{"id":25236,"date":"2025-03-28T11:28:51","date_gmt":"2025-03-28T03:28:51","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=25236"},"modified":"2025-03-28T11:28:51","modified_gmt":"2025-03-28T03:28:51","slug":"%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%bc%82%e5%b8%b8%e6%a3%80%e6%b5%8b%ef%bc%9amset-sprt%e7%bb%84%e5%90%88%e6%96%b9%e6%b3%95%e7%9a%84%e5%8e%9f%e7%90%86%e5%92%8cpython%e4%bb%a3%e7%a0%81%e5%ae%9e","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2025\/03\/28\/25236\/","title":{"rendered":"\u65f6\u95f4\u5e8f\u5217\u5f02\u5e38\u68c0\u6d4b\uff1aMSET-SPRT\u7ec4\u5408\u65b9\u6cd5\u7684\u539f\u7406\u548cPython\u4ee3\u7801\u5b9e\u73b0"},"content":{"rendered":"<div><img data-dominant-color=\"a3bddf\" data-has-transparency=\"false\" style=\"--dominant-color: #a3bddf;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-25238\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/03\/c66429392d767b067b9587e585eb2619d577db-300x167-1.jpg\" width=\"300\" height=\"167\" alt=\"\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/03\/c66429392d767b067b9587e585eb2619d577db-300x167-1.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/03\/c66429392d767b067b9587e585eb2619d577db-300x167-1-150x84.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div class=\"article-desc\">\u5728\u5f02\u5e38\u68c0\u6d4b\u9886\u57df\uff0c\u5c24\u5176\u9488\u5bf9\u5de5\u4e1a\u673a\u68b0\u3001\u6838\u53cd\u5e94\u5806\u548c\u7f51\u7edc\u5b89\u5168\u7b49\u590d\u6742\u7cfb\u7edf\uff0c\u4f20\u7edf\u65b9\u6cd5\u5f80\u5f80\u96be\u4ee5\u6709\u6548\u5904\u7406\u9ad8\u7ef4\u5ea6\u4e14\u76f8\u4e92\u5173\u8054\u7684\u6570\u636e\u6d41\u3002\u591a\u5143\u72b6\u6001\u4f30\u8ba1\u6280\u672f(MSET) \u4e0e\u5e8f\u8d2f\u6982\u7387\u6bd4\u68c0\u9a8c(SPRT) \u7684\u7ec4\u5408\u65b9\u6cd5\u5728\u6b64\u7c7b\u573a\u666f\u4e2d\u5c55\u73b0\u51fa\u663e\u8457\u4f18\u52bf\u3002<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-1d7a5742=\"\" data-element=\"root\">\n<blockquote><p>\u5728\u5f02\u5e38\u68c0\u6d4b\u9886\u57df\uff0c\u5c24\u5176\u9488\u5bf9\u5de5\u4e1a\u673a\u68b0\u3001\u6838\u53cd\u5e94\u5806\u548c\u7f51\u7edc\u5b89\u5168\u7b49\u590d\u6742\u7cfb\u7edf\uff0c\u4f20\u7edf\u65b9\u6cd5\u5f80\u5f80\u96be\u4ee5\u6709\u6548\u5904\u7406\u9ad8\u7ef4\u5ea6\u4e14\u76f8\u4e92\u5173\u8054\u7684\u6570\u636e\u6d41\u3002\u591a\u5143\u72b6\u6001\u4f30\u8ba1\u6280\u672f(MSET)\u00a0\u4e0e\u5e8f\u8d2f\u6982\u7387\u6bd4\u68c0\u9a8c(SPRT)\u00a0\u7684\u7ec4\u5408\u65b9\u6cd5\u5728\u6b64\u7c7b\u573a\u666f\u4e2d\u5c55\u73b0\u51fa\u663e\u8457\u4f18\u52bf\u3002<\/p>\n<p>MSET-SPRT\u662f\u4e00\u79cd\u7ed3\u5408\u673a\u5668\u5b66\u4e60\u72b6\u6001\u4f30\u8ba1\u4e0e\u7edf\u8ba1\u5047\u8bbe\u68c0\u9a8c\u7684\u6df7\u5408\u6280\u672f\u6846\u67b6\uff0c\u901a\u8fc7\u5176\u9ad8\u7cbe\u5ea6\u548c\u7a33\u5065\u6027\uff0c\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5173\u952e\u4efb\u52a1\u7cfb\u7edf\u7684\u76d1\u63a7\u4e0e\u5206\u6790\u3002\u8be5\u65b9\u6cd5\u80fd\u591f\u5b9e\u65f6\u8bc6\u522b\u7cfb\u7edf\u884c\u4e3a\u7684\u5fae\u5c0f\u504f\u5dee\uff0c\u4e3a\u9884\u9632\u6027\u7ef4\u62a4\u548c\u5f02\u5e38\u4e8b\u4ef6\u9884\u8b66\u63d0\u4f9b\u53ef\u9760\u4f9d\u636e\u3002<\/p><\/blockquote>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202503\/28\/5288e58449b089fd6dd2012a23700c32eab9cd.webp\" alt=\"\" data-type=\"block\" \/><\/p>\n<h3>MSET-SPRT\u7406\u8bba\u57fa\u7840<\/h3>\n<h4>\u591a\u5143\u72b6\u6001\u4f30\u8ba1\u6280\u672f(MSET)\u539f\u7406<\/h4>\n<p>MSET\u4f5c\u4e3a\u4e00\u79cd\u975e\u53c2\u6570\u975e\u7ebf\u6027\u56de\u5f52\u6280\u672f\uff0c\u901a\u8fc7\u5386\u53f2\u89c2\u6d4b\u6570\u636e\u6784\u5efa\u7cfb\u7edf\u6b63\u5e38\u72b6\u6001\u6a21\u578b\u3002\u5176\u6838\u5fc3\u5de5\u4f5c\u673a\u5236\u5305\u62ec\uff1a<\/p>\n<p>\u5efa\u7acb\u5305\u542b\u5386\u53f2\u6b63\u5e38\u7cfb\u7edf\u72b6\u6001\u7684\u8bb0\u5fc6\u77e9\u9635\uff0c\u4f5c\u4e3a\u53c2\u8003\u57fa\u51c6\uff1b\u5229\u7528\u5b66\u4e60\u5230\u7684\u5386\u53f2\u72b6\u6001\u95f4\u5173\u7cfb\u8ba1\u7b97\u52a0\u6743\u7ec4\u5408\uff0c\u4ece\u800c\u4f30\u8ba1\u5f53\u524d\u7cfb\u7edf\u7684\u9884\u671f\u72b6\u6001\uff1b\u901a\u8fc7\u5bf9\u6bd4\u89c2\u6d4b\u503c\u4e0e\u4f30\u8ba1\u503c\uff0c\u8ba1\u7b97\u7cfb\u7edf\u884c\u4e3a\u504f\u5dee\uff0c\u4e3a\u5f02\u5e38\u68c0\u6d4b\u63d0\u4f9b\u57fa\u7840\u6307\u6807\u3002<\/p>\n<h4>\u5e8f\u8d2f\u6982\u7387\u6bd4\u68c0\u9a8c(SPRT)\u65b9\u6cd5<\/h4>\n<p>SPRT\u662f\u4e00\u79cd\u57fa\u4e8e\u7edf\u8ba1\u63a8\u65ad\u7684\u5e8f\u8d2f\u5047\u8bbe\u68c0\u9a8c\u65b9\u6cd5\uff0c\u4e13\u7528\u4e8e\u786e\u5b9a\u7cfb\u7edf\u884c\u4e3a\u504f\u5dee\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u8457\u6027\u3002\u5176\u4e3b\u8981\u529f\u80fd\u4e3a\uff1a<\/p>\n<p>\u6301\u7eed\u8bc4\u4f30\u6b8b\u5dee\u8bef\u5dee\uff08\u5b9e\u9645\u89c2\u6d4b\u503c\u4e0e\u6a21\u578b\u4f30\u8ba1\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\uff09\uff0c\u5e76\u6839\u636e\u9884\u8bbe\u7684\u7edf\u8ba1\u6a21\u578b\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\uff1b\u5f53\u68c0\u6d4b\u5230\u7684\u504f\u5dee\u8d85\u8fc7\u7edf\u8ba1\u7f6e\u4fe1\u9608\u503c\u65f6\uff0c\u7cfb\u7edf\u80fd\u591f\u53ca\u65f6\u53d1\u51fa\u9884\u8b66\u4fe1\u53f7\uff0c\u540c\u65f6\u63a7\u5236\u865a\u8b66\u7387\u5728\u53ef\u63a5\u53d7\u8303\u56f4\u5185\u3002<\/p>\n<p>MSET-SPRT\u6846\u67b6\u901a\u8fc7\u4e0a\u8ff0\u4e24\u79cd\u6280\u672f\u7684\u534f\u540c\u4f5c\u7528\uff0c\u4e3a\u591a\u5143\u6570\u636e\u5f02\u5e38\u68c0\u6d4b\u63d0\u4f9b\u4e86\u51c6\u786e\u4e14\u9ad8\u6548\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u7279\u522b\u9002\u7528\u4e8e\u9ad8\u7ef4\u5ea6\u3001\u9ad8\u76f8\u5173\u6027\u7684\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u5206\u6790\u3002<\/p>\n<h3>Python\u5b9e\u73b0MSET-SPRT\u5f02\u5e38\u68c0\u6d4b<\/h3>\n<p>\u4e0b\u9762\u901a\u8fc7\u4e00\u4e2a\u7cbe\u7b80\u7684\u793a\u4f8b\u6765\u6f14\u793aMSET-SPRT\u65b9\u6cd5\u5728Python\u4e2d\u7684\u5b9e\u73b0\u8fc7\u7a0b\u3002<\/p>\n<h4>\u5bfc\u5165\u5fc5\u8981\u7684\u5e93<\/h4>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_0\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np\r\n <span class=\"token keyword\">import<\/span> scipy<span class=\"token punctuation\">.<\/span>stats <span class=\"token keyword\">as<\/span> stats\r\n <span class=\"token keyword\">import<\/span> matplotlib<span class=\"token punctuation\">.<\/span>pyplot <span class=\"token keyword\">as<\/span> plt<\/code><\/pre>\n<ul id=\"code_id_0\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h4>\u751f\u6210\u6a21\u62df\u6570\u636e\u96c6<\/h4>\n<p>\u6784\u5efa\u4e00\u4e2a\u591a\u5143\u6b63\u6001\u5206\u5e03\u6570\u636e\u96c6\uff0c\u7528\u4e8e\u6a21\u62df\u6b63\u5e38\u8fd0\u884c\u72b6\u6001\u4e0b\u7684\u7cfb\u7edf\u884c\u4e3a\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_1\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token comment\"># Simulating normal system behavior (3 correlated sensors)<\/span>\r\nnp<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>seed<span class=\"token punctuation\">(<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">)<\/span>\r\nmean <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">50<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">75<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># Mean values for three sensors<\/span>\r\ncov <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">15<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">20<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># Covariance matrix<\/span>\r\n\r\n<span class=\"token comment\"># Generate 500 normal operation samples<\/span>\r\n normal_data <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>multivariate_normal<span class=\"token punctuation\">(<\/span>mean<span class=\"token punctuation\">,<\/span> cov<span class=\"token punctuation\">,<\/span> size<span class=\"token operator\">=<\/span><span class=\"token number\">500<\/span><span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<ul id=\"code_id_1\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h4>\u5b9e\u73b0MSET\u7b97\u6cd5<\/h4>\n<p>\u91c7\u7528\u57fa\u4e8e\u52a0\u6743\u6700\u8fd1\u90bb\u7684\u65b9\u6cd5\u5b9e\u73b0MSET\u7b97\u6cd5\uff0c\u7528\u4e8e\u4f30\u8ba1\u7cfb\u7edf\u7684\u9884\u671f\u884c\u4e3a\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_2\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">MSET<\/span><span class=\"token punctuation\">:<\/span>\r\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> memory_matrix<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>\r\n        self<span class=\"token punctuation\">.<\/span>memory_matrix <span class=\"token operator\">=<\/span> memory_matrix  <span class=\"token comment\"># Store normal system states<\/span>\r\n\r\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">estimate<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> input_vector<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>\r\n        <span class=\"token triple-quoted-string string\">\"\"\"\r\n        Estimates the expected state based on historical data.\r\n        Uses nearest neighbors to compute weighted estimation.\r\n        \"\"\"<\/span>\r\n        weights <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>exp<span class=\"token punctuation\">(<\/span><span class=\"token operator\">-<\/span>np<span class=\"token punctuation\">.<\/span>linalg<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>memory_matrix <span class=\"token operator\">-<\/span> input_vector<span class=\"token punctuation\">,<\/span> axis<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>\r\n        weights <span class=\"token operator\">\/=<\/span> np<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">)<\/span>\r\n         <span class=\"token keyword\">return<\/span> np<span class=\"token punctuation\">.<\/span>dot<span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>memory_matrix<span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<ul id=\"code_id_2\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<li>8.<\/li>\n<li>9.<\/li>\n<li>10.<\/li>\n<li>11.<\/li>\n<li>12.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>\u521d\u59cb\u5316MSET\u6a21\u578b\uff0c\u5c06\u6b63\u5e38\u8fd0\u884c\u6570\u636e\u4f5c\u4e3a\u8bb0\u5fc6\u77e9\u9635\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_3\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token comment\"># Initialize MSET with normal data as memory<\/span>\r\n mset_model <span class=\"token operator\">=<\/span> MSET<span class=\"token punctuation\">(<\/span>memory_matrix<span class=\"token operator\">=<\/span>normal_data<span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<ul id=\"code_id_3\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h4>\u8ba1\u7b97\u6b8b\u5dee<\/h4>\n<p>\u8ba1\u7b97\u5b9e\u9645\u89c2\u6d4b\u503c\u4e0eMSET\u4f30\u8ba1\u503c\u4e4b\u95f4\u7684\u6b8b\u5dee\uff0c\u4f5c\u4e3a\u5f02\u5e38\u68c0\u6d4b\u7684\u57fa\u7840\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_4\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token comment\"># filepath: deephub\\5\\20250327\\article.md<\/span>\r\n<span class=\"token comment\"># Simulated test data (normal + some anomalies)<\/span>\r\ntest_data <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>vstack<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>\r\n    np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>multivariate_normal<span class=\"token punctuation\">(<\/span>mean<span class=\"token punctuation\">,<\/span> cov<span class=\"token punctuation\">,<\/span> size<span class=\"token operator\">=<\/span><span class=\"token number\">450<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span>  <span class=\"token comment\"># Normal<\/span>\r\n    np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>multivariate_normal<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">70<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">50<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">130<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> cov<span class=\"token punctuation\">,<\/span> size<span class=\"token operator\">=<\/span><span class=\"token number\">50<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># Anomalies<\/span>\r\n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n\r\n<span class=\"token comment\"># Compute estimated values<\/span>\r\nestimated_data <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>mset_model<span class=\"token punctuation\">.<\/span>estimate<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> x <span class=\"token keyword\">in<\/span> test_data<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token comment\"># Compute residuals<\/span>\r\n residuals <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>linalg<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>test_data <span class=\"token operator\">-<\/span> estimated_data<span class=\"token punctuation\">,<\/span> axis<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<ul id=\"code_id_4\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<li>8.<\/li>\n<li>9.<\/li>\n<li>10.<\/li>\n<li>11.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h4>\u5e94\u7528SPRT\u8fdb\u884c\u5f02\u5e38\u68c0\u6d4b<\/h4>\n<p>\u57fa\u4e8e\u4f3c\u7136\u6bd4\u68c0\u9a8c\u539f\u7406\u5b9e\u73b0SPRT\u7b97\u6cd5\uff0c\u7528\u4e8e\u5224\u5b9a\u6b8b\u5dee\u662f\u5426\u8868\u793a\u5f02\u5e38\u72b6\u6001\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_5\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-python\" tabindex=\"0\"><code class=\"language-python\"><span class=\"token comment\"># Define thresholds for SPRT<\/span>\r\nalpha <span class=\"token operator\">=<\/span> <span class=\"token number\">0.05<\/span>  <span class=\"token comment\"># False positive rate<\/span>\r\nbeta <span class=\"token operator\">=<\/span> <span class=\"token number\">0.05<\/span>   <span class=\"token comment\"># False negative rate<\/span>\r\nmu_0<span class=\"token punctuation\">,<\/span> sigma_0 <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>mean<span class=\"token punctuation\">(<\/span>residuals<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">450<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> np<span class=\"token punctuation\">.<\/span>std<span class=\"token punctuation\">(<\/span>residuals<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">450<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># Normal behavior<\/span>\r\nmu_1 <span class=\"token operator\">=<\/span> mu_0 <span class=\"token operator\">+<\/span> <span class=\"token number\">3<\/span> <span class=\"token operator\">*<\/span> sigma_0  <span class=\"token comment\"># Anomalous mean shift<\/span>\r\n\r\n<span class=\"token comment\"># SPRT decision function<\/span>\r\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">sprt_test<\/span><span class=\"token punctuation\">(<\/span>residual<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>\r\n    <span class=\"token triple-quoted-string string\">\"\"\" Sequential Probability Ratio Test for anomaly detection \"\"\"<\/span>\r\n    likelihood_ratio <span class=\"token operator\">=<\/span> stats<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>mu_1<span class=\"token punctuation\">,<\/span> sigma_0<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>pdf<span class=\"token punctuation\">(<\/span>residual<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> stats<span class=\"token punctuation\">.<\/span>norm<span class=\"token punctuation\">(<\/span>mu_0<span class=\"token punctuation\">,<\/span> sigma_0<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>pdf<span class=\"token punctuation\">(<\/span>residual<span class=\"token punctuation\">)<\/span>\r\n    <span class=\"token keyword\">return<\/span> likelihood_ratio <span class=\"token operator\">&gt;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">-<\/span> beta<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> alpha\r\n<span class=\"token comment\"># Apply SPRT<\/span>\r\nanomalies <span class=\"token operator\">=<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>sprt_test<span class=\"token punctuation\">(<\/span>res<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> res <span class=\"token keyword\">in<\/span> residuals<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token comment\"># Plot results<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>figure<span class=\"token punctuation\">(<\/span>figsize<span class=\"token operator\">=<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>residuals<span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">=<\/span><span class=\"token string\">\"Residuals\"<\/span><span class=\"token punctuation\">,<\/span> color<span class=\"token operator\">=<\/span><span class=\"token string\">\"blue\"<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>axhline<span class=\"token punctuation\">(<\/span>mu_1<span class=\"token punctuation\">,<\/span> color<span class=\"token operator\">=<\/span><span class=\"token string\">\"red\"<\/span><span class=\"token punctuation\">,<\/span> linestyle<span class=\"token operator\">=<\/span><span class=\"token string\">\"dashed\"<\/span><span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">=<\/span><span class=\"token string\">\"Anomaly Threshold\"<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>scatter<span class=\"token punctuation\">(<\/span>np<span class=\"token punctuation\">.<\/span>where<span class=\"token punctuation\">(<\/span>anomalies<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> residuals<span class=\"token punctuation\">[<\/span>anomalies<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> color<span class=\"token operator\">=<\/span><span class=\"token string\">\"red\"<\/span><span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">=<\/span><span class=\"token string\">\"Detected Anomalies\"<\/span><span class=\"token punctuation\">,<\/span> zorder<span class=\"token operator\">=<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>xlabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Time\"<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>ylabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Residual Magnitude\"<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>legend<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\r\nplt<span class=\"token punctuation\">.<\/span>title<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"MSET-SPRT Anomaly Detection\"<\/span><span class=\"token punctuation\">)<\/span>\r\n plt<span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/code><\/pre>\n<ul id=\"code_id_5\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<li>8.<\/li>\n<li>9.<\/li>\n<li>10.<\/li>\n<li>11.<\/li>\n<li>12.<\/li>\n<li>13.<\/li>\n<li>14.<\/li>\n<li>15.<\/li>\n<li>16.<\/li>\n<li>17.<\/li>\n<li>18.<\/li>\n<li>19.<\/li>\n<li>20.<\/li>\n<li>21.<\/li>\n<li>22.<\/li>\n<li>23.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3>\u7ed3\u679c\u5206\u6790\u4e0e\u89e3\u91ca<\/h3>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202503\/28\/71cf3b580578746b596391083fcced34d5b680.webp\" alt=\"\" data-type=\"block\" \/><\/p>\n<p>\u56fe\u4e2d\u6570\u636e\u53ef\u89c6\u5316\u7ed3\u679c\u5c55\u793a\u4e86MSET-SPRT\u65b9\u6cd5\u7684\u5f02\u5e38\u68c0\u6d4b\u6548\u679c\uff1a<\/p>\n<p>\u84dd\u8272\u66f2\u7ebf\u8868\u793a\u7cfb\u7edf\u72b6\u6001\u6b8b\u5dee\u65f6\u95f4\u5e8f\u5217\uff0c\u53cd\u6620\u4e86\u5b9e\u9645\u89c2\u6d4b\u503c\u4e0e\u4f30\u8ba1\u503c\u4e4b\u95f4\u7684\u504f\u5dee\u5927\u5c0f\uff1b\u7ea2\u8272\u865a\u7ebf\u6807\u793a\u51fa\u5f02\u5e38\u68c0\u6d4b\u9608\u503c\uff0c\u8be5\u9608\u503c\u57fa\u4e8e\u6b63\u5e38\u8fd0\u884c\u6570\u636e\u7684\u7edf\u8ba1\u7279\u6027\u8ba1\u7b97\u5f97\u51fa\uff1b\u7ea2\u8272\u6807\u8bb0\u70b9\u5219\u4ee3\u8868\u88abSPRT\u7b97\u6cd5\u5224\u5b9a\u4e3a\u5f02\u5e38\u7684\u65f6\u95f4\u70b9\uff0c\u8fd9\u4e9b\u70b9\u7684\u6b8b\u5dee\u503c\u663e\u8457\u9ad8\u4e8e\u6b63\u5e38\u6ce2\u52a8\u8303\u56f4\u3002<\/p>\n<p>\u5206\u6790\u7ed3\u679c\u8868\u660e\uff0cMSET-SPRT\u65b9\u6cd5\u80fd\u591f\u6709\u6548\u533a\u5206\u6b63\u5e38\u7cfb\u7edf\u6ce2\u52a8\u4e0e\u5f02\u5e38\u884c\u4e3a\uff0c\u63d0\u4f9b\u4e86\u4e00\u79cd\u53ef\u9760\u7684\u591a\u5143\u65f6\u95f4\u5e8f\u5217\u5f02\u5e38\u68c0\u6d4b\u65b9\u6848\u3002\u8be5\u65b9\u6cd5\u7279\u522b\u9002\u7528\u4e8e\u9700\u8981\u9ad8\u7cbe\u5ea6\u5f02\u5e38\u68c0\u6d4b\u7684\u5de5\u4e1a\u76d1\u63a7\u3001\u8bbe\u5907\u5065\u5eb7\u7ba1\u7406\u548c\u7f51\u7edc\u5b89\u5168\u7b49\u9886\u57df\u3002<\/p>\n<\/div>\n<p>\u6587\u7ae0\u6765\u81ea\uff1a51CTO<\/p>\n<\/div>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_25236\" class=\"pvc_stats total_only  \" data-element-id=\"25236\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" version=\"1.0\" viewBox=\"0 0 502 315\" preserveAspectRatio=\"xMidYMid meet\"><g transform=\"translate(0,332) scale(0.1,-0.1)\" fill=\"\" stroke=\"none\"><path d=\"M2394 3279 l-29 -30 -3 -207 c-2 -182 0 -211 15 -242 39 -76 157 -76 196 0 15 31 17 60 15 243 l-3 209 -33 29 c-26 23 -41 29 -80 29 -41 0 -53 -5 -78 -31z\"\/><path d=\"M3085 3251 c-45 -19 -58 -50 -96 -229 -47 -217 -49 -260 -13 -295 52 -53 146 -42 177 20 16 31 87 366 87 410 0 70 -86 122 -155 94z\"\/><path d=\"M1751 3234 c-13 -9 -29 -31 -37 -50 -12 -29 -10 -49 21 -204 19 -94 39 -189 45 -210 14 -50 54 -80 110 -80 34 0 48 6 76 34 21 21 34 44 34 59 0 14 -18 113 -40 219 -37 178 -43 195 -70 221 -36 32 -101 37 -139 11z\"\/><path d=\"M1163 3073 c-36 -7 -73 -59 -73 -102 0 -56 133 -378 171 -413 34 -32 83 -37 129 -13 70 36 67 87 -16 290 -86 209 -89 214 -129 231 -35 14 -42 15 -82 7z\"\/><path d=\"M3689 3066 c-15 -9 -33 -30 -42 -48 -48 -103 -147 -355 -147 -375 0 -98 131 -148 192 -74 13 15 57 108 97 206 80 196 84 226 37 273 -30 30 -99 39 -137 18z\"\/><path d=\"M583 2784 c-38 -19 -67 -74 -58 -113 9 -42 211 -354 242 -373 16 -10 45 -18 66 -18 51 0 107 52 107 100 0 39 -1 41 -124 234 -80 126 -108 162 -133 173 -41 17 -61 16 -100 -3z\"\/><path d=\"M4250 2784 c-14 -9 -74 -91 -133 -183 -95 -150 -107 -173 -107 -213 0 -55 33 -94 87 -104 67 -13 90 8 211 198 130 202 137 225 78 284 -27 27 -42 34 -72 34 -22 0 -50 -8 -64 -16z\"\/><path d=\"M2275 2693 c-553 -48 -1095 -270 -1585 -649 -135 -104 -459 -423 -483 -476 -23 -49 -22 -139 2 -186 73 -142 361 -457 571 -626 285 -228 642 -407 990 -497 242 -63 336 -73 660 -74 310 0 370 5 595 52 535 111 1045 392 1455 803 122 121 250 273 275 326 19 41 19 137 0 174 -41 79 -309 363 -465 492 -447 370 -946 591 -1479 653 -113 14 -422 18 -536 8z m395 -428 c171 -34 330 -124 456 -258 112 -119 167 -219 211 -378 27 -96 24 -300 -5 -401 -72 -255 -236 -447 -474 -557 -132 -62 -201 -76 -368 -76 -167 0 -236 14 -368 76 -213 98 -373 271 -451 485 -162 444 86 934 547 1084 153 49 292 57 452 25z m909 -232 c222 -123 408 -262 593 -441 76 -74 138 -139 138 -144 0 -16 -233 -242 -330 -319 -155 -123 -309 -223 -461 -299 l-81 -41 32 46 c18 26 49 83 70 128 143 306 141 649 -6 957 -25 52 -61 116 -79 142 l-34 47 45 -20 c26 -10 76 -36 113 -56z m-2057 25 c-40 -58 -105 -190 -130 -263 -110 -324 -59 -707 132 -981 25 -35 42 -64 37 -64 -19 0 -241 119 -326 174 -188 122 -406 314 -532 468 l-58 71 108 103 c185 178 428 349 672 473 66 33 121 60 123 61 2 0 -10 -19 -26 -42z\"\/><path d=\"M2375 1950 c-198 -44 -350 -190 -395 -379 -18 -76 -8 -221 19 -290 114 -284 457 -406 731 -260 98 52 188 154 231 260 27 69 37 214 19 290 -38 163 -166 304 -326 360 -67 23 -215 33 -279 19z\"\/><\/g><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/aif.amtbbs.org\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u5f02\u5e38\u68c0\u6d4b\u9886\u57df\uff0c\u5c24\u5176\u9488\u5bf9\u5de5\u4e1a\u673a\u68b0\u3001\u6838\u53cd\u5e94\u5806\u548c\u7f51\u7edc\u5b89\u5168\u7b49\u590d\u6742\u7cfb\u7edf\uff0c\u4f20\u7edf\u65b9\u6cd5\u5f80\u5f80\u96be\u4ee5\u6709\u6548\u5904\u7406\u9ad8\u7ef4\u5ea6\u4e14\u76f8\u4e92\u5173\u8054\u7684\u6570\u636e [&hellip;]<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_25236\" class=\"pvc_stats total_only  \" data-element-id=\"25236\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" version=\"1.0\" viewBox=\"0 0 502 315\" preserveAspectRatio=\"xMidYMid meet\"><g transform=\"translate(0,332) scale(0.1,-0.1)\" fill=\"\" stroke=\"none\"><path d=\"M2394 3279 l-29 -30 -3 -207 c-2 -182 0 -211 15 -242 39 -76 157 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