{"id":19703,"date":"2025-01-30T00:44:06","date_gmt":"2025-01-29T16:44:06","guid":{"rendered":"https:\/\/www.aisharenet.com\/?p=19703"},"modified":"2025-01-30T00:44:06","modified_gmt":"2025-01-29T16:44:06","slug":"fuxiandeepseek-r1","status":"publish","type":"post","link":"https:\/\/www.kdjingpai.com\/en\/fuxiandeepseek-r1\/","title":{"rendered":"\u590d\u73b0DeepSeek-R1\uff1a8K\u6570\u5b66\u793a\u4f8b\u52a9\u529b\u5c0f\u578b\u6a21\u578b\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u5b9e\u73b0\u63a8\u7406\u7a81\u7834"},"content":{"rendered":"<p>Github:\u00a0<a href=\"https:\/\/github.com\/hkust-nlp\/simpleRL-reason\">https:\/\/github.com\/hkust-nlp\/simpleRL-reason<\/a><\/p>\n<p>&nbsp;<\/p>\n<aside>\u8fd9\u7bc7\u535a\u5ba2\u5c06\u5c55\u793a\u4e00\u4e2a\u5bf9<a href=\"https:\/\/www.kdjingpai.com\/deepseek-r1nenglixiang\/\">DeepSeek-R1-Zero \u548c DeepSeek-R1<\/a>\u8bad\u7ec3\u7684\u590d\u73b0\uff0c\u4f7f\u7528\u5c0f\u578b\u6a21\u578b\u548c\u6709\u9650\u6570\u636e\u8fdb\u884c\u8bad\u7ec3\uff0c\u5176\u4e2d\u8bb8\u591a\u5b9e\u9a8c\u5728\u6211\u4eec\u72ec\u7acb\u4e8eDeepSeek-R1\u53d1\u5e03\u4e4b\u524d\u5c31\u5df2\u7ecf\u5f00\u53d1\u548c\u6267\u884c\u4e86\u3002\u6211\u4eec\u5c55\u793a\u4e86\u5728\u4ec5\u4f7f\u75288K\u4e2a\u6570\u5b66\u793a\u4f8b\u7684\u60c5\u51b5\u4e0b\uff0c\u4e00\u4e2a7B\u6a21\u578b\u53ef\u4ee5\u51fa\u73b0\u957f\u94fe\u5f0f\u601d\u7ef4\uff08CoT\uff09\u548c\u81ea\u6211\u53cd\u601d\uff0c\u5e76\u4e14\u5728\u590d\u6742\u7684\u6570\u5b66\u63a8\u7406\u4e0a\u53d6\u5f97\u4e86\u60ca\u4eba\u7684\u5f3a\u5927\u7ed3\u679c\u3002\u91cd\u8981\u7684\u662f\uff0c\u6211\u4eec\u5c06\u6211\u4eec\u7684\u8bad\u7ec3\u4ee3\u7801\u548c\u7ec6\u8282\u5b8c\u5168\u5f00\u6e90\u7ed9\u793e\u533a\uff0c\u4ee5\u6fc0\u53d1\u66f4\u591a\u5173\u4e8e\u63a8\u7406\u7684\u7814\u7a76\u3002<\/aside>\n<aside><\/aside>\n<aside>\u4eceQwen2.5-Math-7B\uff08\u57fa\u7840\u6a21\u578b\uff09\u5f00\u59cb\uff0c\u6211\u4eec\u76f4\u63a5\u5bf9\u5176\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\uff0c\u4ec5\u4f7f\u7528\u6765\u81eaMATH\u6570\u636e\u96c6\u76848K\u4e2a\u793a\u4f8b\u3002\u6ca1\u6709\u5956\u52b1\u6a21\u578b\uff0c\u6ca1\u6709\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c\u53ea\u67098K\u4e2aMATH\u793a\u4f8b\u7528\u4e8e\u9a8c\u8bc1\uff0c\u7ed3\u679c\u6a21\u578b\u5728AIME\u4e0a\u5b9e\u73b0\u4e8633.3%\u7684pass@1\u51c6\u786e\u7387\uff0c\u5728AMC\u4e0a\u4e3a62.5%\uff0c\u5728MATH\u4e0a\u4e3a77.2%\uff0c\u8d85\u8fc7\u4e86Qwen2.5-math-7B-instruct\uff0c\u5e76\u4e0e\u4f7f\u7528\u8d85\u8fc750\u500d\u6570\u636e\u548c\u66f4\u590d\u6742\u7ec4\u4ef6\u7684<a href=\"https:\/\/github.com\/PRIME-RL\/PRIME\">PRIME<\/a>\u548c<a href=\"https:\/\/arxiv.org\/abs\/2501.04519\">rStar-MATH<\/a>\u76f8\u5f53\u3002\u6211\u4eec\u8fd8\u5c1d\u8bd5\u5728RL\u9636\u6bb5\u4e4b\u524d\u4f7f\u7528\u76f8\u540c\u76848K\u4e2a\u793a\u4f8b\u8fdb\u884c\u957fCoT SFT\uff0c\u5e76\u83b7\u5f97\u4e86\u66f4\u597d\u7684\u6027\u80fd\u3002<\/p>\n<p>&nbsp;<\/p>\n<\/aside>\n<aside>\u6211\u4eec\u7684\u8bb8\u591a\u5b9e\u9a8c\u5728DeepSeek-R1\u53d1\u5e03\u4e4b\u524d\u5c31\u5df2\u7ecf\u5b8c\u6210\u4e86\u3002\u6709\u8da3\u7684\u662f\uff0c\u6211\u4eec\u72ec\u7acb\u5730\u6536\u655b\u4e0eDeepSeek-R1\u7c7b\u4f3c\u4e14\u76f4\u63a5\u7684RL\u65b9\u6cd5\uff0c\u53d1\u73b0\u5b83\u975e\u5e38\u6709\u6548\u3002\u4e3b\u8981\u533a\u522b\u5728\u4e8e\u6211\u4eec\u4f7f\u7528\u4e86PPO\u800c\u4e0d\u662fGRPO\u3002\u867d\u7136\u8fd9\u9879\u7814\u7a76\u4ecd\u5728\u8fdb\u884c\u4e2d\uff0c\u4f46\u6211\u4eec\u8ba4\u4e3a\u4e0e\u793e\u533a\u5206\u4eab\u6211\u4eec\u7684\u4e2d\u95f4\u53d1\u73b0\u662f\u6709\u4ef7\u503c\u7684\u3002\u6211\u4eec\u5e0c\u671b\u6211\u4eec\u7684\u5de5\u4f5c\u80fd\u591f\u4f5c\u4e3aDeepSeek-R1 Zero\u548cDeepSeek-R1\u7684\u7b80\u5355\u800c\u6709\u6548\u7684\u590d\u73b0\u7248\u672c\uff0c\u4e3a\u5c0f\u578b\u6a21\u578b\u548c\u6709\u9650\u6570\u636e\u96c6\u91cf\u8eab\u5b9a\u5236\u3002&nbsp;<\/p>\n<\/aside>\n<h2>\u5f15\u8a00<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19704\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9.jpg\" alt=\"-1\" width=\"1922\" height=\"1080\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9.jpg 1922w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9-300x169.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9-1024x575.jpg 1024w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9-768x432.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9-1536x863.jpg 1536w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8e5c9751bd27cc9-18x10.jpg 18w\" sizes=\"auto, (max-width: 1922px) 100vw, 1922px\" \/><\/p>\n<p>\u4eceQwen2.5-Math-7B\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u7684Qwen2.5-SimpleRL-Zero\u8bad\u7ec3\u7684\u52a8\u6001\u53d8\u5316\uff0c\u6ca1\u6709\u8fdb\u884cSFT\u6216\u4f7f\u7528\u5956\u52b1\u6a21\u578b\u3002\u5e73\u5747\u57fa\u51c6\u51c6\u786e\u7387\u548c\u957f\u5ea6\u57fa\u4e8e8\u4e2a\u590d\u6742\u7684\u6570\u5b66\u63a8\u7406\u57fa\u51c6\u3002\u6211\u4eec\u89c2\u5bdf\u5230\u5728\u521d\u59cb\u9636\u6bb5\u957f\u5ea6\u51cf\u5c11\uff0c\u56e0\u4e3a\u6211\u4eec\u53d1\u73b0Qwen2.5-Math-7B\u57fa\u7840\u6a21\u578b\u503e\u5411\u4e8e\u5728\u54cd\u5e94\u4e2d\u540c\u65f6\u751f\u6210\u8bed\u8a00\u548c\u4ee3\u7801\uff0c\u5bfc\u81f4\u8f93\u51fa\u5197\u957f\u3002\u8fd9\u79cd\u9ed8\u8ba4\u6a21\u5f0f\u5728RL\u8fc7\u7a0b\u4e2d\u5f88\u5feb\u88ab\u6291\u5236\uff0c\u6a21\u578b\u5b66\u4f1a\u4e86\u4ee5\u66f4\u5408\u9002\u7684\u683c\u5f0f\u8f93\u51fa\uff0c\u7136\u540e\u957f\u5ea6\u5f00\u59cb\u5b9a\u671f\u589e\u52a0\u3002\u5728\u4ec5\u7ecf\u8fc7\u51e0\u6b21\u8bad\u7ec3\u6b65\u9aa4\u540e\uff0c\u6211\u4eec\u4e5f\u7ecf\u5386\u4e86DeepSeek-R1\u8bba\u6587\u4e2d\u63cf\u8ff0\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\u2014\u2014\u6a21\u578b\u54cd\u5e94\u4e2d\u51fa\u73b0\u4e86\u81ea\u6211\u53cd\u601d\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u8bb8\u591a\u7814\u7a76\u4eba\u5458\u6b63\u5728\u63a2\u7d22\u901a\u5f80\u5b66\u4e60o\u578b\u6a21\u578b\u7684\u53ef\u80fd\u8def\u5f84\uff0c\u4f8b\u5982\u84b8\u998f\u3001MCTS\u3001\u57fa\u4e8e\u8fc7\u7a0b\u7684\u5956\u52b1\u6a21\u578b\u548c\u5f3a\u5316\u5b66\u4e60\u3002\u6700\u8fd1\uff0c<a href=\"https:\/\/www.kdjingpai.com\/deepseek-r1nenglixiang\/\">DeepSeek-R1<\/a>\u548c<a href=\"https:\/\/www.kdjingpai.com\/buxingyudeepseek-r1\/\">Kimi-k1.5<\/a>\u5728\u901a\u5f80\u8fd9\u4e00\u76ee\u6807\u7684\u9053\u8def\u4e0a\u5c55\u793a\u4e86\u4e00\u4e2a\u6781\u5176\u7b80\u5355\u7684\u914d\u65b9\uff0c\u4f7f\u7528\u7b80\u5355\u7684RL\u7b97\u6cd5\u6765\u5b66\u4e60\u51fa\u73b0\u7684\u957f\u65f6\u95f4\u94fe\u5f0f\u601d\u7ef4\uff08CoT\uff09\u548c\u81ea\u6211\u53cd\u601d\u6a21\u5f0f\uff0c\u5e76\u53d6\u5f97\u4e86\u5f3a\u5927\u7684\u7ed3\u679c\uff0c\u6ca1\u6709\u4f7f\u7528MCTS\u548c\u5956\u52b1\u6a21\u578b\u3002\u7136\u800c\uff0c\u4ed6\u4eec\u7684\u5b9e\u9a8c\u662f\u57fa\u4e8e\u5927\u89c4\u6a21RL\u8bbe\u7f6e\u4e2d\u7684\u5de8\u5927\u6a21\u578b\u3002\u76ee\u524d\u5c1a\u4e0d\u6e05\u695a\u5c0f\u578b\u6a21\u578b\u662f\u5426\u80fd\u591f\u8868\u73b0\u51fa\u7c7b\u4f3c\u7684\u884c\u4e3a\uff0c\u9700\u8981\u591a\u5c11\u6570\u636e\uff0c\u4ee5\u53ca\u4e0e\u5176\u4ed6\u65b9\u6cd5\u76f8\u6bd4\u5b9a\u91cf\u7ed3\u679c\u4f1a\u5982\u4f55\u3002\u8fd9\u7bc7\u535a\u5ba2\u590d\u5236\u4e86DeepSeek-R1-Zero\u548cDeepSeek-R1\u5bf9\u590d\u6742\u6570\u5b66\u63a8\u7406\u7684\u8bad\u7ec3\uff0c\u4eceQwen-2.5-Math-7B\uff08\u57fa\u7840\u6a21\u578b\uff09\u5f00\u59cb\uff0c\u4ec5\u4f7f\u7528\u6765\u81ea\u539f\u59cbMATH\u6570\u636e\u96c6\u76848K\uff08\u67e5\u8be2\uff0c\u6700\u7ec8\u7b54\u6848\uff09\u793a\u4f8b\u8fdb\u884c\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u5efa\u6a21\u7684RL\u3002\u6211\u4eec\u60ca\u8bb6\u5730\u53d1\u73b0\uff0c\u4ec5\u4f7f\u75288K\u4e2aMATH\u793a\u4f8b\u5c31\u80fd\u5c06\u8fd9\u4e2a7B\u57fa\u7840\u6a21\u578b\u63d0\u5347\u5230\u5982\u6b64\u7a0b\u5ea6\uff0c\u800c\u6ca1\u6709\u4efb\u4f55\u5176\u4ed6\u5916\u90e8\u4fe1\u53f7\uff1a<\/p>\n<p><em><strong>\u6240\u6709\u7ed3\u679c\u5747\u4e3apass@1\u51c6\u786e\u7387<\/strong><\/em><\/p>\n<table>\n<thead>\n<tr>\n<th><\/th>\n<th>AIME 2024<\/th>\n<th>MATH 500<\/th>\n<th>AMC<\/th>\n<th>Minerva Math<\/th>\n<th>OlympiadBench<\/th>\n<th>Avg.<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Qwen2.5-Math-7B-Base<\/td>\n<td>16.7<\/td>\n<td>52.4<\/td>\n<td>52.5<\/td>\n<td>12.9<\/td>\n<td>16.4<\/td>\n<td>30.2<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-Math-7B-Base + 8K MATH SFT<\/td>\n<td>3.3<\/td>\n<td>54.6<\/td>\n<td>22.5<\/td>\n<td>32.7<\/td>\n<td>19.6<\/td>\n<td>26.5<\/td>\n<\/tr>\n<tr>\n<td>Qwen-2.5-Math-7B-Instruct<\/td>\n<td>13.3<\/td>\n<td>79.8<\/td>\n<td>50.6<\/td>\n<td>34.6<\/td>\n<td>40.7<\/td>\n<td>43.8<\/td>\n<\/tr>\n<tr>\n<td>Llama-3.1-70B-Instruct<\/td>\n<td>16.7<\/td>\n<td>64.6<\/td>\n<td>30.1<\/td>\n<td>35.3<\/td>\n<td>31.9<\/td>\n<td>35.7<\/td>\n<\/tr>\n<tr>\n<td>rStar-Math-7B<\/td>\n<td>26.7<\/td>\n<td>78.4<\/td>\n<td>47.5<\/td>\n<td>&#8211;<\/td>\n<td>47.1<\/td>\n<td>&#8211;<\/td>\n<\/tr>\n<tr>\n<td>Eurus-2-7B-PRIME<\/td>\n<td>26.7<\/td>\n<td>79.2<\/td>\n<td>57.8<\/td>\n<td>38.6<\/td>\n<td>42.1<\/td>\n<td>48.9<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-7B-SimpleRL-Zero<\/td>\n<td>33.3<\/td>\n<td>77.2<\/td>\n<td>62.5<\/td>\n<td>33.5<\/td>\n<td>37.6<\/td>\n<td>48.8<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-7B-SimpleRL<\/td>\n<td>26.7<\/td>\n<td>82.4<\/td>\n<td>62.5<\/td>\n<td>39.7<\/td>\n<td>43.3<\/td>\n<td>50.9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Qwen2.5-7B-SimpleRL-Zero\u662f\u4ece\u57fa\u7840\u6a21\u578b\u76f4\u63a5\u8fdb\u884c\u7b80\u5355\u7684RL\u8bad\u7ec3\uff0c\u4ec5\u4f7f\u75288K\u4e2aMATH\u793a\u4f8b\u3002\u4e0e\u57fa\u7840\u6a21\u578b\u76f8\u6bd4\uff0c\u5b83\u5728\u5e73\u5747\u4e0a\u5b9e\u73b0\u4e86\u8fd120\u4e2a\u7edd\u5bf9\u70b9\u7684\u589e\u957f\u3002\u4e0e\u4f7f\u7528\u76f8\u540c8K\u6570\u636eSFT\u7684Qwen2.5-Math-7B-Base\u76f8\u6bd4\uff0cRL\u4eab\u6709\u66f4\u597d\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u7edd\u5bf9\u4e0a\u9ad8\u51fa22%\u3002\u6b64\u5916\uff0cQwen2.5-7B-SimpleRL-Zero\u5728\u5e73\u5747\u4e0a\u8d85\u8fc7\u4e86Qwen-2.5-Math-7B-Instruct\uff0c\u5e76\u4e14\u4e0e\u6700\u8fd1\u53d1\u5e03\u7684<a href=\"https:\/\/github.com\/PRIME-RL\/PRIME\">Eurus-2-7B-PRIME<\/a>\u548c<a href=\"https:\/\/arxiv.org\/abs\/2501.04519\">rStar-Math-7B<\/a>\uff08\u5b83\u4eec\u4e5f\u57fa\u4e8eQwen-2.5-Math-7B\uff09\u5927\u81f4\u76f8\u5f53\u3002\u8fd9\u4e9b\u57fa\u7ebf\u5305\u542b\u66f4\u590d\u6742\u7684\u7ec4\u4ef6\uff0c\u5982\u5956\u52b1\u6a21\u578b\uff0c\u5e76\u4e14\u4f7f\u7528\u4e86\u81f3\u5c1150\u500d\u7684\u9ad8\u7ea7\u6570\u636e\uff1a<\/p>\n<p><em><strong>\u4e0d\u540c\u65b9\u6cd5\u7684\u6bd4\u8f83\u6570\u636e<\/strong><\/em><\/p>\n<table>\n<thead>\n<tr>\n<th><\/th>\n<th>Qwen2.5-Math-7B-Instruct<\/th>\n<th>rStar-Math-7B<\/th>\n<th>Eurus-2-7B-PRIME<\/th>\n<th>Qwen2.5-7B-SimpleRL-Zero<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Base Model<\/td>\n<td>Qwen2.5-Math-7B<\/td>\n<td>Qwen2.5-Math-7B<\/td>\n<td>Qwen2.5-Math-7B<\/td>\n<td>Qwen2.5-Math-7B<\/td>\n<\/tr>\n<tr>\n<td>SFT Data<\/td>\n<td>2.5M (open-source and in-house)<\/td>\n<td>\uff5e7.3\u2009M (MATH, NuminaMath, etc.)<\/td>\n<td>230K<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>RM Data<\/td>\n<td>618K (in-house)<\/td>\n<td>\uff5e7\u2009k (in-house)<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>RM<\/td>\n<td>Qwen2.5-Math-RM (72B)<\/td>\n<td>None<\/td>\n<td>Eurus-2-7B-SFT<\/td>\n<td>None<\/td>\n<\/tr>\n<tr>\n<td>RL Data<\/td>\n<td>66K queries \u00d7 32 samples<\/td>\n<td>\uff5e3.647 M \u00d7 16<\/td>\n<td>150K queries \u00d7 4 samples<\/td>\n<td>8K queries \u00d7 8 samples<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6211\u4eec\u5bf9\u4e8e\u4ec5\u4f7f\u75288K\u4e2aMATH\u793a\u4f8b\u6240\u53d6\u5f97\u7684\u663e\u8457\u589e\u957f\u611f\u5230\u65e2\u5174\u594b\u53c8\u60ca\u8bb6\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c**\u5c3d\u7ba1MATH\u67e5\u8be2\u6bd4\u8bb8\u591a\u5177\u6709\u6311\u6218\u6027\u7684\u57fa\u51c6\u6d4b\u8bd5\u5982AIME\u548cAMC\u8981\u5bb9\u6613\u5f97\u591a\uff0c\u4f46\u8fd9\u79cd\u7b80\u5355\u7684RL\u914d\u65b9\u5c55\u793a\u4e86\u663e\u8457\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u4e0e\u57fa\u7840\u6a21\u578b\u76f8\u6bd4\uff0c\u6027\u80fd\u81f3\u5c11\u63d0\u9ad8\u4e8610\u4e2a\u7edd\u5bf9\u70b9\u3002**\u8fd9\u79cd\u4ece\u6613\u5230\u96be\u7684\u6cdb\u5316\u6548\u679c\u662f\u6211\u4eec\u65e0\u6cd5\u901a\u8fc7\u5728\u76f8\u540c\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u6807\u51c6SFT\u8bad\u7ec3\u6240\u80fd\u9884\u89c1\u7684\u3002\u6211\u4eec\u5b8c\u5168\u5f00\u6e90\u4e86\u6211\u4eec\u7684\u8bad\u7ec3\u4ee3\u7801\u548c\u7ec6\u8282\uff0c\u5e0c\u671b\u4f5c\u4e3a\u4e00\u4e2a\u5f3a\u5927\u7684\u57fa\u7ebf\u8bbe\u7f6e\uff0c\u4f9b\u793e\u533a\u8fdb\u4e00\u6b65\u63a2\u7d22RL\u5728\u63a8\u7406\u65b9\u9762\u7684\u6f5c\u529b\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u6df1\u5165\u4e86\u89e3\u6211\u4eec\u8bbe\u7f6e\u7684\u7ec6\u8282\uff0c\u4ee5\u53ca\u5728\u6b64RL\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u53d1\u751f\u7684\u4e8b\u60c5\uff0c\u4f8b\u5982\u957fCoT\u548c\u81ea\u6211\u53cd\u601d\u6a21\u5f0f\u7684\u6d8c\u73b0\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2>\u7b80\u5355\u7684RL\u914d\u65b9<\/h2>\n<p>\u4e0eDeepSeek R1\u7c7b\u4f3c\uff0c\u6211\u4eec\u7684RL\u914d\u65b9\u975e\u5e38\u7b80\u5355\uff0c\u6ca1\u6709\u4f7f\u7528\u5956\u52b1\u6a21\u578b\u6216\u7c7b\u4f3cMCTS\u7684\u6280\u672f\u3002\u6211\u4eec\u4f7f\u7528PPO\u7b97\u6cd5\uff0c\u5e76\u91c7\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u51fd\u6570\uff0c\u6839\u636e\u751f\u6210\u7684\u54cd\u5e94\u7684\u683c\u5f0f\u548c\u6b63\u786e\u6027\u5206\u914d\u5956\u52b1\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u54cd\u5e94\u4ee5\u6307\u5b9a\u7684\u683c\u5f0f\u63d0\u4f9b\u6700\u7ec8\u7b54\u6848\u5e76\u4e14\u6b63\u786e\uff0c\u5219\u83b7\u5f97+1\u7684\u5956\u52b1\u3002<\/li>\n<li>\u5982\u679c\u54cd\u5e94\u63d0\u4f9b\u4e86\u6700\u7ec8\u7b54\u6848\u4f46\u4e0d\u6b63\u786e\uff0c\u5219\u5956\u52b1\u8bbe\u7f6e\u4e3a-0.5\u3002<\/li>\n<li>\u5982\u679c\u54cd\u5e94\u672a\u80fd\u63d0\u4f9b\u6700\u7ec8\u7b54\u6848\uff0c\u5219\u5956\u52b1\u8bbe\u7f6e\u4e3a-1\u3002<\/li>\n<\/ul>\n<p>\u8be5\u5b9e\u73b0\u57fa\u4e8e<a href=\"https:\/\/github.com\/OpenRLHF\/OpenRLHF\">OpenRLHF<\/a>\u3002\u6211\u4eec\u7684\u521d\u6b65\u8bd5\u9a8c\u8868\u660e\uff0c\u8fd9\u4e2a\u5956\u52b1\u51fd\u6570\u6709\u52a9\u4e8e\u7b56\u7565\u6a21\u578b\u5feb\u901f\u6536\u655b\u5230\u751f\u6210\u6240\u9700\u683c\u5f0f\u7684\u54cd\u5e94\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2>\u5b9e\u9a8c\u8bbe\u7f6e<\/h2>\n<p>\u5728\u6211\u4eec\u7684\u5b9e\u9a8c\u4e2d\uff0c\u6211\u4eec\u4ece<a href=\"https:\/\/huggingface.co\/Qwen\/Qwen2.5-Math-7B\">Qwen2.5-Math-7B-Base<\/a>\u6a21\u578b\u5f00\u59cb\uff0c\u5e76\u5728\u5177\u6709\u6311\u6218\u6027\u7684\u6570\u5b66\u63a8\u7406\u57fa\u51c6\u4e0a\u8fdb\u884c\u8bc4\u4f30\uff0c\u5305\u62ecAIME2024\u3001AMC23\u3001GSM8K\u3001MATH-500\u3001Minerva Math\u548cOlympiadBench\u3002\u8bad\u7ec3\u4f7f\u7528\u4e86\u5927\u7ea68,000\u4e2a\u6765\u81eaMATH\u8bad\u7ec3\u6570\u636e\u96c6\u96be\u5ea6\u7ea7\u522b3-5\u7684\u67e5\u8be2\u3002\u6211\u4eec\u6309\u7167DeepSeek-R1-Zero\u548cDeepSeek-R1\u5206\u522b\u8fdb\u884c\u4e86\u4ee5\u4e0b\u4e24\u79cd\u8bbe\u7f6e\u7684\u5b9e\u9a8c\uff1a<\/p>\n<ul>\n<li><strong>SimpleRL-Zero<\/strong>\uff1a\u6211\u4eec\u76f4\u63a5\u4ece\u57fa\u7840\u6a21\u578b\u8fdb\u884cRL\uff0c\u4e0d\u5148\u8fdb\u884cSFT\u3002\u6211\u4eec\u53ea\u4f7f\u75288K\u4e2aMATH\uff08\u67e5\u8be2\uff0c\u7b54\u6848\uff09\u5bf9\u3002<\/li>\n<li><strong>SimpleRL<\/strong>\uff1a\u6211\u4eec\u9996\u5148\u8fdb\u884c\u957f\u94fe\u5f0f\u601d\u7ef4SFT\u4f5c\u4e3a\u51b7\u542f\u52a8\u3002SFT\u6570\u636e\u662f8K\u4e2aMATH\u67e5\u8be2\uff0c\u54cd\u5e94\u7531QwQ-32B-Preview\u84b8\u998f\u800c\u6765\u3002\u7136\u540e\u6211\u4eec\u4f7f\u7528\u76f8\u540c\u76848K\u4e2aMATH\u793a\u4f8b\u8fdb\u884c\u6211\u4eec\u7684RL\u914d\u65b9\u3002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2>\u7b2c\u4e00\u90e8\u5206\uff1aSimpleRL-Zero \u2014\u00a0<strong>\u4ece\u96f6\u5f00\u59cb\u5f3a\u5316\u5b66\u4e60<\/strong><\/h2>\n<p>\u6211\u4eec\u5728\u5f15\u8a00\u90e8\u5206\u5df2\u7ecf\u62a5\u544a\u4e86SimpleRL-Zero\u7684\u4e3b\u8981\u7ed3\u679c\uff0c\u5b83\u8d85\u8fc7\u4e86Qwen2.5-Math-7B-Instruct\uff0c\u5e76\u4e14\u4e0ePRIME\u548crStar-Math\u53d6\u5f97\u4e86\u76f8\u5f53\u7684\u7ed3\u679c\uff0c\u5373\u4f7f\u5b83\u53ea\u4f7f\u7528\u4e868K\u4e2aMATH\u793a\u4f8b\u3002\u4e0b\u9762\u6211\u4eec\u5206\u4eab\u8bad\u7ec3\u52a8\u6001\u548c\u4e00\u4e9b\u6709\u8da3\u7684\u6d8c\u73b0\u6a21\u5f0f\u3002<\/p>\n<h3>\u8bad\u7ec3\u52a8\u6001<\/h3>\n<p><em><strong>\u8bad\u7ec3\u5956\u52b1\u548c\u5c55\u5f00\u54cd\u5e94\u957f\u5ea6<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19705\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/466391726d6a4eb.jpg\" alt=\"-1\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/466391726d6a4eb.jpg 800w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/466391726d6a4eb-300x225.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/466391726d6a4eb-768x576.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/466391726d6a4eb-16x12.jpg 16w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><em><strong>\u8bc4\u4f30\u51c6\u786e\u7387\uff08pass@1\uff09\u548c8\u4e2a\u57fa\u51c6\u4e0a\u7684\u54cd\u5e94\u957f\u5ea6<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19706\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c2c91d8bec247b1.png\" alt=\"-1\" width=\"902\" height=\"722\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c2c91d8bec247b1.png 902w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c2c91d8bec247b1-300x240.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c2c91d8bec247b1-768x615.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c2c91d8bec247b1-15x12.png 15w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u6240\u6709\u57fa\u51c6\u4e0a\u7684\u51c6\u786e\u7387\u90fd\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7a33\u6b65\u63d0\u9ad8\uff0c\u800c\u957f\u5ea6\u5148\u51cf\u5c11\u7136\u540e\u9010\u6e10\u589e\u52a0\u3002\u7ecf\u8fc7\u8fdb\u4e00\u6b65\u8c03\u67e5\uff0c\u6211\u4eec\u53d1\u73b0Qwen2.5-Math-7B\u57fa\u7840\u6a21\u578b\u5728\u5f00\u59cb\u65f6\u503e\u5411\u4e8e\u751f\u6210\u5927\u91cf\u4ee3\u7801\uff0c\u8fd9\u53ef\u80fd\u662f\u7531\u4e8e\u6a21\u578b\u7684\u539f\u59cb\u8bad\u7ec3\u6570\u636e\u5206\u5e03\u3002\u6211\u4eec\u53d1\u73b0\u957f\u5ea6\u5148\u51cf\u5c11\u662f\u56e0\u4e3aRL\u8bad\u7ec3\u9010\u6e10\u6d88\u9664\u4e86\u8fd9\u79cd\u6a21\u5f0f\uff0c\u5b66\u4e60\u7528\u666e\u901a\u8bed\u8a00\u8fdb\u884c\u63a8\u7406\u3002\u7136\u540e\u5728\u6b64\u4e4b\u540e\uff0c\u751f\u6210\u957f\u5ea6\u53c8\u5f00\u59cb\u589e\u52a0\uff0c\u81ea\u6211\u53cd\u601d\u6a21\u5f0f\u5f00\u59cb\u51fa\u73b0\uff0c\u5982\u4e0b\u4f8b\u6240\u793a\u3002<\/p>\n<h3>\u81ea\u6211\u53cd\u601d\u7684\u51fa\u73b0<\/h3>\n<p>\u5728\u5927\u7ea6\u7b2c40\u6b65\u65f6\uff0c\u6211\u4eec\u53d1\u73b0\u6a21\u578b\u5f00\u59cb\u751f\u6210\u81ea\u6211\u53cd\u601d\u6a21\u5f0f\uff0c\u5373DeepSeek-R1\u8bba\u6587\u4e2d\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\u3002\u4e0b\u9762\u6211\u4eec\u5c55\u793a\u4e00\u4e2a\u4f8b\u5b50\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19707\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de.jpg\" alt=\"-1\" width=\"2048\" height=\"799\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de.jpg 2048w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de-300x117.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de-1024x400.jpg 1024w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de-768x300.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de-1536x599.jpg 1536w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/0b3e4e9d3ee58de-18x7.jpg 18w\" sizes=\"auto, (max-width: 2048px) 100vw, 2048px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2>\u7b2c\u4e8c\u90e8\u5206\uff1aSimpleRL \u2014\u00a0<strong>\u5e26\u6709\u6a21\u4eff\u70ed\u8eab\u8bad\u7ec3\u7684\u5f3a\u5316\u5b66\u4e60<\/strong><\/h2>\n<p>\u5982\u524d\u6240\u8ff0\uff0c\u6211\u4eec\u5728\u8fdb\u884cRL\u4e4b\u524d\u5148\u8fdb\u884c\u957f\u65f6\u95f4\u94fe\u5f0f\u601d\u7ef4SFT\u70ed\u8eab\uff0cSFT\u6570\u636e\u96c6\u662f8K\u4e2aMATH\u793a\u4f8b\uff0c\u54cd\u5e94\u7531QwQ-32B-Preview\u84b8\u998f\u800c\u6765\u3002\u8fd9\u79cd\u51b7\u542f\u52a8\u7684\u6f5c\u5728\u597d\u5904\u662f\u6a21\u578b\u4ece\u957f\u94fe\u5f0f\u601d\u7ef4\u6a21\u5f0f\u5f00\u59cb\uff0c\u5e76\u4e14\u5df2\u7ecf\u5177\u6709\u81ea\u6211\u53cd\u601d\u80fd\u529b\uff0c\u7136\u540e\u5728RL\u9636\u6bb5\u5b83\u53ef\u80fd\u4f1a\u5b66\u4e60\u5f97\u66f4\u5feb\u66f4\u597d\u3002<\/p>\n<h4>\u4e3b\u8981\u7ed3\u679c<\/h4>\n<table>\n<thead>\n<tr>\n<th><\/th>\n<th>AIME 2024<\/th>\n<th>MATH 500<\/th>\n<th>AMC<\/th>\n<th>Minerva Math<\/th>\n<th>OlympiadBench<\/th>\n<th>Avg.<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Qwen2.5-Math-7B-Base<\/td>\n<td>16.7<\/td>\n<td>52.4<\/td>\n<td>52.5<\/td>\n<td>12.9<\/td>\n<td>16.4<\/td>\n<td>30.2<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-Math-7B-Base + 8K QwQ <a href=\"https:\/\/www.kdjingpai.com\/en\/distillation\/\">distillation<\/a><\/td>\n<td>16.7<\/td>\n<td>76.6<\/td>\n<td>55.0<\/td>\n<td>34.9<\/td>\n<td>36.9<\/td>\n<td>44.0<\/td>\n<\/tr>\n<tr>\n<td>Eurus-2-7B-PRIME<\/td>\n<td>26.7<\/td>\n<td>79.2<\/td>\n<td>57.8<\/td>\n<td>38.6<\/td>\n<td>42.1<\/td>\n<td>48.9<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-7B-SimpleRL-Zero<\/td>\n<td>36.7<\/td>\n<td>77.4<\/td>\n<td>62.5<\/td>\n<td>34.2<\/td>\n<td>37.5<\/td>\n<td>49.7<\/td>\n<\/tr>\n<tr>\n<td>Qwen2.5-7B-SimpleRL<\/td>\n<td>26.7<\/td>\n<td>82.4<\/td>\n<td>62.5<\/td>\n<td>39.7<\/td>\n<td>43.3<\/td>\n<td>50.9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e0eQwen2.5-Math-7B-Base + 8K QwQ distillation\u76f8\u6bd4\uff0c\u6a21\u578b\u5728RL\u8bad\u7ec3\u4e4b\u524d\uff0cQwen2.5-7B-SimpleRL\u5e73\u5747\u63d0\u9ad8\u4e866.9%\u7684\u7edd\u5bf9\u503c\u3002\u6b64\u5916\uff0cQwen2.5-7B-SimpleRL\u57285\u4e2a\u57fa\u51c6\u4e2d\u67093\u4e2a\u8d85\u8fc7\u4e86Eurus-2-7B-PRIME\uff0c\u5e76\u4e14\u8d85\u8fc7\u4e86Qwen2.5-7B-SimpleRL-Zero\u3002\u5373\u4f7f\u7ed3\u679c\u5f88\u597d\uff0c\u6211\u4eec\u6709\u70b9\u60ca\u8bb6\u7684\u662f\uff0cQwQ\u84b8\u998f\u9636\u6bb5\u5e76\u6ca1\u6709\u6bd4\u96f6\u8bbe\u7f6e\u4ea7\u751f\u66f4\u5927\u7684\u6536\u76ca\uff0c\u9274\u4e8eQwQ\u662f\u4e00\u4e2a32B\u5f3a\u5927\u7684\u957f\u94fe\u5f0f\u601d\u7ef4\u6559\u5e08\u6a21\u578b\u3002<\/p>\n<h3>\u8bad\u7ec3\u52a8\u6001<\/h3>\n<p><em><strong>\u8bad\u7ec3\u5956\u52b1\u548c\u5c55\u5f00\u54cd\u5e94\u957f\u5ea6<\/strong><\/em><\/p>\n<div id=\"attachment_19708\" style=\"width: 810px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19708\" class=\"wp-image-19708 size-full\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/6a54b8db1d29c5f.jpg\" alt=\"-1\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/6a54b8db1d29c5f.jpg 800w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/6a54b8db1d29c5f-300x225.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/6a54b8db1d29c5f-768x576.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/6a54b8db1d29c5f-16x12.jpg 16w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-19708\" class=\"wp-caption-text\">\u8bad\u7ec3\u72b6\u6001<\/p><\/div>\n<p>&nbsp;<\/p>\n<p><em><strong>\u8bc4\u4f30\u51c6\u786e\u7387\uff08pass@1\uff09\u548c8\u4e2a\u57fa\u51c6\u4e0a\u7684\u54cd\u5e94\u957f\u5ea6<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19709\" title=\"-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156.png\" alt=\"-1\" width=\"1078\" height=\"572\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156.png 1078w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156-300x159.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156-1024x543.png 1024w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156-768x408.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/4fa1ef00e88e156-18x10.png 18w\" sizes=\"auto, (max-width: 1078px) 100vw, 1078px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Qwen2.5-SimpleRL\u7684\u8bad\u7ec3\u52a8\u6001\u770b\u8d77\u6765\u4e0eQwen2.5-SimpleRL-Zero\u76f8\u4f3c\u3002\u6709\u8da3\u7684\u662f\uff0c\u5c3d\u7ba1\u6211\u4eec\u5148\u8fdb\u884c\u957f\u65f6\u95f4\u94fe\u5f0f\u601d\u7ef4SFT\uff0c\u6211\u4eec\u4ecd\u7136\u5728RL\u5f00\u59cb\u65f6\u89c2\u5bdf\u5230\u957f\u5ea6\u51cf\u5c11\u7684\u73b0\u8c61\u3002\u6211\u4eec\u6000\u7591\u8fd9\u662f\u56e0\u4e3a\u84b8\u998f\u7684QwQ\u63a8\u7406\u6a21\u5f0f\u4e0d\u88ab\u5c0f\u578b\u7b56\u7565\u6a21\u578b\u6240\u504f\u597d\uff0c\u6216\u8005\u8d85\u51fa\u4e86\u5c0f\u578b\u6a21\u578b\u7684\u5bb9\u91cf\u3002\u56e0\u6b64\uff0c\u5b83\u5b66\u4f1a\u4e86\u653e\u5f03\u5b83\uff0c\u5e76\u81ea\u884c\u53d1\u5c55\u51fa\u65b0\u7684\u957f\u63a8\u7406\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2>\u7ed3\u675f\u8bed<\/h2>\n<p>\u7b80\u5355\u662f\u7ec8\u6781\u7684\u590d\u6742\u3002<br \/>\n<em>\u2014 \u8fbe\u82ac\u5947<\/em><\/p>\n<p>&nbsp;<\/p>\n<h2>\u81f4\u8c22\u548c\u5f15\u7528<\/h2>\n<p>\u6211\u4eec\u5b9e\u73b0\u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u662f\u57fa\u4e8e<a href=\"https:\/\/github.com\/OpenRLHF\/OpenRLHF\">OpenRLHF<\/a>\u6269\u5c55\u800c\u6765\u7684\u3002\u6211\u4eec\u5229\u7528<a href=\"https:\/\/github.com\/vllm-project\/vllm\">vLLM<\/a>\u8fdb\u884c\u63a8\u7406\uff0c\u5e76\u5f00\u53d1\u4e86\u57fa\u4e8e<a href=\"https:\/\/github.com\/QwenLM\/Qwen2.5-Math\/tree\/main\/evaluation\">Qwen2.5-Math<\/a>\u7684\u8bc4\u4f30\u811a\u672c\u3002\u7279\u522b\u5730\uff0c\u6211\u4eec\u611f\u8c22DeepSeek-R1\u548cKimi-k1.5\u7684\u5f00\u53d1\u8005\u5bf9\u5f00\u6e90\u793e\u533a\u7684\u521b\u65b0\u548c\u8d21\u732e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Github:\u00a0https:\/\/github.com\/hkust-nlp\/simpleRL-reason &nbsp; \u8fd9\u7bc7\u535a\u5ba2\u5c06\u5c55\u793a\u4e00\u4e2a\u5bf9DeepSeek-R1-Zero \u548c DeepSeek-R1\u8bad\u7ec3\u7684\u590d\u73b0\uff0c\u4f7f\u7528\u5c0f\u578b\u6a21\u578b\u548c\u6709\u9650\u6570\u636e\u8fdb\u884c\u8bad&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46],"tags":[],"class_list":["post-19703","post","type-post","status-publish","format-standard","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/posts\/19703","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/comments?post=19703"}],"version-history":[{"count":0,"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/posts\/19703\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/media?parent=19703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/categories?post=19703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/en\/wp-json\/wp\/v2\/tags?post=19703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}