{"id":112394,"date":"2026-10-03T13:32:52","date_gmt":"2026-10-03T05:32:52","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/112394.html"},"modified":"2026-10-03T13:32:52","modified_gmt":"2026-10-03T05:32:52","slug":"llm-ops-%e8%af%84%e6%b5%8b%e4%b8%8e%e5%8f%af%e8%a7%82%e6%b5%8b%e5%ae%9e%e6%88%98%ef%bc%881%ef%bc%89%ef%bc%9allm-%e5%ba%94%e7%94%a8%e4%b8%ba%e4%bb%80%e4%b9%88%e5%bf%85%e9%a1%bb%e6%9c%89%e8%af%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/112394.html","title":{"rendered":"LLM Ops \u8bc4\u6d4b\u4e0e\u53ef\u89c2\u6d4b\u5b9e\u6218\uff081\uff09\uff1aLLM \u5e94\u7528\u4e3a\u4ec0\u4e48\u5fc5\u987b\u6709\u8bc4\u6d4b\u96c6\uff1a\u544a\u522b\u51ed\u611f\u89c9\u9a8c\u6536"},"content":{"rendered":"<h3>\u95ee\u9898\u80cc\u666f<\/h3>\n<p>\u8fd9\u662f\u300aLLM Ops \u8bc4\u6d4b\u4e0e\u53ef\u89c2\u6d4b\u5b9e\u6218\u300b\u7cfb\u5217\u7684\u7b2c\u4e00\u7bc7&#xff0c;\u4e4b\u540e\u5341\u7bc7\u7684\u8bc4\u6d4b\u3001\u95e8\u7981\u3001\u8ffd\u8e2a\u3001\u7070\u5ea6\u90fd\u4f1a\u7ad9\u5728\u4eca\u5929\u8fd9\u5757\u5730\u57fa\u4e0a\u3002\u5148\u8bf4\u4e00\u4e2a\u5927\u591a\u6570\u56e2\u961f\u90fd\u7ecf\u5386\u8fc7\u7684\u573a\u666f&#xff1a;\u5ba2\u670d\u56e2\u961f\u4e0a\u7ebf\u4e86\u4e00\u4e2a\u57fa\u4e8e RAG \u7684\u552e\u540e\u653f\u7b56\u95ee\u7b54\u673a\u5668\u4eba&#xff0c;\u6f14\u793a\u4f1a\u4e0a\u8d1f\u8d23\u4eba\u8fde\u95ee\u4e94\u4e2a\u95ee\u9898&#xff0c;\u56db\u4e2a\u7b54\u5f97\u6f02\u4eae&#xff0c;\u4e8e\u662f\u5ba3\u5e03&#034;\u6548\u679c\u4e0d\u9519&#xff0c;\u4e0a\u7ebf&#034;\u3002\u4e24\u5468\u540e\u6295\u8bc9\u5806\u79ef&#xff1a;\u9000\u6b3e\u65f6\u6548\u95ee\u9898\u7b54\u9519\u3001\u628a&#034;\u4e0d\u652f\u6301\u4e03\u5929\u65e0\u7406\u7531&#034;\u7684\u5546\u54c1\u8bf4\u6210\u652f\u6301\u3001\u9047\u5230\u65b9\u8a00\u8f93\u5165\u76f4\u63a5\u80e1\u7f16\u3002\u56de\u5934\u590d\u76d8&#xff0c;\u6ca1\u6709\u4eba\u80fd\u8bf4\u6e05&#034;\u4e0a\u7ebf\u90a3\u5929\u7684\u673a\u5668\u4eba\u5230\u5e95\u884c\u4e0d\u884c&#034;\u2014\u2014\u56e0\u4e3a\u6839\u672c\u6ca1\u4eba\u7cfb\u7edf\u5730\u91cf\u8fc7\u3002\u4f20\u7edf\u8f6f\u4ef6\u6709\u5355\u5143\u6d4b\u8bd5\u548c\u65ad\u8a00&#xff0c;\u8f93\u5165\u786e\u5b9a\u8f93\u51fa\u786e\u5b9a&#xff1b;LLM 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git&#xff0c;\u914d\u7f6e\u7684\u6bcf\u4e00\u6b21\u53d8\u66f4\u6709 diff \u53ef\u67e5&#xff0c;\u800c prompt\u3001\u6a21\u578b\u7248\u672c\u3001\u68c0\u7d22\u53c2\u6570\u8fd9\u4e09\u6837\u4e1c\u897f\u7684\u53d8\u66f4\u5728\u4f20\u7edf\u6d41\u7a0b\u91cc\u5b8c\u5168\u6ca1\u6709 diff&#xff1a;\u6539\u4e86 prompt \u7684\u7b2c\u4e09\u884c\u63aa\u8f9e&#xff0c;\u4f60\u4e0d\u77e5\u9053\u5b83\u5bf9&#034;\u591a\u8f6e\u8ffd\u95ee&#034;\u7c7b\u95ee\u9898\u9020\u6210\u4e86\u4ec0\u4e48\u5f71\u54cd&#xff0c;\u56e0\u4e3a\u6ca1\u6709\u4efb\u4f55\u57fa\u7ebf\u53ef\u4ee5\u5bf9\u7167\u3002\u8bc4\u6d4b\u96c6\u505a\u7684\u4e8b\u60c5&#xff0c;\u5c31\u662f\u628a&#034;\u6548\u679c&#034;\u53d8\u6210\u4e00\u4e2a\u53ef\u4ee5\u5bf9\u4e24\u6b21\u53d8\u66f4\u505a\u5dee\u5206\u7684\u6807\u91cf&#xff08;\u6216\u4e00\u7ec4\u6807\u91cf&#xff09;\u3002\u6ca1\u6709\u5b83&#xff0c;\u56de\u6eda\u90fd\u65e0\u6cd5\u51b3\u7b56\u2014\u2014\u4f60\u60f3\u9000\u56de\u65e7\u7248\u672c&#xff0c;\u5374\u62ff\u4e0d\u51fa&#034;\u65e7\u7248\u672c\u5230\u5e95\u5dee\u5728\u54ea\u3001\u5dee\u591a\u5c11&#034;\u7684\u8bc1\u636e\u3002<\/p>\n<p>\u7b2c\u4e8c\u5c42&#xff0c;LLM \u7684\u975e\u786e\u5b9a\u6027\u8ba9\u5c0f\u6837\u672c\u5f7b\u5e95\u5931\u771f\u3002\u540c\u4e00\u8f93\u5165\u6e29\u5ea6\u4e0d\u4e3a\u96f6\u65f6\u8f93\u51fa\u4f1a\u53d8&#xff0c;\u4e8e\u662f\u5355\u6b21\u95ee\u7b54\u7ed3\u679c\u5e26\u6709\u91c7\u6837\u566a\u58f0&#xff1b;\u5f53\u4f60\u53ea\u51ed\u5341\u6765\u4e2a\u6848\u4f8b\u5224\u65ad\u7248\u672c\u597d\u574f&#xff0c;\u566a\u58f0\u7ecf\u5e38\u6bd4\u771f\u5b9e\u6548\u5e94\u5927\u3002\u628a\u8fd9\u4ef6\u4e8b\u6a21\u62df\u51fa\u6765\u6700\u76f4\u89c2&#xff1a;\u5047\u8bbe\u65b0\u7248\u672c\u771f\u5b9e\u901a\u8fc7\u7387 0.75\u3001\u65e7\u7248\u672c 0.72&#xff08;\u65b0\u7248\u672c\u786e\u5b9e\u66f4\u597d&#xff09;&#xff0c;\u7528\u56fa\u5b9a\u968f\u673a\u79cd\u5b50\u6309\u4e0d\u540c\u6837\u672c\u91cf\u5404\u505a 400 \u6b21\u62bd\u6837\u8bc4\u6d4b&#xff0c;\u7edf\u8ba1&#034;\u628a\u66f4\u597d\u7684\u65b0\u7248\u8bef\u5224\u6210\u6301\u5e73\u6216\u9000\u6b65&#034;\u7684\u6bd4\u4f8b\u3002<\/p>\n<p>\u7b2c\u4e09\u5c42&#xff0c;\u4e0d\u5efa\u8bc4\u6d4b\u96c6\u4e0d\u7b49\u4e8e\u6ca1\u6709\u8bc4\u6d4b&#xff0c;\u53ea\u662f\u8bc4\u6d4b\u6807\u51c6\u52a3\u5316\u4e86\u3002\u56e2\u961f\u4f1a\u81ea\u53d1\u627e\u5230\u4ee3\u7406\u6307\u6807&#xff1a;\u6f14\u793a\u65f6\u7684\u901a\u8fc7\u7387\u3001\u4ea7\u54c1\u7ecf\u7406\u7684\u624b\u5de5\u62bd\u6d4b\u3001\u4e0a\u7ebf\u540e\u524d\u51e0\u6761\u7528\u6237\u53cd\u9988\u3001\u7ade\u5bf9 demo \u7684\u5bf9\u6bd4\u5370\u8c61\u3002\u8fd9\u4e9b\u4ee3\u7406\u6709\u4e09\u4e2a\u5171\u540c\u75c5\u7076\u2014\u2014\u6837\u672c\u5c0f\u4e14\u504f&#xff08;\u4e13\u6311\u80fd\u6253\u7684\u95ee&#xff09;\u3001\u6807\u51c6\u6f02\u79fb&#xff08;\u6bcf\u4e2a\u4eba\u5fc3\u91cc&#034;\u597d&#034;\u7684\u5b9a\u4e49\u4e0d\u540c&#xff0c;\u540c\u4e00\u6761\u56de\u7b54\u4e24\u4e2a\u4eba\u7ed9\u51fa\u76f8\u53cd\u7ed3\u8bba&#xff09;\u3001\u4e0d\u53ef\u7d2f\u79ef&#xff08;\u4eba\u7684\u5370\u8c61\u65e0\u6cd5\u53c2\u4e0e\u4e0b\u4e00\u6b21\u7248\u672c\u6bd4\u8f83&#xff09;\u3002\u8bc4\u6d4b\u96c6\u5de5\u7a0b\u7684\u5168\u90e8\u52a8\u673a&#xff0c;\u5c31\u662f\u628a\u8fd9\u5957\u52a3\u5316\u7684\u9690\u5f0f\u8bc4\u6d4b\u6362\u6210\u53ef\u590d\u73b0\u3001\u53ef\u7d2f\u79ef\u3001\u53ef\u5ba1\u8ba1\u7684\u663e\u5f0f\u8bc4\u6d4b\u3002<\/p>\n<p>\u7b2c\u56db\u5c42&#xff0c;\u8bc4\u6d4b\u96c6\u7684\u6700\u5c0f\u53ef\u884c\u5f62\u6001\u3002\u4e0d\u9700\u8981\u4e00\u6b65\u5230\u4f4d&#xff0c;\u4e09\u6837\u4e1c\u897f\u51d1\u9f50\u5c31\u7b97\u7acb\u8d77\u6765\u4e86&#xff1a;\u4e00\u4e2a 200 \u5230 500 \u6761\u3001\u6309\u4e1a\u52a1\u610f\u56fe\u5206\u5c42\u62bd\u6837\u7684\u7528\u4f8b\u96c6&#xff08;\u610f\u56fe\u5982&#xff1a;\u653f\u7b56\u95ee\u7b54\u3001\u8ba2\u5355\u67e5\u8be2\u3001\u8fb9\u754c\u62d2\u7b54\u3001\u591a\u8f6e\u8ffd\u95ee&#xff09;&#xff0c;\u6bcf\u6761\u5e26\u53c2\u8003\u7b54\u6848\u6216\u8bc4\u5206\u6807\u51c6&#xff1b;\u4e00\u5957\u81ea\u52a8\u6253\u5206\u6d41\u7a0b&#xff08;\u4e0b\u4e00\u7bc7\u5efa\u6570\u636e\u96c6&#xff0c;\u7b2c\u4e09\u7bc7\u8bb2\u6253\u5206&#xff09;&#xff1b;\u4e00\u6761 CI \u91cc\u7684\u56de\u5f52\u57fa\u7ebf\u2014\u2014\u6bcf\u6b21 prompt \u6216\u6a21\u578b\u53d8\u66f4\u8dd1\u4e00\u904d&#xff0c;\u51fa\u5206\u5bf9\u6bd4\u3002\u5148\u6709\u7c97\u7cd9\u4f46\u7a33\u5b9a\u7684\u5c3a\u5b50&#xff0c;\u518d\u8c08\u7cbe\u7ec6\u7684\u5c3a\u5b50\u3002<\/p>\n<h3>\u5b9e\u9a8c\u4e00&#xff1a;\u51ed\u611f\u89c9\u9a8c\u6536\u5728\u7edf\u8ba1\u4e0a\u4e3a\u4ec0\u4e48\u4f1a\u7ffb\u8f66<\/h3>\n<p>\u672c\u673a\u65e0\u7b2c\u4e09\u65b9\u4f9d\u8d56&#xff0c;\u4ee5\u4e0b\u7528 Python \u6807\u51c6\u5e93\u505a\u786e\u5b9a\u6027\u6a21\u62df&#xff08;\u56fa\u5b9a\u79cd\u5b50&#xff09;&#xff0c;\u6f14\u793a\u62bd\u6837\u89c4\u6a21\u4e0e\u7ed3\u8bba\u7a33\u5b9a\u6027\u7684\u5173\u7cfb&#xff1b;\u751f\u4ea7\u73af\u5883\u8bf7\u7528\u771f\u5b9e\u8bc4\u6d4b\u5e73\u53f0\u8dd1\u771f\u5b9e\u7528\u4f8b\u3002<\/p>\n<p><span class=\"token keyword\">import<\/span> random<\/p>\n<p>TRUE_A <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.72<\/span>          <span class=\"token comment\"># \u65e7\u7248\u672c\u771f\u5b9e\u901a\u8fc7\u7387<\/span><br \/>\nTRUE_B <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.75<\/span>          <span class=\"token comment\"># \u65b0\u7248\u672c\u771f\u5b9e\u901a\u8fc7\u7387(\u786e\u5b9e\u66f4\u597d)<\/span><br \/>\nTRIALS <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">400<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">trial<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> seed<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    rng <span class=\"token operator\">&#061;<\/span> random<span class=\"token punctuation\">.<\/span>Random<span class=\"token punctuation\">(<\/span>seed<span class=\"token punctuation\">)<\/span><br \/>\n    flips <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n    gaps <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>TRIALS<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        a <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> rng<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&lt;<\/span> TRUE_A<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> n<br \/>\n        b <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> rng<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&lt;<\/span> TRUE_B<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> n<br \/>\n        <span class=\"token keyword\">if<\/span> b <span class=\"token operator\">&lt;&#061;<\/span> a<span class=\"token punctuation\">:<\/span><br \/>\n            flips <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n        gaps<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">abs<\/span><span class=\"token punctuation\">(<\/span>b <span class=\"token operator\">&#8211;<\/span> a<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> flips<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>gaps<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>gaps<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u8bc4\u6d4b\u96c6\u6837\u672c\u91cf\u5bf9\u7ed3\u8bba\u7a33\u5b9a\u6027\u7684\u5f71\u54cd(\u6bcf\u6863 400 \u6b21\u91cd\u590d\u5b9e\u9a8c, \u79cd\u5b50&#061;42):&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6837\u672c\u91cf n | \u8bef\u5224\u7387(\u628a\u66f4\u597d\u7684\u65b0\u7248\u5224\u6210\u6301\u5e73\u6216\u9000\u6b65) | \u5e73\u5747\u8868\u89c2\u5dee\u8ddd&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> n <span class=\"token keyword\">in<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">20<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">50<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">300<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1000<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    flips<span class=\"token punctuation\">,<\/span> mean_gap <span class=\"token operator\">&#061;<\/span> trial<span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> seed<span class=\"token operator\">&#061;<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;n&#061;%4d | %5.1f%% | %.3f&#034;<\/span> <span class=\"token operator\">%<\/span> <span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> flips <span class=\"token operator\">\/<\/span> TRIALS <span class=\"token operator\">*<\/span> <span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> mean_gap<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8fd0\u884c\u8f93\u51fa&#xff1a;<\/p>\n<p>\u8bc4\u6d4b\u96c6\u6837\u672c\u91cf\u5bf9\u7ed3\u8bba\u7a33\u5b9a\u6027\u7684\u5f71\u54cd(\u6bcf\u6863 400 \u6b21\u91cd\u590d\u5b9e\u9a8c, \u79cd\u5b50&#061;42):<br \/>\n\u6837\u672c\u91cf n | \u8bef\u5224\u7387(\u628a\u66f4\u597d\u7684\u65b0\u7248\u5224\u6210\u6301\u5e73\u6216\u9000\u6b65) | \u5e73\u5747\u8868\u89c2\u5dee\u8ddd<br \/>\nn&#061;  20 |  47.0% | 0.114<br \/>\nn&#061;  50 |  40.2% | 0.077<br \/>\nn&#061; 100 |  32.8% | 0.059<br \/>\nn&#061; 300 |  24.2% | 0.038<br \/>\nn&#061;1000 |   6.5% | 0.031<\/p>\n<p>\u8fd9\u7ec4\u6570\u5b57\u503c\u5f97\u88f1\u8d77\u6765\u8d34\u5728\u8bc4\u5ba1\u4f1a\u4e0a&#xff1a;\u4e24\u4e2a\u7248\u672c\u771f\u5b9e\u5dee\u8ddd 3 \u4e2a\u767e\u5206\u70b9\u65f6&#xff0c;20 \u6761\u7528\u4f8b\u7684\u8bc4\u6d4b\u6709 47% \u7684\u6982\u7387\u5f97\u51fa\u53cd\u5411\u7ed3\u8bba\u2014\u2014\u548c\u629b\u786c\u5e01\u4e00\u6837&#xff1b;\u54ea\u6015 100 \u6761\u4ecd\u6709\u8fd1\u4e09\u5206\u4e4b\u4e00\u7684\u8bef\u5224\u7387\u3002\u6ce8\u610f 3 \u4e2a\u767e\u5206\u70b9\u672c\u5c31\u662f&#034;\u52c9\u5f3a\u503c\u5f97\u5207\u6362&#034;\u7684\u5dee\u8ddd&#xff0c;\u5982\u679c\u4f60\u7684\u771f\u5b9e\u63d0\u5347\u53ea\u6709 1 \u4e2a\u70b9&#xff0c;\u9700\u8981\u4e0a\u5343\u6761\u7528\u4f8b\u624d\u770b\u5f97\u89c1\u3002\u8fd9\u4e5f\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u6f14\u793a\u4f1a\u5f0f\u7684\u9a8c\u6536\u603b\u80fd&#034;\u6210\u529f&#034;&#xff1a;\u6f14\u793a\u8005\u6311\u7684\u6848\u4f8b\u3001\u6311\u7684\u8f6e\u6b21&#xff0c;\u76f8\u5f53\u4e8e\u5728 47% \u8bef\u5224\u7387\u4e4b\u4e0a\u518d\u505a\u4e00\u8f6e\u5bf9\u5df1\u6709\u5229\u7684\u7b5b\u9009\u3002<\/p>\n<h3>\u5b9e\u9a8c\u4e8c&#xff1a;\u8981\u591a\u5927\u7684\u5c3a\u5b50\u624d\u914d\u8bf4&#034;\u63d0\u5347\u4e86&#034;<\/h3>\n<p>\u6362\u4e00\u4e2a\u89d2\u5ea6&#xff0c;\u7528\u6b63\u6001\u8fd1\u4f3c\u7b97\u7f6e\u4fe1\u533a\u95f4\u534a\u5bbd&#xff08;\u7eaf\u6807\u51c6\u5e93 math \u5373\u53ef&#xff09;&#xff0c;\u56de\u7b54&#034;n \u6761\u7528\u4f8b\u7684\u901a\u8fc7\u7387\u4f30\u8ba1&#xff0c;\u8bef\u5dee\u5230\u5e95\u6709\u591a\u5927&#034;\u3002<\/p>\n<p><span class=\"token keyword\">import<\/span> math<\/p>\n<p>BASE <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.72<\/span><br \/>\nZ <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1.96<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">half_width<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> Z <span class=\"token operator\">*<\/span> math<span class=\"token punctuation\">.<\/span>sqrt<span class=\"token punctuation\">(<\/span>p <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#8211;<\/span> p<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> n<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u901a\u8fc7\u7387 0.72 \u7684\u70b9\u4f30\u8ba1, \u4e0d\u540c\u6837\u672c\u91cf\u4e0b\u7684 95% \u7f6e\u4fe1\u533a\u95f4(\u6b63\u6001\u8fd1\u4f3c):&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> n <span class=\"token keyword\">in<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">20<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">50<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">200<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">400<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">800<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    h <span class=\"token operator\">&#061;<\/span> half_width<span class=\"token punctuation\">(<\/span>BASE<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;n&#061;%4d  \u534a\u5bbd&#061;%.3f  \u533a\u95f4&#061;[%.3f, %.3f]&#034;<\/span> <span class=\"token operator\">%<\/span> <span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">,<\/span> BASE <span class=\"token operator\">&#8211;<\/span> h<span class=\"token punctuation\">,<\/span> BASE <span class=\"token operator\">&#043;<\/span> h<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>target <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.03<\/span><br \/>\nn <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n<span class=\"token keyword\">while<\/span> half_width<span class=\"token punctuation\">(<\/span>BASE<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">:<\/span><br \/>\n    n <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u8981\u628a\u7f6e\u4fe1\u533a\u95f4\u534a\u5bbd\u538b\u5230 0.03 \u4ee5\u5185, \u5355\u7248\u672c\u6700\u5c11\u9700\u8981 %d \u4e2a\u7528\u4f8b&#034;<\/span> <span class=\"token operator\">%<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u4e24\u4e2a\u7248\u672c\u5404\u81ea\u72ec\u7acb\u8bc4\u6d4b\u65f6, \u6bd4\u8f83\u7684\u6709\u6548\u5dee\u8ddd\u7ea6\u4e3a\u534a\u5bbd\u7684 sqrt(2) \u500d&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u53ef\u5206\u8fa8\u5dee\u8ddd\u4e0b\u9650\u7ea6 %.3f&#034;<\/span> <span class=\"token operator\">%<\/span> <span class=\"token punctuation\">(<\/span>target <span class=\"token operator\">*<\/span> math<span class=\"token punctuation\">.<\/span>sqrt<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><\/p>\n<p>\u8fd0\u884c\u8f93\u51fa&#xff1a;<\/p>\n<p>\u901a\u8fc7\u7387 0.72 \u7684\u70b9\u4f30\u8ba1, \u4e0d\u540c\u6837\u672c\u91cf\u4e0b\u7684 95% \u7f6e\u4fe1\u533a\u95f4(\u6b63\u6001\u8fd1\u4f3c):<br \/>\nn&#061;  20  \u534a\u5bbd&#061;0.197  \u533a\u95f4&#061;[0.523, 0.917]<br \/>\nn&#061;  50  \u534a\u5bbd&#061;0.124  \u533a\u95f4&#061;[0.596, 0.844]<br \/>\nn&#061; 100  \u534a\u5bbd&#061;0.088  \u533a\u95f4&#061;[0.632, 0.808]<br \/>\nn&#061; 200  \u534a\u5bbd&#061;0.062  \u533a\u95f4&#061;[0.658, 0.782]<br \/>\nn&#061; 400  \u534a\u5bbd&#061;0.044  \u533a\u95f4&#061;[0.676, 0.764]<br \/>\nn&#061; 800  \u534a\u5bbd&#061;0.031  \u533a\u95f4&#061;[0.689, 0.751]<br \/>\n\u8981\u628a\u7f6e\u4fe1\u533a\u95f4\u534a\u5bbd\u538b\u5230 0.03 \u4ee5\u5185, \u5355\u7248\u672c\u6700\u5c11\u9700\u8981 861 \u4e2a\u7528\u4f8b<br \/>\n\u4e24\u4e2a\u7248\u672c\u5404\u81ea\u72ec\u7acb\u8bc4\u6d4b\u65f6, \u6bd4\u8f83\u7684\u6709\u6548\u5dee\u8ddd\u7ea6\u4e3a\u534a\u5bbd\u7684 sqrt(2) \u500d<br \/>\n\u53ef\u5206\u8fa8\u5dee\u8ddd\u4e0b\u9650\u7ea6 0.042<\/p>\n<p>20 \u6761\u7528\u4f8b\u6d4b\u51fa\u7684&#034;\u901a\u8fc7\u7387 72%&#034;&#xff0c;\u771f\u5b9e\u533a\u95f4\u662f [52%, 92%]\u2014\u2014\u8fd9\u4e2a\u5206\u6570\u9664\u4e86\u81ea\u6211\u5b89\u6170\u6beb\u65e0\u4fe1\u606f\u91cf\u3002\u8981\u628a\u4e0d\u786e\u5b9a\u5ea6\u538b\u5230 \u00b13 \u4e2a\u70b9&#xff0c;\u5355\u7248\u672c\u9700\u8981\u8fd1 900 \u6761&#xff1b;\u4e24\u7248\u5bf9\u6bd4\u65f6\u53ef\u5206\u8fa8\u5dee\u8ddd\u8fdb\u4e00\u6b65\u653e\u5927\u5230 4 \u4e2a\u70b9\u4e0a\u4e0b\u3002\u5de5\u7a0b\u4e0a\u4ece\u4e2d\u5f97\u5230\u4e24\u6761\u786c\u7ed3\u8bba&#xff1a;\u5176\u4e00&#xff0c;\u8bc4\u6d4b\u96c6\u89c4\u6a21\u662f\u6309&#034;\u4f60\u60f3\u5206\u8fa8\u591a\u5927\u7684\u5dee\u8ddd&#034;\u5012\u63a8\u51fa\u6765\u7684&#xff0c;\u4e0d\u662f\u62cd\u8111\u888b\u5b9a 100 \u6761&#xff1b;\u5176\u4e8c&#xff0c;\u540c\u4e00\u6279\u7528\u4f8b\u8981\u6253\u5728\u4e24\u4e2a\u7248\u672c\u4e0a\u505a\u914d\u5bf9\u6bd4\u8f83&#xff0c;\u6bd4\u4e24\u4e2a\u72ec\u7acb\u6837\u672c\u6bd4\u8f83\u7075\u654f\u5f97\u591a\u2014\u2014\u8fd9\u6b63\u662f\u7b2c\u56db\u7bc7\u56de\u5f52\u6d4b\u8bd5\u91c7\u7528&#034;\u540c\u6848\u4f8b\u96c6\u9010\u6761 diff&#034;\u800c\u4e0d\u662f\u53ea\u770b\u603b\u5206\u7684\u539f\u56e0\u3002<\/p>\n<h3>\u5de5\u7a0b\u843d\u5730\u8def\u5f84<\/h3>\n<p>\u7b2c\u4e00\u6b65&#xff0c;\u4ece\u7ebf\u4e0a\u65e5\u5fd7\u51b7\u542f\u52a8\u3002\u6ca1\u6709\u8bc4\u6d4b\u96c6\u7684\u56e2\u961f\u51e0\u4e4e\u4e00\u5b9a\u6709\u5bf9\u8bdd\u65e5\u5fd7&#xff1a;\u5ba2\u670d\u7cfb\u7edf\u3001API \u8bf7\u6c42\u8bb0\u5f55\u3001\u53cd\u9988\u8868\u3002\u6309\u4e1a\u52a1\u610f\u56fe\u5206\u6876\u62bd\u6837 300 \u6761&#xff0c;\u4eba\u5de5\u8fc7\u4e00\u904d\u6311\u51fa&#034;\u7b54\u9519\u7684\u3001\u53ef\u7591\u7684\u3001\u5178\u578b\u7684&#034;\u4e09\u7c7b&#xff0c;\u6807\u6ce8\u9884\u671f\u884c\u4e3a&#xff08;\u5e94\u8be5\u5f15\u7528\u54ea\u6761\u653f\u7b56\u3001\u5e94\u8be5\u62d2\u7b54\u3001\u5e94\u8be5\u8ffd\u95ee\u4ec0\u4e48&#xff09;\u3002\u4e24\u4e09\u4e2a\u4eba\u5de5\u65e5\u5c31\u80fd\u7acb\u8d77\u7b2c\u4e00\u7248&#xff0c;\u5148\u8dd1\u901a\u94fe\u8def\u518d\u8ffd\u6c42\u89c4\u6a21\u3002<\/p>\n<p>\u7b2c\u4e8c\u6b65&#xff0c;\u8bc4\u5206\u6807\u51c6\u5199\u5230\u5b57\u7b26\u4e32\u7ea7\u3002\u6bcf\u6761\u7528\u4f8b\u9664\u4e86\u53c2\u8003\u7b54\u6848&#xff0c;\u8fd8\u8981\u5199&#034;\u5224\u5206\u8981\u70b9&#034;&#xff1a;\u5fc5\u987b\u5305\u542b\u9000\u6b3e\u65f6\u6548\u4e09\u4e2a\u5b57\u3001\u5fc5\u987b\u4e0d\u627f\u8bfa\u5177\u4f53\u5230\u8d26\u65e5\u3001\u51fa\u73b0\u7535\u8bdd\u53f7\u7801\u5373\u5224\u9519\u3002\u8981\u70b9\u5f0f\u6807\u51c6\u8ba9\u4e0d\u540c\u6807\u6ce8\u5458\u7ed3\u8bba\u8d8b\u4e8e\u4e00\u81f4&#xff0c;\u4e5f\u662f\u7b2c\u4e09\u7bc7 LLM-as-judge \u63d0\u793a\u8bcd\u7684\u539f\u6599\u3002<\/p>\n<p>\u7b2c\u4e09\u6b65&#xff0c;\u5206\u6570\u8fdb CI&#xff0c;\u57fa\u7ebf\u8fdb\u6863\u6848\u3002\u6bcf\u6b21 prompt\/\u6a21\u578b\/\u68c0\u7d22\u53c2\u6570\u53d8\u66f4\u81ea\u52a8\u8dd1\u8bc4\u6d4b&#xff0c;\u5206\u6570\u4e0e\u53d8\u66f4\u53f7\u7ed1\u5b9a\u5b58\u6863\u3002\u8bc4\u6d4b\u96c6\u672c\u8eab\u4e5f\u662f\u4ee3\u7801&#xff1a;\u8fdb\u7248\u672c\u5e93\u3001\u6709 owner\u3001\u6709 review&#xff0c;\u88ab\u4e1a\u52a1\u65b9\u6295\u8bc9&#034;\u7b54\u975e\u6240\u95ee&#034;\u7684\u6848\u4f8b\u5148\u8fdb\u76d1\u63a7\u540d\u5355\u3001\u5b63\u5ea6\u8bc4\u5ba1\u540e\u664b\u5347\u4e3a\u7528\u4f8b\u2014\u2014\u6570\u636e\u96c6\u8981\u968f\u4e1a\u52a1\u751f\u957f&#xff0c;\u5426\u5219\u534a\u5e74\u540e\u5b83\u5c31\u6d4b\u4e0d\u5230\u771f\u5b9e\u5206\u5e03\u4e86\u3002<\/p>\n<h3>\u5e38\u89c1\u9677\u9631<\/h3>\n<p>\u5176\u4e00&#xff0c;\u7528\u901a\u7528 benchmark&#xff08;MMLU\u3001GSM8K \u8fd9\u7c7b&#xff09;\u4ee3\u66ff\u4e1a\u52a1\u8bc4\u6d4b&#xff1a;\u699c\u4e0a\u5206\u6570\u4e0e\u4f60\u7684\u552e\u540e\u95ee\u7b54\u8d28\u91cf\u51e0\u4e4e\u4e0d\u76f8\u5173&#xff0c;\u6a21\u578b\u9009\u578b\u5fc5\u987b\u4ee5\u81ea\u5df1\u7684\u8bc4\u6d4b\u96c6\u4e3a\u51c6\u3002\u5176\u4e8c&#xff0c;\u8bc4\u6d4b\u96c6\u4e0e\u8bad\u7ec3\/\u63d0\u793a\u793a\u4f8b\u540c\u6e90&#xff1a;\u628a\u8c03 prompt \u65f6\u7528\u8fc7\u7684\u6848\u4f8b\u7559\u5728\u8bc4\u6d4b\u96c6\u91cc&#xff0c;\u7b49\u4e8e\u5f00\u5377\u8003\u8bd5&#xff0c;\u5206\u6570\u865a\u9ad8\u4e14\u63a9\u76d6\u771f\u95ee\u9898\u2014\u2014\u8c03 prompt 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