{"id":3154,"date":"2025-08-17T09:22:12","date_gmt":"2025-08-17T01:22:12","guid":{"rendered":"https:\/\/www.leexinghai.com\/aic\/?p=3154"},"modified":"2025-08-17T10:41:37","modified_gmt":"2025-08-17T02:41:37","slug":"2-13%e8%af%86%e5%88%ab%e7%b3%bb%e7%bb%9f%e7%9a%84%e6%80%a7%e8%83%bd%e5%ba%a6%e9%87%8f","status":"publish","type":"post","link":"https:\/\/www.leexinghai.com\/aic\/2-13%e8%af%86%e5%88%ab%e7%b3%bb%e7%bb%9f%e7%9a%84%e6%80%a7%e8%83%bd%e5%ba%a6%e9%87%8f\/","title":{"rendered":"2.13\u8bc6\u522b\u7cfb\u7edf\u7684\u6027\u80fd\u5ea6\u91cf"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\ud83d\udccc<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">\u5355\u7eaf\u7528\u8bc6\u522b\u7387\u5224\u65ad\u7cfb\u7edf\u7684\u6027\u80fd\u597d\u574f\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002<\/mark><\/h2>\n\n\n\n<p>\u8fd9\u65f6\u5019\u5c31\u9700\u8981\u7528\u5230\u6df7\u6dc6\u77e9\u9635\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u9884\u6d4b<\/td><td><\/td><td>\u6b63\u5411<\/td><td><\/td><td>\u8d1f\u5411<\/td><td><\/td><\/tr><tr><td>\u5b9e<\/td><td>\u6b63\u5411<\/td><td>TP<\/td><td>+<\/td><td>FN<\/td><td>=1<\/td><\/tr><tr><td>\u9645<\/td><td>\u8d1f\u5411<\/td><td>FP<\/td><td>+<\/td><td>TN<\/td><td>=1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>TP:\u6b63\u5411\u8bc6\u522b\u4e3a\u6b63\u5411\u7ed3\u679c<\/p>\n\n\n\n<p>FN\uff1a\u6b63\u5411\u8bc6\u522b\u4e3a\u8d1f\u5411\u7ed3\u679c<\/p>\n\n\n\n<p>FP\uff1a\u8d1f\u5411\u8bc6\u522b\u4e3a\u6b63\u5411\u7ed3\u679c<\/p>\n\n\n\n<p>TN\uff1a\u8d1f\u5411\u8bc6\u522b\u4e3a\u8d1f\u5411\u7ed3\u679c\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u770b\u5230\u53ea\u6709TP,TN\u662f<strong>\u671f\u671b\u7684\u60c5\u5f62<\/strong>\u3002\u56e0\u4e3a\u4ed6\u4eec\u628a\u5b9e\u9645\u7684\u4e1c\u897f\u6b63\u786e\u8bc6\u522b\u5230\u4e86\u3002<\/p>\n\n\n\n<p>\u5bb9\u6613\u5f97\u5230\u778e\u731c\u7684\u6982\u7387\uff1a<strong> (FP+FN)\/(TP+TN+FP+FN)<\/strong><\/p>\n\n\n\n<p><strong>TPR\uff08\u771f\u6b63\u7387 \/ Recall\uff09<\/strong> TPR=TP\/\uff08TP+FN\uff09<\/p>\n\n\n\n<p><strong>FPR\uff08\u5047\u6b63\u7387\uff09<\/strong> FPR=FP\/\uff08FP+TN\u200b\uff09<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5f15\u5165\u6982\u5ff5\uff1aROC\u66f2\u7ebf<\/h2>\n\n\n\n<p>\u5bf9\u4e8e\u540c\u4e00\u4e2a\u7cfb\u7edf\u6765\u8bf4\uff0c\u5982\u679cTP\u589e\u52a0\uff0c\u90a3\u4e48<strong>FP\u4e5f\u4f1a\u968f\u4e4b\u589e\u52a0<\/strong><\/p>\n\n\n\n<p>\u76f4\u89c2\u7684\u7406\u89e3\uff1a<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u540c\u4e00\u4e2a\u7cfb\u7edf\uff0c\u5982\u679c\u6211\u4eec\u628a\u66f4\u591a\u7684\u6b63\u6837\u672c\u8bc6\u522b\u4e3a<strong>\u6b63\u6837\u672c<\/strong>\uff0c\u90a3\u4e48\u6211\u4eec\u4e5f\u4f1a\u628a\u66f4\u591a\u7684<strong>\u8d1f\u6837\u672c<\/strong>\u8bc6\u522b\u4e3a<strong>\u6b63\u6837\u672c<\/strong>\u3002<\/p>\n\n\n\n<p>\u5f97\u5230\u5982\u4e0b\u5173\u7cfb\uff1a<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FN\u51cf\u5c11--TP\u589e\u52a0--FP\u589e\u52a0--TP\u51cf\u5c11<\/h2>\n\n\n\n<p>\u4eba\u4e3a\u6539\u53d8\u9608\u503c\uff1aTP\u548cFP\u540c\u65f6\u589e\u51cf\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u7cfb\u7edf\u6027\u80fd\u66f4\u597d\uff1a\u4ece\u7b97\u6cd5\u672c\u8eab\u6765\u5f04\uff08\u5373\u8bbe\u8ba1\u66f4\u597d\u7684\u7b97\u6cd5\uff09<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\ud83d\udcca \u7406\u89e3 ROC \u56fe\u7684\u610f\u4e49<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">- \u7406\u60f3\u5206\u7c7b\u5668\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ROC \u66f2\u7ebf\u5feb\u901f\u4e0a\u5347\u5230\u5de6\u4e0a\u89d2<\/li>\n\n\n\n<li>AUC\uff08\u66f2\u7ebf\u4e0b\u9762\u79ef\uff09\u63a5\u8fd1 1.0<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">- \u5b8c\u5168\u968f\u673a\u731c\u6d4b\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ROC \u66f2\u7ebf\u662f\u5bf9\u89d2\u7ebf y=x<\/li>\n\n\n\n<li>AUC = 0.5<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">- \u7cdf\u7cd5\u5206\u7c7b\u5668\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ROC \u66f2\u7ebf\u5728\u5bf9\u89d2\u7ebf\u4e0b\u65b9\uff08\u8bf4\u660e\u9884\u6d4b\u53cd\u7740\u6765\u8fd8\u66f4\u51c6\uff09<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\ud83d\udcca\u600e\u4e48\u753bROC\u66f2\u7ebf<\/h2>\n\n\n\n<p>0.\u5bf9\u6bcf\u4e2a\u6d4b\u8bd5\u6837\u672c\u8ba1\u7b97\u5982<em>\u56fe2.13.1-1<\/em> \u7684\u503c<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"114\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-41-300x114.png\" alt=\"\" class=\"wp-image-3155\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-41-300x114.png 300w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-41.png 621w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption class=\"wp-element-caption\">\u56fe2.13.1-1 \u516c\u5f0f<\/figcaption><\/figure>\n<\/div>\n\n\n<p>1.\u5c060\u6b65\u7684\u8ba1\u7b97\u7ed3\u679c\u4ece\u5c0f\u5230\u5927\u6392\u5e8f<\/p>\n\n\n\n<p>2.\u8ba1\u7b97\u6b64\u65f6\u7684TP,FP<\/p>\n\n\n\n<p>3.\u5c06\u6bcf\u4e2a\u503c\u4f5c\u4e3a\u4e00\u4e2a\u9608\u503c<\/p>\n\n\n\n<p>4.\u8fde\u6210\u4e00\u6761\u66f2\u7ebf<\/p>\n\n\n\n<p>\u57283.\u4e2d\uff1a\u4f60\u53ef\u4ee5\u4e0d\u65ad\u8c03\u6574\u5224\u65ad\u9608\u503c\uff08\u6bd4\u5982\u4ece 0 \u5230 1\uff09\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9608\u503c\u4f4e\uff1a\u5f88\u591a\u6837\u672c\u4f1a\u88ab\u5224\u4e3a\u6b63\u7c7b \u21d2 TPR \u2191 \u4f46 FPR \u2191<\/li>\n\n\n\n<li>\u9608\u503c\u9ad8\uff1a\u66f4\u4e25\u683c\uff0c\u53ea\u6709\u9ad8\u5206\u6837\u672c\u88ab\u5224\u4e3a\u6b63\u7c7b \u21d2 TPR \u2193 FPR \u2193<\/li>\n<\/ul>\n\n\n\n<p>\u6bcf\u4e2a\u9608\u503c\u5bf9\u5e94\u4e00\u5bf9 (FPR, TPR)\uff0c\u5728\u5e73\u9762\u4e0a\u5c31\u662f\u4e00\u4e2a\u70b9<\/p>\n\n\n\n<p>\u66f2\u7ebf\u4e0b\u9762\u79efAUC\uff1a\u662f\u66f2\u7ebf\u53f3\u4e0b\u89d2\u7684\u9762\u79ef\u5927\u5c0f\uff08\u9762\u79ef\u8d8a\u5927\u8d8a\u597d\uff09<\/p>\n\n\n\n<p>\u7b49\u9519\u8bef\u7387EER\uff1a\u4ece\u5de6\u4e0a-\u53f3\u4e0b\u5bf9\u89d2\u8fde\u7ebf\uff0c\u5f62\u6210\u4e0eROC\u66f2\u7ebf\u7684\u4ea4\u70b9\uff0c\u4e0eX\u8f74\u4f5c\u5782\u7ebf\uff0c\u5782\u7ebf\u7684X\u503c\u8d8a\u5c0f\u8d8a\u597d\u3002<\/p>\n\n\n\n<p>\u753b\u5175\u738b\u95ee\u9898Matlab\u7a0b\u5e8f\u7684ROC\u66f2\u7ebf\u4ee3\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import scipy.io as sio\n\nfrom sklearn.metrics import roc_curve, auc\n\nimport matplotlib.pyplot as plt\n\nimport numpy as np\n\n# \u52a0\u8f7d\u65b0\u7684 MATLAB \u6587\u4ef6\n\nmat = sio.loadmat(\"\/mnt\/data\/svm_results.mat\")\n\n# \u63d0\u53d6\u53d8\u91cf\n\ny_true = mat&#91;'yTesting'].ravel()\n\ndecision_values = mat&#91;'decisionValues'].ravel()\n\n# \u82e5\u6807\u7b7e\u4e3a -1\/1 \u8f6c\u4e3a 0\/1\n\nif set(np.unique(y_true)) == {-1, 1}:\n\n\u00a0\u00a0\u00a0 y_true = (y_true + 1) \/\/ 2\u00a0 # -1 -> 0, 1 -> 1\n\n# \u8ba1\u7b97 ROC \u66f2\u7ebf\u548c AUC\n\nfpr, tpr, thresholds = roc_curve(y_true, decision_values)\n\nroc_auc = auc(fpr, tpr)\n\n# \u8ba1\u7b97 EER\n\nfnr = 1 - tpr\n\neer_index = np.nanargmin(np.abs(fpr - fnr))\n\neer = (fpr&#91;eer_index] + fnr&#91;eer_index]) \/ 2\n\n# \u7ed8\u56fe\n\nplt.figure(figsize=(8, 6))\n\nplt.plot(fpr, tpr, label=f'ROC Curve (AUC = {roc_auc:.4f})', color='blue')\n\nplt.plot(&#91;0, 1], &#91;0, 1], 'k--', label='Random Guess')\n\nplt.plot(fpr&#91;eer_index], tpr&#91;eer_index], 'ro', label=f'EER = {eer:.4f}')\n\nplt.xlabel('False Positive Rate')\n\nplt.ylabel('True Positive Rate')\n\nplt.title('ROC Curve from MATLAB SVM Output')\n\nplt.legend(loc='lower right')\n\nplt.grid(True)\n\nplt.tight_layout()\n\nplt.show()<\/code><\/pre>\n\n\n\n<p>\ud83d\udea9\u4ee3\u7801\u8fd0\u884c\u5982\u56fe2.13.1-2\u6240\u793a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"788\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-42-1024x788.png\" alt=\"\" class=\"wp-image-3156\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-42-1024x788.png 1024w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-42-300x231.png 300w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-42-768x591.png 768w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-42.png 1204w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u56fe2.13.1-2 \u5175\u738b\u95ee\u9898ROC\u66f2\u7ebf\u5b9e\u73b0\u6548\u679c<\/figcaption><\/figure>\n\n\n\n<p>\u53ef\u77e5\uff1a<\/p>\n\n\n\n<p>AUC=0.9984\uff08\u66f2\u7ebf\u53f3\u4e0b\u89d2\u7684\u9762\u79ef\uff09<\/p>\n\n\n\n<p>\u7b49\u9519\u8bef\u7387EER=0.0078\uff08\u70b9\u5728X\u8f74\u7684\u503c\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udccc\u5355\u7eaf\u7528\u8bc6\u522b\u7387\u5224\u65ad\u7cfb\u7edf\u7684\u6027\u80fd\u597d\u574f\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002 \u8fd9\u65f6\u5019\u5c31\u9700\u8981\u7528\u5230\u6df7\u6dc6\u77e9\u9635\uff1a \u9884\u6d4b \u6b63\u5411 \u8d1f\u5411 \u5b9e \u6b63\u5411 TP  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3045,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[63],"tags":[],"class_list":["post-3154","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mlsh"],"_links":{"self":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/comments?post=3154"}],"version-history":[{"count":2,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3154\/revisions"}],"predecessor-version":[{"id":3182,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/3154\/revisions\/3182"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media\/3045"}],"wp:attachment":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media?parent=3154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/categories?post=3154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/tags?post=3154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}