" \/><\/p>\n<p>\u4ece\u800c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2am*n\u7684\u77e9\u9635\u3002<\/p>\n<p>\u90a3\u4e48\u6211\u4eec\u73b0\u5728\u5c31\u9700\u8981\u964d\u4f4e\u8fd9\u4e2a\u77e9\u9635\u7684\u7ef4\u5ea6\uff0c\u4fdd\u7559\u6700\u6709\u7528\u7684\u4fe1\u606f\u3002\u8fd9\u91cc\u53ef\u4ee5\u5229\u7528PCA\u5b8c\u6210\uff0c\u5176\u5305\u542b\u4e86\u5982\u4e0b\u7684\u6b65\u9aa4<\/p>\n<ol>\n<li>\n  \u6807\u51c6\u5316\u539f\u59cb\u6570\u636e<\/li>\n<li>\n  \u83b7\u53d6\u534f\u65b9\u5dee\u77e9\u9635<\/li>\n<li>\n  \u8ba1\u7b97\u5176\u4e2d\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf<\/li>\n<li>\n  \u6311\u9009\u4e3b\u8981\u7684\u7279\u5f81\u5411\u91cf<\/li>\n<li>\n  \u751f\u6210\u65b0\u7684\u7279\u5f81<\/li>\n<\/ol>\n<p>\u5bf9\u5e94\u6b65\u9aa4\u6211\u4eec\u5206\u5f00\u8bb2\u89e3\u4e0b<\/p>\n<ol>\n<li>\n  \u6807\u51c6\u5316<\/li>\n<\/ol>\n<p>\u8fd9\u91cc\u6211\u4eec\u5229\u7528\u7279\u5f81\u6807\u51c6\u5316\uff0c\u8fdb\u884c\u5904\u7406<\/p>\n<p>Y = (x-u)\/(q)<\/p>\n<p>\u5176\u4e2dx\u662f\u539f\u59cb\u503c\uff0cu\u662f\u5747\u503c\uff0cq\u662f\u6807\u51c6\u5dee\uff08\u65b9\u5dee\uff09<\/p>\n<p>Y\u662f\u53d8\u5316\u540e\u7684\u503c\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u540c\u4e00\u7ef4\u5ea6\u7684\u6570\u636e\u8fdb\u884c\u6807\u51c6\u5316\u3002<\/p>\n<p>\u8fd9\u91cc\u6211\u4eec\u5047\u8bbe\u6709\u4e00\u4e2a\u6837\u672c\u96c6\u5408\uff0c\u5305\u542b\u4e86\u4e09\u4e2a\u6837\u672c\uff0c\u6bcf\u4e2a\u6837\u672c\u5177\u67093\u4e2a\u7ef4\u5ea6\u7279\u5f81<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"662\" height=\"384\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-196.png\" class=\"wp-image-5511\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-196.png 662w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-196-300x174.png 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<p>\u8fd9\u91cc\u6211\u4eec\u8fdb\u884c\u6807\u51c6\u5316<\/p>\n<p>\u7b2c\u4e00\u7ef4\u5ea6\u7684\u6570\u636e\u5c31\u662f 1 2 -3 \u5e73\u5747\u503c0\uff0c\u65b9\u5dee\u4e3a<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"552\" height=\"70\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-197.png\" class=\"wp-image-5512\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-197.png 552w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-197-300x38.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>\u4e4b\u540e\u6211\u4eec\u53ef\u4ee5\u5957\u5165\u524d\u9762\u7684\u516c\u5f0f<\/p>\n<p>\u5f97\u5230\u7b2c\u4e00\u7ef4\u5ea6\u7684\u6570\u636e\uff0c1\/2.16=0.463\uff0c2\/2.16=0.926\uff0c-<sup>3<\/sup>\u2044<sub>2<\/sub>.16=-1.389<\/p>\n<p>\u6700\u7ec8\u5f97\u5230\u7684\u6807\u51c6\u5316\u77e9\u9635\u4e3a<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"966\" height=\"398\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-198.png\" class=\"wp-image-5513\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-198.png 966w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-198-300x124.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-198-768x316.png 768w\" sizes=\"(max-width: 966px) 100vw, 966px\" \/><\/p>\n<ol>\n<li>\n  \u83b7\u53d6\u534f\u65b9\u5dee\u77e9\u9635<\/li>\n<\/ol>\n<p>\u534f\u65b9\u5dee\u7528\u4e8e\u8861\u91cf\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u603b\u4f53\u8bef\u5dee\u3002\u5047\u8bbe\u4e24\u4e2a\u53d8\u91cf\u4e3ax y<\/p>\n<p>\u91c7\u6837\u6570\u91cf\u4e3am\uff0c\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"984\" height=\"344\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-199.png\" class=\"wp-image-5514\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-199.png 984w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-199-300x105.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-199-768x268.png 768w\" sizes=\"(max-width: 984px) 100vw, 984px\" \/><\/p>\n<p>\u5176\u4e2dxk\u4e3aX\u7ef4\u5ea6\u7684\u7b2ck\u4e2a\u6570\u636e<\/p>\n<p>\u51cf\u53bb\u4e86X\u7ef4\u5ea6\u7684\u5e73\u5747\u503c\u3002<\/p>\n<p>\u5c06Xk\u8f6c\u6362\u4e3a\u7ef4\u5ea6\u4e2d\u7684\u503c\uff0c\u53ef\u4ee5\u4e3aXki<\/p>\n<p>\u5176\u4e2dk\u4e3a\u884c\uff0ci\u4e3a\u5217\uff0c\u8f6c\u6362\u516c\u5f0f\u4e3a<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"1016\" height=\"276\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-200.png\" class=\"wp-image-5515\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-200.png 1016w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-200-300x81.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-200-768x209.png 768w\" sizes=\"(max-width: 1016px) 100vw, 1016px\" \/><\/p>\n<p>\u518d\u4e4b\u540e\uff0c\u534f\u65b9\u5dee\u77e9\u9635\u5c31\u4f1a\u53d8\u4e3a\u5982\u4e0b\u5f62\u5f0f<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"956\" height=\"240\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-201.png\" class=\"wp-image-5516\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-201.png 956w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-201-300x75.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-201-768x193.png 768w\" sizes=\"(max-width: 956px) 100vw, 956px\" \/><\/p>\n<p>\u5e76\u4e14\u7531\u4e8e cov\uff08X2\uff0cX1\uff09\u548ccov\uff08X1\uff0cX2\uff09\u5177\u6709\u5bf9\u79f0\u6027\uff0c\u6240\u4ee5cov\u662f\u4e00\u4e2a\u5bf9\u79f0\u77e9\u9635\uff0c\u5728\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u503c\u5c31\u662f\u5404\u7ef4\u7279\u5f81\u7684\u65b9\u5dee\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e0a\u9762\u5f97\u5230\u7684\u77e9\u9635\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97\u5176\u534f\u65b9\u5dee\u77e9\u9635<\/p>\n<p>\u7b2c\u4e00\u7ef4\u5ea6\u7684\u65b9\u5dee\u4e3a<br \/>\n  <img decoding=\"async\" loading=\"lazy\" width=\"796\" height=\"96\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-202.png\" class=\"wp-image-5517\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-202.png 796w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-202-300x36.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-202-768x93.png 768w\" sizes=\"(max-width: 796px) 100vw, 796px\" \/><\/p>\n<p>\u7b2c\u4e00\u7ef4\u5ea6\u548c\u7b2c\u4e8c\u7ef4\u5ea6\u7684\u534f\u65b9\u5dee\u4e3a<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"938\" height=\"86\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-203.png\" class=\"wp-image-5518\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-203.png 938w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-203-300x28.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-203-768x70.png 768w\" sizes=\"(max-width: 938px) 100vw, 938px\" \/><\/p>\n<p>\u5f97\u5230\u4e86\u534f\u65b9\u5dee\u77e9\u9635<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"972\" height=\"374\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-204.png\" class=\"wp-image-5519\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-204.png 972w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-204-300x115.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-204-768x296.png 768w\" sizes=\"(max-width: 972px) 100vw, 972px\" \/><\/p>\n<p>\u4e4b\u540e\u6211\u4eec\u5c31\u53ef\u4ee5\u89e3\u534f\u65b9\u5dee\u77e9\u9635\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u60f3\u6765\u90a3\u4e2a<\/p>\n<ol>\n<li>\n  \u8ba1\u7b97\u534f\u65b9\u5dee\u77e9\u9635\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf<\/li>\n<\/ol>\n<p>\u8fd9\u91cc\u7684\u7279\u5f81\u5411\u91cf\u548c\u6211\u4eec\u8bf4\u8fc7\u7684\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u7279\u5f81\u5411\u91cf\u5e76\u4e0d\u662f\u4e00\u56de\u4e8b\uff0c\u4f46\u662f\u5728\u8fd9\u91cc\u6211\u4eec\u5148\u7ed9\u4e00\u4e2a\u8ba1\u7b97\u516c\u5f0f\u3002<\/p>\n<p>Xv=\u03bbv<\/p>\n<p>\u5176\u4e2dv\u662fX\u7684\u7279\u5f81\u5411\u91cf\uff0c\u03bb\u662f\u5bf9\u5e94X\u7684\u7279\u5f81\u503c\uff0c\u6240\u4ee5<\/p>\n<p>(X\u2212\u03bbI)v=0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"1016\" height=\"368\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-205.png\" class=\"wp-image-5520\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-205.png 1016w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-205-300x109.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-205-768x278.png 768w\" sizes=\"(max-width: 1016px) 100vw, 1016px\" \/><\/p>\n<p>\u5e76\u8ba1\u7b97\u884c\u5217\u5f0f<\/p>\n<p>(x1,1\u200b\u2212\u03bb)(x2,2\u200b\u2212\u03bb)\u2026(xn,n\u200b\u2212\u03bb)+x1,2\u200bx2,3\u200b\u2026xn\u22121,n\u200bxn,1\u200b+\u2026)\u2212(xn,1\u200bxn\u22121,2\u200b\u2026x2,n\u22121\u200bx1,n\u200b)=0<\/p>\n<p>\u901a\u8fc7\u8fd9\u4e2a\u65b9\u7a0b\u5f0f\uff0c\u5f97\u5230\u591a\u4e2a\u89e3\uff0c\u5e76\u8ba1\u7b97\u7279\u5f81\u503c\u3002<\/p>\n<p>\u5c06\u4e0a\u8ff0\u7684\u534f\u65b9\u5dee\u77e9\u9635\u5e26\u5165\u4e0a\u8ff0\u516c\u5f0f\u5f97\u5230<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"1210\" height=\"90\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-206.png\" class=\"wp-image-5521\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-206.png 1210w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-206-300x22.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-206-1024x76.png 1024w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-206-768x57.png 768w\" sizes=\"(max-width: 1210px) 100vw, 1210px\" \/><\/p>\n<p>\u5f97\u5230<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" width=\"604\" height=\"190\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-207.png\" class=\"wp-image-5522\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-207.png 604w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-207-300x94.png 300w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><\/p>\n<p>\u4e8e\u662f\u5176\u5177\u6709\u4e09\u4e2a\u8fd1\u4f3c\u89e3\uff0c\u5206\u522b\u4e3a0\uff0c0.0777\u548c4.4223<\/p>\n<p>\u5c06\u8fd9\u4e09\u4e2a\u7279\u5f81\u503c\u5e26\u5165\u539f\u65b9\u7a0b\uff0c\u5f97\u5230\u7279\u5f81\u5411\u91cf<\/p>\n<p>\u8fd9\u91cc\u8865\u5145\u4e0b\u5982\u4f55\u901a\u8fc7\u7279\u5f81\u503c\u5f97\u5230\u7279\u5f81\u5411\u91cf<\/p>\n<p>\u6bd4\u59820.0777\uff0c\u8fd9\u91cc\u53ef\u4ee5\u5e26\u5165\u4e0a\u9762\u7684\u77e9\u9635<\/p>\n<p>[1.5 \u2013 0.777, 1.499,-1.499]<\/p>\n<p>[1.499, 1.5 \u2013 0.777,-1.435]<\/p>\n<p>[-1.499, -1.435,1.5 \u2013 0.777]<\/p>\n<p>\u5de6\u4e58\u4e00\u4e2a<\/p>\n<p>[x1]<\/p>\n<p>[x2]<\/p>\n<p>[x3]<\/p>\n<p>\u4ee4\u5176\u4e3a<\/p>\n<p>[0]<\/p>\n<p>[0]<\/p>\n<p>[0]<\/p>\n<p>\u5f97\u5230\u65b9\u7a0b\uff0c\u5176\u4e2d\u5305\u542bx1 x2 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decoding=\"async\" loading=\"lazy\" width=\"1492\" height=\"288\" src=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-209.png\" class=\"wp-image-5524\" srcset=\"http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-209.png 1492w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-209-300x58.png 300w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-209-1024x198.png 1024w, http:\/\/xinblog.ltd\/wp-content\/uploads\/2025\/01\/word-image-209-768x148.png 768w\" sizes=\"(max-width: 1492px) 100vw, 1492px\" \/><br \/>\n  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