{"id":1045,"date":"2025-08-13T13:27:00","date_gmt":"2025-08-13T05:27:00","guid":{"rendered":"http:\/\/www.applicationsofllm.com\/?p=1045"},"modified":"2025-09-17T13:33:45","modified_gmt":"2025-09-17T05:33:45","slug":"%e8%b0%b7%e6%ad%8cai%e6%96%b0%e9%87%8c%e7%a8%8b%e7%a2%91%ef%bc%9a%e4%b8%80%e4%b8%aa%e8%83%bd%e3%80%8c%e5%81%9a%e7%a0%94%e7%a9%b6%e3%80%8d%e7%9a%84%e7%b3%bb%e7%bb%9f%e8%af%9e%e7%94%9f%e4%ba%86%ef%bc%8c","status":"publish","type":"post","link":"http:\/\/www.applicationsofllm.com\/index.php\/2025\/08\/13\/%e8%b0%b7%e6%ad%8cai%e6%96%b0%e9%87%8c%e7%a8%8b%e7%a2%91%ef%bc%9a%e4%b8%80%e4%b8%aa%e8%83%bd%e3%80%8c%e5%81%9a%e7%a0%94%e7%a9%b6%e3%80%8d%e7%9a%84%e7%b3%bb%e7%bb%9f%e8%af%9e%e7%94%9f%e4%ba%86%ef%bc%8c\/","title":{"rendered":"\u8c37\u6b4cAI\u65b0\u91cc\u7a0b\u7891\uff1a\u4e00\u4e2a\u80fd\u300c\u505a\u7814\u7a76\u300d\u7684\u7cfb\u7edf\u8bde\u751f\u4e86\uff0c\u7528LLM+\u6811\u641c\u7d22\u7f16\u5199\u4e13\u5bb6\u7ea7\u8f6f\u4ef6"},"content":{"rendered":"\n<p>\u5927\u6a21\u578b\u5728\u79d1\u7814\u9886\u57df\u8d8a\u6765\u8d8a\u9ad8\u6548\u4e86\u3002<\/p>\n\n\n\n<p>\u8c37\u6b4c\u53d1\u8868\u4e86\u4e00\u7bc7\u91cd\u78c5\u6587\u7ae0\uff0c\u63d0\u51fa\u4e86\u4e00\u4e2a\u80fd\u591f\u5e2e\u52a9\u79d1\u7814\u4eba\u5458\u7f16\u5199\u300c\u4e13\u5bb6\u7ea7\u300d\u79d1\u7814\u8f6f\u4ef6\u7684 AI 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class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"519\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-327-1024x519.jpg\" alt=\"\" class=\"wp-image-1047\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-327-1024x519.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-327-300x152.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-327-768x390.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-327.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bba\u6587\u6807\u9898\uff1aAn AI system to help scientists write expert-level empirical software<\/li>\n\n\n\n<li>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/www.alphaxiv.org\/abs\/2509.06503v1<\/li>\n<\/ul>\n\n\n\n<p>\u5982\u6b64\u8fd9\u822c\uff0c\u79d1\u7814\u4eba\u5458\u5728\u5404\u4e2a\u9886\u57df\u7684\u7814\u7a76\u4e2d\u90fd\u80fd\u591f\u4f7f\u7528\u8fd9\u4e00 AI \u7cfb\u7edf\u6765\u6784\u5efa\u5168\u65b0\u7684\u7814\u7a76\u601d\u8def\u548c\u5b9e\u8bc1\u7a0b\u5e8f\uff0c\u80fd\u591f\u66f4\u9ad8\u6548\u5730\u8fdb\u884c\u79d1\u5b66\u7814\u7a76\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"227\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-326-1024x227.jpg\" alt=\"\" class=\"wp-image-1046\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-326-1024x227.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-326-300x67.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-326-768x171.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-326.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>AI \u5728\u79d1\u7814\u9886\u57df\u7684\u5e94\u7528\u4e00\u76f4\u4ee5\u81ea\u52a8\u5316\u7684\u7279\u6027\u4e3a\u4e3b\uff0c\u80fd\u591f\u8f85\u52a9\u79d1\u7814\u4eba\u5458\u8fdb\u884c\u53ef\u884c\u6027\u9a8c\u8bc1\uff0c\u5b8c\u6210\u4e00\u4e9b\u91cd\u590d\u7684\u9ad8\u5f3a\u5ea6\u5de5\u4f5c\uff0c\u51cf\u5c11\u79d1\u7814\u4eba\u5458\u5728\u91cd\u590d\u9a8c\u8bc1\u3001\u8c03\u8bd5\u7a0b\u5e8f\u7b49\u5de5\u4f5c\u4e0a\u6d6a\u8d39\u7684\u65f6\u95f4\uff0c\u66f4\u80fd\u591f\u6fc0\u53d1\u79d1\u7814\u4eba\u5458\u7684\u521b\u65b0\u601d\u7ef4\u3002<\/p>\n\n\n\n<p>\u8c37\u6b4c\u7684\u8fd9\u4e2a\u7cfb\u7edf\u80fd\u591f\u5b9e\u73b0\u7814\u7a76\u601d\u8def\u7684\u6574\u5408\u4e0e\u91cd\u7ec4\uff0c\u5728\u79d1\u7814\u4efb\u52a1\u4e2d\u80fd\u591f\u521b\u5efa\u4e00\u4e9b\u65b0\u7684\u7b56\u7565\uff0c\u6784\u5efa\u66f4\u9ad8\u6548\u7684\u6a21\u578b\uff0c\u8ba9 AI 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http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-328.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8c37\u6b4c\u8fd9\u4e00\u6b21\u7684 AI \u7cfb\u7edf\u4ecd\u7136\u5177\u6709\u5f88\u5927\u7684\u5c40\u9650\u6027\uff0c\u7cfb\u7edf\u7684\u6784\u5efa\u76ee\u6807\u662f\u300c\u53ef\u8bc4\u5206\u7684\u79d1\u5b66\u4efb\u52a1\u300d\u2014\u2014 \u5373\u90a3\u4e9b\u53ef\u4ee5\u901a\u8fc7\u51c6\u786e\u7387\u3001\u8bef\u5dee\u7387\u6216\u57fa\u51c6\u6d4b\u8bd5\u6392\u540d\u7b49\u6307\u6807\u6765\u91cf\u5316\u8f6f\u4ef6\u6027\u80fd\u7684\u8ba1\u7b97\u95ee\u9898\uff0c\u867d\u8986\u76d6\u4e86\u5e7f\u6cdb\u7684\u79d1\u7814\u9886\u57df\uff0c\u4f46\u672a\u63d0\u53ca\u90a3\u4e9b\u4e0d\u53ef\u91cf\u5316\u8bc4\u4f30\u7684\u4efb\u52a1\u8868\u73b0\u3002<\/p>\n\n\n\n<p>\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u524d\u8c37\u6b4c\u641c\u7d22\u6210\u5458 Deedy Das 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src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-332-1024x315.jpg\" alt=\"\" class=\"wp-image-1052\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-332-1024x315.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-332-300x92.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-332-768x236.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-332.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" 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alt=\"\" class=\"wp-image-1050\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-330-1024x907.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-330-300x266.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-330-768x680.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-330.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><sup>\u56fe 1: &nbsp;(a) \u7cfb\u7edf\u67b6\u6784\uff1a\u5c55\u793a\u4e86\u53ef\u8bc4\u5206\u95ee\u9898\u4e0e\u7814\u7a76\u601d\u8def\u5982\u4f55\u8f93\u5165\u5230\u5927\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\uff0c\u7531\u5176\u751f\u6210\u4ee3\u7801\uff0c\u5e76\u5728\u6c99\u76d2\u73af\u5883\u4e2d\u8fdb\u884c\u8bc4\u4f30\uff0c\u7ed3\u679c\u4ee5\u6811\u641c\u7d22\u7ed3\u6784\u8fdb\u884c\u7ec4\u7ec7\u3002(b) 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\u5373\u90a3\u4e9b\u53ef\u4ee5\u901a\u8fc7\u51c6\u786e\u7387\u3001\u8bef\u5dee\u7387\u6216\u57fa\u51c6\u6d4b\u8bd5\u6392\u540d\u7b49\u6307\u6807\u6765\u91cf\u5316\u8f6f\u4ef6\u6027\u80fd\u7684\u8ba1\u7b97\u95ee\u9898\u3002\u8fd9\u7c7b\u4efb\u52a1\u6db5\u76d6\u4e86\u4ece\u57fa\u56e0\u7ec4\u5b66\u5230\u6d41\u884c\u75c5\u5b66\u518d\u5230\u56fe\u50cf\u5206\u6790\u7b49\u5e7f\u6cdb\u7684\u79d1\u5b66\u8ba1\u7b97\u5e94\u7528\u3002<\/p>\n\n\n\n<p>\u8be5\u65b9\u6cd5\u8bba\u56f4\u7ed5\u4e09\u4e2a\u6838\u5fc3\u7ec4\u4ef6\u534f\u540c\u5de5\u4f5c\uff1a<\/p>\n\n\n\n<p><strong>1. \u57fa\u4e8e LLM \u7684\u4ee3\u7801\u53d8\u5f02<\/strong><\/p>\n\n\n\n<p>\u4e0d\u540c\u4e8e\u4ece\u96f6\u751f\u6210\u4ee3\u7801\uff0cLLM \u4f1a\u6301\u7eed\u91cd\u5199\u5e76\u4f18\u5316\u5df2\u6709\u7684\u5019\u9009\u4ee3\u7801\u3002\u7cfb\u7edf\u5229\u7528 LLM \u5bf9\u7f16\u7a0b\u903b\u8f91\u548c\u9886\u57df\u4e0a\u4e0b\u6587\u7684\u7406\u89e3\uff0c\u7ed3\u5408\u7814\u7a76\u601d\u8def\u548c\u6027\u80fd\u53cd\u9988\uff0c\u8fdb\u884c\u667a\u80fd\u5316\u4fee\u6539\u548c\u6539\u8fdb\u3002<\/p>\n\n\n\n<p><strong>2. \u6811\u641c\u7d22\u5bfc\u822a<\/strong><\/p>\n\n\n\n<p>\u4ee3\u7801\u751f\u6210\u8fc7\u7a0b\u88ab\u5d4c\u5165\u5230\u6811\u641c\u7d22\u7b97\u6cd5\u4e2d\uff0c\u4ee5\u7cfb\u7edf\u5316\u65b9\u5f0f\u63a2\u7d22\u5e9e\u5927\u7684\u8f6f\u4ef6\u89e3\u7a7a\u95f4\u3002\u641c\u7d22\u8fc7\u7a0b\u5728\u300c\u5229\u7528\u300d\uff08\u96c6\u4e2d\u6539\u8fdb\u5df2\u6709\u7684\u4f18\u8d28\u89e3\uff09\u548c\u300c\u63a2\u7d22\u300d\uff08\u5bfb\u627e\u5168\u65b0\u65b9\u6cd5\uff09\u4e4b\u95f4\u53d6\u5f97\u5e73\u8861\uff0c\u4f7f\u7528\u4e86\u4e00\u79cd\u53d7 AlphaZero \u542f\u53d1\u7684 PUCT \u7b97\u6cd5\u53d8\u4f53\u3002<\/p>\n\n\n\n<p><strong>3. \u7814\u7a76\u601d\u8def\u7684\u878d\u5408<\/strong><\/p>\n\n\n\n<p>\u8be5\u7cfb\u7edf\u7684\u4e00\u5927\u7279\u8272\u662f\u80fd\u591f\u901a\u8fc7\u591a\u79cd\u6e20\u9053\u5f15\u5165\u5916\u90e8\u77e5\u8bc6\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u76f4\u63a5\u6ce8\u5165\u6765\u81ea\u79d1\u5b66\u8bba\u6587\u548c\u6559\u6750\u7684\u7814\u7a76\u601d\u8def<\/li>\n\n\n\n<li>\u5229\u7528\u5982 Gemini Deep Research \u7b49\u5de5\u5177\u751f\u6210 LLM \u7814\u7a76\u89c1\u89e3<\/li>\n\n\n\n<li>\u7a0b\u5e8f\u5316\u5730\u91cd\u7ec4\u5df2\u6709\u6210\u529f\u65b9\u6848\uff0c\u5f62\u6210\u6df7\u5408\u7b56\u7565<\/li>\n<\/ul>\n\n\n\n<p>\u8be5\u7cfb\u7edf\u5728 Kaggle playground \u7ade\u8d5b\u4e2d\u5f00\u53d1\u4e0e\u8fed\u4ee3\uff0c\u56e0\u5176\u5177\u6709\u5feb\u901f\u8fed\u4ee3\u5468\u671f\u548c\u6e05\u6670\u7684\u4eba\u7c7b\u8868\u73b0\u57fa\u51c6\uff0c\u6210\u4e3a\u7406\u60f3\u7684\u6d4b\u8bd5\u5e73\u53f0\u3002<\/p>\n\n\n\n<p><strong>\u8de8\u79d1\u5b66\u9886\u57df\u7684\u4e3b\u8981\u6210\u679c<\/strong><\/p>\n\n\n\n<p><strong>\u57fa\u56e0\u7ec4\u5b66\uff1a\u5355\u7ec6\u80de RNA \u6d4b\u5e8f<\/strong><\/p>\n\n\n\n<p>\u5728\u4ece\u5355\u7ec6\u80de RNA \u6d4b\u5e8f\u6570\u636e\u4e2d\u53bb\u9664\u6280\u672f\u6279\u6b21\u6548\u5e94\u540c\u65f6\u4fdd\u7559\u751f\u7269\u5b66\u4fe1\u53f7\u7684\u6311\u6218\u6027\u4efb\u52a1\u4e2d\uff0c\u8be5\u7cfb\u7edf\u53d1\u73b0\u4e86 40 \u79cd\u65b0\u65b9\u6cd5\uff0c\u5176\u6027\u80fd\u4f18\u4e8e OpenProblems \u6392\u884c\u699c\u4e0a\u6240\u6709\u5df2\u53d1\u8868\u7684\u65b9\u6cd5\u3002\u6027\u80fd\u6700\u4f73\u7684\u65b9\u6cd5 BBKNN (TS) \u901a\u8fc7\u5c06 ComBat \u6821\u6b63\u7684 PCA \u5d4c\u5165\u4e0e\u6279\u6b21\u5e73\u8861 K \u8fd1\u90bb\u76f8\u7ed3\u5408\uff0c\u6bd4\u73b0\u6709\u6700\u4f73\u65b9\u6cd5\uff08ComBat\uff09\u63d0\u9ad8\u4e86 14%\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"501\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-331-1024x501.jpg\" alt=\"\" class=\"wp-image-1051\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-331-1024x501.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-331-300x147.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-331-768x376.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-331.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><sup>\u56fe 2\uff1a\u6811\u641c\u7d22\u8fdb\u5c55\u56fe\uff0c\u663e\u793a\u4e86\u8fed\u4ee3\u8fc7\u7a0b\u4e2d\u6027\u80fd\u7684\u63d0\u9ad8\uff0c\u5e76\u5728\u7a81\u7834\u70b9\u5904\u6807\u6ce8\u4e86\u5173\u952e\u7b97\u6cd5\u521b\u65b0\u3002\u8be5\u7cfb\u7edf\u53d1\u73b0\u4e86\u4f18\u5316\u6279\u6b21\u611f\u77e5\u56fe\u6784\u5efa\u548c\u5b9e\u73b0 ComBat \u57fa\u56e0\u8868\u8fbe\u6821\u6b63\u7684\u65b9\u6cd5\u3002<\/sup><\/p>\n\n\n\n<p><strong>\u5730\u7406\u7a7a\u95f4\u5206\u6790\uff1a\u536b\u661f\u56fe\u50cf\u5206\u5272<\/strong><\/p>\n\n\n\n<p>\u5728\u4f7f\u7528 DLRSD \u6570\u636e\u96c6\u8fdb\u884c\u536b\u661f\u56fe\u50cf\u7684\u5bc6\u96c6\u50cf\u7d20\u7ea7\u8bed\u4e49\u5206\u5272\u65f6\uff0c\u8be5\u7cfb\u7edf\u7684\u524d\u4e09\u540d\u89e3\u51b3\u65b9\u6848\u663e\u8457\u4f18\u4e8e\u6700\u8fd1\u7684\u5b66\u672f\u8bba\u6587\uff0c\u5e73\u5747\u4ea4\u5e76\u6bd4\u5206\u6570\u5927\u4e8e 0.80\u3002\u8fd9\u4e9b\u89e3\u51b3\u65b9\u6848\u57fa\u4e8e\u73b0\u6709\u67b6\u6784\uff08UNet++\u3001SegFormer\uff09\uff0c\u4f46\u4f18\u5316\u4e86\u5b83\u4eec\u4e0e\u5f3a\u5927\u7684\u9884\u8bad\u7ec3\u7f16\u7801\u5668\u548c\u5e7f\u6cdb\u6570\u636e\u589e\u5f3a\u7b56\u7565\u7684\u96c6\u6210\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"696\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-333-1024x696.jpg\" alt=\"\" class=\"wp-image-1053\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-333-1024x696.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-333-300x204.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-333-768x522.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-333.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><sup>\u56fe 3\uff1a\u536b\u661f\u56fe\u50cf\u5206\u5272\u7ed3\u679c\u793a\u4f8b\uff0c\u663e\u793a\u539f\u59cb\u56fe\u50cf\uff08\u9876\u884c\uff09\u3001\u771f\u5b9e\u63a9\u6a21\uff08\u4e2d\u884c\uff09\u548c\u7cfb\u7edf\u9884\u6d4b\uff08\u5e95\u884c\uff09\u3002\u7cfb\u7edf\u6210\u529f\u5206\u5272\u4e86\u5305\u62ec\u673a\u573a\u3001\u8dd1\u9053\u3001\u98de\u673a\u548c\u57fa\u7840\u8bbe\u65bd\u5728\u5185\u7684\u5404\u79cd\u7279\u5f81\u3002<\/sup><\/p>\n\n\n\n<p><strong>\u795e\u7ecf\u79d1\u5b66\uff1a\u5168\u8111\u795e\u7ecf\u6d3b\u52a8\u9884\u6d4b<\/strong><\/p>\n\n\n\n<p>\u5728\u6591\u9a6c\u9c7c\u5927\u8111\u4e2d\u5efa\u6a21\u8d85\u8fc7 70,000 \u4e2a\u795e\u7ecf\u5143\u7684\u6d3b\u52a8\uff08ZAPBench\uff09\u65f6\uff0c\u7cfb\u7edf\u751f\u6210\u7684\u6700\u4f73\u6a21\u578b\u5728\u591a\u6b65\u9884\u6d4b\u65b9\u9762\u4f18\u4e8e\u6240\u6709\u57fa\u7ebf\uff0c\u5e76\u4e14\u8bad\u7ec3\u901f\u5ea6\u6bd4\u7ade\u4e89\u89c6\u9891\u6a21\u578b\u5feb\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002\u8be5\u7cfb\u7edf\u6210\u529f\u5730\u5c06\u751f\u7269\u7269\u7406\u795e\u7ecf\u5143\u6a21\u62df\u5668\uff08Jaxley\uff09\u6574\u5408\u5230\u9ad8\u6027\u80fd\u89e3\u51b3\u65b9\u6848\u4e2d\u3002<\/p>\n\n\n\n<p><strong>\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b<\/strong><\/p>\n\n\n\n<p>\u5728\u6db5\u76d6 28 \u4e2a\u4e0d\u540c\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u96c6\u7684 GIFT-Eval \u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0c\u8be5\u7cfb\u7edf\u5728\u591a\u4e2a\u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\u4f18\u4e8e\u6392\u884c\u699c\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5b83\u4ece\u5934\u5f00\u59cb\u521b\u5efa\u4e86\u4e00\u4e2a\u7edf\u4e00\u7684\u9884\u6d4b\u5e93\uff0c\u8be5\u5e93\u80fd\u81ea\u9002\u5e94\u5730\u914d\u7f6e\u5230\u4e0d\u540c\u7684\u6570\u636e\u96c6\uff0c\u5e76\u5c06\u65f6\u95f4\u5e8f\u5217\u5206\u89e3\u4e3a\u5404\u4e2a\u7ec4\u6210\u90e8\u5206\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"593\" src=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-334-1024x593.jpg\" alt=\"\" class=\"wp-image-1054\" srcset=\"http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-334-1024x593.jpg 1024w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-334-300x174.jpg 300w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-334-768x445.jpg 768w, http:\/\/www.applicationsofllm.com\/wp-content\/uploads\/2025\/09\/image-334.jpg 1108w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><sup>\u56fe 4\uff1a\u7cfb\u7edf\u53d1\u73b0\u7684\u6210\u529f\u9884\u6d4b\u65b9\u6cd5\u7684\u5206\u5e03\u3002\u68af\u5ea6\u63d0\u5347\u65b9\u6cd5\uff08GBM\uff09\u548c\u96c6\u6210\u65b9\u6cd5\u5728\u5404\u79cd\u9884\u6d4b\u4efb\u52a1\u4e2d\u662f\u6700\u5e38\u6210\u529f\u7684\u7b56\u7565\u3002<\/sup><\/p>\n\n\n\n<p><strong>\u6570\u503c\u5206\u6790\uff1a\u590d\u6742\u79ef\u5206<\/strong><\/p>\n\n\n\n<p>\u5bf9\u4e8e\u8bc4\u4f30\u5177\u6709\u65e0\u9650\u9650\u5ea6\u7684\u632f\u8361\u79ef\u5206\uff08\u5176\u4e2d scipy.integrate.quad () \u7b49\u6807\u51c6\u7b97\u6cd5\u5b8c\u5168\u5931\u6548\uff09\u65f6\uff0c\u6f14\u5316\u51fa\u7684\u4ee3\u7801\u6b63\u786e\u8bc4\u4f30\u4e86 19 \u4e2a\u7559\u51fa\u79ef\u5206\u4e2d\u7684 17 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