{"id":44800,"date":"2023-09-01T16:43:23","date_gmt":"2023-09-01T08:43:23","guid":{"rendered":"https:\/\/swarma.org\/?p=44800"},"modified":"2023-09-01T16:43:23","modified_gmt":"2023-09-01T08:43:23","slug":"ai-%e8%bf%98%e9%9c%80%e8%a6%81%e7%90%86%e8%ae%ba%e4%b9%88%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=44800","title":{"rendered":"AI \u8fd8\u9700\u8981\u7406\u8bba\u4e48\uff1f"},"content":{"rendered":"
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Knuth, Donald E. \u201cThe Toilet Paper Problem<\/strong>.\u201d The American Mathematical Monthly<\/em>, vol. 91, no. 8, 1984, pp. 465\u201370. JSTOR<\/em><\/p>\n

https:\/\/doi.org\/10.2307\/2322567<\/p>\n

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\u6211\u8ba4\u4e3a\uff0c\u4e16\u754c\u4e0a\u7684\u7406\u8bba\u5927\u4f53\u53ef\u4ee5\u5206\u4e3a\u4e24\u79cd\uff0c\u767b\u5c71\u5f0f\u7406\u8bba\u548c\u94fa\u8def\u5f0f\u7406\u8bba\u3002<\/span><\/section>\n

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\u767b\u5c71\u5f0f\u7406\u8bba<\/span><\/strong><\/span><\/h3>\n


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1. \u5236\u5b9a\u89c4\u5212<\/strong>\u3002\u767b\u5c71\u4e4b\u8def\u8fc7\u4e8e\u6f2b\u957f\uff0c\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u51e0\u4e2a\u91cd\u8981\u7684\u8282\u70b9\uff0c\u628a\u767b\u5c71\u4e4b\u8def\u62c6\u5206\u6210\u51e0\u4e2a\u4e0d\u540c\u7684\u9636\u6bb5\uff0c\u6bcf\u6b21\u5904\u7406\u5176\u4e2d\u7684\u4e00\u4e2a\u9636\u6bb5\u3002\u8fd9\u6837\uff0c\u628a\u4e00\u4e2a\u590d\u6742\u7684\u95ee\u9898\u62c6\u5206\u6210\u5f88\u591a\u7b80\u5355\u7684\u95ee\u9898\uff0c\u5f80\u5f80\u5c31\u4f1a\u5bb9\u6613\u5f88\u591a\u3002<\/span><\/p>\n

2. \u52a0\u5047\u8bbe<\/strong>\u3002\u4e00\u65e6\u5236\u5b9a\u4e86\u660e\u786e\u7684\u767b\u9876\u76ee\u6807\uff0c\u7406\u8bba\u5206\u6790\u7684\u96be\u5ea6\u5c31\u5bb9\u6613\u53d7\u5230\u5f71\u54cd\u3002\u5f88\u591a\u5730\u65b9\u4e0d\u662f\u9760\u5236\u5b9a\u89c4\u5212\u5c31\u53ef\u4ee5\u89e3\u51b3\u7684\uff0c\u6709\u7684\u6b65\u9aa4\u4f60\u4e0d\u5f97\u4e0d\u7528\u4e00\u4e9b\u5de5\u5177\uff0c\u6bd4\u5982\u7ef3\u7d22\u3001\u76f4\u5347\u673a\u3001\u6728\u677f\u7b49\u7b49\u624d\u80fd\u8fc7\u53bb\u3002\u8fd9\u6837\u7684\u5de5\u5177\u5728\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5708\u5c31\u662f\u52a0\u5047\u8bbe\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u8f93\u5165x\u670d\u4ece\u9ad8\u65af\u5206\u5e03\uff0c\u53ef\u4ee5\u5047\u8bbe\u76ee\u6807\u51fd\u6570\u662f\u5149\u6ed1\u7684\u3001Lipschitz\u7684\u7b49\u7b49\u3002<\/span><\/section>\n

<\/section>\n
\u5728\u5f88\u591a\u673a\u5668\u5b66\u4e60\u7406\u8bba\u7684\u8bba\u6587\u4e2d\uff0c\u5047\u8bbe\u7684\u9009\u53d6\u662f\u6838\u5fc3\u827a\u672f<\/strong>\u3002\u5982\u679c\u5047\u8bbe\u592a\u5f3a\u4e86\uff0c\u6bd4\u5982\u6211\u4eec\u4f7f\u7528\u4e86\u4f20\u9001\u5668\u76f4\u63a5\u4f20\u5230\u4e86\u5c71\u9876\uff0c\u90a3\u4e48\u6574\u4e2a\u767b\u5c71\u8def\u7ebf\u663e\u5f97\u7d22\u7136\u65e0\u5473\u3002\u5982\u679c\u5047\u8bbe\u592a\u5f31\u4e86\uff0c\u6bd4\u5982\u6211\u4eec\u8fde\u7ef3\u7d22\u90fd\u4e0d\u51c6\u7528\uff0c\u90a3\u4e48\u5c31\u4f1a\u53d1\u73b0\u722c\u6765\u722c\u53bb\u722c\u4e0d\u5230\u5c71\u9876\u3002\u95ee\u9898\u662f\uff0c\u8fd9\u4e9b\u7528\u4e8e\u767b\u9876\u7684\u5047\u8bbe\uff0c\u5728\u5b9e\u9645\u4e2d\u5f80\u5f80\u662f\u4e0d\u5b8c\u5168\u6210\u7acb\u7684\uff1b\u6216\u8005\u8bf4\uff0c\u5c31\u7b97\u6210\u7acb\uff0c\u53ef\u80fd\u4e5f\u53ea\u8986\u76d6\u4e86\u4e00\u4e2a\u5f88\u5c0f\u7684\u90e8\u5206\uff0c\u4e0d\u80fd\u591f\u771f\u6b63\u7528\u4e8e\u89e3\u91ca\u548c\u5206\u6790\u5b9e\u9645\u7684AI\u7b97\u6cd5\u3002<\/span><\/section>\n

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\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u89c2\u5bdf\u5230\u4e86LayerNorm\u5728\u5b9e\u9645\u7b97\u6cd5\u4e2d\u6548\u679c\u5f88\u597d\uff0c\u4e8e\u662f\u6211\u4eec\u51b3\u5b9a\u628aLN\u7684\u5206\u6790\u5f53\u505a\u6211\u4eec\u7684\u5c71\u9876\u53bb\u6500\u767b\u3002\u53ef\u662f\uff0c\u5b9e\u9645\u7684\u6570\u636e\u5206\u5e03\u5230\u5e95\u957f\u4ec0\u4e48\u6837\u5b50\uff1f\u6211\u4eec\u53ef\u80fd\u4e0d\u5f97\u4e0d\u5047\u8bbe\u6570\u636e\u670d\u4ece\u9ad8\u65af\u5206\u5e03\u3002\u635f\u5931\u51fd\u6570\u6ee1\u8db3\u4ec0\u4e48\u6027\u8d28\uff1f\u6211\u4eec\u53ef\u80fd\u9700\u8981\u5047\u8bbe\u5b83\u662f\u5149\u6ed1\u7684\u3002\u7f51\u7edc\u7ed3\u6784\u662f\u4ec0\u4e48\u6837\u5b50\uff1f\u6211\u4eec\u53ef\u80fd\u9700\u8981\u5047\u8bbe\u5b83\u662f\u4e00\u4e2a\u4e24\u5c42\u6216\u8005\u4e09\u5c42\u7684\u7f51\u7edc\uff0c\u56e0\u4e3a\u7f51\u7edc\u5c42\u6570\u4e00\u591a\u5206\u6790\u8d77\u6765\u5c31\u975e\u5e38\u56f0\u96be\u3002\u4f18\u5316\u7b97\u6cd5\u7684\u6b65\u957f\u662f\u591a\u5c11\uff1f\u6211\u4eec\u53ef\u80fd\u9700\u8981\u5047\u8bbe\u5b83\u975e\u5e38\u5c0f\uff0c\u8fd9\u6837\u4f18\u5316\u7684\u8fc7\u7a0b\u5728\u4e00\u4e2a\u5c0f\u5c0f\u7684\u90bb\u57df\u4e2d\u624d\u4fbf\u4e8e\u5206\u6790\u3002\u8fd9\u4e9b\u5047\u8bbe\u5c31\u50cf\u662f\u767b\u5c71\u8fd0\u52a8\u5458\u7684\u5de5\u5177\u5305\u91cc\u5f62\u5f62\u8272\u8272\u7684\u5de5\u5177\uff0c\u8981\u6e05\u6670\u7406\u89e3\u5b83\u4eec\u7684\u7528\u9014\u5e76\u4e0d\u5bb9\u6613\uff0c\u628a\u5b83\u4eec\u7ec4\u5408\u8d77\u6765\u5b8c\u6210\u767b\u9876\u7684\u4efb\u52a1\u66f4\u662f\u4e00\u79cd\u58ee\u4e3e\u3002\u4f46\u662f\uff0c\u771f\u5b9e\u7684\u8bad\u7ec3\u8fc7\u7a0b\u5f80\u5f80\u548c\u8fd9\u4e9b\u5047\u8bbe\u6709\u4e00\u5b9a\u5dee\u8ddd\uff1a\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5de5\u4f5c\u6240\u6500\u767b\u7684\u5c71\u5cf0\uff0c\u66f4\u50cf\u662f\u4f5c\u8005\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u7406\u60f3\u5c71\u5cf0\uff0c\u800c\u4e0d\u662fAI\u79d1\u5b66\u5bb6\u65e5\u5e38\u771f\u6b63\u9047\u5230\u7684\u90a3\u4e9b\u3002<\/span><\/section>\n

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\u8fc7\u53bb\u5341\u5e74\uff0cAI\u9886\u57df\u84ec\u52c3\u53d1\u5c55\uff0c\u5404\u79cd\u6982\u5ff5\u5c42\u51fa\u4e0d\u7a77\u3002\u7406\u8bba\u5b66\u5bb6\u4e3a\u4e86\u7406\u89e3\u4e00\u4e2a\u6982\u5ff5\u6216\u7b97\u6cd5\uff0c\u5236\u5b9a\u4e86\u5f88\u9ad8\u7684\u767b\u5c71\u76ee\u6807\uff1b\u4f46\u662f\u9650\u4e8e\u5de5\u5177\u7684\u80fd\u529b\uff0c\u53c8\u4e0d\u5f97\u4e0d\u52a0\u4e0a\u5404\u79cd\u5047\u8bbe\u52a9\u529b\u767b\u9876\u3002\u6700\u540e\uff0c\u5f88\u591a\u7ed3\u8bba\u5357\u8f95\u5317\u8f99\uff0c\u5f97\u4e0d\u5230\u7406\u8bba\u5708\u5916\u90e8\u7684\u8ba4\u53ef\uff0c\u6211\u8ba4\u4e3a\u8fd9\u548c\u767b\u5c71\u5f0f\u7406\u8bba\u7684\u7814\u7a76\u8303\u5f0f\u662f\u8131\u4e0d\u5f00\u5173\u7cfb\u7684\u3002<\/span><\/section>\n


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\u94fa\u8def\u5f0f\u7406\u8bba<\/span><\/strong><\/span><\/h3>\n

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\u73b0\u5728\u6570\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\u4e00\u822c\u90fd\u975e\u5e38\u62bd\u8c61\uff0c\u5b9e\u4f8b\u4e5f\u5341\u5206\u62bd\u8c61\uff0c\u8ba9\u4eba\u96be\u4ee5\u7406\u89e3\u3002<\/span>\u6240\u4ee5\u4f9d\u9760\u5177\u4f53\u4e8b\u5b9e\u5f52\u7eb3\u6765\u731c\u60f3\u5b9a\u7406\u7684\u65b9\u5f0f\uff0c\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u5df2\u7ecf\u96be\u4ee5\u9002\u7528\u3002<\/span>\u76ee\u524d\u7684\u60c5\u51b5\u4e0b\uff0c\u5173\u4e8e\u53d1\u73b0\u65b0\u5b9a\u7406\u7684\u601d\u8003\u5b9e\u9a8c\u65b9\u5f0f\uff0c\u6211\u672c\u4eba\u4e5f\u662f\u4e0d\u5f97\u800c\u77e5\u3002<\/span>\u5982\u679c\u5c06\u7cbe\u529b\u90fd\u82b1\u8d39\u5728\u601d\u7d22\u65b0\u7684\u601d\u8003\u65b9\u5f0f\u4e0a\uff0c\u6050\u6015\u96be\u6709\u6240\u5f97\u3002<\/span>\u5b9e\u9645\u4e0a\u5f88\u591a\u65f6\u5019\u65e0\u8bba\u5982\u4f55\u601d\u8003\u90fd\u5f97\u4e0d\u5230\u76f8\u5e94\u7684\u7ed3\u679c\u3002<\/span>\u8fd9\u6837\u770b\u7684\u8bdd\uff0c\u662f\u5426\u53ef\u4ee5\u8bf4\u6570\u5b66\u7814\u7a76\u662f\u4e00\u4efd\u6781\u5176\u56f0\u96be\u7684\u5de5\u4f5c\u5462\uff1f<\/span>\u4e0d\u8fc7\u8fd9\u5012\u4e5f\u672a\u5fc5\u3002<\/span>\u6709\u65f6\u5019\u611f\u89c9\u81ea\u5df1\u4ec0\u4e48\u4e5f\u6ca1\u505a\uff0c\u90a3\u4e9b\u5e94\u5f53\u601d\u8003\u7684\u4e8b\u60c5\u5374\u5f88\u81ea\u7136\u5730\u5448\u73b0\u5728\u773c\u524d\uff0c\u7814\u7a76\u5de5\u4f5c\u4e5f\u5f97\u4ee5\u987a\u5229\u63a8\u8fdb\u3002<\/span><\/section>\n

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\u590f\u76ee\u6f31\u77f3\u5728\u300a\u68a6\u5341\u591c\u300b\u4e2d\u5bf9\u8fd0\u5e86\uff08\u6ce8\uff1a<\/span>\u65e5\u672c\u9570\u4ed3\u65f6\u4ee3\u7684\u9ad8\u50e7\uff0c\u96d5\u523b\u6280\u827a\u5341\u5206\u7cbe\u6e5b\uff09\u96d5\u523b\u91d1\u521a\u624b\u83e9\u8428\u50cf\u7684\u63cf\u8ff0\uff0c\u5145\u5206\u8868\u73b0\u4e86\u8fd9\u79cd\u611f\u53d7\u3002<\/span>\u8fd9\u90e8\u5206\u5185\u5bb9\u5f15\u7528\u5982\u4e0b\uff1a<\/span><\/section>\n
\u8fd0\u5e86\u5728\u91d1\u521a\u624b\u83e9\u8428\u7684\u7c97\u7709\u4e0a\u7aef\u4e00\u5bf8\u5904\u6a2a\u5411\u51ff\u523b\uff0c\u624b\u4e2d\u7684\u51ff\u5200\u5ffd\u800c\u7ad6\u7acb\uff0c\u8f6c\u800c\u81ea\u4e0a\u800c\u4e0b\u51ff\u53bb\u3002<\/span>\u51ff\u5200\u88ab\u6572\u5165\u575a\u786c\u7684\u6728\u5934\u4e2d\uff0c\u539a\u539a\u7684\u6728\u5c51\u5e94\u58f0\u98de\u843d\uff0c\u518d\u4ed4\u7ec6\u4e00\u770b\uff0c\u91d1\u521a\u624b\u83e9\u8428\u6012\u610f\u76c8\u76c8\u7684\u9f3b\u7ffc\u8f6e\u5ed3\u5df2\u6e05\u6670\u5448\u73b0\u3002<\/span>\u8fd0\u5e86\u7684\u8fd0\u5200\u65b9\u5f0f\u65e0\u62d8\u65e0\u675f\uff0c\u96d5\u7422\u8fc7\u7a0b\u4e2d\u4e1d\u6beb\u6ca1\u6709\u4efb\u4f55\u8fdf\u7591\u3002<\/span><\/em><\/section>\n
\u201c\u4ed6\u7684\u624b\u6cd5\u771f\u5982\u884c\u4e91\u6d41\u6c34\uff0c\u51ff\u5200\u6240\u5230\u4e4b\u5904\uff0c\u5c45\u7136\u90fd\u81ea\u7136\u5730\u96d5\u7422\u51fa\u4e86\u5185\u5fc3\u6240\u60f3\u7684\u7709\u6bdb\u3001\u9f3b\u5b50\u6837\u5b50\u3002<\/span>\u201d\u6211\u611f\u6168\u81f3\u6781\uff0c\u4e0d\u7981\u81ea\u8a00\u81ea\u8bed\u9053\u3002<\/span><\/em><\/section>\n
\u7ed3\u679c\uff0c\u65b9\u624d\u90a3\u4f4d\u5e74\u8f7b\u7537\u5b50\u56de\u5e94\u9053\uff1a<\/span><\/em><\/section>\n
\u201c\u4ec0\u4e48\u5440\uff0c\u90a3\u53ef\u4e0d\u662f\u51ff\u523b\u51fa\u7684\u7709\u6bdb\u3001\u9f3b\u5b50\uff0c\u800c\u662f\u7709\u6bdb\u3001\u9f3b\u5b50\u672c\u6765\u5c31\u57cb\u85cf\u5728\u6728\u5934\u4e2d\uff0c\u4ed6\u53ea\u662f\u7528\u9524\u5b50\u3001\u51ff\u5b50\u5c06\u5176\u5448\u73b0\u51fa\u6765\u3002<\/span>\u5c31\u50cf\u4ece\u6ce5\u571f\u4e2d\u6316\u51fa\u77f3\u5934\u4e00\u6837\uff0c\u5f53\u7136\u4e0d\u4f1a\u51fa\u73b0\u504f\u5dee\u3002<\/span>\u201d<\/span><\/em><\/span><\/strong><\/span><\/section>\n
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\u5728\u8fd9\u79cd\u65f6\u523b\uff0c\u6211\u5e38\u5e38\u611f\u5230\u4e16\u95f4\u6ca1\u6709\u6bd4\u6570\u5b66\u66f4\u5bb9\u6613\u7684\u5b66\u79d1\u4e86\u3002<\/span>\u5982\u679c\u9047\u5230\u4e00\u4e9b\u5b66\u751f\u5728\u72b9\u8c6b\u5c06\u6765\u662f\u5426\u4ece\u4e8b\u6570\u5b66\u65b9\u9762\u7684\u5de5\u4f5c\uff0c\u6211\u5c31\u4f1a\u60f3\u5efa\u8bae\u4ed6\u4eec\u201c\u4e00\u5b9a\u8981\u9009\u6570\u5b66\uff0c\u56e0\u4e3a\u518d\u6ca1\u6709\u6bd4\u6570\u5b66\u66f4\u5bb9\u6613\u7684\u5b66\u79d1\u4e86\u201d\u3002<\/span><\/section>\n<\/section>\n
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\u8fd9\u4e9b\u6545\u4e8b\u81ea\u7136\u6709\u8da3\uff0c\u4f46\u662f\u5982\u679c\u6ca1\u6709\u4eb2\u8eab\u4f53\u9a8c\uff0c\u6050\u6015\u4e91\u91cc\u96fe\u91cc\uff0c\u4e0d\u77e5\u6240\u4e91\u3002\u6211\u60f3\uff0c\u94fa\u8def\u5f0f\u79d1\u7814\u6700\u91cd\u8981\u7684\u4e00\u70b9\u5c31\u662f\u5b83\u6ca1\u6709\u9884\u8bbe\u7684\u76ee\u6807\uff0c\u4e0d\u4f1a\u4e3a\u4e86\u67d0\u4e2a\u76ee\u6807\u800c\u5f3a\u884c\u52a0\u5165\u5047\u8bbe\uff1b\u5b83\u66f4\u5728\u610f\u7814\u7a76\u5bf9\u8c61\u7684\u771f\u5b9e\u6027\u8d28\uff0c\u4ee5\u5e73\u5e38\u5fc3\u5fe0\u5b9e\u5730\u8bb0\u5f55\u3002\u73b0\u4ee3\u7684\u7eaf\u6570\u7814\u7a76\uff0c\u5927\u591a\u90fd\u662f\u9075\u4ece\u8fd9\u4e00\u601d\u60f3\u5411\u524d\u63a8\u8fdb\u7684\u3002<\/span><\/section>\n


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\u5de5\u7a0b\u5f0f\u7406\u8bba\u4e0e\u7406\u8bba\u5f0f\u5de5\u7a0b<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u7406\u89e3\u4e86\u767b\u5c71\u5f0f\u7406\u8bba\u548c\u94fa\u8def\u5f0f\u7406\u8bba\uff0c\u5c31\u5f88\u96be\u4e0d\u5bdf\u89c9\u5230\u8fd9\u4e24\u8005\u7684\u533a\u522b\u3002\u6211\u8ba4\u4e3a\uff0c\u767b\u5c71\u5f0f\u7406\u8bba\u662f\u4e00\u79cd\u201c\u62ab\u7740\u7406\u8bba\u5916\u8863\u7684\u5de5\u7a0b\u201d<\/strong>\u3002\u867d\u7136\u6574\u4e2a\u8bba\u6587\u5145\u6ee1\u4e86\u590d\u6742\u7684\u6570\u5b66\u7b26\u53f7\uff0c\u4f46\u662f\u5b83\u7684\u63a8\u8fdb\u76ee\u6807\u662f\u9884\u5148\u7ed9\u5b9a\u7684\uff0c\u800c\u5728\u63a8\u8fdb\u7684\u8fc7\u7a0b\u4e2d\uff0c\u53d1\u6325\u4e86\u5de5\u7a0b\u5e08\u201c\u9022\u5c71\u5f00\u8def\uff0c\u9047\u6cb3\u642d\u6865\u201d\u7684\u7279\u957f\uff0c\u5f15\u5165\u5404\u79cd\u5047\u8bbe\u4e0e\u5de5\u5177\uff0c\u628a\u6700\u540e\u7684\u76ee\u6807\u89e3\u51b3\u3002\u800c\u94fa\u8def\u5f0f\u7406\u8bba\uff0c\u5219\u662f\u4e00\u79cd\u201c\u771f\u5b9e\u7684\u7406\u8bba\u201d<\/strong>\uff0c\u56e0\u4e3a\u5b83\u66f4\u5728\u610f\u7814\u7a76\u7684\u76ee\u6807\u4e16\u754c\u7684\u6027\u8d28\uff0c\u800c\u628a\u89e3\u51b3\u95ee\u9898\u7684\u5e0c\u671b\u5bc4\u6258\u5728\u5bf9\u76ee\u6807\u4e16\u754c\u66f4\u6df1\u523b\u7684\u7406\u89e3\u57fa\u7840\u4e4b\u4e0a\u3002\u56e0\u6b64\uff0c\u6211\u59d1\u4e14\u628a\u767b\u5c71\u5f0f\u7406\u8bba\u79f0\u4e3a\u201c\u5de5\u7a0b\u5f0f\u7406\u8bba\u201d\u3002<\/span><\/section>\n

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\u65e2\u7136\u6709\u5de5\u7a0b\u5f0f\u7406\u8bba\uff0c\u81ea\u7136\u6709\u7406\u8bba\u5f0f\u5de5\u7a0b\u3002\u7406\u8bba\u5f0f\u5de5\u7a0b\uff0c\u987e\u540d\u601d\u4e49\uff0c\u5c31\u662f\u201c\u62ab\u7740\u5de5\u7a0b\u5916\u8863\u7684\u7406\u8bba\u201d\u3002\u5b83\u867d\u7136\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u90fd\u6ca1\u6709\u4f7f\u7528\u6570\u5b66\u7b26\u53f7\uff0c\u4f46\u662f\u5b83\u6ca1\u6709\u660e\u786e\u7684\u5de5\u7a0b\u76ee\u6807\uff0c\u662f\u4ee5\u201c\u94fa\u8def\u201d\u7684\u65b9\u5f0f\u63a8\u52a8\u5de5\u7a0b\u7684\u8fdb\u5c55\uff0c\u66f4\u5f3a\u8c03\u4e00\u4e2a\u95ee\u9898\u201c\u5e94\u8be5\u201d\u5982\u4f55\u89e3\u51b3\uff0c\u800c\u4e0d\u662f\u4e00\u4e2a\u95ee\u9898\u201c\u8981\u201d\u5982\u4f55\u89e3\u51b3\u3002<\/span><\/section>\n

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\u6211\u8ba4\u4e3a\uff0c\u73b0\u5728AI\u9886\u57df\u6240\u91c7\u53d6\u7684\u7814\u7a76\u65b9\u5f0f\uff0c\u5176\u5b9e\u662f\u4e00\u79cd\u5178\u578b\u7684\u7406\u8bba\u5f0f\u5de5\u7a0b\u3002\u8fd9\u4e2a\u5224\u65ad\u6709\u51e0\u4e2a\u652f\u6491\uff1a<\/span><\/p>\n

1. Pytorch\/Tensorflow \u4f5c\u4e3aAI\u5e95\u5c42\u6846\u67b6\uff0c\u628a\u6240\u6709\u7684\u51fd\u6570\u90fd\u6a21\u5757\u5316\uff0c\u505a\u8d8a\u6765\u8d8a\u9ad8\u5c42\u6b21\u7684\u5c01\u88c5\uff0c\u4f7f\u5f97\u4f7f\u7528\u7f51\u7edc\u6a21\u578b\u53d8\u5f97\u8d8a\u6765\u8d8a\u7b80\u5355\u3002\u8fd9\u4e9b\u5c01\u88c5\u672c\u8eab\u5e76\u6ca1\u6709\u5e2e\u52a9\u4eba\u4eec\u89e3\u51b3\u67d0\u4e2a\u5177\u4f53\u95ee\u9898\uff1b\u4f46\u662f\u957f\u8fdc\u6765\u770b\uff0c\u5c01\u88c5\u53ef\u4ee5\u8282\u7ea6\u4eba\u4eec\u7684\u65f6\u95f4\uff0c\u628a\u539f\u6765\u7528\u6765\u5199\u4ee3\u7801\u7684\u7cbe\u529b\u7528\u4e8e\u89e3\u51b3\u66f4\u91cd\u8981\u7684\u95ee\u9898\u4e0a\u3002\u8fd9\u5176\u5b9e\u5c31\u662f\u4e00\u79cd\u94fa\u8def\u7684\u8fc7\u7a0b\uff0c\u5c31\u597d\u50cf\u5728\u6570\u5b66\u9886\u57df\uff0c\u4ece\u6700\u7b80\u5355\u7684\u57fa\u672c\u516c\u7406\u5f00\u59cb\uff0c\u5f97\u5230\u8d8a\u6765\u8d8a\u5f3a\u5927\u7684\u7406\u8bba\u5de5\u5177\uff0c\u53ef\u4ee5\u7528\u6765\u89e3\u51b3\u8d8a\u6765\u8d8a\u96be\u7684\u95ee\u9898\u3002<\/span><\/p>\n

2. \u8fc7\u53bb\u5341\u5e74\uff0c\u4eba\u4eec\u63d0\u51fa\u4e86\u5404\u79cd\u5404\u6837\u7684\u7b97\u6cd5\uff0c\u5f88\u591a\u7b97\u6cd5\u901a\u8fc7\u4e00\u4e9b\u5de5\u7a0b\u4e0a\u7684trick\u80fd\u591f\u4e00\u65f6\u9738\u699c\uff0c\u4f46\u6700\u540e\u80fd\u771f\u6b63\u7559\u4e0b\u6765\u7684\u5f80\u5f80\u662f\u7b80\u6d01\u4f18\u96c5\u7684\u6781\u5c11\u6570\u3002\u8fd9\u4f3c\u4e4e\u5df2\u7ecf\u6210\u4e3a\u4e86AI\u7b97\u6cd5\u8bbe\u8ba1\u7684\u4e00\u79cd\u54f2\u5b66\uff1a\u5c11\u5373\u662f\u591a\u3002\u7b97\u6cd5\u7684\u6210\u529f\u4f9d\u9760\u7684\u662f\u5bf9\u7f51\u7edc\u7ed3\u6784\u548c\u6570\u636e\u7684\u7406\u89e3\uff0c\u800c\u4e0d\u662f\u5de5\u7a0b\u4e0a\u7684\u6280\u5de7\u3002<\/span><\/p>\n

3. \u5728\u9884\u8bad\u7ec3\u6a21\u578b\u9886\u57df\uff0c\u50cfSimCLR, GPT, CLIP\u7b49\u7b97\u6cd5\u7684\u8bbe\u8ba1\u7406\u5ff5\uff0c\u5747\u63a8\u5d07\u4ece\u7b2c\u4e00\u6027\u539f\u7406\u51fa\u53d1\u3001\u5927\u9053\u81f3\u7b80\u3002\u5b9e\u9645\u4e0a\uff0c\u5728\u5df2\u6709\u7684 Pytorch\/Tensorflow \u5e73\u53f0\u63d0\u4f9b\u7684\u9ad8\u5c42\u6b21\u5c01\u88c5\u57fa\u7840\u4e4b\u4e0a\uff0c\u7ed9\u5b9a\u9ad8\u8d28\u91cf\u7684\u6570\u636e\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u5f80\u5f80\u53ea\u9700\u8981\u81f3\u591a\u51e0\u767e\u884c\u4ee3\u7801\u5c31\u53ef\u4ee5\u5b9e\u73b0\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u66f4\u50cf\u662f\u54f2\u5b66\u610f\u4e49\u4e0a\u7684\u6c34\u5230\u6e20\u6210\uff0c\u800c\u4e0d\u662f\u5de5\u7a0b\u610f\u4e49\u4e0a\u7684\u7ffb\u5c71\u8d8a\u5cad\u3001\u62ab\u8346\u65a9\u68d8\u3002<\/span><\/section>\n

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\u6240\u4ee5\uff0cAI\u9886\u57df\u7684\u5b9e\u8df5\u4e4b\u8def\u8d70\u5f97\u975e\u5e38\u624e\u5b9e\u7a33\u5065\uff0c\u53cd\u800c\u662f\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5708\u52aa\u529b\u4e86\u5341\u5e74\uff0c\u5374\u6ca1\u6709\u5f62\u6210\u592a\u591a\u771f\u6b63\u7a33\u56fa\u7684\u3001\u8ba9\u4eba\u4fe1\u670d\u7684\u7406\u8bba\u57fa\u7840\u3002\u6211\u60f3\uff0c\u8fd9\u5c31\u662f\u7406\u8bba\u5f0f\u5de5\u7a0b\u548c\u5de5\u7a0b\u5f0f\u7406\u8bba\u7684\u6700\u5927\u533a\u522b\u3002<\/span><\/section>\n

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\u6700\u540e\u56de\u5230\u9898\u76ee\u3002\u65e2\u7136AI\u53d1\u5c55\u5f97\u8fd9\u4e48\u597d\uff0c\u90a3\u5b83\u8fd8\u9700\u8981<\/span>\uff08\u975e\u5de5\u7a0b\u5f0f\u7684\uff09<\/span>\u7406\u8bba\u4e48\uff1f\u6211\u8ba4\u4e3a\u5b83\u4e00\u5b9a\u8fd8\u662f\u9700\u8981\u7684\uff0c\u53ea\u662f\u6211\u4eec\u5e94\u8be5\u53cd\u7701\u4e4b\u524d\u505a\u7406\u8bba\u7684\u65b9\u5f0f\uff0c\u6452\u5f03\u767b\u5c71\u5f0f\/\u5de5\u7a0b\u5f0f\u7406\u8bba\u7684\u7814\u7a76\u8303\u5f0f\uff0c\u63a2\u7a76\u771f\u6b63\u80fd\u591f\u63cf\u7ed8\u3001\u523b\u753b\u4eba\u5de5\u667a\u80fd\u7684\u65b0\u7406\u8bba\u3002<\/span><\/section>\n

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\u672c\u6587\u9996\u53d1\u4e8e\u4f5c\u8005\u77e5\u4e4e\uff1a<\/span><\/section>\n
https:\/\/zhuanlan.zhihu.com\/p\/634193692<\/span><\/section>\n

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\u4f5c\u8005\u7b80\u4ecb<\/span><\/strong><\/span>
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\u8881\u6d0b<\/span><\/strong>\uff0c\u6e05\u534e\u5927\u5b66\u4ea4\u53c9\u4fe1\u606f\u5b66\u9662\u52a9\u7406\u6559\u6388\u30022012\u5e74\u6bd5\u4e1a\u4e8e\u5317\u4eac\u5927\u5b66\u8ba1\u7b97\u673a\u7cfb\uff0c2018\u5e74\u83b7\u5f97\u7f8e\u56fd\u5eb7\u5948\u5c14\u5927\u5b66\u8ba1\u7b97\u673a\u535a\u58eb\u5b66\u4f4d\uff0c\u5e08\u4eceRobert Kleinberg\u6559\u6388\u3002\u5728\u535a\u58eb\u671f\u95f4\uff0c\u4e8e2014\u5e74-2015\u5e74\u524d\u5f80\u5fae\u8f6f\u65b0\u82f1\u683c\u5170\u7814\u7a76\u9662\u505a\u8bbf\u95ee\u5b66\u751f\uff0c\u5e76\u4e8e2016\u5e74\u79cb\u5b63\u524d\u5f80\u7f8e\u56fd\u666e\u6797\u65af\u987f\u5927\u5b66\u505a\u8bbf\u95ee\u5b66\u751f\u30022018-2019\u5e74\u524d\u5f80\u9ebb\u7701\u7406\u5de5\u5b66\u9662\u5927\u6570\u636e\u79d1\u5b66\u5b66\u9662\uff08MIFODS\uff09\u505a\u535a\u58eb\u540e\u3002\u8881\u6d0b\u7684\u4e3b\u8981\u7814\u7a76\u65b9\u5411\u662f\u667a\u80fd\u533b\u7597\u3001AI\u57fa\u7840\u7406\u8bba\u3001\u5e94\u7528\u8303\u7574\u8bba\u3002<\/span><\/section>\n

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\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong>
<\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u6570\u5341\u5e74\u6765\uff0c\u4eba\u5de5\u667a\u80fd\u7684\u7406\u8bba\u53d1\u5c55\u548c\u6280\u672f\u5b9e\u8df5\u4e00\u76f4\u4e0e\u79d1\u5b66\u63a2\u7d22\u76f8\u4f34\u800c\u751f\uff0c\u5c24\u5176\u5728\u4ee5\u5927\u6a21\u578b\u4e3a\u4ee3\u8868\u7684\u4eba\u5de5\u667a\u80fd\u6280\u672f\u5e94\u7528\u96c6\u4e2d\u7206\u53d1\u7684\u5f53\u4e0b\uff0c\u4eba\u5de5\u667a\u80fd\u6b63\u5728\u52a0\u901f\u7269\u7406\u3001\u5316\u5b66\u3001\u751f\u7269\u7b49\u57fa\u7840\u79d1\u5b66\u7684\u9769\u65b0\uff0c\u800c\u8fd9\u4e9b\u5b66\u79d1\u4e5f\u5728\u53cd\u8fc7\u6765\u542f\u53d1\u4eba\u5de5\u667a\u80fd\u6280\u672f\u521b\u65b0\u3002\u5728\u6b64\u8fc7\u7a0b\u4e2d\uff0c\u6570\u5b66\u4f5c\u4e3a\u517c\u5177\u7406\u8bba\u5c5e\u6027\u4e0e\u5de5\u5177\u5c5e\u6027\u7684\u91cd\u8981\u57fa\u7840\u5b66\u79d1\uff0c\u4e0e\u4eba\u5de5\u667a\u80fd\u5173\u7cfb\u751a\u5bc6\uff0c\u76f8\u8f85\u76f8\u6210\u3002\u4e00\u65b9\u9762\uff0c\u4eba\u5de5\u667a\u80fd\u5728\u89e3\u51b3\u6570\u5b66\u9886\u57df\u7684\u8bf8\u591a\u5de5\u7a0b\u95ee\u9898\u3001\u7406\u8bba\u95ee\u9898\u4e43\u81f3\u5723\u676f\u96be\u9898\u4e0a\u5c61\u521b\u8bb0\u5f55\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u6570\u5b66\u6301\u7eed\u4e3a\u4eba\u5de5\u667a\u80fd\u6784\u7b51\u7406\u8bba\u57fa\u77f3\u5e76\u62d3\u5c55\u5176\u672a\u6765\u7a7a\u95f4\u3002\u8fd9\u4e24\u4e2a\u5173\u952e\u9886\u57df\u7684\u4ea4\u53c9\u878d\u5408\uff0c\u6b63\u5728\u63ed\u5f00\u4e0b\u4e2a\u65f6\u4ee3\u7684\u79d1\u5b66\u4e4b\u5e55\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u4e3a\u4e86\u63a2\u7d22\u6570\u5b66\u4e0e\u4eba\u5de5\u667a\u80fd\u6df1\u5ea6\u878d\u5408\u7684\u53ef\u80fd\u6027\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u540c\u6d4e\u5927\u5b66\u7279\u8058\u7814\u7a76\u5458\u9648\u5c0f\u6768\u3001\u6e05\u534e\u5927\u5b66\u4ea4\u53c9\u4fe1\u606f\u5b66\u9662\u52a9\u7406\u6559\u6388\u8881\u6d0b\u3001\u5357\u6d0b\u7406\u5de5\u5927\u5b66\u526f\u6559\u6388\u590f\u514b\u6797\u4e09\u4f4d\u8001\u5e08\uff0c\u5171\u540c\u53d1\u8d77\u201c\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u201d\u8bfb\u4e66\u4f1a\uff0c\u5e0c\u671b\u4ece AI\u3000for\u3000Math\uff0cMath\u3000for\u3000AI \u4e24\u4e2a\u65b9\u9762\u6df1\u5165\u63a2\u8ba8\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u7684\u5bc6\u5207\u8054\u7cfb\u3002\u672c\u8bfb\u4e66\u4f1a\u662f\u201cAI+Science\u201d\u4e3b\u9898\u8bfb\u4e66\u4f1a\u7684\u7b2c\u4e09\u5b63\u3002\u8bfb\u4e66\u4f1a\u81ea9\u670815\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a20:00-22:00\uff0c\u9884\u8ba1\u6301\u7eed\u65f6\u95f48\uff5e10\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/p>\n


<\/span><\/section>\n
<\/span><\/a><\/span><\/section>\n
\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span>
<\/section>\n

\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1aAI for Math\uff0cMath for AI<\/a><\/span><\/strong>
<\/span><\/p>\n


<\/p>\n


<\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n

1.  <\/strong><\/strong><\/a>\u63a2\u7d22\u201cAI \u5927\u7edf\u4e00\u7406\u8bba\u201d\uff1a\u79d1\u5b66\u542f\u53d1\u7684\u673a\u5668\u5b66\u4e60\u7406\u8bba<\/a><\/strong><\/strong><\/span><\/strong><\/section>\n
2.<\/strong> \u51e0\u4f55\u6df1\u5ea6\u5b66\u4e60\uff1a\u8ba9\u7269\u7406\u4e16\u754c\u62e5\u6709AI | \u9ec4\u6587\u70b3\u5206\u4eab\u6574\u7406<\/a><\/strong><\/strong><\/span><\/section>\n
3. <\/strong><\/strong>AI\u5947\u70b9\u4e34\u8fd1\uff0c\u5982\u4f55\u5524\u9192\u884c\u661f\u667a\u80fd\uff1f<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
4. <\/strong><\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/a><\/strong><\/strong><\/span><\/section>\n
5. <\/strong><\/strong>\u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/a><\/span><\/strong><\/section>\n
<\/strong><\/strong><\/strong><\/strong><\/span><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


<\/p>\n


<\/p>\n<\/section>\n

\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u52a0\u5165\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/span><\/strong><\/section>\n

<\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed AI \u9886\u57df\u7684\u5b9e\u8df5\u4e4b\u8def\u9614\u6b65\u5411\u524d\uff0c\u662f\u5426\u8fd8\u9700\u8981\u7406\u8bba\uff1f\u672c\u6587\u4f5c\u8005\u8881\u6d0b\u8ba4\u4e3a\uff0c\u4e3a\u4e86\u66f4\u597d\u5730\u6784\u5efaAI\u7406\u8bba\uff0c\u6211\u4eec\u9700\u8981\u53cd\u7701\u4e4b\u524d\u505a\u7406\u8bba\u7684\u65b9\u5f0f\uff0c\u6452\u5f03\u767b\u5c71\u5f0f\u7406\u8bba\/\u5de5\u7a0b\u5f0f\u7406\u8bba\u7684\u7814\u7a76\u8303\u5f0f\uff0c\u63a2\u7a76\u771f\u6b63\u80fd\u591f\u523b\u753b\u4eba\u5de5\u667a\u80fd\u7684\u65b0\u7406\u8bba\u3002 \u4e3a\u4e86\u63a2\u7d22\u6570\u5b66\u4e0e\u4eba\u5de5\u667a\u80fd\u6df1\u5ea6\u878d\u5408\u7684\u53ef\u80fd\u6027\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u540c\u6d4e\u5927\u5b66\u7279\u8058\u7814\u7a76\u5458\u9648\u5c0f\u6768\u3001\u6e05\u534e\u5927\u5b66\u4ea4\u53c9\u4fe1\u606f\u5b66\u9662\u52a9…<\/p>\n","protected":false},"author":0,"featured_media":44795,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/44800"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=44800"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/44800\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/44795"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=44800"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=44800"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=44800"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=44800"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}