<\/title><br \/>\n<meta charset=\"utf-8\"><br \/>\n<meta name=\"viewport\" content=\"width=device-width,initial-scale=1.0,maximum-scale=1.0,user-scalable=0,viewport-fit=cover\"><\/p>\n<style>\n*{margin:0;padding:0}html{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;line-height:1.6}img{z-index:999;position:relative;max-width:100%;margin:10px 0;}body{letter-spacing:.034em}h1,h2,h3,h4,h5,h6{font-weight:400;font-size:16px}a{color:#576b95;text-decoration:none;-webkit-tap-highlight-color:rgba(0,0,0,0)}td,th{word-wrap:break-word;padding:5px 10px;border:1px solid #DDD;}table{margin-bottom:10px;border-collapse:collapse;display:table;width:100%!important;}.appmsg_skin_default .rich_media_area_primary{background-color:#fff}.appmsg_skin_default .rich_media_area_primary .weui-loadmore_line .weui-loadmore__tips{background-color:#fff}.rich_media_area_primary{padding:20px 16px 12px;background-color:#fafafa}@media (max-width:375px){.rich_media_area_primary{padding:20px 60px 15px 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bottom;width: auto;min-width: 5%;flex: 0 0 auto;height: auto;padding-right: 13px;align-self: flex-end;\">\n<section style=\"line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;width: 25.2734px;height: auto;\"><\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 auto;min-width: 5%;height: auto;padding: 9px;background-color: rgb(249, 172, 172);\">\n<section style=\"text-align: justify;color: rgb(255, 255, 255);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><strong> \u70b9\u51fb\u84dd\u5b57<\/strong><\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 auto;min-width: 5%;height: auto;padding: 9px;background-color: rgba(255, 195, 195, 0.51);\">\n<section style=\"text-align: justify;color: rgb(144, 104, 60);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><strong>\u5173\u6ce8\u6211\u4eec<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u5927\u5bb6\u5728\u5b66\u4e60\u7ebf\u6027\u4ee3\u6570\u65f6\u90fd\u5e94\u8be5\u542c\u8bf4\u8fc7SVD\u5947\u5f02\u503c\u5206\u89e3\uff0c\u8fd9\u662f\u4e00\u79cd\u5e38\u7528\u7684\u77e9\u9635\u5206\u89e3\u6280\u672f\u3002\u4f46\u662f\u4f60\u4eec\u77e5\u9053\u5728\u751f\u7269\u4fe1\u606f\u5b66\u4e2d\uff0cSVD\u5947\u5f02\u503c\u5206\u89e3\u4e5f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6570\u636e\u964d\u7ef4\u5417\uff1f\u5728\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u7684\u5206\u6790\u4e2d\uff0c\u6570\u636e\u901a\u5e38\u662f\u9ad8\u7ef4\u7684\uff0c\u800c\u8fd9\u4e9b\u9ad8\u7ef4\u6570\u636e\u5f80\u5f80\u5f88\u96be\u53ef\u89c6\u5316\u6216\u8005\u89e3\u91ca\u3002\u56e0\u6b64\uff0c\u9700\u8981\u5bf9\u6570\u636e\u8fdb\u884c\u964d\u7ef4\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u4eca\u5929\u5c0f\u5e08\u59b9\u5c31\u7528SVD\u5947\u5f02\u503c\u5206\u89e3\u6765\u5bf9tissuesGeneExpression\u7ec4\u7ec7\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u8fdb\u884c\u964d\u7ef4\u64cd\u4f5c\uff5e\u8be5\u6570\u636e\u4e2d\u5171\u6709\u6837\u672c189\u4e2a\uff0c\u57fa\u56e022,215\u4e2a\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\"><span style=\"color: rgb(239, 135, 135);\"><strong>\u5947\u5f02\u503c\u5206\u89e3\uff08Singular Value Decomposition\uff0c\u7b80\u79f0SVD\uff09<\/strong><\/span>\u662f\u4e00\u79cd\u91cd\u8981\u7684\u77e9\u9635\u5206\u89e3\u65b9\u6cd5\u3002\u5b83\u53ef\u4ee5\u5c06\u4e00\u4e2a\u77e9\u9635\u5206\u89e3\u4e3a\u4e09\u4e2a\u77e9\u9635\u7684\u4e58\u79ef\uff0c\u5176\u4e2d\u5305\u62ec\u5de6\u5947\u5f02\u5411\u91cf\u77e9\u9635U\u3001\u5947\u5f02\u503c\u77e9\u9635D\u548c\u53f3\u5947\u5f02\u5411\u91cf\u77e9\u9635V\u3002\u8fd9\u79cd\u5206\u89e3\u65b9\u6cd5\u4e0d\u4ec5\u53ef\u4ee5\u7528\u6765\u964d\u4f4e\u77e9\u9635\u7684\u7ef4\u5ea6\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u7528\u6765\u63d0\u53d6\u77e9\u9635\u7684\u4e3b\u8981\u7279\u5f81\u3002\u5176\u4e2dU\u548cV\u90fd\u662f\u6b63\u4ea4\u77e9\u9635\uff0c\u800cD\u662f\u5bf9\u89d2\u77e9\u9635\u3002\u5bf9\u89d2\u77e9\u9635D\u7684\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u5c31\u662f\u5947\u5f02\u503c\uff0c\u5947\u5f02\u503c\u6309\u7167\u5927\u5c0f\u987a\u5e8f\u6392\u5217\uff0c\u5947\u5f02\u503c\u8d8a\u5927\uff0c\u5176\u5305\u542b\u7684\u65b9\u5dee\uff08\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a\u4fe1\u606f\uff09\u5219\u8d8a\u5927\u3002<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.375886524822695\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/2_PfGICul2wsv3RDeLPQ6GffJRUvibXw.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37xoG17vbW5fENyFLJaFabyc8YwPfGICul2wsv3RDeLPQ6GffJRUvibXw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"282\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u5728SVD\u4e2d\uff0c\u5947\u5f02\u503c\u4ee3\u8868\u4e86\u77e9\u9635\u7684\u91cd\u8981\u7279\u5f81\uff0c\u800c\u5947\u5f02\u5411\u91cf\u5219\u4ee3\u8868\u4e86\u8fd9\u4e9b\u7279\u5f81\u6240\u5728\u7684\u65b9\u5411\u3002\u901a\u8fc7\u8ba1\u7b97\u5947\u5f02\u503c\u7684\u6570\u91cf\u53ca\u5176\u5bf9\u5e94\u7684\u5947\u5f02\u5411\u91cf\uff0c\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u4e00\u4e2a\u53ef\u4ee5\u8fd1\u4f3c\u4ee3\u66ff\u539f\u77e9\u9635\u7684\u77e9\u9635\uff0c\u800c\u4e14\u8fd1\u4f3c\u77e9\u9635\u5177\u6709\u66f4\u4f4e\u7684\u7ef4\u5ea6\uff0c\u4ece\u800c\u5b9e\u73b0\u4e86\u6570\u636e\u964d\u7ef4\u7684\u76ee\u7684\u3002\u540c\u65f6\uff0c\u7531\u4e8e\u5947\u5f02\u503c\u662f\u6309\u7167\u5927\u5c0f\u6392\u5217\u7684\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u5bf9\u5176\u8fdb\u884c\u622a\u65ad\uff0c\u820d\u5f03\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u5411\u91cf\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6570\u636e\u538b\u7f29\u7684\u6548\u679c\u3002<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u9996\u5148\u6211\u4eec\u8f7d\u5165\u6570\u636e\u4ee5\u53ca\u9700\u8981\u7528\u5230\u7684\u5de5\u5177\u5305<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">library(rafalib)<\/span><\/code><code><span class=\"code-snippet_outer\">library(MASS)<\/span><\/code><code><span class=\"code-snippet_outer\"><br \/><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u52a0\u8f7d\u6570\u636e<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">library(tissuesGeneExpression)<\/span><\/code><code><span class=\"code-snippet_outer\">data(tissuesGeneExpression)<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u4ece\u5305\u542b\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u7684e\u77e9\u9635\u4e2d\u751f\u6210500\u884c(\u57fa\u56e0)\u7684\u968f\u673a\u6837\u672c\u3002Nrow (e)\u8fd4\u56dee\u77e9\u9635\u7684\u884c\u6570\uff0csample()\u968f\u673a\u9009\u62e9500\u4e2a\u884c\u7d22\u5f15\uff08\u4e0d\u8fdb\u884c\u66ff\u6362\uff09<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u4ee5\u786e\u4fdd\u6bcf\u6b21\u8fd0\u884c\u4ee3\u7801\u65f6\u751f\u6210\u76f8\u540c\u7684\u968f\u673a\u6570<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">set.seed(<span class=\"code-snippet__number\">1<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">ind <- sample(nrow(e),<span class=\"code-snippet__number\">500<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">Y <- t(apply(e[ind,],<span class=\"code-snippet__number\">1<\/span>,scale))<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u901a\u8fc7\u7f29\u653e\u6bcf\u4e00\u884c\u4f7f\u5176\u5e73\u5747\u503c\u4e3a0\uff0c\u6807\u51c6\u5dee\u4e3a1\uff0c\u5bf9500\u4e2a\u968f\u673a\u9009\u62e9\u7684\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u8fdb\u884c\u6807\u51c6\u5316\u3002apply()\u51fd\u6570\u5bf9e[ind,]\u77e9\u9635\u7684\u6bcf\u4e00\u884c\u5e94\u7528scale()\u51fd\u6570\uff0ct()\u51fd\u6570\u5bf9\u6240\u5f97\u77e9\u9635\u8fdb\u884c\u8f6c\u7f6e\uff0c\u4f7f\u57fa\u56e0\u5728\u5217\u4e2d\uff0c\u6837\u672c\u5728\u884c\u4e2d\u3002\u73b0\u5728\u5f97\u5230\u7684\u77e9\u9635Y\u53ef\u4ee5\u8fdb\u884cSVD\u5206\u6790\u3002<\/p>\n<section style=\"margin-top: 10px;margin-bottom: 10px;text-align: center;\" powered-by=\"xiumi.us\">\n<section style=\"padding: 3px;display: inline-block;border-bottom: 5px solid rgb(251, 152, 144);\">\n<p><strong>\u4f7f\u7528\u51fd\u6570svd\uff08 \uff09\u8fdb\u884c\u5947\u5f02\u503c\u5206\u89e3<\/strong><\/p>\n<\/section>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">s <- svd(Y)<\/span><\/code><code><span class=\"code-snippet_outer\">U <- s$u<\/span><\/code><code><span class=\"code-snippet_outer\">V <- s$v<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u4f7f\u7528diag\uff08 \uff09\u5c06\u5947\u5f02\u503c\u8f6c\u6362\u6210\u5bf9\u89d2\u77e9\u9635<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">D <- diag(s$d)<\/span><\/code><code><span class=\"code-snippet_outer\"><br \/><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #Yhat\u8868\u793a\u4f7f\u7528SVD\u5206\u89e3\u5bf9\u539f\u59cb\u6570\u636e\u77e9\u9635Y\u7684\u4f4e\u79e9\u903c\u8fd1\u3002<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">Yhat <- U %*% D %*% t(V)<\/span><\/code><code><span class=\"code-snippet_outer\">resid <- Y - Yhat<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__built_in\">max<\/span>(<span class=\"code-snippet__built_in\">abs<\/span>(resid))<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u4ece\u539f\u59cb\u6807\u51c6\u5316\u6570\u636e\u77e9\u9635Y\u4e2d\u51cf\u53bbYhat\u5f97\u5230\u6b8b\u5dee\u77e9\u9635\u3002\u4f7f\u7528max(abs(resid))\u8ba1\u7b97\u6700\u5927\u7edd\u5bf9\u6b8b\u5dee\uff0c\u5b83\u8868\u793a\u539f\u59cb\u6570\u636e\u77e9\u9635Y\u4e0e\u5176\u4f4e\u79e9\u8fd1\u4f3cYhat\u4e4b\u95f4\u7684\u6700\u5927\u504f\u5dee\u3002\u6b8b\u5dee\u53ef\u4ee5\u7528\u6765\u8bc4\u4f30\u8fd1\u4f3c\u7684\u8d28\u91cf\uff0c\u5e76\u786e\u5b9a\u5728\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\u4fdd\u7559\u7684\u9002\u5f53\u7684\u5947\u5f02\u503c\u7684\u6570\u91cf\u3002<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">plot(s$d)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5351851851851852\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/3_7hjRDRib38Seib7tI8TpPc35Mr4WKA.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib3711FzDMqNg0YzAkZDav4f1uB6zY7hjRDRib38Seib7tI8TpPc35Mr4WKA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u8be5\u56fe\u5c06\u6309\u964d\u5e8f\u663e\u793a\u5947\u5f02\u503c\u7684\u503c\u3002x\u8f74\u6309\u964d\u5e8f\u8868\u793a\u5947\u5f02\u503c\u7684\u7d22\u5f15\u3002\u4e5f\u5c31\u662f\u8bf4\uff0cx\u8f74\u4e0a\u7684\u7b2c\u4e00\u4e2a\u70b9\u8868\u793a\u7b2c\u4e00\u4e2a(\u6700\u5927)\u5947\u5f02\u503c\uff0c\u7b2c\u4e8c\u4e2a\u70b9\u8868\u793a\u7b2c\u4e8c\u5927\u5947\u5f02\u503c\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002y\u8f74\u8868\u793a\u5947\u5f02\u503c\u7684\u5927\u5c0f\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u4e00\u4e2a\u5178\u578b\u7684\u5947\u5f02\u503c\u56fe\u4f1a\u663e\u793a\u5947\u5f02\u503c\u7684\u5927\u5c0f\u8fc5\u901f\u4e0b\u964d\uff0c\u5c11\u6570\u5947\u5f02\u503c\u652f\u914d\u5176\u4ed6\u5947\u5f02\u503c\u3002\u8be5\u56fe\u53ef\u7528\u4e8e\u786e\u5b9a\u5728\u539f\u59cb\u6570\u636e\u77e9\u9635\u7684\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\u4fdd\u7559\u7684\u9002\u5f53\u6570\u91cf\u7684\u5947\u5f02\u503c\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u6211\u4eec\u5e0c\u671b\u4fdd\u7559\u8db3\u591f\u7684\u5947\u5f02\u503c\u6765\u6355\u83b7\u6570\u636e\u4e2d\u7684\u5927\u90e8\u5206\u53d8\u5316\uff0c\u4f46\u4e0d\u8981\u592a\u591a\uff0c\u4ee5\u514d\u8fd1\u4f3c\u8fc7\u4e8e\u590d\u6742\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u786e\u5b9a\u5947\u5f02\u503c\u7684\u9002\u5f53\u6570\u91cf\u7684\u4e00\u79cd\u5e38\u7528\u65b9\u6cd5\u662f\u5728\u56fe\u4e2d\u5bfb\u627e\u4e00\u4e2a\u201c\u5f2f\u5934\u201d\uff0c\u5728\u90a3\u91cc\u5947\u5f02\u503c\u7684\u5927\u5c0f\u8fc5\u901f\u4e0b\u964d\u3002\u8098\u90e8\u5de6\u4fa7\u7684\u5947\u5f02\u503c\u4e2a\u6570\u53ef\u4ee5\u4fdd\u7559\u5728\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\uff0c\u800c\u5269\u4f59\u7684\u5947\u5f02\u503c\u53ef\u4ee5\u8bbe\u4e3a\u96f6\u3002\u53e6\u5916\uff0c\u4e00\u79cd\u66f4\u5b9a\u91cf\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u57fa\u4e8e\u4fdd\u7559\u7684\u5947\u5f02\u503c\u6355\u83b7\u7684\u603b\u53d8\u5316\u7684\u9608\u503c\u3002<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">plot(s$d^<span class=\"code-snippet__number\">2<\/span>\/<span class=\"code-snippet__built_in\">sum<\/span>(s$d^<span class=\"code-snippet__number\">2<\/span>)*<span class=\"code-snippet__number\">100<\/span>,ylab=<span class=\"code-snippet__string\">\"Percent variability explained\"<\/span>)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5351851851851852\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/4_jicqvx8G474UyThOGUn1tvsEhPbllQ.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib379Z7yHgguygy6AIicjT8lv4F2vrjicqvx8G474UyThOGUn1tvsEhPbllQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u8fd9\u4e2a\u56fe\u50cf\u8868\u793a\u4e86\u6bcf\u4e2a\u5947\u5f02\u503c\u5305\u542b\u4e86\u767e\u5206\u4e4b\u591a\u5c11\u7684\u4fe1\u606f\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6211\u4eec\u4e5f\u53ef\u4ee5\u901a\u8fc7\u7d2f\u79ef\u56fe\u50cf\u6765\u67e5\u770b<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5583333333333333\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/5_avDwibcj6wqibdLdd9Mwot1yL9XHtw.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37SVSgYeVpJejg3SiaEfnUma2duhTavDwibcj6wqibdLdd9Mwot1yL9XHtw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u53ef\u4ee5\u770b\u5230\uff0c\u6211\u4eec\u4fdd\u7559\u524d30\u4e2a\u7279\u5f81\uff0c\u5c31\u80fd\u4fdd\u7559\u539f\u59cb\u4fe1\u606f\u768480%\uff0c\u4fdd\u7559\u524d100\u4e2a\u5c31\u53ef\u4ee5\u51e0\u4e4e\u4fdd\u7559\u6240\u6709\u4fe1\u606f\uff0c\u8981\u77e5\u9053\u6211\u4eec\u7684\u539f\u59cb\u7ef4\u5ea6\u53ef\u662f189\u4e2a\u7279\u5f81\u54e6\uff01<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6211\u4eec\u53ef\u4ee5\u67e5\u770b\u4e00\u4e0b\u4fdd\u7559\u4e00\u534a\u7279\u5f81\u65f6\u5019\u7684\u60c5\u51b5<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">k <- 95 <span class=\"code-snippet__comment\">##out a possible 189<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">Yhat <- U[,<span class=\"code-snippet__number\">1<\/span>:k] %*% D[<span class=\"code-snippet__number\">1<\/span>:k,<span class=\"code-snippet__number\">1<\/span>:k] %*% t(V[,<span class=\"code-snippet__number\">1<\/span>:k])<\/span><\/code><code><span class=\"code-snippet_outer\">resid <- Y - Yhat<\/span><\/code><code><span class=\"code-snippet_outer\">boxplot(resid,ylim=quantile(Y,<span class=\"code-snippet__built_in\">c<\/span>(<span class=\"code-snippet__number\">0.01<\/span>,<span class=\"code-snippet__number\">0.99<\/span>)),<span class=\"code-snippet__built_in\">range<\/span>=<span class=\"code-snippet__number\">0<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">var(as.vector(resid))\/var(as.vector(Y))<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5222222222222223\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/6_NwqibJqibeP4MzYMcDc1hjpz8F2GaA.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37uvTewaicSVa3Qo2dYldxIicicyWJANwqibJqibeP4MzYMcDc1hjpz8F2GaA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">boxplot()\u51fd\u6570\u7528\u4e8e\u53ef\u89c6\u5316\u6b8b\u5dee\u7684\u5206\u5e03\uff0c\u6b8b\u5dee\u8868\u793a\u539f\u59cb\u6570\u636e\u77e9\u9635\u4e0e\u4f4e\u79e9\u8fd1\u4f3c\u4e4b\u95f4\u7684\u504f\u5dee\u3002ylim\u53c2\u6570\u5c06\u56fe\u7684y\u8f74\u9650\u5236\u8bbe\u7f6e\u4e3a\u539f\u59cb\u6570\u636e\u77e9\u9635\u7684\u7b2c1\u548c\u7b2c99\u4e2a\u767e\u5206\u4f4d\u6570\uff0c\u800crange\u53c2\u6570\u63a7\u5236\u7bb1\u7ebf\u56fe\u7684\u6676\u987b\u957f\u5ea6\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6bd4\u503cvar(as.vector(ressid))\/var(as.vector(Y))\u8868\u793a\u539f\u59cb\u65b9\u5dee\u4e2d\u672a\u88ab\u4f4e\u79e9\u8fd1\u4f3c\u89e3\u91ca\u7684\u6bd4\u4f8b\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u6d4b\u91cf\u7684\u662f\u5728\u8fd1\u4f3c\u8fc7\u7a0b\u4e2d\u4e22\u5931\u7684\u4fe1\u606f\u91cf\u3002\u8fd9\u91cc\u6211\u4eec\u4e22\u5f03\u4e86\u4e00\u534a\u7684\u7279\u5f81\uff0c\u4f46\u662f\u53ea\u4e22\u5931\u4e863%\u7684\u4fe1\u606f\u3002<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.10876132930513595\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/7_aNOpmkCxTZXickbZ2WO1mlib6iaIoQ.png\" 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0;align-items:center}.flex_bd{padding-left:14px;}.account_nickname{display:inline-block;vertical-align:middle;line-height:1.2;color:#576b95;font-size:14px}.account_desc{overflow:hidden;text-overflow:ellipsis;display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:1;color:rgba(0,0,0,0.3);font-size:14px;line-height:1.2;padding-top:.4em}.msg_source_url{text-align:left;word-break:break-all;margin-top:20px;}.msg_source_url a{padding-right:10px;}.msg_source_url .url_text{color:#a8a8a8;}.video-desc{font-size:14px;margin-top:15px;color:#6c6c6c;}.msg_source_url{text-align:left;}.original_primary_card_tips{color:rgba(0,0,0,0.3);line-height:1.4;font-size:15px;}.weui-flex__item{margin-bottom:20px;padding:20px 16px;margin-top:16px;line-height:1.4;align-items:center;background-color:#f7f7f7;border-radius:8px;position:relative;}.original_primary_desc{color:rgba(0,0,0,0.5);font-size:14px;padding-top:4px;width:auto;overflow:hidden;text-overflow:ellipsis;}.msgBodyReplyList{border-top:1px 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rich_media_meta_nickname\" id=\"profileBt\"><a href=\"javascript:void(0);\" class=\"wx_tap_link js_wx_tap_highlight weui-wa-hotarea\" id=\"js_name\">\u751f\u4fe1\u679c <\/a><\/span><em id=\"publish_time\" class=\"rich_media_meta rich_media_meta_text\">2023-07-24 19:02:20<\/em><\/div>\n<p><content><\/p>\n<div class=\"reprint\">\n<p>\u8f6c\u81ea\u516c\u4f17\u53f7\uff1aR\u8bed\u8a00\u5b66\u5f92<br \/><a href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&mid=2247484611&idx=1&sn=3403cb32b45e1f7c2e14f3315e3a07e5\" target=\"_blank\" title=\"\u9605\u8bfb\u539f\u6587\" rel=\"noopener\">http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&mid=2247484611&idx=1&sn=3403cb32b45e1f7c2e14f3315e3a07e5<\/a><\/p>\n<\/div>\n<section style=\"font-size: 16px;margin-bottom: 24px;\">\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row nowrap;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;min-width: 5%;flex: 0 0 auto;height: auto;padding-right: 13px;align-self: flex-end;\">\n<section style=\"line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;width: 25.2734px;height: auto;\"><\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 auto;min-width: 5%;height: auto;padding: 9px;background-color: rgb(249, 172, 172);\">\n<section style=\"text-align: justify;color: rgb(255, 255, 255);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><strong> \u70b9\u51fb\u84dd\u5b57<\/strong><\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: bottom;width: auto;align-self: flex-end;flex: 0 0 auto;min-width: 5%;height: auto;padding: 9px;background-color: rgba(255, 195, 195, 0.51);\">\n<section style=\"text-align: justify;color: rgb(144, 104, 60);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><strong>\u5173\u6ce8\u6211\u4eec<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u5927\u5bb6\u5728\u5b66\u4e60\u7ebf\u6027\u4ee3\u6570\u65f6\u90fd\u5e94\u8be5\u542c\u8bf4\u8fc7SVD\u5947\u5f02\u503c\u5206\u89e3\uff0c\u8fd9\u662f\u4e00\u79cd\u5e38\u7528\u7684\u77e9\u9635\u5206\u89e3\u6280\u672f\u3002\u4f46\u662f\u4f60\u4eec\u77e5\u9053\u5728\u751f\u7269\u4fe1\u606f\u5b66\u4e2d\uff0cSVD\u5947\u5f02\u503c\u5206\u89e3\u4e5f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6570\u636e\u964d\u7ef4\u5417\uff1f\u5728\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u7684\u5206\u6790\u4e2d\uff0c\u6570\u636e\u901a\u5e38\u662f\u9ad8\u7ef4\u7684\uff0c\u800c\u8fd9\u4e9b\u9ad8\u7ef4\u6570\u636e\u5f80\u5f80\u5f88\u96be\u53ef\u89c6\u5316\u6216\u8005\u89e3\u91ca\u3002\u56e0\u6b64\uff0c\u9700\u8981\u5bf9\u6570\u636e\u8fdb\u884c\u964d\u7ef4\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u4eca\u5929\u5c0f\u5e08\u59b9\u5c31\u7528SVD\u5947\u5f02\u503c\u5206\u89e3\u6765\u5bf9tissuesGeneExpression\u7ec4\u7ec7\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u8fdb\u884c\u964d\u7ef4\u64cd\u4f5c\uff5e\u8be5\u6570\u636e\u4e2d\u5171\u6709\u6837\u672c189\u4e2a\uff0c\u57fa\u56e022,215\u4e2a\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\"><span style=\"color: rgb(239, 135, 135);\"><strong>\u5947\u5f02\u503c\u5206\u89e3\uff08Singular Value Decomposition\uff0c\u7b80\u79f0SVD\uff09<\/strong><\/span>\u662f\u4e00\u79cd\u91cd\u8981\u7684\u77e9\u9635\u5206\u89e3\u65b9\u6cd5\u3002\u5b83\u53ef\u4ee5\u5c06\u4e00\u4e2a\u77e9\u9635\u5206\u89e3\u4e3a\u4e09\u4e2a\u77e9\u9635\u7684\u4e58\u79ef\uff0c\u5176\u4e2d\u5305\u62ec\u5de6\u5947\u5f02\u5411\u91cf\u77e9\u9635U\u3001\u5947\u5f02\u503c\u77e9\u9635D\u548c\u53f3\u5947\u5f02\u5411\u91cf\u77e9\u9635V\u3002\u8fd9\u79cd\u5206\u89e3\u65b9\u6cd5\u4e0d\u4ec5\u53ef\u4ee5\u7528\u6765\u964d\u4f4e\u77e9\u9635\u7684\u7ef4\u5ea6\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u7528\u6765\u63d0\u53d6\u77e9\u9635\u7684\u4e3b\u8981\u7279\u5f81\u3002\u5176\u4e2dU\u548cV\u90fd\u662f\u6b63\u4ea4\u77e9\u9635\uff0c\u800cD\u662f\u5bf9\u89d2\u77e9\u9635\u3002\u5bf9\u89d2\u77e9\u9635D\u7684\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u5c31\u662f\u5947\u5f02\u503c\uff0c\u5947\u5f02\u503c\u6309\u7167\u5927\u5c0f\u987a\u5e8f\u6392\u5217\uff0c\u5947\u5f02\u503c\u8d8a\u5927\uff0c\u5176\u5305\u542b\u7684\u65b9\u5dee\uff08\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a\u4fe1\u606f\uff09\u5219\u8d8a\u5927\u3002<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" data-ratio=\"0.375886524822695\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/2_PfGICul2wsv3RDeLPQ6GffJRUvibXw.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37xoG17vbW5fENyFLJaFabyc8YwPfGICul2wsv3RDeLPQ6GffJRUvibXw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"282\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u5728SVD\u4e2d\uff0c\u5947\u5f02\u503c\u4ee3\u8868\u4e86\u77e9\u9635\u7684\u91cd\u8981\u7279\u5f81\uff0c\u800c\u5947\u5f02\u5411\u91cf\u5219\u4ee3\u8868\u4e86\u8fd9\u4e9b\u7279\u5f81\u6240\u5728\u7684\u65b9\u5411\u3002\u901a\u8fc7\u8ba1\u7b97\u5947\u5f02\u503c\u7684\u6570\u91cf\u53ca\u5176\u5bf9\u5e94\u7684\u5947\u5f02\u5411\u91cf\uff0c\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u4e00\u4e2a\u53ef\u4ee5\u8fd1\u4f3c\u4ee3\u66ff\u539f\u77e9\u9635\u7684\u77e9\u9635\uff0c\u800c\u4e14\u8fd1\u4f3c\u77e9\u9635\u5177\u6709\u66f4\u4f4e\u7684\u7ef4\u5ea6\uff0c\u4ece\u800c\u5b9e\u73b0\u4e86\u6570\u636e\u964d\u7ef4\u7684\u76ee\u7684\u3002\u540c\u65f6\uff0c\u7531\u4e8e\u5947\u5f02\u503c\u662f\u6309\u7167\u5927\u5c0f\u6392\u5217\u7684\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u5bf9\u5176\u8fdb\u884c\u622a\u65ad\uff0c\u820d\u5f03\u4e0d\u91cd\u8981\u7684\u7279\u5f81\u5411\u91cf\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6570\u636e\u538b\u7f29\u7684\u6548\u679c\u3002<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u9996\u5148\u6211\u4eec\u8f7d\u5165\u6570\u636e\u4ee5\u53ca\u9700\u8981\u7528\u5230\u7684\u5de5\u5177\u5305<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">library(rafalib)<\/span><\/code><code><span class=\"code-snippet_outer\">library(MASS)<\/span><\/code><code><span class=\"code-snippet_outer\"><br \/><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u52a0\u8f7d\u6570\u636e<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">library(tissuesGeneExpression)<\/span><\/code><code><span class=\"code-snippet_outer\">data(tissuesGeneExpression)<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u4ece\u5305\u542b\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u7684e\u77e9\u9635\u4e2d\u751f\u6210500\u884c(\u57fa\u56e0)\u7684\u968f\u673a\u6837\u672c\u3002Nrow (e)\u8fd4\u56dee\u77e9\u9635\u7684\u884c\u6570\uff0csample()\u968f\u673a\u9009\u62e9500\u4e2a\u884c\u7d22\u5f15\uff08\u4e0d\u8fdb\u884c\u66ff\u6362\uff09<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u4ee5\u786e\u4fdd\u6bcf\u6b21\u8fd0\u884c\u4ee3\u7801\u65f6\u751f\u6210\u76f8\u540c\u7684\u968f\u673a\u6570<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">set.seed(<span class=\"code-snippet__number\">1<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">ind <- sample(nrow(e),<span class=\"code-snippet__number\">500<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">Y <- t(apply(e[ind,],<span class=\"code-snippet__number\">1<\/span>,scale))<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u901a\u8fc7\u7f29\u653e\u6bcf\u4e00\u884c\u4f7f\u5176\u5e73\u5747\u503c\u4e3a0\uff0c\u6807\u51c6\u5dee\u4e3a1\uff0c\u5bf9500\u4e2a\u968f\u673a\u9009\u62e9\u7684\u57fa\u56e0\u8868\u8fbe\u6570\u636e\u8fdb\u884c\u6807\u51c6\u5316\u3002apply()\u51fd\u6570\u5bf9e[ind,]\u77e9\u9635\u7684\u6bcf\u4e00\u884c\u5e94\u7528scale()\u51fd\u6570\uff0ct()\u51fd\u6570\u5bf9\u6240\u5f97\u77e9\u9635\u8fdb\u884c\u8f6c\u7f6e\uff0c\u4f7f\u57fa\u56e0\u5728\u5217\u4e2d\uff0c\u6837\u672c\u5728\u884c\u4e2d\u3002\u73b0\u5728\u5f97\u5230\u7684\u77e9\u9635Y\u53ef\u4ee5\u8fdb\u884cSVD\u5206\u6790\u3002<\/p>\n<section style=\"margin-top: 10px;margin-bottom: 10px;text-align: center;\" powered-by=\"xiumi.us\">\n<section style=\"padding: 3px;display: inline-block;border-bottom: 5px solid rgb(251, 152, 144);\">\n<p><strong>\u4f7f\u7528\u51fd\u6570svd\uff08 \uff09\u8fdb\u884c\u5947\u5f02\u503c\u5206\u89e3<\/strong><\/p>\n<\/section>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">s <- svd(Y)<\/span><\/code><code><span class=\"code-snippet_outer\">U <- s$u<\/span><\/code><code><span class=\"code-snippet_outer\">V <- s$v<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #\u4f7f\u7528diag\uff08 \uff09\u5c06\u5947\u5f02\u503c\u8f6c\u6362\u6210\u5bf9\u89d2\u77e9\u9635<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">D <- diag(s$d)<\/span><\/code><code><span class=\"code-snippet_outer\"><br \/><\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__comment\"># #Yhat\u8868\u793a\u4f7f\u7528SVD\u5206\u89e3\u5bf9\u539f\u59cb\u6570\u636e\u77e9\u9635Y\u7684\u4f4e\u79e9\u903c\u8fd1\u3002<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">Yhat <- U %*% D %*% t(V)<\/span><\/code><code><span class=\"code-snippet_outer\">resid <- Y - Yhat<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__built_in\">max<\/span>(<span class=\"code-snippet__built_in\">abs<\/span>(resid))<\/span><\/code><\/pre>\n<\/section>\n<p style=\"white-space: normal;\" powered-by=\"xiumi.us\">\u4ece\u539f\u59cb\u6807\u51c6\u5316\u6570\u636e\u77e9\u9635Y\u4e2d\u51cf\u53bbYhat\u5f97\u5230\u6b8b\u5dee\u77e9\u9635\u3002\u4f7f\u7528max(abs(resid))\u8ba1\u7b97\u6700\u5927\u7edd\u5bf9\u6b8b\u5dee\uff0c\u5b83\u8868\u793a\u539f\u59cb\u6570\u636e\u77e9\u9635Y\u4e0e\u5176\u4f4e\u79e9\u8fd1\u4f3cYhat\u4e4b\u95f4\u7684\u6700\u5927\u504f\u5dee\u3002\u6b8b\u5dee\u53ef\u4ee5\u7528\u6765\u8bc4\u4f30\u8fd1\u4f3c\u7684\u8d28\u91cf\uff0c\u5e76\u786e\u5b9a\u5728\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\u4fdd\u7559\u7684\u9002\u5f53\u7684\u5947\u5f02\u503c\u7684\u6570\u91cf\u3002<\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">plot(s$d)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5351851851851852\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/3_7hjRDRib38Seib7tI8TpPc35Mr4WKA.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib3711FzDMqNg0YzAkZDav4f1uB6zY7hjRDRib38Seib7tI8TpPc35Mr4WKA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u8be5\u56fe\u5c06\u6309\u964d\u5e8f\u663e\u793a\u5947\u5f02\u503c\u7684\u503c\u3002x\u8f74\u6309\u964d\u5e8f\u8868\u793a\u5947\u5f02\u503c\u7684\u7d22\u5f15\u3002\u4e5f\u5c31\u662f\u8bf4\uff0cx\u8f74\u4e0a\u7684\u7b2c\u4e00\u4e2a\u70b9\u8868\u793a\u7b2c\u4e00\u4e2a(\u6700\u5927)\u5947\u5f02\u503c\uff0c\u7b2c\u4e8c\u4e2a\u70b9\u8868\u793a\u7b2c\u4e8c\u5927\u5947\u5f02\u503c\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002y\u8f74\u8868\u793a\u5947\u5f02\u503c\u7684\u5927\u5c0f\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u4e00\u4e2a\u5178\u578b\u7684\u5947\u5f02\u503c\u56fe\u4f1a\u663e\u793a\u5947\u5f02\u503c\u7684\u5927\u5c0f\u8fc5\u901f\u4e0b\u964d\uff0c\u5c11\u6570\u5947\u5f02\u503c\u652f\u914d\u5176\u4ed6\u5947\u5f02\u503c\u3002\u8be5\u56fe\u53ef\u7528\u4e8e\u786e\u5b9a\u5728\u539f\u59cb\u6570\u636e\u77e9\u9635\u7684\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\u4fdd\u7559\u7684\u9002\u5f53\u6570\u91cf\u7684\u5947\u5f02\u503c\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u6211\u4eec\u5e0c\u671b\u4fdd\u7559\u8db3\u591f\u7684\u5947\u5f02\u503c\u6765\u6355\u83b7\u6570\u636e\u4e2d\u7684\u5927\u90e8\u5206\u53d8\u5316\uff0c\u4f46\u4e0d\u8981\u592a\u591a\uff0c\u4ee5\u514d\u8fd1\u4f3c\u8fc7\u4e8e\u590d\u6742\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u786e\u5b9a\u5947\u5f02\u503c\u7684\u9002\u5f53\u6570\u91cf\u7684\u4e00\u79cd\u5e38\u7528\u65b9\u6cd5\u662f\u5728\u56fe\u4e2d\u5bfb\u627e\u4e00\u4e2a\u201c\u5f2f\u5934\u201d\uff0c\u5728\u90a3\u91cc\u5947\u5f02\u503c\u7684\u5927\u5c0f\u8fc5\u901f\u4e0b\u964d\u3002\u8098\u90e8\u5de6\u4fa7\u7684\u5947\u5f02\u503c\u4e2a\u6570\u53ef\u4ee5\u4fdd\u7559\u5728\u4f4e\u79e9\u8fd1\u4f3c\u4e2d\uff0c\u800c\u5269\u4f59\u7684\u5947\u5f02\u503c\u53ef\u4ee5\u8bbe\u4e3a\u96f6\u3002\u53e6\u5916\uff0c\u4e00\u79cd\u66f4\u5b9a\u91cf\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u57fa\u4e8e\u4fdd\u7559\u7684\u5947\u5f02\u503c\u6355\u83b7\u7684\u603b\u53d8\u5316\u7684\u9608\u503c\u3002<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">plot(s$d^<span class=\"code-snippet__number\">2<\/span>\/<span class=\"code-snippet__built_in\">sum<\/span>(s$d^<span class=\"code-snippet__number\">2<\/span>)*<span class=\"code-snippet__number\">100<\/span>,ylab=<span class=\"code-snippet__string\">\"Percent variability explained\"<\/span>)<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5351851851851852\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/4_jicqvx8G474UyThOGUn1tvsEhPbllQ.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib379Z7yHgguygy6AIicjT8lv4F2vrjicqvx8G474UyThOGUn1tvsEhPbllQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u8fd9\u4e2a\u56fe\u50cf\u8868\u793a\u4e86\u6bcf\u4e2a\u5947\u5f02\u503c\u5305\u542b\u4e86\u767e\u5206\u4e4b\u591a\u5c11\u7684\u4fe1\u606f\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6211\u4eec\u4e5f\u53ef\u4ee5\u901a\u8fc7\u7d2f\u79ef\u56fe\u50cf\u6765\u67e5\u770b<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5583333333333333\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/5_avDwibcj6wqibdLdd9Mwot1yL9XHtw.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37SVSgYeVpJejg3SiaEfnUma2duhTavDwibcj6wqibdLdd9Mwot1yL9XHtw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u53ef\u4ee5\u770b\u5230\uff0c\u6211\u4eec\u4fdd\u7559\u524d30\u4e2a\u7279\u5f81\uff0c\u5c31\u80fd\u4fdd\u7559\u539f\u59cb\u4fe1\u606f\u768480%\uff0c\u4fdd\u7559\u524d100\u4e2a\u5c31\u53ef\u4ee5\u51e0\u4e4e\u4fdd\u7559\u6240\u6709\u4fe1\u606f\uff0c\u8981\u77e5\u9053\u6211\u4eec\u7684\u539f\u59cb\u7ef4\u5ea6\u53ef\u662f189\u4e2a\u7279\u5f81\u54e6\uff01<br \/><\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6211\u4eec\u53ef\u4ee5\u67e5\u770b\u4e00\u4e0b\u4fdd\u7559\u4e00\u534a\u7279\u5f81\u65f6\u5019\u7684\u60c5\u51b5<\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"r\"><code><span class=\"code-snippet_outer\">k <- 95 <span class=\"code-snippet__comment\">##out a possible 189<\/span><\/span><\/code><code><span class=\"code-snippet_outer\">Yhat <- U[,<span class=\"code-snippet__number\">1<\/span>:k] %*% D[<span class=\"code-snippet__number\">1<\/span>:k,<span class=\"code-snippet__number\">1<\/span>:k] %*% t(V[,<span class=\"code-snippet__number\">1<\/span>:k])<\/span><\/code><code><span class=\"code-snippet_outer\">resid <- Y - Yhat<\/span><\/code><code><span class=\"code-snippet_outer\">boxplot(resid,ylim=quantile(Y,<span class=\"code-snippet__built_in\">c<\/span>(<span class=\"code-snippet__number\">0.01<\/span>,<span class=\"code-snippet__number\">0.99<\/span>)),<span class=\"code-snippet__built_in\">range<\/span>=<span class=\"code-snippet__number\">0<\/span>)<\/span><\/code><code><span class=\"code-snippet_outer\">var(as.vector(resid))\/var(as.vector(Y))<\/span><\/code><\/pre>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5222222222222223\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/6_NwqibJqibeP4MzYMcDc1hjpz8F2GaA.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37uvTewaicSVa3Qo2dYldxIicicyWJANwqibJqibeP4MzYMcDc1hjpz8F2GaA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">boxplot()\u51fd\u6570\u7528\u4e8e\u53ef\u89c6\u5316\u6b8b\u5dee\u7684\u5206\u5e03\uff0c\u6b8b\u5dee\u8868\u793a\u539f\u59cb\u6570\u636e\u77e9\u9635\u4e0e\u4f4e\u79e9\u8fd1\u4f3c\u4e4b\u95f4\u7684\u504f\u5dee\u3002ylim\u53c2\u6570\u5c06\u56fe\u7684y\u8f74\u9650\u5236\u8bbe\u7f6e\u4e3a\u539f\u59cb\u6570\u636e\u77e9\u9635\u7684\u7b2c1\u548c\u7b2c99\u4e2a\u767e\u5206\u4f4d\u6570\uff0c\u800crange\u53c2\u6570\u63a7\u5236\u7bb1\u7ebf\u56fe\u7684\u6676\u987b\u957f\u5ea6\u3002<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u6bd4\u503cvar(as.vector(ressid))\/var(as.vector(Y))\u8868\u793a\u539f\u59cb\u65b9\u5dee\u4e2d\u672a\u88ab\u4f4e\u79e9\u8fd1\u4f3c\u89e3\u91ca\u7684\u6bd4\u4f8b\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u6d4b\u91cf\u7684\u662f\u5728\u8fd1\u4f3c\u8fc7\u7a0b\u4e2d\u4e22\u5931\u7684\u4fe1\u606f\u91cf\u3002\u8fd9\u91cc\u6211\u4eec\u4e22\u5f03\u4e86\u4e00\u534a\u7684\u7279\u5f81\uff0c\u4f46\u662f\u53ea\u4e22\u5931\u4e863%\u7684\u4fe1\u606f\u3002<\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.10876132930513595\" data-s=\"300,640\" src=\"http:\/\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/7_aNOpmkCxTZXickbZ2WO1mlib6iaIoQ.png\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEUjdoBddx5GKvIWC7Zs3ib37SXEf53oMYVKSjxg3QLtPaEEV1aDaNOpmkCxTZXickbZ2WO1mlib6iaIoQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"662\" style=\"vertical-align: middle;width: 100%;\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">\u901a\u8fc7\u8fd9\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230SVD\u5947\u5f02\u503c\u5206\u89e3\u867d\u7136\u662f\u57fa\u7840\u7684\u7ebf\u6027\u4ee3\u6570\u77e5\u8bc6\uff0c\u4f46\u662f\u5728\u751f\u7269\u4fe1\u606f\u5206\u6790\u7684\u964d\u7ef4\u5e94\u7528\u4e2d\u4e5f\u662f\u975e\u5e38\u4e0d\u9519\u7684\u9009\u62e9\uff5e\u4e0b\u4e00\u8282\uff0c\u5c0f\u5e08\u59b9\u5c06\u7ed9\u5927\u5bb6\u5e26\u6765\u4ee5SVD\u4e3a\u57fa\u7840\u7684\u591a\u7ef4\u5c3a\u5ea6\u53d8\u6362\uff08Multi-Dimensional Scaling\uff09\uff0c\u5404\u4f4d\u656c\u8bf7\u671f\u5f85\uff5e<\/p>\n<p style=\"white-space: normal;\"><br \/><\/p>\n<p style=\"white-space: normal;\">\u66f4\u591a\u5b9e\u7528\u65b9\u4fbf\u7684\u5c0f\u5de5\u5177\u5728\u4e91\u751f\u4fe1\u5e73\u53f0\u7b49\u7740\u4f60\u54e6\uff5e<\/p>\n<p style=\"white-space: normal;\">http:\/\/www.biocloudservice.com\/home.html<\/p>\n<\/section>\n<section style=\"text-align: center;justify-content: center;display: flex;flex-flow: row nowrap;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: middle;width: auto;flex: 100 100 0%;height: auto;align-self: center;margin-right: 10px;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"background-color: rgb(249, 172, 172);height: 1px;\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: middle;width: auto;align-self: center;flex: 0 0 auto;min-width: 5%;height: auto;border-style: solid;border-width: 1px;border-color: rgb(249, 172, 172);padding-right: 8px;padding-left: 8px;margin-right: 10px;\">\n<section style=\"text-align: justify;color: rgb(249, 172, 172);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">E<\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: middle;width: auto;align-self: center;flex: 0 0 auto;min-width: 5%;height: auto;border-style: solid;border-width: 1px;border-color: rgb(249, 172, 172);padding-right: 8px;padding-left: 8px;margin-right: 10px;\">\n<section style=\"text-align: justify;color: rgb(249, 172, 172);\" powered-by=\"xiumi.us\">\n<p style=\"white-space: normal;\">N<\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: middle;width: auto;align-self: center;flex: 0 0 auto;min-width: 5%;height: auto;border-style: solid;border-width: 1px;border-color: rgb(249, 172, 172);padding-right: 8px;padding-left: 8px;margin-right: 10px;\">\n<section style=\"text-align: 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