{"id":253,"date":"2025-10-15T00:50:00","date_gmt":"2025-10-14T16:50:00","guid":{"rendered":"https:\/\/smartaiunion.com\/?p=253"},"modified":"2025-10-14T20:06:13","modified_gmt":"2025-10-14T12:06:13","slug":"%e4%bb%8e-%e7%ad%94%e6%a1%88-%e5%88%b0-%e6%80%9d%e8%80%83%ef%bc%9a%e9%9d%a2%e5%90%91%e5%a4%a7%e8%af%ad%e8%a8%80%e6%a8%a1%e5%9e%8b%e4%bc%98%e5%8c%96%e7%9a%84","status":"publish","type":"post","link":"https:\/\/smartaiunion.com\/index.php\/2025\/10\/15\/253\/","title":{"rendered":"\u4ece \u201c\u7b54\u6848\u201d \u5230 \u201c\u601d\u8003\u201d\uff1a\u9762\u5411\u5927\u8bed\u8a00\u6a21\u578b\u4f18\u5316\u7684\u63a8\u7406\u8fc7\u7a0b\u591a\u7ef4\u5ea6\u76d1\u7763"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u6458\u8981<\/h2>\n\n\n\n<p>\u63d0\u5347\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u7684\u591a\u6b65\u63a8\u7406\u80fd\u529b\u662f\u4e00\u9879\u5173\u952e\u4e14\u5177\u6709\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002\u76ee\u524d\u4e3b\u6d41\u7684\u8303\u5f0f \u2014\u2014 \u7ed3\u679c\u76d1\u7763\u5f3a\u5316\u5b66\u4e60\uff08RLVR\uff09\u4ec5\u5bf9\u6b63\u786e\u7684\u6700\u7ec8\u7b54\u6848\u8fdb\u884c\u5956\u52b1\uff0c\u8fd9\u5f80\u5f80\u4f1a\u5bfc\u81f4\u6709\u7f3a\u9677\u7684\u63a8\u7406\u8fc7\u7a0b\u88ab\u4f20\u64ad\uff0c\u5e76\u4e14\u5b58\u5728\u5956\u52b1\u4fe1\u53f7\u7a00\u758f\u7684\u95ee\u9898\u3002\u5c3d\u7ba1\u8fc7\u7a0b\u7ea7\u5956\u52b1\u6a21\u578b\uff08PRMs\uff09\u80fd\u63d0\u4f9b\u66f4\u5bc6\u96c6\u7684\u3001\u9010\u6b65\u9aa4\u7684\u53cd\u9988\uff0c\u4f46\u5b83\u4eec\u7f3a\u4e4f\u6cdb\u5316\u6027\u548c\u53ef\u89e3\u91ca\u6027\uff0c\u4e14\u9700\u8981\u5bf9\u63a8\u7406\u8fc7\u7a0b\u8fdb\u884c\u7279\u5b9a\u4e8e\u4efb\u52a1\u7684\u5206\u5272\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u63d0\u51fa\u4e86<strong>\u7ef4\u5ea6\u7ea7\u5956\u52b1\u6a21\u578b\uff08DRM\uff09<\/strong>\u2014\u2014 \u4e00\u79cd\u65b0\u7684\u76d1\u7763\u6846\u67b6\uff0c\u65e8\u5728\u5f25\u5408\u4e0a\u8ff0\u4e24\u79cd\u65b9\u6cd5\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002DRM \u4ece\u4e09\u4e2a\u57fa\u7840\u3001\u4e92\u8865\u4e14\u53ef\u89e3\u91ca\u7684\u7ef4\u5ea6\u5bf9\u63a8\u7406\u8fc7\u7a0b\u8d28\u91cf\u8fdb\u884c\u8bc4\u4f30\uff1a\u7528\u4e8e\u4e0d\u786e\u5b9a\u6027\u6821\u51c6\u7684 \u201c\u7f6e\u4fe1\u5ea6\uff08Confidence\uff09\u201d\u3001\u7528\u4e8e\u8bed\u4e49\u5bf9\u9f50\u7684 \u201c\u76f8\u5173\u6027\uff08Relevance\uff09\u201d\uff0c\u4ee5\u53ca\u7528\u4e8e\u903b\u8f91\u4e00\u81f4\u6027\u7684 \u201c\u8fde\u8d2f\u6027\uff08Coherence\uff09\u201d\u3002\u8fd9\u4e09\u4e2a\u7ef4\u5ea6\u5171\u540c\u6355\u6349\u4e86\u8d85\u8d8a\u6700\u7ec8\u7b54\u6848\u6b63\u786e\u6027\u7684\u591a\u4e2a\u65b9\u9762\uff0c\u4e14\u65e0\u9700\u771f\u5b9e\u6807\u7b7e\u5373\u53ef\u5b9e\u73b0\u53ef\u89e3\u91ca\u7684\u8bc4\u4f30\u3002\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff0cDRM \u80fd\u63d0\u4f9b\u6709\u6548\u7684\u76d1\u7763\u4fe1\u53f7\uff0c\u5f15\u5bfc\u5927\u8bed\u8a00\u6a21\u578b\u7684\u4f18\u5316\u5e76\u63d0\u5347\u5176\u63a8\u7406\u80fd\u529b\u3002\u5177\u4f53\u800c\u8a00\uff0c\u57fa\u4e8e DRM \u76d1\u7763\u7684\u8bad\u7ec3\u5728\u5206\u5e03\u5185\u548c\u5206\u5e03\u5916\u7684\u5f00\u653e\u57df\u4efb\u52a1\uff08\u5305\u62ec\u6570\u5b66\u3001\u95ee\u7b54\u3001\u4ee3\u7801\u6267\u884c\u548c\u8c1c\u9898\u6c42\u89e3\uff09\u4e2d\u5747\u5b9e\u73b0\u4e86\u7a33\u5b9a\u7684\u6027\u80fd\u63d0\u5347\u3002\u7814\u7a76\u7ed3\u679c\u8bc1\u660e\uff0c\u5bf9\u63a8\u7406\u8fc7\u7a0b\u7684\u591a\u7ef4\u5ea6\u76d1\u7763\u80fd\u591f\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\u5728\u8bad\u7ec3\u5206\u5e03\u4e4b\u5916\u7684\u6cdb\u5316\u63a8\u7406\u80fd\u529b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1 \u5f15\u8a00<\/h2>\n\n\n\n<p>\u5728\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u7684\u53d1\u5c55\u8fc7\u7a0b\u4e2d\uff0c\u63d0\u5347\u5176\u6267\u884c\u590d\u6742\u591a\u6b65\u63a8\u7406\u7684\u80fd\u529b\u59cb\u7ec8\u662f\u6838\u5fc3\u6311\u6218\u4e4b\u4e00\uff08Zhang et al., 2025b\uff1bXu et al., 2025\uff09\u3002\u76ee\u524d\u4e3b\u6d41\u7684\u589e\u5f3a\u8303\u5f0f\u4f9d\u8d56\u4e8e<strong>\u5e26\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\uff08RLVR\uff09<\/strong>\uff08Shao et al., 2024\uff1bYang et al., 2024\uff1bLuo et al., 2024\uff09\uff0c\u8be5\u8303\u5f0f\u5728\u7ed3\u679c\u5c42\u9762\u8fdb\u884c\u76d1\u7763\uff0c\u4ec5\u5f53\u6700\u7ec8\u7b54\u6848\u6b63\u786e\u65f6\u624d\u7ed9\u4e88\u6b63\u5411\u5956\u52b1\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u5956\u52b1\u673a\u5236\u5b58\u5728\u6839\u672c\u6027\u5c40\u9650\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5ffd\u89c6\u63a8\u7406\u8fc7\u7a0b\u8d28\u91cf<\/strong>\uff1a\u4ec5\u5bf9\u7b54\u6848\u8fdb\u884c\u76d1\u7763\u4f1a\u5ffd\u7565\u63a8\u7406\u8fc7\u7a0b\u7684\u4f18\u52a3\uff08Yu et al., 2025a\uff09\u3002\u8fd9\u53ef\u80fd\u5bfc\u81f4\u6a21\u578b\u56e0 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u800c\u83b7\u5f97\u5956\u52b1\uff0c\u5374\u56e0 \u201c\u903b\u8f91\u4e25\u8c28\u4f46\u6700\u7ec8\u7b54\u6848\u5b58\u5728\u5fae\u5c0f\u9519\u8bef\u201d \u800c\u53d7\u5230\u60e9\u7f5a\uff08Xie et al., 2025\uff09\u3002<\/li>\n\n\n\n<li><strong>\u5956\u52b1\u4fe1\u53f7\u5931\u6548<\/strong>\uff1a\u5f53\u6a21\u578b\u5728\u8bad\u7ec3\u96c6\u4e0a\u8868\u73b0\u8fc7\u5f3a\u6216\u8fc7\u5f31\u65f6\uff0cRLVR \u7684\u5956\u52b1\u4fe1\u53f7\u53ef\u80fd\u8d8b\u4e8e\u6052\u5b9a\uff0c\u4ece\u800c\u96be\u4ee5\u5bf9\u6a21\u578b\u4f18\u5316\u63d0\u4f9b\u6709\u6548\u6307\u5bfc\uff08Cui et al., 2025\uff09\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u4e3a\u89e3\u51b3\u8fd9\u4e9b\u5c40\u9650\uff0c\u7814\u7a76\u8005\u63d0\u51fa\u4e86<strong>\u8fc7\u7a0b\u7ea7\u5956\u52b1\u6a21\u578b\uff08PRMs\uff09<\/strong>\uff0c\u901a\u8fc7\u5bf9\u4e2d\u95f4\u6b65\u9aa4\u8fdb\u884c\u76d1\u7763\u6765\u4f18\u5316\u6a21\u578b\uff08Cheng et al., 2025\uff1bZhang et al., 2025a\uff1bZou et al., 2025\uff09\u3002\u5c3d\u7ba1 PRMs \u5177\u6709\u6f5c\u529b\uff0c\u4f46\u4e5f\u5e26\u6765\u4e86\u65b0\u7684\u6311\u6218\uff1a\u5176\u8fc7\u7a0b\u7ea7\u76d1\u7763\u8981\u6c42\u5c06\u63a8\u7406\u8fc7\u7a0b\u5206\u5272\u4e3a\u72ec\u7acb\u6b65\u9aa4\uff08Xiong et al., 2025\uff1bZou et al., 2025\uff09\uff0c\u800c\u8fd9\u79cd\u5206\u5272\u901a\u5e38\u662f\u7279\u5b9a\u4e8e\u4efb\u52a1\u7684\uff0c\u53ef\u80fd\u4f1a\u963b\u788d\u6a21\u578b\u5728\u6b65\u9aa4\u6a21\u7cca\u6216\u91cd\u53e0\u7684\u5f00\u653e\u57df\u4efb\u52a1\u4e2d\u7684\u6cdb\u5316\uff08Xiong et al., 2025\uff09\u3002\u6b64\u5916\uff0c\u4e0e RLVR \u900f\u660e\u7684\u4e8c\u5143\u4fe1\u53f7\u4e0d\u540c\uff0cPRMs \u5e38\u4f5c\u4e3a \u201c\u9ed1\u7bb1\u8bc4\u4f30\u5668\u201d\uff0c\u5176\u8bc4\u5206\u673a\u5236\u96be\u4ee5\u8bca\u65ad\u548c\u4fe1\u4efb\uff08Christiano et al., 2023\uff09\u3002<\/p>\n\n\n\n<p>\u4e3a\u514b\u670d\u4e0a\u8ff0\u5c40\u9650\uff0c\u6211\u4eec\u57fa\u4e8e\u9ad8\u8d28\u91cf\u63a8\u7406\u8fc7\u7a0b\u7684\u5173\u952e\u7279\u5f81\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u76d1\u7763\u6846\u67b6\u3002\u5df2\u6709\u7814\u7a76\u8868\u660e\uff0c\u63a8\u7406\u8fc7\u7a0b\u4e2d\u7684\u975e\u5fe0\u5b9e\u5185\u5bb9\u4f1a\u963b\u788d\u6b63\u786e\u7b54\u6848\u7684\u751f\u6210\uff08Zhang et al., 2025b\uff09\u3002\u4e3a\u68c0\u6d4b\u6b64\u7c7b\u5185\u5bb9\uff0c\u6211\u4eec\u7684\u6846\u67b6\u4ece\u4e09\u4e2a\u4e92\u8865\u7ef4\u5ea6\u8fdb\u884c\u8bc4\u4f30\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u7f6e\u4fe1\u5ea6\uff08Confidence\uff09<\/strong>\uff1a\u8861\u91cf\u63a8\u7406\u8fc7\u7a0b\u662f\u5426\u5fe0\u5b9e\u4e8e\u95ee\u9898\u548c\u652f\u6301\u6027\u4e0a\u4e0b\u6587\uff0c\u76f4\u63a5\u5e94\u5bf9\u6a21\u578b\u5e7b\u89c9\u6216\u504f\u79bb\u4e3b\u9898\u7684\u7f3a\u9677\u63a8\u7406\u95ee\u9898\uff1b<\/li>\n\n\n\n<li><strong>\u76f8\u5173\u6027\uff08Relevance\uff09<\/strong>\uff1a\u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\u4e0e\u95ee\u9898\u3001\u652f\u6301\u6027\u4e0a\u4e0b\u6587\u53ca\u6700\u7ec8\u7b54\u6848\u4e4b\u95f4\u7684\u8bed\u4e49\u5173\u8054\u6027\u548c\u8574\u542b\u5173\u7cfb\uff0c\u80fd\u591f\u68c0\u6d4b\u63a8\u7406\u8fc7\u7a0b\u662f\u5426\u504f\u79bb\u7ed9\u5b9a\u4fe1\u606f\uff1b<\/li>\n\n\n\n<li><strong>\u8fde\u8d2f\u6027\uff08Coherence\uff09<\/strong>\uff1a\u901a\u8fc7\u63a8\u7406\u8fc7\u7a0b\u7684\u903b\u8f91\u4e00\u81f4\u6027\uff0c\u60e9\u7f5a\u81ea\u76f8\u77db\u76fe\u7684\u8868\u8ff0\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u8868 1 \u5bf9\u6bd4\u4e86\u4e09\u79cd\u76d1\u7763\u65b9\u6cd5\u7684\u5173\u952e\u5c5e\u6027\uff0c\u56fe 1 \u5c55\u793a\u4e86\u6211\u4eec\u7684\u6846\u67b6\u5982\u4f55\u4f5c\u4e3a \u201c\u7ef4\u5ea6\u7ea7\u5956\u52b1\u6a21\u578b\uff08DRM\uff09\u201d \u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\u8d28\u91cf\uff0c\u5e76\u5f25\u8865 RLVR \u548c PRMs \u7684\u5c40\u9650\u3002DRM \u901a\u8fc7\u63d0\u4f9b\u5bc6\u96c6\u3001\u5173\u6ce8\u63a8\u7406\u8fc7\u7a0b\u7684\u5956\u52b1\u4fe1\u53f7\uff08\u65e0\u9700\u7279\u5b9a\u4e8e\u4efb\u52a1\u7684\u771f\u5b9e\u6807\u7b7e\uff09\uff0c\u514b\u670d\u4e86 RLVR \u7684\u6838\u5fc3\u5c40\u9650\uff1b\u540c\u65f6\uff0c\u5b83\u65e0\u9700 PRMs \u6240\u9700\u7684\u4efb\u52a1\u7279\u5b9a\u6b65\u9aa4\u5206\u5272\uff0c\u5e76\u901a\u8fc7\u5728\u660e\u786e\u3001\u53ef\u8bca\u65ad\u7684\u7ef4\u5ea6\u4e0a\u5bf9\u63a8\u7406\u8fc7\u7a0b\u8bc4\u5206\uff0c\u5b9e\u73b0\u4e86\u66f4\u5f3a\u7684\u53ef\u89e3\u91ca\u6027\u3002<\/p>\n\n\n\n<p><strong>\u8868 1\uff1a\u76d1\u7763\u65b9\u6cd5\u5c5e\u6027\u5bf9\u6bd4<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5c5e\u6027<\/th><th>RLVR\uff08\u7ed3\u679c\u76d1\u7763\uff09<\/th><th>PRM\uff08\u8fc7\u7a0b\u76d1\u7763\uff09<\/th><th>DRM\uff08\u7ef4\u5ea6\u76d1\u7763\uff09<\/th><\/tr><\/thead><tbody><tr><td>\u76d1\u7763\u5c42\u9762<\/td><td>\u7ed3\u679c\u5c42\u9762<\/td><td>\u8fc7\u7a0b\u5c42\u9762<\/td><td>\u7ef4\u5ea6\u5c42\u9762<\/td><\/tr><tr><td>\u76d1\u7763\u76ee\u6807<\/td><td>\u7b54\u6848<\/td><td>\u63a8\u7406\u8fc7\u7a0b<\/td><td>\u63a8\u7406\u8fc7\u7a0b<\/td><\/tr><tr><td>\u5bc6\u96c6\u4fe1\u53f7<\/td><td>\u2717<\/td><td>\u2713<\/td><td>\u2713<\/td><\/tr><tr><td>\u6cdb\u5316\u6027<\/td><td>\u2713<\/td><td>\u2717<\/td><td>\u2713<\/td><\/tr><tr><td>\u53ef\u89e3\u91ca\u6027<\/td><td>\u2713<\/td><td>\u2717<\/td><td>\u2713<\/td><\/tr><tr><td>\u65e0\u9700\u771f\u5b9e\u6807\u7b7e<\/td><td>\u2717<\/td><td>\u2713<\/td><td>\u2713<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\uff08\u6ce8\uff1a\u56fe 1 \u4e3a RAG \u4efb\u52a1\u4e2d\u591a\u7ef4\u5ea6\u63a8\u7406\u76d1\u7763\u6846\u67b6\u7684\u793a\u610f\u56fe\uff0c\u539f\u6587\u4e2d\u5305\u542b RLVR\u3001PRM \u4e0e DRM \u7684\u76f4\u89c2\u5bf9\u6bd4\uff1aRLVR \u56e0\u4ec5\u5173\u6ce8\u7b54\u6848\uff0c\u4f1a\u5c06 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u7684\u6837\u672c\u89c6\u4e3a\u6b63\u4f8b\uff1bPRM \u56e0\u8fc7\u7a0b\u7ea7\u76d1\u7763\u5ffd\u7565\u8de8\u6b65\u9aa4\u9519\u8bef\uff0c\u4e5f\u53ef\u80fd\u5bf9\u8fd9\u7c7b\u6837\u672c\u8bef\u5224\uff1b\u800c DRM \u901a\u8fc7\u7ef4\u5ea6\u7ea7\u76d1\u7763\u68c0\u6d4b\u63a8\u7406\u7f3a\u9677\uff0c\u7ed9\u51fa\u53cd\u6620\u771f\u5b9e\u63a8\u7406\u8d28\u91cf\u7684\u5956\u52b1\uff0c\u4ece\u800c\u52a9\u529b\u6a21\u578b\u4f18\u5316\u3002\uff09<\/p>\n\n\n\n<p>\u6211\u4eec\u5728\u79bb\u7ebf\u7b56\u7565\u9009\u62e9\u548c\u5728\u7ebf\u7b56\u7565\u8bad\u7ec3\u4e24\u79cd\u8303\u5f0f\u4e2d\u9a8c\u8bc1\u4e86\u57fa\u4e8e DRM \u7684\u76d1\u7763\u6709\u6548\u6027\uff0c\u5e76\u5728\u5177\u6709\u6311\u6218\u6027\u7684\u5f00\u653e\u57df\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u8bc4\u4f30\u4e86\u8bad\u7ec3\u540e\u7684\u6a21\u578b\u3002\u7ed3\u679c\u8868\u660e\uff0c\u57fa\u4e8e DRM \u76d1\u7763\u7684\u6a21\u578b\u5728\u5206\u5e03\u5185\u548c\u5206\u5e03\u5916\u4efb\u52a1\u4e2d\u5747\u8868\u73b0\u51fa\u8272\uff0c\u6cdb\u5316\u80fd\u529b\u4f18\u4e8e\u4ec5\u57fa\u4e8e\u7b54\u6848\u76d1\u7763\u7684\u6a21\u578b\u3002\u4ee5 Llama-3.1-8B-Instruct\uff08Grattafiori et al., 2024\uff09\u4e3a\u4f8b\uff0c\u6211\u4eec\u7684\u65b9\u6cd5\u5728 Math500\uff08\u6570\u5b66\u4efb\u52a1\uff0c+8.8 \u5206\uff09\uff08Cobbe et al., 2021a\uff09\u30012Wiki_RAG\uff08\u591a\u8df3\u95ee\u7b54\u4efb\u52a1\uff0c+8.7 \u5206\uff09\uff08Ho et al., 2020\uff09\u548c Cruxeval\uff08\u4ee3\u7801\u6267\u884c\u4efb\u52a1\uff0c+7.1 \u5206\uff09\uff08Gu et al., 2024\uff09\u4e0a\u5747\u5b9e\u73b0\u4e86\u6027\u80fd\u63d0\u5347\u3002\u8fd9\u79cd\u63d0\u5347\u8d8b\u52bf\u5728\u4e0d\u540c\u6a21\u578b\u4e2d\u5747\u4e00\u81f4\u5b58\u5728\uff0c\u5145\u5206\u8bc1\u660e\u4e86 DRM \u76d1\u7763\u7684\u4f18\u8d8a\u6027\u548c\u901a\u7528\u6027\u3002\u5b9a\u6027\u5206\u6790\u4e0e\u6848\u4f8b\u7814\u7a76\u8868\u660e\uff0cDRM \u7f13\u89e3\u4e86\u7b54\u6848\u76d1\u7763\u4e2d\u5e38\u89c1\u7684 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u95ee\u9898\u3002\u7814\u7a76\u7ed3\u679c\u8bc1\u5b9e\uff0c\u591a\u7ef4\u5ea6\u63a8\u7406\u76d1\u7763\u80fd\u591f\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u53ca\u5176\u5728\u5206\u5e03\u5916\u4efb\u52a1\u4e2d\u7684\u6027\u80fd\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2 \u65b9\u6cd5\uff1a\u591a\u7ef4\u5ea6\u63a8\u7406\u76d1\u7763<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u4efb\u52a1\u5b9a\u4e49<\/h3>\n\n\n\n<p>\u5f62\u5f0f\u4e0a\uff0c\u8bbeI\u8868\u793a\u7528\u6237\u8f93\u5165\uff0cO\u8868\u793a\u6a21\u578b\u8f93\u51fa\u3002\u6211\u4eec\u5c06O\u5206\u89e3\u4e3a\u63a8\u7406\u8fc7\u7a0bR\u548c\u7b54\u6848A\u3002\u5728\u5f00\u653e\u57df\u573a\u666f\u4e2d\uff0cI\u901a\u5e38\u4e0d\u4ec5\u5305\u542b\u95ee\u9898Q\uff1a\u4f8b\u5982\u5728\u68c0\u7d22\u589e\u5f3a\u751f\u6210\uff08RAG\uff09\u4efb\u52a1\u4e2d\uff0cI\u8fd8\u5305\u62ec\u68c0\u7d22\u5230\u7684\u6587\u6863\uff1b\u5728\u504f\u597d\u4efb\u52a1\u4e2d\uff0cI\u53ef\u80fd\u5305\u542b\u4e24\u4e2a\u5f85\u6bd4\u8f83\u7684\u5019\u9009\u54cd\u5e94\u3002\u8bbeD\u8868\u793a\u4f34\u968fQ\u7684\u989d\u5916\u4fe1\u606f\uff0c\u5219\u6a21\u578b\u7684\u8f93\u5165 &#8211; \u8f93\u51fa\u7ed3\u6784\u53ef\u8868\u793a\u4e3a\u56db\u5143\u7ec4\uff1a\\((Q,D,R,A)\\)\u3002\u5728\u5927\u591a\u6570\u4efb\u52a1\u4e2d\uff0c\u6a21\u578b\u6027\u80fd\u4e3b\u8981\u901a\u8fc7A\u7684\u8d28\u91cf\u6765\u8bc4\u4f30\u3002<\/p>\n\n\n\n<p>\u5df2\u6709\u7814\u7a76\u8868\u660e\uff0c\u5927\u8bed\u8a00\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u6709\u65f6\u4f1a\u751f\u6210\u65e0\u652f\u6301\u4f9d\u636e\u7684\u8868\u8ff0\uff0c\u8fd9\u4f1a\u963b\u788d\u6b63\u786e\u7b54\u6848\u7684\u751f\u6210\uff08Zhang et al., 2025b\uff1bXu et al., 2025\uff09\u3002\u4e3a\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u6a21\u578b\u9700\u751f\u6210 \u201c\u5fe0\u5b9e\u63a8\u7406\u201d \u4ee5\u907f\u514d\u65e0\u4f9d\u636e\u65ad\u8a00\uff0c\u5c24\u5176\u5728\u6700\u7ec8\u7b54\u6848\u4e0a\u9700\u7ed9\u51fa\u660e\u786e\u7ed3\u8bba\uff1b\u6b64\u5916\uff0c\u63a8\u7406\u8fc7\u7a0b\u9700\u57fa\u4e8e\u7ed9\u5b9a\u8f93\u5165\uff0c\u5e76\u4fdd\u6301\u5185\u90e8\u4e00\u81f4\u6027\u3002\u8fd9\u4e9b\u5c5e\u6027\u65e2\u6709\u52a9\u4e8e\u751f\u6210\u6b63\u786e\u7b54\u6848\uff0c\u4e5f\u63d0\u5347\u4e86\u63a8\u7406\u8fc7\u7a0b\u7684\u53ef\u89e3\u91ca\u6027\u3002\u6211\u4eec\u5c06\u8fd9\u4e9b\u5c5e\u6027\u5f52\u7c7b\u4e3a\u9ad8\u8d28\u91cf\u63a8\u7406\u8fc7\u7a0b\u5e94\u6ee1\u8db3\u7684\u4e09\u4e2a\u7ef4\u5ea6\uff1a<strong>\u7f6e\u4fe1\u5ea6\uff08Confidence\uff09\u3001\u76f8\u5173\u6027\uff08Relevance\uff09\u548c\u8fde\u8d2f\u6027\uff08Coherence\uff09<\/strong>\uff0c\u5176\u5b9a\u4e49\u3001\u5b9e\u73b0\u65b9\u5f0f\u5982\u8868 2 \u6240\u793a\uff0c\u5177\u4f53\u539f\u7406\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p><strong>\u8868 2\uff1a\u63a8\u7406\u8bc4\u4f30\u7ef4\u5ea6\uff08\u57fa\u4e8e\u56db\u5143\u7ec4\\((Q,D,R,A)\\)\uff09<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7ef4\u5ea6<\/th><th>\u63cf\u8ff0<\/th><th>\u5b9e\u73b0\u65b9\u5f0f<\/th><th><\/th><th><\/th><\/tr><\/thead><tbody><tr><td>\u7f6e\u4fe1\u5ea6\\(\\mathrm{score}^{\\text{Conf}}\\)<\/td><td>\u4ece\u5185\u5728\u4fe1\u53f7\u8bc4\u4f30\u751f\u6210\u7684R\u548cA\u7684\u81ea\u6211\u786e\u5b9a\u6027<\/td><td>$\\mathrm{score}^{\\text{Conf}}_{R}=\\frac{1}{<\/td><td>R<\/td><td>}\\sum\\log p\\(\uff08\u8ba1\u7b97\\)R$ \u4e2d\u6240\u6709 token \u7684\u5e73\u5747\u5bf9\u6570\u6982\u7387\uff09<\/td><\/tr><tr><td>\u76f8\u5173\u6027\\(\\mathrm{score}^{\\text{Rel}}\\)<\/td><td>\u8bc4\u4f30R\u4e0eQ\u3001D\u3001A\u7684\u4e0a\u4e0b\u6587\u9002\u914d\u6027\u548c\u8bed\u4e49\u5bf9\u9f50\u5ea6<\/td><td>\u901a\u8fc7\u81ea\u7136\u8bed\u8a00\u63a8\u7406\uff08NLI\uff09\u8574\u542b\u5173\u7cfb\u8861\u91cfR\u4e0eQ\u7684\u5173\u8054<\/td><td><\/td><td><\/td><\/tr><tr><td>\u8fde\u8d2f\u6027\\(\\mathrm{score}^{\\text{Coh}}\\)<\/td><td>\u8bc4\u4f30R\u7684\u903b\u8f91\u4e00\u81f4\u6027\u3001\u6d41\u7545\u5ea6\u548c\u6574\u4f53\u8d28\u91cf<\/td><td>\u5229\u7528\u5916\u90e8\u7ed3\u679c\u7ea7\u5956\u52b1\u6a21\u578b\uff08ORM\uff09\u8fdb\u884c\u8bc4\u4f30<\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u5404\u7ef4\u5ea6\u8be6\u7ec6\u8bf4\u660e<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">2.1 \u7f6e\u4fe1\u5ea6\uff08Confidence\uff09<\/h4>\n\n\n\n<p>\u8be5\u7ef4\u5ea6\u8bc4\u4f30\u6a21\u578b\u5bf9\u81ea\u8eab\u8f93\u51fa\u7684\u786e\u5b9a\u6027\u3002\u53d7\u63a8\u7406\u6a21\u578b\u81ea\u6211\u7f6e\u4fe1\u5ea6\u8bc4\u4f30\u76f8\u5173\u7814\u7a76\u7684\u542f\u53d1\uff08Leang et al., 2025\uff09\uff0c\u6211\u4eec\u8ba1\u7b97\u63a8\u7406\u8fc7\u7a0bR\u4e2d\u6240\u6709 token \u7684\u5e73\u5747\u5bf9\u6570\u6982\u7387\uff0c\u4ee5\u907f\u514d\u60e9\u7f5a\u63a2\u7d22\u6027\u63a8\u7406\uff1b\u5bf9\u4e8e\u7b54\u6848A\uff0c\u5219\u8ba1\u7b97 token \u7684\u5bf9\u6570\u6982\u7387\u603b\u548c\uff0c\u4ee5\u9f13\u52b1\u6a21\u578b\u7ed9\u51fa\u660e\u786e\u3001\u81ea\u4fe1\u7684\u7ed3\u8bba\u3002\u6700\u7ec8\u7f6e\u4fe1\u5ea6\u5f97\u5206\u4e3a\u8fd9\u4e24\u90e8\u5206\u7684\u603b\u548c\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.2 \u76f8\u5173\u6027\uff08Relevance\uff09<\/h4>\n\n\n\n<p>\u8be5\u7ef4\u5ea6\u8bc4\u4f30R\u4e0eQ\u3001D\u3001A\u4e4b\u95f4\u7684\u5fc5\u8981\u5173\u8054\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\\(Q \\rightarrow R\\)\u9700\u6ee1\u8db3\u81ea\u7136\u8bed\u8a00\u63a8\u7406\uff08NLI\uff09\u7684\u8574\u542b\u5173\u7cfb\uff0c\u786e\u4fddR\u6709\u52a9\u4e8e\u56de\u7b54Q\uff1b<\/li>\n\n\n\n<li>\\(R \\leftrightarrow D\\)\u9700\u5177\u5907\u9ad8\u8bed\u4e49\u76f8\u5173\u6027\uff0c\u786e\u4fddR\u57fa\u4e8e\u989d\u5916\u4fe1\u606fD\uff1b<\/li>\n\n\n\n<li>\\(R \\rightarrow A\\)\u4e5f\u9700\u6ee1\u8db3 NLI \u8574\u542b\u5173\u7cfb\uff0c\u786e\u4fddR\u80fd\u903b\u8f91\u63a8\u5bfc\u81f3A\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u5c06\u76f8\u5173\u6027\u8bc4\u5206\u8f6c\u5316\u4e3a\u6392\u5e8f\u4efb\u52a1\uff1a\u4f7f\u7528\u4e09\u4e2a\u5206\u522b\u5bf9\u5e94\u4e0a\u8ff0\u5173\u8054\u7684\u6307\u6807\u5bf9\u63a8\u7406\u8fc7\u7a0b\u8fdb\u884c\u6392\u5e8f\uff0c\u518d\u878d\u5408\u8fd9\u4e9b\u5206\u6570\u5f97\u5230\u6700\u7ec8\u76f8\u5173\u6027\u5f97\u5206\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.3 \u8fde\u8d2f\u6027\uff08Coherence\uff09<\/h4>\n\n\n\n<p>\u8be5\u7ef4\u5ea6\u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\u7684\u6587\u672c\u8d28\u91cf\uff0c\u91cd\u70b9\u5173\u6ce8\u8fde\u8d2f\u6027\u548c\u903b\u8f91\u4e00\u81f4\u6027\u3002\u6211\u4eec\u5c06R\u89c6\u4e3a\u4ee5\\(Q\u3001D\\)\u4e3a\u8f93\u5165\u7684\u6587\u672c\u751f\u6210\u4efb\u52a1\u8f93\u51fa\uff0c\u901a\u8fc7\u5916\u90e8\u7ed3\u679c\u7ea7\u5956\u52b1\u6a21\u578b\uff08ORM\uff09\u8bc4\u4f30\u5176\u903b\u8f91\u4e00\u81f4\u6027\u3001\u6d41\u7545\u5ea6\u548c\u6574\u4f53\u6587\u672c\u8d28\u91cf\uff0c\u6355\u6349\u7f6e\u4fe1\u5ea6\u548c\u76f8\u5173\u6027\u65e0\u6cd5\u76f4\u63a5\u53cd\u6620\u7684\u63a8\u7406\u8d28\u91cf\u7ef4\u5ea6\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">DRM \u5956\u52b1\u8ba1\u7b97\u4e0e\u6a21\u578b\u4f18\u5316<\/h3>\n\n\n\n<p>\u901a\u8fc7\u5728\u7f6e\u4fe1\u5ea6\u3001\u76f8\u5173\u6027\u548c\u8fde\u8d2f\u6027\u4e09\u4e2a\u7ef4\u5ea6\u4e0a\u8054\u5408\u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\uff0c\u6211\u4eec\u7684\u6846\u67b6\u5c06\u8bc4\u4f30\u660e\u786e\u5206\u89e3\u4e3a\u4e92\u8865\u7684\u7ef4\u5ea6\u3002\u5982\u56fe 1 \u6240\u793a\uff0cDRM \u5728\u4e09\u4e2a\u72ec\u7acb\u7ef4\u5ea6\u4e0a\u8bc4\u4f30\u63a8\u7406\u8d28\u91cf\uff0c\u6bcf\u4e2a\u7ef4\u5ea6\u5747\u57fa\u4e8e\u53ef\u91cf\u5316\u7684\u5206\u6570\u3002DRM \u5956\u52b1\u901a\u8fc7\u5404\u7ef4\u5ea6\u5f97\u5206\u7684\u52a0\u6743\u548c\u8ba1\u7b97\uff1a<\/p>\n\n\n\n<p>\\(R^{\\text{DRM}}_{i}=\\mathrm{score}_{i}=\\sum_{D}w^{D}\\,\\widetilde{\\mathrm{score}}^{D}_{i},\\quad D\\in\\{\\text{Conf},\\text{Rel},\\text{Coh}\\}\\)<\/p>\n\n\n\n<p>\u5176\u4e2d\uff0c\\(\\widetilde{\\mathrm{score}}^{D}_{i}\\)\u662f\u5404\u7ef4\u5ea6\u539f\u59cb\u5f97\u5206\\(\\mathrm{score}^{D}_{i}\\)\u7ecf\u8fc7\u7ec4\u5185\u5f52\u4e00\u5316\u540e\u7684\u7ed3\u679c\uff08\u4ee5\u7f13\u89e3\u5c3a\u5ea6\u5dee\u5f02\uff09\uff0c\u6743\u91cd\\(w^{D}\\)\u901a\u8fc7\u9a8c\u8bc1\u96c6\u4e0a\u7684\u7f51\u683c\u641c\u7d22\u786e\u5b9a\u3002\u8fd9\u79cd\u8bbe\u8ba1\u4ece\u6839\u672c\u4e0a\u907f\u514d\u4e86 RLVR \u7684\u4e8c\u5143\u7a00\u758f\u5956\u52b1\u95ee\u9898\uff0c\u80fd\u591f\u53cd\u6620\u63a8\u7406\u8fc7\u7a0b\u7684\u8d28\u91cf\uff1b\u540c\u65f6\uff0cDRM \u7528 \u201c\u7ef4\u5ea6\u7ea7\u8bc4\u4f30\u201d \u66ff\u4ee3 PRM \u7684 \u201c\u6b65\u9aa4\u7ea7\u8bc4\u5206\u201d\uff0c\u65e0\u9700\u4efb\u52a1\u7279\u5b9a\u7684\u6b65\u9aa4\u5206\u5272\uff0c\u4e14\u56e0\u7ef4\u5ea6\u5316\u7279\u6027\u5177\u5907\u66f4\u5f3a\u7684\u53ef\u89e3\u91ca\u6027\u3002\u6b64\u5916\uff0c\u65e0\u8bba\u7b54\u6848\u662f\u5426\u6b63\u786e\uff0cDRM \u90fd\u80fd\u901a\u8fc7\u8d28\u91cf\u5dee\u5f02\u533a\u5206\u4e0d\u540c\u63a8\u7406\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.4 \u79bb\u7ebf\u7b56\u7565\u4f18\u5316\uff08\u57fa\u4e8e DPO\uff09<\/h4>\n\n\n\n<p>\u5728\u79bb\u7ebf\u7b56\u7565\u4f18\u5316\u4e2d\uff0c\u8bad\u7ec3\u96c6\u7684\u6784\u5efa\u9700\u9075\u5faa\u76d1\u7763\u4fe1\u53f7\u7684\u6307\u5bfc\u3002\\(R^{\\text{DRM}}_{i}\\)\u53ef\u901a\u8fc7\u6355\u6349\u6bcf\u4e2a\u6837\u672c\u7684\u63a8\u7406\u8d28\u91cf\u6765\u8f85\u52a9\u8bad\u7ec3\u96c6\u6784\u5efa\u3002\u6211\u4eec\u91c7\u7528\u76f4\u63a5\u504f\u597d\u4f18\u5316\uff08DPO\uff09\uff0c\u5176\u4f18\u5316\u76ee\u6807\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>\\(\\mathcal{L}_{\\text{DPO}}(\\theta)=-\\mathbb{E}_{(I,O^{+},O^{-})}\\left[\\log\\sigma\\left(\\beta\\log\\frac{\\pi_{\\theta}(O^{+}\\mid I)}{\\pi_{\\text{ref}}(O^{+}\\mid I)}-\\beta\\log\\frac{\\pi_{\\theta}(O^{-}\\mid I)}{\\pi_{\\text{ref}}(O^{-}\\mid I)}\\right)\\right]\\)<\/p>\n\n\n\n<p>\\(O^{+}=\\arg\\max_{o\\in O}R^{\\text{DRM}}_{o},\\,O^{-}=\\arg\\min_{o\\in O}R^{\\text{DRM}}_{o}\\)<\/p>\n\n\n\n<p>\u5176\u4e2d\uff0c\\(\\sigma(\\cdot)\\)\u4e3a sigmoid \u51fd\u6570\uff0c\\(\\beta&gt;0\\)\u63a7\u5236\u504f\u597d\u7684\u5c16\u9510\u7a0b\u5ea6\uff0c\\(O^{+}\\)\u548c\\(O^{-}\\)\u5206\u522b\u8868\u793a DRM \u5f97\u5206\u6700\u9ad8\u548c\u6700\u4f4e\u7684\u6837\u672c\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.5 \u5728\u7ebf\u7b56\u7565\u4f18\u5316\uff08\u57fa\u4e8e GRPO\uff09<\/h4>\n\n\n\n<p>\u5728\u5728\u7ebf\u7b56\u7565\u4f18\u5316\u4e2d\uff0cDRM \u53ef\u4f5c\u4e3a\u72ec\u7acb\u76d1\u7763\u5956\u52b1\u4fe1\u53f7\uff0c\u6216\u4e0e\u5176\u4ed6\u76d1\u7763\u4fe1\u53f7\u878d\u5408\u3002\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u4ece\\(R^{\\text{DRM}}_{i}\\)\uff08\u6837\u672ci\u7684 DRM \u5956\u52b1\uff09\u4e2d\u8ba1\u7b97\u989d\u5916\u7684 DRM \u4f18\u52bf\\(\\hat{A}^{\\text{DRM}}_{i,t}\\)\uff0c\u5e76\u5c06\u5176\u4e0e RLVR \u5956\u52b1\u5f97\u5230\u7684\u539f\u751f GRPO \u4f18\u52bf\\(\\hat{A}_{i,t}\\)\u76f8\u52a0\uff0c\u5f97\u5230\u4f18\u5316\u76ee\u6807\uff08\u6570\u5b66\u7ec6\u8282\u89c1\u9644\u5f55 B.2\uff09\uff1a<\/p>\n\n\n\n<p>\\(\\mathcal{J}_{\\mathrm{GRPO}}(\\theta)=\\mathbb{E}_{q,\\{o_{i}\\}}\\frac{1}{G}\\sum_{i=1}^{G}\\frac{1}{|o_{i}|}\\sum_{t=1}^{|o_{i}|}\\Bigg\\{\\min\\big[r_{i,t}(\\theta)A_{i,t},\\;\\mathrm{clip}(r_{i,t}(\\theta),1-\\varepsilon,1+\\varepsilon)A_{i,t}\\big]-\\beta\\,\\mathbb{D}_{\\mathrm{KL}}\\big[\\pi_{\\theta}\\,\\|\\,\\pi_{\\mathrm{ref}}\\big]\\Bigg\\}\\)<\/p>\n\n\n\n<p>\\(A_{i,t}=\\hat{A}_{i,t}+\\hat{A}^{\\text{DRM}}_{i,t}\\)<\/p>\n\n\n\n<p>\u5176\u4e2d\uff0c\\(r_{i,t}(\\theta)=\\frac{\\pi_{\\theta}(o_{i,t}\\mid q,o_{i,&lt;t})}{\\pi_{\\theta_{\\text{old}}}(o_{i,t}\\mid q,o_{i,&lt;t})}\\)\u4e3a token \u7ea7\u6982\u7387\u6bd4\uff0c\\(\\beta\\)\u63a7\u5236\u76f8\u5bf9\u4e8e\u53c2\u8003\u7b56\u7565\\(\\pi_{\\text{ref}}\\)\u7684 KL \u60e9\u7f5a\u5f3a\u5ea6\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">3 \u5b9e\u9a8c<\/h2>\n\n\n\n<p>\u6211\u4eec\u901a\u8fc7\u4e25\u8c28\u7684\u5b9e\u9a8c\u8303\u5f0f\u63d0\u51fa\u4e00\u7cfb\u5217\u7814\u7a76\u95ee\u9898\uff0c\u4ee5\u9a8c\u8bc1 DRM \u76d1\u7763\u80fd\u5426\u63d0\u5347\u6a21\u578b\u63a8\u7406\u80fd\u529b\uff0c\u5b9e\u9a8c\u7ed3\u679c\u5747\u5bf9\u8fd9\u4e9b\u95ee\u9898\u7ed9\u51fa\u4e86\u80af\u5b9a\u7b54\u6848\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>RQ1<\/strong>\uff1a\u5bf9\u63a8\u7406\u8fc7\u7a0b\u7684\u8bc4\u4f30\u80fd\u5426\u53ef\u9760\u5730\u5224\u65ad\u6700\u7ec8\u7b54\u6848\u7684\u6b63\u786e\u6027\uff1f<\/li>\n\n\n\n<li><strong>RQ2<\/strong>\uff1a\u6a21\u578b\u80fd\u5426\u5b66\u4e60\u5e76\u5229\u7528 DRM \u5956\u52b1\u4fe1\u53f7\u63d0\u5347\u63a8\u7406\u80fd\u529b\uff1f<\/li>\n\n\n\n<li><strong>RQ3<\/strong>\uff1aDRM \u76d1\u7763\u80fd\u5426\u66f4\u597d\u5730\u5f15\u5bfc\u8bad\u7ec3\u5e76\u4f18\u4e8e RLVR\uff1f<\/li>\n\n\n\n<li><strong>RQ4<\/strong>\uff1a\u7ed3\u5408 RLVR \u76d1\u7763\u4e0e DRM \u76d1\u7763\u80fd\u5426\u5b9e\u73b0\u8fdb\u4e00\u6b65\u6027\u80fd\u63d0\u5347\uff1f<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 \u5b9e\u9a8c\u8bbe\u7f6e<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">3.1.1 \u6a21\u578b<\/h4>\n\n\n\n<p>\u6211\u4eec\u5728\u4e09\u4e2a\u4ee3\u8868\u6027\u6a21\u578b\u4e0a\u8bc4\u4f30\u65b9\u6cd5\u6709\u6548\u6027\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u65e0\u56fa\u6709\u63a8\u7406\u80fd\u529b\u7684\u6a21\u578b\uff1aLlama-3.1-8B-Instruct\uff08Grattafiori et al., 2024\uff09<\/li>\n\n\n\n<li>\u63a8\u7406\u6a21\u578b\uff1aR1-distil-LLaMA8B\uff08DeepSeek-AI et al., 2025\uff09<\/li>\n\n\n\n<li>\u6df7\u5408\u63a8\u7406\u6a21\u578b\uff1aQwen3-8B\uff08Yang et al., 2025\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u6b64\u5916\uff0c\u6211\u4eec\u91c7\u7528 Qwen3-8B-reranker\uff08Zhang et al., \uff09\u4f5c\u4e3a\u76f8\u5173\u6027\u5224\u65ad\u5668\uff0cLlama-3.3-Nemotron-70B-Reward-Multilingual\uff08Wang et al., \uff09\u4f5c\u4e3a\u8fde\u8d2f\u6027\u5224\u65ad\u5668\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.1.2 \u6570\u636e\u96c6<\/h4>\n\n\n\n<p>\u6211\u4eec\u5728\u591a\u79cd\u5f00\u653e\u57df\u4efb\u52a1\u4e0a\u8bc4\u4f30\u65b9\u6cd5\uff0c\u5305\u62ec 4 \u4e2a\u4ee3\u7801\u57fa\u51c6\u30012 \u4e2a\u504f\u597d\u57fa\u51c6\u30014 \u4e2a\u6570\u5b66\u57fa\u51c6\u30012 \u4e2a\u79d1\u5b66\u95ee\u7b54\u57fa\u51c6\u30013 \u4e2a\u903b\u8f91\u63a8\u7406\u57fa\u51c6\u30012 \u4e2a\u95ee\u7b54\u57fa\u51c6\u53ca\u5176 RAG \u53d8\u4f53\uff08\u7531 FlashRAG \u63d0\u4f9b\uff09\uff08Jin et al., 2024\uff09\u3002\u5176\u4e2d\uff0c\u6570\u5b66\u4efb\u52a1\u4f7f\u7528 Math-Verify\uff08Kydl\u00ed\u010dek, 2024\uff09\u8fdb\u884c\u81ea\u52a8\u89e3\u6cd5\u9a8c\u8bc1\uff0c\u5176\u4ed6\u4efb\u52a1\u5747\u91c7\u7528\u7cbe\u786e\u5339\u914d\uff08EM\uff09\u4f5c\u4e3a\u8bc4\u4f30\u6307\u6807\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.2 \u8bc4\u4f30 DRM \u662f\u5426\u80fd\u5f15\u5bfc\u751f\u6210\u6b63\u786e\u7b54\u6848\uff08RQ1\uff09<\/h3>\n\n\n\n<p>\u4e3a\u9a8c\u8bc1 RQ1\uff0c\u6211\u4eec\u8fdb\u884c\u5bf9\u6bd4\u5b9e\u9a8c\uff1a\u63d0\u793a\u6a21\u578b\u751f\u6210\u63a8\u7406\u8fc7\u7a0b\u548c\u6700\u7ec8\u7b54\u6848\uff0c\u5bf9\u6bcf\u4e2a\u6837\u672c\u9009\u62e9 DRM \u5956\u52b1\u6700\u9ad8\u7684\u63a8\u7406\u8fc7\u7a0b\uff0c\u5e76\u8bc4\u4f30\u5bf9\u5e94\u7b54\u6848\u7684\u6b63\u786e\u6027\uff08\u8be5\u6b63\u786e\u6027\u76f4\u63a5\u53cd\u6620 DRM \u5956\u52b1\u4fe1\u53f7\u7684\u6709\u6548\u6027\uff09\u3002\u6211\u4eec\u5c06\u5176\u4e0e\u4e24\u79cd\u57fa\u7ebf\u5bf9\u6bd4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u968f\u673a\u91c7\u6837\u63a8\u7406\u8fc7\u7a0b\u7684\u57fa\u7ebf\uff08\u53cd\u6620\u65e0\u663e\u5f0f\u76d1\u7763\u65f6\u7684\u6a21\u578b\u539f\u751f\u6027\u80fd\uff09\uff1b<\/li>\n\n\n\n<li>\u5355\u72ec\u4f7f\u7528 DRM \u67d0\u4e00\u7ef4\u5ea6\uff08\u7f6e\u4fe1\u5ea6\u3001\u76f8\u5173\u6027\u3001\u8fde\u8d2f\u6027\uff09\u7684\u57fa\u7ebf\uff08\u8bc4\u4f30\u5404\u7ef4\u5ea6\u7684\u72ec\u7acb\u8d21\u732e\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u8868 3\uff1a\u5404\u63a8\u7406\u76d1\u7763\u65b9\u6cd5\u5728 RewardBench 2 \u4e0a\u7684\u7b54\u6848\u6b63\u786e\u7387\uff08%\uff09<\/strong><\/p>\n\n\n\n<p>\uff08\u6ce8\uff1a(0.1,0.2,0.7) \u8868\u793a\u7f6e\u4fe1\u5ea6\u3001\u76f8\u5173\u6027\u3001\u8fde\u8d2f\u6027\u7684\u6743\u91cd\u5206\u522b\u4e3a 0.1\u30010.2\u30010.7\uff0c\u6bcf\u5217\u6700\u9ad8\u5206\u4ee5\u7c97\u4f53\u6807\u6ce8\uff09<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u6a21\u578b<\/th><th>\u968f\u673a\u91c7\u6837<\/th><th>\u4ec5\u7f6e\u4fe1\u5ea6<\/th><th>\u4ec5\u76f8\u5173\u6027<\/th><th>\u4ec5\u8fde\u8d2f\u6027<\/th><th>\u7b49\u6743\u91cd\u878d\u5408<\/th><th>\u52a0\u6743\u878d\u5408 (0.1,0.2,0.7)<\/th><\/tr><\/thead><tbody><tr><td>LLaMA3.1-8B-Instruct<\/td><td>67.17<\/td><td>65.44<\/td><td>72.32<\/td><td>78.55<\/td><td>77.45<\/td><td><strong>78.57<\/strong><\/td><\/tr><tr><td>R1-Distil-Llama8B<\/td><td>63.46<\/td><td>63.10<\/td><td>66.76<\/td><td>76.35<\/td><td>75.11<\/td><td><strong>76.16<\/strong><\/td><\/tr><tr><td>Qwen3-8B<\/td><td>84.87<\/td><td>83.20<\/td><td>85.10<\/td><td>85.54<\/td><td>85.01<\/td><td><strong>85.65<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u5982\u8868 3 \u6240\u793a\uff0cDRM \u7684\u7b54\u6848\u6b63\u786e\u7387\u59cb\u7ec8\u9ad8\u4e8e\u968f\u673a\u91c7\u6837\u57fa\u7ebf\uff1a\u5355\u72ec\u4f7f\u7528\u7f6e\u4fe1\u5ea6\u5f97\u5206\u4f1a\u8f7b\u5fae\u964d\u4f4e\u6b63\u786e\u7387\uff0c\u4f46\u5c06\u5176\u4e0e\u76f8\u5173\u6027\u3001\u8fde\u8d2f\u6027\u878d\u5408\u540e\u6027\u80fd\u663e\u8457\u63d0\u5347\uff0c\u8868\u660e\u8fd9\u4e09\u4e2a\u7ef4\u5ea6\u6355\u6349\u4e86\u63a8\u7406\u8d28\u91cf\u7684\u4e92\u8865\u65b9\u9762\u3002\u6211\u4eec\u901a\u8fc7\u9a8c\u8bc1\u96c6\u7f51\u683c\u641c\u7d22\u786e\u5b9a\u878d\u5408\u6743\u91cd\uff0c\u5e76\u5728\u540e\u7eed\u5b9e\u9a8c\u4e2d\u56fa\u5b9a\u8be5\u6743\u91cd\uff08\u989d\u5916\u652f\u6301\u5b9e\u9a8c\u89c1\u9644\u5f55 E\uff09\u3002\u8fd9\u4e9b\u7ed3\u679c\u8bc1\u660e\uff0c\u4e09\u4e2a\u7ef4\u5ea6\u7684\u8054\u5408\u878d\u5408\u63d0\u5347\u4e86\u63a8\u7406\u8bc4\u4f30\u7684\u53ef\u9760\u6027\uff0c\u4e14 DRM \u80fd\u6709\u6548\u8bc6\u522b\u51fa\u5bf9\u5e94\u66f4\u9ad8\u7b54\u6848\u6b63\u786e\u7387\u7684\u4f18\u8d28\u63a8\u7406\u8fc7\u7a0b \u2014\u2014 \u8fd9\u5bf9\u5927\u591a\u6570\u4f9d\u8d56\u7b54\u6848\u6b63\u786e\u6027\u8bc4\u4f30\u7684\u4efb\u52a1\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.3 \u8bc4\u4f30 DRM \u76d1\u7763\u7684\u6709\u6548\u6027\uff08RQ2\u3001RQ3\uff09<\/h3>\n\n\n\n<p>\u672c\u90e8\u5206\u805a\u7126 RQ2 \u548c RQ3\uff0c\u91c7\u7528\u542b\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u635f\u5931\u7684 DPO \u8fdb\u884c\u79bb\u7ebf\u7b56\u7565\u5f3a\u5316\u5b66\u4e60\uff08\u6570\u5b66\u7ec6\u8282\u89c1\u9644\u5f55 B.1\uff09\u3002\u6211\u4eec\u57fa\u4e8e\u4e0d\u540c\u76d1\u7763\u4fe1\u53f7\u6784\u5efa\u72ec\u7acb\u8bad\u7ec3\u96c6\uff1aDRM \u5956\u52b1\u4f5c\u4e3a\u63a8\u7406\u76d1\u7763\u4fe1\u53f7\uff08\u9009\u62e9\u63a8\u7406\u8d28\u91cf\u66f4\u9ad8\u7684\u6837\u672c\uff09\uff0cRLVR \u5956\u52b1\u4f5c\u4e3a\u7b54\u6848\u76d1\u7763\u4fe1\u53f7\uff08\u57fa\u4e8e\u7b54\u6848\u6b63\u786e\u6027\u9009\u62e9\u6837\u672c\uff09\u3002\u5bf9\u4e8e RewardBench 2 \u4e2d\u7684\u6bcf\u4e2a\u5b9e\u4f8b\uff0c\u6211\u4eec\u63d0\u793a\u6a21\u578b\u751f\u6210 20 \u4e2a\u5305\u542b\u9010\u6b65\u63a8\u7406\u548c\u6700\u7ec8\u7b54\u6848\u7684\u6837\u672c\uff0c\u518d\u6839\u636e\u5bf9\u5e94\u76d1\u7763\u4fe1\u53f7\u5bf9\u6837\u672c\u8bc4\u5206\u5e76\u9009\u62e9\uff0c\u5f62\u6210\u504f\u597d\u5bf9\uff08\u6784\u5efa\u65b9\u5f0f\u5982\u4e0b\uff09\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.3.1 \u8bad\u7ec3\u96c6\u6784\u5efa\u89c4\u5219<\/h4>\n\n\n\n<p>\u8bbex\u4e3a\u96c6\u5408X\uff08\u540c\u4e00\u5b9e\u4f8b\u751f\u6210\u7684\u6240\u6709\u6837\u672c\uff09\u4e2d\u7684\u4e00\u4e2a\u6837\u672c\uff0c\u6bcf\u4e2a\u6837\u672c\u5173\u8054\u6b63\u786e\u6027\u6807\u7b7e\\(\\mathrm{answer}_{x}\\in\\{\\text{True},\\text{False}\\}\\)\u548c\u63a8\u7406\u8d28\u91cf\u5f97\u5206\\(\\mathrm{score}_{x}\\)\u3002\u6b63\u6837\u672c\u96c6\\(X^{+}\\)\u548c\u8d1f\u6837\u672c\u96c6\\(X^{-}\\)\u901a\u8fc7<strong>SUBSET \u89c4\u5219<\/strong>\u5b9a\u4e49\uff0c\u504f\u597d\u5bf9\u901a\u8fc7<strong>SUPERVISION \u65b9\u6cd5<\/strong>\u9009\u62e9\uff0c\u4e24\u8005\u5171\u540c\u552f\u4e00\u786e\u5b9a\u8bad\u7ec3\u96c6\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>SUBSET \u89c4\u5219<\/strong>\uff08\u6837\u672c\u7b5b\u9009\u8303\u56f4\uff09\uff1a\n<ul class=\"wp-block-list\">\n<li>any\uff1a\\(X^{+}=X^{-}=X\\)\uff08\u6240\u6709\u6837\u672c\uff09\uff1b<\/li>\n\n\n\n<li>T+T\uff1a\\(X^{+}=X^{-}=\\{x\\mid\\mathrm{answer}_{x}=\\text{True},x\\in X\\}\\)\uff08\u4ec5\u6b63\u786e\u7b54\u6848\u6837\u672c\uff09\uff1b<\/li>\n\n\n\n<li>T+F\uff1a\\(X^{+}=\\{x\\mid\\mathrm{answer}_{x}=\\text{True},x\\in X\\}\\)\uff0c\\(X^{-}=\\{x\\mid\\mathrm{answer}_{x}=\\text{False},x\\in X\\}\\)\uff08\u6b63\u786e\u7b54\u6848\u6837\u672c vs \u9519\u8bef\u7b54\u6848\u6837\u672c\uff09\uff1b<\/li>\n\n\n\n<li>F+F\uff1a\\(X^{+}=X^{-}=\\{x\\mid\\mathrm{answer}_{x}=\\text{False},x\\in X\\}\\)\uff08\u4ec5\u9519\u8bef\u7b54\u6848\u6837\u672c\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>SUPERVISION \u65b9\u6cd5<\/strong>\uff08\u504f\u597d\u5bf9\u9009\u62e9\uff09\uff1a\n<ul class=\"wp-block-list\">\n<li>DRM\uff1a\\(\\{(x^{+},x^{-})|x^{+}=\\arg\\max_{x\\in X}\\mathrm{score}_{x},\\,x^{-}=\\arg\\min_{x\\in X}\\mathrm{score}_{x}\\}\\)\uff08\u9009\u62e9 DRM \u5f97\u5206\u6700\u9ad8\u548c\u6700\u4f4e\u7684\u6837\u672c\u5bf9\uff09\uff1b<\/li>\n\n\n\n<li>RLVR\uff1a\\(\\{(x^{+},x^{-})|x^{+}=\\text{random}(X^{+}),\\,x^{-}=\\text{random}(X^{-})\\}\\)\uff08\u4ece\u6b63 \/ \u8d1f\u6837\u672c\u96c6\u4e2d\u968f\u673a\u9009\u62e9\u6837\u672c\u5bf9\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u6211\u4eec\u7528 \u201cSUPERVISION@SUBSET\u201d \u8868\u793a\u8bad\u7ec3\u96c6\u6784\u5efa\u65b9\u5f0f\uff0c\u4f8b\u5982 \u201cDRM@T+F\u201d \u6307\u9009\u62e9 \u201cDRM \u5f97\u5206\u6700\u9ad8\u7684\u6b63\u786e\u7b54\u6848\u6837\u672c\u201d \u4e0e \u201cDRM \u5f97\u5206\u6700\u4f4e\u7684\u9519\u8bef\u7b54\u6848\u6837\u672c\u201d \u7ec4\u6210\u504f\u597d\u5bf9\uff1b\u201cRLVR@T+\u201cRLVR@T+F\u201d \u5219\u57fa\u4e8e RLVR \u5047\u8bbe\uff08\u76f8\u540c\u7b54\u6848\u6837\u672c\u7b49\u4ef7\uff09\uff0c\u901a\u8fc7\u7b54\u6848\u76d1\u7763\u6784\u5efa\u8bad\u7ec3\u96c6\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.3.2 \u5b9e\u9a8c\u7ed3\u679c\u4e0e\u5206\u6790<\/h4>\n\n\n\n<p>\u6211\u4eec\u4e3a\u6bcf\u4e2a\u8bad\u7ec3\u96c6\u72ec\u7acb\u8bad\u7ec3\u6a21\u578b\uff08\u5b8c\u6574\u8bad\u7ec3\u7ec6\u8282\u89c1\u9644\u5f55 D.3\uff09\uff0c\u8868 4 \u5c55\u793a\u4e86\u4ee5 LLaMA3.1-8B-Instruct \u4e3a\u57fa\u7840\u6a21\u578b\u7684\u5bf9\u6bd4\u7ed3\u679c\uff08\u5176\u4ed6\u6a21\u578b\u8d8b\u52bf\u4e00\u81f4\uff0c\u89c1\u9644\u5f55 E.2\uff09\u3002<\/p>\n\n\n\n<p><strong>\u8868 4\uff1aRQ2\u3001RQ3 \u7684\u5bf9\u7167\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/p>\n\n\n\n<p>\uff08\u6ce8\uff1a\u6570\u5b66\u4efb\u52a1\u7528 math-verify \u8bc4\u4f30\uff0c\u5176\u4ed6\u4efb\u52a1\u7528 EM \u8bc4\u4f30\uff1b\u6240\u6709\u6a21\u578b\u8bad\u7ec3\u6b65\u6570\u4e00\u81f4\u4ee5\u786e\u4fdd\u516c\u5e73\u6027\uff0c\u6bcf\u884c\u6700\u9ad8\u5206\u4ee5\u7c97\u4f53\u6807\u6ce8\uff09<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u4efb\u52a1\u9886\u57df<\/th><th>\u6570\u636e\u96c6<\/th><th>\u539f\u751f\u6a21\u578b<\/th><th>RLVR@any<\/th><th>RLVR@T+F<\/th><th>DRM@any<\/th><th>RLVR@T+T<\/th><th>DRM@T+T<\/th><th>RLVR@F+F<\/th><th>DRM@F+F<\/th><\/tr><\/thead><tbody><tr><td>\u4ee3\u7801<\/td><td>CodeMMLU<\/td><td>58.8<\/td><td>58.8<\/td><td>59.5<\/td><td><strong>59.9<\/strong><\/td><td>58.9<\/td><td>59.6<\/td><td>59.6<\/td><td><strong>61.3<\/strong><\/td><\/tr><tr><td><\/td><td>CodeScope<\/td><td>34.8<\/td><td>35.4<\/td><td>37.4<\/td><td><strong>41.1<\/strong><\/td><td>36.2<\/td><td><strong>41.0<\/strong><\/td><td>36.6<\/td><td>40.0<\/td><\/tr><tr><td><\/td><td>Cruxeval<\/td><td>50.4<\/td><td>53.5<\/td><td>52.6<\/td><td><strong>57.5<\/strong><\/td><td>53.6<\/td><td>56.6<\/td><td>53.9<\/td><td>55.9<\/td><\/tr><tr><td><\/td><td>Execution-v2<\/td><td>38.2<\/td><td>40.9<\/td><td>43.2<\/td><td><strong>45.3<\/strong><\/td><td>39.2<\/td><td><strong>45.5<\/strong><\/td><td>40.3<\/td><td><strong>46.8<\/strong><\/td><\/tr><tr><td>\u504f\u597d<\/td><td>RM-Bench<\/td><td>56.4<\/td><td>59.3<\/td><td>59.2<\/td><td><strong>61.0<\/strong><\/td><td>60.0<\/td><td>60.3<\/td><td>59.7<\/td><td><strong>61.9<\/strong><\/td><\/tr><tr><td><\/td><td>UltraFeedback<\/td><td>66.6<\/td><td>65.6<\/td><td>65.4<\/td><td><strong>69.9<\/strong><\/td><td>66.4<\/td><td>67.7<\/td><td>64.5<\/td><td><strong>68.8<\/strong><\/td><\/tr><tr><td>\u6570\u5b66<\/td><td>AIME24<\/td><td>4.7<\/td><td>4.7<\/td><td>4.0<\/td><td><strong>6.0<\/strong><\/td><td>4.7<\/td><td><strong>7.3<\/strong><\/td><td>4.7<\/td><td>4.0<\/td><\/tr><tr><td><\/td><td>AMC23<\/td><td>22.5<\/td><td>23.5<\/td><td>23.5<\/td><td><strong>29.5<\/strong><\/td><td>23.0<\/td><td>25.5<\/td><td>22.0<\/td><td>26.5<\/td><\/tr><tr><td><\/td><td>GSM8K<\/td><td>88.8<\/td><td>89.0<\/td><td>89.5<\/td><td><strong>91.8<\/strong><\/td><td>90.2<\/td><td>91.7<\/td><td>88.7<\/td><td>91.7<\/td><\/tr><tr><td><\/td><td>Math500<\/td><td>39.6<\/td><td>41.4<\/td><td>43.4<\/td><td><strong>48.4<\/strong><\/td><td>42.0<\/td><td>46.6<\/td><td>40.0<\/td><td><strong>48.4<\/strong><\/td><\/tr><tr><td>\u79d1\u5b66\u95ee\u7b54<\/td><td>MMLU-Pro<\/td><td>41.9<\/td><td>45.3<\/td><td>46.4<\/td><td><strong>48.7<\/strong><\/td><td>45.7<\/td><td>48.4<\/td><td>46.6<\/td><td><strong>49.0<\/strong><\/td><\/tr><tr><td><\/td><td>GPQA<\/td><td>31.3<\/td><td>28.8<\/td><td>32.8<\/td><td><strong>35.9<\/strong><\/td><td>29.8<\/td><td>30.3<\/td><td>29.8<\/td><td><strong>35.4<\/strong><\/td><\/tr><tr><td>\u903b\u8f91\u63a8\u7406<\/td><td>MuSR<\/td><td>48.3<\/td><td>49.5<\/td><td>49.7<\/td><td><strong>51.7<\/strong><\/td><td>48.3<\/td><td><strong>53.3<\/strong><\/td><td>49.7<\/td><td>51.6<\/td><\/tr><tr><td><\/td><td>DROP<\/td><td>56.9<\/td><td>61.0<\/td><td>62.9<\/td><td><strong>63.6<\/strong><\/td><td>60.0<\/td><td><strong>64.4<\/strong><\/td><td>58.5<\/td><td><strong>65.1<\/strong><\/td><\/tr><tr><td><\/td><td>QASC<\/td><td>84.4<\/td><td>84.0<\/td><td>84.2<\/td><td><strong>87.2<\/strong><\/td><td>83.8<\/td><td><strong>87.8<\/strong><\/td><td>83.4<\/td><td>86.2<\/td><\/tr><tr><td>\u95ee\u7b54<\/td><td>2wiki<\/td><td>33.8<\/td><td>33.2<\/td><td>34.6<\/td><td><strong>35.6<\/strong><\/td><td>32.3<\/td><td>32.7<\/td><td>30.7<\/td><td>33.4<\/td><\/tr><tr><td><\/td><td>HotpotQA<\/td><td>29.3<\/td><td>29.9<\/td><td>30.1<\/td><td><strong>31.8<\/strong><\/td><td>29.3<\/td><td>30.1<\/td><td>29.1<\/td><td>29.7<\/td><\/tr><tr><td>\u95ee\u7b54 &#8211; RAG<\/td><td>2wiki_RAG<\/td><td>31.2<\/td><td>32.1<\/td><td>35.8<\/td><td><strong>39.9<\/strong><\/td><td>36.6<\/td><td><strong>41.4<\/strong><\/td><td>32.1<\/td><td><strong>43.3<\/strong><\/td><\/tr><tr><td><\/td><td>HotpotQA_RAG<\/td><td>28.3<\/td><td>28.3<\/td><td>32.3<\/td><td><strong>34.5<\/strong><\/td><td>29.3<\/td><td>32.3<\/td><td>28.5<\/td><td>33.8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>RQ2 \u9a8c\u8bc1<\/strong>\uff1a\u4e3a\u8bc4\u4f30 DRM \u5956\u52b1\u4fe1\u53f7\u80fd\u5426\u88ab\u6709\u6548\u5b66\u4e60\uff0c\u6211\u4eec\u5bf9\u6bd4 \u201c\u539f\u751f\u6a21\u578b\u201d \u4e0e \u201cDRM@any\u201d\uff0c\u5e76\u4ee5 \u201cRLVR@any\u201d\uff08\u968f\u673a\u6784\u5efa\u8bad\u7ec3\u96c6\uff09\u4e3a\u5bf9\u7167\u7ec4\u3002\u201cDRM@any\u201d \u5b8c\u5168\u57fa\u4e8e DRM \u5956\u52b1\u4fe1\u53f7\u6784\u5efa\u8bad\u7ec3\u96c6\uff0c\u672a\u5f15\u5165\u4efb\u4f55\u7b54\u6848\u6b63\u786e\u6027\u4fe1\u606f\u3002\u8868 4 \u663e\u793a\uff0c\u201cDRM@any\u201d \u5728\u6240\u6709\u6570\u636e\u96c6\u4e0a\u5747\u4f18\u4e8e\u5176\u4ed6\u8bbe\u7f6e\uff0c\u4e14\u5728\u5206\u5e03\u5916\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u8bc1\u660e\u6a21\u578b\u80fd\u6cdb\u5316\u5230\u8bad\u7ec3\u5206\u5e03\u4e4b\u5916\u3002\u7ed3\u679c\u8868\u660e\uff0c\u5373\u4f7f\u6ca1\u6709\u7b54\u6848\u76d1\u7763\uff08\u5373\u65e0\u771f\u5b9e\u6807\u7b7e\uff09\uff0cDRM \u76d1\u7763\u4ecd\u80fd\u88ab\u6a21\u578b\u6709\u6548\u5b66\u4e60\u3002<\/li>\n\n\n\n<li><strong>RQ3 \u9a8c\u8bc1<\/strong>\uff1a\u6211\u4eec\u4ece\u4e24\u4e2a\u5173\u952e\u65b9\u9762\u5bf9\u6bd4 DRM \u4e0e RLVR \u7684\u6709\u6548\u6027\uff1a\n<ol class=\"wp-block-list\">\n<li><strong>\u6027\u80fd\u63d0\u5347<\/strong>\uff1a\u5bf9\u6bd4 \u201cRLVR@T+F\u201d \u4e0e \u201cDRM@any\u201d\uff0c\u68c0\u9a8c\u63a8\u7406\u76d1\u7763\u662f\u5426\u4f18\u4e8e\u4ec5\u7b54\u6848\u76d1\u7763\u3002\u7ed3\u679c\u663e\u793a\uff0c\u201cDRM@any\u201d \u6027\u80fd\u59cb\u7ec8\u66f4\u9ad8\uff0c\u8bc1\u660e DRM \u76d1\u7763\u7684\u8bad\u7ec3\u6548\u679c\u4f18\u4e8e RLVR\u3002<\/li>\n\n\n\n<li><strong>\u514b\u670d\u5c40\u9650<\/strong>\uff1a\u5bf9\u6bd4 \u201cRLVR@T+T\u201d \u4e0e \u201cDRM@T+T\u201d\u3001\u201cRLVR@F+F\u201d \u4e0e \u201cDRM@F+F\u201d\uff0c\u68c0\u9a8c\u5f53\u6240\u6709\u6837\u672c\u7b54\u6848\u6b63\u786e\u6027\u6807\u7b7e\u76f8\u540c\u65f6\uff08RLVR \u65e0\u6cd5\u751f\u6210\u504f\u597d\u4fe1\u53f7\uff09\uff0cDRM \u662f\u5426\u4ecd\u80fd\u63d0\u4f9b\u6709\u6548\u76d1\u7763\u3002\u7ed3\u679c\u8868\u660e\uff0cDRM \u80fd\u533a\u5206\u8fd9\u7c7b\u573a\u666f\u4e0b\u7684\u63a8\u7406\u8d28\u91cf\uff0c\u8bc1\u660e\u5176\u80fd\u751f\u6210\u66f4\u5177\u4fe1\u606f\u91cf\u7684\u76d1\u7763\u4fe1\u53f7\uff0c\u6269\u5c55\u6a21\u578b\u9002\u7528\u573a\u666f\u3002<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n\n\n\n<p>\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5c06 DRM \u4e0e\u4e09\u79cd\u5f3a\u57fa\u7ebf\u6a21\u578b\u5bf9\u6bd4\uff08\u8868 5\uff09\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u57fa\u4e8e Sky<\/li>\n\n\n\n<li>\u57fa\u4e8e Skywork-Reward-V2-Llama-3.1-8B\uff08\u5f3a ORM\uff09\u63a8\u7406\u76d1\u7763\u4fe1\u53f7\u8bad\u7ec3\u7684\u6a21\u578b\uff1b<\/li>\n\n\n\n<li>\u63a8\u7406\u589e\u5f3a\u6a21\u578b RLPR\uff08Yu et al., 2025b\uff09\uff1b<\/li>\n\n\n\n<li>\u63a8\u7406\u589e\u5f3a\u6a21\u578b Klear\uff08Su et al., 2025\uff09\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u7ed3\u679c\u663e\u793a\uff0cDRM \u5728\u5927\u591a\u6570\u5f00\u653e\u57df\u4e0b\u6e38\u4efb\u52a1\u4e2d\u4f18\u4e8e\u6240\u6709\u57fa\u7ebf\uff0c\u4e14\u5728\u76f8\u540c\u9aa8\u5e72\u6a21\u578b\u4e0b\u8d85\u8d8a RLPR \u548c Klear\uff0c\u8bc1\u660e\u5176\u6709\u6548\u6027\uff1b\u540c\u65f6\uff0cDRM \u4e5f\u4f18\u4e8e\u57fa\u4e8e Skywork \u76d1\u7763\u7684\u6a21\u578b\uff0c\u8868\u660e\u5176\u80fd\u5b9e\u73b0\u66f4\u5f3a\u7684\u6cdb\u5316\u63a8\u7406\u80fd\u529b\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u6211\u4eec\u7684\u8bad\u7ec3\u4ec5\u4f9d\u8d56 RewardBench 2 \u7684\u504f\u597d\u6570\u636e\uff08\u4e0e\u5956\u52b1\u6a21\u578b\u8bad\u7ec3\u6570\u636e\u7c7b\u578b\u4e00\u81f4\uff09\uff0c\u65e0\u9700\u771f\u5b9e\u6807\u7b7e\u6216\u4efb\u52a1\u7279\u5b9a\u5fae\u8c03\uff0c\u51f8\u663e\u4e86\u65b9\u6cd5\u7684\u6570\u636e\u9ad8\u6548\u6027\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.4 \u7ed3\u5408 DRM \u589e\u5f3a RLVR\uff08RQ4\uff09<\/h3>\n\n\n\n<p>\u672c\u90e8\u5206\u9a8c\u8bc1 RQ4\uff0c\u901a\u8fc7\u5728\u7ebf\u7b56\u7565 GRPO \u8bad\u7ec3\u5bf9\u6bd4\u4e09\u79cd\u4f18\u52bf\u914d\u7f6e\uff1a\u4ec5\u7b54\u6848\u76d1\u7763\u3001\u4ec5\u63a8\u7406\u76d1\u7763\u3001\u4e24\u8005\u878d\u5408\u3002\u8be5\u8bbe\u7f6e\u76f4\u63a5\u68c0\u9a8c DRM \u76d1\u7763\u53ca \u201cDRM+RLVR\u201d \u878d\u5408\u80fd\u5426\u5b9e\u73b0\u6027\u80fd\u63d0\u5347\uff0c\u540c\u65f6\u9a8c\u8bc1\u79bb\u7ebf\u8bad\u7ec3\u4e2d\u7684\u8d8b\u52bf\u662f\u5426\u5728\u5728\u7ebf\u8bad\u7ec3\u4e2d\u4fdd\u6301\u4e00\u81f4\uff08GRPO \u8bad\u7ec3\u7ec6\u8282\u89c1\u9644\u5f55 D.4\uff09\u3002<\/p>\n\n\n\n<p>\u8868 6 \u663e\u793a\uff0c\u5728\u5927\u591a\u6570\u6a21\u578b\u9aa8\u5e72\u548c\u5f00\u653e\u57df\u4ee3\u8868\u6027\u57fa\u51c6\u4e0a\uff0c\u878d\u5408\u65b9\u6cd5\u7684\u6027\u80fd\u4e0e\u6700\u4f73\u5355\u4e00\u76d1\u7763\u65b9\u6cd5\u76f8\u5f53\u6216\u66f4\u4f18\uff08\u5b8c\u6574\u7ed3\u679c\u89c1\u9644\u5f55 E.3\uff09\uff0c\u4e14\u8be5\u8d8b\u52bf\u5728\u79bb\u7ebf\u8bbe\u7f6e\u4e2d\u4e5f\u4e00\u81f4\u5b58\u5728\u3002\u878d\u5408\u65b9\u6cd5\u4f18\u4e8e RLVR\uff0c\u8868\u660e\u5728\u7b56\u7565\u4f18\u5316\u4e2d\u7ed3\u5408\u63a8\u7406\u76d1\u7763\u4e0e\u7b54\u6848\u76d1\u7763\uff0c\u80fd\u901a\u8fc7\u5f15\u5bfc\u4e2d\u95f4\u63a8\u7406\u6b65\u9aa4\u63d0\u5347\u6027\u80fd\uff1b\u4e0e DRM \u76f8\u6bd4\uff0c\u878d\u5408\u65b9\u6cd5\u867d\u6709\u63d0\u5347\uff0c\u4f46\u5728\u90e8\u5206\u63a8\u7406\u5bc6\u96c6\u578b\u6216\u77e5\u8bc6\u5bc6\u96c6\u578b\u6570\u636e\u96c6\uff08\u5982 MuSR\u3001GPQA\uff09\u4e2d\u7565\u6709\u4e0b\u964d\uff0c\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a RLVR \u5ffd\u7565\u63a8\u7406\u8fc7\u7a0b\u7684\u7279\u6027\u5e72\u6270\u4e86\u4f18\u5316\u3002\u603b\u4f53\u800c\u8a00\uff0c\u7ed3\u679c\u8bc1\u660e \u201c\u7b54\u6848\u76d1\u7763 + \u63a8\u7406\u76d1\u7763\u201d \u7684\u878d\u5408\u80fd\u5728\u591a\u6837\u5f00\u653e\u57df\u4efb\u52a1\u4e2d\u5b9e\u73b0\u7a33\u5b9a\u63d0\u5347\uff0c\u5bf9 RQ4 \u7ed9\u51fa\u4e86\u80af\u5b9a\u56de\u7b54\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4 \u5206\u6790<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 DRM \u80fd\u5426\u8bc6\u522b\u9ad8\u8d28\u91cf\u63a8\u7406\u8fc7\u7a0b\uff1f<\/h3>\n\n\n\n<p>\u5982\u7b2c 2 \u8282\u6240\u8ff0\uff0c\u5927\u591a\u6570\u4efb\u52a1\u4ec5\u57fa\u4e8e\u7b54\u6848\u6b63\u786e\u6027\u8bc4\u4f30\u6a21\u578b\uff0c\u4f46\u6e05\u6670\u8fde\u8d2f\u7684\u63a8\u7406\u8fc7\u7a0b\u6709\u52a9\u4e8e\u7528\u6237\u8bc4\u4f30\u548c\u4fe1\u4efb\u5927\u8bed\u8a00\u6a21\u578b\u7684\u8f93\u51fa\u3002\u672c\u90e8\u5206\u68c0\u9a8c DRM \u80fd\u5426\u8bc6\u522b \u201c\u771f\u6b63\u9ad8\u8d28\u91cf\u7684\u63a8\u7406\u8fc7\u7a0b\u201d\uff1a\u6211\u4eec\u63d0\u793a GPT-4o \u5224\u65ad\u4e24\u79cd\u76d1\u7763\u65b9\u6cd5\uff08RLVR\uff1a\u7b54\u6848\u76d1\u7763\uff1bDRM\uff1a\u63a8\u7406\u76d1\u7763\uff09\u6784\u5efa\u7684\u79bb\u7ebf\u8bad\u7ec3\u96c6\u4e2d\uff0c\u662f\u5426\u5b58\u5728 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u7684\u6837\u672c\u3002<\/p>\n\n\n\n<p>\u56fe 2 (a) \u663e\u793a\uff0c\u4f7f\u7528 DRM \u65f6\uff0c\u6240\u6709\u6a21\u578b\u7684 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u6837\u672c\u6570\u91cf\u5747\u5927\u5e45\u51cf\u5c11\u3002\u8fd9\u8868\u660e DRM \u76f8\u6bd4 RLVR \u66f4\u504f\u597d\u63a8\u7406\u8d28\u91cf\u66f4\u9ad8\u7684\u6837\u672c\uff0c\u8bc1\u5b9e\u63a8\u7406\u76d1\u7763\u80fd\u6709\u6548\u8bc6\u522b \u201c\u7b54\u6848\u6b63\u786e\u4e14\u63a8\u7406\u4e25\u8c28\u201d \u7684\u6837\u672c\u3002\u7ed3\u5408 3.2 \u8282 RQ1 \u7684\u5b9e\u9a8c\uff0c\u6211\u4eec\u8bc1\u660e\u591a\u7ef4\u5ea6\u63a8\u7406\u76d1\u7763\u4e0d\u4ec5\u80fd\u63d0\u5347\u7b54\u6848\u6b63\u786e\u7387\uff0c\u8fd8\u80fd\u901a\u8fc7\u51cf\u5c11 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u7684\u60c5\u51b5\uff0c\u6539\u5584\u63a8\u7406\u8d28\u91cf\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4.2 \u5404\u76d1\u7763\u7ef4\u5ea6\u7684\u6d88\u878d\u5b9e\u9a8c<\/h3>\n\n\n\n<p>\u6211\u4eec\u901a\u8fc7\u6d88\u878d\u5b9e\u9a8c\u68c0\u9a8c\u5355\u4e2a\u63a8\u7406\u76d1\u7763\u7ef4\u5ea6\u7684\u4f5c\u7528\uff1a\u4ee5\u539f\u751f\u6a21\u578b\u4e3a\u57fa\u7840\uff0c\u91c7\u7528\u76f8\u540c\u79bb\u7ebf\u8bad\u7ec3\u8bbe\u7f6e\uff0c\u6bcf\u6b21\u4ec5\u5bf9\u4e00\u4e2a\u7ef4\u5ea6\uff08\u7f6e\u4fe1\u5ea6\u3001\u76f8\u5173\u6027\u3001\u8fde\u8d2f\u6027\uff09\u8fdb\u884c\u76d1\u7763\uff0c\u4fdd\u6301\u5176\u4ed6\u8bad\u7ec3\u8bbe\u7f6e\u4e0d\u53d8\u3002<\/p>\n\n\n\n<p>\u56fe 2 (b) \u663e\u793a\uff0c\u5355\u4e2a\u7ef4\u5ea6\u7684\u76d1\u7763\u5728\u90e8\u5206\u7279\u5b9a\u4efb\u52a1\u4e0a\u80fd\u5e26\u6765\u63d0\u5347\uff0c\u4f46\u5728\u5176\u4ed6\u4efb\u52a1\u4e0a\u53ef\u80fd\u5bfc\u81f4\u6027\u80fd\u4e0b\u964d\u3002\u8fd9\u8868\u660e\u6bcf\u4e2a\u7ef4\u5ea6\u6355\u6349\u4e86\u63a8\u7406\u80fd\u529b\u7684\u4e0d\u540c\u65b9\u9762\uff0c\u4e14\u5728\u4e0d\u540c\u4efb\u52a1\u4e2d\u8868\u73b0\u5404\u5f02\uff0c\u6ca1\u6709\u4efb\u4f55\u5355\u4e00\u7ef4\u5ea6\u80fd\u5728\u591a\u6837\u4efb\u52a1\u4e2d\u5b9e\u73b0\u7a33\u5065\u63d0\u5347\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u878d\u5408\u591a\u4e2a\u4e92\u8865\u7ef4\u5ea6\u7684 DRM \u80fd\u4ea7\u751f\u534f\u540c\u6548\u5e94\uff0c\u5145\u5206\u5229\u7528\u5404\u7ef4\u5ea6\u4f18\u52bf\uff0c\u63d0\u5347\u6a21\u578b\u6cdb\u5316\u80fd\u529b\uff0c\u5b9e\u73b0\u66f4\u5e7f\u6cdb\u3001\u66f4\u7a33\u5b9a\u7684\u6027\u80fd\u63d0\u5347 \u2014\u2014 \u8fd9\u79cd\u63d0\u5347\u65e0\u6cd5\u5f52\u56e0\u4e8e\u4efb\u4f55\u5355\u4e00\u4e3b\u5bfc\u7ef4\u5ea6\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5 \u76f8\u5173\u5de5\u4f5c<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">5.1 \u5e26\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\uff08RLVR\uff09<\/h3>\n\n\n\n<p>RLVR \u901a\u8fc7\u81ea\u52a8\u53ef\u9a8c\u8bc1\u7684\u6b63\u786e\u6027\u4fe1\u53f7\u4f5c\u4e3a\u5956\u52b1\uff0c\u5f15\u5bfc\u6a21\u578b\u63a2\u7d22\u80fd\u751f\u6210\u6b63\u786e\u89e3\u7684\u63a8\u7406\u8def\u5f84\uff0c\u6709\u6548\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\uff08DeepSeek-AI et al., 2025\uff1bTeam et al., 2025\uff1bYang et al., 2025\uff09\uff08Lambert et al., 2025\uff1bZhang et al., 2025b\uff1bOpenAI et al., 2024\uff09\u3002Shao \u7b49\u4eba\uff082024\uff09\u63d0\u51fa GRPO \u4f5c\u4e3a RLVR \u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u5b83\u662f\u8fd1\u7aef\u7b56\u7565\u4f18\u5316\uff08PPO\uff09\uff08Schulman et al., 2017\uff09\u7684\u53d8\u4f53\uff0c\u7528\u57fa\u4e8e\u7ec4\u7684\u76f8\u5bf9\u4f18\u52bf\u4f30\u8ba1\u66ff\u4ee3\u72ec\u7acb\u4ef7\u503c\u51fd\u6570\uff0c\u65e0\u9700\u989d\u5916\u8bc4\u4ef7\u6a21\u578b\uff0c\u652f\u6301\u5927\u89c4\u6a21\u8bad\u7ec3\uff08Shao et al., 2024\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.2 \u5956\u52b1\u6a21\u578b<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">5.2.1 \u7ed3\u679c\u7ea7\u5956\u52b1\u6a21\u578b\uff08ORMs\uff09<\/h4>\n\n\n\n<p>\u7ed9\u5b9a\u7528\u6237\u8f93\u5165\uff0cORMs \u8bc4\u4f30\u6a21\u578b\u54cd\u5e94\u5e76\u7ed9\u51fa\u53cd\u6620\u7ed3\u679c\u5c42\u8d28\u91cf\u7684\u5206\u6570\uff08Zhang et al., 2025b\uff1bZhong et al., 2025\uff09\u3002\u5b83\u4eec\u901a\u5e38\u5728\u504f\u597d\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\uff0c\u5df2\u5e94\u7528\u4e8e\u591a\u79cd\u5f00\u653e\u57df\u4efb\u52a1\uff08Liu et al., 2025\uff1bZhong et al., 2025\uff1bLiu et al., 2025\uff1bWang et al., \uff09\u3002\u4f46\u7531\u4e8e ORMs \u8bc4\u4f30\u6574\u4f53\u54cd\u5e94\uff0c\u53ef\u80fd\u4f1a\u7ed9 \u201c\u63a8\u7406\u6709\u7f3a\u9677\u4f46\u7b54\u6848\u6b63\u786e\u201d \u7684\u6837\u672c\u9ad8\u5206\uff0c\u56e0\u4e3a\u5b83\u4eec\u672a\u663e\u5f0f\u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\uff08Lightman et al., 2024\uff1bCheng et al., 2025\uff1bWang et al., 2025\uff09\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">5.2.2 \u8fc7\u7a0b\u7ea7\u5956\u52b1\u6a21\u578b\uff08PRMs\uff09<\/h4>\n\n\n\n<p>PRMs \u65e8\u5728\u8bc4\u4f30\u63a8\u7406\u8fc7\u7a0b\u800c\u975e\u4ec5\u6700\u7ec8\u7b54\u6848\u3002\u4f8b\u5982\uff0cOpenORM\uff08Zhang et al., 2025a\uff09\u5c06\u5927\u8bed\u8a00\u6a21\u578b\u6269\u5c55\u4e3a\u7528\u4e8e\u5f00\u653e\u57df pairwise \u8bc4\u4f30\u7684 PRM\uff0c\u4f46\u4f5c\u4e3a\u8bad\u7ec3\u5956\u52b1\u65f6\u6548\u7387\u8f83\u4f4e\uff08Zhong et al., 2025\uff09\uff1bReasonFlux-PRM\uff08Zou et al., 2025\uff09\u7b49\u70b9\u5f0f PRM \u5bf9\u63a8\u7406\u8f68\u8ff9\u7684\u6bcf\u4e2a\u4e2d\u95f4\u6b65\u9aa4\u8bc4\u5206\uff0c\u4f46\u901a\u5e38\u4f9d\u8d56\u7279\u5b9a\u4e8e\u4efb\u52a1\u7684\u5b66\u4e60\u5206\u5272\u6a21\u5f0f\u3002ROSCOE\uff08Golovneva et al., 2023\uff09\u548c ReCEval\uff08Prasad et al., 2023\uff09\u63a2\u7d22\u4e86\u8bc4\u4f30\u601d\u7ef4\u94fe\u8d28\u91cf\u7684\u65b9\u6cd5\uff0c\u4f46\u8fd9\u4e9b\u65b9\u6cd5\u7f3a\u4e4f\u5bf9 \u201c\u6a21\u578b\u80fd\u5426\u6709\u6548\u5b66\u4e60\u6b64\u7c7b\u4fe1\u53f7\u201d \u7684\u5b9e\u8bc1\u9a8c\u8bc1\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">6 \u7ed3\u8bba<\/h2>\n\n\n\n<p>\u672c\u6587\u63d0\u51fa\u4e00\u79cd\u591a\u7ef4\u5ea6\u63a8\u7406\u7ea7\u76d1\u7763\u6846\u67b6\uff0c\u65e0\u9700\u771f\u5b9e\u6807\u7b7e\u5373\u53ef\u81ea\u52a8\u8bc4\u4f30\u5927\u8bed\u8a00\u6a21\u578b\u7684\u63a8\u7406\u8d28\u91cf\uff0c\u5c06\u7f6e\u4fe1\u5ea6\u3001\u76f8\u5173\u6027\u548c\u8fde\u8d2f\u6027\u6574\u5408\u4e3a\u5bc6\u96c6\u4e14\u53ef\u89e3\u91ca\u7684\u5206\u6570\u3002\u8be5\u6846\u67b6\u4f5c\u4e3a\u7ef4\u5ea6\u7ea7\u5956\u52b1\u6a21\u578b\uff08DRM\uff09\uff0c\u76f4\u63a5\u53cd\u6620\u63a8\u7406\u8fc7\u7a0b\u8d28\u91cf\uff1aDRM \u80fd\u63d0\u4f9b\u5bc6\u96c6\u3001\u5173\u6ce8\u63a8\u7406\u7684\u76d1\u7763\u4fe1\u53f7\uff0c\u65e0\u9700\u6b65\u9aa4\u5206\u5272\uff0c\u4ece\u800c\u89e3\u51b3\u4e86 RLVR \u548c PRMs \u7684\u6838\u5fc3\u5c40\u9650\u3002\u6211\u4eec\u8bc1\u660e\uff0cDRM \u5956\u52b1\u53ef\u5e94\u7528\u4e8e\u79bb\u7ebf\u504f\u597d\u4f18\u5316\u548c\u5728\u7ebf\u5f3a\u5316\u5b66\u4e60\uff0c\u4e14\u80fd\u4e0e\u53ef\u9a8c\u8bc1\u7b54\u6848\u5956\u52b1\u878d\u5408\uff0c\u5171\u540c\u63d0\u5347\u63a8\u7406\u8d28\u91cf\u548c\u7b54\u6848\u6b63\u786e\u6027\u3002\u5728\u591a\u6837\u5f00\u653e\u57df\u4efb\u52a1\u4e0a\u7684\u5b9e\u9a8c\u8868\u660e\uff0cDRM \u5728\u5206\u5e03\u5185\u548c\u5206\u5e03\u5916\u8bbe\u7f6e\u4e2d\u5747\u5b9e\u73b0\u4e86\u7a33\u5b9a\u63d0\u5347\uff0c\u51f8\u663e\u4e86\u5176\u76d1\u7763\u65b9\u6cd5\u7684\u6709\u6548\u6027\u548c\u901a\u7528\u6027\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u4e9b\u63d0\u5347\u65e0\u9700\u4efb\u52a1\u7279\u5b9a\u6570\u636e\u6216\u8bad\u7ec3\uff0c\u4f53\u73b0\u4e86\u6846\u67b6\u7684\u6570\u636e\u9ad8\u6548\u6027\u3002\u6211\u4eec\u671f\u671b\uff0c\u591a\u7ef4\u5ea6\u63a8\u7406\u76d1\u7763\u7684\u7814\u7a76\u89c1\u89e3\u80fd\u4e3a\u672a\u6765\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u53ef\u89e3\u91ca\u6027\u548c\u6cdb\u5316\u6027\u5960\u5b9a\u57fa\u7840\u3002<\/p>\n\n\n\n<p>\u6587\u7ae0\u6765\u6e90\uff1a<a href=\"https:\/\/arxiv.org\/html\/2510.11457v1\">https:\/\/arxiv.org\/html\/2510.11457v1<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6458\u8981 \u63d0\u5347\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u7684\u591a\u6b65\u63a8\u7406\u80fd\u529b\u662f\u4e00\u9879\u5173\u952e\u4e14\u5177\u6709\u6311\u6218&#46;&#46;&#46;<\/p>\n","protected":false},"author":2,"featured_media":254,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[41],"class_list":["post-253","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tools","tag-llms"],"_links":{"self":[{"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/posts\/253","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/comments?post=253"}],"version-history":[{"count":1,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/posts\/253\/revisions"}],"predecessor-version":[{"id":255,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/posts\/253\/revisions\/255"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/media\/254"}],"wp:attachment":[{"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/media?parent=253"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/categories?post=253"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smartaiunion.com\/index.php\/wp-json\/wp\/v2\/tags?post=253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}