{"id":46515,"date":"2023-11-15T16:43:19","date_gmt":"2023-11-15T08:43:19","guid":{"rendered":"https:\/\/swarma.org\/?p=46515"},"modified":"2023-11-15T16:43:19","modified_gmt":"2023-11-15T08:43:19","slug":"%e9%80%9a%e7%94%a8%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%ef%bc%88agi%ef%bc%89%e5%b7%b2%e7%bb%8f%e5%88%b0%e6%9d%a5%ef%bc%9f%e6%b7%b1%e5%ba%a6%e8%a7%a3%e6%9e%90-chatgpt-%e8%8e%b7%e5%be%97%e6%99%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=46515","title":{"rendered":"\u901a\u7528\u4eba\u5de5\u667a\u80fd\uff08AGI\uff09\u5df2\u7ecf\u5230\u6765\uff1f\u6df1\u5ea6\u89e3\u6790 ChatGPT \u83b7\u5f97\u667a\u80fd\u7684\u6570\u5b66\u7269\u7406\u673a\u7406"},"content":{"rendered":"
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    ChatGPT\u662f\u7b2c\u4e00\u4e2a\u771f\u6b63\u610f\u4e49\u7684\u4eba\u5de5\u901a\u7528\u667a\u80fd<\/strong><\/section>\n<\/li>\n
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    OpenAI\u9996\u5e2d\u79d1\u5b66\u5bb6\u900f\u9732GPT4\u6280\u672f\u539f\u7406<\/strong><\/section>\n<\/li>\n
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    1. \u901a\u7528\u4eba\u5de5\u667a\u80fd\uff08AGI\uff09\u5df2\u7ecf\u5230\u6765<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    \u8c37\u6b4c\u65af\u5766\u798f\u9662\u58eb\uff1a\u901a\u7528\u4eba\u5de5\u667a\u80fd\u5df2\u7ecf\u5230\u6765<\/span><\/a>\uff0c\u6587\u4e2d\u63d0\u5230\u6765\u81eaGoogle\u548c\u65af\u5766\u798f\u5927\u5b66\u4e24\u4f4d\u5b66\u8005 Fellow\uff0c\u9610\u660e\u201c \u5f53\u4eca\u6700\u5148\u8fdb\u7684\u4eba\u5de5\u667a\u80fd\u6a21\u578b\u5b58\u5728\u8bb8\u591a\u7f3a\u9677\uff0c\u4f46\u51e0\u5341\u5e74\u540e\uff0c\u5b83\u4eec\u5c06\u88ab\u516c\u8ba4\u4e3a\u901a\u7528\u4eba\u5de5\u667a\u80fd\u7684\u7b2c\u4e00\u4e2a\u771f\u5b9e\u4f8b\u5b50\u201d\uff0c\u201cAGI \u6700\u91cd\u8981\u7684\u90e8\u5206\u5df2\u7ecf\u7531\u5f53\u524d\u4e00\u4ee3\u5148\u8fdb\u7684\u4eba\u5de5\u667a\u80fd\u5927\u8bed\u8a00\u6a21\u578b\u5b9e\u73b0\u4e86\u201d\u3002\u4e24\u4f4d\u5b66\u8005\u5206\u522b\u4ece\u4e3b\u9898\u3001\u4efb\u52a1\u3001\u6a21\u6001\u3001\u8bed\u8a00\u3001\u53ef\u6307\u5bfc\u6027\u5206\u6790\u4e86\u4e3a\u4ec0\u4e48\u73b0\u5728\u7684\u5927\u8bed\u8a00\u6a21\u578b\u5df2\u7ecf\u53ef\u4ee5\u88ab\u5224\u5b9a\u4e3a\u901a\u7528\u4eba\u5de5\u667a\u80fd\u4e86\u3002<\/span><\/section>\n

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    \u5e76\u4e14\u4e24\u4f4d\u5b66\u8005\u5206\u6790\u4e86\u884c\u4e1a\u5185\u8bb8\u591a\u4eba\u4e4b\u6240\u4ee5\u4e0d\u613f\u610f\u627f\u8ba4\u901a\u7528\u4eba\u5de5\u667a\u80fd\u662f\u51fa\u4e8e\u5bf9\u5bf9 AGI \u6307\u6807\u7684\u5408\u7406\u6000\u7591\uff0c\u6216\u8005\u5bf9\u66ff\u4ee3\u4eba\u5de5\u667a\u80fd\u7406\u8bba\u6216\u6280\u672f\u7684\u610f\u8bc6\u5f62\u6001\u627f\u8bfa\uff0c\u4ea6\u6216\u8005\u5bf9\u4eba\u7c7b<\/span>\uff08\u6216\u751f\u7269\uff09<\/span>\u4f8b\u5916\u8bba\u7684\u70ed\u7231\uff0c\u8fd8\u6709\u5c31\u662f\u5bf9 AGI \u7ecf\u6d4e\u5f71\u54cd\u7684\u62c5\u5fe7\u3002<\/span><\/section>\n

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    \u9898\u76ee\uff1aArtificial General Intelligence Is Already Here<\/p>\n

    \u5730\u5740\uff1a<\/p>\n

    https:\/\/www.noemamag.com\/ARTIFICIAL-GENERAL-INTELLIGENCE-IS-ALREADY-HERE\/<\/p>\n<\/section>\n<\/blockquote>\n


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    2. ChatGPT\u662f\u7b2c\u4e00\u4e2a\u771f\u6b63\u610f\u4e49\u4e0a\u7684AGI<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    ChatGPT\u662f\u7b2c\u4e00\u4e2a\u771f\u6b63\u610f\u4e49\u7684\u4eba\u5de5\u901a\u7528\u667a\u80fd<\/a>\uff0c\u7b14\u8005\u5e74\u521d\u5728\u6b64\u6587\u4e2d\u5224\u65adChatGPT\u5176\u5b9e\u5df2\u7ecf\u662fAGI\u4e86\u3002<\/span><\/section>\n

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    Karl Friston\u81ea\u7531\u80fd\u7406\u8bba\u63a8\u6d4b\u5927\u8111\u5982\u6b64\u5de5\u4f5c: \u5c06\u201c\u5148\u9a8c\u201d\u4e0e\u65b0\u7684\u611f\u5b98\u8f93\u5165<\/span>\uff08\u201c\u4f3c\u7136\u201d\uff09<\/span>\u76f8\u7ed3\u5408\uff0c\u4ea7\u751f\u611f\u77e5<\/span>\uff08\u201c\u540e\u9a8c\u201d\uff09<\/span>\uff0c\u662f\u5927\u8111\u5bf9\u5185\u5916\u90e8\u4e24\u4e2a\u4fe1\u606f\u6e90\u7684\u6574\u5408\uff0c\u5e76\u6309\u5176\u76f8\u5bf9\u7cbe\u5ea6<\/span>\uff08\u9006\u4e0d\u786e\u5b9a\u6027\uff09<\/span>\u8fdb\u884c\u4e86\u52a0\u6743\u3002\u8fd9\u662f\u77e5\u89c9\u7684\u57fa\u672c\u539f\u7406\u3002Friston \u7684\u611f\u77e5\u6982\u5ff5\u6570\u5b66\u5f62\u5f0f\uff0c\u53cd\u6620\u4e86\u5927\u8111\u7684\u611f\u77e5\u5176\u5b9e\u662f\u5728\u505a\u53d8\u5206\u63a8\u65ad\u3002<\/span><\/section>\n

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    \u501f\u52a9Embedding \uff0cGPT \u5c06\u4eba\u7c7b\u7684\u8bed\u8a00 \u201c\u7f16\u7801\u201d\u6210\u81ea\u5df1\u7684\u8bed\u8a00\uff0c\u7136\u540e\u901a\u8fc7\u6ce8\u610f\u529bAttention\u4ece\u4e2d\u63d0\u53d6\u5404\u79cd\u4e30\u5bcc\u7684\u77e5\u8bc6\u548c\u7ed3\u6784\uff0c\u52a0\u6743\u79ef\u7d2f\u4e0e\u5173\u8054\u751f\u6210\u81ea\u5df1\u7684\u8bed\u8a00\uff0c\u7136\u540e\u201c\u7f16\u7801\u201d\u56de\u4eba\u7c7b\u7684\u8bed\u8a00\u3002<\/span>\u672c\u8d28\u4e0a\u770b\uff0cGPT \u5176\u5b9e\u662f\u6784\u5efa\u4e86\u4e00\u4e2a\u9ad8\u7ef4\u7684\u8bed\u8a00\u4f53\u7cfb\uff0c\u53ef\u4ee5\u5c06\u81ea\u7136\u8bed\u8a00\uff0c\u7a0b\u5e8f\u8bed\u8a00\uff0c\u89c6\u89c9\u542c\u89c9\u8bed\u8a00\uff0c\u6620\u5c04<\/span><\/strong>\uff08\u6216\u8005\u53eb\u7f16\u7801\uff09<\/span><\/strong>\u5230\u8fd9\u4e2a\u9ad8\u7ef4\u7684\u8bed\u8a00\u7a7a\u95f4\u4e2d<\/span><\/strong>\u3002\u9ad8\u7ef4\u8bed\u8a00\u7a7a\u95f4\u662f\u6982\u7387\u5206\u5e03\u5f20\u6210\u7684\u7a7a\u95f4<\/span><\/strong>\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    Transformer\u662f\u8db3\u591f\u5f3a\u5927\u7684\u7279\u5f81\u63d0\u53d6\u5668\u3002\u4ec5\u4ece\u77e5\u8bc6\u89d2\u5ea6\uff0cGPT\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u79cd\u4ee5\u6a21\u578b\u53c2\u6570\u4f53\u73b0\u7684\u9690\u5f0f\u77e5\u8bc6\u56fe\u8c31\u3002\u77e5\u8bc6\u5b58\u50a8\u5728Transformer\u7684\u6a21\u578b\u53c2\u6570\u91cc\uff1a\u591a\u5934\u6ce8\u610f\u529b\u5b58\u50a8\u4fe1\u606f\u7684\u7ed3\u6784<\/span>\uff08\u76f8\u5173\u5f3a\u5ea6\uff0c\u4fe1\u606f\u6574\u5408\u65b9\u5f0f\u7b49\uff09<\/span>\uff1b\u7c7b\u4f3cQuery\/Key\/Value\u7ed3\u6784\u7684FFN\u5b58\u50a8\u77e5\u8bc6\u4e3b\u4f53\u3002<\/span><\/section>\n

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    \u4ee3\u7801\u8bad\u7ec3\uff0c\u83b7\u53d6\u957f\u7a0b\u5173\u8054\u4e0e\u63a8\u7406\u80fd\u529b\u3002\u4ee3\u7801\u5176\u5b9e\u4e5f\u53ef\u4ee5\u770b\u6210\u7279\u6b8a\u7684\u601d\u7ef4\u94fe\uff0c\u8bad\u7ec3\u53ef\u4ee5\u964d\u4f4e\u4fe1\u606f\u71b5\uff0c\u8ba9\u4fe1\u606f\u66f4\u53ef\u9884\u6d4b\u3002\u5927\u91cf\u8fd9\u79cd\u8bed\u8a00\u7ed3\u6784\u793a\u4f8b\u53c2\u4e0e\u9884\u8bad\u7ec3\u7684\u8bdd\uff0cGPT\u88ab\u6ce8\u5165\u8db3\u591f\u7684\u4fe1\u606f\u91cf\uff0c\u5f62\u6210\u5404\u79cd\u590d\u6742\u5173\u8054\u7684\u6a21\u5f0f\uff0c\u6db5\u76d6\u4ee3\u7801\u4e2d\u7684\u77e5\u8bc6\u548c\u77e5\u8bc6\u7ed3\u6784\u3002\u9ad8\u8d28\u91cf\u7684\u4ee3\u7801\uff0c\u53ef\u4ee5\u663e\u8457\u7684\u964d\u4f4eGPT\u83b7\u53d6\u7684\u4fe1\u606f\u71b5\uff0c\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48GPT\u5728\u4ee3\u7801\u4e0a\u6bd4\u81ea\u7136\u8bed\u8a00\u66f4\u8ba9\u4eba\u60ca\u8273\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    GPT \u6784\u5efa\u4e86\u6d77\u91cf\u81ea\u7136\u8bed\u8a00\u548c\u4ee3\u7801\u7684\u6982\u7387\u5206\u5e03\u7a7a\u95f4\uff0c\u88ab\u6ce8\u5165\u8db3\u591f\u7684\u4fe1\u606f\u91cf<\/span>\uff08\u7b49\u4e8e\u6ce8\u5165\u5927\u91cf\u8d1f\u7684\u4fe1\u606f\u71b5\uff09<\/span>\uff0c\u5f62\u6210\u5404\u79cd\u590d\u6742\u5173\u8054\u7684\u6a21\u5f0f\uff0c\u6db5\u76d6\u81ea\u7136\u8bed\u8a00\u548c\u4ee3\u7801\u4e2d\u5404\u79cd\u77e5\u8bc6\u4e0e\u7ed3\u6784\u3002\u8fd9\u4e9b\u77e5\u8bc6\u548c\u7ed3\u6784\uff0c\u4f53\u73b0\u4e3a\u6982\u7387\u5206\u5e03\u7684\u8ddd\u79bb\u4e0e\u5173\u7cfb\uff0c\u4ece\u800c\u4e3a\u5bf9\u6bd4\u3001\u7c7b\u6bd4\u3001\u5f52\u7eb3\u3001\u6f14\u7ece\u7b49\u63a8\u7406\u6b65\u9aa4\u63d0\u4f9b\u652f\u6491\uff0c\u4e5f\u5c31\u662f\u201c\u6d8c\u73b0\u51fa\u201d\u8fd9\u4e9b\u63a8\u7406\u80fd\u529b\u3002\u8fdb\u4e00\u6b65\u770b\uff0cLLM \u673a\u5236\u4e0a\u5141\u8bb8\u4ea7\u751f\u81ea\u4e3b\u610f\u8bc6\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n

    <\/section>\n

    <\/section>\n

    \n
    \n
    \n
    \n
    \n

    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    3. OpenAI\u9996\u5e2d\u79d1\u5b66\u5bb6\u8bf4\u6cd5\u5370\u8bc1\u4e86\u8fd9\u4e2a\u63a8\u65ad<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

    <\/section>\n

    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    OpenAI\u9996\u5e2d\u79d1\u5b66\u5bb6\u900f\u9732GPT4\u6280\u672f\u539f\u7406<\/a>\uff0c\u6587\u4e2d\u6574\u7406\u4e86Ilya\u5bf9ChatGPT\u7684\u539f\u7406\u63cf\u8ff0 \uff1a\u6bcf\u4e2a\u795e\u7ecf\u7f51\u7edc\u901a\u8fc7\u201cEmbedding\u201d\u8868\u793a\u6cd5\uff0c\u5373\u9ad8\u7ef4\u5411\u91cf\uff0c\u6765\u4ee3\u8868\u5355\u8bcd\u3001\u53e5\u5b50\u548c\u6982\u5ff5\u3002\u6211\u4eec\u53ef\u4ee5\u770b\u4e00\u4e0b\u8fd9\u4e9b\u9ad8\u7ef4\u5411\u91cf\uff0c\u770b\u770b\u4ec0\u4e48\u4e0e\u4ec0\u4e48\u76f8\u4f3c\uff0c\u4ee5\u53ca\u7f51\u7edc\u662f\u5982\u4f55\u770b\u5f85\u8fd9\u4e2a\u6982\u5ff5\u6216\u90a3\u4e2a\u6982\u5ff5\u7684\uff1f\u56e0\u6b64\uff0c\u53ea\u9700\u8981\u67e5\u770b\u989c\u8272\u7684Embedding\u5411\u91cf\uff0c\u673a\u5668\u5c31\u4f1a\u77e5\u9053\u7d2b\u8272\u6bd4\u7ea2\u8272\u66f4\u63a5\u8fd1\u84dd\u8272\uff0c\u4ee5\u53ca\u7ea2\u8272\u6bd4\u7d2b\u8272\u66f4\u63a5\u8fd1\u6a59\u8272\u3002\u5b83\u53ea\u662f\u901a\u8fc7\u6587\u672c\u5c31\u80fd\u77e5\u9053\u6240\u6709\u8fd9\u4e9b\u4e1c\u897f\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u4ed6\u8fd8\u63d0\u5230\uff0c\u5176\u4e2d\u4e00\u4e2a\u4e3b\u8981\u6311\u6218\u662f\u9884\u6d4b\u5177\u6709\u4e0d\u786e\u5b9a\u6027\u7684\u9ad8\u7ef4\u5411\u91cf\u3002\u90a3\u5c31\u662f\u76ee\u524d\u7684\u81ea\u56de\u5f52Transformer\u5df2\u7ecf\u5177\u5907\u4e86\u8fd9\u79cd\u7279\u6027<\/span> [decoder-only]<\/span>\u3002\u4e00\u4e2a\u662f\u5bf9\u4e8e\u7ed9\u5b9a\u4e00\u672c\u4e66\u4e2d\u4efb\u610f\u7684\u4e00\u9875\uff0c\u9884\u6d4b\u5176\u4e0b\u4e00\u9875\u7684\u5185\u5bb9\u3002\u4e0b\u4e00\u9875\u6709\u975e\u5e38\u591a\u7684\u53ef\u80fd\u6027\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u590d\u6742\u7684\u9ad8\u7ef4\u7a7a\u95f4\uff0c\u800c\u5b83\u4eec\u53ef\u4ee5\u5f88\u597d\u5730\u5904\u7406\u5b83\u3002\u540c\u6837\u7684\u60c5\u51b5\u4e5f\u9002\u7528\u4e8e\u56fe\u50cf\u3002\u8fd9\u4e9b\u81ea\u56de\u5f52Tranformer\u5728\u56fe\u50cf\u4e0a\u4e5f\u8fd0\u4f5c\u5f97\u975e\u5e38\u5b8c\u7f8e\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u57fa\u4e8e\u7b14\u8005\u5bf9GPT3\/4\u5176\u667a\u80fd\u539f\u7406\u7684\u63a8\u6f14 <\/span>\uff08\u8be6\u89c1\uff1a\u201cChatGPT\u662f\u7b2c\u4e00\u4e2a\u771f\u6b63\u610f\u4e49\u7684\u4eba\u5de5\u901a\u7528\u667a\u80fd<\/a>\u201d\u7ae0\u8282\uff09<\/span>\uff0c\u4e0eIlya SutskeverIlya\u7684\u53ea\u8a00\u7247\u8bed\u505a\u4e00\u4e00\u5bf9\u7167\u5206\u6790\uff0c\u53ef\u4ee5\u770b\u5230\u7b14\u8005\u7684\u6280\u672f\u539f\u7406\u63a8\u6f14\u4e0eIlya SutskeverIlya\u7684\u8868\u8ff0\u5b8c\u5168\u543b\u5408\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n

    <\/section>\n

    <\/section>\n

    \n
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    <\/section>\n

    <\/section>\n
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    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    4.  \u4eba\u7c7b\u8bed\u8a00\u5b66\u4e60\u8fc7\u7a0b\u5b58\u5728\u76f8\u53d8<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

    <\/section>\n

    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    \u5b66\u4e60\u8bed\u8a00\u9700\u8981\u76f8\u53d8<\/a>\u4e2d\u63d0\u5230\uff0c\u8bed\u8a00\u5b66\u4e2d\u4e00\u4e2a\u957f\u671f\u5b58\u5728\u7684\u96be\u9898\u662f\uff0c\u513f\u7ae5\u5982\u4f55\u5b66\u4e60\u4ed6\u4eec\u7684\u8bed\u8a00\u7684\u57fa\u672c\u8bed\u6cd5\u7ed3\u6784\uff0c\u4ece\u800c\u80fd\u591f\u521b\u9020\u51fa\u4ed6\u4eec\u4ee5\u524d\u4ece\u672a\u542c\u8fc7\u7684\u53e5\u5b50\u3002\u4e00\u9879\u65b0\u7684\u7814\u7a76\u8868\u660e\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u6d89\u53ca\u4e00\u79cd\u76f8\u53d8\uff0c\u5373\u5f53\u8bed\u6cd5\u89c4\u5219\u88ab\u5b66\u4e60\u8005\u76f4\u89c9\u5730\u7406\u89e3\u65f6\uff0c\u4e00\u79cd\u8bed\u8a00\u7684\u201c\u6df1\u5c42\u7ed3\u6784\u201d\u4f1a\u7a81\u7136\u7ed3\u6676\u51fa\u6765<\/strong>\u3002\u5728\u8fd9\u4e2a\u76f8\u53d8\u70b9\uff0c\u4e00\u79cd\u8bed\u8a00\u4ece\u770b\u8d77\u6765\u50cf\u662f\u968f\u673a\u7684\u5355\u8bcd\u6df7\u5408\u4f53\u8f6c\u53d8\u4e3a\u4e00\u4e2a\u9ad8\u5ea6\u7ed3\u6784\u5316\u7684\u3001\u5bcc\u542b\u4fe1\u606f\u7684\u901a\u4fe1\u7cfb\u7edf<\/strong>\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5df4\u9ece\u9ad8\u7b49\u5e08\u8303\u5b66\u6821<\/span>\uff08\u00c9cole Normale Sup\u00e9rieure\uff09<\/span>\u7684\u7269\u7406\u5b66\u5bb6Eric DeGiuli\u8ba4\u4e3a\uff0c\u4eba\u7c7b\u8bed\u8a00\u8bed\u6cd5\u6700\u7b80\u5355\u7684\u7c7b\u578b\u88ab\u79f0\u4e3a\u65e0\u4e0a\u4e0b\u6587\u6587\u6cd5<\/span>\uff08CFG\uff09<\/span>\uff0c\u53ef\u4ee5\u88ab\u89c6\u4e3a\u7269\u7406\u5bf9\u8c61\uff0c\u5176\u201c\u8868\u9762\u201d\u5305\u62ec\u6240\u6709\u53ef\u80fd\u7684\u5355\u8bcd\u6392\u5217\u65b9\u5f0f\uff0c\u5305\u62ec\u539f\u5219\u4e0a\u65e0\u610f\u4e49\u7684\u53e5\u5b50\u3002DeGiuli\u8868\u793a\uff0c\u8fd9\u4e9b\u8bb8\u591a\u5355\u8bcd\u7ec4\u5408\u5c31\u50cf\u7edf\u8ba1\u529b\u5b66\u4e2d\u7684\u5fae\u89c2\u6001\u2014\u2014\u4e00\u4e2a\u7cfb\u7edf\u7684\u7ec4\u6210\u7c92\u5b50\u7684\u6240\u6709\u53ef\u80fd\u7684\u6392\u5217\u65b9\u5f0f\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    DeGiuli\u770b\u5230CFG\u4ece\u968f\u673a\u548c\u6742\u4e71\u65e0\u5e8f\u7684CFG\u7a81\u7136\u8f6c\u53d8\u4e3a\u5177\u6709\u9ad8\u4fe1\u606f\u91cf\u7684CFG\u3002\u8fd9\u79cd\u8f6c\u53d8\u7c7b\u4f3c\u4e8e\u6c34\u7684\u7ed3\u51b0\u8fc7\u7a0b\u3002\u4ed6\u8ba4\u4e3a\uff0c\u8fd9\u79cd\u8f6c\u53d8\u53ef\u80fd\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u5728\u53d1\u5c55\u7684\u67d0\u4e2a\u9636\u6bb5\uff0c\u5b69\u5b50\u5b66\u4e60\u5982\u4f55\u5feb\u901f\u6784\u9020\u8bed\u6cd5\u6b63\u786e\u7684\u53e5\u5b50\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \n
    \n

    DeGiuli E. Random language model[J]. Physical Review Letters, 2019, 122(12): 128301.<\/p>\n

    https:\/\/physics.aps.org\/articles\/v12\/35<\/p>\n<\/section>\n<\/blockquote>\n


    <\/p>\n

    <\/section>\n

    <\/section>\n

    <\/section>\n

    \n
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    <\/section>\n
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    <\/svg><\/section>\n<\/section>\n<\/section>\n
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    5. \u5927\u8bed\u8a00\u6a21\u578b\u4e2d\u7684\u76f8\u53d8\u4e0e\u6d8c\u73b0<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

    <\/section>\n

    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    \u76f8\u53d8\u4e0e\u6d8c\u73b0<\/a>\u4e00\u6587\u4e2d\u7b14\u8005\u63d0\u5230\uff0c\u6ca1\u6709\u9884\u8bad\u7ec3\u7684Transformer\u662f\u4e00\u5f20\u5404\u5411\u5bf9\u79f0\u7684\u767d\u7eb8\uff0c\u4e5f\u5c31\u662f\u5176\u8bed\u8a00\u7a7a\u95f4\u7684\u5bc6\u5ea6\u51fd\u6570\u03c1\u662f\u5747\u5300\u7684\u3002\u8fd9\u4e2a\u8bed\u8a00\u7a7a\u95f4\u7684\u5bc6\u5ea6\u51fd\u6570\u51b3\u5b9a\u4e86\u7cfb\u7edf\u7684\u4fe1\u606f\u71b5\uff0c\u5982\u679c\u6211\u4eec\u628a \u03c1 \u8868\u793a\u6210\u5411\u91cf  \u03b7\uff0c\u5219\u4fe1\u606f\u71b5\u53ef\u4ee5\u8868\u793a\u4e3a F(\u03b7)\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u968f\u7740\u8bed\u6599\u4e0d\u65ad\u88ab emdedding \u540c\u65f6\u57fa\u4e8e\u6ce8\u610f\u529b\u673a\u5236 transform \u5230\u8fd9\u4e2a\u8bed\u8a00\u7a7a\u95f4\uff0c\u7a7a\u95f4\u7684\u5bc6\u5ea6 \u03c1\/\u03b7 \u53d1\u751f\u6539\u53d8\uff0c\u4fe1\u606f\u71b5 F(\u03b7) \u968f\u7740\u6539\u53d8\uff0c\u5f15\u53d1\u8bed\u8a00\u7a7a\u95f4\u5bf9\u79f0\u6027\u7834\u7f3a\u4e0e\u91cd\u5efa\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u80fd\u4f1a\u5728\u5c40\u90e8\u533a\u57df\u4e0d\u540c\u5c3a\u5ea6\u4e0b\u6301\u7eed\u8fdb\u884c\u3002\u4e00\u65e6\u89e6\u53ca\u4e34\u754c\u70b9\uff0c\u5bf9\u79f0\u6027\u7834\u7f3a\u5f15\u53d1\u76f8\u53d8\uff0c\u5927\u6a21\u578b\u5c31\u4f1a\u5728\u67d0\u4e9b\u9886\u57df\u3001\u4e0d\u540c\u957f\u5ea6\u4e0a\u4e0b\u6587\u8868\u73b0\u51fa\u5404\u79cd\u795e\u5947\u7684\u6d8c\u73b0\u80fd\u529b\u3002\u4e5f\u5c31\u662f\u8bed\u8a00\u7a7a\u95f4\u4e2d\uff0c\u51fa\u73b0\u4e86\u5c40\u90e8\u7684\u201c\u5b66\u4e60\u8bed\u8a00\u9700\u8981\u76f8\u53d8\u201d\u4e2d\u63d0\u5230\u7684\u201c\u8bed\u8a00\u7ed3\u6676\u201d\u3002<\/span><\/section>\n

    <\/span><\/section>\n
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    <\/section>\n

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    \n
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    <\/svg><\/section>\n<\/section>\n<\/section>\n
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    6. \u5fae\u8f6f\u5b66\u8005\u5021\u5bfc\u7528AI\u7269\u7406\u5b66\u7814\u7a76\u5927\u6a21\u578b<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

    <\/section>\n

    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    Bubeck\u7684AI\u7269\u7406\u5b66<\/span><\/a>\u6587\u4e2d\uff0c\u5fae\u8f6f\u603b\u90e8\u7814\u7a76\u9662\u673a\u5668\u5b66\u4e60\u7406\u8bba\u7ec4\u8d1f\u8d23\u4eba\u4e07\u5f15\u5927\u795eS\u00e9bastien Bubeck\u8054\u624b2023\u65b0\u89c6\u91ce\u6570\u5b66\u5956\u5f97\u4e3bRonen Eldan\u30012023\u65b0\u664b\u65af\u9686\u7814\u7a76\u5956\u5f97\u4e3b\u674e\u8fdc\u5fd7\u30012020\u65af\u9686\u7814\u7a76\u5956\u5f97\u4e3bYin Tat Lee\u7b49\u4eba\uff0c\u5728\u5176\u8bba\u6587\u300a\u901a\u7528\u4eba\u5de5\u667a\u80fd\u7684\u706b\u82b1\uff1aGPT-4\u65e9\u671f\u5b9e\u9a8c\u300b\u4e2d\u7533\u660e\uff1a\u201cGPT-4\u53ef\u88ab\u89c6\u4f5c AGI \u7684\u65e9\u671f\u7248\u672c\u201d\u3002<\/span><\/section>\n

    <\/section>\n
    Bubeck\u5ba3\u79f0\u4f20\u7edf\u673a\u5668\u5b66\u4e60\u5df2\u7ecf\u4e0d\u5b58\u5728\u4e86\uff0c\u4ed6\u548c\u4ed6\u7684\u56e2\u961f\u5168\u9762\u8f6c\u5411 AI \u7269\u7406\u5b66\u3002\u5728\u673a\u5668\u5b66\u4e60\u4e2d\u5f15\u5165\u7684\u6240\u6709\u5de5\u5177\u5728GPT-4\u7684\u5149\u8292\u4e0b\u51e0\u4e4e\u65e0\u7528\u4e14\u4e0d\u76f8\u5173\uff0c\u56e0\u4e3a\u8fd9\u662f\u4e00\u4e2a\u65b0\u9886\u57df\u3002\u5f53\u7136\uff0c\u6211\u4eec\u4e0d\u77e5\u9053\u5b83\u4f1a\u662f\u4ec0\u4e48\u6837\u5b50\uff0c\u4f46\u6211\u4eec\u5c1d\u8bd5\u7814\u7a76\u7684\u65b9\u6cd5\u662f\u5c1d\u8bd5\u7406\u89e3\u201c\u6d8c\u73b0\u73b0\u8c61\u201d\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u201c\u8ba9\u6211\u4eec\u7814\u7a76\u4eba\u5de5\u667a\u80fd\u7684\u7269\u7406\u5b66\u6216\u8005\u901a\u7528\u4eba\u5de5\u667a\u80fd\u7684\u7269\u7406\u5b66\uff0c\u56e0\u4e3a\u4ece\u67d0\u79cd\u610f\u4e49\u4e0a\u8bb2\uff0c\u6211\u4eec\u73b0\u5728\u771f\u6b63\u770b\u5230\u7684\u662f\u8fd9\u79cd\u901a\u7528\u667a\u80fd\u3002\u90a3\u4e48\uff0c\u7814\u7a76\u901a\u7528\u4eba\u5de5\u667a\u80fd\u7684\u7269\u7406\u5b66\u610f\u5473\u7740\u4ec0\u4e48\uff1f\u5b83\u7684\u610f\u601d\u662f\uff0c\u8ba9\u6211\u4eec\u8bd5\u7740\u501f\u9274\u7269\u7406\u5b66\u5bb6\u8fc7\u53bb\u51e0\u4e2a\u4e16\u7eaa\u7528\u6765\u7406\u89e3\u73b0\u5b9e\u7684\u65b9\u6cd5\u8bba\u201d\u3002<\/span><\/section>\n

    <\/section>\n
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    \n
    Bubeck S, Chandrasekaran V, Eldan R, et al. Sparks of artificial general intelligence: Early experiments with gpt-4[J]. arXiv preprint arXiv:2303.12712, 2023.<\/section>\n<\/section>\n<\/blockquote>\n


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    7. Transformer\u7b49\u4ef7\u4e8e\u91cd\u6574\u5316\u7fa4<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

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    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    Transformer\u7684\u7269\u7406\u539f\u7406<\/span><\/a>\u8bd1\u6587\u63a8\u5bfc\u5f97\u51fa\u5982\u4e0b\u7ed3\u8bba\uff1aTransformer\u6a21\u5757\u7684\u6b63\u5411\u4f20\u9012\u6620\u5c04\u5230\u54cd\u5e94\u6570\u636e\u7684\u77e2\u91cf\u81ea\u65cb\u6a21\u578b\u4e2d\u7684\u8ba1\u7b97\u78c1\u5316\u3002\u6211\u4eec\u5efa\u8bae\u5bf9\u4e00\u4e2a\u4e00\u822c\u77e2\u91cf\u81ea\u65cb\u7cfb\u7edf\u7684\u81ea\u7531\u80fd\u6c42\u5bfc\uff0c\u4ee5\u5f97\u5230\u4e00\u4e2a\u5b8c\u6574transformer\u6a21\u5757\u7684\u67b6\u6784\u84dd\u56fe\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u901a\u8fc7\u4ece\u4e0d\u76f8\u5e72\u7684\u3001\u7edf\u8ba1\u529b\u5b66\u7684\u89d2\u5ea6\u7f29\u5c0f\u548c\u63a5\u8fd1transformer\uff0c\u6211\u4eec\u83b7\u5f97\u4e86transformer\u7684\u7269\u7406\u76f4\u89c9\uff0c\u5f53\u6211\u4eec\u628a\u81ea\u5df1\u5c40\u9650\u5728\u7eb7\u7e41\u53d8\u5316\u7684\u663e\u5f0f\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u65f6\uff0c\u8fd9\u79cd\u76f4\u89c9\u4f3c\u4e4e\u5f88\u96be\u83b7\u5f97\u3002\u5c06transformer\u6a21\u5757\u89c6\u4e3a\u4f2a\u88c5\u7684\u81ea\u65cb\u6a21\u578b\u4e0d\u4ec5\u53ef\u4ee5\u4f5c\u4e3a\u8fd1\u4f3c\u8ba1\u7b97\u78c1\u5316\u7684\u4e0d\u540c\u65b9\u6cd5\uff0c\u7edf\u4e00\u67b6\u6784\u53d8\u4f53\uff0c\u800c\u4e14\u8fd8\u53ef\u4ee5\u9610\u91catransformer\u5728\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u7ecf\u9a8c\u6027\u8d28\u7684\u6210\u529f\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    Transformer \u7b49\u4ef7\u4e8e\u91cd\u6574\u5316\u7fa4\uff08RG\uff09\u3002RG \u5c31\u662f\u5728 Ising Model\u7684\u7814\u7a76\u4e2d\u63d0\u70bc\u51fa\u6765\u7684\u3002\u91cd\u6574\u5316\u201c\u53ef\u4ee5\u8bf4\u662f\u8fc7\u53bb50\u5e74\u7406\u8bba\u7269\u7406\u5b66\u4e2d\u6700\u91cd\u8981\u7684\u8fdb\u5c55\u201d\u3002\u91cd\u6574\u5316\u7fa4\u5305\u62ec\u4e00\u4e2a\u7531\u5927\u91cf\u81ea\u7531\u5ea6\u63cf\u8ff0\u7684\u7cfb\u7edf\uff0cRG\u9010\u7ea7\u5c3a\u5ea6\u6267\u884c\u7c97\u7c92\u5ea6\u5316\u64cd\u4f5c\uff0c\u81ea\u7531\u5ea6\u5b50\u96c6\u88ab\u7ec4\u5408\u5728\u4e00\u8d77\u5e73\u5747\uff0c\u4ee5\u5f62\u6210\u65b0\u7684\u96c6\u4f53\u53d8\u91cf\/\u9690\u53d8\u91cf\u3002\u7269\u7406\u5c3a\u5ea6\u5982\u4f55\u5f15\u7533\u5230\u4fe1\u606f\u7406\u8bba\u7684\u201c\u5c3a\u5ea6\u201d\u6982\u5ff5\u5462\uff1f<\/span><\/section>\n

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    \u9898\u76ee\uff1a<\/p>\n

    Transformers Are Secretly Collectives of Spin Systems<\/p>\n

    \u5730\u5740\uff1a<\/p>\n

    https:\/\/mcbal.github.io\/post\/transformers-are-secretly-collectives-of-spin-systems\/<\/p>\n<\/section>\n<\/blockquote>\n


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    8. \u4fe1\u606f\u8bba\u4e0b\u7684\u8d1d\u53f6\u65af\u91cd\u6574\u5316<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

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    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


    <\/p>\n

    \u8d1d\u53f6\u65af\u91cd\u6574\u5316<\/span><\/a>\uff0c<\/span>\u4e00\u79cd\u53d7\u8d1d\u53f6\u65af\u7edf\u8ba1\u63a8\u65ad\u542f\u53d1\u7684\u5b8c\u5168\u4fe1\u606f\u7406\u8bba\u7684\u91cd\u6574\u5316\u65b9\u6cd5\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u8d1d\u53f6\u65af\u91cd\u6574\u5316\u3002\u8d1d\u53f6\u65af\u91cd\u6574\u5316\u7684\u4e3b\u8981\u89c2\u70b9\u662f\uff0cFisher\u5ea6\u91cf\u5b9a\u4e49\u4e86\u4e00\u4e2a\u76f8\u5173\u957f\u5ea6\uff0c\u5b83\u8d77\u5230\u4e86\u4e00\u4e2a\u91cd\u6574\u5316\u7fa4\u5c3a\u5ea6\u7684\u4f5c\u7528\uff0c\u91cf\u5316\u4e86\u6982\u7387\u5206\u5e03\u7a7a\u95f4\u4e2d\u90bb\u8fd1\u70b9\u4e4b\u95f4\u7684\u53ef\u533a\u5206\u6027\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u8d1d\u53f6\u65af\u91cd\u6574\u5316\u5177\u6709\u8db3\u591f\u7684\u901a\u7528\u6027\uff0c\u5373\u4f7f\u5728\u6ca1\u6709\u76f4\u63a5\u7269\u7406\u5c3a\u5ea6\u7684\u60c5\u51b5\u4e0b\u4e5f\u80fd\u5e94\u7528\uff0c\u4ece\u800c\u4e3a\u6570\u636e\u79d1\u5b66\u73af\u5883\u4e2d\u7684\u91cd\u6574\u5316\u63d0\u4f9b\u4e86\u4e00\u79cd\u7406\u60f3\u7684\u65b9\u6cd5\u3002\u6211\u4eec\u5c06\u8fd9\u4e2a\u65b9\u7a0b\u4ee5\u53ca\u66f4\u5e7f\u6cdb\u5730\u4f7f\u7528\u8d1d\u53f6\u65af\u63a8\u7406\u52a8\u6001\u66f4\u65b0\u4fe1\u5ff5\u7684\u60f3\u6cd5\uff0c\u79f0\u4e3a\u52a8\u6001\u8d1d\u53f6\u65af\u63a8\u7406<\/span>\uff08Dynamic Bayesian Inference\uff0c\u6216Dynamical Bayes,DB\uff09<\/span>\u3002DB\u7684\u4e00\u4e2a\u6838\u5fc3\u89c2\u5bdf\u662f\uff0c\u968f\u7740\u65b0\u6570\u636e\u7684\u6536\u96c6\uff0c\u201c\u5f53\u524d\u201d\u6700\u53ef\u80fd\u7684\u6a21\u578b\u6d41\u7ecf\u201c\u53ef\u80fd\u6a21\u578b\u201d\u7684\u7a7a\u95f4\uff0c\u6d41\u5411\u771f\u6b63\u8d1f\u8d23\u751f\u6210\u89c2\u6d4b\u6570\u636e\u7684\u6982\u7387\u5206\u5e03\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u8fd9\u4e00\u89c2\u5bdf\u6fc0\u53d1\u4e86\u8fd9\u6837\u4e00\u79cd\u60f3\u6cd5\uff0c\u5373\u91cd\u6574\u5316\u7fa4\u6d41\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4e0e\u52a8\u6001\u8d1d\u53f6\u65af\u8fc7\u7a0b\u7684\u201c\u9006\u201d\u8fc7\u7a0b\uff0c\u524d\u8005\u5c06\u6570\u636e\u751f\u6210\u6a21\u578b\u964d\u4f4e\u5230\u8fd1\u4f3c\u6a21\u578b\uff0c\u540e\u8005\u5c06\u8fd1\u4f3c\u6a21\u578b\u5e26\u56de\u6570\u636e\u751f\u6210\u6a21\u578b\u3002<\/span><\/section>\n

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    Berman D S, Klinger M S, Stapleton A G. Bayesian Renormalization[J]. arXiv preprint arXiv:2305.10491, 2023.<\/p>\n<\/section>\n<\/blockquote>\n


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    9. \u91cd\u6574\u5316\u8bad\u7ec3\u4e0e\u91c7\u6837\u751f\u6210\u8fc7\u7a0b<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    \u91cd\u6574\u5316\u7fa4\u4e0e\u751f\u6210\u5f0fAI<\/span><\/a>\uff0c\u6587\u4e2d\u8bb2\u5230\uff0c\u5982\u679c\u7528Z\u4ee3\u8868\u4e00\u5f20\u8138\uff0c\u501f\u52a9\u6211\u4eec\u521a\u624d\u5b66\u4f1a\u7684\u7fa4\u7684\u6570\u5b66\u5f62\u5f0f\u53ef\u4ee5\u8868\u8fbe\u4e3a\uff1a<\/span>G(Z) = G1G2G3G\u2026Gn( Z )\u3002\u8fd9\u91cc\u7684G1\u5230Gn\u5bf9\u5e94\u4e0d\u540c\u5c42\u6b21\u4e0aOperation \u6216\u8005\u8bf4Transformation\uff0c\u4e5f\u5c31\u662f\u5728\u5404\u4e2a\u5c42\u6b21\u7684\u6f5c\u53d8\u91cf<\/span>\uff08\u201c\u773c\u89d2\u3001\u7709\u68a2\u3001\u5230\u989d\u5934\u3001\u4e94\u5b98\uff0c\u8138\u578b\uff0c\u795e\u6001\u201d\uff09<\/span>\u6784\u6210\u7684\u65b0\u5750\u6807\u7cfb\u91cc\u9762\u7684\u77e9\u9635\u4ee3\u8868\u7684\u53d8\u6362\uff0c\u4e00\u5982\u4fc4\u7f57\u65af\u5957\u5a03\u3002<\/span><\/section>\n

    <\/span><\/section>\n
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    <\/span><\/section>\n
    \u5bf9\u4e00\u5f20\u56fe\u50cf\uff0c\u91cd\u6574\u5316\u4ece\u7ec6\u9897\u7c92\u5ea6\u5230\u7c97\u9897\u7c92\u5ea6\uff0c\u9010\u5c42\u63d0\u53d6\u6f5c\u53d8\u91cfZn, \u63d0\u53d6\u56fe\u50cf\u4e2d\u8574\u542b\u7684\u5404\u5c42\u6b21\u7684\u7ed3\u6784\uff1b\u800c\u751f\u6210\u56fe\u50cf\u7684\u8fc7\u7a0b\u5c31\u662f\u4ece\u7c97\u7c92\u5ea6\uff0c\u5bf9\u6f5c\u53d8\u91cf\u7684\u9ad8\u65af\u6982\u7387\u5206\u5e03\u8fdb\u884c\u91c7\u6837\uff0c\u91cd\u5efa\u4e0b\u4e00\u4e2a\u5c42\u6b21\u7684\u7ed3\u6784\uff08\u7c7b\u4f3c\u4f60\u8ddf\u522b\u4eba\u63cf\u8ff0\u8fd9\u4e2a\u4eba\u6d53\u7709\u5927\u773c\uff09\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u91cd\u6574\u5316\u7684\u7fa4\u53d8\u6362 Gn \u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u7528\u5230 Gn \u7684\u9006\u3002GPT \u548c\u5176\u4ed6\u5927\u8bed\u8a00\u6a21\u578b\u7684\u4f7f\u7528\u7684Transformer\u5176\u5b9e\u5c31\u53ef\u4ee5\u7c7b\u6bd4\u8fd9\u4e9b\u91cd\u6574\u5316\u7684\u7fa4\u53d8\u6362G\uff0c\u4f46\u662f\u76ee\u524d\u6ca1\u6709\u770b\u5230\u5b66\u672f\u7814\u7a76 Transformer \u662f\u5426\u4e25\u683c\u6709\u9006\uff0c\u4e5f\u5c31\u662f\u662f\u5426\u6784\u6210\u4e25\u683c\u610f\u4e49\u4e0a\u7684\u7fa4\u3002OpenAI\u5e94\u8be5\u662f\u627e\u5230\u4e86\u8fd9\u4e2a\u9006\u3002\u8fd9\u662f\u732b\u5e08\u5085\u6ca1\u6709\u4ea4\u7ed9\u864e\u5f92\u5f1f\u7684\u7edd\u62db\u3002<\/span><\/section>\n

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    Hu H Y, Wu D, You Y Z, et al. RG-Flow: A hierarchical and explainable flow model based on renormalization group and sparse prior[J]. Machine Learning: Science and Technology, 2022, 3(3): 035009.<\/p>\n<\/section>\n<\/blockquote>\n


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    10. \u91cd\u6574\u5316\u7fa4\u6d41\u4f5c\u4e3a\u6700\u4f18\u8f93\u8fd0<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    \u91cd\u6574\u5316\u7fa4\u6d41\u4f5c\u4e3a\u6700\u4f18\u8f93\u8fd0<\/span><\/a>\uff0c\u54c8\u4f5b<\/span>\u5927\u5b66\u4e24\u4f4d\u5b66\u8005\u7684RGF-OT\u8fd9\u7bc7\u6587\u7ae0\uff0c\u4ed6\u4eec\u4e0d\u4ec5\u786e\u5b9a\u4e86\u7cbe\u786e\u91cd\u6574\u5316\u7fa4\u6d41\u7684\u65b9\u7a0b\u7b49\u6548\u4e8e\u573a\u7684\u76f8\u5bf9\u71b5\u7684\u6700\u4f18\u8f93\u8fd0\u68af\u5ea6\u6d41\uff0c\u8fd8\u5de7\u5999\u7684\u4f7f\u7528\u6700\u4f18\u8f93\u8fd0\u7684\u601d\u60f3\u5c06\u91cd\u6574\u5316\u7fa4\u8f6c\u5316\u4e3a\u53d8\u5206\u95ee\u9898\uff0c\u8fd9\u79cdRG\u7684\u53d8\u5206\u5f62\u5f0f\u9664\u4e86\u5177\u6709\u7406\u8bba\u610f\u4e49\u5916\uff0c\u8fd8\u53ef\u7528\u4e8e\u8bbe\u8ba1\u8ba1\u7b97\u4f20\u7edf\u573a\u7684\u91cd\u6574\u5316\u7fa4\u6d41\u7684\u795e\u7ecf\u7f51\u7edc\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5c3a\u5ea6\u53d8\u6362\u7684\u6bcf\u4e00\u6b65\uff0cRG Flow \u7684\u6d41\u5411\uff0c\u90fd\u5c06\u4f1a\u6cbf\u7740\u6700\u4f18\u8f93\u8fd0\u7684\u65b9\u5411\u8fdb\u884c\uff0c\u4e5f\u5c31\u662f\u7269\u7406\u91cf\u7684 RG Flow \u5c3a\u5ea6\u53d8\u6362\u524d\u7684\u6982\u7387\u5206\u5e03\u4e0e\u5c3a\u5ea6\u53d8\u6362\u540e\u7684\u6982\u7387\u5206\u5e03\u7684\u8ddd\u79bb\u6700\u8fd1\u7684\u65b9\u5411\uff0c\u800c\u8fd9\u5c31\u662f Wasserstein \u8ddd\u79bb\u51b3\u5b9a\u7684\u65b9\u5411\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    Wasserstein \u8ddd\u79bb\u662f\u6982\u7387\u5206\u5e03\u7a7a\u95f4\u4e0a\u7684\u8ddd\u79bb\u5ea6\u91cf\uff0c\u5728\u6700\u4f18\u8f93\u8fd0\u4e2d\u8d77\u7740\u6838\u5fc3\u4f5c\u7528\uff0c\u7528\u4e8e\u8861\u91cf\u4e24\u4e2a\u6982\u7387\u5206\u5e03\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u4e16\u754c\u7684\u4e0d\u65ad\u6f14\u8fdb\uff0c\u90fd\u662f\u51a5\u51a5\u4e2d\u9075\u5faa\u6700\u5c0f\u5316\u5404\u79cd\u4ee3\u4ef7\u6216\u6210\u672c\u7684\u65b9\u5f0f\u8fdb\u884c\uff0c\u6700\u4f18\u8f93\u8fd0\u67d0\u79cd\u610f\u4e49\u4e0a\u662f\u81ea\u7136\u6f14\u5316\u7684\u5fc5\u7136\u65b9\u5411\u548c\u51c6\u5219\u3002<\/span><\/section>\n

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    Cotler J, Rezchikov S. Renormalization group flow as optimal transport[J]. Physical Review D, 2023, 108(2): 025003.<\/p>\n<\/section>\n<\/blockquote>\n


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    11.  \u5927\u6a21\u578b\u7684\u6570\u5b66\u7269\u7406\u8ba4\u77e5\u6846\u67b6<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    \u5927\u6a21\u578b\u7684\u5e7b\u89c9\uff0c\u89e3\u94c3\u8fd8\u987b\u7cfb\u94c3\u4eba<\/span><\/a>\uff0c\u6587\u4e2d\u603b<\/span>\u7ed3\u4e86\u7b14\u8005\u5bf9\u5927\u6a21\u578b\u7684\u6570\u7406\u8ba4\u77e5\u6846\u67b6\u3002<\/span><\/section>\n

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    \u6d77\u91cf\u7684\u6587\u672c\u6216\u8005\u591a\u6a21\u6001\u8bed\u6599\u7ec4\u6210\u4e86\u5927\u6a21\u578b\u9700\u8981\u8ba4\u77e5\u7684\u5916\u90e8\u4e16\u754c\u7684\u57fa\u672c\u4fe1\u606f\uff1b\u5d4c\u5165\u6784\u5efa\u9ad8\u7ef4\u6982\u7387\u5316\u7684\u8bed\u8a00\u7a7a\u95f4\uff0c\u7528\u6765\u5efa\u6a21\u8bed\u8a00\u6587\u5b57\u56fe\u50cf\u4ee5\u53ca\u97f3\u89c6\u9891\uff0c\u5e76\u5bf9\u8fde\u7eed\u53d8\u91cf\u505a\u79bb\u6563\u5316\uff0c\u4f8b\u5982\u65f6\u95f4\u5e8f\u5217\uff0c \u4eba\u8111\u53ef\u80fd\u5e76\u4e0d\u9700\u8981\u79bb\u6563\u5316\u3002<\/span><\/section>\n

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    \u9884\u8bad\u7ec3\u4ee5\u91cd\u6574\u5316\u7fa4\u6d41\u7684\u65b9\u5f0f\u8fdb\u884c\uff0c\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0a\u63d0\u70bc\u8bed\u6599\u6570\u636e\u4e2d\u7684\u4fe1\u606f\u6982\u7387\u5206\u5e03\uff1b\u91cd\u6574\u5316\u7fa4\u6d41\u7684\u6bcf\u4e00\u6b65\u6d41\u52a8<\/span>\uff08\u81ea\u56de\u5f52\u9884\u6d4b\u903c\u8fd1\u8bad\u7ec3\u8bed\u6599\u6982\u7387\u5206\u5e03\uff09<\/span>\uff0c\u90fd\u6cbf\u7740\u6700\u4f18\u8f93\u8fd0\u7684\u6210\u672c\u6700\u4f4e\u65b9\u5411\u8fdb\u884c\u3002<\/span><\/section>\n

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    \u91cd\u6574\u5316\u7fa4\u5728\u4e0d\u52a8\u70b9\u9644\u8fd1\u56e0\u65b0\u8bed\u6599\u5e26\u6765\u5fae\u6270\u800c\u53d1\u751f\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u6ed1\u5165\u4e0d\u540c\u7684\u76f8\u7a7a\u95f4\uff1b\u4e0d\u540c\u7684\u76f8\u7a7a\u95f4\uff0c\u5bf9\u5e94\u67d0\u79cd\u610f\u4e49\u4e0a\u7684\u8303\u7574\uff0c\u53ef\u5f62\u8c61\u5316\u4e3a\u4fe1\u606f\u7684\u7ed3\u6676\uff1b\u8fd9\u662f\u5927\u6a21\u578b\u4ece\u8bed\u6599\u4e2d\u5b66\u5230\u7684\u5185\u90e8\u4e16\u754c\u6a21\u578b\u3002<\/span><\/section>\n

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    \u5728\u5916\u90e8\u611f\u5b98\u8f93\u5165\u4e0b<\/span>\uff08\u88ab\u63d0\u793a\u7f6e\u4e8e\u67d0\u79cd\u4e0a\u4e0b\u6587\uff09<\/span>\uff0c\u5927\u6a21\u578b\u5185\u90e8\u5c06\u9650\u5b9a\u5728\u76f8\u5e94\u7684\u9ad8\u7ef4\u8bed\u8a00\u6982\u7387\u7a7a\u95f4\u7684\u5b50\u7a7a\u95f4\u5185\u63a8\u7406\uff1b\u63a8\u7406\u662f\u5728\u5b50\u7a7a\u95f4\u4e2d\u91c7\u6837\uff0c\u7c7b\u6bd4\u63a8\u7406\u65f6\u8de8\u8303\u7574\u91c7\u6837\uff1b\u91c7\u6837\u4e0d\u65ad\u8fdb\u884c\uff0c\u57fa\u4e8e\u5185\u90e8\u6982\u7387\u5316\u4e86\u7684\u4e16\u754c\u6a21\u578b<\/span>\uff08\u9884\u8bad\u7ec3\u83b7\u5f97\u7684\u5148\u9a8c\uff09<\/span>\uff0c\u9488\u5bf9\u611f\u5b98\u8f93\u5165<\/span>\uff08\u63d0\u793a\uff09<\/span>\uff0c\u505a\u53d8\u5206\u63a8\u65ad\uff0c\u6700\u5c0f\u5316\u81ea\u7531\u80fd\uff0c\u83b7\u53d6\u6700\u4f73\u91c7\u6837\u5206\u5e03q*\uff0c\u4f5c\u4e3a\u5bf9\u5bfc\u81f4\u611f\u5b98\u8f93\u5165\u7684\u5916\u90e8\u540e\u9a8c\u7684\u9884\u6d4b\u3002<\/span><\/section>\n

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    12. \u8303\u7574\u7684\u76f8\u53d8\u4e0e\u77e5\u8bc6\u7684\u5f62\u6210<\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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    \u8303\u7574\u7684\u76f8\u53d8\u4e0e\u77e5\u8bc6\u7684\u5f62\u6210<\/span><\/a>\uff0c\u5f15\u7528\u4e86<\/span>\u4e07\u5b57\u957f\u6587\u4ecb\u7ecd\u4e3a\u5927\u8bed\u8a00\u6a21\u578b\u5efa\u7acb\u7684\u201c\u8bed\u8a00\u3001\u7edf\u8ba1\u548c\u8303\u7574\u201d\u6570\u5b66\u6846\u67b6<\/span><\/a>\u6587\u4e2d\u7684\u603b<\/span>\u7ed3\uff1a\u8bed\u8a00\u8303\u7574\u4e2d\u7684\u5bf9\u8c61\u662f\u8bed\u8a00\u4e2d\u7684\u8868\u8fbe\u5f0f\uff0c\u8868\u8fbe\u5f0f\u4e4b\u95f4\u7528\u591a\u5934\u6ce8\u610f\u529b\u6355\u6349\u7684\u6982\u7387\u8868\u5f81\u5173\u7cfb\uff0c\u6784\u6210\u6982\u7387\u4e30\u5bcc\u8303\u7574\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u4ed4\u7ec6\u89c2\u5bdf\u8fd9\u4e2a\u7528\u6982\u7387\u4e30\u5bcc\u5316\u4e86\u7684\u8303\u7574\uff0c\u7531\u8282\u70b9\u548c\u8282\u70b9\u4e4b\u95f4\u7684\u8fb9\u6784\u6210\uff0c\u8282\u70b9\u4e0e\u8fb9\u7684\u6982\u7387\u7531\u91cd\u6574\u5316\u7fa4\u6d41\u7684\u5b66\u4e60\u8fc7\u7a0b\uff0c\u901a\u8fc7\u4f8b\u5982Transformer\u7684\u6ce8\u610f\u529b\u673a\u5236\u63d0\u53d6\u3002\u4e0d\u65ad\u8bad\u7ec3\uff0c\u4e0d\u65ad\u63d0\u53d6\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5f53\u8fb9\u7684\u6570\u91cf\u5c11\u65f6\uff0c\u8303\u7574\u4e2d\u4ec5\u6709\u5c0f\u90e8\u4ef6\uff1b\u66f4\u591a\u8bad\u7ec3\uff0c\u66f4\u591a\u7684\u5173\u7cfb\u88ab\u6ce8\u610f\u529b\u6355\u6349\uff0c\u751f\u6210\u66f4\u591a\u7684\u8fb9\uff0c\u5927\u90e8\u4ef6\u5f00\u59cb\u51fa\u73b0\uff1b\u6301\u7eed\u5b66\u4e60\uff0c\u6700\u7ec8\u53ef\u4ee5\u5c06\u51e0\u4e4e\u6240\u6709\u8282\u70b9\u8fde\u7ed3\u5728\u4e00\u8d77\u3002\u91cd\u6574\u5316\u7fa4\u6d41\u4e00\u5c42\u5c42\u63d0\u53d6\u8bed\u6599\u4e2d\u7684\u6f5c\u53d8\u91cf\u548c\u6f5c\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u6f5c\u53d8\u91cf\u5f62\u6210\u6982\u7387\u4e30\u5bcc\u8303\u7574\u4e2d\u7684\u8282\u70b9\uff0c\u800c\u6f5c\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u5f62\u6210\u8be5\u8303\u7574\u4e2d\u6982\u7387\u8868\u5f81\u7684\u8fb9\u3002\u8fd9\u662f\u4e00\u4e2a\u968f\u673a\u7684\u751f\u6210\u8fc7\u7a0b\u3002<\/span><\/section>\n

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    \u91cd\u6574\u5316\u7fa4\u6d41\u751f\u6210\u6982\u7387\u4e30\u5bcc\u8303\u7574\u7684\u8fc7\u7a0b\uff0c\u4ece\u4e0a\u6587\u63cf\u8ff0\u770b\uff0c\u7279\u70b9\u7b26\u5408\u7c7b\u4f3c Erd\u0151s-R\u00e9nyi \u751f\u6210\u968f\u673a\u56fe<\/span>\uff08Random Graph\uff09<\/span>\u7684\u968f\u673a\u8fc7\u7a0b\uff0c\u53ea\u4e0d\u8fc7\u66f4\u52a0\u5e9e\u5927\u800c\u4e14\u590d\u6742\u7684\u975e\u540c\u8d28\u968f\u673a\u56fe\u3002\u968f\u673a\u56fe\u662f\u8bb8\u591a\u590d\u6742\u7cfb\u7edf\u7684\u57fa\u7840\uff0c\u4e25\u683c\u6620\u5c04\u5230\u968f\u673a\u56fe\uff0c\u8bc1\u660e\u540c\u6784\uff0c\u53ef\u4ee5\u786e\u5b9a\u7cfb\u7edf\u5c06\u53d1\u751f\u76f8\u53d8\u3002\u540c\u6837\uff0c \u975e\u540c\u8d28\u968f\u673a\u56fe\u76f8\u53d8\u4e5f\u5df2\u7ecf\u88ab\u7406\u8bba\u4e0a\u8bc1\u660e\u3002<\/span><\/section>\n

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    \u4e3b\u8981\u53c2\u8003\u6587\u732e<\/strong><\/span><\/section>\n

    1. \u859b\u5b9a\u8c14 \u300aWhat is Life?\u300b https:\/\/www.cambridge.org\/core\/books\/what-is-life\/A876185F2DB06FF5C2CC67C9A60DAD7F<\/span><\/p>\n

    2. Karl Friston “The free-energy principle” https:\/\/www.nature.com\/articles\/nrn2787<\/span><\/p>\n

    3. Ashish Vaswani, et al.  “Attention Is All You Need”  https:\/\/arxiv.org\/abs\/1706.03762<\/span><\/p>\n

    4. Philip W. Anderson “More Is Different” https:\/\/www.science.org\/doi\/10.1126\/science.177.4047.393<\/span><\/p>\n

    5. Robert Kolenkow\u300aAn Introduction to Groups and their Matrices for Science Students\u300bhttps:\/\/assets.cambridge.org\/97811088\/31086\/frontmatter\/9781108831086_frontmatter.pdf<\/span><\/p>\n

    6. Hong-Ye Hu, et al. “RG-Flow: A hierarchical and explainable flow model based on renormalization group and sparse prior” https:\/\/arxiv.org\/abs\/2010.00029<\/span><\/p>\n

    7. Jordan Cotler, et al. “Renormalization Group Flow as Optimal Transport”  https:\/\/arxiv.org\/abs\/2202.11737<\/span><\/p>\n

    8. David S. Berman, et al. “Bayesian Renormalization”  https:\/\/arxiv.org\/abs\/2305.10491<\/span><\/p>\n

    9. Tai-Danae Bradley, et al. “An Enriched Category Theory of Language” https:\/\/arxiv.org\/abs\/2106.07890<\/span><\/p>\n


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    \u738b\u5e86\u6cd5<\/span><\/strong>\uff0c\u4e8c\u5341\u591a\u5e74\u4ece\u4e8b\u6570\u636e\u4e0e\u5206\u6790\u9886\u57df\u5de5\u4f5c\uff0c\u5148\u540e\u670d\u52a1\u4e8e IBM\uff0c\u5fae\u8f6f\uff0c\u4e9a\u9a6c\u900a\u7b49\u4f01\u4e1a\u7814\u53d1\u90e8\u95e8\u3002\u73b0\u4e3a\u4e16\u754c500\u5f3a\u9f99\u5934\u7535\u5b50\u5236\u9020\u4f01\u4e1a\u6570\u5b57\u5316\u8f6c\u578b\u7684\u6280\u672f\u548c\u5206\u6790\u8d1f\u8d23\u4eba\u3002\u957f\u671f\u7814\u7a76\u6df1\u5ea6\u5b66\u4e60\u3001\u795e\u7ecf\u7f51\u7edc\u3001\u4ee5\u53ca\u73b0\u5728\u5927\u6a21\u578b\u7684\u6570\u5b66\u7269\u7406\u539f\u7406\u3002\u4e2a\u4eba\u516c\u4f17\u53f7\u201c\u6e05\u7199\u201d\u7684\u4f5c\u8005\u3002<\/span><\/p>\n


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    \u738b\u5e86\u6cd5\u8001\u5e08\u5728\u300cGPT4 \u6280\u672f\u539f\u7406\u300d\u7684\u7cfb\u5217\u6587\u7ae0\u4e2d\uff0c\u6df1\u5ea6\u89e3\u6790\u4e86 ChatGPT \u83b7\u5f97\u667a\u80fd\u7684\u6570\u5b66\u7269\u7406\u673a\u7406\uff1a<\/span><\/p>\n