{"id":48571,"date":"2024-02-26T18:54:16","date_gmt":"2024-02-26T10:54:16","guid":{"rendered":"https:\/\/swarma.org\/?p=48571"},"modified":"2024-02-26T18:54:16","modified_gmt":"2024-02-26T10:54:16","slug":"%e6%96%b0%e5%b9%b4%e9%9a%8f%e7%ac%94%ef%bc%9a%e4%bb%8e%e3%80%8a%e4%bd%a0%e4%b8%80%e7%94%9f%e7%9a%84%e6%95%85%e4%ba%8b%e3%80%8b%e5%88%b0%e6%8e%a7%e5%88%b6%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=48571","title":{"rendered":"\u65b0\u5e74\u968f\u7b14\uff1a\u4ece\u300a\u4f60\u4e00\u751f\u7684\u6545\u4e8b\u300b\u5230\u63a7\u5236\u8bba"},"content":{"rendered":"
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\u66f4\u6709\u610f\u601d\u7684\u662f\uff0c\u5f53\u6211\u4eec\u4f7f\u7528\u4e00\u79cd\u53eb\u505a\u201c\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u201d\u7684\u6280\u5de7\u6765\u6c42\u89e3\u6700\u5c0f\u4f5c\u7528\u91cf\u7684\u65f6\u5019\uff0c\u5219\u53ef\u4ee5\u76f4\u63a5\u5f15\u51fa\u6765\u7269\u7406\u5b66\u4e2d\u7684\u53e6\u5916\u4e00\u4e2a\u91cd\u8981\u7684\u7269\u7406\u91cf\uff0c\u8fd9\u5c31\u662f\u54c8\u5bc6\u987f\u91cf<\/strong><\/span>\uff08Hamiltonian\uff09<\/span>\uff0c\u4e5f\u5c31\u662f\u7269\u7406\u7cfb\u7edf\u7684\u603b\u80fd\u91cf\u3002\u5982\u679c\u4f60\u4e86\u89e3\u600e\u4e48\u7528\u57fa\u672c\u7684\u5fae\u79ef\u5206\u539f\u7406\u6c42\u89e3\u6700\u4f18\u5316\u95ee\u9898\uff0c\u4f60\u5c31\u4f1a\u77e5\u9053\uff0c\u5f53\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u5e26\u7ea6\u675f\u7684\u4f18\u5316\u95ee\u9898\u7684\u65f6\u5019\uff0c\u6211\u4eec\u901a\u5e38\u4f1a\u628a\u7ea6\u675f\u6761\u4ef6\u4e58\u4e0a\u4e00\u4e2a\u62c9\u683c\u6717\u65e5\u56e0\u5b50<\/span>\uff08Lagrangian factor\uff09<\/span>\u653e\u5230\u76ee\u6807\u51fd\u6570\u4e2d\u540c\u539f\u6765\u7684\u4f18\u5316\u51fd\u6570\u4e00\u8d77\u6c42\u89e3\u3002\u8fd8\u7528\u521a\u521a\u90a3\u4e2a\u88ab\u6211\u4eec\u629b\u63b7\u5230\u7a7a\u4e2d\u7684\u5c0f\u7403\u6765\u8bf4\uff0c\u5b83\u5728\u8fd0\u52a8\u7684\u8fc7\u7a0b\u4e2d\u9664\u4e86\u8bd5\u56fe\u6700\u5c0f\u5316\u5b83\u7684\u4f5c\u7528\u91cf\u4e4b\u5916\uff0c\u8fd8\u8981\u53d7\u5230\u4e00\u7cfb\u5217\u7684\u7ea6\u675f\u3002\u6bd4\u5982\uff0c\u5c0f\u7403\u7684\u8fd0\u52a8\u8f68\u8ff9\u4e0d\u80fd\u592a\u8fc7\u4efb\u610f\uff0c\u800c\u5fc5\u987b\u9075\u5faa\u4e00\u6761\u8fde\u7eed\u7684\uff0c\u53ef\u4ee5\u7531\u5fae\u5206\u65b9\u7a0b\u63cf\u8ff0\u7684\u8f68\u8ff9\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u628a\u8fd9\u4e00\u6761\u7ea6\u675f\u901a\u8fc7\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u653e\u5230\u6211\u4eec\u7684\u4f18\u5316\u76ee\u6807\u4e4b\u4e2d\u3002\u5f53\u7136\uff0c\u5728\u8fd9\u4e2a\u60c5\u5f62\u4e0b\uff0c\u56e0\u4e3a\u5c0f\u7403\u6bcf\u65f6\u523b\u90fd\u8981\u53d7\u5230\u8fde\u7eed\u6027\u7ea6\u675f\uff0c\u6240\u4ee5\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u5c31\u53d8\u6210\u4e86\u4e00\u4e2a\u8fde\u7eed\u7684\u51fd\u6570\u3002<\/span>
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\u4e8e\u662f\uff0c\u8fd9\u4e2a\u65b0\u7684\uff0c\u5305\u62ec\u4e86\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u7684\u4f18\u5316\u51fd\u6570\u5c31\u79f0\u4e3a\u54c8\u5bc6\u987f\u91cf<\/span>\uff08Hamiltonian\uff09<\/span>\uff0c\u4e5f\u5c31\u662f\u7269\u7406\u7cfb\u7edf\u4e2d\u7684\u80fd\u91cf\u3002\u5bf9\u8fd9\u4e2a\u65b0\u4f18\u5316\u95ee\u9898\u7684\u6c42\u89e3\uff0c\u6211\u4eec\u5c31\u80fd\u5f97\u5230\u4e00\u7ec4\u65b0\u7684\u65b9\u7a0b\uff0c\u8fd9\u5c31\u662f\u7269\u7406\u4e2d\u8457\u540d\u7684\u54c8\u5bc6\u987f\u65b9\u7a0b\uff0c\u800c\u901a\u8fc7\u6c42\u89e3\u8fd9\u4e9b\u54c8\u5bc6\u987f\u65b9\u7a0b\uff0c\u4e5f\u80fd\u591f\u540c\u6837\u5f97\u5230\u548c\u725b\u987f\u529b\u5b66\u4ee5\u53ca\u62c9\u683c\u6717\u65e5\u529b\u5b66\u4e00\u6a21\u4e00\u6837\u7684\u8fd0\u52a8\u8f68\u8ff9\u3002<\/span><\/section>\n


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\u7136\u800c\uff0c\u8fd9\u4e00\u5957\u4f7f\u7528\u54c8\u5bc6\u987f\u91cf\u8fdb\u884c\u6c42\u89e3\u7684\u7269\u7406\u5b66\u5c31\u88ab\u4eba\u4eec\u79f0\u4e3a\u201c<\/span>\u54c8\u5bc6\u987f\u529b\u5b66<\/strong>\u201d\u3002\u5c3d\u7ba1\u8fd9\u5957\u529b\u5b66\u5176\u5b9e\u4e0e\u725b\u987f\u529b\u5b66\u3001\u62c9\u683c\u6717\u65e5\u529b\u5b66\u7b49\u4ef7\uff0c\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u54c8\u5bc6\u987f\u529b\u5b66\u5219\u8981\u65b9\u4fbf\u5f97\u591a\uff0c\u56e0\u4e3a\u6211\u4eec\u901a\u5e38\u5f88\u5bb9\u6613\u5c31\u80fd\u5199\u51fa\u4e00\u4e2a\u7269\u7406\u7cfb\u7edf\u7684\u80fd\u91cf\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u54c8\u5bc6\u987f\u91cf\uff0c\u800c\u8fdb\u884c\u53d7\u529b\u5206\u6790\u5219\u65e2\u8fc7\u4e8e\u590d\u6742\uff0c\u53c8\u5bb9\u6613\u51fa\u9519\u3002\u66f4\u91cd\u8981\u7684\u662f\uff0c<\/span>\u65e0\u8bba\u662f\u201c\u6700\u5c0f\u4f5c\u7528\u91cf\u539f\u7406\u201d\u8fd8\u662f\u201c\u54c8\u5bc6\u987f\u529b\u5b66\u201d\uff0c\u5b83\u4eec\u90fd\u63d0\u4f9b\u4e86\u4e00\u6574\u5957\u5168\u65b0\u7684\u601d\u8003\u65b9\u6cd5\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5927\u5927\u62d3\u5c55\u4e86\u7ecf\u5178\u529b\u5b66\u7684\u5e94\u7528\u9886\u57df\uff0c\u540c\u65f6\u4e5f\u66f4\u5177\u6709\u666e\u904d\u6027\uff0c\u751a\u81f3\u53ef\u4ee5\u5f88\u65b9\u4fbf\u5730\u628a\u8fd9\u5957\u65b9\u6cd5\u6269\u5c55\u5230\u91cf\u5b50\u529b\u5b66\u7b49\u9886\u57df<\/strong>\u3002\u8fd9\u95e8\u5b66\u95ee\u5c31\u662f\u73b0\u4ee3\u5927\u5b66\u7406\u8bba\u7269\u7406\u4e13\u4e1a\u5fc5\u4fee\u7684\u56db\u5927\u529b\u5b66\u4e4b\u9996\uff1a\u201c\u5206\u6790\u529b\u5b66\u201d\u3002<\/span><\/section>\n


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\u73b0\u5728\u5927\u5bb6\u90fd\u5728\u8bf4\u201c\u8de8\u5b66\u79d1\u201d\u7814\u7a76\uff0c\u7136\u800c\uff0c\u4ec0\u4e48\u662f\u597d\u7684\u8de8\u5b66\u79d1\u7814\u7a76\u5462\uff1f\u663e\u7136\uff0c\u5e76\u4e0d\u662f\u4f60\u7b80\u5355\u5730\u628a\u4e24\u95e8\u5b66\u79d1\u7684\u6982\u5ff5\u3001\u77e5\u8bc6\u7b80\u5355\u5730\u62fc\u51d1\u5728\u4e00\u8d77\u5c31\u7b97\u8de8\u5b66\u79d1\u7814\u7a76\u4e86\u3002\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e94\u5f53\u5bf9\u4e0d\u540c\u5b66\u79d1\u7684\u77e5\u8bc6\u8fdb\u884c\u6df1\u5c42\u6b21\u7684\u6574\u5408\u3002\u800c\u8981\u60f3\u8fbe\u5230\u8fd9\u4e2a\u76ee\u7684\uff0c\u7b2c\u4e00\u6b65\u5c31\u662f\u8981\u627e\u5230\u4e0d\u540c\u5b66\u79d1\u5728\u6df1\u5c42\u6b21\u4e0a\u7684\u8054\u7cfb\u3002\u6570\u5b66\u4f5c\u4e3a\u4e00\u5207\u5b66\u79d1\u7684\u901a\u7528\u8bed\u8a00\uff0c\u663e\u7136\u975e\u5e38\u9002\u5408\u53bb\u5e72\u8fd9\u4ef6\u4e8b\u513f\u3002\u4e00\u65e6\u6211\u4eec\u7528\u6570\u5b66\u628a\u4e00\u4e2a\u7269\u7406\u95ee\u9898\u62bd\u8c61\u4e3a\u4e00\u4e2a\u7b26\u53f7\u548c\u8fd0\u7b97\u7684\u6846\u67b6\uff0c\u90a3\u4e48\u8fd9\u4e2a\u7269\u7406\u95ee\u9898\u5c31\u53ef\u4ee5\u88ab\u8fc1\u79fb\u5230\u5176\u5b83\u5b66\u79d1\u4e2d\u53bb\u4e86\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u7ed9\u4f60\u5c55\u793a\uff0c\u5982\u4f55\u628a\u201c\u6700\u5c0f\u4f5c\u7528\u91cf\u539f\u7406\u201d\uff0c\u4ee5\u53ca\u201c\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u201d\u8fd9\u5957\u6570\u5b66\u6846\u67b6\u6269\u5c55\u5230\u6700\u4f18\u63a7\u5236\u7406\u8bba\uff0c\u751a\u81f3\u88ab\u8a89\u4e3a\u201c\u65e0\u7a77\u6df1\u5ea6\u201d\u7684\u795e\u7ecf\u7f51\u7edc\u2014\u2014\u795e\u7ecf\u5fae\u5206\u65b9\u7a0b<\/span>\uff08Neural Ordinary Differential Equation\uff0c\u7b80\u79f0Neural ODE\uff09<\/span>\u4e4b\u4e0a\u3002<\/span><\/p>\n


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\u8ba9\u6211\u4eec\u56de\u5230\u6700\u5c0f\u4f5c\u7528\u91cf\u539f\u7406\u548c\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\uff0c\u4f60\u4f1a\u53d1\u73b0\uff0c\u8fd9\u5176\u5b9e\u5c31\u662f\u4e00\u4e2a\u666e\u901a\u7684\u5e26\u7ea6\u675f\u7684\u6700\u4f18\u5316\u95ee\u9898\u3002\u4f46\u4e0e\u6211\u4eec\u901a\u5e38\u6c42\u89e3\u7684\u6700\u4f18\u5316\u7565\u6709\u4e0d\u540c\u7684\u5730\u65b9\u5728\u4e8e\uff0c\u5f85\u4f18\u5316\u7684\u4e0d\u662f\u4e00\u4e2a\u6216\u591a\u4e2a\u5177\u4f53\u7684\u53d8\u91cf\uff0c\u800c\u662f\u65e0\u7a77\u591a\u4e2a\u53d8\u91cf\uff0c\u5373\u4e00\u4e2a\u6216\u591a\u4e2a\u51fd\u6570\u3002\u800c\u4f18\u5316\u95ee\u9898\u7684\u6c42\u89e3\u65b9\u6cd5\uff0c\u4e5f\u662f\u6211\u4eec\u518d\u719f\u6089\u4e0d\u8fc7\u7684\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\uff0c\u4f46\u662f\u7531\u4e8e\u7ea6\u675f\u6761\u4ef6\u4e5f\u6709\u65e0\u7a77\u591a\u4e2a\uff0c\u4e8e\u662f\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u4e5f\u88ab\u6269\u5c55\u5230\u4e86\u65e0\u7a77\u4e2a\uff0c\u4ece\u800c\u6784\u6210\u4e86\u51fd\u6570\u3002<\/span><\/p>\n


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\u4f60\u4e0d\u59a8\u91c7\u7528\u540c\u6837\u7684\u65b9\u5f0f\uff0c\u628a\u5bfc\u5f39\u7684\u98de\u884c\u52a8\u529b\u5b66\u4f5c\u4e3a\u7ea6\u675f\u6761\u4ef6\u52a0\u5165\u8fd9\u4e2a\u4f18\u5316\u95ee\u9898\u4e2d\uff0c\u4f60\u4e8e\u662f\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u65b0\u7684\u4f18\u5316\u76ee\u6807\u51fd\u6570\uff0c\u8fd9\u5728\u6570\u5b66\u4e0a\u88ab\u79f0\u4e3a\u5bf9\u5076\u51fd\u6570\uff0c\u5728\u7269\u7406\u4e0a\u79f0\u4e3a\u54c8\u5bc6\u987f\u91cf\uff0c\u5728\u6700\u4f18\u63a7\u5236\u7406\u8bba\u4e2d\u79f0\u4e3a\u201c\u5e7f\u4e49\u7684\u54c8\u5bc6\u987f\u91cf\u201d\u3002<\/span><\/p>\n


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\u6709\u8da3\u7684\u662f\uff0c\u5f53\u4f60\u6c42\u89e3\u8fd9\u4e2a\u65b0\u7684\u6cdb\u51fd\u4f18\u5316\u95ee\u9898\uff0c\u4f60\u4f1a\u5f97\u5230\u4e24\u7ec4\u5fae\u5206\u65b9\u7a0b\uff0c\u4e00\u4e2a\u662f\u6211\u4eec\u719f\u6089\u7684\u52a8\u529b\u5b66\u65b9\u7a0b\uff0c\u800c\u53e6\u4e00\u4e2a\u5219\u88ab\u79f0\u4e3a\u4f34\u968f\u65b9\u7a0b<\/span>\u3002\u90a3\u4e2a\u88ab\u6211\u4eec\u5f15\u5165\u7684\u62c9\u683c\u6717\u65e5\u7b97\u5b50\u5c31\u6210\u4e3a\u4e86\u4f34\u968f\u65b9\u7a0b\u7684\u672a\u77e5\u51fd\u6570\u3002<\/span>
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\u6709\u610f\u601d\u7684\u662f\uff0c\u8fd9\u4e2a\u4f34\u968f\u65b9\u7a0b\u7684\u521d\u59cb\u65f6\u95f4\u662f\u6574\u4e2a\u8f68\u8ff9\u7684\u7ed3\u675f\uff0c\u56e0\u6b64\uff0c\u8981\u60f3\u6c42\u89e3\u8fd9\u4e2a\u4f34\u968f\u65b9\u7a0b\uff0c\u5c31\u5fc5\u987b\u6cbf\u7740\u65f6\u95f4\u7684\u53cd\u65b9\u5411\u8fdb\u884c\u79ef\u5206\u6c42\u89e3\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u6211\u4eec\u7528\u6570\u503c\u8fed\u4ee3\u7684\u65b9\u6cd5<\/span>\uff08\u6b27\u62c9\u65b9\u6cd5\u6216Runge Kutta\u7b97\u6cd5\uff09<\/span>\u6c42\u89e3\u8fd9\u4e2a\u4f34\u968f\u65b9\u7a0b\u7684\u65f6\u5019\uff0c\u8fd9\u4e2a\u672a\u77e5\u7684\u4f34\u968f\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u7684\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u5c31\u4f1a\u6cbf\u7740\u65f6\u95f4\u53cd\u5411\u4e00\u6b65\u6b65\u5730\u8fed\u4ee3\uff0c\u8fd9\u5c31\u4eff\u4f5b\u6709\u4e00\u4e2a\u4fe1\u53f7\u662f\u53cd\u5411\u4f20\u64ad\u7684\u3002\u5982\u679c\u6211\u4eec\u518d\u5c06\u8fd9\u4e2a\u4f34\u968f\u65b9\u7a0b\u7ed3\u5408\u52a8\u529b\u5b66\u65b9\u7a0b\u4e00\u8d77\u6765\u770b\uff0c\u5c31\u4f1a\u53d1\u73b0\u4e00\u4e2a\u662f\u524d\u5411\u4f20\u64ad\uff0c\u4e00\u4e2a\u662f\u53cd\u5411\u4f20\u64ad\uff0c\u4e24\u8005\u4ea4\u4e92\u4f5c\u7528\u5c31\u53ef\u4ee5\u5f97\u5230\u6700\u7ec8\u65b9\u7a0b\u7ec4\u7684\u89e3\u3002<\/span><\/section>\n

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\u8fd9\u8ba9\u4f60\u60f3\u5230\u4e86\u4ec0\u4e48\uff1f\u662f\u4e0d\u662f\u60f3\u5230\u4e86\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u7b97\u6cd5\uff1f\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u90fd\u4f1a\u5206\u4e3a\u8fd0\u884c\u9636\u6bb5\uff0c\u8fd9\u662f\u4fe1\u53f7\u7684\u524d\u5411\u4f20\u64ad\uff0c\u53e6\u4e00\u4e2a\u5219\u662f\u8bef\u5dee\u7684\u53cd\u5411\u4f20\u64ad\uff0c\u4e24\u8005\u4e0d\u505c\u5730\u8fed\u4ee3\u5c31\u6784\u6210\u4e86\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u8457\u540d\u7684\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c<\/span>\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u8fc7\u7a0b\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u6700\u4f18\u63a7\u5236\u8fc7\u7a0b\u7684\u7ed3\u679c<\/strong>\u3002<\/span><\/section>\n

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\u8fd9\u4e00\u7ed3\u8bba\u542c\u8d77\u6765\u975e\u5e38\u7384\u5e7b\uff0c\u8fd9\u662f\u771f\u7684\u5417\uff1f\u4e8b\u5b9e\u4e0a\uff0c\u57282018\u5e74\u53d1\u8868\u7684\u4e00\u7bc7\u8bba\u6587\u5c31\u5c06\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3\u53d8\u6210\u4e86\u4e00\u4e2a\u6700\u7ec8\u6c42\u89e3\u52a8\u529b\u5b66\u65b9\u7a0b\u548c\u4f34\u968f\u65b9\u7a0b\u7684\u8fc7\u7a0b\u3002\u8fd9\u5c31\u662f\u8457\u540d\u7684 Neural ODE<\/span>\uff08\u795e\u7ecf\u5fae\u5206\u65b9\u7a0b\uff09<\/span>\u7684\u63d0\u51fa\u3002<\/span><\/section>\n

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\u6211\u4eec\u77e5\u9053\uff0c\u968f\u7740AI\u6280\u672f\u7684\u53d1\u5c55\uff0c\u4eba\u4eec\u9010\u6e10\u610f\u8bc6\u5230\uff0c\u968f\u7740\u7f51\u7edc\u5c42\u6b21\u7684\u52a0\u6df1\uff0c\u795e\u7ecf\u7f51\u7edc\u7684\u8868\u73b0\u5c31\u4f1a\u8d8a\u6765\u8d8a\u597d\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u80fd\u4e0d\u80fd\u628a\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u7684\u6df1\u5ea6\u52a0\u6df1\u5230\u65e0\u9650\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u8fd9\u5c31\u662fNeural ODE\u7684\u795e\u5947\u4e4b\u5904\u3002\u5b83\u662f\u600e\u4e48\u505a\u5230\u7684\u5462\uff1f<\/span><\/section>\n

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Chen, Ricky TQ, et al. Neural ordinary differential equations. <\/span>Advances in neural information processing systems<\/span><\/em> 31 (2018).<\/span><\/section>\n<\/section>\n<\/blockquote>\n


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\u8fdb\u4e00\u6b65\uff0c\u5047\u5982\u5c42\u6570\u6709\u5f88\u591a\uff0c\u8fd9\u4e9b\u6b8b\u5dee\u65b9\u7a0b\u5408\u5728\u4e00\u8d77\u5c31\u6784\u6210\u4e86\u4e00\u4e2a\u5fae\u5206\u65b9\u7a0b\u3002\u4e8e\u662f\uff0c\u8fd9\u5c31\u6784\u6210\u4e86Neural ODE\u7684\u6700\u57fa\u672c\u601d\u60f3\u3002<\/span><\/section>\n

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\u5177\u4f53\u6765\u8bb2\uff0c<\/span>Neural ODE\u628a\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u7684\u95ee\u9898\u770b\u6210\u4e86\u4e00\u4e2a\u6700\u4f18\u63a7\u5236\u95ee\u9898<\/strong>\u3002\u5176\u4e2d\uff0c\u76ee\u6807\u51fd\u6570\u5c31\u662f\u4f9d\u8d56\u6574\u4e2aNeural ODE\u6c42\u89e3\u8f68\u8ff9\u7684\u51fd\u6570\uff0c\u4f8b\u5982\u6700\u5c0f\u5316\u795e\u7ecf\u7f51\u7edc\u8f93\u51fa\u4e0e\u76ee\u6807\u4e4b\u95f4\u7684\u8bef\u5dee\uff0c\u5c31\u975e\u5e38\u50cf\u524d\u9762\u63d0\u5230\u7684\u5bfc\u5f39\u53d1\u5c04\u95ee\u9898\u3002\u800c\u6211\u4eec\u80fd\u591f\u8c03\u6574\u7684\u5c31\u662f\u795e\u7ecf\u7f51\u7edc\u5404\u4e2a\u5c42\u7684\u53c2\u6570\uff0c\u5b83\u80fd\u591f\u6700\u7ec8\u5f71\u54cd\u6700\u4f18\u7684\u8f68\u8ff9\u3002\u90a3\u4e48\uff0c\u600e\u4e48\u627e\u5230\u8fd9\u4e2a\u6700\u4f18\u7684\u8f68\u8ff9\u5462\uff1f\u8fd9\u5c31\u8981\u7528\u5230\u6211\u4eec\u524d\u9762\u63d0\u5230\u7684\u524d\u5411\u5fae\u5206\u65b9\u7a0b\u548c\u4f34\u968f\u5fae\u5206\u65b9\u7a0b\u4e86\u3002\u800c\u4e00\u65e6\u4f60\u628a\u8fd9\u4e2a\u4f34\u968f\u65b9\u7a0b\u79bb\u6563\u5316\uff0c\u4f60\u5c31\u4f1a\u53d1\u73b0\uff0c\u5b83\u5176\u5b9e\u5c31\u662f\u795e\u7ecf\u7f51\u7edc\u7684\u68af\u5ea6\u8fed\u4ee3\u7b97\u6cd5\uff0c\u800c\u90a3\u4e2a\u4f34\u968f\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u7684\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u5c31\u662f\u5728\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u4e2d\u53cd\u4f20\u7684\u8bef\u5dee\u3002<\/span>
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Q-Learning\u7b97\u6cd5\u7684\u6838\u5fc3\u53c8\u662f\u548c\u68af\u5ea6\u53cd\u4f20\u7b97\u6cd5\u975e\u5e38\u76f8\u4f3c\u7684\u3002\u5176\u4e2d\u4ef7\u503c\u8fed\u4ee3\u7c7b\u4f3c\u4e8e\u68af\u5ea6\u53cd\u4f20\uff0c\u5b83\u4f1a\u6cbf\u7740\u65f6\u95f4\u7684\u53cd\u65b9\u5411\u8fed\u4ee3\u3002\u53e6\u4e00\u4e2a\u5219\u662f\u6839\u636eQ\u51fd\u6570\u6b63\u5411\u7684\u51b3\u7b56\u8fc7\u7a0b\uff0c\u5b83\u4f1a\u6cbf\u7740\u65f6\u95f4\u7684\u6b63\u65b9\u5411\u8fed\u4ee3\uff0c\u4ece\u800c\u5f62\u6210\u6700\u7ec8\u7684\u884c\u52a8\u7b56\u7565\u3002\u8fd9\u5c31\u662f\u6807\u51c6\u7684\u5f3a\u5316\u5b66\u4e60\u7684\u505a\u6cd5\u3002<\/span><\/section>\n

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\u4f46\u6211\u60f3\u8bf4\u7684\u662f\uff0c\u9996\u5148\uff0c\u5f3a\u5316\u5b66\u4e60\u672c\u8eab\u5f88\u591a\u7684\u521b\u65b0\u6e90\u5934\u4e5f\u662f\u6765\u6e90\u4e8e\u63a7\u5236\u8bba\u7684\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u63a7\u5236\u8bba<\/span>\uff08cybernetics\uff09<\/span>\uff0c\u7279\u522b\u662f\u540e\u6765\u53d1\u5c55\u8d77\u6765\u7684\u63a7\u5236\u7406\u8bba<\/span>\uff08control theory\uff09<\/span>\u57fa\u672c\u4e0a\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u5957\u6570\u5b66<\/span>\u3002\u56e0\u6b64\uff0c\u5b83\u53ef\u4ee5\u628a\u5404\u5f0f\u5404\u6837\u7684\u63a7\u5236\u95ee\u9898\u5efa\u6a21\u6210\u6700\u5c0f\u7684\u6570\u5b66\u6a21\u578b\uff0c\u4ece\u800c\u65b9\u4fbf\u4f60\u8fdb\u884c\u7406\u8bba\u6c42\u89e3\u3002\u8fd9\u79cd\u80fd\u529b\u53ef\u4ee5\u8ba9\u4f60\u4e00\u4e0b\u5b50\u770b\u5230\u4e8b\u7269\u7684\u672c\u8d28\u3002<\/span><\/section>\n

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\u8fd9\u91cc\u6240\u8c13\u7684\u63a7\u5236\u8bba\uff08cybernetics\uff09\u662f\u63a7\u5236\u8bba\u7684\u521b\u59cb\u4eba\u7ef4\u7eb3\u5728\u4e8c\u5341\u4e16\u7eaa\u4e2d\u53f6\u63d0\u51fa\u7684\u4e00\u95e8\u7efc\u5408\u6027\u5b66\u79d1\u3002\u5b83\u5b9e\u9645\u4e0a\u7c7b\u4f3c\u4e8e\u4eca\u5929\u7684\u590d\u6742\u79d1\u5b66\uff0c\u51e0\u4e4e\u53ef\u4ee5\u662f\u5305\u7f57\u4e07\u8c61\u7684\u3002\u5b83\u53ef\u4ee5\u770b\u4f5c\u662f\u4eca\u5929\u7684\u4eba\u5de5\u667a\u80fd\u3001\u51b3\u7b56\u79d1\u5b66\u3001\u8ba4\u77e5\u79d1\u5b66\u7b49\u601d\u60f3\u7684\u6e90\u5934\u4e4b\u4e00\u3002<\/span><\/p>\n


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Cybernetics is a field of <\/span>systems theory that studies circular causal systems whose outputs are also inputs, such as <\/span>feedback systems. It is concerned with the general principles of circular causal processes, including in <\/span>ecological, technological, <\/span>biological, <\/span>cognitive and <\/span>social systems and also in the context of practical activities such as designing, learning, and <\/span>managing.<\/span><\/span><\/p>\n


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Control theory is an interdisciplinary field of engineering and mathematics that deals with the control of dynamical systems in engineered processes and machines.<\/span><\/span><\/p>\n<\/section>\n<\/section>\n

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1. <\/strong>\u90ed\u96f7\uff1a\u63a7\u5236\u7406\u8bba\u53d1\u5c55\u7684\u5386\u53f2\u542f\u793a<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>\u90ed\u96f7\uff1a\u4ee5\u53cd\u9988\u63a7\u5236\u201c\u5bf9\u4ed8\u201d\u667a\u80fd\u65f6\u4ee3\u4e0d\u786e\u5b9a\u6027<\/a><\/strong><\/span><\/strong><\/section>\n
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3.<\/strong><\/strong> \u7ef4\u7eb3\uff0c\u6614\u65e5\u795e\u7ae5\u548c\u6570\u5b66\u5bb6\u4e28\u9648\u5173\u8363<\/a><\/a><\/strong><\/strong><\/span><\/section>\n
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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
<\/strong><\/strong>5.<\/strong> \u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/a><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/strong><\/strong><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n

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<\/section>\n<\/section>\n
\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u63a7\u5236\u8bba\u8bfe\u7a0b <\/span><\/strong><\/section>\n

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

\u5bfc\u8bed \u63a7\u5236\u8bba\u662f\u6700\u65e9\u8d77\u6e90\u4e8e\u4e0a\u4e16\u7eaa\u7ef4\u7eb3\u65f6\u4ee3\u7684\u4e00\u95e8\u53e4\u8001\u5b66\u95ee\uff0c\u4f5c\u4e3a\u4e00\u5957\u6570\u5b66\u6846\u67b6\u5374\u6301\u7eed\u542f\u53d1\u540e\u6765\u7684\u7406\u8bba\u6280\u672f\u521b\u65b0\uff0c\u5305\u62ec\u5f3a\u5316\u5b66\u4e60\u7684\u521b\u65b0\u6e90\u5934\u5373\u6765\u6e90\u4e8e\u63a7\u5236\u8bba\u3002\u672c\u6587\u662f\u96c6\u667a\u4ff1\u4e50\u90e8\u8d44\u6df1\u7c89\u4e1d\u3001\u66fe\u521b\u7acb\u56fd\u5185\u6700\u5927\u8de8\u5b66\u79d1\u793e\u533a\u7684JK\u5728\u65b0\u5e74\u671f\u95f4\u64b0\u5199\u7684\u968f\u7b14\uff0c\u4ece\u79d1\u5e7b\u7535\u5f71\u300a\u964d\u4e34\u300b\u5f00\u59cb\uff0c\u5c55\u73b0\u4e86\u63a7\u5236\u8bba\u8fd9\u95e8\u5b66\u95ee\u4e2d\u7684\u4e00\u5c0f\u7247\u82b1\u74e3\u2014\u2014\u6700\u4f18\u63a7\u5236\u539f\u7406\u7684\u7f8e\u5999\u4e4b\u5904…<\/p>\n","protected":false},"author":0,"featured_media":48548,"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\/48571"}],"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=48571"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/48571\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/48548"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=48571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=48571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=48571"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=48571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}