{"id":4426,"date":"2024-08-25T09:52:54","date_gmt":"2024-08-25T01:52:54","guid":{"rendered":"https:\/\/nullthought.net\/?p=4426"},"modified":"2024-11-26T15:20:11","modified_gmt":"2024-11-26T07:20:11","slug":"surrogate-modelling%ef%bc%8c%e6%9b%bf%e4%bb%a3%e5%bb%ba%e6%a8%a1","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=4426","title":{"rendered":"Surrogate Modelling\uff0c\u66ff\u4ee3\u5efa\u6a21"},"content":{"rendered":"\n

Surrogate Modelling\uff08\u66ff\u4ee3\u5efa\u6a21\uff09\u662f\u4e00\u79cd\u4f7f\u7528\u7b80\u5355\u3001\u8ba1\u7b97\u6548\u7387\u9ad8\u7684\u6a21\u578b\u6765\u8fd1\u4f3c\u590d\u6742\u3001\u8ba1\u7b97\u6602\u8d35\u7684\u771f\u5b9e\u7cfb\u7edf\u7684\u6280\u672f\u3002\u5b83\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5de5\u7a0b\u8bbe\u8ba1\u4f18\u5316\u3001\u6a21\u62df\u3001\u673a\u5668\u5b66\u4e60\u3001\u4ee5\u53ca\u79d1\u5b66\u7814\u7a76\u4e2d\u3002\u5176\u4e3b\u8981\u76ee\u7684\u662f\u5728\u7ef4\u6301\u4e00\u5b9a\u7684\u7cbe\u5ea6\u7684\u524d\u63d0\u4e0b\uff0c\u51cf\u5c11\u8ba1\u7b97\u8d44\u6e90\u548c\u65f6\u95f4\u7684\u6d88\u8017\u3002<\/p>\n\n\n\n

\u4e00\u3001Surrogate Modelling \u7684\u5173\u952e\u7279\u70b9<\/h5>\n\n\n\n
    \n
  1. \u66ff\u4ee3\u590d\u6742\u8ba1\u7b97\u6a21\u578b<\/strong>\uff1a \u5728\u8bb8\u591a\u5b9e\u9645\u95ee\u9898\u4e2d\uff0c\u771f\u5b9e\u7cfb\u7edf\u7684\u4eff\u771f\u6a21\u578b\u53ef\u80fd\u975e\u5e38\u590d\u6742\u4e14\u8ba1\u7b97\u4ee3\u4ef7\u9ad8\u6602\u3002\u4f8b\u5982\uff0c\u6d41\u4f53\u52a8\u529b\u5b66\u6a21\u62df\u3001\u7ed3\u6784\u5206\u6790\u3001\u6c14\u5019\u5efa\u6a21\u7b49\u3002\u8fd9\u4e9b\u6a21\u578b\u901a\u5e38\u9700\u8981\u957f\u65f6\u95f4\u7684\u8ba1\u7b97\uff0c\u56e0\u6b64\u5728\u4f18\u5316\u6216\u591a\u6b21\u8bc4\u4f30\u4e2d\u4f7f\u7528\u4f1a\u53d8\u5f97\u975e\u5e38\u4e0d\u73b0\u5b9e\u3002Surrogate Modelling \u901a\u8fc7\u6784\u5efa\u4e00\u4e2a\u8fd1\u4f3c\u6a21\u578b\u6765\u66ff\u4ee3\u539f\u59cb\u7684\u590d\u6742\u6a21\u578b\uff0c\u4ece\u800c\u52a0\u901f\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/li>\n\n\n\n
  2. \u6570\u636e\u9a71\u52a8<\/strong>\uff1a \u66ff\u4ee3\u6a21\u578b\u901a\u5e38\u57fa\u4e8e\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\u6784\u5efa\u3002\u901a\u8fc7\u4ece\u590d\u6742\u6a21\u578b\u4e2d\u91c7\u6837\u5f97\u5230\u7684\u6709\u9650\u6570\u636e\uff0c\u6784\u5efa\u4e00\u4e2a\u80fd\u591f\u8fd1\u4f3c\u9884\u6d4b\u590d\u6742\u6a21\u578b\u8f93\u51fa\u7684\u66ff\u4ee3\u6a21\u578b\u3002\u8fd9\u4e9b\u6570\u636e\u53ef\u80fd\u662f\u5b9e\u9a8c\u6570\u636e\u3001\u6570\u503c\u6a21\u62df\u7ed3\u679c\u6216\u8005\u5386\u53f2\u6570\u636e\u3002<\/li>\n\n\n\n
  3. \u5e38\u89c1\u7684\u66ff\u4ee3\u6a21\u578b\u7c7b\u578b<\/strong>\uff1a\n
      \n
    • Kriging (\u9ad8\u65af\u8fc7\u7a0b\u56de\u5f52)<\/strong>\uff1a\u4e00\u79cd\u57fa\u4e8e\u6982\u7387\u8bba\u7684\u66ff\u4ee3\u6a21\u578b\uff0c\u53ef\u4ee5\u63d0\u4f9b\u9884\u6d4b\u503c\u4ee5\u53ca\u9884\u6d4b\u7684\u4e0d\u786e\u5b9a\u6027\u3002<\/li>\n\n\n\n
    • \u54cd\u5e94\u9762\u6a21\u578b (Response Surface Models)<\/strong>\uff1a\u5229\u7528\u591a\u9879\u5f0f\u62df\u5408\u6765\u8fd1\u4f3c\u771f\u5b9e\u7cfb\u7edf\u7684\u884c\u4e3a\u3002<\/li>\n\n\n\n
    • \u5f84\u5411\u57fa\u51fd\u6570 (Radial Basis Function)<\/strong>\uff1a\u901a\u8fc7\u5728\u8f93\u5165\u7a7a\u95f4\u4e2d\u6784\u5efa\u57fa\u51fd\u6570\u6765\u8fd1\u4f3c\u7cfb\u7edf\u3002<\/li>\n\n\n\n
    • \u652f\u6301\u5411\u91cf\u673a (Support Vector Machines)<\/strong> \u548c \u4eba\u5de5\u795e\u7ecf\u7f51\u7edc (Artificial Neural Networks)<\/strong>\uff1a\u8fd9\u4e9b\u673a\u5668\u5b66\u4e60\u6a21\u578b\u4e5f\u53ef\u4ee5\u4f5c\u4e3a\u66ff\u4ee3\u6a21\u578b\uff0c\u7528\u4e8e\u590d\u6742\u7cfb\u7edf\u7684\u8fd1\u4f3c\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • \u5e94\u7528\u9886\u57df<\/strong>\uff1a\n
        \n
      • \u5de5\u7a0b\u8bbe\u8ba1\u4f18\u5316<\/strong>\uff1a\u5728\u8bbe\u8ba1\u6d41\u7a0b\u4e2d\uff0c\u66ff\u4ee3\u6a21\u578b\u7528\u4e8e\u4ee3\u66ff\u7cbe\u786e\u4f46\u8ba1\u7b97\u6602\u8d35\u7684\u4eff\u771f\u6a21\u578b\uff0c\u4ece\u800c\u52a0\u901f\u8bbe\u8ba1\u4f18\u5316\u8fc7\u7a0b\u3002<\/li>\n\n\n\n
      • \u4e0d\u786e\u5b9a\u6027\u91cf\u5316<\/strong>\uff1a\u901a\u8fc7\u66ff\u4ee3\u6a21\u578b\u8fdb\u884c\u5927\u89c4\u6a21\u4e0d\u786e\u5b9a\u6027\u91cf\u5316\u5206\u6790\uff0c\u56e0\u4e3a\u76f4\u63a5\u4f7f\u7528\u590d\u6742\u6a21\u578b\u8ba1\u7b97\u6210\u672c\u592a\u9ad8\u3002<\/li>\n\n\n\n
      • \u5b9e\u9a8c\u8bbe\u8ba1<\/strong>\uff1a\u5728\u5b9e\u9a8c\u8bbe\u8ba1\u4e2d\uff0c\u66ff\u4ee3\u6a21\u578b\u53ef\u4ee5\u7528\u6765\u9884\u6d4b\u5b9e\u9a8c\u7ed3\u679c\uff0c\u5e2e\u52a9\u4f18\u5316\u5b9e\u9a8c\u6761\u4ef6\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • \u4f18\u7f3a\u70b9<\/strong>\uff1a\n
          \n
        • \u4f18\u70b9<\/strong>\uff1a\u51cf\u5c11\u8ba1\u7b97\u6210\u672c\uff0c\u9002\u5408\u5904\u7406\u9ad8\u7ef4\u5ea6\u95ee\u9898\uff0c\u80fd\u591f\u5904\u7406\u590d\u6742\u7cfb\u7edf\u7684\u8fd1\u4f3c\u9884\u6d4b\u3002<\/li>\n\n\n\n
        • \u7f3a\u70b9<\/strong>\uff1a\u66ff\u4ee3\u6a21\u578b\u7684\u7cbe\u5ea6\u4f9d\u8d56\u4e8e\u8bad\u7ec3\u6570\u636e\uff0c\u5982\u679c\u6570\u636e\u4e0d\u8db3\u6216\u5206\u5e03\u4e0d\u5408\u7406\uff0c\u66ff\u4ee3\u6a21\u578b\u53ef\u80fd\u65e0\u6cd5\u51c6\u786e\u8fd1\u4f3c\u771f\u5b9e\u7cfb\u7edf\u3002\u6b64\u5916\uff0c\u66ff\u4ee3\u6a21\u578b\u6784\u5efa\u9700\u8981\u4e00\u5b9a\u7684\u7ecf\u9a8c\u548c\u9886\u57df\u77e5\u8bc6\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
          \u4e8c\u3001Surrogate Modelling \u7684\u6b65\u9aa4<\/h5>\n\n\n\n
            \n
          1. \u91c7\u6837<\/strong>\uff1a\u4ece\u539f\u59cb\u590d\u6742\u6a21\u578b\u4e2d\u83b7\u53d6\u6570\u636e\u70b9\u3002<\/li>\n\n\n\n
          2. \u6a21\u578b\u9009\u62e9\u4e0e\u8bad\u7ec3<\/strong>\uff1a\u9009\u62e9\u9002\u5f53\u7684\u66ff\u4ee3\u6a21\u578b\uff0c\u5e76\u4f7f\u7528\u91c7\u6837\u7684\u6570\u636e\u8fdb\u884c\u8bad\u7ec3\u3002<\/li>\n\n\n\n
          3. \u6a21\u578b\u9a8c\u8bc1<\/strong>\uff1a\u9a8c\u8bc1\u66ff\u4ee3\u6a21\u578b\u7684\u7cbe\u5ea6\uff0c\u901a\u8fc7\u4e0e\u771f\u5b9e\u6a21\u578b\u8fdb\u884c\u6bd4\u8f83\u6765\u8bc4\u4f30\u66ff\u4ee3\u6a21\u578b\u7684\u6027\u80fd\u3002<\/li>\n\n\n\n
          4. \u5e94\u7528<\/strong>\uff1a\u5728\u4f18\u5316\u3001\u9884\u6d4b\u6216\u5176\u4ed6\u5e94\u7528\u573a\u666f\u4e2d\u4f7f\u7528\u66ff\u4ee3\u6a21\u578b\u3002<\/li>\n<\/ol>\n\n\n\n
            \u4e09\u3001Surrogate Modelling\u5177\u4f53\u5de5\u7a0b\u5e94\u7528\u6848\u4f8b<\/h5>\n\n\n\n
            1. \u822a\u7a7a\u53d1\u52a8\u673a\u53f6\u7247\u4f18\u5316\u8bbe\u8ba1<\/strong><\/h6>\n\n\n\n

            \u822a\u7a7a\u53d1\u52a8\u673a\u7684\u53f6\u7247\u8bbe\u8ba1\u662f\u4e00\u4e2a\u590d\u6742\u4e14\u7cbe\u5bc6\u7684\u5de5\u7a0b\u95ee\u9898\uff0c\u6d89\u53ca\u5230\u7a7a\u6c14\u52a8\u529b\u5b66\u3001\u70ed\u529b\u5b66\u3001\u6750\u6599\u79d1\u5b66\u7b49\u591a\u4e2a\u9886\u57df\u3002\u4f20\u7edf\u4e0a\uff0c\u8bbe\u8ba1\u4eba\u5458\u4f7f\u7528\u9ad8\u4fdd\u771f\u5ea6\u7684\u8ba1\u7b97\u6d41\u4f53\u529b\u5b66\uff08CFD\uff09\u6a21\u578b\u6765\u6a21\u62df\u53f6\u7247\u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u7684\u6027\u80fd\u3002\u7136\u800c\uff0cCFD \u6a21\u578b\u8ba1\u7b97\u91cf\u5927\uff0c\u5355\u6b21\u4eff\u771f\u53ef\u80fd\u9700\u8981\u6570\u5c0f\u65f6\u751a\u81f3\u6570\u5929\u7684\u8ba1\u7b97\u65f6\u95f4\u3002<\/p>\n\n\n\n

            \u5e94\u7528 Surrogate Modelling<\/strong>\uff1a \u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5de5\u7a0b\u5e08\u53ef\u4ee5\u9996\u5148\u4f7f\u7528 CFD \u6a21\u578b\u5728\u4e0d\u540c\u7684\u8bbe\u8ba1\u53c2\u6570\u4e0b\u751f\u6210\u4e00\u7ec4\u6837\u672c\u6570\u636e\u3002\u7136\u540e\uff0c\u4f7f\u7528\u8fd9\u4e9b\u6570\u636e\u8bad\u7ec3\u4e00\u4e2a\u66ff\u4ee3\u6a21\u578b\uff08\u5982 Kriging \u6216\u5f84\u5411\u57fa\u51fd\u6570\uff09\u3002\u8fd9\u4e2a\u66ff\u4ee3\u6a21\u578b\u80fd\u591f\u5feb\u901f\u9884\u6d4b\u53f6\u7247\u5728\u4e0d\u540c\u8bbe\u8ba1\u6761\u4ef6\u4e0b\u7684\u6027\u80fd\u3002\u8bbe\u8ba1\u4f18\u5316\u7b97\u6cd5\uff08\u5982\u9057\u4f20\u7b97\u6cd5\u6216\u7c92\u5b50\u7fa4\u4f18\u5316\uff09\u53ef\u4ee5\u5229\u7528\u8fd9\u4e2a\u66ff\u4ee3\u6a21\u578b\u6765\u5feb\u901f\u63a2\u7d22\u8bbe\u8ba1\u7a7a\u95f4\uff0c\u5e76\u627e\u5230\u6700\u4f18\u7684\u53f6\u7247\u5f62\u72b6\u3002<\/p>\n\n\n\n

            \u7ed3\u679c<\/strong>\uff1a \u901a\u8fc7 Surrogate Modelling\uff0c\u8bbe\u8ba1\u8fc7\u7a0b\u4e2d\u7684\u8ba1\u7b97\u65f6\u95f4\u5927\u5927\u51cf\u5c11\uff0c\u80fd\u591f\u5728\u66f4\u77ed\u7684\u65f6\u95f4\u5185\u83b7\u5f97\u4f18\u5316\u7684\u8bbe\u8ba1\u65b9\u6848\uff0c\u540c\u65f6\u4fdd\u7559\u8f83\u9ad8\u7684\u7cbe\u5ea6\u3002<\/p>\n\n\n\n

            2. \u6c7d\u8f66\u78b0\u649e\u5b89\u5168\u6027\u4eff\u771f<\/strong><\/h6>\n\n\n\n

            \u6c7d\u8f66\u8bbe\u8ba1\u4e2d\u7684\u78b0\u649e\u5b89\u5168\u6027\u662f\u4e00\u4e2a\u81f3\u5173\u91cd\u8981\u7684\u73af\u8282\u3002\u4e3a\u4e86\u786e\u4fdd\u8f66\u8f86\u5728\u78b0\u649e\u65f6\u80fd\u591f\u6709\u6548\u4fdd\u62a4\u4e58\u5458\uff0c\u5de5\u7a0b\u5e08\u901a\u5e38\u4f7f\u7528\u6709\u9650\u5143\u5206\u6790\uff08FEA\uff09\u8fdb\u884c\u4eff\u771f\uff0c\u4ee5\u8bc4\u4f30\u8f66\u8f86\u5728\u4e0d\u540c\u78b0\u649e\u573a\u666f\u4e0b\u7684\u7ed3\u6784\u54cd\u5e94\u3002\u7136\u800c\uff0cFEA \u6a21\u578b\u7684\u8ba1\u7b97\u901a\u5e38\u975e\u5e38\u8017\u65f6\uff0c\u7279\u522b\u662f\u5728\u8fdb\u884c\u591a\u6b21\u8bbe\u8ba1\u8fed\u4ee3\u6216\u4e0d\u786e\u5b9a\u6027\u5206\u6790\u65f6\u3002<\/p>\n\n\n\n

            \u5e94\u7528 Surrogate Modelling<\/strong>\uff1a \u5728\u6b64\u5e94\u7528\u4e2d\uff0c\u5de5\u7a0b\u5e08\u53ef\u4ee5\u4f7f\u7528 Surrogate Modelling \u6765\u66ff\u4ee3\u8ba1\u7b97\u5bc6\u96c6\u7684 FEA \u4eff\u771f\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u5728\u4e0d\u540c\u7684\u6750\u6599\u7ec4\u5408\u3001\u7ed3\u6784\u8bbe\u8ba1\u53c2\u6570\u4e0b\u8fd0\u884c\u6709\u9650\u6570\u91cf\u7684 FEA \u4eff\u771f\uff0c\u5e76\u4f7f\u7528\u8fd9\u4e9b\u4eff\u771f\u7ed3\u679c\u6765\u8bad\u7ec3\u66ff\u4ee3\u6a21\u578b\uff08\u5982\u54cd\u5e94\u9762\u6a21\u578b\u6216\u795e\u7ecf\u7f51\u7edc\uff09\u3002\u66ff\u4ee3\u6a21\u578b\u53ef\u4ee5\u5feb\u901f\u9884\u6d4b\u4e0d\u540c\u8bbe\u8ba1\u53c2\u6570\u4e0b\u7684\u78b0\u649e\u54cd\u5e94\uff0c\u5e2e\u52a9\u5de5\u7a0b\u5e08\u5feb\u901f\u8bc4\u4f30\u5404\u79cd\u8bbe\u8ba1\u65b9\u6848\u7684\u5b89\u5168\u6027\u3002<\/p>\n\n\n\n

            \u7ed3\u679c<\/strong>\uff1a \u4f7f\u7528 Surrogate Modelling\uff0c\u5de5\u7a0b\u5e08\u80fd\u591f\u5728\u5927\u5e45\u51cf\u5c11\u4eff\u771f\u65f6\u95f4\u7684\u540c\u65f6\uff0c\u5feb\u901f\u4f18\u5316\u8f66\u4f53\u8bbe\u8ba1\uff0c\u4ee5\u6ee1\u8db3\u4e25\u683c\u7684\u5b89\u5168\u6807\u51c6\u3002\u8fd9\u4e0d\u4ec5\u52a0\u901f\u4e86\u8bbe\u8ba1\u5468\u671f\uff0c\u8fd8\u964d\u4f4e\u4e86\u5f00\u53d1\u6210\u672c\u3002<\/p>\n\n\n\n

            3. \u706b\u7bad\u53d1\u52a8\u673a\u8bbe\u8ba1\u4f18\u5316<\/strong><\/h6>\n\n\n\n

            NASA \u5728\u5f00\u53d1\u706b\u7bad\u53d1\u52a8\u673a\u65f6\uff0c\u9700\u8981\u786e\u4fdd\u8bbe\u8ba1\u5728\u6781\u7aef\u6761\u4ef6\u4e0b\u5177\u6709\u9ad8\u53ef\u9760\u6027\u548c\u6027\u80fd\u3002\u706b\u7bad\u53d1\u52a8\u673a\u7684\u4eff\u771f\u6d89\u53ca\u5230\u591a\u7269\u7406\u573a\u7684\u8026\u5408\uff08\u5982\u6d41\u4f53\u529b\u5b66\u3001\u70ed\u529b\u5b66\u548c\u7ed3\u6784\u529b\u5b66\uff09\uff0c\u8fd9\u4e9b\u4eff\u771f\u8ba1\u7b97\u901a\u5e38\u975e\u5e38\u8017\u65f6\u3002\u4e3a\u4e86\u5728\u53ef\u63a5\u53d7\u7684\u65f6\u95f4\u8303\u56f4\u5185\u63a2\u7d22\u5927\u91cf\u7684\u8bbe\u8ba1\u53c2\u6570\uff0cNASA \u4f7f\u7528 Surrogate Modelling \u6765\u66ff\u4ee3\u590d\u6742\u7684\u4eff\u771f\u6a21\u578b\u3002<\/p>\n\n\n\n

            \u5177\u4f53\u5e94\u7528<\/strong>\uff1a \u901a\u8fc7 CFD \u6a21\u578b\u751f\u6210\u4e00\u5b9a\u6570\u91cf\u7684\u6837\u672c\u6570\u636e\uff0c\u7136\u540e\u8bad\u7ec3 Surrogate \u6a21\u578b\uff08\u5982\u9ad8\u65af\u8fc7\u7a0b\u6216\u591a\u9879\u5f0f\u54cd\u5e94\u9762\uff09\u3002\u8fd9\u4e9b\u66ff\u4ee3\u6a21\u578b\u80fd\u591f\u5feb\u901f\u9884\u6d4b\u53d1\u52a8\u673a\u5728\u4e0d\u540c\u8bbe\u8ba1\u6761\u4ef6\u4e0b\u7684\u6027\u80fd\uff0c\u5e2e\u52a9\u5de5\u7a0b\u5e08\u8fdb\u884c\u8bbe\u8ba1\u4f18\u5316\u3002<\/p>\n\n\n\n

            \u6210\u6548<\/strong>\uff1a \u8fd9\u79cd\u65b9\u6cd5\u663e\u8457\u51cf\u5c11\u4e86\u8ba1\u7b97\u65f6\u95f4\uff0c\u5e76\u4e14\u4f7f\u8bbe\u8ba1\u4f18\u5316\u8fc7\u7a0b\u66f4\u52a0\u9ad8\u6548\uff0c\u6700\u7ec8\u63d0\u9ad8\u4e86\u706b\u7bad\u53d1\u52a8\u673a\u7684\u6027\u80fd\u548c\u53ef\u9760\u6027\u3002<\/p>\n\n\n\n

            4. \u822a\u5929\u5668\u7684\u518d\u5165\u70ed\u9632\u62a4\u7cfb\u7edf\u8bbe\u8ba1<\/strong><\/h6>\n\n\n\n

            \u822a\u5929\u5668\u5728\u8fd4\u56de\u5730\u7403\u65f6\uff0c\u5fc5\u987b\u901a\u8fc7\u5927\u6c14\u5c42\u3002\u8fd9\u4e00\u8fc7\u7a0b\u4f1a\u4ea7\u751f\u6781\u9ad8\u7684\u6e29\u5ea6\uff0c\u9700\u8981\u4e00\u4e2a\u6709\u6548\u7684\u70ed\u9632\u62a4\u7cfb\u7edf\uff08TPS\uff09\u6765\u4fdd\u62a4\u822a\u5929\u5668\u3002\u8bbe\u8ba1\u5408\u9002\u7684 TPS \u662f\u4e00\u4e2a\u590d\u6742\u7684\u4efb\u52a1\uff0c\u6d89\u53ca\u5230\u590d\u6742\u7684\u70ed\u529b\u5b66\u548c\u6750\u6599\u79d1\u5b66\u3002\u4f20\u7edf\u4e0a\uff0c\u8fd9\u79cd\u8bbe\u8ba1\u9700\u8981\u901a\u8fc7\u8017\u65f6\u7684\u6570\u503c\u6a21\u62df\u548c\u7269\u7406\u5b9e\u9a8c\u6765\u5b8c\u6210\u3002<\/p>\n\n\n\n

            \u5177\u4f53\u5e94\u7528<\/strong>\uff1a NASA \u4f7f\u7528 Surrogate Modelling \u6765\u4f18\u5316 TPS \u7684\u8bbe\u8ba1\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u6570\u503c\u6a21\u62df\u751f\u6210\u518d\u5165\u65f6\u7684\u70ed\u73af\u5883\u6570\u636e\uff0c\u5e76\u4f7f\u7528\u8fd9\u4e9b\u6570\u636e\u8bad\u7ec3 Surrogate \u6a21\u578b\u3002\u8fd9\u4e9b\u6a21\u578b\u7528\u4e8e\u5feb\u901f\u9884\u6d4b\u4e0d\u540c TPS \u6750\u6599\u548c\u8bbe\u8ba1\u65b9\u6848\u4e0b\u7684\u70ed\u54cd\u5e94\u3002<\/p>\n\n\n\n

            \u6210\u6548<\/strong>\uff1a \u901a\u8fc7\u5e94\u7528 Surrogate Modelling\uff0cNASA \u80fd\u591f\u66f4\u9ad8\u6548\u5730\u63a2\u7d22\u5404\u79cd TPS \u8bbe\u8ba1\u65b9\u6848\uff0c\u786e\u4fdd\u5728\u6781\u7aef\u6761\u4ef6\u4e0b\u7684\u822a\u5929\u5668\u5b89\u5168\u6027\uff0c\u540c\u65f6\u51cf\u5c11\u5f00\u53d1\u65f6\u95f4\u548c\u6210\u672c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

            Surrogate Modelling\uff08\u66ff\u4ee3\u5efa\u6a21\uff09\u662f\u4e00\u79cd\u4f7f\u7528\u7b80\u5355\u3001\u8ba1\u7b97\u6548\u7387\u9ad8\u7684\u6a21\u578b\u6765\u8fd1\u4f3c\u590d\u6742\u3001\u8ba1\u7b97\u6602\u8d35\u7684\u771f\u5b9e\u7cfb 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