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\u8fd9\u91cc\u540c\u6837\u6709\u4efd\u57fa\u7840\u80fd\u529b\u7684\u6210\u7ee9\u5355\u3002<\/p>\n

\u56fe\u89e3\u7406\u89e3\u57fa\u51c6AI2D\u8fbe\u523091.48\u5206\uff0c\u4ec5\u6b21\u4e8eGemini 3 Pro\uff0c\u9ad8\u4e8e\u5176\u5b83\u6240\u6709\u5bf9\u7167\u6a21\u578b\u3002<\/p>\n

WeMath\u4e3a75.9\u5206\uff0c\u540c\u6837\u9886\u5148\uff1bMathVista Mini\u4e3a84.5\u5206\u3001OCRBench\u4e3a85.5\u5206\uff0c\u8868\u73b0\u9887\u5177\u7ade\u4e89\u529b\u3002<\/p>\n

\u9664\u6b64\u4e4b\u5916\uff0cZDTaichu5.0-9B\u5728Agent\u4e0e\u6587\u672c\u4efb\u52a1\u4e0a\u4e5f\u4f9d\u65e7\u8868\u73b0\u7a81\u51fa\uff0c\u5c24\u5176\u662f\u4ee3\u7801\u6210\u7ee9\u3002<\/p>\n

\u8fd9\u4e9b\u80fd\u529b\u5177\u4f53\u600e\u4e48\u7ec4\u5408\u8d77\u6765\u7528\uff0c\u79d1\u7814Agent\u7684\u963b\u5c3c\u632f\u5b50\u6c42\u89e3demo\u7ed9\u51fa\u4e86\u76f4\u89c2\u5c55\u793a\u3002<\/p>\n

\u8be5\u95ee\u9898\u8981\u6c42Agent\u7ec4\u7ec7\u89e3\u6790\u6c42\u89e3\u4e0ePython\/SciPy\u6570\u503c\u8ba1\u7b97\uff0c\u5e76\u5bf9\u7167\u4e24\u79cd\u7ed3\u679c\uff0c\u6700\u540e\u751f\u6210\u76f8\u7a7a\u95f4\u56fe\u3001\u4f4d\u79fb\u4e0e\u901f\u5ea6\u66f2\u7ebf\uff0c\u4ee5\u53ca\u5206\u6790\u62a5\u544a\u3002<\/p>\n

ZDTaichu5.0-9B\u5728\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u4e5f\u4e1d\u6beb\u6ca1\u6709\u6389\u94fe\u5b50\uff0c\u5728\u95ee\u9898\u7406\u89e3\u3001\u4ee3\u7801\u6267\u884c\u3001\u7ed3\u679c\u6838\u5bf9\u548c\u56fe\u8868\u8f93\u51fa\u56db\u4e2a\u9636\u6bb5\u5b50\u4efb\u52a1\u4e0a\u90fd\u5b8c\u7f8e\u5b9e\u73b0\u8fde\u7eed\u8854\u63a5\uff0c\u6700\u540e\u8f93\u51fa\u975e\u5e38\u5b8c\u6574\u3002<\/p>\n

\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u5bf9\u4e8e\u540c\u4e00\u4e2a9B\u6a21\u578b\u662f\u76f8\u5f53\u4e0d\u5bb9\u6613\u7684\u3002<\/p>\n

\u8981\u540c\u65f6\u517c\u987e\u7a7a\u95f4\u5177\u8eab\u80fd\u529b\u4e0e\u901a\u7528\u80fd\u529b\u4e24\u6761\u7ebf\uff0c\u80cc\u540e\u8981\u89e3\u51b3\u7684\u6709\u5f88\u591a\uff0c\u4f8b\u5982\u6570\u636e\u5982\u4f55\u7ec4\u7ec7\uff0c\u4ee5\u53ca\u590d\u6742\u5224\u65ad\u65f6\u7b97\u529b\u600e\u4e48\u5206\u914d\u3002<\/p>\n

ZDTaichu5.0-9B\u7ed9\u51fa\u7684\u89e3\u6cd5\u8d2f\u7a7f\u8bad\u7ec3\u548c\u63a8\u7406\u4e24\u90e8\u5206\u3002<\/p>\n

\u7d2b\u4e1c\u592a\u521d\u5148\u662f\u56f4\u7ed5\u8fd9\u4e00\u9700\u6c42\uff0c\u7ec4\u7ec7\u4e86\u4e00\u5957\u7ecf\u8fc7\u5168\u6d41\u7a0b\u9a8c\u8bc1\u3001\u53ef\u590d\u7528\u3001\u53ef\u8fc1\u79fb\u7684\u6570\u636e\u5de5\u7a0b\u94fe\u8def\u3002<\/p>\n

\u6574\u4f53\u5305\u62ec\u4e09\u4e2a\u6e10\u8fdb\u5f0f\u6210\u957f\u9636\u6bb5\uff1a<\/p>\n

Step 1\uff1a\u9884\u8bad\u7ec3\u6570\u636e\u7ba1\u7ebf\u3002<\/p>\n

\u8fd9\u4e00\u6b65\u6570\u636e\u8986\u76d6\u5f00\u6e90\u56fe\u6587\u3001\u7f51\u9875\u7ed3\u6784\u5316\u6587\u6863\u3001\u516c\u5f00\u89c6\u9891\u591a\u89c6\u89d2\u7d20\u6750\u548c\u4eff\u771f\u6e32\u67d3\u4e09\u7ef4\u573a\u666f\u3002<\/p>\n

\u539f\u59cb\u7d20\u6750\u8fdb\u5165\u7ba1\u7ebf\u540e\uff0c\u5148\u901a\u8fc7\u611f\u77e5\u54c8\u5e0c\u4e0eURL\u53bb\u91cd\uff0c\u518d\u8fc7\u6ee4\u4f4e\u6e05\u6670\u5ea6\u3001\u56fe\u6587\u4e0d\u76f8\u5173\u7b49\u8f83\u5dee\u7684\u6837\u672c\uff0c\u968f\u540e\u8fdb\u884c\u5185\u5bb9\u91cd\u5199\u89e3\u6790\u548c\u89c6\u9891\u62bd\u5e27\u63cf\u8ff0\uff0c\u6700\u7ec8\u6253\u5305\u7ec4\u7ec7\u6210\u53ef\u8bad\u7ec3\u7684\u56fe\u6587\u4e0e\u65f6\u5e8f\u8f93\u5165\u3002<\/p>\n

\u6700\u7ec8\u5efa\u7acb\u7684\u662f\u89c6\u89c9\u3001\u8bed\u8a00\u3001\u65f6\u5e8f\u548c\u7a7a\u95f4\u6982\u5ff5\u4e4b\u95f4\u7684\u5bf9\u9f50\u8054\u7cfb\u3002<\/p>\n

Step 2\uff1a\u76d1\u7763\u5fae\u8c03\u6570\u636e\u7ba1\u7ebf\u3002<\/p>\n

\u968f\u540e\u8bad\u7ec3\u5f00\u59cb\u8986\u76d6\u5b8c\u6574\u4efb\u52a1\u3002<\/p>\n

\u5f00\u6e90SFT\u6307\u4ee4\u3001\u771f\u5b9e\u4e1a\u52a1\u95ee\u7b54\u3001\u7a7a\u95f4\u5177\u8eab\u6848\u4f8b\uff0c\u4ee5\u53caAgent\u5de5\u5177\u8c03\u7528\u8f68\u8ff9\uff0c\u90fd\u88ab\u7ec4\u7ec7\u6210\u591a\u8f6e\u5bf9\u8bdd\u3001\u591a\u56fe\u548c\u89c6\u9891\u5e8f\u5217\u3002<\/p>\n

\u5176\u4e2d\u9488\u5bf9\u5177\u8eab\u6837\u672c\uff0c\u7ba1\u7ebf\u8fd8\u4f1a\u68c0\u67e5\u56fe\u50cf\u3001\u95ee\u9898\u3001\u5bf9\u8c61\u5173\u7cfb\u548c\u64cd\u4f5c\u7ea6\u675f\u662f\u5426\u4e00\u81f4\u3002\u8fd8\u662f\u4ee5\u5f00\u5934\u7684\u7f8e\u5de5\u5200\u6536\u7eb3\u4e3e\u4f8b\uff0c\u5982\u679c\u56fe\u4e2d\u62bd\u5c49\u5173\u7740\uff0c\u6a21\u578b\u5c31\u4e0d\u80fd\u76f4\u63a5\u8981\u6c42\u5939\u722a\u5f80\u91cc\u653e\u4e1c\u897f\u3002<\/p>\n

\u5e26\u6b65\u9aa4\u7684\u601d\u7ef4\u94fe\u4e5f\u8981\u7ecf\u8fc7\u62d2\u7edd\u91c7\u6837\u3001\u683c\u5f0f\u548c\u4e00\u81f4\u6027\u6821\u9a8c\u3002\u8fd9\u6837\u8fdb\u5165\u8bad\u7ec3\u7684\uff0c\u624d\u662f\u6709\u89c6\u89c9\u4f9d\u636e\u3001\u80fd\u89e3\u91ca\u64cd\u4f5c\u987a\u5e8f\u7684\u4efb\u52a1\u6837\u672c\u3002<\/p>\n

Step 3\uff1a\u9ad8\u8d28\u91cf\u9000\u706b+GRPO\u5f3a\u5316\u5b66\u4e60\u6570\u636e\u7ba1\u7ebf\u3002<\/p>\n

\u6700\u540e\u4e00\u6b65\u7ee7\u7eed\u9488\u5bf9\u77ed\u677f\u4f18\u5316\u3002<\/p>\n

\u56e2\u961f\u4e3a\u6570\u636e\u5efa\u7acb\u80fd\u529b\u57df-\u96be\u5ea6-\u8d28\u91cf\u6807\u7b7e\u4e09\u7ef4\u81ea\u52a8\u6807\u7b7e\u7cfb\u7edf\uff0c\u4e3a\u6a21\u578b\u7b5b\u9009\u9ad8\u4fe1\u606f\u91cf\u6837\u672c\u3002<\/p>\n

\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8bc4\u6d4b\u6570\u636e\u4e0d\u4f1a\u76f4\u63a5\u4f5c\u4e3a\u8bad\u7ec3\u6837\u672c\uff0c\u6807\u7b7e\u4e5f\u53ea\u662f\u7528\u4e8e\u63d0\u4f9b\u80fd\u529b\u5206\u7c7b\u4e0e\u6837\u672c\u7b5b\u9009\u7684\u53c2\u7167\u3002<\/p>\n

GRPO\u5219\u628a\u7b54\u6848\u662f\u5426\u6b63\u786e\u3001\u7a7a\u95f4\u5750\u6807\u662f\u5426\u547d\u4e2d\u3001\u8f93\u51fa\u683c\u5f0f\u662f\u5426\u5408\u89c4\uff0c\u90fd\u901a\u901a\u8f6c\u5316\u6210\u53ef\u81ea\u52a8\u6821\u9a8c\u7684\u5956\u52b1\u4fe1\u53f7\uff0c\u8ba9\u6a21\u578b\u6cbf\u7740\u5177\u4f53\u53cd\u9988\u7ee7\u7eed\u6539\u8fdb\u3002<\/p>\n

\u4e8e\u662f\u5728\u5c42\u5c42\u9012\u8fdb\u4e4b\u540e\uff0c\u7269\u4f53\u8bc6\u522b\u3001\u7a7a\u95f4\u5173\u7cfb\u548c\u4efb\u52a1\u7ea6\u675f\u90fd\u5f00\u59cb\u9010\u6b65\u8fde\u63a5\u8d77\u6765\u3002<\/p>\n

\u672a\u6765\u5373\u4f7f\u662f\u4f01\u4e1a\u81ea\u5df1\u7684\u8f66\u95f4\u5f55\u50cf\u3001\u5b9e\u9a8c\u64cd\u4f5c\u8bb0\u5f55\u548c\u4eff\u771f\u7d20\u6750\uff0c\u4e5f\u90fd\u53ef\u4ee5\u901a\u8fc7\u8fd9\u6761\u8def\u5f84\u8f6c\u5316\u6210\u8bad\u7ec3\u6837\u672c\u3002<\/p>\n

\u4f46\u8bad\u7ec3\u6570\u636e\u53ea\u662f\u6253\u597d\u4e86\u5730\u57fa\uff0c\u518d\u5f80\u4e0a\uff0c\u6bcf\u6b21\u63a8\u7406\u7684\u96be\u5ea6\u4e5f\u4f1a\u968f\u7740\u4efb\u52a1\u53d8\u5316\u3002<\/p>\n

\u6bd4\u5982\u6709\u4e9b\u753b\u9762\u4e2d\u76ee\u6807\u6e05\u695a\u3001\u5173\u7cfb\u7b80\u5355\uff1b\u6709\u4e9b\u4efb\u52a1\u5219\u8981\u6574\u5408\u591a\u4e2a\u89c6\u89d2\uff0c\u8fd8\u8981\u5224\u65ad\u906e\u6321\u548c\u64cd\u4f5c\u524d\u63d0\u3002<\/p>\n

\u663e\u7136\uff0c\u540e\u8005\u66f4\u9700\u8981\u989d\u5916\u8ba1\u7b97\u6765\u4fee\u6b63\u5224\u65ad\u3002<\/p>\n

ZDTaichu5.0-9B\u4e3a\u6b64\u5f15\u5165\u4e86\u5185\u7f6e\u81ea\u9002\u5e94\u5faa\u73af\u63a8\u7406\uff0c\u8ba9\u6a21\u578b\u6839\u636e\u9884\u6d4b\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u51b3\u5b9a\u5f53\u524dToken\u662f\u5426\u9700\u8981\u518d\u7b97\u51e0\u8f6e\u3002<\/p>\n

\u5177\u4f53\u6765\u8bf4\uff0c\u6a21\u578b\u5148\u5b8c\u6210\u4e00\u6b21\u6807\u51c6\u524d\u5411\u8ba1\u7b97\uff0c\u5f97\u5230Token\u9884\u6d4b\u5206\u5e03\u548c\u9690\u5c42\u72b6\u6001\u3002\u71b5\u95e8\u63a7\u968f\u540e\u8bc4\u4f30\u9884\u6d4b\u7684\u4e0d\u786e\u5b9a\u7a0b\u5ea6\uff0c\u5206\u5e03\u8d8a\u5206\u6563\uff0c\u610f\u5473\u7740\u6a21\u578b\u5bf9\u8f93\u51fa\u7684\u628a\u63e1\u8d8a\u5c0f\u3002<\/p>\n

\u786e\u5b9a\u6027\u8f83\u9ad8\u65f6\uff0c\u6a21\u578b\u76f4\u63a5\u8f93\u51fa\uff1b\u9047\u5230\u9ad8\u4e0d\u786e\u5b9a\u6027\u8282\u70b9\uff0c\u5c31\u5728\u5185\u90e8\u91cd\u590d\u6267\u884c\u90e8\u5206\u5c42\u5757\u8ba1\u7b97\uff0c\u8fed\u4ee3\u8c03\u6574\u9690\u5c42\u8868\u5f81\uff0c\u4e3a\u5f53\u524d\u5224\u65ad\u589e\u52a0\u8ba1\u7b97\u6df1\u5ea6\u3002<\/p>\n

\u7531\u4e8e\u8fd9\u6bb5\u989d\u5916\u8ba1\u7b97\u53d1\u751f\u5728\u6a21\u578b\u524d\u5411\u4f20\u64ad\u5185\u90e8\uff0c\u4e5f\u65e0\u9700\u4e3a\u6b64\u8c03\u7528\u5916\u90e8\u5de5\u5177\u3002<\/p>\n

\u5f53\u7136\uff0c\u5230\u5e95\u7b97\u51e0\u8f6e\u4e5f\u8981\u6709\u7ea6\u675f\uff0c\u603b\u4e0d\u80fd\u65e0\u9650\u5236\u53d1\u6563\u4e0b\u53bb\u3002<\/p>\n

ZDTaichu5.0-9B\u914d\u5957\u4e86\u4e09\u91cd\u7a33\u5b9a\u5316\u5de5\u7a0b\u8bbe\u8ba1\uff0c\u4ee5\u81f4\u4e8e\u6a21\u578b\u80fd\u591f\u8ba9\u7b97\u529b\u5408\u7406\u503e\u659c\uff1a<\/p>\n

1\u3001\u963b\u5c3c\u66f4\u65b0\uff1a\u63a7\u5236\u6bcf\u8f6e\u4fee\u6b63\u5e45\u5ea6\uff0c\u907f\u514d\u7279\u5f81\u6f02\u79fb\uff1b2\u3001\u53cc\u91cd\u505c\u6b62\u5224\u636e\uff1a\u540c\u65f6\u76d1\u6d4b\u8f93\u51fa\u5206\u5e03\u7684KL\u6563\u5ea6\u548c\u9690\u72b6\u6001\u6b8b\u5dee\uff0c\u5224\u65ad\u7ed3\u679c\u662f\u5426\u8d8b\u4e8e\u7a33\u5b9a\uff1b3\u3001\u8f68\u8ff9\u8bfb\u51fa\u4e0e\u72b6\u6001\u56de\u6eda\uff1a\u4fdd\u7559\u8fed\u4ee3\u4e2d\u95f4\u8f68\u8ff9\uff0c\u5e76\u4ece\u4e2d\u9009\u62e9\u98ce\u9669\u6700\u4f4e\u7684\u8868\u5f81\u7ed3\u679c\u3002<\/p>\n

\u6709\u8da3\u7684\u662f\uff0c\u8fd9\u5957\u6309\u4efb\u52a1\u9700\u8981\u8c03\u8282\u63a8\u7406\u6295\u5165\u7684\u601d\u8def\uff0c\u5728\u6700\u8fd1\u5927\u706b\u7684GPT-6 Astra\u4e0a\u4e5f\u6709\u6240\u4f53\u73b0\u3002<\/p>\n

OpenAI\u5b98\u65b9\u6587\u6863\u663e\u793a\uff0cAstra\u65b0\u589e\u652f\u6301\u8c03\u8282\u63a8\u7406\u6295\u5165\uff0c\u5e76\u5141\u8bb8\u5728\u5bf9\u8bdd\u8fc7\u7a0b\u4e2d\u4e3a\u56f0\u96be\u4efb\u52a1\u63d0\u9ad8\u63a8\u7406\u6295\u5165\uff0c\u53cd\u4e4b\u964d\u4f4e\u5e38\u89c4\u4efb\u52a1\u6295\u5165\u3002<\/p>\n

\u76f8\u4f3c\u7684\u8def\u7ebf\u67b6\u6784\uff0c\u8bf4\u660e\u6309\u9700\u5206\u914d\u63a8\u7406\u8ba1\u7b97\u5df2\u7ecf\u662f\u56fd\u5185\u5916\u65b0\u7684\u5171\u8bc6\u3002<\/p>\n

ZDTaichu5.0-9B\u5c55\u73b0\u51fa\u9ad8\u5ea6\u5bf9\u9f50\u7684\u6280\u672f\u524d\u77bb\u6027\uff0c\u4e5f\u662f\u5728\u5f00\u6e90\u6a21\u578b\u4e2d\u7387\u5148\u843d\u5730\u8fd9\u4e00\u673a\u5236\u3002<\/p>\n

\u25b3\u56fe\u7247\u622a\u53d6\u81eaOpenAI\u5b98\u65b9\u6587\u6863<\/p>\n

\u4e0d\u8fc7\uff0c\u5149\u5224\u65ad\u597d\u5f53\u524d\u4e00\u6b65\u8fd8\u4e0d\u591f\uff0c\u6a21\u578b\u8fd8\u8981\u63a5\u7740\u770b\u884c\u52a8\u4e4b\u540e\u53d1\u751f\u4e86\u4ec0\u4e48\u3002<\/p>\n

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