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\"\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u90fd\u770b\u61f5\u4e86\uff1aOpenAI\u975e\u6570\u5b66\u6a21\u578b\u9996\u6b21\u81ea\u4e3b\u7a81\u783480\u5e74\u672a\u89e3\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n
\"\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u90fd\u770b\u61f5\u4e86\uff1aOpenAI\u975e\u6570\u5b66\u6a21\u578b\u9996\u6b21\u81ea\u4e3b\u7a81\u783480\u5e74\u672a\u89e3\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n
\"\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u90fd\u770b\u61f5\u4e86\uff1aOpenAI\u975e\u6570\u5b66\u6a21\u578b\u9996\u6b21\u81ea\u4e3b\u7a81\u783480\u5e74\u672a\u89e3\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n

\u95fb\u4e50 \u53d1\u81ea \u51f9\u975e\u5bfa<\/p>\n

OpenAI\u53c8\u53cc\u53d2\u641e\u6570\u5b66\u4e86\u3002<\/p>\n

\u5185\u90e8\u6a21\u578b\u641e\u5b9a\u4e86\u4e00\u9053\u57c3\u5c14\u5fb7\u4ec0\u65e9\u5e74\u63d0\u51fa\u7684\u5355\u4f4d\u8ddd\u79bb\u7ecf\u5178\u96be\u9898\uff0c\u5df2\u7ecf80\u5e74\u65e0\u5b9e\u8d28\u8fdb\u5c55\u3002<\/p>\n

\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u7684\u8fd8\u4e0d\u662f\u6570\u5b66\u4e13\u5bb6\u6a21\u578b\uff0c\u800c\u662f\u4e00\u4e2a\u901a\u7528\u6a21\u578b\u3002<\/p>\n

\u8be5\u5185\u90e8\u6a21\u578b\u5728\u57c3\u5c14\u5fb7\u4ec0\u7ecf\u5178\u95ee\u9898\u4e0a\u6478\u51fa\u4e86\u5168\u65b0\u89e3\u9898\u601d\u8def\uff0c\u8fde\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u9ad8\u5c14\u65af\uff08Timothy Gowers\uff09\u90fd\u76f4\u8a00\uff0c\u8fd9\u7b97\u662f\u5b9e\u6253\u5b9e\u5934\u4e00\u56de\uff0cAI\u81ea\u4e3b\u5543\u4e0b\u8fd9\u79cd\u672a\u89e3\u6570\u5b66\u96be\u9898\uff1a<\/p>\n

\u8fd9\u662fAI\u89e3\u51b3\u7684\u7b2c\u4e00\u4e2a\u6781\u5176\u8457\u540d\u7684\u3001\u672a\u89e3\u7684\u6570\u5b66\u95ee\u9898\u7684\u6e05\u6670\u6848\u4f8b\uff0c\u4e5f\u662f\u7b2c\u4e00\u4e2a\u7531AI\uff08\u81ea\u4e3b\uff09\u5b9e\u73b0\u7684\u6570\u5b66\u7a81\u7834\u3002<\/p>\n

\u8d1f\u8d23\u8fd9\u6b3e\u901a\u7528\u63a8\u7406\u6a21\u578b\u7684Noam Brown\u4e5f\u653e\u8bdd\uff0c\u8981\u5c3d\u5feb\u53d1\u5e03\uff01\uff01<\/p>\n

\u5148\u8bf4\u8fd9\u4e2a\u6570\u5b66\u95ee\u9898\u672c\u8eab\u3002\u5b83\u7b80\u5355\u5230\u4f60\u80fd\u5728\u9910\u5dfe\u7eb8\u4e0a\u753b\u51fa\u6765\uff0c\u4f46\u96be\u5230\u4e94\u4ee3\u6570\u5b66\u5bb6\u90fd\u6ca1\u641e\u5b9a\u3002<\/p>\n

\u57c3\u5c14\u5fb7\u4ec01946\u5e74\u63d0\u51fa\u7684\u5355\u4f4d\u8ddd\u79bb\u95ee\u9898\u662f\u8bf4\uff1a<\/p>\n

\u5e73\u9762\u4e0a\u653en\u4e2a\u70b9\uff0c\u6700\u591a\u80fd\u6709\u591a\u5c11\u5bf9\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u6070\u597d\u4e3a1\uff1f<\/p>\n

\u542c\u7740\u50cf\u5c0f\u5b66\u6570\u5b66\u5bf9\u5427\uff1f\u4f46\u4f60\u8bd5\u7740\u6446\u4e00\u4e0b\u2014\u2014<\/p>\n

\u4e09\u4e2a\u70b9\u53ef\u4ee5\u6446\u6210\u7b49\u8fb9\u4e09\u89d2\u5f62\uff0c\u6bcf\u5bf9\u8ddd\u79bb\u90fd\u662f1\uff1b<\/p>\n

\u56db\u4e2a\u70b9\u5462\uff1f\u6b63\u65b9\u5f62\u4e0d\u884c\uff0c\u56e0\u4e3a\u5bf9\u89d2\u7ebf\u4e0d\u662f1\uff0c\u6240\u4ee5\u5c31\u5f97\u4f60\u5f97\u52a8\u8111\u5b50\u4e86\uff1b<\/p>\n

\u518d\u63a8\u5230n\u4e2a\u70b9\uff0c\u95ee\u9898\u5c31\u70b8\u4e86\u3002<\/p>\n

\u8fc7\u53bb\u8fd180\u5e74\uff0c\u6570\u5b66\u5bb6\u4eec\u8fbe\u6210\u4e86\u4e00\u4e2a\u6838\u5fc3\u5171\u8bc6\uff1a\u6700\u4f18\u65b9\u6848\u5927\u6982\u5c31\u662f\u6b63\u65b9\u5f62\u7f51\u683c\u90a3\u6837\u7684\u6392\u5217\u3002<\/p>\n

\u7528\u6570\u5b66\u8bed\u8a00\u8bf4\uff0c\u4ed6\u4eec\u76f8\u4fe1\u5355\u4f4d\u8ddd\u79bb\u5bf9\u6570\u7684\u589e\u957f\u901f\u5ea6\u5927\u7ea6\u662f O(n)\uff0c\u4e5f\u5c31\u662f\u8bf4\u589e\u957f\u57fa\u672c\u4e0a\u662f\u7ebf\u6027\u7684\u3002<\/p>\n

\u5199\u6210\u516c\u5f0f\u5c31\u662f u(n) \u2264 n^(1+o(1))\uff0c\u90a3\u4e2ao(1) \u8d8b\u8fd1\u4e8e0\u3002<\/p>\n

\u800c\u8fd9\u6b21OpenAI\u7684\u5185\u90e8\u901a\u7528\u6a21\u578b\u6ca1\u8d70\u51e0\u4f55\u8def\u7ebf\uff0c\u800c\u662f\u4ece\u4ee3\u6570\u6570\u8bba\u7ed5\u8fdb\u6765\uff0c\u6784\u9020\u51fa\u4e86\u4e00\u65cf\u5168\u65b0\u7684\u70b9\u6392\u5217\u65b9\u5f0f\u3002<\/p>\n

\u6700\u540e\u8bc1\u660e\uff1au(n) \u2265 n^(1+\u03b4)\uff0c\u5176\u4e2d\u03b4>0\u3002<\/p>\n

\u7ffb\u8bd1\u8fc7\u6765\u5c31\u662f\u589e\u957f\u901f\u5ea6\u4e0d\u662f\u7ebf\u6027\u7684\uff0c\u662f\u8d85\u7ebf\u6027\u7684\u3002<\/p>\n

\u90a3\u4e2a\u5927\u5bb6\u4ee5\u4e3a\u201c\u8d8b\u8fd1\u4e8e0\u201d\u7684\u5c0f\u5c3e\u5df4\uff0c\u5176\u5b9e\u662f\u6b63\u7684\u3002<\/p>\n

80\u5e74\u7684\u6570\u5b66\u5171\u8bc6\uff0c\u88ab\u6253\u7834\u4e86\u3002<\/p>\n

\u662fAI\u7ed9\u51fa\u7684\u6784\u9020\u867d\u7136\u8bc1\u660e\u4e86\u03b4>0\uff0c\u4f46\u5177\u4f53\u6570\u503c\u8fd8\u4e0d\u662f\u6700\u4f18\u3002<\/p>\n

\u4eba\u7c7b\u6570\u5b66\u5bb6\u62ff\u5230\u8fd9\u4e2a\u6784\u9020\u4e4b\u540e\uff0c\u7acb\u523b\u5728AI\u7684\u57fa\u7840\u4e0a\u505a\u4e86\u4f18\u5316\uff0c\u628a\u4e0b\u754c\u53c8\u5f80\u4e0a\u63a8\u4e86\u4e00\u628a\u3002<\/p>\n

\u867d\u7136OpenAI\u6ca1\u6709\u53d1\u5e03AI\u672a\u7cbe\u7b80\u8fc7\u7684\u5b8c\u6574\u601d\u8def\uff0c\u4f46\u5176\u7cbe\u7b80\u540e\u7684\u5185\u5bb9\u8db3\u8db3\u6709125\u9875\uff01<\/p>\n

\u7f51\u53cb\u8fd8\u53d1\u73b0\u4e00\u4e2a\u7ec6\u8282\uff0c\u8be5\u6a21\u578b\u5728\u7b2c39\u9875\u9610\u8ff0\u4e86\u5173\u952e\u89c2\u70b9\uff0c\u5e76\u5c06\u6784\u9020\u8fc7\u7a0b\u63cf\u8ff0\u4e3a\u201c\u4ee4\u4eba\u6050\u60e7\u7684\u201d\u3002<\/p>\n

\u4e8e\u662f\u4e0d\u5c11\u6570\u5b66\u7231\u597d\u8005\u8868\u793a\uff1a\u597d\u60f3\u8bfb\u5230\u5b8c\u6574\u601d\u8def\u2026\u2026<\/p>\n

\u800c\u4e14\u636eOpenAI\u81ea\u5df1\u8bf4\uff0c\u8fd9\u6b3e\u6a21\u578b\u8fd8\u4e0d\u662f\u4e13\u95e8\u7ec3\u6570\u5b66\u7684\u4e13\u7528AI\uff0c\u5c31\u662f\u6b63\u7ecf\u901a\u7528\u5927\u6a21\u578b\uff0c\u7eaf\u9760\u81ea\u5df1\u903b\u8f91\u63a8\u6f14\u5b8c\u6210\u7a81\u7834\u2026\u2026\u5929\u8d4b\u62c9\u6ee1\u4e86\u3002<\/p>\n

OpenAI\u5728\u6570\u5b66\u4e0a\u7ffb\u8fc7\u8f66\uff0c\u8fd9\u4e2a\u7ed5\u4e0d\u5f00\u3002<\/p>\n

\u53bb\u5e7410\u6708\uff0cOpenAI\u526f\u603b\u88c1Kevin Weil\u53d1\u5e16\u8bf4GPT-5\u89e3\u4e8610\u4e2a\u57c3\u5c14\u5fb7\u4ec0\u95ee\u9898\u3002<\/p>\n

\u7ed3\u679c\u88ab\u7ef4\u62a4erdosproblems\u7f51\u7ad9\u7684\u6570\u5b66\u5bb6Thomas Bloom\u5f53\u573a\u62c6\u7a7f\uff1a<\/p>\n

\u8fd9\u662f\u8bef\u5bfc\uff0cGPT-5\u53ea\u662f\u641c\u5230\u4e86Bloom\u4e2a\u4eba\u4e0d\u77e5\u9053\u7684\u5df2\u6709\u8bba\u6587\uff0c\u4e0d\u662f\u539f\u521b\u53d1\u73b0\u3002<\/p>\n

DeepMind\u54c8\u8428\u6bd4\u65af\u4e5f\u70ae\u8f70\u201c\u4ee4\u4eba\u5c34\u5c2c\u201d\uff0c\u6700\u540eWeil\u5220\u5e16\u6536\u573a\u3002<\/p>\n

\u4e03\u4e2a\u6708\u540e\uff0c\u53c8\u662fThomas Bloom\uff0c\u9762\u5bf9OpenAI\u7684\u65b0\u6570\u5b66\u6210\u679c\uff0c\u8bf4\u4e86\u53e5\u5b8c\u5168\u4e0d\u540c\u7684\u8bdd\uff1a<\/p>\n

\u8fd9\u662f\u4eba\u5de5\u667a\u80fd\u76ee\u524d\u5728\u6570\u5b66\u9886\u57df\u53d6\u5f97\u7684\u6700\u4eae\u773c\u6210\u5c31\u3002<\/p>\n

\u5e74\u521dFirst Proof\u9879\u76ee\u91cc\uff0cOpenAI\u7684\u4e00\u4e2a\u5185\u90e8\u6570\u5b66\u6a21\u578b\u89e3\u51b3\u4e86\u9898\u96c6\u4e2d\u76845\u9053\uff0c\u5f53\u65f6Noam Brown\u5c31\u8bf4\u90a3\u4e2a\u5185\u90e8\u6a21\u578b\u5373\u5c06\u53d1\u5e03\uff1b<\/p>\n

\u73b0\u5728\u4ed6\u53c8\u8bf4\u4e00\u4e2a\u901a\u7528\u6a21\u578b\u4f1a\u5c3d\u5feb\u53d1\u5e03\u2026\u2026<\/p>\n

\u6211\u53ea\u60f3\u77e5\u9053\uff0cOpenAI\u5230\u5e95\u8fd8\u85cf\u7740\u591a\u5c11\u597d\u4e1c\u897f\uff08doge\uff09\u3002<\/p>\n

\u53c2\u8003\u94fe\u63a5\uff1a[1]https:\/\/x.com\/polynoamial\/status\/2057178198228586824?s=20[2]https:\/\/x.com\/voooooogel\/status\/2057198687307362642?s=20<\/p>\n

\n

\u7248\u6743\u58f0\u660e\uff1a<\/strong><\/p>\n

\u672c\u535a\u5ba2\u90e8\u5206\u5185\u5bb9\u4e3a\u8f6c\u8f7d\u6587\u7ae0\uff0c\u65e8\u5728\u5206\u4eab\u6709\u4ef7\u503c\u7684\u4fe1\u606f\uff0c\u7248\u6743\u5f52\u539f\u4f5c\u8005\u6240\u6709\u3002<\/p>\n

\u8f6c\u8f7d\u4ec5\u4e3a\u4e2a\u4eba\u5b66\u4e60\u4e0e\u4ea4\u6d41\u76ee\u7684\uff0c\u4e0d\u5bf9\u6587\u7ae0\u89c2\u70b9\u8d1f\u8d23\uff0c\u4ea6\u4e0d\u7528\u4e8e\u4efb\u4f55\u5546\u4e1a\u7528\u9014\u3002<\/p>\n

\u5982\u6d89\u53ca\u7248\u6743\u95ee\u9898\uff0c\u8bf7\u8054\u7cfb\u672c\u4eba\u5220\u9664\u3002<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"

\u95fb\u4e50 \u53d1\u81ea \u51f9\u975e\u5bfa<\/p>\n

OpenAI\u53c8\u53cc\u53d2\u641e\u6570\u5b66\u4e86\u3002<\/p>\n

\u5185\u90e8\u6a21\u578b\u641e\u5b9a\u4e86\u4e00\u9053\u57c3\u5c14\u5fb7\u4ec0\u65e9\u5e74\u63d0\u51fa\u7684\u5355\u4f4d\u8ddd\u79bb\u7ecf\u5178\u96be\u9898\uff0c\u5df2\u7ecf80\u5e74\u65e0\u5b9e\u8d28\u8fdb\u5c55\u3002<\/p>\n

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