{"id":58772,"date":"2025-04-21T22:14:18","date_gmt":"2025-04-21T14:14:18","guid":{"rendered":"https:\/\/swarma.org\/?p=58772"},"modified":"2025-04-21T22:14:18","modified_gmt":"2025-04-21T14:14:18","slug":"%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%8a%a0%e9%80%9f%e7%a7%91%e5%ad%a6%e4%bb%bf%e7%9c%9f%e3%80%81%e8%ae%be%e8%ae%a1%e3%80%81%e6%8e%a7%e5%88%b6%e5%92%8c%e5%8f%91%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=58772","title":{"rendered":"\u4eba\u5de5\u667a\u80fd\u52a0\u901f\u79d1\u5b66\u4eff\u771f\u3001\u8bbe\u8ba1\u3001\u63a7\u5236\u548c\u53d1\u73b0"},"content":{"rendered":"
\n
\n
\n
\n
\n
\n
\n
\n
\n
<\/section>\n
\n
\n
\n
\n
\n

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

\u6458\u8981<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n

\n

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

\u8fd1\u5e74\u6765\uff0c\u968f\u7740AI for Science\uff08\u79d1\u5b66\u667a\u80fd\uff09\u7684\u84ec\u52c3\u53d1\u5c55\uff0c\u4eba\u5de5\u667a\u80fd\u4e0e\u5404\u95e8\u79d1\u5b66\u7684\u4ea4\u53c9\u878d\u5408\u9010\u6e10\u6210\u4e3a\u4e00\u4e2a\u663e\u8457\u7684\u79d1\u5b66\u7814\u7a76\u8d8b\u52bf\u3002\u4f46\u662f\uff0cAI for Science\u6240\u6d89\u53ca\u7684\u8303\u56f4\u5f88\u5e7f\uff0c\u5b66\u79d1\u4f17\u591a\uff0c\u56e0\u6b64\uff0c\u5c06\u5176\u68b3\u7406\u6210\u4e00\u4e2a\u7edf\u4e00\u7684\u4f53\u7cfb\u80fd\u591f\u66f4\u597d\u5730\u4e3a\u521d\u5165\u9886\u57df\u7684\u7814\u7a76\u8005\u5bfc\u822a\u3002\u672c\u6587\u8ba4\u4e3a\uff0c\u5c3d\u7ba1\u5404\u95e8\u79d1\u5b66\u7814\u7a76\u7684\u5bf9\u8c61\u3001\u65b9\u6cd5\u770b\u4f3c\u5343\u5dee\u4e07\u522b\uff0c\u4f46\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u4e3a\u79d1\u5b66\u7814\u7a76\u63d0\u4f9b\u4e00\u5957\u666e\u9002\u7684\u8303\u5f0f\u548c\u65b9\u6cd5\uff0c\u89e3\u51b3\u5404\u79d1\u5b66\u9886\u57df\u5185\u7684\u91cd\u8981\u95ee\u9898\u3002\u672c\u6587\u5c06\u4ece\u79d1\u5b66\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u3001\u53d1\u73b0\u4e09\u4e2a\u65b9\u9762\u5c55\u5f00\u7efc\u8ff0\uff0c\u660e\u786e\u4efb\u52a1\u8bbe\u7f6e\uff0c\u68b3\u7406\u5f53\u524d\u7684\u4ee3\u8868\u6027\u5de5\u4f5c\uff0c\u5e76\u901a\u8fc7\u5177\u4f53\u7684\u4f8b\u5b50\uff0c\u9610\u91ca\u4eba\u5de5\u667a\u80fd\u5982\u4f55\u4e3a\u79d1\u5b66\u7814\u7a76\u52a9\u529b\uff0c\u4ee5\u671f\u4f7f\u8bfb\u8005\u80fd\u591f\u66f4\u597d\u5e94\u7528\u5df2\u6709\u7684\u65b9\u6cd5\uff0c\u6216\u8005\u7814\u7a76\u65b0\u7684\u65b9\u6cd5\u3002<\/span>
<\/span><\/span><\/strong><\/span><\/strong><\/p>\n


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

\u672c\u6587\u53d1\u8868\u4e8e\u300a\u8ba1\u7b97\u7269\u7406\u300b\uff0c\u7ecf\u540c\u610f\u8f6c\u8f7d\u3002<\/span>
<\/span><\/span><\/strong><\/span><\/strong><\/p>\n


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

\u7814\u7a76\u9886\u57df\uff1a\u4eba\u5de5\u667a\u80fd\uff1b\u79d1\u5b66\u4eff\u771f\uff1b\u8bbe\u8ba1\uff1b\u63a7\u5236\uff1b\u79d1\u5b66\u53d1\u73b0<\/span>
<\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/section>\n
<\/strong><\/strong><\/strong><\/section>\n<\/section>\n
\n
<\/strong><\/strong><\/strong><\/section>\n<\/section>\n
\n
<\/strong><\/strong><\/section>\n
<\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\n
\n
<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\"\u56fe\u7247\"<\/section>\n<\/section>\n
\n
\u5434\u6cf0\u9716<\/span><\/span> <\/span><\/span>| \u4f5c\u8005<\/span><\/span><\/span><\/section>\n

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

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

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

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


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


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

\n
\n
\n
\n
\n

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

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

0. \u5f15\u8a00<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

\u8fd1\u5e74\u6765\uff0c\u4eba\u5de5\u667a\u80fd<\/span>\uff08AI\uff09<\/span>\u4e0e\u79d1\u5b66\u9886\u57df\u7684\u4ea4\u53c9\u878d\u5408\u8fc5\u731b\u53d1\u5c55\uff0cAI for Science<\/span>\uff08\u79d1\u5b66\u667a\u80fd\uff09<\/span>\u5df2\u7ecf\u6210\u4e3a\u4e00\u4e2a\u84ec\u52c3\u53d1\u5c55\u7684\u4ea4\u53c9\u5b66\u79d1\u3002\u5c3d\u7ba1\u5404\u95e8\u79d1\u5b66<\/span>\uff08\u4f8b\u5982\u7269\u7406\u3001\u5316\u5b66\u3001\u751f\u547d\u79d1\u5b66\u3001\u6750\u6599\u7b49\uff09<\/span>\u7814\u7a76\u7684\u5bf9\u8c61\u3001\u65b9\u6cd5\u770b\u4f3c\u5343\u5dee\u4e07\u522b\uff0c\u4f46\u662f AI for Science \u6709\u5e0c\u671b\u4e3a\u5404\u95e8\u79d1\u5b66\u63d0\u4f9b\u7edf\u4e00\u7684\u8303\u5f0f\u548c\u65b9\u6cd5\uff0c\u5e76\u6781\u5927\u52a0\u901f\u5176\u53d1\u5c55\u3002\u672c\u6587\u8ba4\u4e3a\uff0c\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u5728\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u3001\u53d1\u73b0\u7b49\u4e09\u65b9\u9762\uff0c\u4e3a\u79d1\u5b66\u7814\u7a76\u63d0\u4f9b\u4e00\u5957\u666e\u9002\u7684\u65b9\u6cd5\uff0c\u89e3\u51b3\u9886\u57df\u5185\u91cd\u8981\u95ee\u9898\u3002\u4e3a\u6b64\uff0c\u672c\u6587\u5c06\u4ecb\u7ecd\u4eba\u5de5\u667a\u80fd\u7528\u4e8e\u79d1\u5b66\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u3001\u53d1\u73b0\u4e09\u65b9\u9762\u7684\u4efb\u52a1\u8bbe\u7f6e\u548c\u5f53\u524d\u8fdb\u5c55\u3002\u5728\u4ecb\u7ecd\u8fc7\u7a0b\u4e2d\uff0c\u5c06\u7740\u91cd\u4ece\u4e00\u4e9b\u4ee3\u8868\u6027\u5de5\u4f5c\u548c\u5177\u4f53\u4f8b\u5b50\u51fa\u53d1\u8fdb\u884c\u9610\u91ca\uff0c\u4e0d\u6c42\u9762\u9762\u4ff1\u5230\uff0c\u76ee\u7684\u662f\u8ba9\u8bfb\u8005\u5bf9\u8fd9\u4e00\u9886\u57df\u6709\u4e00\u4e2a\u521d\u6b65\u7684\u8ba4\u8bc6\uff0c\u4ece\u800c\u53ef\u4ee5\u66f4\u5bb9\u6613\u5e94\u7528\u5df2\u6709\u7684\u65b9\u6cd5\uff0c\u6216\u8005\u7814\u7a76\u65b0\u7684\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n


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

<\/section>\n


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


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

\n
\n
\n
\n
\n

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

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

1. <\/span>AI for Science\uff1a\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

\u56fe 1 \u753b\u51fa\u4e86\u4e0d\u540c\u5b66\u79d1\u5728\u65f6\u95f4\u548c\u7a7a\u95f4\u5c3a\u5ea6\u4e0a\u6240\u7814\u7a76\u7684\u5bf9\u8c61\u7684\u5927\u81f4\u8303\u56f4\uff0c\u4ece\u5fae\u89c2\u7684\u7c92\u5b50\u7269\u7406\u3001\u91cf\u5b50\u8ba1\u7b97\u7b49\uff0c\u4ecb\u89c2\u7684\u6750\u6599\u79d1\u5b66\u3001\u7ec6\u80de\u751f\u7269\u5b66\u7b49\uff0c\u5230\u5b8f\u89c2\u7684\u673a\u68b0\u3001\u5927\u6c14\u3001\u80fd\u6e90\u3001\u5929\u6587\u5b66\u7b49\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u4e0d\u540c\u5b66\u79d1\u7684\u7814\u7a76\u5bf9\u8c61\u8de8\u8d8a\u4e86\u4e09\u5341\u591a\u4e2a\u7a7a\u95f4\u6570\u91cf\u7ea7\u548c\u4e8c\u5341\u591a\u4e2a\u65f6\u95f4\u6570\u91cf\u7ea7\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 1\t\u4e0d\u540c\u79d1\u5b66\u9886\u57df\u7684\u5927\u81f4\u7a7a\u95f4\u5c3a\u5ea6\uff08\u6a2a\u8f74\uff09\u548c\u65f6\u95f4\u5c3a\u5ea6\uff08\u7eb5\u8f74\uff09<\/span><\/span><\/p>\n


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

\u5c3d\u7ba1\u5982\u6b64\uff0c\u8fd9\u4e9b\u4e0d\u540c\u7684\u5b66\u79d1\u7684\u7814\u7a76\u5177\u6709\u6781\u5176\u663e\u8457\u7684\u5171\u6027\u3002\u5177\u4f53\u6765\u8bf4\uff0c\uff081\uff09\u5b83\u4eec\u90fd\u9700\u8981\u9884\u6d4b\u6240\u7814\u7a76\u7cfb\u7edf\u7684\u72b6\u6001\u968f\u65f6\u95f4\u7684\u6f14\u5316\uff0c\u6216\u8005\u57fa\u4e8e\u8fb9\u754c\u6761\u4ef6\u3001\u7ed3\u6784\u7b49\u9884\u6d4b\u5176\u7a33\u6001\u548c\u6027\u8d28\uff0c\u6211\u4eec\u79f0\u4e3a\u4eff\u771f\u6216\u6a21\u62df\u3002\uff082\uff09\u4e0e\u4ee5\u4e0a\u6b63\u5411\u95ee\u9898\u76f8\u53cd\uff0c\u7814\u7a76\u4eba\u5458\u901a\u5e38\u9700\u8981\u8bbe\u8ba1\u7cfb\u7edf\u7684\u53c2\u6570\u3001\u7ed3\u6784\uff0c\u9006\u5411\u4f18\u5316\u67d0\u4e9b\u8bbe\u8ba1\u76ee\u6807<\/span>\uff08\u9006\u5411\u8bbe\u8ba1\uff09<\/span>\uff0c\u6216\u8005\u6839\u636e\u7cfb\u7edf\u5f53\u524d\u7684\u7a00\u758f\u89c2\u6d4b\u63a8\u6d4b\u7cfb\u7edf\u5b8c\u6574\u7684\u53c2\u6570\u548c\u521d\u59cb\u6761\u4ef6<\/span>\uff08\u9006\u95ee\u9898\uff09<\/span>\u3002\u540c\u65f6\uff0c\u7814\u7a76\u4eba\u5458\u9700\u8981\u63a7\u5236\u7cfb\u7edf\u7684\u72b6\u6001\u4ee5\u4f18\u5316\u63a7\u5236\u76ee\u6807\u3002\uff083\uff09\u6b64\u5916\uff0c\u7814\u7a76\u4eba\u5458\u9700\u8981\u4ece\u6570\u636e\u4ee5\u53ca\u5df2\u6709\u7406\u8bba\u51fa\u53d1\uff0c\u53d1\u73b0\u7cfb\u7edf\u7684\u91cd\u8981\u53d8\u91cf\u548c\u7b80\u5355\u666e\u9002\u7684\u65b9\u7a0b\uff0c\u6784\u5efa\u63cf\u8ff0\u7cfb\u7edf\u7684\u7406\u8bba\u548c\u6a21\u578b\uff0c\u5e76\u901a\u8fc7\u5b9e\u9a8c\u9a8c\u8bc1<\/span>\uff08\u79d1\u5b66\u53d1\u73b0\uff09<\/span>\u3002\u4ee5\u4e0a\u4e09\u7c7b\u95ee\u9898\uff0c\u5728\u5927\u591a\u6570\u79d1\u5b66\u9886\u57df\u4e2d\u90fd\u662f\u666e\u904d\u5b58\u5728\u7684\u6838\u5fc3\u95ee\u9898\u3002\u800c\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u4e3a\u4ee5\u4e0a\u95ee\u9898\u7684\u89e3\u51b3\uff0c\u5e26\u6765\u65b0\u7684\u8303\u5f0f\u548c\u65b9\u6cd5\uff0c\u5e76\u4e14\u6210\u6570\u91cf\u7ea7\u5730\u52a0\u901f\u7cfb\u7edf\u7684\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u3001\u53d1\u73b0\u3002\u540c\u65f6\uff0c\u4eba\u5de5\u667a\u80fd\u7ed3\u5408\u5b66\u79d1\u5df2\u6709\u7684\u5148\u9a8c\u77e5\u8bc6\u548c\u65b9\u6cd5\uff0c\u53ef\u4ee5\u53d6\u5f97\u66f4\u597d\u7684\u6548\u679c\u3002\u4ee5\u4e0b\u4e09\u8282\uff0c\u5c06\u5206\u522b\u8fdb\u884c\u9610\u8ff0\u3002<\/span><\/span><\/p>\n


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


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

\n
\n
\n
\n
\n

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

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

2. <\/span>\u4eba\u5de5\u667a\u80fd\u7528\u4e8e\u79d1\u5b66\u4eff\u771f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

2.1 \u95ee\u9898\u5b9a\u4e49\u548c\u65b9\u6cd5\u5206\u7c7b<\/span><\/span><\/p>\n


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

\u4eff\u771f\uff0c\u662f\u79d1\u5b66\u7814\u7a76\u4e2d\u7684\u6700\u91cd\u8981\u7684\u666e\u9002\u95ee\u9898\u4e4b\u4e00\u3002\u4ece\u7c92\u5b50\u7269\u7406\u4e2d\u5bf9\u7c92\u5b50\u8870\u53d8\u7684\u4eff\u771f\u3001\u53ef\u63a7\u6838\u805a\u53d8\u4e2d\u7b49\u79bb\u5b50\u4f53\u4eff\u771f\u3001\u6d41\u4f53\u529b\u5b66\u4eff\u771f\uff0c\u5230\u5206\u5b50\u52a8\u529b\u5b66\u4eff\u771f\u3001\u7ec6\u80de\u4eff\u771f\u3001\u5929\u4f53\u7269\u7406\u4eff\u771f\u7b49\u7b49\uff0c\u6211\u4eec\u90fd\u9700\u8981\u6839\u636e\u7cfb\u7edf\u7684\u521d\u59cb\u6761\u4ef6\u548c\u8fb9\u754c\u6761\u4ef6\uff0c\u6a21\u62df\u4e00\u4e2a\u7cfb\u7edf\u7684\u6f14\u5316\u6216\u8005\u9884\u6d4b\u5176\u7a33\u6001\u3002\u57fa\u4e8e\u6b64\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u66f4\u597d\u5730\u63a7\u5236\u7cfb\u7edf\u7684\u6f14\u5316\uff0c\u4ee5\u53ca\u4f18\u5316\u7cfb\u7edf\u7684\u53c2\u6570\u548c\u7ed3\u6784\u3002\u4eba\u5de5\u667a\u80fd\u7528\u4e8e\u79d1\u5b66\u4eff\u771f\uff0c\u76ee\u7684\u5c31\u662f\u63d0\u9ad8\u79d1\u5b66\u4eff\u771f\u7684\u901f\u5ea6\u548c\u7cbe\u5ea6\u3002<\/span><\/span><\/p>\n


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

\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u660e\u786e\u7cfb\u7edf\u7684\u63cf\u8ff0<\/span>\uff08\u56fe 2\uff09<\/span>\u3002\u6211\u4eec\u628a\u7cfb\u7edf\u5728\u65f6\u95f4\ud835\udc61\u7684\u72b6\u6001\u79f0\u4e3a\ud835\udc62<\/span><\/span>\ud835\udc61<\/span><\/span><\/sup>\uff0c\ud835\udc53<\/span><\/span>\u2217<\/span><\/span><\/sup>\u4e3a\u7cfb\u7edf\u7684\u6f14\u5316<\/span>\uff08\u53ef\u80fd\u6765\u81ea\u771f\u5b9e\u7269\u7406\u7cfb\u7edf\u7684\u6f14\u5316\uff0c\u6216\u8005\u6c42\u89e3\u5668\uff09<\/span>\u3002\ud835\udc5a<\/span><\/span>\ud835\udc61<\/span><\/span><\/sup>\u4e3a\u5916\u754c\u5728\u65f6\u95f4\ud835\udc61\u5bf9\u7cfb\u7edf\u7684\u63a7\u5236\u8f93\u5165\uff0c\ud835\udc4e\u4e3a\u7cfb\u7edf\u7684\u4e0d\u968f\u65f6\u95f4\u53d8\u5316\u7684\u53c2\u6570\uff0c\ud835\udf15\ud835\udd4f\u4e3a\u7cfb\u7edf\u7684\u8fb9\u754c\u6761\u4ef6\u3002\u8fd9\u4e00\u63cf\u8ff0\u53ef\u4ee5\u5305\u542b\u5927\u591a\u6570\u7cfb\u7edf\u7684\u6f14\u5316\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 2 \u5bf9\u4e8e\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u63cf\u8ff0\u8bbe\u7f6e\u3002<\/span><\/span><\/p>\n


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

\u5982\u56fe 3 \u6240\u793a\uff0c\u6839\u636e\u8fd0\u7528\u7b2c\u4e00\u6027\u539f\u7406\u548c\u6570\u636e\u9a71\u52a8\u7684\u6bd4\u4f8b\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u4e0d\u540c\u7684\u4eff\u771f\u65b9\u6cd5\u653e\u5728\u4e00\u4e2a\u5149\u8c31\u4e0a\u3002\u5149\u8c31\u7684\u6700\u5de6\u7aef\u662f\u57fa\u4e8e\u7b2c\u4e00\u6027\u539f\u7406\u7684\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\uff0c\u5305\u62ec\u5206\u5b50\u52a8\u529b\u5b66\u6c42\u89e3\u5668\uff0c\u6709\u9650\u5143\u3001\u6709\u9650\u5dee\u5206\u7b49\u504f\u5fae\u5206\u65b9\u7a0b\u6570\u503c\u65b9\u6cd5\u7b49\u3002\u5149\u8c31\u7684\u6700\u53f3\u7aef\u662f\u57fa\u4e8e\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\u3002\u5728\u5149\u8c31\u7684\u4e2d\u95f4\u533a\u57df\uff0c\u4e3a\u4e24\u8005\u7684\u6709\u673a\u7ed3\u5408\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 3 \u4e0d\u540c\u4eff\u771f\u65b9\u6cd5\u5728\u7b2c\u4e00\u6027\u539f\u7406\u7684\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\uff08\u6700\u5de6\u7aef\uff09\u5230\u6570\u636e\u9a71\u52a8\uff08\u6700\u53f3\u7aef\uff09\u5149\u8c31\u4e0a\u7684\u5206\u5e03\uff0c\u4ee5\u53ca\u5176\u4f18\u52bf\uff08\u84dd\u8272\uff09\u548c\u5c40\u9650\u6027\uff08\u6a59\u8272\uff09\u3002<\/span><\/span><\/p>\n


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

\u5728\u5149\u8c31\u7684\u6700\u5de6\u7aef\uff0c\u662f\u57fa\u4e8e\u7b2c\u4e00\u6027\u539f\u7406\u7684\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u5982\u4e0b\u4e00\u822c\u7684\u4e8c\u9636\u975e\u7ebf\u6027\u504f\u5fae\u5206\u65b9\u7a0b<\/span>\uff08PDE\uff09<\/span>\uff1a<\/span><\/span><\/p>\n


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

<\/section>\n


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

\u4eba\u4eec\u901a\u5e38\u5c06\u5176\u5728\u65f6\u95f4\u548c\u7a7a\u95f4\u4e0a\u8fdb\u884c\u79bb\u6563\u5316\uff0c\u5f62\u6210\u79bb\u6563\u7684\u65f6\u95f4\u72b6\u6001\uff0c\u4ee5\u53ca\u901a\u8fc7\u7a7a\u95f4\u4e0a\u89c4\u5219\u6216\u8005\u975e\u89c4\u5219\u7684\u7f51\u683c\u6765\u8868\u793a\u7cfb\u7edf\u7684\u72b6\u6001<\/span>\uff08\u56fe 4\uff09<\/span>\u3002\u63a5\u4e0b\u6765\uff0c\u4fbf\u53ef\u901a\u8fc7\u6709\u9650\u5dee\u5206\u3001\u6709\u9650\u5143\u3001\u6709\u9650\u4f53\u79ef\u7b49\u6570\u503c\u65b9\u6cd5\u8fdb\u884c\u6c42\u89e3\u3002<\/span><\/span><\/p>\n


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

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

\u56fe 4 \u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u5c06\u504f\u5fae\u5206\u65b9\u7a0b\u5728\u65f6\u95f4\u548c\u7a7a\u95f4\u4e0a\u79bb\u6563\u5316\uff0c\u4ee5\u4fbf\u4e8e\u6570\u503c\u6c42\u89e3\u3002<\/span><\/span><\/p>\n


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

\u5c3d\u7ba1\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u5728\u51c6\u786e\u5ea6\u3001\u53ef\u89e3\u91ca\u6027\u3001\u8bef\u5dee\u4fdd\u8bc1\u7b49\u65b9\u9762\u6709\u4f18\u52bf\uff0c\u4e14\u7ecf\u8fc7\u51e0 \u5341\u5e74\u7684\u53d1\u5c55\uff0c\u5728\u5404\u9886\u57df\u90fd\u5efa\u7acb\u4e86\u5404\u81ea\u7684\u6c42\u89e3\u5668\uff0c\u4f46\u662f\uff0c\u5176\u4e3b\u8981\u5c40\u9650\u6027\u5728\u4e8e\u6c42\u89e3\u901f\u5ea6\u975e\u5e38\u6162\uff0c\u5f80\u5f80\u9700\u8981\u51e0\u5c0f\u65f6\u5230\u51e0\u5929\u624d\u80fd\u6a21\u62df\u4e00\u4e2a\u7f51\u683c\u91cf\u7ea7\u5343\u4e07\u7ea7\u4ee5\u4e0a\u7684\u5927\u578b\u7cfb\u7edf\u3002\u8fd1\u51e0\u5e74\u5174\u8d77\u7684\u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u7684\u4ee3\u7406\u6a21\u578b<\/span>\uff08\u7b80\u79f0 AI \u4eff\u771f\u6a21\u578b\uff09<\/span>\uff0c\u80fd\u591f\u6210\u6570\u91cf\u7ea7\u5730\u52a0\u901f\u4ee5\u4e0a\u4eff\u771f\u8fc7\u7a0b\uff0c\u52a0\u901f\u500d\u6570\u53ef\u4ee5\u8fbe\u5230 10-10<\/span><\/span>4<\/span><\/span><\/sup> \u500d\u3002\u52a0\u901f\u7684\u539f\u56e0\u5728\u4e8e\u795e\u7ecf\u7f51\u7edc\u53ef\u4ee5\u5b66\u4e60\u4f7f\u7528\u66f4\u5927\u7684\u65f6\u95f4\u6b65\u957f\u548c\u7a7a\u95f4\u6b65\u957f\uff0c\u5b66\u4e60\u6548\u7387\u66f4\u9ad8\u7684\u8868\u793a<\/span>\uff08\u4f8b\u5982\u5728\u9690\u7a7a\u95f4\u8fdb\u884c\u6f14\u5316\uff09<\/span>\uff0c\u6216\u8005\u76f4\u63a5\u5b66\u4e60\u4ece\u521d\u59cb\u548c\u8fb9\u754c\u6761\u4ef6\u5230\u65b9\u7a0b\u89e3\u7684\u6620\u5c04\u3002\u6b64\u5916\uff0c\u5982\u679c\u89c2\u6d4b\u6570\u636e\u91cf\u8db3\u591f\uff0c\u90a3\u4e48 AI \u4eff\u771f\u6a21\u578b\u53ef\u4ee5\u6bd4\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u66f4\u4e3a\u7cbe\u786e\u3002\u8fd9\u662f\u56e0\u4e3a\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u57fa\u4e8e\u7ed9\u5b9a\u7684\u65b9\u7a0b\u8fdb\u884c\u79bb\u6563\u6c42\u89e3\uff0c\u8fd9\u4e9b\u65b9\u7a0b\u5f80\u5f80\u662f\u771f\u5b9e\u6f14\u5316\u89c4\u5f8b\u7684\u7b80\u5316\u6216\u8fd1\u4f3c\uff1b\u800c\u6df1\u5ea6\u5b66\u4e60\u76f4\u63a5\u4ece\u89c2\u6d4b\u6570\u636e\u4e2d\u5b66\u4e60\uff0c\u6709\u671b\u6355\u6349\u66f4\u4e3a\u590d\u6742\u7684\u5173\u7cfb\u3002\u7531\u6b64\uff0c\u57fa\u4e8e AI\u4eff\u771f\u6a21\u578b\u4e3a\u79d1\u5b66\u4eff\u771f\u5e26\u6765\u4e86\u65b0\u7684\u8303\u5f0f\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 5\tAI \u4eff\u771f\u6a21\u578b\u5b66\u4e60\u4e00\u4e2a\u4ee3\u7406\u6a21\u578b\ud835\udc53<\/span><\/span>\ud835\udf03<\/span><\/sub>\uff0c\u6700\u5c0f\u5316\u9884\u6d4b\u8bef\u5dee\u3002<\/span><\/span><\/span><\/p>\n


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

\u5177\u4f53\u6765\u8bf4\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u5305\u542b\u7cfb\u7edf\u72b6\u6001\u8f68\u8ff9\u548c\u5916\u754c\u63a7\u5236\u5e8f\u5217\u548c\u53c2\u6570<\/span>\uff08\u4f46\u4e0d\u9700\u8981\u63d0\u4f9b\u65b9\u7a0b\uff09<\/span>\u7684\u6570\u636e\u96c6\uff0c\u7cfb\u7edf\u52a8\u529b\u5b66\u4eff\u771f\u7684\u76ee\u6807\u662f\u5b66\u4e60\u4e00\u4e2a AI \u4eff\u771f\u6a21\u578b\u6a21\u62df\u7cfb\u7edf\u7684\u6f14\u5316\u3002\u901a\u8fc7\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u53c2\u6570\u5316\u4e00\u4e2a\u51fd\u6570\ud835\udc53<\/span><\/span>\ud835\udf03<\/span><\/span><\/sub>\uff0c\u8fd9\u4e00\u795e\u7ecf\u7f51\u7edc\u6839\u636e\ud835\udc61\u65f6\u523b\u7684\u7cfb\u7edf\u72b6\u6001\ud835\udc62<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>\u4ee5\u53ca\u53c2\u6570\u3001\u8fb9\u754c\u6761\u4ef6\u548c\u5916\u754c\u63a7\u5236\u6765\u9884\u6d4b\u4e0b\u4e00\u65f6\u523b\u7684\u7cfb\u7edf\u72b6\u6001\u3002\u901a\u8fc7\u6700\u5c0f\u5316\u9884\u6d4b\u72b6\u6001\u4e0e\ud835\udc61 + 1\u65f6\u523b\u771f\u5b9e\u7cfb\u7edf\u72b6\u6001\ud835\udc62<\/span><\/span>\ud835\udc61+1<\/span><\/span><\/sub>\u4e4b\u95f4\u7684\u8bef\u5dee\u6765\u8fdb\u884c\u5b66\u4e60\uff0c\u5176\u4f18\u5316\u76ee\u6807\u4e3a\uff1a<\/span><\/span><\/p>\n


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

<\/section>\n


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

\u8fd9\u91cc\ud835\udcc1(\u22c5;\u22c5)\u4e3a\u635f\u5931\u51fd\u6570\uff0c\u901a\u5e38\u4e3a MSE\u3001MAE \u6216\u8005\u5176\u4ed6\u5408\u9002\u7684\u51fd\u6570\u3002\u5728\u63a8\u7406\u65f6\uff0c\u7528\u8bad\u7ec3\u7684\ud835\udc53<\/span><\/span>\ud835\udf03<\/span><\/span><\/sub>\u4ee3\u66ff\u6c42\u89e3\u5668\uff0c\u8fed\u4ee3\u9884\u6d4b\u7cfb\u7edf\u72b6\u6001\u968f\u65f6\u95f4\u7684\u6f14\u5316\u3002<\/span><\/span><\/p>\n


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

\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u7684\u6548\u679c\u53d6\u51b3\u4e8e\u5408\u9002\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u548c\u5b66\u4e60\u6a21\u5f0f\u3002\u8868 1 \u548c\u8868 2 \u5206\u522b\u5217\u51fa\u4e86 AI \u4eff\u771f\u6a21\u578b\u5e38\u7528\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u548c\u5b66\u4e60\u8303\u5f0f\u53ca\u5176\u4f18\u7f3a\u70b9\u3002\u8fd9\u91cc\u4e0d\u540c\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u4ee5\u53ca\u5b66\u4e60\u8303\u5f0f\u53ef\u4ee5\u6839\u636e\u9700\u8981\u8fdb\u884c\u7ec4\u5408\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u5c06\u795e\u7ecf\u7b97\u5b50\u67b6\u6784\u7ed3\u5408\u7269\u7406\u4fe1\u606f\u8303\u5f0f<\/span><\/span>[1-2]<\/span><\/span><\/sup>\uff0c\u8fd9\u6837\u53ef\u4ee5\u540c\u65f6\u5229\u7528\u5176\u8d85\u5206\u8fa8\u7387\u7684\u4f18\u70b9\u4ee5\u53ca\u5df2\u77e5\u7684\u7269\u7406\u65b9\u7a0b\u51cf\u5c0f\u8bad\u7ec3\u6570\u636e\u7684\u9700\u8981\u91cf\u3002\u53c8\u6bd4\u5982\uff0c\u53ef\u4ee5\u5c06\u751f\u6210\u6a21\u578b\u4e0e\u7269\u7406\u4fe1\u606f\u4e24\u4e2a\u5b66\u4e60\u8303\u5f0f\u7ed3\u5408<\/span><\/span>[3]<\/span><\/span><\/sup>\uff0c\u57fa\u4e8e PDE \u548c\u6570\u636e\u751f\u6210\u9ad8\u7ef4\u3001\u957f\u7a0b\u7684\u7269\u7406\u4eff\u771f\u3002<\/span><\/span><\/p>\n


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

\u8868 1\uff1aAI \u4eff\u771f\u6a21\u578b\u5e38\u7528\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u53ca\u5176\u4f18\u7f3a\u70b9<\/span><\/span><\/p>\n

<\/section>\n
\u8868 2\uff1aAI \u4eff\u771f\u6a21\u578b\u5e38\u7528\u5b66\u4e60\u8303\u5f0f\u53ca\u5176\u4f18\u7f3a\u70b9<\/span><\/span><\/section>\n
<\/section>\n


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

\u5728\u56fe 3 \u5149\u8c31\u7684\u4e2d\u592e\uff0c\u6709\u7740\u4e00\u7cfb\u5217\u7ed3\u5408\u7b2c\u4e00\u6027\u539f\u7406\u4ee5\u53ca\u6570\u636e\u9a71\u52a8\u8303\u5f0f\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u548c\u5b66\u4e60\u8303\u5f0f\u3002\u5b83\u4eec\u7ed3\u5408\u4e24\u8005\u7684\u4f18\u70b9\uff0c\u9002\u7528\u4e8e\u5df2\u77e5\u4e00\u90e8\u5206\u7269\u7406\u4ee5\u53ca\u6709\u4e00\u90e8\u5206\u6570\u636e<\/span>\uff08\u4f46\u65e0\u5927\u91cf\u6570\u636e\uff09<\/span>\u8fd9\u4e00\u5b9e\u9645\u4e2d\u6700\u5e38\u89c1\u7684\u573a\u666f\uff0c\u4e5f\u662f\u5f53\u524d AI+\u79d1\u5b66\u4eff\u771f\u7684\u7814\u7a76\u524d\u6cbf\u3002\u4f8b\u5982\uff0c\u4ece\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u51fa\u53d1\uff0c\u53ef\u4ee5\u7ed3\u5408\u795e\u7ecf\u7f51\u7edc\u6784\u5efa solver-in-the-loop \u7684\u8303\u5f0f\uff0c\u901a\u8fc7\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u6c42\u89e3\u5668\u5728\u4f4e\u7cbe\u5ea6\u7f51\u683c\u4eff\u771f\u4e0e\u771f\u5b9e\u7ed3\u679c\u7684\u6b8b\u5dee<\/span><\/span>[4-5]<\/span><\/span><\/sup>\uff0c\u6216\u8005\u6839\u636e\u7269\u7406\u5148\u9a8c\u6784\u5efa\u4ee3\u7406\u6a21\u578b\u7684\u67b6\u6784<\/span><\/span>[6-7]<\/span><\/span><\/sup>\uff0c\u4ece\u800c\u5927\u5927\u51cf\u5c11\u8bad\u7ec3\u6570\u636e\u7684\u9700\u8981\u91cf\uff0c\u63d0\u9ad8\u9884\u6d4b\u7684\u7cbe\u786e\u5ea6\u3002\u53e6\u5916\uff0c\u4ece\u7eaf\u6570\u636e\u9a71\u52a8\u8303\u5f0f\u51fa\u53d1\uff0c\u53ef\u4ee5\u5728\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u4e2d\u8003\u8651\u7cfb\u7edf\u5df2\u77e5\u7684\u5bf9\u79f0\u6027\u548c\u5b88\u6052\u5f8b\uff0c\u5e76\u5c06\u5176\u690d\u5165\u5230\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u4e2d\uff0c\u4f7f\u5f97\u5b83\u4eec\u88ab\u4e25\u683c\u6ee1\u8db3\u3002\u8fd9\u65b9\u9762\u4ee3\u8868\u6027\u5de5\u4f5c\u6709\u7b49\u53d8\u56fe\u795e\u7ecf\u7f51\u7edc<\/span>\uff08EGNN<\/span><\/span>[8]<\/span><\/span><\/sup>\uff09<\/span>\u3001\u6df1\u52bf\u5206\u5b50\u52a8\u529b\u5b66<\/span>\uff08DPMD<\/span><\/span>[9]<\/span><\/span><\/sup>\uff09<\/span>\u3001 Schnet<\/span><\/span>[10]<\/span><\/span><\/sup>\u3001\u8003\u8651\u89c4\u8303\u5bf9\u79f0\u6027\u7684\u5377\u79ef\u795e\u7ecf\u7f51\u7edc<\/span><\/span>[11]<\/span><\/span><\/sup>\uff0c\u4ee5\u53ca[12]\u63d0\u51fa\u4e00\u5957\u666e\u9002\u65b9\u6cd5\uff0c\u53ef\u4ee5\u901a\u8fc7\u6807\u91cf\u6216\u8005\u6807\u91cf\u4e0e\u77e2\u91cf\u7684\u4e58\u79ef\uff0c\u5c06\u5404\u8fde\u7eed\u5bf9\u79f0\u6027\u7684\u7b49\u53d8\u6027\u6216\u8005\u4e0d\u53d8\u6027\u690d\u5165\u795e\u7ecf\u7f51\u7edc\u4f7f\u5176\u88ab\u4e25\u683c\u6ee1\u8db3\u3002\u53e6\u5916\uff0c\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc<\/span>\uff08PINN<\/span><\/span>[13]<\/span><\/span><\/sup>\uff09<\/span>\u5c06\u65b9\u7a0b\u4ee5\u53ca\u8fb9\u754c\u6761\u4ef6\u4f5c\u4e3a\u635f\u5931\u52a0\u5165\u4f18\u5316\u76ee\u6807\uff0c\u4e5f\u662f\u4e00\u7c7b\u6709\u6548\u7684\u7269\u7406\u5148\u9a8c\u690d\u5165\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n


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

2.2 \u6848\u4f8b\u7814\u7a76\uff1a\u56fe\u795e\u7ecf\u7f51\u7edc\u7528\u4e8e\u7269\u7406\u7cfb\u7edf\u4eff\u771f<\/span><\/span><\/p>\n


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

\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4ee5\u56fe\u795e\u7ecf\u7f51\u7edc<\/span>\uff08GNN\uff09<\/span>\u4e3e\u4f8b\uff0c\u9610\u660e AI \u4eff\u771f\u6a21\u578b\u5728\u5177\u4f53\u9886\u57df\u7684\u5e94\u7528\u53ca\u53d1\u5c55\u7684\u8109\u7edc\u3002\u9996\u5148\uff0c2020 \u5e74DeepMind \u63d0\u51faGraph Network Simulato<\/span>\uff08r GNS\uff0c\u56fe\u795e\u7ecf\u7f51\u7edc\u6c42\u89e3\u5668\uff09<\/span>\u67b6\u6784<\/span><\/span>[14]<\/span><\/span><\/sup>\uff0c\u5c06\u7269\u7406\u7cfb\u7edf\u5efa\u6a21\u6210\u4e3a\u7c92\u5b50\u7cfb\u7edf\uff0c\u901a\u8fc7\u56fe\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u7c92\u5b50\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u5173\u7cfb\uff0c\u6765\u5efa\u6a21\u4e0d\u540c\u7684\u7269\u8d28<\/span>\uff08\u4f8b\u5982\u6d41\u4f53\u3001\u6c99\u5b50\u3001\u80f6\u6ce5\uff09<\/span>\u7684\u52a8\u529b\u5b66\uff0c\u53d6\u5f97\u4e86\u8f83\u597d\u7684\u9884\u6d4b\u6548\u679c<\/span>\uff08\u56fe 6\uff09<\/span>\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 6 GNS \u5c06\u7269\u7406\u7cfb\u7edf\u5efa\u6a21\u6210\u7c92\u5b50\u7cfb\u7edf\uff0c\u6a21\u62df\u6c34\u6d41\uff08\u5de6\uff09\u3001\u6c99\u5b50\uff08\u4e2d\uff09\u3001\u80f6\u6ce5\uff08\u53f3\uff09\u7684\u542b\u65f6\u6f14\u5316\u3002(a) GNS \u9884\u6d4b\u7ed3\u679c\uff1b(b) \u7ecf\u8fc7\u6e32\u67d3\u540e\u7684\u7ed3\u679c\u3002\u56fe\u6765\u81ea[14]\u3002<\/span><\/span><\/p>\n


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

\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u4e0a\uff0c\u8be5\u5de5\u4f5c\u63d0\u51fa GNS \u6a21\u578b\u4f5c\u4e3a\u4ee3\u7406\u6a21\u578b\ud835\udc53<\/span><\/span>\ud835\udf03<\/span><\/span><\/sub>\uff0c\u7531\ud835\udc61\u65f6\u523b\u7cfb\u7edf\u7684\u72b6\u6001<\/span>\uff08\u6240\u6709\u7c92\u5b50\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\uff09<\/span>\u9884\u6d4b\ud835\udc61 + 1\u65f6\u523b\u7684\u72b6\u6001<\/span>\uff08\u56fe 7\uff09<\/span>\u3002GNS \u6a21\u578b\u9996\u5148\u901a\u8fc7\u4e00\u4e2a\u7f16\u7801\u5668<\/span>\uff08\u56fe 7(c)\uff09<\/span>\uff0c\u5c06\u6bcf\u4e00\u4e2a\u7c92\u5b50\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\u5206\u522b\u6620\u5c04\u5230\u4e00\u4e2a\u9ad8\u7ef4\u9690\u7a7a\u95f4\uff0c\u5e76\u6784\u5efa\u56fe\u7ed3\u6784\u3002\u5982\u679c\u4e24\u4e2a\u7c92\u5b50\u4e4b\u95f4\u7684\u8ddd\u79bb\u5c0f\u4e8e\u8bbe\u5b9a\u7684\u9608\u503c\uff0c\u5219\u8fde\u63a5\u8fb9\u3002\u8fb9\u4e0a\u4e5f\u53ef\u4ee5\u5305\u542b\u7279\u5f81\uff0c\u4f8b\u5982\u76f8\u5bf9\u8ddd\u79bb\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 7 GNS[14]\u7f51\u7edc\u67b6\u6784\u3002\u7cfb\u7edf\u5728\ud835\udc61\u65f6\u523b\u7684\u72b6\u6001\uff08\u5404\u7c92\u5b50\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\uff09\u4f5c\u4e3a\u8f93\u5165\uff0c\u7ecf\u8fc7(c)\u7f16\u7801\u5668, (d)\u6d88\u606f\u4f20\u9012, (e)\u89e3\u7801\u5668\uff0c\u9884\u6d4b\ud835\udc61 + 1\u65f6\u523b\u7684\u52a0\u901f\u5ea6\uff0c\u7ecf\u8fc7\u6b27\u62c9\u6cd5\u9884\u6d4b\ud835\udc61 + 1\u65f6\u523b\u7684\u7cfb\u7edf\u72b6\u6001\u3002<\/span><\/span><\/p>\n


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

\u63a5\u4e0b\u6765\uff0c\u901a\u8fc7\ud835\udc40\u5c42\u7684\u6d88\u606f\u4f20\u9012<\/span>\uff08message passing\uff09<\/span>\uff0c\u5b9e\u73b0\u56fe\u72b6\u6001\u7684\u66f4\u65b0\u3002\u5bf9\u4e8e\u6bcf\u4e00\u5c42\u7684\u4fe1\u606f\u4f20\u9012\uff0c\u5305\u62ec\u4e09\u6b65\uff1a\uff08<\/span><\/span>1<\/span><\/span><\/strong>\uff09\u5b66\u4e60\u76f8\u4e92\u4f5c\u7528\uff1a\u9996\u5148\u5728\u6bcf\u4e00\u6761\u8fb9\u4e0a\uff0c\u6839\u636e\u8fb9\u7684\u7279\u5f81\u548c\u76f8\u8fde\u7684\u4e24\u4e2a\u8282\u70b9\u7684\u7279\u5f81\uff0c\u901a\u8fc7\u4e00\u4e2a\u53ef\u5b66\u4e60\u7684\u591a\u5c42\u611f\u77e5\u673a<\/span>\uff08MLP\uff09<\/span>\uff0c\u9884\u6d4b\u6d88\u606f\uff1b\uff08<\/span><\/span>2<\/span><\/span><\/strong>\uff09\u805a\u5408\u76f8\u4e92\u4f5c\u7528\uff1a\u5728\u6bcf\u4e2a\u8282\u70b9\u4e0a\u8fdb\u884c\u6d88\u606f\u7684\u805a\u5408\uff0c\u805a\u5408\u901a\u5e38\u91c7\u53d6\u76f8\u52a0\u3001\u5e73\u5747\u6216\u8005\u53d6\u6700\u5927\u503c\u7b49\u5bf9\u4e8e\u4ea4\u6362\u4e0d\u53d8\u7684\u64cd\u4f5c\uff1b\uff08<\/span><\/span>3<\/span><\/span><\/strong>\uff09\u5b66\u4e60\u805a\u5408\u7684\u76f8\u4e92\u4f5c\u7528\u5982\u4f55\u5f71\u54cd\u8282\u70b9\u7279\u5f81\uff1a\u5728\u6bcf\u4e2a\u8282\u70b9\u4e0a\uff0c\u5c06\u805a\u5408\u7684\u6d88\u606f\u4e0e\u8282\u70b9\u5f53\u524d\u5c42\u7684\u7279\u5f81\u8fdb\u884c\u7ea7\u8054<\/span>\uff08concatenation\uff09<\/span>\uff0c\u901a\u8fc7\u53e6\u4e00\u4e2a\u53ef\u5b66\u4e60\u7684\u591a\u5c42\u611f\u77e5\u673a\uff0c\u9884\u6d4b\u8282\u70b9\u4e0b\u4e00\u5c42\u7684\u7279\u5f81\u3002<\/span><\/span><\/p>\n


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

\u6700\u540e\uff0c\u5c06\u4ee5\u4e0a\u7ed3\u679c\u8f93\u5165\u89e3\u7801\u5668\uff0c\u9884\u6d4b\u4e0b\u4e00\u4e2a\u65f6\u95f4\u6bcf\u4e2a\u8282\u70b9\u7684\u72b6\u6001\u3002\u5728\u8bad\u7ec3\u65f6\uff0c\u901a\u8fc7\u6700\u5c0f\u5316\u9884\u6d4b\u8bef\u5dee\uff0c\u53cd\u8fc7\u6765\u5b66\u4e60\u4ee5\u4e0a\u7684\u7f16\u7801\u5668\u3001\u89e3\u7801\u5668\u548c\u6d88\u606f\u4f20\u9012\u4e2d\u7684\u53ef\u5b66\u4e60\u7684\u591a\u5c42\u611f\u77e5\u673a\u3002\u603b\u800c\u8a00\u4e4b\uff0c\u8be5\u65b9\u6cd5\u57fa\u4e8e\u5b9e\u9645\u89c2\u6d4b\u6216\u8005\u4eff\u771f\u6570\u636e\uff0c\u901a\u8fc7\u6700\u5c0f\u5316\u9884\u6d4b\u8bef\u5dee\uff0c\u6765\u5b66\u4e60\u7c92\u5b50\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u4ee5\u53ca\u76f8\u4e92\u4f5c\u7528\u5982\u4f55\u6539\u53d8\u7c92\u5b50\u7684\u72b6\u6001\uff0c\u672c\u8d28\u4e0a\u662f\u5b66\u4e60\u4e86\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u3002\u6700\u540e\uff0c\u8be5\u5de5\u4f5c\u8fdb\u884c\u4e86\u4e00\u7cfb\u5217\u7684\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u53d6\u5f97\u4e86\u8f83\u597d\u7684\u51c6\u786e\u5ea6\u548c\u6548\u679c\u3002<\/span><\/span><\/p>\n


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

\u57fa\u4e8e\u8be5\u5de5\u4f5c\uff0c\u6587\u7ae0[15]\u63d0\u51fa\u6df7\u5408\u56fe\u795e\u7ecf\u7f51\u7edc<\/span>\uff08\u56fe 8\uff09<\/span>\uff0c\u9996\u6b21\u5c06\u56fe\u795e\u7ecf\u7f51\u7edc\u7528\u4e8e\u767e\u4e07\u4ee5\u4e0a\u7f51\u683c\u7684\u5730\u4e0b\u6d41\u4f53\u7269\u7406\u4eff\u771f\u3002\u4e3a\u4e86\u964d\u4f4e\u957f\u671f\u9884\u6d4b\u8bef\u5dee\uff0c\u8be5\u65b9\u6cd5\u63d0\u51fa\u8bad\u7ec3\u65f6\u6700\u5c0f\u5316\u591a\u6b65\u9884\u6d4b\u8bef\u5dee<\/span>\uff08\u800c\u4e0d\u662f\u5355\u6b65\u9884\u6d4b\u8bef\u5dee\uff09<\/span>\uff0c\u63d0\u9ad8\u957f\u671f\u9884\u6d4b\u7684\u7cbe\u5ea6\u3002\u540c\u65f6\uff0c\u7531\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u4e2a\u5c40\u57df\u6a21\u578b\uff0c\u5176\u672c\u8d28\u4e0a\u5b66\u4e60\u7684\u662f\u4efb\u4f55\u8282\u70b9\u5982\u4f55\u53d7\u5230\u5468\u56f4\u8282\u70b9\u7684\u4f5c\u7528\uff0c\u56e0\u6b64\uff0c\u8be5\u65b9\u6cd5\u53ea\u9700\u8981\u5341\u591a\u6761\u7cfb\u7edf\u6f14\u5316\u8f68\u8ff9\u6570\u636e\uff0c\u901a\u8fc7\u7a7a\u95f4\u7684\u591a\u6837\u6027\uff0c\u5c31\u53ef\u4ee5\u6cdb\u5316\u5230\u5168\u65b0\u7684\u521d\u59cb\u6761\u4ef6\u548c\u9759\u6001\u53c2\u6570\u3002\u5b9e\u9a8c\u8868\u660e\uff0c\u8be5\u65b9\u6cd5\u76f8\u6bd4\u8d77\u4f20\u7edf\u6570\u503c\u6c42\u89e3\u5668\u52a0\u901f 18 \u500d\uff0c\u76f8\u6bd4\u8d77\u4e4b\u524d\u7684\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\uff0c\u80fd\u591f\u66f4\u52a0\u7cbe\u786e\u5730\u9884\u6d4b\u5730\u4e0b\u6d41\u4f53 20 \u4e2a\u6708\u7684\u6f14\u5316\u3002\u8be5\u65b9\u6cd5\u5df2\u7ecf\u90e8\u7f72\u4e8e\u6c99\u7279\u963f\u7f8e<\/span>\uff08\u5168\u7403\u6700\u5927\u77f3\u6cb9\u516c\u53f8\uff09<\/span>\u7684\u4eff\u771f\u7ba1\u7ebf\u4e2d\uff0c\u642d\u914d\u539f\u6709\u6c42\u89e3\u5668\uff0c\u53ef\u4ee5\u5b9e\u73b0\u4e0d\u540c\u8bbe\u8ba1\u548c\u9006\u95ee\u9898\u7684\u5feb\u901f\u9a8c\u8bc1\u3002<\/span><\/span><\/p>\n


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

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

\u56fe 8 (a) HGNS \u67b6\u6784<\/span><\/span>[15]<\/span><\/sup>; (b) HGNS \u5bf9\u6c34\u6d41\u4f53\u79ef\u7684\u9884\u6d4b\u7ed3\u679c\uff08\u622a\u9762\uff09\u4e0e\u771f\u5b9e\u503c\u6bd4\u8f83\uff0c\u53ef\u89c1\u5176\u572820 \u4e2a\u6708\u5185\u9884\u6d4b\u6548\u679c\u4e0e\u771f\u5b9e\u503c\u7cbe\u786e\u7b26\u5408\u3002<\/span><\/span><\/span><\/span><\/p>\n


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

\u6b64\u540e\uff0c\u501f\u9274 HGNS \u7684\u591a\u6b65\u9884\u6d4b\u65b9\u6cd5\uff0cDeepMind \u8fdb\u4e00\u6b65\u63d0\u51fa GraphCast \u67b6\u6784 <\/span><\/span>[16]<\/span><\/span><\/sup>\uff08\u56fe 9\uff09<\/span>\u7528\u4e8e\u5168\u7403\u5929\u6c14\u9884\u62a5\u3002\u8fd9\u662f\u4e00\u4e2a\u591a\u5c3a\u5ea6\u56fe\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\uff0c\u5728\u5168\u7403\u5927\u6c14\u7684\u4e09\u7ef4\u7f51\u683c\u57fa\u7840\u4e0a\uff0c\u6dfb\u52a0\u4e86\u516d\u4e2a\u5c3a\u5ea6\u7684\u7c97\u7c92\u5316\u7f51\u683c\uff0c\u6bcf\u4e2a\u5c3a\u5ea6\u7684\u8fb9\u8de8\u8d8a\u8ddd\u79bb\u5448\u6307\u6570\u589e\u52a0\uff0c\u5e76\u5728\u6d88\u606f\u4f20\u9012\u65f6\uff0c\u540c\u65f6\u6c47\u805a\u6240\u6709\u5c3a\u5ea6\u7684\u6d88\u606f\u3002\u5982\u6b64\u4e00\u6765\uff0c\u8be5\u7f51\u7edc\u53ef\u4ee5\u5b66\u4e60\u67d0\u4e00\u4f4d\u7f6e\u7684\u5927\u6c14\u7684\u672a\u6765\u72b6\u6001\u5982\u4f55\u53d7\u5230\u4e34\u8fd1\u5c3a\u5ea6<\/span>\uff08\u51e0\u5341\u516c\u91cc\uff09<\/span>\u76f4\u5230\u5168\u7403\u5c3a\u5ea6<\/span>\uff08\u51e0\u5343\u516c\u91cc\uff09<\/span>\u5927\u6c14\u7684\u5f71\u54cd\u3002\u7531\u4e8e\u8be5\u65b9\u6cd5\u6240\u5b66\u6570\u636e\u6765\u6e90\u4e8e\u5b9e\u9645\u89c2\u6d4b\u5e76\u4e14\u6570\u636e\u5145\u8db3\uff0c\u8be5\u65b9\u6cd5\u7684\u7cbe\u5ea6\u8d85\u8fc7\u4e86\u4f20\u7edf\u6c42\u89e3\u5668\uff0c\u5e76\u4e14\u5c06\u5341\u5929\u9884\u6d4b\u7684\u4eff\u771f\u65f6\u95f4\u7531\u4f20\u7edf\u6c42\u89e3\u5668\u7684\u5c0f\u65f6\u91cf\u7ea7\u964d\u5230\u4e86\u5206\u949f\u91cf\u7ea7\u3002<\/span><\/span><\/p>\n


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

\u9664\u4e86\u4ee5\u4e0a\u91cd\u70b9\u4ecb\u7ecd\u7684\u5de5\u4f5c\u4e4b\u5916\uff0c\u57fa\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u7684 AI \u4eff\u771f\u6d8c\u73b0\u51fa\u4e86\u76f8\u5f53\u591a\u5176\u4ed6\u5404\u7c7b\u91cd\u8981\u5de5\u4f5c\u3002\u4f8b\u5982[17]\u63d0\u51fa MeshGraphNets<\/span>\uff08\u7f51\u683c\u56fe\u7f51\u7edc\uff09<\/span>\uff0c\u901a\u8fc7\u975e\u89c4\u5219\u7f51\u683c\u5efa\u6a21\u591a\u4e2a\u521a\u6027\u6216\u67d4\u6027\u7269\u4f53\uff0c\u5e76\u6a21\u62df\u4ed6\u4eec\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002[18]\u63d0\u51fa LAMP<\/span>\uff08\u591a\u5206\u8fa8\u7387\u7269\u7406\u4eff\u771f\uff09<\/span>\u67b6\u6784\u7528\u4e8e\u5efa\u6a21\u591a\u5206\u8fa8\u7387\u7269\u7406\u4eff\u771f\uff0c\u901a\u8fc7\u4e24\u4e2a MeshGraphNets \u5206\u522b\u5b66\u4e60\u7cfb\u7edf\u72b6\u6001\u6f14\u5316\u548c\u7f51\u683c\u7684\u7c97\u5316\u548c\u7ec6\u5316\uff0c\u540c\u65f6\u4f18\u5316\u9884\u6d4b\u8bef\u5dee\u548c\u8ba1\u7b97\u6210\u672c\u3002\u53e6\u5916\uff0c\u51e0\u4f55\u56fe\u795e\u7ecf\u7f51\u7edc<\/span><\/span>[6]<\/span><\/span><\/sup>\u901a\u8fc7\u5c06\u7cfb\u7edf\u5bf9\u5e73\u79fb\u3001\u65cb\u8f6c\u7684\u7b49\u53d8\u6027\u878d\u5165\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u8bbe\u8ba1\u4e2d\uff0c\u53ef\u5b9e\u73b0\u5bf9\u5206\u5b50\u6027\u8d28\u3001\u52a8\u529b\u7cfb\u7edf\u6f14\u5316\u7684\u66f4\u597d\u9884\u6d4b\u3002<\/span><\/span><\/p>\n


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

\u7531\u4e8e\u80fd\u591f\u7075\u6d3b\u7684\u5efa\u6a21\u5404\u7c7b\u5bf9\u8c61\u7684\u76f8\u4e92\u4f5c\u7528\u53ca\u5f71\u54cd\uff0c\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0d\u4ec5\u5e7f\u6cdb\u7528\u4e8e\u5b8f\u89c2\u7cfb\u7edf\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u4eff\u771f\uff0c\u4e5f\u8fd0\u7528\u4e8e\u7c92\u5b50\u7269\u7406\u9884\u6d4b<\/span><\/span>[19]<\/span><\/span><\/sup>\u3001\u7b49\u79bb\u5b50\u4f53\u7269\u7406\u4eff\u771f<\/span><\/span>[20]<\/span><\/span><\/sup>\u3001\u51dd\u805a\u6001\u7269\u7406\u57fa\u6001\u6c42\u89e3<\/span><\/span>[21]<\/span><\/span><\/sup>\u3001\u6750\u6599\u7269\u7406\u6027\u8d28\u9884\u6d4b<\/span><\/span>[22]<\/span><\/span><\/sup>\u3001\u5206\u5b50\u7269\u7406\u4eff\u771f<\/span><\/span>[23]<\/span><\/span><\/sup>\u3001\u5929\u4f53\u7269\u7406\u4eff\u771f<\/span><\/span>[24]<\/span><\/span><\/sup>\u7b49\u3002\u540c\u65f6\uff0c\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u4eff\u771f\u4ecd\u6709\u4ee5\u4e0b\u91cd\u8981\u5f00\u653e\u95ee\u9898\uff1a\uff081\uff09\u5982\u4f55\u8fdb\u4e00\u6b65\u589e\u5927\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u6355\u6349\u66f4\u9ad8\u9636\u7684\u76f8\u4e92\u4f5c\u7528\uff1b\uff082\uff09\u5982\u4f55\u5c06\u56fe\u795e\u7ecf\u7f51\u7edc\u62d3\u5c55\u5230\u66f4\u5927\u89c4\u6a21\u7684\u4eff\u771f\u95ee\u9898\uff0c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u5176\u6548\u7387\u548c\u7cbe\u5ea6\uff1b\uff083\uff09\u5982\u4f55\u66f4\u597d\u5efa\u6a21\u591a\u5c3a\u5ea6\u3001\u591a\u7269\u7406\u573a\u95ee\u9898\u3002\u4ee5\u4e0a\u5f00\u653e\u95ee\u9898\u503c\u5f97\u9886\u57df\u7814\u7a76\u8005\u8fdb\u4e00\u6b65\u63a2\u7d22\uff0c\u5176\u4e2d\uff082\uff09\uff083\uff09\u4e5f\u662f\u5176\u4ed6\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u7528\u4e8e\u79d1\u5b66\u4eff\u771f\u7684\u5f00\u653e\u95ee\u9898\u3002<\/span><\/span><\/p>\n


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

2.3 \u6848\u4f8b\u7814\u7a76\uff1a\u795e\u7ecf\u7b97\u5b50\u7528\u4e8e\u4eff\u771f\u548c\u9884\u6d4b<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 9 GraphCast \u67b6\u6784<\/span><\/span>[16]<\/span><\/span><\/sup>\u3002\u5176\u6784\u5efa\u7684\u591a\u5c3a\u5ea6\u56fe\u795e\u7ecf\u7f51\u7edc\uff0c\u53ef\u4ee5\u540c\u65f6\u6c47\u805a\u5c40\u57df\u548c\u591a\u5c3a\u5ea6\u7684\u4fe1\u606f\u3002<\/span><\/span><\/span><\/p>\n


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

\u9664\u4e86 2.2 \u8282\u4ecb\u7ecd\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\u4e4b\u5916\uff0cTransformer\u3001U-Net\u3001\u795e\u7ecf\u7b97\u5b50\u7b49\u90fd\u662f\u5e38\u7528\u7684\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u3002\u8fd9\u91cc\u91cd\u70b9\u4ecb\u7ecd\u795e\u7ecf\u7b97\u5b50<\/span>\uff08neural operator\uff09<\/span>\u3002\u4e0d\u540c\u4e8e\u901a\u5e38\u7684\u795e\u7ecf\u7f51\u7edc\u5c06\u6709\u9650\u7ef4\u7684\u5411\u91cf\u7a7a\u95f4\u6620\u5c04\u5230\u6709\u9650\u7ef4\u7684\u5411\u91cf\u7a7a\u95f4\uff0c\u795e\u7ecf\u7b97\u5b50\u53ef\u5c06\u65e0\u9650\u7ef4\u7684\u51fd\u6570\u6620\u5c04\u5230\u53e6\u4e00\u65e0\u9650\u7ef4\u7684\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u5176\u975e\u5e38\u9002\u5408\u4e8e\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u4eff\u771f\u95ee\u9898\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u8fb9\u503c\u95ee\u9898\uff0c\u795e\u7ecf\u7b97\u5b50\ud835\udc53<\/span><\/span>\ud835\udf03<\/span><\/span><\/sub>\u53ef\u4ee5\u5c06\u53c2\u6570\u51fd\u6570\ud835\udc4e(\ud835\udc65)<\/span>\uff08\u5305\u542b\u8fb9\u754c\uff09<\/span>\u76f4\u63a5\u6620\u5c04\u5230\u65b9\u7a0b\u7684\u89e3\u51fd\u6570\ud835\udc62(\ud835\udc65)<\/span>\uff08\u56fe 10\uff09<\/span>\u3002\u5bf9\u4e8e\u521d\u503c\u95ee\u9898\uff0c\u795e\u7ecf\u7b97\u5b50\u53ef\u4ee5\u5c06\u521d\u59cb\u6761\u4ef6\ud835\udc62(\ud835\udc61 = 0, \ud835\udc65)\u6620\u5c04\u5230\u6574\u4e2a\u65b9\u7a0b\u7684\u89e3\ud835\udc62(\ud835\udc61, \ud835\udc65)\u3002\u76f8\u6bd4\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc<\/span>\uff08PINN<\/span><\/span>[13]<\/span><\/span><\/sup>\uff09<\/span>\uff0c\u5176\u4e0d\u9700\u8981\u5bf9\u6bcf\u4e00\u4e2a\u65b0\u7684\u53c2\u6570\u6216\u8005\u8fb9\u754c\u6761\u4ef6\u90fd\u91cd\u65b0\u8bad\u7ec3\u6a21\u578b\uff0c\u5927\u5e45\u63d0\u5347\u4e86\u6c42\u89e3\u901f\u5ea6\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 10 \u795e\u7ecf\u7b97\u5b50\u53ef\u4ee5\u5c06\u65e0\u9650\u7ef4\u7684\u51fd\u6570\u6620\u5c04\u5230\u53e6\u4e00\u4e2a\u65e0\u9650\u7ef4\u51fd\u6570\u3002<\/span><\/span><\/p>\n


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

\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u7740\u91cd\u4ecb\u7ecd\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50<\/span>\uff08Fourier Neural Operator\uff0cFNO\uff09<\/span><\/span>[25]<\/span><\/span><\/sup>\uff0c\u4e00\u7c7b\u4ee3\u8868\u6027\u795e\u7ecf\u7b97\u5b50\u3002\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50<\/span>\uff08\u56fe 11\uff09<\/span>\u9996\u5148\u5c06\u53c2\u6570\u51fd\u6570\ud835\udc4e(\ud835\udc65)\u5728\u89c4\u5219\u7f51\u683c\u4e0a\u7684\u91c7\u6837\u7ed3\u679c\u6620\u5c04\u5230\u4e00\u9690\u7a7a\u95f4\ud835\udc63<\/span><\/span>0<\/span><\/span><\/sub>(\ud835\udc65)\uff0c\u63a5\u4e0b\u6765\u901a\u8fc7\ud835\udc47\u5c42\u7684\u5085\u7acb\u53f6\u5c42<\/span>\uff08Fourier layer\uff09<\/span>\u5b9e\u73b0\u51fd\u6570\u6620\u5c04\uff0c\u5176\u6620\u5c04\u65b9\u5f0f\u5305\u542b\u5728\u539f\u7a7a\u95f4\u7684\u5377\u79ef\u64cd\u4f5c\uff0c\u52a0\u4e0a\u4e00\u4e2a\u5c40\u57df\u7684\u7ebf\u6027\u53d8\u6362\uff0c\u6700\u540e\u7ecf\u8fc7\u4e00\u4e2a\u975e\u7ebf\u6027\u51fd\u6570\ud835\udf0e\uff1a<\/span><\/span><\/p>\n


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

\ud835\udc63<\/span><\/span>\ud835\udc61+1<\/span><\/span><\/sub>(\ud835\udc65) \u2254 \ud835\udf0e(\ud835\udc4a\ud835\udc63<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>(\ud835\udc65) + (\ud835\udca6(\ud835\udc4e; \ud835\udf19)\ud835\udc63<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>)(\ud835\udc65))\t(3)<\/span><\/span><\/p>\n


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

\u5176\u4e2d\uff0c\u7531\u4e8e\u539f\u7a7a\u95f4\u7684\u5377\u79ef\u64cd\u4f5c\u5bf9\u5e94\u4e8e\u9891\u57df\u7a7a\u95f4\u4e2d\u7684\u76f8\u4e58\u64cd\u4f5c\uff0c\u56e0\u6b64\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50\u5c06\u5377\u79ef\u64cd\u4f5c\u8fdb\u4e00\u6b65\u7b80\u5316\u4e3a\uff1a<\/span><\/span><\/p>\n


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

<\/section>\n


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

\u8fd9\u91cc\ud835\udc45<\/span><\/span>\ud835\udf19<\/span><\/span><\/sub>\u4e3a\u53ef\u5b66\u4e60\u7684\u77e9\u9635\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50\u53ef\u4ee5\u540c\u65f6\u6355\u6349\u5168\u5c40\u548c\u5c40\u57df\u7684\u4fe1\u606f\uff0c\u5e76\u8fdb\u884c\u9ad8\u6548\u3001\u51c6\u786e\u7684\u9884\u6d4b\u3002<\/span><\/span><\/p>\n


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

\u57fa\u4e8e\u57fa\u672c\u6a21\u578b\u67b6\u6784\uff0cFNO \u5df2\u7ecf\u88ab\u5e94\u7528\u4e8e\u8bb8\u591a\u91cd\u8981\u7684\u79d1\u5b66\u9886\u57df\u3002\u4f8b\u5982\uff0c\u6587\u7ae0[26]\u4e2d\u63d0\u51fa\u4e86 FourCastNet\uff0c\u4e00\u4e2a\u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u7684\u5168\u7403\u9ad8\u5206\u8fa8\u7387\u5929\u6c14\u9884\u62a5\u6a21\u3002\u5176\u7ed3\u5408\u4e86\u57fa\u4e8e\u5085\u7acb\u53f6\u53d8\u6362\u7684 token-mixing \u548c Vision Transformer<\/span> (ViT) <\/span>\u9aa8\u5e72\u7f51\u7edc\uff0c\u5085\u7acb\u53f6\u53d8\u5316\u4f7f\u5f97\u6a21\u578b\u53ef\u4ee5\u5728\u5206\u8fa8\u7387\u65e0\u5173\u7684\u65b9\u5f0f\u4e0b\u5b66\u4e60\uff0c\u800c ViT \u9aa8\u5e72\u7f51\u7edc\u64c5\u957f\u5904\u7406\u957f\u7a0b\u4f9d\u8d56\u3002\u5b9e\u9a8c\u8868\u660e\uff0c\u5b83\u6bd4\u4f20\u7edf\u6570\u503c\u6a21\u578b\u5feb 45,000 \u500d\uff0c\u80fd\u591f\u4ee5\u6781\u4f4e\u7684\u8ba1\u7b97\u6210\u672c\u751f\u6210\u5927\u89c4\u6a21\u96c6\u6210\u9884\u62a5\uff0c\u5c24\u5176\u5728\u6781\u7aef\u5929\u6c14\u4e8b\u4ef6\u7684\u9884\u62a5\u4e2d\u8868\u73b0\u51fa\u8272\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 11 \u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50<\/span><\/span>[26]<\/span><\/span><\/sup>\u7684\u7f51\u7edc\u67b6\u6784\u3002<\/span><\/span><\/span><\/p>\n


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

\u9664\u6b64\u4e4b\u5916\uff0cFNO \u4e5f\u88ab\u5e94\u7528\u5728\u78b3\u6355\u96c6\u4e0e\u5c01\u5b58<\/span>\uff08Carbon Capture and Storage, CCS\uff09<\/span> \u9886\u57df\u4e2d\u3002\u73b0\u6709\u7684\u6570\u503c\u65b9\u6cd5\u5728\u5927\u89c4\u6a21\u4e0b\u8fdb\u884c\u9ad8\u7cbe\u5ea6\u50a8\u5c42\u538b\u529b\u548c\u6c14\u4f53\u7fbd\u6d41\u8fc1\u79fb\u5efa\u6a21\u65f6\uff0c\u8ba1\u7b97\u6210\u672c\u975e\u5e38\u9ad8\uff0c\u5bfc\u81f4\u8bc4\u4f30\u5b58\u5728\u663e\u8457\u4e0d\u786e\u5b9a\u6027\uff0c\u8fdb\u800c\u963b\u788d\u4e86\u5927\u89c4\u6a21 CCS \u7684\u90e8\u7f72\u3002\u6587\u7ae0[27]\u4e2d\u63d0\u51fa\u4e86\u5d4c\u5957\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50<\/span>\uff08Nested FNO\uff09<\/span>\uff0c\u7528\u4e8e\u5728\u76c6\u5730\u5c3a\u5ea6\u4e0a\u8fdb\u884c\u9ad8\u5206\u8fa8\u7387\u7684 3D CO2 \u50a8\u5b58\u7684\u52a8\u6001\u5efa\u6a21\u3002\u4e0e\u73b0\u6709\u65b9\u6cd5\u76f8\u6bd4\uff0cNested FNO \u5c06\u6d41\u52a8\u9884\u6d4b\u901f\u5ea6\u63d0\u5347\u4e86\u8fd1 70 \u4e07\u500d\uff0c\u5e76\u901a\u8fc7\u5b66\u4e60\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\u7684\u89e3\u7b97\u5b50\uff0c\u4e3a\u4e0d\u540c\u50a8\u5c42\u6761\u4ef6\u3001\u5730\u8d28\u5f02\u8d28\u6027\u548c\u6ce8\u5165\u65b9\u6848\u63d0\u4f9b\u4e86\u901a\u7528\u7684\u6570\u503c\u6a21\u62df\u66ff\u4ee3\u65b9\u6848\uff0c\u5b9e\u73b0\u4e86\u524d\u6240\u672a\u6709\u7684\u5b9e\u65f6\u5efa\u6a21\u548c\u6982\u7387\u6a21\u62df\uff0c\u652f\u6301\u5168\u7403 CCS \u90e8\u7f72\u7684\u6269\u5c55\u3002<\/span><\/span><\/p>\n


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


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

\n
\n
\n
\n
\n

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

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

3. <\/span>\u4eba\u5de5\u667a\u80fd\u7528\u4e8e\u79d1\u5b66\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

\u9664\u4e86\u4eff\u771f\uff0c\u8bbe\u8ba1\u548c\u63a7\u5236\u4e5f\u662f\u5404\u4e2a\u79d1\u5b66\u9886\u57df\u7684\u6838\u5fc3\u3001\u666e\u9002\u95ee\u9898\u3002\u5bf9\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236\u95ee\u9898\uff0c\u4eba\u4eec\u901a\u5e38\u7ed9\u5b9a\u4e00\u4e2a\u76ee\u6807\u51fd\u6570\ud835\udc3d(\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup>,  \ud835\udc5a<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup>)\uff0c\u5176\u4e3a\u72b6\u6001\u8f68\u8ff9<\/span><\/span>\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup><\/span><\/span><\/span>\u548c\u63a7\u5236\u5e8f\u5217\ud835\udc5a<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\u7684\u51fd\u6570\u3002\u8bbe\u8ba1\u548c\u63a7\u5236\u7684\u4efb\u52a1\u8bbe\u7f6e\u4fbf\u662f\u4f18\u5316\u521d\u59cb\u6761\u4ef6\ud835\udc62<\/span><\/span>0<\/span><\/span><\/sup>\uff0c\u63a7\u5236\u5e8f\u5217\ud835\udc5a<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\uff0c<\/span><\/span><\/p>\n


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

\u53c2\u6570\ud835\udc4e\u4ee5\u53ca\u8fb9\u754c\ud835\udf15\ud835\udd4f\uff0c\u4f7f\u5f97\u76ee\u6807\u51fd\u6570\ud835\udc3d\u6700\u5c0f\u5316\uff0c\u5982\u4e0b\u56fe 12 \u6240\u793a\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 12 \u79d1\u5b66\u8bbe\u8ba1\u548c\u63a7\u5236\u7684\u4efb\u52a1\u8bbe\u7f6e\u3002\u6839\u636e\u76ee\u6807\ud835\udc3d\uff0c\u4f18\u5316\u521d\u59cb\u6761\u4ef6\ud835\udc62<\/span><\/span>0<\/span><\/span><\/sup>,\u63a7\u5236\u5e8f\u5217\ud835\udc5a<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\uff0c\u53c2\u6570\ud835\udc4e\u6216\u8005\u8fb9\u754c\ud835\udf15\ud835\udd4f\u3002<\/span><\/span><\/span><\/p>\n


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

\u5bf9\u4e8e\u4e0d\u540c\u7684\u5f85\u4f18\u5316\u53d8\u91cf\u548c\u4f18\u5316\u76ee\u6807\uff0c\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u4e09\u7c7b\u4efb\u52a1\uff1a<\/span><\/span><\/p>\n

\uff081\uff09\u9006\u5411\u8bbe\u8ba1\uff1a<\/span>\u6839\u636e\u8bbe\u8ba1\u76ee\u6807\u51fd\u6570\ud835\udc3d\uff0c\u4f18\u5316\u8fb9\u754c\ud835\udf15\ud835\udd4f\u3001\u521d\u59cb\u6761\u4ef6\ud835\udc62<\/span><\/span>0<\/span><\/span><\/sup>\u6216\u8005\u53c2\u6570 \ud835\udc4e\u3002<\/span><\/span><\/p>\n

\uff082\uff09\u9006\u95ee\u9898\uff1a<\/span>\u6839\u636e\u7a00\u758f\u89c2\u6d4b\uff0c\u63a8\u6d4b\u7cfb\u7edf\u7684\u521d\u59cb\u6761\u4ef6\ud835\udc62<\/span><\/span>0<\/span><\/span><\/sup>\u6216\u8005\u53c2\u6570\ud835\udc4e\uff0c\u4f7f\u5f97\u6a21\u578b\u5bf9\u7cfb\u7edf\u7684\u9884\u6d4b\u4e0e\u89c2\u6d4b\u76f8\u7b26\u3002\u8fd9\u91cc\u7684\u76ee\u6807\u51fd\u6570\ud835\udc3d\u4e00\u822c\u4e3a\u9884\u6d4b\u8bef\u5dee<\/span>\uff08\u4f8b\u5982 MSE\uff09<\/span>\u3002\u7531\u4e8e\u9006\u95ee\u9898\u4e0e\u9006\u5411\u8bbe\u8ba1\u95ee\u9898\u975e\u5e38\u76f8\u4f3c\uff0c\u6211\u4eec\u8fd9\u91cc\u5c06\u5176\u5f52\u7c7b\u5230\u8bbe\u8ba1\u95ee\u9898\u5f53\u4e2d\u3002<\/span><\/span><\/p>\n

\uff083\uff09\u63a7\u5236\uff1a<\/span>\u6839\u636e\u63a7\u5236\u76ee\u6807\ud835\udc3d\uff0c\u6c42\u89e3\u63a5\u8fd1\u6700\u4f18\u7684\u63a7\u5236\u5e8f\u5217\ud835\udc5a<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\u3002<\/span><\/span><\/p>\n


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

\u4e00\u822c\u6765\u8bf4\uff0c\u4e0a\u8ff0\u8bbe\u8ba1\u548c\u63a7\u5236\u95ee\u9898\u5177\u6709\u5f88\u5927\u7684\u6311\u6218\u6027\uff0c\u5177\u4f53\u8868\u73b0\u4e3a\u4ee5\u4e0b\u4e09\u4e2a\u65b9\u9762\uff1a<\/span><\/span><\/p>\n

\uff081\uff09\u9ad8\u7ef4\u7684\u8bbe\u8ba1<\/span><\/span>\/<\/span><\/span><\/strong>\u63a7\u5236\u53d8\u91cf\u4f18\u5316\u7a7a\u95f4\uff1a<\/span>\u5bf9\u4e8e\u5f88\u591a\u95ee\u9898\uff0c\u5176\u9700\u8981\u4f18\u5316\u7684\u8bbe\u8ba1\u53d8\u91cf<\/span>\uff08\u4f8b\u5982\u7f51\u683c\u8868\u793a\u7684\u5f62\u72b6\u3001\u86cb\u767d\u8d28\u5e8f\u5217\uff09<\/span>\u6216\u8005\u63a7\u5236\u53d8\u91cf<\/span>\uff08\u4f8b\u5982\u8f6f\u4f53\u673a\u5668\u4eba\u7684\u5f62\u72b6\u63a7\u5236\uff09<\/span>\u672c\u8eab\u5c31\u662f\u9ad8\u7ef4\u7684\uff0c\u5982\u4f55\u5728\u8fd9\u4e00\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u4f18\u5316\u51fa\u63a5\u8fd1\u6700\u4f18\u7684\u7ed3\u679c\u5177\u6709\u5f88\u5927\u6311\u6218\u3002<\/span><\/span><\/p>\n

\uff082\uff09\u590d\u6742\u7684\u7cfb\u7edf\u52a8\u529b\u5b66\uff1a<\/span>\u7ed9\u5b9a\u8bbe\u8ba1\u548c\u63a7\u5236\u53d8\u91cf\uff0c\u7cfb\u7edf\u672c\u8eab\u7684\u4eff\u771f\u672c\u8eab\u53ef\u80fd\u5c31\u975e\u5e38\u590d\u6742\u3001\u8017\u65f6<\/span>\uff08\u5982\u7b2c 2 \u8282\u6240\u8ff0\uff09<\/span>\uff0c\u800c\u6bcf\u4e00\u6b21\u6539\u53d8\u8bbe\u8ba1\u548c\u63a7\u5236\u53d8\u91cf\uff0c\u4f20\u7edf\u65b9\u6cd5\u90fd\u53ef\u80fd\u8981\u91cd\u65b0\u8fdb\u884c\u4e00\u6b21\u4eff\u771f\uff0c\u56e0\u6b64\u66f4\u52a0\u8017\u65f6\u3002<\/span><\/span><\/p>\n

\uff083\uff09\u6cdb\u5316\u5230\u5168\u65b0\u8bbe\u8ba1<\/span><\/span>\/<\/span><\/span><\/strong>\u63a7\u5236\uff1a<\/span>\u5bf9\u4e8e\u57fa\u4e8e AI \u7684\u8bbe\u8ba1\u548c\u63a7\u5236\uff0c\u5f80\u5f80\u9700\u8981\u6cdb\u5316\u5230\u8d85\u51fa\u8bad\u7ec3\u96c6\u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u7684\u5206\u5e03\uff0c\u4ece\u800c\u6784\u9020\u51fa\u4e4b\u524d\u6ca1\u6709\u7684\u65b0\u7684\u8bbe\u8ba1\uff0c\u6216\u8005\u5177\u6709\u66f4\u52a0\u4f18\u8d8a\u6027\u80fd\u7684\u63a7\u5236\u5e8f\u5217\u3002\u8fd9\u5bf9\u795e\u7ecf\u7f51\u7edc\u7684\u6cdb\u5316\u6027\u63d0\u51fa\u4e86\u66f4\u9ad8\u7684\u8981\u6c42\u3002<\/span><\/span><\/p>\n


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

\u5bf9\u4e8e<\/span>\u63a7\u5236<\/span>\u95ee\u9898\uff0c\u5728\u79d1\u5b66\u548c\u5de5\u7a0b\u4e2d\u6700\u5e38\u7528\u7684\u662f PID<\/span>\uff08\u6bd4\u4f8b-\u79ef\u5206-\u5fae\u5206\uff09<\/span>\u65b9\u6cd5\uff0c\u5c06\u5f53\u524d\u7cfb\u7edf\u72b6\u6001\u4e0e\u76ee\u6807\u72b6\u6001\u7684\u5dee\u503c\u901a\u8fc7\u6bd4\u4f8b\u3001\u79ef\u5206\u548c\u5fae\u5206\u8fd0\u7b97\u53cd\u9988\u5230\u5bf9\u7cfb\u7edf\u7684\u63a7\u5236\u8f93\u5165\u4e2d\uff0c\u4fc3\u4f7f\u7cfb\u7edf\u72b6\u6001\u8d8b\u5411\u76ee\u6807\u3002\u5c3d\u7ba1 PID \u65b9\u6cd5\u5341\u5206\u5bb9\u6613\u7f16\u7a0b\uff0c\u4f46\u8c03\u8282\u5176\u7cfb\u6570\u9700\u8981\u5f88\u591a\u7684\u4e13\u5bb6\u7ecf\u9a8c\u3002\u540c\u65f6\uff0c\u5bf9\u4e8e\u9ad8\u7ef4\u3001\u5f3a\u8026\u5408\u7684\u7cfb\u7edf\uff0cPID \u65b9\u6cd5\u96be\u4ee5\u80dc\u4efb\u3002\u5bf9\u4e8e<\/span>\u8bbe\u8ba1<\/span>\u95ee\u9898\uff0c\u5e38\u7528\u7684\u4f20\u7edf\u65b9\u6cd5\u662f\u5c06\u7cfb\u7edf\u7684\u4eff\u771f\u4f5c\u4e3a\u5185\u5faa\u73af\uff0c\u4ece\u521d\u59cb\u7684\u8bbe\u8ba1\u5f00\u59cb\uff0c\u6bcf\u4e00\u6b21\u6539\u53d8\u8bbe\u8ba1\u90fd\u9700\u8981\u91cd\u65b0\u7528\u4f20\u7edf\u6c42\u89e3\u5668\u505a\u4e00\u6b21\u4eff\u771f\uff0c\u518d\u6839\u636e\u4eff\u771f\u7ed3\u679c\u6539\u8fdb\u7cfb\u7edf\u7684\u8bbe\u8ba1\uff0c\u56e0\u800c\u975e\u5e38\u8017\u65f6\u3002<\/span><\/span><\/p>\n


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

\u7531\u4e8e\u4eba\u5de5\u667a\u80fd\u7684\u5feb\u901f\u53d1\u5c55\uff0c\u8fd1\u51e0\u5e74\u6d8c\u73b0\u51fa\u4e86\u975e\u5e38\u591a\u57fa\u4e8e AI \u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u65b9\u6cd5\uff0c\u5305\u62ec\u4ee3\u7406\u6a21\u578b\u7ed3\u5408\u53cd\u5411\u4f20\u64ad\u3001\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u3001\u751f\u6210\u6a21\u578b\u3001PINN\u3001\u8d1d\u53f6\u65af\u63a8\u65ad\u3001\u76f4\u63a5\u6620\u5c04\u7b49\u3002\u672c\u6587\u5c06\u91cd\u70b9\u4ecb\u7ecd\u524d\u56db\u7c7b\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n


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

3.1 \u4ee3\u7406\u6a21\u578b\u7ed3\u5408\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\u7528\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/span><\/p>\n


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

\u57fa\u4e8e\u7b2c\u4e8c\u8282\u6240\u8ff0\u7684 AI \u4eff\u771f\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5c06\u5176\u7528\u4e8e\u4e0b\u6e38\u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u4efb\u52a1\u3002\u7531\u4e8e AI \u4eff\u771f\u6a21\u578b\u662f\u53ef\u5bfc<\/span>\uff08differentiable\uff09<\/span>\u7684\uff0c\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u53cd\u5411\u4f20\u64ad<\/span>\uff08backpropagation\uff09<\/span>\uff0c\u5c06\u76ee\u6807\ud835\udc3d\u5bf9\u6240\u9700\u4f18\u5316\u7684\u53d8\u91cf<\/span>\uff08\u4f8b\u5982\u8fb9\u754c\u3001\u53c2\u6570\u3001\u63a7\u5236\u5e8f\u5217\u7b49\uff09<\/span>\u6c42\u5bfc\uff0c\u4ee5\u5f97\u5230\u66f4\u597d\u7684\u8bbe\u8ba1\u53c2\u6570\u6216\u8005\u63a7\u5236\u5e8f\u5217\u3002\u4f8b\u5982\uff0cDeepMind \u7684\u5de5\u4f5c<\/span><\/span>[28]<\/span><\/span><\/sup>\u63d0\u51fa\u8fd9\u4e00\u65b9\u6cd5\u8fdb\u884c\u7cfb\u7edf\u8fb9\u754c\u5f62\u72b6\u7684\u8bbe\u8ba1\u3002\u9996\u5148\uff0c\u5176\u901a\u8fc7 MeshGraphNets \u6765\u5b66\u4e60\u7cfb\u7edf\u7684\u4eff\u771f\u4ee3\u7406\u6a21\u578b\u3002\u8fd9\u4e00\u4ee3\u7406\u6a21\u578b\u6839\u636e\u7cfb\u7edf\u7684\u8fb9\u754c\u5f62\u72b6\u4ee5\u53ca\u521d\u59cb\u6761\u4ef6\uff0c\u9884\u6d4b\u7cfb\u7edf\u672a\u6765\u7684\u6f14\u5316\u3002\u5728\u8bbe\u8ba1\u8fb9\u754c\u7684\u65f6\u5019\uff0c\u5c06\u4ee3\u7406\u6a21\u578b\u7684\u6574\u4e2a\u4eff\u771f\u8f68\u8ff9\u5c55\u5f00\uff0c\u6839\u636e\u7ed9\u5b9a\u7684\u8bbe\u8ba1\u76ee\u6807\u53cd\u5411\u4f20\u64ad\uff0c\u4ee5\u6b64\u4f18\u5316\u7cfb\u7edf\u8fb9\u754c\u5f62\u72b6\u3002\u6587\u7ae0<\/span><\/span>[28]\u5728\u6d41\u4f53\u8fb9\u754c\u5f62\u72b6\u4f18\u5316\u3001\u98de\u673a\u7ffc\u578b\u4f18\u5316<\/span>\uff08\u56fe 13\uff09<\/span>\u7b49\u4efb\u52a1\u4e2d\u5c55\u73b0\u4e86\u4f18\u5f02\u7684\u6027\u80fd\uff0c\u8fbe\u5230\u6216\u8005\u8d85\u8fc7\u4f20\u7edf\u6c42\u89e3\u5668<\/span>\uff08\u4f8b\u5982 DAFoam\uff09<\/span>\u7684\u4f18\u5316\u7ed3\u679c\uff0c\u5e76\u4e14\u6548\u7387\u66f4\u9ad8\u3002<\/span><\/span><\/sup><\/p>\n


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

<\/section>\n

\u56fe 13 \u5728\u5de5\u4f5c[28]\u4e2d\u5bf9\u98de\u673a\u7ffc\u578b\u7684\u8bbe\u8ba1\uff0c\u4f18\u5316\u76ee\u6807\u4e3a\u51cf\u5c0f\u963b\u529b\u3002\u6587\u7ae0\u63d0\u51fa\u7684\u57fa\u4e8e\u4ee3\u7406\u6a21\u578b+\u53cd\u5411\u4f20\u64ad\u7684\u65b9\u6cd5\u8fbe\u5230\u4f20\u7edf\u6c42\u89e3\u5668\uff08DAFoam\uff09\u4f18\u5316\u7684\u6027\u80fd\uff0c\u5e76\u4e14\u901f\u5ea6\u66f4\u5feb\u3002<\/span><\/span><\/p>\n


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

\u8fd9\u4e00\u5de5\u4f5c\u4e4b\u540e\uff0c\u4e0d\u540c\u5de5\u4f5c\u8fdb\u884c\u4e86\u8fdb\u4e00\u6b65\u6539\u8fdb\u3002\u4f8b\u5982\uff0c[29]\u63d0\u51fa\u5728\u53ef\u5b66\u4e60\u7684\u9690\u7a7a\u95f4\u8fdb\u884c\u4eff\u771f\u548c\u53cd\u5411\u4f20\u64ad\u8bbe\u8ba1\uff0c\u76f8\u5bf9\u4e8e\u5728\u539f\u7a7a\u95f4\u8fdb\u884c\u8bbe\u8ba1\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u8bbe\u8ba1\u7684\u6548\u7387\u3002[30]\u53d1\u73b0\uff0c\u5bf9\u4e8e\u9006\u95ee\u9898\uff0c\u5f53\u9700\u8981\u4f18\u5316\u7684\u53c2\u6570\u6216\u8005\u521d\u59cb\u6761\u4ef6\u53d8\u91cf\u7ef4\u5ea6\u5f88\u9ad8\u65f6\uff0c\u76f4\u63a5\u5728\u539f\u7a7a\u95f4\u8fdb\u884c\u4f18\u5316\u4f1a\u51fa\u73b0\u5f88\u591a\u5177\u6709\u9ad8\u9891\u566a\u58f0\u7684\u5bf9\u6297\u6837\u672c<\/span>\uff08\u5982\u56fe 14 \u4e2d\u7b2c\u4e00\u884c without prior \u6240\u793a\uff09<\/span>\u3002\u8fd9\u662f\u7531\u4e8e\u5728\u8bad\u7ec3\u65f6\uff0c\u4ee3\u7406\u6a21\u578b\u53ea\u770b\u5230\u4e86\u771f\u5b9e\u7cfb\u7edf\u7684\u6f14\u5316\uff0c\u800c\u5f53\u8f93\u5165\u7ef4\u5ea6\u5f88\u9ad8\u65f6\uff0c\u5728\u771f\u5b9e\u6837\u672c\u7684\u5468\u56f4\uff0c\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u4ee3\u7406\u6a21\u578b\u4f1a\u6709\u5f88\u591a\u201c\u5bf9\u6297\u6837\u672c\u201d\uff0c\u5176\u672c\u8eab\u5e76\u4e0d\u7b26\u5408\u7269\u7406\uff0c\u4f46\u795e\u7ecf\u7f51\u7edc\u4ecd\u6709\u53ef\u80fd\u4f18\u5316\u51fa\u4f7f\u5f97\u8bbe\u8ba1\u76ee\u6807\u5f88\u597d\u7684\u7ed3\u679c\u3002\u5bf9\u4e8e\u8fd9\u4e00\u95ee\u9898\uff0c[30]\u63d0\u51fa\u5728\u9690\u7a7a\u95f4\u8fdb\u884c\u4f18\u5316\uff0c\u7531\u4e8e\u9690\u7a7a\u95f4\u7684\u6bcf\u4e00\u4e2a\u5411\u91cf\u90fd\u80fd\u6620\u5c04\u5230\u4e00\u4e2a\u7b26\u5408\u5148\u9a8c\u7684\u521d\u59cb\u6761\u4ef6\uff0c\u56e0\u6b64\u907f\u514d\u4e86\u5bf9\u6297\u6837\u672c\u7684\u95ee\u9898\u3002\u5728\u540e\u6587\u7684 3.3\u8282\uff0c\u6211\u4eec\u4f1a\u4ecb\u7ecd\u751f\u6210\u6a21\u578b\u65b9\u6cd5\uff0c\u4e5f\u53ef\u4ee5\u89e3\u51b3\u8fd9\u4e2a\u5bf9\u6297\u6837\u672c\u7684\u95ee\u9898\u3002<\/span><\/span><\/p>\n


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

3.2 \u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u7528\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 14 \u6587\u7ae0[30]\u4e2d\u5b9e\u9a8c\u7ed3\u679c\u3002\u5bf9\u4e8e\u9006\u95ee\u9898\uff0c\u5982\u679c\u5728\u539f\u7a7a\u95f4\u8fdb\u884c\u53cd\u5411\u4f20\u64ad\u4f18\u5316\u7cfb\u7edf\u521d\u59cb\u6761\u4ef6\uff08\u7b2c\u4e00\u884c\uff0cwithout prior\uff09\uff0c\u5219\u4f1a\u4f18\u5316\u51fa\u5177\u6709\u9ad8\u9891\u566a\u58f0\u7684\u5bf9\u6297\u6837\u672c\u3002\u800c\u6839\u636e\u6587\u7ae0\u6240\u63d0\u51fa\u7684\u5728\u9690\u7a7a\u95f4\u8fdb\u884c\u8bbe\u8ba1\uff0c\u7531\u4e8e\u6709\u4e86\u5148\u9a8c\u77e5\u8bc6\uff0c\u5219\u80fd\u4f18\u5316\u51fa\u4e0e\u771f\u5b9e\u503c\u975e\u5e38\u4e00\u81f4\u7684\u521d\u59cb\u6761\u4ef6\u3002<\/span><\/span><\/p>\n


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

\u9664\u4e86\u4ee3\u7406\u6a21\u578b\u7ed3\u5408\u53cd\u5411\u4f20\u64ad\u7684\u65b9\u6cd5\uff0c\u53e6\u4e00\u7c7b\u91cd\u8981\u7684\u8bbe\u8ba1\u548c\u63a7\u5236\u65b9\u6cd5\u4e3a\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u3002\u5f3a\u5316\u5b66\u4e60\u7684\u8bbe\u7f6e\u5982\u4e0b\uff0c\u5176\u5305\u542b\u4e00\u4e2a\u667a\u80fd\u4f53<\/span>\uff08agent\uff09<\/span>\u548c\u73af\u5883<\/span>\uff08environment\uff09<\/span>\u7684\u4ea4\u4e92<\/span>\uff08\u56fe 15\uff09<\/span>\uff0c\u5728\u6bcf\u4e00\u4e2a\u65f6\u95f4\u6b65\uff0c\u667a\u80fd\u4f53\u6839\u636e\u5f53\u524d\u72b6\u6001\ud835\udc46<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>\uff0c\u51b3\u7b56\u4e0b\u4e00\u6b65\u884c\u52a8\ud835\udc34<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>\uff0c\u73af\u5883\u6839\u636e\u5f53\u524d\u72b6\u6001\ud835\udc46<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>\u548c\u884c\u52a8\ud835\udc34<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>\u5f97\u5230\u4e0b\u4e00\u6b65\u7684\u72b6\u6001\ud835\udc46<\/span><\/span>\ud835\udc61+1<\/span><\/span><\/sub>\u548c\u7ed9\u667a\u80fd\u4f53\u7684\u5956\u52b1\ud835\udc45<\/span><\/span>\ud835\udc61+1<\/span><\/span><\/sub>\u3002\u5f3a\u5316\u5b66\u4e60\u7684\u76ee\u6807\u662f\u5b66\u4e60\u4e00\u4e2a\u7b56\u7565\u51fd\u6570\ud835\udf0b(\ud835\udc34<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>|\ud835\udc46<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>)\uff0c\u4f7f\u5f97\u5176\u957f\u671f\u7684\u671f\u671b\u5956\u52b1\ud835\udd3c<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>[\ud835\udc45<\/span><\/span>\ud835\udc61<\/span><\/span><\/sub>]\u6700\u5927\u5316\uff1a<\/span><\/span><\/p>\n


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

<\/section>\n


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

\u5f53\u7b56\u7565\u51fd\u6570\u7528\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u53c2\u6570\u5316\u65f6\uff0c\u79f0\u4e3a\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 15 \u5f3a\u5316\u5b66\u4e60\u8bbe\u7f6e\u3002<\/span><\/span><\/p>\n


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

\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u5df2\u5728\u5404\u7c7b\u79d1\u5b66\u63a7\u5236\u4efb\u52a1\u4e2d\u5f97\u5230\u5e7f\u6cdb\u5e94\u7528\u3002\u4f8b\u5982\uff0cDegrave \u7b49<\/span><\/span>[16]<\/span><\/span><\/sup>\u9996\u6b21\u5c06\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u7528\u4e8e\u78c1\u7ea6\u675f\u53ef\u63a7\u6838\u805a\u53d8\u4e2d\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\u7684\u63a7\u5236\u3002\u53ef\u63a7\u6838\u805a\u53d8\u5982\u679c\u6210\u529f\uff0c\u5373\u7a33\u5b9a\u5b9e\u73b0\u8f93\u51fa\u80fd\u91cf\u5927\u4e8e\u8f93\u5165\u80fd\u91cf\uff0c\u90a3\u4e48\u4eba\u7c7b\u5c31\u80fd\u83b7\u5f97\u51e0\u4e4e\u65e0\u5c3d\u7684\u514d\u8d39\u80fd\u6e90\uff0c\u5e76\u53ef\u540c\u65f6\u89e3\u51b3\u5168\u7403\u53d8\u6696\u7684\u6311\u6218\u3002\u78c1\u7ea6\u675f\u53ef\u63a7\u6838\u805a\u53d8\u5c06\u4e0a\u5343\u4e07\u5230\u4e0a\u4ebf\u5ea6\u7684\u7b49\u79bb\u5b50\u4f53\u901a\u8fc7\u78c1\u573a\u7ea6\u675f\u5728\u4e00\u4e2a\u8f6e\u80ce\u578b\u7684\u5927\u578b\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\u4e2d<\/span>\uff08\u56fe 16\uff09<\/span>\uff0c\u7531\u4e8e\u6e29\u5ea6\u6781\u9ad8\uff0c\u8d28\u91cf\u8f83\u8f7b\u7684\u539f\u5b50\u6838\u4f1a\u78b0\u649e\u805a\u53d8\u6210\u66f4\u91cd\u7684\u539f\u5b50\u6838\uff0c\u540c\u65f6\u91ca\u653e\u5de8\u5927\u7684\u80fd\u91cf\u3002\u8fd9\u4e00\u5de5\u4f5c\u7684\u5b9e\u9a8c\u4efb\u52a1\u662f\u6839\u636e 92 \u4e2a\u4f20\u611f\u5668\u7684\u4fe1\u53f7\uff0c\u8c03\u8282 19 \u4e2a\u7ebf\u5708\u7684\u7535\u6d41\uff0c\u4ea7\u751f\u78c1\u573a\u63a7\u5236\u4fe1\u53f7\uff0c\u4f7f\u5f97\u7b49\u79bb\u5b50\u4f53\u80fd\u591f\u88ab\u56da\u7981\u5728\u88c5\u7f6e\u4e2d\u5e76\u7a33\u5b9a\u653e\u7535\u3002\u7531\u4e8e\u88c5\u7f6e\u6781\u5176\u590d\u6742\uff0c\u7b49\u79bb\u5b50\u4f53\u52a8\u529b\u5b66\u5f80\u5f80\u8de8\u8d8a\u591a\u4e2a\u5c3a\u5ea6\uff0c\u63a7\u5236\u9891\u7387\u975e\u5e38\u9ad8<\/span>\uff0810kHz \u9891\u7387\uff09<\/span>\uff0c\u5bfc\u81f4\u8fd9\u4e00\u63a7\u5236\u4efb\u52a1\u975e\u5e38\u56f0\u96be\uff0c\u4f20\u7edf\u7684 PID \u63a7\u5236\u65b9\u6cd5<\/span>\uff08\u56fe 17f\uff09<\/span>\u96be\u4ee5\u80dc\u4efb\u8fd9\u4e00\u4efb\u52a1\u3002<\/span><\/span><\/p>\n


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

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

\u56fe 16 \u4f4d\u4e8e\u745e\u58eb\u7684 TCV \u78c1\u7ea6\u675f\u53ef\u63a7\u6838\u805a\u53d8\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\u3002<\/span><\/span><\/p>\n


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

\u57fa\u4e8e\u4ee5\u4e0a\u6311\u6218\uff0c\u4f5c\u8005\u9996\u6b21\u63d0\u51fa\u57fa\u4e8e\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u7528\u4e8e\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\u7684\u63a7\u5236<\/span>\uff08\u56fe 17\uff09<\/span>\u3002\u9996\u5148\uff0c\u4f5c\u8005\u5728\u57fa\u4e8e\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u7684\u6c42\u89e3\u5668\u4eff\u771f\u73af\u5883\u4e2d\uff0c\u5bf9\u5f3a\u5316\u5b66\u4e60\u667a\u80fd\u4f53\u8fdb\u884c\u8bad\u7ec3\u3002\u5176\u5c06\u73af\u5883\u5b9a\u4e49\u4e3a\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\uff0c\u7cfb\u7edf\u72b6\u6001\u4e3a 92 \u4e2a\u4f20\u611f\u5668\u7684\u4fe1\u53f7\uff0c\u52a8\u4f5c\u7a7a\u95f4\u4e3a 19 \u4e2a\u63a7\u5236\u7ebf\u5708\u7684\u7535\u6d41\uff0c\u5956\u52b1\u901a\u8fc7\u7b49\u79bb\u5b50\u4f53\u7684\u591a\u4e2a\u76ee\u6807\u53c2\u6570<\/span>\uff08\u5305\u542b\u5176\u4f4d\u7f6e\u3001\u5f62\u72b6\u7b49\uff09<\/span>\u5b9a\u4e49\u3002\u5728\u4eff\u771f\u73af\u5883\u4e2d\u8bad\u7ec3\u540e\uff0c\u4f5c\u8005\u76f4\u63a5\u5c06\u8bad\u7ec3\u597d\u7684\u6a21\u578b\u90e8\u7f72\u4e8e\u5b9e\u9645\u88c5\u7f6e\u4e2d\uff0c\u5e76\u8fdb\u884c\u4e86\u4e00\u7cfb\u5217\u5b9e\u9a8c\uff0c\u8868\u660e\u4e86\u8be5\u65b9\u6cd5\u7684\u4f18\u8d8a\u6027\u80fd\uff0c\u5305\u62ec\u80fd\u591f\u7cbe\u786e\u63a7\u5236\u7b49\u79bb\u5b50\u4f53\u7684\u5404\u7c7b\u53c2\u6570\uff0c\u4ee5\u53ca\u80fd\u591f\u5f62\u6210\u65b0\u7684\u7b49\u79bb\u5b50\u4f53\u4f4d\u5f62\u3002\u8fd9\u4e00\u7a81\u7834\u6027\u8fdb\u5c55\uff0c\u9996\u6b21\u8bc1\u660e\u4e86\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u7528\u4e8e\u63a7\u5236\u5927\u578b\u79d1\u5b66\u8bbe\u65bd\u7684\u53ef\u884c\u6027\uff0c\u4e3a\u4eba\u5de5\u667a\u80fd\u5728\u79d1\u5b66\u63a7\u5236\u4efb\u52a1\u7684\u66f4\u591a\u5e94\u7528\u63ed\u793a\u4e86\u5de8\u5927\u7684\u6f5c\u529b\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 17 \u6587\u7ae0[31]\u4e2d\u7684\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4e0e\u6258\u5361\u9a6c\u514b\u88c5\u7f6e\u4ea4\u4e92\u793a\u610f\u56fe\u3002<\/span><\/span><\/p>\n


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

\u9664\u4e86\u4ee5\u4e0a\u4ee3\u8868\u6027\u5de5\u4f5c\uff0c\u7531\u4e8e\u5176\u8303\u5f0f\u7684\u666e\u9002\u6027\u4ee5\u53ca\u4f18\u5f02\u7684\u6548\u679c\uff0c\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u5df2\u5728\u5176\u4ed6\u63a7\u5236\u548c\u8bbe\u8ba1\u4efb\u52a1\u4e2d\u5e7f\u6cdb\u5e94\u7528\uff0c\u4f8b\u5982\u6d41\u4f53\u63a7\u5236<\/span><\/span>[32]<\/span><\/span><\/sup>\u3001\u5206\u5b50\u8bbe\u8ba1<\/span><\/span>[33]<\/span><\/span><\/sup>\u7b49\u7b49\u3002<\/span><\/span><\/p>\n


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

3.3 \u751f\u6210\u6a21\u578b\u7528\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/span><\/p>\n


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

\u751f\u6210\u6a21\u578b\u662f\u4e00\u79cd\u65b0\u7684\u673a\u5668\u5b66\u4e60\u8303\u5f0f\u3002\u8fd1\u51e0\u5e74\u6765\uff0c\u4ee5\u6269\u6563\u751f\u6210\u6a21\u578b\u4e3a\u4ee3\u8868\uff0c\u751f\u6210\u6a21\u578b\u5728\u56fe\u50cf\u751f\u6210<\/span>\uff08\u4f8b\u5982 DALL-E 2\uff09<\/span>\u3001\u89c6\u9891\u751f\u6210<\/span>\uff08\u4f8b\u5982 Sora <\/span><\/span>[34]<\/span><\/span><\/sup>\uff09<\/span>\u30013D \u6a21\u578b\u751f\u6210\u3001\u5177\u8eab\u667a\u80fd\u7b49\u9886\u57df\u6d8c\u73b0\u51fa\u4f17\u591a\u4ee4\u4eba\u60ca\u8273\u7684\u6210\u679c\u3002\u6269\u6563\u6a21\u578b\u5bf9\u4e8e\u9ad8\u7ef4\u3001\u590d\u6742\u53d8\u91cf\u7684\u5168\u5c40\u6982\u7387\u5efa\u6a21\u80fd\u529b\uff0c\u4f7f\u5176\u4e0d\u4ec5\u5728\u4ee5\u4e0a AI \u6838\u5fc3\u5e94\u7528\u9886\u57df\u5927\u653e\u5149\u5f69\uff0c\u4e5f\u4f7f\u5176\u5728\u79d1\u5b66\u8bbe\u8ba1\u548c\u63a7\u5236\u4efb\u52a1\u4e2d\u5177\u6709\u5de8\u5927\u6f5c\u529b\u3002<\/span><\/span><\/p>\n


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

\u4f8b\u5982\uff0c\u5728\u5de5\u4f5c<\/span><\/span>[35]<\/span><\/span><\/sup>\u4e2d\uff0c\u4f5c\u8005\u9488\u5bf9\u9006\u5411\u8bbe\u8ba1\u95ee\u9898\uff0c\u63d0\u51fa\u57fa\u4e8e\u6269\u6563\u6a21\u578b\u7684\u7ec4\u5408\u9006\u5411\u8bbe\u8ba1\u65b9\u6cd5\u3002\u5176\u6838\u5fc3\u5728\u4e8e\u5c06\u4eff\u771f\u548c\u9006\u5411\u8bbe\u8ba1\u878d\u4e3a\u540c\u4e00\u4efb\u52a1\uff0c\u5728\u8bad\u7ec3\u65f6<\/span>\uff08\u56fe 18 \u5de6\uff09<\/span>\uff0c<\/span><\/span><\/p>\n


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

\u7ed9\u5b9a\u7cfb\u7edf\u4eff\u771f\u8f68\u8ff9\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\u548c\u53c2\u6570\ud835\udefe<\/span>\uff08\u5305\u542b\u5176\u7a7a\u95f4\u53c2\u6570\u3001\u8fb9\u754c\u7b49\uff09<\/span>\u7684\u6570\u636e\u6837\u672c\uff0c\u5176\u53ef\u4ee5\u5b66\u4e60\u7cfb\u7edf\u4eff\u771f\u8f68\u8ff9\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/span><\/sup>\u548c\u53c2\u6570\ud835\udefe\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\ud835\udc5d<\/span><\/span>\ud835\udf03<\/span><\/sub>(\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup>, \ud835\udefe)\uff0c\u901a\u8fc7\u53c2\u6570\u5316\u7684\u80fd<\/span><\/span><\/span><\/span>\u91cf<\/span><\/span><\/span><\/span>\u51fd\u51fd\u6570\ud835\udc38<\/span><\/span>\ud835\udf03<\/span><\/sub>(\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup>, \ud835\udefe)\u8868\u793a\uff0c\u5176\u4e0e\u6982\u7387\u5206\u5e03\u7684\u5bf9\u5e94\u5173\u7cfb\u4e3a<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\"image.png\"<\/span><\/sub>\uff0c\u8fd9\u4e2a\u5173\u7cfb\u8868\u660e\u80fd\u91cf\u8d8a\u4f4e\uff0c\u89c2\u6d4b\u6982\u7387\u8d8a\u9ad8\u3002<\/span><\/span><\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 18 \u6587\u7ae0[35]\u4e2d\u8bad\u7ec3\u548c\u63a8\u7406\u7684\u65b9\u6cd5\u67b6\u6784\u3002<\/span><\/span><\/p>\n


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

\u63a8\u7406\u65f6<\/span>\uff08\u56fe 18 \u53f3\uff09<\/span>\uff0c\u8be5\u65b9\u6cd5\u5c06\u7cfb\u7edf\u4eff\u771f\u8f68\u8ff9\u548c\u53c2\u6570\u540c\u65f6\u751f\u6210\uff0c\u5e76\u5728\u751f\u6210\u65f6\u52a0\u4e0a\u8bbe\u8ba1\u76ee\u6807\ud835\udc3d(\ud835\udc62<\/span><\/span>[0,\ud835\udc47]<\/span><\/sup>, \ud835\udefe)\uff0c\u4f7f\u5f97\u751f\u6210\u7684\u6837\u672c\u65e2\u7b26\u5408\u7269\u7406<\/span>\uff08\u5373\u4eff\u771f\u8f68\u8ff9\u4e0e\u53c2\u6570\u7b26\u5408\u8bad\u7ec3\u96c6\u4e2d\u7684\u8054\u5408\u5206\u5e03\uff09<\/span>\uff0c\u53c8\u80fd\u540c\u65f6\u4f18\u5316\u8bbe\u8ba1\u76ee\u6807\u3002\u8fd9\u4e2a\u540c\u65f6\u751f\u6210\u7684\u8303\u5f0f\u907f\u514d\u4e86\u524d\u6587 3.1 \u8282\u65b9\u6cd5\u4e2d\u6bcf\u4e00\u6b21\u6539\u53d8\u53c2\u6570\uff0c\u90fd\u9700\u8981\u91cd\u65b0\u8fdb\u884c\u4eff\u771f\u7684\u4f4e\u6548\u505a\u6cd5\uff0c\u540c\u65f6\u7531\u4e8e\u5176\u901a\u8fc7\u5bf9\u6837\u672c\u52a0\u4e0a\u566a\u97f3\u518d\u8bad\u7ec3\u53bb\u566a\u7f51\u7edc\u7684\u65b9\u5f0f\u8fdb\u884c\u8bad\u7ec3\uff0c\u53ef\u4ee5\u6709\u6548\u907f\u514d 3.1 \u4e2d\u7684\u5bf9\u6297\u6837\u672c\u95ee\u9898\u3002\u6b64\u5916\uff0c\u901a\u8fc7\u80fd\u91cf\u51fd\u6570\u7684\u53e0\u52a0\uff0c\u8be5\u65b9\u6cd5\u80fd\u591f\u7ec4\u5408\u5f0f\u751f\u6210\u6bd4\u8bad\u7ec3\u96c6\u4e2d\u66f4\u52a0\u590d\u6742\u7684\u53c2\u6570\u8bbe\u8ba1\u3002\u4f8b\u5982\uff0c\u5728\u98de\u673a\u7ffc\u578b\u8bbe\u8ba1\u7684\u5b9e\u9a8c\u4e2d\uff0c\u5c3d\u7ba1\u8be5\u65b9\u6cd5\u53ea\u5728\u8bad\u7ec3\u4e2d\u89c1\u8fc7\u5355\u4e2a\u673a\u7ffc\u4e0e\u6c14\u6d41\u7684\u4f5c\u7528\uff0c\u5176\u5728\u63a8\u7406\u4e2d\u5374\u80fd\u540c\u65f6\u8bbe\u8ba1\u51fa\u4e24\u4e2a\u7ffc\u578b\u7684\u5f62\u72b6\u4ee5\u53ca\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u5e76\u53d1\u73b0\u201c\u7f16\u961f\u98de\u884c\u201d\u7684\u6a21\u5f0f\u80fd\u591f\u51cf\u5c0f\u603b\u98de\u884c\u963b\u529b\uff0c\u5b9e\u73b0\u6700\u5927\u5316\u5347\u963b\u6bd4\u7684\u8bbe\u8ba1\u76ee\u6807<\/span>\uff08\u56fe 19\uff09<\/span>\u3002<\/span><\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 19 \u6587\u7ae0[35]\u4e2d\u7684\u65b9\u6cd5\u80fd\u540c\u65f6\u751f\u6210\u7cfb\u7edf\u4eff\u771f\u8f68\u8ff9\uff08\u5de6\uff1a\u6c14\u6d41\u6c34\u5e73\u901f\u5ea6\u573a\uff1b\u4e2d\uff1a\u6c14\u6d41\u5782\u76f4\u901f\u5ea6\u573a\uff0c\u53f3\uff1a\u538b\u5f3a\u573a\uff09\u548c\u673a\u7ffc\u5f62\u72b6\uff08\u4e2d\u95f4\u7ea2\u8272\u548c\u84dd\u8272\u5f62\u72b6\u6240\u793a\uff09\uff0c\u5e76\u53d1\u73b0\u5728\u8bad\u7ec3\u4e2d\u672a\u89c1\u7684\u201c\u7f16\u961f\u98de\u884c\u201d\u6a21\u5f0f\u3002<\/span><\/span><\/p>\n


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

\u9664\u6b64\u4e4b\u5916\uff0c\u6269\u6563\u751f\u6210\u6a21\u578b\u5728\u5176\u4ed6\u79d1\u5b66\u8bbe\u8ba1\u548c\u63a7\u5236\u4efb\u52a1\u4e2d\u4e5f\u5f00\u59cb\u5e7f\u6cdb\u5e94\u7528\uff0c\u4f8b\u5982\u673a\u68b0\u8d85\u6750\u6599\u8bbe\u8ba1<\/span><\/span>[36]<\/span><\/span><\/sup>\uff0c\u6d41\u4f53\u63a7\u5236<\/span><\/span>[37]<\/span><\/span><\/sup>\uff0c\u86cb\u767d\u8d28\u8bbe\u8ba1<\/span>\uff08\u4f8b\u5982 RFdiffusion<\/span><\/span>[38]<\/span><\/span><\/sup>\uff0cAlphaFold 3<\/span><\/span>[39]<\/span><\/span><\/sup>\uff09<\/span><\/span>\u7b49\u3002\u57fa\u4e8e\u5176\u5728\u86cb\u767d\u8d28\u8bbe\u8ba1\u65b9\u9762\u7684\u6770\u51fa\u8d21\u732e\uff0cDavid Baker \u83b7\u5f97\u4e86 2024 \u5e74\u8bfa\u8d1d\u5c14\u5316\u5b66\u5956\u3002\u5176\u6700\u65b0\u7684\u86cb\u767d\u8d28\u8bbe\u8ba1\u5de5\u4f5c\u4e3b\u8981\u57fa\u4e8e\u6269\u6563\u751f\u6210\u6a21\u578b\u3002\u7531\u6b64\u53ef\u4ee5\u770b\u5230\u6269\u6563\u6a21\u578b\u7b49\u751f\u6210\u6a21\u578b\u7684\u6f5c\u529b\uff0c\u4ee5\u53ca\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u9886\u57df\u7684\u4ee4\u4eba\u5174\u594b\u7684\u524d\u666f\u3002<\/span><\/span><\/span><\/span><\/p>\n


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

3.4 PINN \u7528\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/span><\/p>\n


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

\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc<\/span>\uff08PINN, Physics-Informed Neural Networks\uff09<\/span><\/span>[13]<\/span><\/span><\/sup>\u662f\u4e00\u79cd\u5c06\u7269\u7406\u7ea6\u675f\u4e0e\u795e\u7ecf\u7f51\u7edc\u76f8\u7ed3\u5408\u7684\u6570\u503c\u65b9\u6cd5\u3002PINN \u901a\u8fc7\u5c06 PDE \u7684\u5177\u4f53\u5f62\u5f0f\u5d4c\u5165\u795e\u7ecf\u7f51\u7edc\u7684\u635f\u5931\u51fd\u6570\u4e2d\uff0c\u4f7f\u5f97\u7f51\u7edc\u5728\u5b66\u4e60\u6570\u636e\u7684\u540c\u65f6\uff0c\u6ee1\u8db3\u7269\u7406\u5b9a\u5f8b\u3002\u5b83\u53ef\u4ee5\u7528\u4e8e\u89e3\u51b3\u6b63\u95ee\u9898<\/span>\uff08\u9884\u6d4b\u7cfb\u7edf\u7684\u672a\u6765\u72b6\u6001\uff09<\/span>\u548c\u9006\u95ee\u9898<\/span>\uff08\u6839\u636e\u89c2\u6d4b\u63a8\u65ad\u7cfb\u7edf\u7684\u672a\u77e5\u53c2\u6570\u6216\u521d\u59cb\u6761\u4ef6\uff09<\/span>\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6d41\u4f53\u52a8\u529b\u5b66\u3001\u6750\u6599\u79d1\u5b66\u548c\u6c14\u8c61\u5b66\u7b49\u9886\u57df\u3002PINN \u7684\u4f18\u52bf\u5728\u4e8e\u4e0d\u9700\u8981\u5927\u91cf\u6570\u636e\uff0c\u4e5f\u80fd\u57fa\u4e8e\u5df2\u77e5\u7684\u7269\u7406\u6a21\u578b\u8fdb\u884c\u9ad8\u6548\u7684\u6a21\u62df\u4e0e\u63a8\u65ad\u3002<\/span><\/span><\/p>\n


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

\u7ed9\u5b9a PDE \u7684\u663e\u5f0f\u516c\u5f0f\uff0c\u4e00\u79cd\u81ea\u7136\u7684\u60f3\u6cd5\u5c31\u662f\u53ef\u4ee5\u5229\u7528 PINN\uff0c\u901a\u8fc7\u540c\u65f6\u5728\u635f\u5931\u51fd\u6570\u4e2d\u5305\u542b PDE \u548c\u8bbe\u8ba1\u3001\u63a7\u5236\u76ee\u6807\uff0c\u53ef\u4ee5\u83b7\u5f97\u80fd\u591f\u6700\u5c0f\u5316\u76ee\u6807\u7684\u8bbe\u8ba1\u53c2\u6570\u548c\u63a7\u5236\u5e8f\u5217\u3002\u5bf9\u4e8e\u9006\u5411\u8bbe\u8ba1\uff0c\u8003\u8651\u5230 PINN \u4e2d\u6240\u6709\u7ea6\u675f\u90fd\u662f\u8f6f\u7ea6\u675f\uff0chPINN \u901a\u8fc7\u4f7f\u7528\u60e9\u7f5a\u6cd5\u548c\u589e\u5e7f\u62c9\u683c\u6717\u65e5\u6cd5\u65bd\u52a0\u786c\u7ea6\u675f<\/span><\/span>[40]<\/span><\/span><\/sup>\u3002\u4e4b\u540e\uff0c\u4e3a\u4e86\u63d0\u9ad8 PINN \u7684\u7cbe\u5ea6\u548c\u8bad\u7ec3\u6548\u7387\uff0cgPINN \u5229\u7528 PDE \u6b8b\u5dee\u7684\u68af\u5ea6\u4fe1\u606f\u5e76\u5c06\u5176\u6574\u5408\u5230\u635f\u5931\u51fd\u6570\u4e2d<\/span><\/span>[41]<\/span><\/span><\/sup>\u3002Bi-PINN<\/span><\/span>[42]<\/span><\/sup>\u8fdb\u4e00\u6b65\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u53cc\u5c42\u4f18\u5316\u6846\u67b6\uff0c\u901a\u8fc7\u89e3\u8026\u76ee\u6807\u548c\u7ea6\u675f\u7684\u4f18\u5316\uff0c\u907f\u514d\u4e86\u65e0\u7ea6\u675f\u95ee\u9898\u4e2d\u7ec6\u5fae\u8d85\u53c2\u6570\u7684\u8bbe\u7f6e\u3002\u53e6\u4e00\u9879\u7814\u7a76<\/span><\/span><\/span>[43]<\/span><\/span><\/sup>\u63d0\u51fa\u4e86\u4e00\u79cd\u8d1d\u53f6\u65af\u65b9\u6cd5\uff0c\u4f7f\u7528\u6570\u636e\u9a71\u52a8\u7684\u57fa\u4e8e\u80fd\u91cf\u7684\u6a21\u578b<\/span>\uff08EBM\uff09<\/span>\u4f5c\u4e3a\u5148\u9a8c\uff0c\u4ee5\u63d0\u9ad8\u5c42\u6790\u91cd\u5efa\u7684\u6574\u4f53\u51c6\u786e\u6027\u548c\u8d28\u91cf\u3002\u5bf9\u4e8e\u5229\u7528 PINN \u8fdb\u884c\u63a7\u5236\u95ee\u9898\uff0c<\/span><\/span>[44]<\/span><\/sup>\u63d0\u51fa\u4e86\u4e00\u79cd\u7b80\u6d01\u7684\u4e24\u9636\u6bb5\u65b9\u6cd5\u3002\u9996\u5148\uff0c \u4ed6\u4eec\u901a\u8fc7\u89e3\u51b3\u6b63\u5411\u95ee\u9898\u6765\u8bad\u7ec3 PINN \u7684\u53c2\u6570\u3002\u968f\u540e\uff0c\u4ed6\u4eec\u4f7f\u7528\u4e00\u79cd\u7b80\u5355\u4f46\u6709\u6548 \u7684\u7ebf\u6027\u641c\u7d22\u7b56\u7565\uff0c\u901a\u8fc7\u8bc4\u4f30\u63a7\u5236\u76ee\u6807\uff0c\u5229\u7528\u4e00\u4e2a\u5355\u72ec\u7684 PINN \u6b63\u5411\u8ba1\u7b97\u5c06 PINN\u7684\u6700\u4f18\u63a7\u5236\u4f5c\u4e3a\u8f93\u5165\u8fdb\u884c\u63a7\u5236\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u63a7\u5236\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc<\/span>\uff08Control PINNs\uff09<\/span><\/span><\/span>[45]<\/span><\/sup>\u662f\u4e00\u79cd\u5355\u9636\u6bb5\u65b9\u6cd5\uff0c\u80fd\u591f\u540c\u65f6\u5b66\u4e60\u7cfb\u7edf\u72b6\u6001\u3001\u4f34\u968f\u7cfb\u7edf\u72b6\u6001\u4ee5\u53ca\u6700\u4f18\u63a7\u5236\u4fe1\u53f7\u3002<\/span><\/span><\/span><\/p>\n


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

\u7b2c\u4e00\u79cd\u65b9\u6cd5\u53ef\u80fd\u8ba1\u7b97\u91cf\u5927\uff0c\u4e14\u7531\u4e8e\u6a21\u578b\u4e2d\u7684\u95f4\u63a5\u5173\u7cfb\uff0c\u53ef\u80fd\u4ea7\u751f\u975e\u7269\u7406\u7ed3\u679c\u3002\u81f3\u4e8e\u7b2c\u4e8c\u79cd\u65b9\u6cd5\uff0c\u5b83\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u53d8\u91cf\uff0c\u5e76\u66f4\u9ad8\u6548\u5730\u5904\u7406\u590d\u6742\u7cfb\u7edf\uff0c\u4f46\u53ef\u80fd\u4f1a\u5bfc\u81f4\u8f83\u5927\u7684\u65b9\u7a0b\u7ec4\u3002<\/span><\/span><\/p>\n


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

3.5 \u795e\u7ecf\u7b97\u5b50\u7528\u4e8e\u8bbe\u8ba1\u548c\u63a7\u5236<\/span><\/span><\/p>\n


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

\u5bf9\u4e8e\u504f\u5fae\u5206\u65b9\u7a0b<\/span>\uff08PDE\uff09<\/span>\u7684\u4e00\u5927\u7c7b\u9006\u95ee\u9898\uff0c\u5176\u5b9a\u4e49\u901a\u5e38\u662f\u4ece\u7b97\u5b50\u6620\u5c04\u5230\u51fd\u6570\u3002\u7136\u800c\uff0c\u73b0\u6709\u7684\u7b97\u5b50\u5b66\u4e60\u6846\u67b6\u4e3b\u8981\u662f\u5c06\u51fd\u6570\u6620\u5c04\u5230\u51fd\u6570\uff0c\u9700\u8981\u5bf9\u5176\u8fdb\u884c\u4fee\u6539\u624d\u80fd\u4ece\u6570\u636e\u4e2d\u5b66\u4e60\u9006\u6620\u5c04\u3002[46]\u4e2d\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u67b6\u6784\uff0c\u79f0\u4e3a\u795e\u7ecf\u9006\u7b97\u5b50<\/span>\uff08Neural Inverse Operators, NIOs\uff09<\/span>\uff0c\u7528\u4e8e\u89e3\u51b3\u8fd9\u4e9b PDE \u9006\u95ee\u9898\u3002\u53d7\u5e95\u5c42\u6570\u5b66\u7ed3\u6784\u7684\u542f\u53d1\uff0cNIO \u57fa\u4e8e\u6df1\u5ea6\u7b97\u5b50\u7f51\u7edc<\/span>\uff08DeepONet<\/span><\/span>[47]<\/span><\/span><\/sup>\uff09<\/span>\u548c\u5085\u7acb\u53f6\u795e\u7ecf\u7b97\u5b50<\/span>\uff08FNOs\uff09<\/span>\u7684\u9002\u5f53\u7ec4\u5408\uff0c\u6765\u8fd1\u4f3c\u4ece\u7b97\u5b50\u5230\u51fd\u6570\u7684\u6620\u5c04\u3002\u901a\u8fc7\u591a\u79cd\u5b9e\u9a8c\u8868\u660e\uff0cNIO \u5728\u89e3\u51b3 PDE \u9006\u95ee\u9898\u65f6\uff0c\u8868\u73b0\u663e\u8457\u4f18\u4e8e\u57fa\u7ebf\u6a21\u578b\uff0c\u5177\u6709\u9c81\u68d2\u6027\u548c\u9ad8\u51c6\u786e\u6027\uff0c\u5e76\u4e14\u76f8\u6bd4\u73b0\u6709\u7684\u76f4\u63a5\u65b9\u6cd5\u548c PDE \u7ea6\u675f\u4f18\u5316\u65b9\u6cd5\u5feb\u4e86\u6570\u4e2a\u6570\u91cf\u7ea7\u3002<\/span><\/span><\/p>\n


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


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

\n
\n
\n
\n
\n

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

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

4. <\/span>\u4eba\u5de5\u667a\u80fd\u7528\u4e8e\u79d1\u5b66\u53d1\u73b0<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

\u79d1\u5b66\u53d1\u73b0\u662f\u4e00\u4e2a\u6700\u6fc0\u52a8\u4eba\u5fc3\u7684\u8fc7\u7a0b\uff0c\u800c\u4eba\u5de5\u667a\u80fd\u6b63\u5728\u5e76\u4e14\u5c06\u4e3a\u79d1\u5b66\u53d1\u73b0\u63d0\u4f9b\u4e00\u7cfb\u5217\u5f3a\u5927\u5de5\u5177\u3002\u672c\u6587\u8ba4\u4e3a\uff0c\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u5728\u4ee5\u4e0b\u65b9\u9762\uff0c\u4e3a\u79d1\u5b66\u53d1\u73b0\u52a9\u529b\uff1a\uff081\uff09\u53d1\u73b0\u9ad8\u7ef4\u3001\u590d\u6742\u3001\u5f3a\u8026\u5408\u7cfb\u7edf\u4e2d\u7684\u6838\u5fc3\u7684\u5b8f\u89c2\u53d8\u91cf\uff1b\uff082\uff09\u6839\u636e\u6570\u636e\uff0c\u5f97\u5230\u53d8\u91cf\u4e4b\u95f4\u6ee1\u8db3\u7684\u7b26\u53f7\u65b9\u7a0b\uff1b\uff083\uff09\u53d1\u73b0\u7cfb\u7edf\u7684\u5bf9\u79f0\u6027\u548c\u5b88\u6052\u91cf\uff1b\uff084\uff09\u4e0e\u4eba\u7c7b\u4e13\u5bb6\u4ea4\u4e92\uff0c\u5171\u540c\u8bc1\u660e\u6570\u5b66\u5b9a\u7406\uff1b\uff085\uff09\u63d0\u51fa\u5b9e\u9a8c\u65b9\u6848\uff0c\u66f4\u597d\u5730\u9a8c\u8bc1\u6216\u8005\u8bc1\u4f2a\u5f53\u524d\u7406\u8bba\u7b49\u3002<\/span><\/span><\/p>\n


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

\u4f8b\u5982\uff0c\u7814\u7a76\u8005\u5728[48]\u4e2d\u63d0\u51fa\u4e86 SINDy \u7b97\u6cd5\uff0c\u5176\u5173\u4e8e\u6a21\u578b\u7ed3\u6784\u7684\u552f\u4e00\u5047\u8bbe\u662f\uff1a\u53ea\u6709\u5c11\u6570\u91cd\u8981\u7684\u9879\u652f\u914d\u7740\u52a8\u529b\u5b66\uff0c\u56e0\u6b64\u65b9\u7a0b\u5728\u53ef\u80fd\u7684\u51fd\u6570\u7a7a\u95f4\u4e2d\u662f\u7a00\u758f\u7684\uff1b\u8fd9\u4e00\u5047\u8bbe\u5728\u8bb8\u591a\u7269\u7406\u7cfb\u7edf\u4e2d\u5728\u9002\u5f53\u7684\u57fa\u5e95\u4e0b\u6210\u7acb\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5b83\u4f7f\u7528\u7a00\u758f\u56de\u5f52\u6765\u786e\u5b9a\u52a8\u6001\u63a7\u5236\u65b9\u7a0b\u4e2d\u6240\u9700\u7684\u6700\u5c11\u9879\uff0c\u4ee5\u51c6\u786e\u8868\u793a\u6570\u636e\u3002\u8fd9\u6837\u53ef\u4ee5\u751f\u6210\u65e2\u4fdd\u8bc1\u51c6\u786e\u6027\u53c8\u907f\u514d\u6a21\u578b\u8fc7\u5ea6\u590d\u6742\u7684\u7b80\u7ea6\u6a21\u578b\uff0c\u907f\u514d\u8fc7\u62df\u5408\u3002SINDy \u5728\u6d41\u4f53\u7cfb\u7edf\u4e0a\u7684\u7ed3\u679c\u5c55\u793a\u4e86\u8be5\u65b9\u6cd5\u80fd\u591f\u53d1\u73b0\u7cfb\u7edf\u7684\u6f5c\u5728\u52a8\u529b\u5b66\uff0c\u8be5\u95ee\u9898\u82b1\u8d39\u4e86\u9886\u57df\u4e13\u5bb6\u8fd1 30 \u5e74\u624d\u89e3\u51b3\u3002\u5e76\u4e14\uff0c\u8be5\u65b9\u6cd5\u80fd\u591f\u63a8\u5e7f\u5230\u53c2\u6570\u5316\u7684\u7cfb\u7edf\u3001\u65f6\u53d8\u7684\u6216\u6709\u5916\u529b\u9879\u7684\u7cfb\u7edf\u3002<\/span><\/span><\/p>\n


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

\u57fa\u4e8e SINDy \u7b97\u6cd5\uff0c\u7814\u7a76\u8005\u4eec\u8fd8\u63d0\u51fa\u4e86\u8bb8\u591a\u7684\u53d8\u4f53\u3002\u6bd4\u5982\u8003\u8651\u5230\u73b0\u5b9e\u4e2d\u89c2\u6d4b\u5230\u7684\u6570\u636e\u4f1a\u5e26\u6709\u566a\u58f0\uff0cSINDy-PI <\/span><\/span>[49]<\/span><\/span><\/sup>\u5f00\u53d1\u4e86\u4e00\u79cd\u4f18\u5316\u548c\u6a21\u578b\u9009\u62e9\u6846\u67b6\uff0c\u5c06\u9690\u5f0f\u7684 SINDy \u95ee\u9898\u91cd\u65b0\u8f6c\u6362\u4e3a\u51f8\u95ee\u9898\uff0c\u4f7f\u5176\u5177\u6709\u566a\u58f0\u9c81\u68d2\u6027\u3002<\/span><\/span>[50]<\/span>\u57fa\u4e8e\u4ece\u566a\u58f0\u6d4b\u91cf\u6570\u636e\u4e2d\u7cfb\u7edf\u53d1\u73b0\u95ee\u9898\u7684\u5f31\u5f62\u5f0f\u548c\u79bb\u6563\u5316\uff0c\u63d0\u51fa\u4e86\u63d0\u51fa\u4e86 weak-SINDy\u3002\u8fd9\u4e00\u7b97\u6cd5\u7528\u7ebf\u6027\u53d8\u6362\u548c\u65b9\u5dee\u7f29\u51cf\u6280\u672f\u53d6\u4ee3\u9010\u70b9\u5bfc\u6570\u8fd1\u4f3c\uff0c\u80fd\u591f\u6bd4\u6807\u51c6\u7684 SINDy \u7b97\u6cd5\u7684\u7cbe\u5ea6\u63d0\u9ad8\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002<\/span><\/span><\/span><\/p>\n


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

AI \u8d39\u66fc<\/span><\/span>[51-52]<\/span><\/span><\/sup>\u65b9\u6cd5<\/span>\uff08\u56fe 20a\uff09<\/span>\u4e5f\u662f\u4e00\u4e2a\u7528\u4e8e\u53d1\u73b0\u7269\u7406\u89c4\u5f8b\u7684\u7b97\u6cd5\uff0c\u5b83\u5c06\u5206\u800c\u6cbb\u4e4b\u3001\u9012\u5f52\u3001\u5bf9\u79f0\u6027\u53d1\u73b0\u7684\u539f\u7406\u878d\u6210\u7edf\u4e00\u6574\u4f53\uff0c\u80fd\u591f\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u5176\u9690\u542b\u7684\u590d\u6742\u65b9\u7a0b<\/span>\uff08\u56fe 20b\uff09<\/span>\uff0c\u5e76\u4e14\u5bf9\u566a\u58f0\u6709\u8f83\u5f3a\u7684\u9c81\u68d2\u6027\u3002AI \u5e9e\u52a0\u83b1\u65b9\u6cd5<\/span><\/span>[53]<\/span><\/span><\/sup>\u80fd\u591f\u53d1\u73b0\u7269\u7406\u7cfb\u7edf\u9690\u542b\u7684\u5bf9\u79f0\u6027\u3002\u4f8b\u5982\uff0c\u5176\u91cd\u65b0\u53d1\u73b0\u4e86\u8457\u540d\u7684\u53e4\u5c14\u65af\u7279\u5170\u5fb7-\u4f69\u6069\u5229\u592b\u5ea6\u91cf\uff0c\u8be5\u5ea6\u91cf\u5728\u975e\u65cb\u8f6c\u9ed1\u6d1e\u7684\u53f2\u74e6\u897f\u5ea6\u91cf\u4e2d\u4f53\u73b0\u4e86\u9690\u85cf\u7684\u5e73\u79fb\u5bf9\u79f0\u6027\u3002\u7269\u7406\u5b66\u5bb6\u7528\u4e86 17 \u5e74\u624d\u53d1\u73b0\u8fd9\u4e00\u5bf9\u79f0\u6027\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 20 AI \u8d39\u66fc\u67b6\u6784(a)\u53ca\u5176\u91cd\u65b0\u53d1\u73b0\u7684\u90e8\u5206\u65b9\u7a0b(b)\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 21 KAN \u67b6\u6784<\/span><\/span>[54]<\/span><\/span><\/sup><\/span><\/p>\n


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

\u53e6\u4e00\u4e2a\u6700\u8fd1\u7684\u4ee3\u8868\u6027\u5de5\u4f5c\u4fbf\u662f KAN<\/span>\uff08\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b-\u963f\u8bfa\u5fb7\u7f51\u7edc\uff0c\u56fe 21\uff09<\/span><\/span>[54]<\/span><\/span><\/sup>\u3002\u57fa\u4e8e\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b-\u963f\u8bfa\u5fb7\u8868\u793a\u5b9a\u7406\uff0cKAN \u5c06\u6fc0\u6d3b\u51fd\u6570\u653e\u5728\u795e\u7ecf\u7f51\u7edc\u7684\u8fb9\u4e0a\uff0c\u800c\u4e0d\u662f\u50cf\u6807\u51c6\u7684\u591a\u5c42\u611f\u77e5\u673a<\/span>\uff08MLP\uff09<\/span>\u628a\u6fc0\u6d3b\u51fd\u6570\u653e\u5728\u795e\u7ecf\u7f51\u7edc\u7684\u8282\u70b9\u4e0a\u3002\u5b9e\u9a8c\u8868\u660e\uff0c KAN \u5177\u6709\u5f88\u597d\u7684\u53ef\u89e3\u91ca\u6027\uff0c\u5e76\u80fd\u591f\u66f4\u5feb\u6536\u655b\u3002\u5176\u5728\u53d1\u73b0\u7cfb\u7edf\u91cd\u8981\u53d8\u91cf\u3001\u53d1\u73b0\u795e\u7ecf\u7f51\u7edc\u7684\u6a21\u5757\u5316\u7ed3\u6784\u3001\u53d1\u73b0\u7269\u7406\u7cfb\u7edf\u7684\u65b9\u7a0b<\/span><\/span>[55]<\/span><\/span><\/sup>\u65b9\u9762\u5c55\u73b0\u4e86\u5f3a\u5927\u7684\u6027\u80fd\u4ee5\u53ca\u5de8\u5927\u6f5c\u529b\u3002<\/span><\/span><\/p>\n


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

\u8fd8\u6709\u7684\u5de5\u4f5c\u63d0\u51fa\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u6765\u8fdb\u884c\u65b9\u7a0b\u7684\u53d1\u73b0\uff0c[56]\u63d0\u51fa\u4e86\u6709\u9650\u8868\u8fbe\u6cd5<\/span> (finite expression metho, FEX)<\/span>\uff0c\u5b83\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6765\u53d1\u73b0\u5305\u542b\u6709\u9650\u89e3\u6790\u8868\u8fbe\u5f0f\u96c6\u5408\u7684\u51fd\u6570\u7a7a\u95f4\u4e2d\u7684\u63a7\u5236\u65b9\u7a0b\uff0c\u5176\u5173\u952e\u6982\u5ff5\u662f\u901a\u8fc7\u5377\u79ef\u5b66\u4e60\u504f\u5fae\u5206\u65b9\u7a0b<\/span>\uff08PDE\uff09<\/span>\u89e3\u7684\u5bfc\u6570\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5b83\u5f15\u5165\u4e86\u4e00\u79cd\u7d27\u51d1\u7684\u64cd\u4f5c\u6570\u6811\u7ed3\u6784\uff0c\u5e76\u5229\u7528\u4e00\u5143\u8fd0\u7b97\u7b26\uff0c\u8be5\u8fd0\u7b97\u7b26\u4ee5\u5177\u6709\u53ef\u8bad\u7ec3\u5377\u79ef\u53c2\u6570\u7684\u7ebf\u6027\u7ec4\u5408\u7684\u4e0d\u540c\u64cd\u4f5c\u6570\u4f5c\u4e3a\u8f93\u5165\uff0c\u8fd9\u4e00\u8bbe\u8ba1\u6709\u6548\u964d\u4f4e\u4e86\u4f18\u5316\u95ee\u9898\u7684\u590d\u6742\u6027\u3002<\/span><\/span><\/p>\n


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

\u5229\u7528\u9057\u4f20\u7b97\u6cd5\u6765\u8fdb\u884c\u79d1\u5b66\u53d1\u73b0\u4e5f\u662f\u4e00\u4e2a\u65b9\u5411\uff0c\u6587\u7ae0[57]\u4e2d\u63d0\u51fa\u4e86\u4e00\u79cd\u7b26\u53f7\u9057\u4f20\u7b97\u6cd5\uff0c\u7528\u4e8e\u76f4\u63a5\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u5f00\u653e\u5f62\u5f0f\u7684 PDE<\/span>\uff08SGA-PDE\uff09<\/span>\uff0c\u5e76\u4e14\u65e0\u9700\u9884\u5148\u4e86\u89e3\u65b9\u7a0b\u7ed3\u6784\u3002SGA-PDE \u4f7f\u7528\u7b26\u53f7\u6570\u5b66\u6765\u5b9e\u73b0\u4efb\u610f PDE \u7684\u7075\u6d3b\u8868\u793a\uff0c\u5c06 PDE \u8f6c\u6362\u4e3a\u4e00\u4e2a\u68ee\u6797\uff0c\u5e76\u5c06\u6bcf\u4e2a\u51fd\u6570\u9879\u8f6c\u6362\u4e3a\u4e8c\u53c9\u6811\uff1b\u5e76\u4e14\u91c7\u7528\u4e00\u79cd\u4e13\u95e8\u8bbe\u8ba1\u7684\u9057\u4f20\u7b97\u6cd5\uff0c\u901a\u8fc7\u8fed\u4ee3\u66f4\u65b0\u6811\u7684\u62d3\u6251\u7ed3\u6784\u548c\u8282\u70b9\u5c5e\u6027\u6765\u6709\u6548\u4f18\u5316\u8fd9\u4e9b\u4e8c\u53c9\u6811\u3002\u5728\u5b9e\u9a8c\u4e2d\uff0c SGA-PDE \u4e0d\u4ec5\u6210\u529f\u53d1\u73b0\u4e86\u975e\u7ebf\u6027Burgers \u65b9\u7a0b\u3001Korteweg-de Vries \u65b9\u7a0b\u548cChafee- Infante \u65b9\u7a0b\uff0c\u8fd8\u5904\u7406\u4e86\u4f20\u7edf\u7684 PDE \u53d1\u73b0\u65b9\u6cd5\u65e0\u6cd5\u89e3\u51b3\u7684\u6709\u5206\u5f62\u7ed3\u6784\u548c\u590d\u5408\u51fd\u6570\u7684 PDE\u3002<\/span><\/span><\/p>\n


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

\u6b64\u5916\uff0c\u8fd1\u5e74\u6765\uff0c\u8bb8\u591a\u6587\u7ae0\u5229\u7528\u5927\u89c4\u6a21\u8bed\u8a00\u6a21\u578b<\/span>\uff08LLMs\uff09<\/span>\u6765\u8fdb\u884c\u79d1\u5b66\u53d1\u73b0\u3002\u901a\u8fc7\u5927\u8bed\u8a00\u6a21\u578b\u4e0e\u641c\u7d22\u7684\u4ea4\u4e92\uff0c[58]\u63d0\u51fa FunSearch \u65b9\u6cd5\uff0c\u5176\u80fd\u591f\u751f\u6210\u65b0\u7684\u7a0b\u5e8f\u6765\u89e3\u51b3\u6570\u5b66\u95ee\u9898\uff0c\u5e76\u5728\u7ec4\u5408\u6570\u5b66\u4e2d\u5f97\u5230\u4e86\u65b0\u7684\u53d1\u73b0\u3002[59]\u63d0\u51fa AlphaGeometry \u67b6\u6784\u7528\u4e8e\u51e0\u4f55\u5b9a\u7406\u7684\u8bc1\u660e\uff0c\u5e76\u5728 30 \u4e2a\u6570\u5b66\u5965\u6797\u5339\u514b\u8d5b\u9898\u4e2d\u6210\u529f\u89e3\u51fa 25 \u9053\u9898\uff0c\u63a5\u8fd1\u4eba\u7c7b\u91d1\u724c\u9009\u624b\u7684\u6c34\u5e73\u3002\u800c[60]\u5c06 AI \u7528\u4e8e\u5316\u5b66\u5b9e\u9a8c\u7684\u81ea\u52a8\u5316\u7814\u7a76\uff0c\u5176\u5c06\u5927\u8bed\u8a00\u6a21\u578b\u4f5c\u4e3a\u201c\u4e2d\u592e\u5904\u7406\u5668\u201d\uff0c\u7528\u4e8e\u8c03\u7528\u6587\u6863\u641c\u7d22\u3001\u4ee3\u7801\u6267\u884c\u548c\u5b9e\u9a8c\u81ea\u52a8\u5316\u7b49\u6a21\u5757\uff0c\u5b9e\u73b0\u5316\u5b66\u5b9e\u9a8c\u7684\u81ea\u52a8\u5316\u8bbe\u8ba1\u548c\u5b9e\u65bd\u3002[61]\u63d0\u51fa\u65b0\u65b9\u6cd5\u8bad\u7ec3 Transformer \u4ee5\u53ca\u4ea7\u751f\u6570\u636e\u96c6\uff0c\u7528\u4e8e\u53d1\u73b0\u52a8\u529b\u7cfb\u7edf\u7684\u5168\u5c40\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570<\/span>\uff08Lyapunov functions\uff09<\/span>\uff0c\u4ee5\u5224\u522b\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\uff0c\u800c\u8fd9\u4e2a\u95ee\u9898\u4e4b\u524d\u6ca1\u6709\u666e\u9002\u89e3\u6cd5\u3002\u8be5\u65b9\u6cd5\u6210\u529f\u53d1\u73b0\u4e86\u4e00\u4e9b\u7cfb\u7edf\u7684\u5168\u5c40\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff0c\u8d85\u8fc7\u4e86\u4f20\u7edf\u65b9\u6cd5\u3002 [62]\u8ba8\u8bba\u4e86 DiscoveryWorld\uff0c\u4e00\u4e2a\u865a\u62df\u73af\u5883\uff0c\u7528\u4e8e\u6d4b\u8bd5 AI \u4ee3\u7406\u5728\u7aef\u5230\u7aef\u79d1\u5b66\u53d1\u73b0\u4e2d\u7684\u8868\u73b0\uff0c\u6db5\u76d6\u4e86\u591a\u79cd\u6311\u6218\uff0c\u5982\u653e\u5c04\u6027\u540c\u4f4d\u7d20\u5b9a\u5e74\u548c\u706b\u7bad\u79d1\u5b66\uff0c\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5168\u9762\u7684\u57fa\u51c6\u6765\u5f00\u53d1\u79d1\u5b66\u63a8\u7406\u80fd\u529b\u3002\u4e0d\u8fc7\uff0c[63]\u4e2d\u4ecb\u7ecd\u4e86 ScienceAgentBench\uff0c\u4e00\u4e2a\u7528\u4e8e\u8bc4\u4f30 LLM \u9a71\u52a8\u7684\u8bed\u8a00\u4ee3\u7406\u5728\u6570\u636e\u9a71\u52a8\u79d1\u5b66\u4efb\u52a1\u4e2d\u7684\u57fa\u51c6\uff0c\u5176\u7ed3\u679c\u7a81\u663e\u4e86\u5f53\u524d LLM \u5728\u5b9e\u73b0\u79d1\u5b66\u7814\u7a76\u7aef\u5230\u7aef\u81ea\u52a8\u5316\u4e2d\u7684\u5c40\u9650\u6027\uff0c\u5373\u4f7f\u662f\u8868\u73b0\u6700\u597d\u7684\u4ee3\u7406\u5728\u4e13\u5bb6\u652f\u6301\u4e0b\u4e5f\u53ea\u80fd\u72ec\u7acb\u89e3\u51b3 34%\u7684\u4efb\u52a1\uff0c\u56e0\u6b64\u5728\u8fd9\u4e2a\u65b9\u5411\u8fd8\u4f1a\u6709\u5f88\u591a\u7684\u8fdb\u6b65\u7a7a\u95f4\u3002\u4ee5\u4e0a\u4f8b\u5b50\u53ea\u662f AI \u5728\u79d1\u5b66\u53d1\u73b0\u4e2d\u7684\u521d\u6b65\u5e94\u7528\uff0c\u5176\u6f5c\u529b\u503c\u5f97\u5e7f\u5927\u7814\u7a76\u4eba\u5458\u7684\u6df1\u5165\u63a2\u7d22\u3002<\/span><\/span><\/p>\n


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


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

\n
\n
\n
\n
\n

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

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

5. \u603b\u7ed3<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

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

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


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

5.1 \u672a\u6765\u7814\u7a76\u65b9\u5411\u548c\u5f00\u653e\u95ee\u9898<\/span><\/span><\/h1>\n


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

\u5728\u4eba\u5de5\u667a\u80fd\u52a9\u529b\u79d1\u5b66\u7684\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u9886\u57df\uff0c\u8ba9\u6a21\u578b\u66f4\u52a0\u51c6\u786e\u3001\u5feb\u901f\u548c\u53ef\u4fe1\uff0c\u5e76\u80fd\u5728\u5b9e\u9645\u4e2d\u5927\u89c4\u6a21\u90e8\u7f72\uff0c\u662f\u4e00\u4e2a\u957f\u671f\u7684\u603b\u4f53\u76ee\u6807\u3002\u5bf9\u4e8e\u4eff\u771f\u9886\u57df\uff0c\u76ee\u524d\u57fa\u4e8e\u673a\u5668\u5b66\u4e60\u7684\u65b9\u6cd5\u8fd8\u96be\u4ee5\u8fbe\u5230\u548c\u4f20\u7edf\u6570\u503c\u65b9\u6cd5\u76f8\u8fd1\u7684\u7cbe\u5ea6\u3001\u96be\u4ee5\u5904\u7406\u590d\u6742\u7684\u51e0\u4f55\u7ed3\u6784\u7b49\u7b49\u3002\u53ef\u80fd\u7684\u672a\u6765\u7814\u7a76\u65b9\u5411\u5305\u62ec\uff1a(1)\u5bf9\u4e8e\u5177\u6709\u591a\u7269\u7406\u573a\u3001\u590d\u6742\u51e0\u4f55\u7ed3\u6784\u3001\u9ad8\u5ea6\u975e\u7ebf\u6027\u6216\u8005\u591a\u5c3a\u5ea6\u7279\u5f81\u7684\u7cfb\u7edf\uff0c\u5f00\u53d1\u66f4\u597d\u7684\u8868\u793a\u65b9\u5f0f\u548cAI\u4eff\u771f\u65b9\u6cd5\uff1b(2)\u5f00\u53d1\u878d\u5408\u7269\u7406\u5148\u9a8c\u3001\u4eff\u771f\u6570\u636e\u3001\u5b9e\u9a8c\u89c2\u6d4b\u7684\u5168\u65b0\u673a\u5668\u5b66\u4e60\u6846\u67b6\uff1b(3)\u5229\u7528\u9884\u8bad\u7ec3\u7684\u57fa\u7840\u6a21\u578b<\/span> (Foundation Model) <\/span>\u4e3a\u79d1\u5b66\u8ba1\u7b97\u591a\u6837\u6027\u573a\u666f\u3001\u6570\u636e\u532e\u4e4f\u7684\u60c5\u51b5\u4e0b\u5e26\u6765\u4f18\u52bf\uff1b(4)\u5f00\u53d1\u66f4\u52a0\u53ef\u4fe1\u7684\u4eff\u771f\u6a21\u578b\uff0c\u80fd\u5728\u5168\u65b0\u7684\u73af\u5883\u4e0b\u9884\u6d4b\u5e76\u7ed9\u51fa\u53ef\u8bc1\u660e\u7684\u8bef\u5dee\u4fdd\u8bc1,\u8fd9\u5bf9\u4e8e\u6a21\u578b\u5728\u5b9e\u9645\u4e2d\u88ab\u5927\u89c4\u6a21\u91c7\u7528\u81f3\u5173\u91cd\u8981\u3002<\/span><\/span><\/p>\n


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

\u5173\u4e8e\u8bbe\u8ba1\u4e0e\u63a7\u5236\uff0c\u6df1\u5ea6\u5b66\u4e60\u6280\u672f\u5728\u5176\u4e0a\u7684\u7814\u7a76\u5de5\u4f5c\u76f8\u8f83\u4e8e\u4eff\u771f\u8fd8\u8f83\u5c11\u3002\u5176\u4e2d\u4e00\u4e2a\u95ee\u9898\u662f\u7531\u4e0e\u771f\u5b9e\u7269\u7406\u7cfb\u7edf\u4ea4\u4e92\u7684\u9ad8\u6602\u4ee3\u4ef7\uff0c\u5bfc\u81f4\u7684\u5bf9\u6c42\u89e3\u5668\u7684\u9700\u6c42\uff0c\u751a\u81f3\u662f\u53ef\u5fae\u7684\u4eff\u771f\u5668\u7684\u9700\u6c42\u3002\u6b64\u5916\uff0c\u5982\u4f55\u8fdb\u884c\u5927\u89c4\u6a21\u7684\u7ec4\u5408\u8bbe\u8ba1\uff0c\u5c24\u5176\u8bbe\u8ba1\u51fa\u6bd4\u8bad\u7ec3\u96c6\u66f4\u52a0\u590d\u6742\u7684\u7cfb\u7edf\uff0c\u8fd9\u5728\u5408\u6210\u751f\u7269\u5b66\u3001\u82af\u7247\u8bbe\u8ba1\u3001\u5236\u9020\u4e1a\u7b49\u65b9\u9762\u5c06\u6709\u5e7f\u6cdb\u5e94\u7528\u3002\u6b64\u5916\uff0c\u53e6\u4e00\u4e2a\u91cd\u8981\u7684\u7814\u7a76\u65b9\u5411\u662f\u5982\u4f55\u89e3\u51b3\u73b0\u5b9e\u573a\u666f\u4e2d\u5341\u5206\u91cd\u8981\u7684\u6709\u5b89\u5168\u7ea6\u675f\u7684\u63a7\u5236\u95ee\u9898\uff0c\u4f7f\u5f97\u6a21\u578b\u5728\u5168\u65b0\u73af\u5883\u4e0b\u7684\u63a7\u5236\u4e0d\u4f1a\u8d85\u8fc7\u5b89\u5168\u533a\u95f4\u3002<\/span><\/span><\/p>\n


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

\u5728\u4eba\u5de5\u667a\u80fd\u52a9\u529b\u79d1\u5b66\u53d1\u73b0\u9886\u57df\uff0c\u6784\u5efa\u4e00\u4e2a\u201cAI \u79d1\u5b66\u5bb6\u201d\uff0c\u5e76\u771f\u6b63\u5e2e\u52a9\u4eba\u7c7b\u79d1\u5b66\u5bb6\u5728\u5404\u95e8\u5b66\u79d1\u5b9e\u73b0\u5404\u7c7b\u65b0\u7684\u53d1\u73b0\uff0c\u662f\u4e00\u4e2a\u4ee4\u4eba\u5174\u594b\u7684\u957f\u671f\u603b\u4f53\u76ee\u6807\u3002\u5728\u8fd9\u91cc\uff0c[64]\u63d0\u51fa\u201cAI \u7b1b\u5361\u5c14\u201d\u67b6\u6784<\/span>\uff08\u56fe 22\uff09<\/span>\uff0c\u6784\u60f3\u4e86\u4e00\u4e2a\u672a\u6765\u7684\u201cAI \u79d1\u5b66\u5bb6\u201d\u53ef\u80fd\u7684\u7ec4\u6210\u90e8\u5206\uff0c\u5305\u62ec\uff1a\u6839\u636e\u89c2\u6d4b\u6570\u636e\u548c\u5148\u9a8c\u77e5\u8bc6\u63d0\u51fa\u65b0\u7684\u731c\u60f3\u548c\u7406\u8bba\uff0c\u901a\u8fc7\u63a8\u7406\u8fdb\u4e00\u6b65\u7cbe\u70bc\u7406\u8bba\uff0c\u63d0\u51fa\u5b9e\u9a8c\u65b9\u6848\uff0c\u5b9e\u9645\u5b9e\u9a8c\u9a8c\u8bc1\u5f97\u5230\u65b0\u7684\u89c2\u6d4b\u6570\u636e\uff0c\u4ee5\u4e0a\u5f62\u6210\u4e00\u4e2a\u95ed\u73af\u3002\u6211\u4eec\u76f8\u4fe1\uff0c\u8fd9\u6837\u7684 AI \u79d1\u5b66\u5bb6\u5c06\u5728\u4e0d\u4e45\u540e\u51fa\u73b0\uff0c\u7ed3\u5408\u5f3a\u5927\u7684\u5927\u8bed\u8a00\u6a21\u578b\u4f5c\u4e3a \u201c\u5927\u8111\u201d\uff0c\u5e76\u52a0\u4e0a\u4eba\u7c7b\u79ef\u7d2f\u7684\u6240\u6709\u79d1\u5b66\u77e5\u8bc6\u4f5c\u4e3a\u201c\u77e5\u8bc6\u5e93\u201d\uff0c\u672a\u6765\u5c06\u80fd\u6709\u6548\u52a9\u529b\u5404\u95e8\u5b66\u79d1\u79d1\u7814\u7684\u8fdb\u5c55\u3002\u5728\u6b64\u4e4b\u524d\uff0c\u8fd9\u4e00 AI \u79d1\u5b66\u5bb6\u7684\u4e0d\u540c\u90e8\u5206\uff0c\u5305\u62ec\u81ea\u52a8\u731c\u60f3\u751f\u6210\u3001\u5b9a\u7406\u81ea\u52a8\u8bc1\u660e\u3001\u81ea\u52a8\u5316\u5b9e\u9a8c<\/span>\uff08auto-lab\uff09<\/span>\u3001\u79d1\u5b66\u6587\u732e\u5927\u8bed\u8a00\u6a21\u578b\u7b49\u65b9\u9762\u5c06\u4f1a\u6709\u7a81\u98de\u731b\u8fdb\u7684\u53d1\u5c55\u3002<\/span><\/span><\/p>\n


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

<\/section>\n

\u56fe 22\uff1aAI \u7b1b\u5361\u5c14\u67b6\u6784<\/span><\/span>[64]<\/span><\/span><\/sup><\/span><\/p>\n


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

5.2 \u603b\u7ed3<\/span><\/span><\/p>\n

\u4eba\u5de5\u667a\u80fd\u4e0e\u79d1\u5b66\u7684\u7ed3\u5408\u662f\u8fd1\u51e0\u5e74\u51fa\u73b0\u7684\u6700\u6fc0\u52a8\u4eba\u5fc3\u7684\u8fdb\u5c55\u548c\u8d8b\u52bf\u4e4b\u4e00\u3002\u5c06\u4eba\u5de5\u667a\u80fd\u7684\u5f3a\u5927\u80fd\u529b\u6e17\u900f\u5230\u79d1\u5b66\u7814\u7a76\u7684\u5404\u4e2a\u65b9\u9762\uff0c\u65e2\u80fd\u8ba9\u5e7f\u5927\u79d1\u6280\u5de5\u4f5c\u8005\u62e5\u6709\u4e00\u7cfb\u5217\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u52a0\u901f\u79d1\u7814\u53d1\u5c55\uff1b\u540c\u65f6\uff0c\u5728\u89e3\u51b3\u95ee\u9898\u7684\u8fc7\u7a0b\u4e2d\u53d1\u5c55\u51fa\u6765\u7684\u65b0\u7684\u79d1\u5b66\u7406\u8bba\u548c\u65b9\u6cd5\uff0c\u4e5f\u80fd\u53cd\u8fc7\u6765\u63a8\u8fdb\u4eba\u5de5\u667a\u80fd\u7684\u53d1\u5c55\u3002\u672c\u6587\u4ece\u4eba\u5de5\u667a\u80fd\u52a0\u901f\u79d1\u5b66\u4eff\u771f\u3001\u8bbe\u8ba1\u548c\u63a7\u5236\u3001\u53d1\u73b0\u4e09\u65b9\u9762\uff0c\u9610\u8ff0\u4e86\u8fd9\u4e9b\u9886\u57df\u7684\u4efb\u52a1\u8bbe\u7f6e\u548c\u4e00\u4e9b\u4ee3\u8868\u6027\u5de5\u4f5c\uff0c\u4ee5\u671f\u8bfb\u8005\u80fd\u591f\u521d\u6b65\u719f\u6089\u8fd9\u4e9b\u9886\u57df\u3002\u76f8\u4fe1\u968f\u7740\u4eba\u5de5\u667a\u80fd\u4e0e\u5404\u95e8\u79d1\u5b66\u7684\u8fdb\u4e00\u6b65\u4ea4\u53c9\u3001\u878d\u5408\uff0c\u4eba\u5de5\u667a\u80fd\u548c\u79d1\u5b66\u7684\u53d1\u5c55\u80fd\u591f\u8fdb\u4e00\u6b65\u52a0\u901f\uff0c\u540c\u65f6\u4f1a\u6709\u66f4\u591a\u6fc0\u52a8\u4eba\u5fc3\u7684\u53d1\u73b0\u3002<\/span><\/span><\/p>\n


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

\n


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

\n
\n
\n
\n
\n

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

\n
\n
\n
\n


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

[ 1 ]  WANG Sifan, WANG Hanwen, PERDIKARIS P. Learning the solution operator of parametric partial differential equations with<\/span><\/span><\/span><\/p>\n

physics-informed DeepONets[ J] . Science Advances, 2021, 7(40) : eabi8605.<\/span><\/span><\/span><\/p>\n

[ 2 ] LI Zongyi, ZHENG Hongkai, KOVACHKI N, et al. Physics-informed neural operator for learning partial differential equations[ J] . ACM \/ JMS Journal of Data Science, 2024, 3(1) : 1-27.<\/span><\/span><\/span><\/p>\n

[ 3 ] SHU Dule, LI Zijie, BARATI FARIMANI A. A physics-informed diffusion model for high-fidelity flow field reconstruction[ J] . Journal of Computational Physics, 2023, 478: 111972.<\/span><\/span><\/span><\/p>\n

[ 4 ] UM K, BRAND R, HOLL P, THUEREY N. Solver-in-the-Loop: Learning from differentiable physics to interact with iterative pde-solvers[C] . Thirty-fourth Annual Conference on Neural Information Processing Systems( NeurIPS) ,Vancouver, Canada,2022.<\/span><\/span><\/span><\/p>\n

[ 5 ] PESTOURIE R, MROUEH Y, RACKAUCKAS C. et al. Physics-enhanced deep surrogates for partial differential equations[ J] . Nature Machine Intelligence, 2023, 12(5) : 1458-1465.<\/span><\/span><\/span><\/p>\n

[ 6 ] RAO Chengping, REN Pu, WANG Qi, et al. Encoding physics to learn reaction <\/span><\/span><\/span>\u2013 <\/span><\/span><\/span>diffusion processes[ J] . Nature Machine Intelligence, 2023, 5(7) :765-779.<\/span><\/span><\/span><\/p>\n

[ 7 ] WANG H, LI J, DWIVEDI A, et al. BENO: Boundary – embedded neural operators for elliptic PDEs [ C] . The Twelfth International Conference on Learning Representations( ICLR) ,Vienna, Austria, 2024.<\/span><\/span><\/span><\/p>\n

[ 8 ] SATORRAS V G, HOOGEBOOM E, WELLING M. E ( n ) equivariant graph neural networks [ C ] . The Thirty – eighth International Conference on Machine Learning( ICML) , 2021.<\/span><\/span><\/span><\/p>\n

[ 9 ] ZHANG Linfeng, HAN Jiequn, WANG Han, et al. Deep potential molecular dynamics: a scalable model with the accuracy of quantum mechanics[ J] . Physical Review Letters, 2018, 120(14) : 143001.<\/span><\/span><\/span><\/p>\n

[10] SCH\u00dcTT K T, KINDERMANS P J, SAUCEDA H E, et al. SchNet: A continuous – filter convolutional neural network for modeling quantum interactions[ C] . The Thirty – first Annual Conference on Neural Information Processing Systems ( NIPS) , Long Beach California USA, 2017.<\/span><\/span><\/span><\/p>\n

[11] WEILER M, FORR\u00c9 P, VERLINDE E, et al. Coordinate independent convolutional networks – – isometry and gauge equivariant convolutions on riemannian manifolds [ C ] . The Twelfth International Conference on Learning Representations( ICLR) ,Vienna, Austria, 2024.<\/span><\/span><\/span><\/p>\n

[12] VILLAR S, HOGG D W, STOREY-FISHER K, et al. Scalars are universal: Equivariant machine learning, structured like classical physics[C] . The Thirty-fifth Annual Conference on Neural Information Processing Systems(NeurIPS) , 2021.<\/span><\/span><\/span><\/p>\n

[13] RAISSI M, PERDIKARI P. KARNIADAKIS G E. Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations[ J] . Journal of Computational Physics, 2019, 378: 686-707.<\/span><\/span><\/span><\/p>\n

[14] SANCHEZ-GONZALEZ A, GODWIN J, PFAFF T, et al. Learning to simulate complex physics with graph networks[C] . The Thirty-seventh International Conference on Machine Learning( ICML) , 2020.<\/span><\/span><\/span><\/p>\n

[15]  WU Tailin, WANG Qinchen, ZHANG Yinan, et al. Learning large-scale subsurface simulations with a hybrid graph network simulator[ C] \/ \/ Proceedings of the 28th ACM SIGKDD Conference on Knowledge Discovery and Data Mining. New York: Association for Computing Machinery, 2020: 4184-4194.<\/span><\/span><\/span><\/p>\n

[16]  LAM R, SANCHEZ-GONZALEZ A, WILLSON M, et al. Learning skillful medium-range global weather forecasting [ J ] . Science, 2023, 382(6677) : 1416-1421.<\/span><\/span><\/span><\/p>\n

[17] PFAFF T, FORTUNATO M, SANCHEZ-GONZALEZ A, et al. Learning mesh-based simulation with graph networks[C] The Ninth International Conference on Learning Representations( ICLR) ,2021.<\/span><\/span><\/span><\/p>\n

[18] WU T, MARUYAMA T, ZHAO Q, et al. Learning controllable adaptive simulation for multi – resolution physics [ C] . The Eleventh International Conference on Learning Representations( ICLR) , Kigali, Rwanda,2023.<\/span><\/span><\/span><\/p>\n

[19] SHLOMI, J, BATTAGLIA P, VLIMANT J R. Graph neural networks in particle physics[ J] . Machine Learning: Science and Technology, 2020, 2(2) : 021001.<\/span><\/span><\/span><\/p>\n

[20] WU Tailin, SUN M, JASON Chou H G, et al.  Learning efficient Hybrid particle-continuum Representations of Nonequilibrium N-body systems[EB \/ OL] . (2023-05-06) . https: \/ \/ openreview. net \/ forum? id = Rd68eTARk4.<\/span><\/span><\/span><\/p>\n

[21] LI He, WANG Zun, ZOU Nianlong, et al. Deep-learning density functional theory Hamiltonian for efficient <\/span><\/span><\/span>ab initio electronic-structure calculation[ J] . Nature Computational Science, 2022, 2(6) : 367-377.<\/span><\/span><\/span><\/p>\n

[22] XIE T, FU X, GANEA O E, et al. Crystal diffusion variational autoencoder for periodic material generation[ C] . The Tenth International Conference on Learning Representations( ICLR) , 2022.<\/span><\/span><\/span><\/p>\n

[23] LI Z, MEIDANI K, YADAV P, FARIMANI A B. Graph neural networks accelerated molecular dynamics[ J] . https: \/ \/ arxiv.org \/ abs\/ 2112. 03383, 2022.<\/span><\/span><\/span><\/p>\n

[24] VILLANUEVA-DOMINGO P, VILLAESCUSA-NAVARRO V, ANGL\u00c9S-ALC\u00c1ZAR, D, et al. Inferring halo masses with graph neural networks[ J] . The Astrophysical Journal, 2022, 935(1) : 30.<\/span><\/span><\/span><\/p>\n

[25] LI Z, KOVACHKI N, AZIZZADENESHELI K, et al. Fourier neural operator for parametric partial differential equations[C] . The Ninth International Conference on Learning Representations( ICLR) ,2021.<\/span><\/span><\/span><\/p>\n

[26] PATHAK J, SUBRAMANIAN S, HARRINGTON P, et al. FourCastNet: A global data-driven high-resolution weather model using adaptive fourier neural operators[C] . The Eleventh International Conference on Learning Representations( ICLR) ,Kigali, Rwanda,2023.<\/span><\/span><\/span><\/p>\n

[27] WEN Gege, LI Zongyi, LONG Qirrui, et al. Real-time high-resolution CO2 geological storage prediction using nested Fourier neural operators[ J] . Energy & Environmental Science, 2023, 16(4) : 1732-1741.<\/span><\/span><\/span><\/p>\n

[28] ALLEN K R, LOPEZ-GUEVARA T, STACHENFELD K, et al. Physical design using differentiable learned simulators[ C] .The Twelfth International Conference on Learning Representations( ICLR) , Vienna, Austria,2024.<\/span><\/span><\/span><\/p>\n

[29] WU Tailin, MARUYAMA T, LESKOVEC J. Learning to accelerate partial differential equations via latent global evolution<\/span><\/span><\/span><\/p>\n

[EB \/ OL] . Advances in Neural Information Processing Systems, 2022: 10404055(2022-01-01) [ 2024-07-25] . https: \/ \/par. nsf. gov \/ biblio \/ 10404055-learning-accelerate-partial-differential-equations-via-latent-global-evolution.<\/span><\/span><\/span><\/p>\n

[30] ZHAO Qingqing, LINDELL D, WETZSTEIN G. Learning to solve PDE-constrained inverse problems with graph networks[C] . International Conference on Machine Learning,PMLR,2022.<\/span><\/span><\/span><\/p>\n

[31] DEGRAVE J, FELICI F, BUCHLI J, et al. Magnetic control of tokamak plasmas through deep reinforcement learning[ J] .Nature, 2022,602(7897) : 414-419.<\/span><\/span><\/span><\/p>\n

[32] RABAULT J, Ren Feng, Zhang Wei, et al. Deep reinforcement learning in fluid mechanics: A promising method for both active flow control and shape optimization[ J] . Journal of Hydrodynamics, 2020, 32: 234-246.<\/span><\/span><\/span><\/p>\n

[33] YOU J, LIU B, YING R, et al. Graph convolutional policy network for goal – directed molecular graph generation [ C] . The Thirty-second Annual Conference on Neural Information Processing Systems(NeurIPS) , Montreal, Canada,2018.<\/span><\/span><\/span><\/p>\n

[34] OpenAI team. Video generation models as world simulators [ EB \/ OL] . ( 2024 – 02 – 15) [ 2024 – 07 – 25] . https: \/ \/ openai.com \/ index \/ video-generation-models-as-world-simulators\/ .<\/span><\/span><\/span><\/p>\n

[35] WU T, MARUYAMA T, WEI L, et al. Compositional generative inverse design[C] . The Twelfth International Conference on Learning Representations( ICLR) ,Vienna, Austria,2024.<\/span><\/span><\/span><\/p>\n

[36] JAN-HENDRIK B, DENNIS M. K. Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models[ J] . Nature Machine Intelligence, 2023, 5(12) : 1466-1475.<\/span><\/span><\/span><\/p>\n

[37] WEI L, HU P, FENG R, et al. DiffPhyCon: A generative approach to control complex physical systems[ C] . The Thirty -eighth Annual Conference on Neural Information Processing Systems(NeurIPS) ,New Orleans,2024.<\/span><\/span><\/span><\/p>\n

[38] WATSON J L, JUERGENS D, BENNETT N R, et al. De novo design of protein structure and function with RFdiffusion[ J] . Nature, 2023, 620(7976) : 1089-1100.<\/span><\/span><\/span><\/p>\n

[39] ABRAMSON JOSH, ADLER JONAS, DUNGER J, et al. Accurate structure prediction of biomolecular interactions with AlphaFold 3[ J] . Nature, 2024, 630: 493-500.<\/span><\/span><\/span><\/p>\n

[40] LU Lu, PESTOURIE R, YAO Wenjie, et al. Physics-informed neural networks with hard constraints for inverse design[ J] . SIAM Journal on Scientific Computing, 2021, 43(6) : B1105-B1132.<\/span><\/span><\/span><\/p>\n

[41] YU J, LU Lu, MENG Xuhui, et al. Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems[ J] . 2022, 393: 114823.<\/span><\/span><\/span><\/p>\n

[42] HAO Z, YING C, SU H, et al. Bi-level physics-informed neural networks for PDE constrained optimization using Broyden’s hypergradients[C] . The Eleventh International Conference on Learning Representations( ICLR) ,Kigali, Rwanda, 2023.<\/span><\/span><\/span><\/p>\n

[43] POKKUNURU A, ROOSHENAS P, STRAUSS T, et al. Improved training of physics-informed neural networks using energybased priors: A study on electrical impedance tomography[EB \/ OL] . [ 2024- 07- 30] . https: \/ \/ ml4physicalsciences. github.io \/ 2022 \/ files\/ NeurIPS_ML4PS_2022_92. pdf.<\/span><\/span><\/span><\/p>\n

[44] MOWLAVI S, NABI S. Optimal control of PDEs using physics-informed neural networks [ J ] . Journal of Computational Physics, 2023, 473: 111731.<\/span><\/span><\/span><\/p>\n

[45] BARRY-STRAUME J, SARSHAR A, POPOV A A, et al. Physics-informed neural networks for PDE-constrained optimization and control[DB \/ OL] . arXiv, 2022: 03377(2022-08-18) [2024-07-30] . https: \/ \/ arxiv. org \/ abs\/ 2205. 03377.<\/span><\/span><\/span><\/p>\n

[46] MOLINARO R, YANG Y, ENGQUIST B, et al. Neural inverse operators for solving PDE inverse problems[C] . The Fortieth International Conference on Machine Learning( ICML) ,Honolulu, Hawaii, USA, 2023.<\/span><\/span><\/span><\/p>\n

[47] LU Lu, JIN Pengzhan, PANG Guofei, et al. Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators[ J] . Nature Machine Intelligence, 2021, 3(3) : 218-229.<\/span><\/span><\/span><\/p>\n

[48] BRUNTON S L, PROCTOR J L, KUTZ J N. Discovering governing equations from data by sparse identification of nonlinear dynamical systems[ J] . Proceedings of the National Academy of Sciences of the United States of America, 2016, 113( 15) :3932-3937.<\/span><\/span><\/span><\/p>\n

[49] KAHEMAN K, KUTZ J N, BRUNTON S L. SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics[ J] . Proceedings. Mathematical, Physical, and Engineering Sciences, 2020, 476(2242) : 20200279.<\/span><\/span><\/span><\/p>\n

[50] MESSENGER D A, BORTZ D M. WEAK SINDy: GALERKIN-BASED DATA-DRIVEN MODEL SELECTION[ J] . Multiscale Modeling & Simulation, 2021, 19(3) : 1474-1497.<\/span><\/span><\/span><\/p>\n

[51] UDRESCU S M, TEGMARK M. AI feynman: a physics-inspired method for symbolic regression [ J] . Science Advances,2020, 6(16) : eaay2631.<\/span><\/span><\/span><\/p>\n

[52] UDRESCU S M, TAN A, FENG J, et al. AI Feynman 2. 0: Pareto-optimal symbolic regression exploiting graph modularity<\/span><\/span><\/span><\/p>\n

[C] . Thirty-Fourth Annual Conference on Neural Information Processing Systems(NeurIPS) ,Vancouver, Canada,2020.<\/span><\/span><\/span><\/p>\n

[53] LIU Ziming, TEGMARK M. Machine learning hidden symmetries[ J] . Physical Review Letters, 2022, 128(18) : 180201.<\/span><\/span><\/span><\/p>\n

[54] LIU Ziming, WANG Yixuan, VAIDYA S, et al. KAN: Kolmogorov-Arnold Networks[DB \/ OL] . arXiv, 2024: 19756(2024-04-30) [2024-07-30] . https: \/ \/ arxiv. org \/ abs\/ 2404. 19756.<\/span><\/span><\/span><\/p>\n

[55] LIU Ziming, MA Pingchuan, WANG Yixuan, et al. KAN 2. 0: Kolmogorov-arnold networks meet science[ DB \/ OL] . arXiv, 2024: 10205(2024-08-19) [2024-07-30] . https: \/ \/ arxiv. org \/ html \/ 2408. 10205v1.<\/span><\/span><\/span><\/p>\n

[56] JIANG Z, WANG C, YANG H. Finite expression methods for discovering physical laws from data [ C ] . The Twelfth International Conference on Learning Representations( ICLR) ,Vienna, Austria, 2024.<\/span><\/span><\/span><\/p>\n

[57] CHEN Yuntian, LUO Yingtao, LIU Qiang, et al. Symbolic genetic algorithm for discovering open-form partial differential equations( SGA-PDE) [ J] . Physical Review Research, 2022, 4(2) : 023174.<\/span><\/span><\/span><\/p>\n

[58] ROMERA-PAREDES R B, BAREKATAIN M, NOVIKOV A, et al. Mathematical discoveries from program search with large language models[ J] . Nature, 2024, 625(7995) : 468-475.<\/span><\/span><\/span><\/p>\n

[59] TRINH T H, WU Yuhuai, LE Q V, et al. Solving olympiad geometry without human demonstrations[ J] . Nature, 2024, 625:476-482.<\/span><\/span><\/span><\/p>\n

[60] BOIKO D A, MACKNIGHT R, Kline B, et al. Autonomous chemical research with large language models[ J] . Nature, 2023,624(7992) : 570-578.<\/span><\/span><\/span><\/p>\n

[61] ALFARANO A, CHARTON F, HAYAT A, et al. Global Lyapunov functions: a long-standing open problem in mathematics,with symbolic transformersp[C] . The Twelfth International Conference on Learning Representations( ICLR) ,Vienna, Austria,2024.<\/span><\/span><\/span><\/p>\n

[62] JANSEN P, C\u00d4T\u00c9 M A, KHOT T, et al. DiscoveryWorld: A virtual environment for developing and evaluating automated scientific discovery agents[ C] . The Thirty-eighth Annual Conference on Neural Information Processing Systems( NeurIPS) ,New Orleans,2024.<\/span><\/span><\/span><\/p>\n

[63] MAJUMDER B P, TAFJORD O, CLARK P. ScienceAgentBench: Toward rigorous assessment of language agents for data-driven scientific discovery[ C] . The Twelfth International Conference on Learning Representations( ICLR) , Vienna, Austria,2024.<\/span><\/span><\/span><\/p>\n

[64] CORNELIO C, DASH S, AUSTEL V, et al. Combining data and theory for derivable scientific discovery with AI-Descartes[ J] . Nature Communications, 2023, 14(1) : 1777.<\/span><\/span><\/span><\/p>\n


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


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

\n
\n

\u53c2\u8003\u6587\u732e\u53ef<\/span>\u4e0a\u4e0b\u6ed1\u52a8<\/span><\/strong>\u67e5\u770b<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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


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

-\u76f4\u64ad\u9884\u544a-<\/span><\/span><\/p>\n

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


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

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


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

\n
\n
\n
\n

\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u8bfb\u4e66\u4f1a\u542f\u52a8\uff01<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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

2024\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956\u6388\u4e88\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff0c\u8fd9\u662f\u4e00\u573a\u7edf\u8ba1\u7269\u7406\u5f15\u53d1\u7684\u673a\u5668\u5b66\u4e60\u9769\u547d\u3002\u7edf\u8ba1\u7269\u7406\u5b66\u4e0d\u4ec5\u80fd\u89e3\u91ca\u70ed\u5b66\u73b0\u8c61\uff0c\u8fd8\u80fd\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4ece\u5fae\u89c2\u7c92\u5b50\u5230\u5b8f\u89c2\u5b87\u5b99\u7684\u5404\u4e2a\u5c42\u7ea7\u5982\u4f55\u8054\u7cfb\u8d77\u6765\uff0c\u590d\u6742\u73b0\u8c61\u5982\u4f55\u6d8c\u73b0\u3002\u5b83\u901a\u8fc7\u7814\u7a76\u5927\u91cf\u7c92\u5b50\u7684\u96c6\u4f53\u884c\u4e3a\uff0c\u6210\u529f\u5730\u5c06\u5fae\u89c2\u4e16\u754c\u7684\u968f\u673a\u6027\u4e0e\u5b8f\u89c2\u4e16\u754c\u7684\u786e\u5b9a\u6027\u8054\u7cfb\u8d77\u6765\uff0c\u4e3a\u6211\u4eec\u7406\u89e3\u81ea\u7136\u754c\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u4e5f\u4e3a\u673a\u5668\u5b66\u4e60\u548c\u4eba\u5de5\u667a\u80fd\u9886\u57df\u7684\u53d1\u5c55\u63d0\u4f9b\u4e86\u91cd\u8981\u63a8\u52a8\u529b\u3002<\/span><\/span><\/p>\n


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

\u4e3a\u4e86\u6df1\u5165\u63a2\u7d22\u7edf\u8ba1\u7269\u7406\u524d\u6cbf\u8fdb\u5c55\uff0c<\/span>\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u897f\u6e56\u5927\u5b66\u7406\u5b66\u9662\u53ca\u4ea4\u53c9\u79d1\u5b66\u4e2d\u5fc3\u8bb2\u5e2d\u6559\u6388\u6c64\u96f7\u7ff0\u3001\u7ebd\u7ea6\u5dde\u7acb\u5927\u5b66\u77f3\u6eaa\u5206\u6821\u5316\u5b66\u548c\u7269\u7406\u5b66\u7cfb\u6559\u6388\u6c6a\u52b2\u3001\u5fb7\u7d2f\u65af\u987f\u7cfb\u7edf\u751f\u7269\u5b66\u4e2d\u5fc3\u535a\u58eb\u540e\u7814\u7a76\u5458\u6881\u5e08\u7fce\u3001\u9999\u6e2f\u6d78\u4f1a\u5927\u5b66\u7269\u7406\u7cfb\u52a9\u7406\u6559\u6388\u5510\u4e7e\u5143\uff0c\u4ee5\u53ca\u591a\u4f4d\u56fd\u5185\u5916\u77e5\u540d\u5b66\u8005\u5171\u540c\u53d1\u8d77\u300c\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u300d\u8bfb\u4e66\u4f1a<\/a>\u3002\u8bfb\u4e66\u4f1a\u65e8\u5728\u63a2\u8ba8\u7edf\u8ba1\u7269\u7406\u5b66\u7684\u6700\u65b0\u7406\u8bba\u7a81\u7834\uff0c\u7edf\u8ba1\u7269\u7406\u5728\u590d\u6742\u7cfb\u7edf\u548c\u751f\u547d\u79d1\u5b66\u4e2d\u7684\u5e94\u7528\uff0c\u4ee5\u53ca\u4e0e\u673a\u5668\u5b66\u4e60\u7b49\u524d\u6cbf\u9886\u57df\u7684\u4ea4\u53c9\u7814\u7a76\u3002\u8bfb\u4e66\u4f1a\u4ece12\u670812\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u56db\u665a20:00-22:00\u8fdb\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba112\u5468\u3002\u6211\u4eec\u8bda\u631a\u9080\u8bf7\u5404\u4f4d\u670b\u53cb\u53c2\u4e0e\u8ba8\u8bba\u4ea4\u6d41\uff0c\u4e00\u8d77\u63a2\u7d22\u7231\u56e0\u65af\u5766\u773c\u4e2d\u7684\u666e\u9002\u7406\u8bba\uff01<\/span><\/span><\/span><\/p>\n


<\/span><\/section>\n
\"\u56fe\u7247\"<\/span><\/a><\/section>\n

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

\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/span>\u4ece\u70ed\u529b\u5b66\u3001\u751f\u547d\u5230\u4eba\u5de5\u667a\u80fd\u7684\u7edf\u8ba1\u7269\u7406\u4e4b\u8def\uff1a\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u8bfb\u4e66\u4f1a\u542f\u52a8\uff01<\/a><\/span><\/span><\/p>\n


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


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

\u63a8\u8350\u9605\u8bfb<\/span><\/span><\/strong><\/strong><\/strong><\/section>\n
<\/strong><\/section>\n
1. \u5df4\u62c9\u5df4\u897f\u65b0\u4f5c\uff1aAI-Bind \u52a9\u529b\u86cb\u767d\u8d28-\u914d\u4f53\u7ed3\u5408\u9884\u6d4b<\/span><\/a><\/span><\/strong>
<\/span><\/strong><\/span><\/section>\n
2. \u5f53AI\u8bfb\u61c2\u8111\u7535\u6ce2\uff1a\u4eba\u673a\u534f\u540c\u7684\u521b\u610f\u8bbe\u8ba1\u65b0\u6d6a\u6f6e<\/span><\/a><\/span><\/strong>
<\/span><\/strong><\/span><\/section>\n
3. Nature\uff1a\u751f\u6210\u5f0fAI\u6a21\u578b\u5982\u4f55\u7528\u4e8e\u8f85\u52a9\u4eba\u7c7b\u521b\u610f\u8bbe\u8ba1<\/span><\/a><\/span><\/strong>
<\/span><\/strong><\/span><\/section>\n
4. <\/span><\/span><\/strong><\/span>\u6d8c\u73b0\u52a8\u529b\u5b66\u5982\u4f55\u7528\u6765\u5206\u6790\u590d\u6742\u7cfb\u7edf\uff1f | \u65b0\u8bfe\u4e0a\u7ebf<\/a><\/span><\/strong><\/strong><\/span><\/section>\n
<\/strong>5. <\/span><\/strong>AI\u65f6\u4ee3\u7684\u5b66\u4e60\uff1a\u5171\u63a2\u4eba\u7c7b\u5b66\u4e60\u7684\u590d\u6742\u6027<\/span><\/a><\/span><\/strong><\/section>\n

6. <\/span><\/strong>\u63a2\u7d22\u8005\u8ba1\u5212 | \u96c6\u667a\u4ff1\u4e50\u90e82025\u5185\u5bb9\u56e2\u961f\u62db\u52df\uff08\u5168\u804c&\u517c\u804c\uff09<\/a><\/span><\/strong><\/span><\/p>\n


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


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

\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u6458\u8981 \u8fd1\u5e74\u6765\uff0c\u968f\u7740AI for Science\uff08\u79d1\u5b66\u667a\u80fd\uff09\u7684\u84ec\u52c3\u53d1\u5c55\uff0c\u4eba\u5de5\u667a\u80fd\u4e0e\u5404\u95e8\u79d1\u5b66\u7684\u4ea4\u53c9\u878d\u5408\u9010\u6e10\u6210\u4e3a\u4e00\u4e2a\u663e\u8457\u7684\u79d1\u5b66\u7814\u7a76\u8d8b\u52bf\u3002\u4f46\u662f\uff0cAI for Science\u6240\u6d89\u53ca\u7684\u8303\u56f4\u5f88\u5e7f\uff0c\u5b66\u79d1\u4f17\u591a\uff0c\u56e0\u6b64\uff0c\u5c06\u5176\u68b3\u7406\u6210\u4e00\u4e2a\u7edf\u4e00\u7684\u4f53\u7cfb\u80fd\u591f\u66f4\u597d\u5730\u4e3a\u521d\u5165\u9886\u57df\u7684\u7814\u7a76\u8005\u5bfc\u822a\u3002\u672c\u6587\u8ba4\u4e3a\uff0c\u5c3d\u7ba1\u5404\u95e8\u79d1\u5b66\u7814\u7a76\u7684\u5bf9\u8c61\u3001\u65b9\u6cd5\u770b\u4f3c\u5343…<\/p>\n","protected":false},"author":0,"featured_media":58737,"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\/58772"}],"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=58772"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/58772\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/58737"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=58772"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=58772"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=58772"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=58772"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}