{"id":5997,"date":"2025-06-25T19:06:49","date_gmt":"2025-06-25T11:06:49","guid":{"rendered":"https:\/\/nullthought.net\/?p=5997"},"modified":"2025-08-06T11:51:47","modified_gmt":"2025-08-06T03:51:47","slug":"%e5%9f%ba%e4%ba%8e%e6%95%b0%e5%ad%97%e5%ad%aa%e7%94%9f%e5%92%8cpinns-e-rgcn%e7%9a%84%e7%94%b5%e6%a2%af%e6%95%85%e9%9a%9c%e8%af%8a%e6%96%ad","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=5997","title":{"rendered":"\u57fa\u4e8e\u6570\u5b57\u5b6a\u751f\u548cPINNs-e-RGCN\u7684\u7535\u68af\u6545\u969c\u8bca\u65ad"},"content":{"rendered":"\n<p>\u8bba\u6587<strong><a href=\"https:\/\/www.nature.com\/articles\/s41598-024-78784-7\" target=\"_blank\" rel=\"noreferrer noopener\">Elevator fault diagnosis based on digital twin and PINNs-e-RGCN<\/a><\/strong>\u5efa\u7acb\u4e86\u4e00\u4e2a\u5177\u6709\u4e09\u81ea\u7531\u5ea6\u7684\u7535\u68af\u5782\u76f4\u632f\u52a8\u6570\u503c\u6a21\u578b\uff0c\u5e76\u5c06\u6240\u5f97\u7684\u8fd0\u52a8\u65b9\u7a0b\u4f5c\u4e3a\u7ea6\u675f\u6761\u4ef6\uff0c\u5229\u7528\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc\uff08PINNs\uff09\u751f\u6210\u6a21\u62df\u632f\u52a8\u6570\u636e\u3002\u968f\u540e\uff0c\u672c\u6587\u63d0\u51fa\u7684e-RGCN\u6a21\u578b\u88ab\u7528\u4e8e\u7535\u68af\u6545\u969c\u8bca\u65ad\u3002\u6700\u7ec8\uff0c\u901a\u8fc7\u5b9e\u9a8c\u9a8c\u8bc1\u8868\u660e\uff0c\u5728\u5f15\u5165\u6570\u5b57\u5b6a\u751f\u6280\u672f\u7684\u60c5\u51b5\u4e0b\uff0c\u6545\u969c\u8bca\u65ad\u51c6\u786e\u7387\u8d85\u8fc7\u4e8690%\uff0c\u800c\u6240\u63d0\u51fa\u6a21\u578b\u7684\u51c6\u786e\u7387\u8fbe\u5230\u4e86 96.61%\uff0c\u663e\u8457\u9ad8\u4e8e\u5176\u4ed6\u5bf9\u6bd4\u6a21\u578b\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u4f5c\u8005\u4e3aQibing Wang, Luqiang Chen, Gang Xiao, Peng Wang, Yuejiang Gu &amp; Jiawei Lu\uff0c\u6765\u81eaChina Jiliang University\uff08\u4e2d\u56fd\u8ba1\u91cf\u5927\u5b66\uff09\u3001Shanghai<br>STEP Electric Corporation\u548cGeneral Elevator Co., Ltd.\u3002<\/p>\n\n\n\n<p>\u4e00\u3001\u7814\u7a76\u80cc\u666f\u4e0e\u95ee\u9898\u9648\u8ff0<\/p>\n\n\n\n<p>\u968f\u7740\u5168\u7403\u57ce\u5e02\u5316\u7684\u8fc5\u901f\u63a8\u8fdb\uff0c\u5168\u7403\u8d85\u8fc755%\u7684\u4eba\u53e3\u5df2\u5c45\u4f4f\u4e8e\u57ce\u5e02\u533a\u57df\uff0c\u57ce\u5e02\u5efa\u8bbe\u7684\u5782\u76f4\u5316\u5e26\u6765\u4e86\u7535\u68af\u4f7f\u7528\u91cf\u7684\u5927\u5e45\u589e\u957f\u3002\u8fd9\u4e9b\u7535\u68af\u5e7f\u6cdb\u5206\u5e03\u4e8e\u529e\u516c\u697c\u3001\u4f4f\u5b85\u697c\u3001\u5730\u94c1\u7ad9\u3001\u5546\u573a\u7b49\u5404\u7c7b\u9ad8\u5c42\u5efa\u7b51\u4e2d\u3002\u7535\u68af\u4f5c\u4e3a\u590d\u6742\u7684\u673a\u7535\u4e00\u4f53\u5316\u7cfb\u7edf\uff0c\u957f\u65f6\u95f4\u8fd0\u884c\u8fc7\u7a0b\u4e2d\u6781\u6613\u51fa\u73b0\u673a\u68b0\u78e8\u635f\u3001\u63a7\u5236\u5f02\u5e38\u3001\u73af\u5883\u5e72\u6270\u7b49\u95ee\u9898\uff0c\u5bfc\u81f4\u6545\u969c\u9891\u53d1\uff0c\u4e25\u91cd\u5a01\u80c1\u4e58\u5ba2\u5b89\u5168\u3002<\/p>\n\n\n\n<p>\u4e3a\u6b64\uff0c\u591a\u4e2a\u5730\u533a\u5efa\u7acb\u4e86\u7535\u68af\u5e94\u6025\u54cd\u5e94\u5e73\u53f0\uff0c\u901a\u8fc7\u70ed\u7ebf\u7535\u8bdd\u3001\u8c03\u5ea6\u7cfb\u7edf\u3001\u4e13\u4e1a\u62a2\u4fee\u961f\u4f0d\u7b49\u65b9\u5f0f\uff0c\u63d0\u5347\u6545\u969c\u54cd\u5e94\u901f\u5ea6\u548c\u7ba1\u7406\u6548\u7387\u3002\u7136\u800c\uff0c\u7535\u68af\u4fdd\u6709\u91cf\u4e0e\u7ef4\u62a4\u529b\u91cf\u4e4b\u95f4\u5b58\u5728\u4e25\u91cd\u4e0d\u5bf9\u79f0\uff0c\u4eba\u5de5\u5de1\u68c0\u8986\u76d6\u9762\u548c\u53ca\u65f6\u6027\u4e0d\u8db3\uff0c\u5c24\u5176\u662f\u5728\u8001\u65e7\u7535\u68af\u8bbe\u5907\u4e2d\uff0c\u632f\u52a8\u5f02\u5e38\u95ee\u9898\u9891\u7e41\u51fa\u73b0\uff0c\u5982\u8f7f\u53a2\u8df3\u52a8\u3001\u542f\u52a8\u9707\u98a4\u3001\u6025\u505c\u6296\u52a8\u7b49\uff0c\u4f20\u7edf\u4f9d\u8d56\u4eba\u5de5\u7ecf\u9a8c\u548c\u73b0\u573a\u68c0\u4fee\u7684\u65b9\u5f0f\u5df2\u65e0\u6cd5\u6ee1\u8db3\u667a\u80fd\u5316\u7535\u68af\u7ba1\u7406\u7684\u9700\u6c42\u3002<\/p>\n\n\n\n<p>\u5c3d\u7ba1\u8fd1\u5e74\u6765\u9488\u5bf9\u7535\u68af\u6545\u969c\u8bca\u65ad\u7684\u7814\u7a76\u4e0d\u65ad\u63a8\u8fdb\uff0c\u4f46\u7edd\u5927\u591a\u6570\u65b9\u6cd5\u90fd\u4e25\u91cd\u4f9d\u8d56\u5927\u91cf\u6545\u969c\u6570\u636e\uff0c\u7136\u800c\u7535\u68af\u6545\u969c\u6570\u636e\u672c\u8eab\u5177\u6709\u7a00\u7f3a\u6027\u3001\u4e0d\u5e73\u8861\u6027\u548c\u4e0d\u53ef\u63a7\u6027\u3002\u56e0\u6b64\uff0c\u63d0\u5347\u6570\u636e\u5229\u7528\u6548\u7387\u3001\u589e\u5f3a\u6a21\u578b\u6cdb\u5316\u80fd\u529b\u6210\u4e3a\u7814\u7a76\u7684\u5173\u952e\u76ee\u6807\u3002<\/p>\n\n\n\n<p>\u8be5\u8bba\u6587\u5f15\u5165<strong><a href=\"https:\/\/nullthought.net\/?p=5429\" target=\"_blank\" rel=\"noreferrer noopener\">\u6570\u5b57\u5b6a\u751f\uff08Digital Twin\uff09<\/a><\/strong>\u6280\u672f\uff0c\u7ed3\u5408<strong><a href=\"https:\/\/nullthought.net\/?p=4287\" target=\"_blank\" rel=\"noreferrer noopener\">\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edc\uff08Physics-Informed Neural Networks, PINNs\uff09<\/a><\/strong>\u548c\u6539\u8fdb\u578b\u56fe\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\uff08epsilon Recurrent Graph Convolutional Network, e-RGCN\uff09\uff0c\u6784\u5efa\u4e00\u4e2a\u53ef\u89c6\u5316\u3001\u5b9e\u65f6\u3001\u9ad8\u7cbe\u5ea6\u7684\u7535\u68af\u6545\u969c\u8bca\u65ad\u7cfb\u7edf\u3002\u8be5\u7cfb\u7edf\u80fd\u591f\u878d\u5408\u7269\u7406\u5efa\u6a21\u4e0e\u6df1\u5ea6\u5b66\u4e60\uff0c\u5b9e\u73b0\u7269\u7406-\u865a\u62df\u7a7a\u95f4\u7684\u6570\u636e\u540c\u6b65\u4e0e\u4e92\u8054\uff0c\u5728\u5c0f\u6837\u672c\u6761\u4ef6\u4e0b\u4f9d\u7136\u80fd\u5b9e\u73b0\u9c81\u68d2\u7684\u6545\u969c\u8bc6\u522b\uff0c\u7279\u522b\u9002\u7528\u4e8e\u6570\u636e\u53d7\u9650\u73af\u5883\u4e0b\u7684\u667a\u80fd\u7535\u68af\u7ef4\u62a4\u573a\u666f\u3002<\/p>\n\n\n\n<p>\u4e8c\u3001\u6570\u5b57\u5b6a\u751f\u4e0ePINNs\u7684\u7406\u8bba\u57fa\u7840<\/p>\n\n\n\n<p>\u6570\u5b57\u5b6a\u751f\u6280\u672f\u662f\u4e00\u79cd\u901a\u8fc7\u5efa\u7acb\u865a\u62df\u6a21\u578b\u6765\u52a8\u6001\u6620\u5c04\u3001\u76d1\u63a7\u3001\u9884\u6d4b\u5b9e\u4f53\u8bbe\u5907\u8fd0\u884c\u72b6\u6001\u7684\u6280\u672f\u6846\u67b6\u3002\u5b83\u5f3a\u8c03\u7269\u7406\u7a7a\u95f4\uff08PS\uff09\u3001\u865a\u62df\u7a7a\u95f4\uff08VS\uff09\u3001\u4ea4\u4e92\u7a7a\u95f4\uff08IS\uff09\u3001\u670d\u52a1\u7a7a\u95f4\uff08SS\uff09\u4e4b\u95f4\u7684\u7d27\u5bc6\u8026\u5408\u4e0e\u6570\u636e\u53cd\u9988\u95ed\u73af\u3002\u7535\u68af\u4f5c\u4e3a\u9ad8\u5ea6\u673a\u68b0\u5316\u4e0e\u63a7\u5236\u903b\u8f91\u590d\u6742\u7684\u7cfb\u7edf\uff0c\u6781\u5177\u6784\u5efa\u6570\u5b57\u5b6a\u751f\u6a21\u578b\u7684\u4ef7\u503c\u3002<\/p>\n\n\n\n<p>\u672c\u7814\u7a76\u6240\u63d0\u51fa\u7684\u6570\u5b57\u5b6a\u751f\u7cfb\u7edf\u6a21\u578b\u4e3a\u56db\u7ef4\u7ed3\u6784\uff0c\u5176\u7ec4\u6210\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7269\u7406\u7a7a\u95f4PS\u5305\u62ec\u771f\u5b9e\u7535\u68af\u7cfb\u7edf\u672c\u4f53\uff08\u8f7f\u53a2\u3001\u66f3\u5f15\u673a\u3001\u5bfc\u8f68\u3001\u4f20\u611f\u5668\u7b49\uff09\uff0c\u8d1f\u8d23\u751f\u6210\u8fd0\u884c\u6570\u636e\u3002<\/li>\n\n\n\n<li>\u865a\u62df\u7a7a\u95f4VS\u57fa\u4e8ePS\u6784\u5efa\u6570\u5b57\u6a21\u578b\uff0c\u901a\u8fc7SolidWorks\u30013DMax\u3001Unity3D\u7b49\u5de5\u5177\u5efa\u6a21\uff0c\u5b9e\u65f6\u6620\u5c04\u8bbe\u5907\u72b6\u6001\u3002<\/li>\n\n\n\n<li>\u4ea4\u4e92\u7a7a\u95f4IS\u8fde\u63a5PS\u548cVS\uff0c\u5b9e\u73b0\u6570\u636e\u53cc\u5411\u6d41\u52a8\u4e0e\u4fe1\u606f\u66f4\u65b0\uff0c\u5305\u542b\u6d4b\u91cf\u6570\u636e\uff08\u52a0\u901f\u5ea6\u3001\u51e0\u4f55\u7279\u5f81\uff09\u3001CAD\u6a21\u578b\u6570\u636e\u3001\u7b97\u6cd5\u63a8\u5bfc\u7ed3\u679c\u7b49\u3002<\/li>\n\n\n\n<li>\u670d\u52a1\u7a7a\u95f4SS\u63d0\u4f9b\u53ef\u89c6\u5316\u754c\u9762\u3001\u6545\u969c\u9884\u8b66\u3001\u8fd0\u884c\u72b6\u6001\u5206\u6790\u3001\u4eff\u771f\u6570\u636e\u751f\u6210\u7b49\u667a\u80fd\u670d\u52a1\u3002<\/li>\n<\/ul>\n\n\n\n<p>PINNs\u662f\u5728\u4f20\u7edf\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff08ANN\uff09\u57fa\u7840\u4e0a\u5f15\u5165\u7269\u7406\u5148\u9a8c\u77e5\u8bc6\u7684\u4e00\u79cd\u5efa\u6a21\u65b9\u5f0f\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5c06\u7cfb\u7edf\u6240\u9075\u5faa\u7684\u7269\u7406\u5b9a\u5f8b\uff08\u5982\u5fae\u5206\u65b9\u7a0b\u3001\u521d\u59cb\/\u8fb9\u754c\u6761\u4ef6\uff09\u4f5c\u4e3a\u635f\u5931\u51fd\u6570\u7684\u4e00\u90e8\u5206\uff0c\u4f7f\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u51fa\u4e0d\u4ec5\u7b26\u5408\u8bad\u7ec3\u6570\u636e\uff0c\u4e5f\u7b26\u5408\u771f\u5b9e\u7269\u7406\u89c4\u5f8b\uff0c\u4ece\u800c\u63d0\u9ad8\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\u4e0e\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n\n\n\n<p>PINNs\u7ed3\u6784\u4e3b\u8981\u7531\u4e09\u90e8\u5206\u7ec4\u6210\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u795e\u7ecf\u7f51\u7edc\u5c42\uff08NN Layer\uff09\uff1a\u5305\u62ec\u8f93\u5165\u5c42\u3001\u9690\u85cf\u5c42\u3001\u8f93\u51fa\u5c42\uff0c\u63a5\u53d7\u7269\u7406\u53c2\u6570\u4e0e\u89c2\u6d4b\u503c\uff1b<\/li>\n\n\n\n<li>\u7269\u7406\u4fe1\u606f\u5c42\uff08Physics Layer\uff09\uff1a\u8d1f\u8d23\u5c06\u5fae\u5206\u65b9\u7a0b\uff08ODE\/PDE\uff09\u3001\u521d\u59cb\u6761\u4ef6\u3001\u8fb9\u754c\u6761\u4ef6\u5d4c\u5165\u7f51\u7edc\uff1b<\/li>\n\n\n\n<li>\u590d\u5408\u635f\u5931\u51fd\u6570\uff1a\u7531\u6570\u636e\u8bef\u5dee\u9879\u4e0e\u7269\u7406\u6b8b\u5dee\u9879\u6784\u6210\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u4e0e\u4f20\u7edf\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\u76f8\u6bd4\uff0cPINNs\u80fd\u7f13\u89e3\u8fc7\u62df\u5408\u95ee\u9898\uff0c\u5728\u6570\u636e\u7a00\u758f\u3001\u7f3a\u5931\u60c5\u51b5\u4e0b\u4ecd\u80fd\u8f93\u51fa\u7269\u7406\u5408\u7406\u89e3\uff0c\u5e7f\u6cdb\u7528\u4e8e\u6d41\u4f53\u529b\u5b66\u3001\u56fa\u4f53\u529b\u5b66\u7b49\u9886\u57df\u3002<\/p>\n\n\n\n<p>\u4e09\u3001\u7535\u68af\u4e09\u81ea\u7531\u5ea6\u5782\u5411\u632f\u52a8\u5efa\u6a21<\/p>\n\n\n\n<p>\u4e3a\u4e86\u6784\u5efa\u771f\u5b9e\u7684\u6545\u969c\u4eff\u771f\u6570\u636e\u6765\u6e90\uff0c\u8bba\u6587\u4ee51:1\u7275\u5f15\u7535\u68af\u4e3a\u5bf9\u8c61\uff0c\u5efa\u7acb\u4e86\u4e00\u4e2a\u4e09\u81ea\u7531\u5ea6\u5782\u76f4\u632f\u52a8\u52a8\u529b\u5b66\u6a21\u578b\u3002\u6a21\u578b\u4e2d\u5305\u62ec\u8f7f\u53a2\u3001\u5bf9\u91cd\u3001\u66f3\u5f15\u8f6e\u4e09\u90e8\u5206\uff0c\u5047\u8bbe\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7ef3\u7d22\u5f20\u529b\u6052\u5b9a\uff0c\u53d8\u5f62\u670d\u4ece\u80e1\u514b\u5b9a\u5f8b\uff1b<\/li>\n\n\n\n<li>\u7ef3\u7d22\u6574\u4f53\u5f39\u6027\u6a21\u91cf\u4e0d\u53d8\uff1b<\/li>\n\n\n\n<li>\u5ffd\u7565\u7ef3\u7d22\u4e0e\u66f3\u5f15\u8f6e\u4e4b\u95f4\u7684\u5f39\u6027\u4e0e\u6469\u64e6\uff1b<\/li>\n\n\n\n<li>\u4e0d\u8003\u8651\u8865\u507f\u7ef3\uff1b<\/li>\n\n\n\n<li>\u5404\u90e8\u4ef6\u89c6\u4f5c\u7406\u60f3\u521a\u4f53\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u901a\u8fc7\u62c9\u683c\u6717\u65e5\u6cd5\u5efa\u7acb\u7cfb\u7edf\u52a8\u80fd\u3001\u52bf\u80fd\u3001\u8017\u6563\u51fd\u6570\uff0c\u5f97\u5230\u7cfb\u7edf\u7684\u8fd0\u52a8\u5fae\u5206\u65b9\u7a0b\u7ec4\u3002\u4e09\u81ea\u7531\u5ea6\u7cfb\u7edf\u7684\u5e7f\u4e49\u5750\u6807\u5206\u522b\u4e3a\u8f7f\u53a2\u4f4d\u79fbx\u2081\u3001\u5bf9\u91cd\u4f4d\u79fbx\u2082\u3001\u66f3\u5f15\u8f6e\u8f6c\u89d2x\u2083\u3002\u6700\u7ec8\u6a21\u578b\u8f6c\u5316\u4e3a\u77e9\u9635\u5f62\u5f0f\uff1a<br>M\u2022x\u00a8+C\u2022x\u02d9+K\u2022x=F<br>\u5176\u4e2dM\u4e3a\u8d28\u91cf\u77e9\u9635\uff0cC\u4e3a\u963b\u5c3c\u77e9\u9635\uff0cK\u4e3a\u521a\u5ea6\u77e9\u9635\uff0cF\u4e3a\u5916\u90e8\u6fc0\u52b1\u529b\u3002x\u00a8, x\u02d9, x\u5206\u522b\u4e3a\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u548c\u8ddd\u79bb\u3002\u6b64\u8fd0\u52a8\u65b9\u7a0b\u7ec4\u4e3a\u540e\u7eedPINNs\u4e2d\u7269\u7406\u6b8b\u5dee\u8ba1\u7b97\u7684\u57fa\u7840\u3002<\/p>\n\n\n\n<p>\u56db\u3001\u6539\u8fdb\u7684PINNs\u8bbe\u8ba1<\/p>\n\n\n\n<p>PINNs\u90e8\u5206\u7528\u4e8e\u6839\u636e\u5c11\u91cf\u5b9e\u6d4b\u6570\u636e\u7ed3\u5408\u52a8\u529b\u5b66\u65b9\u7a0b\u751f\u6210\u4eff\u771f\u632f\u52a8\u6570\u636e\uff0c\u63d0\u5347\u6837\u672c\u8986\u76d6\u9762\u4e0e\u8bad\u7ec3\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<p>\u4e3a\u589e\u5f3a\u5176\u5bf9\u590d\u6742\u7535\u68af\u632f\u52a8\u7cfb\u7edf\u7684\u5efa\u6a21\u80fd\u529b\uff0c\u672c\u6587\u5f15\u5165\u4e09\u9879\u6539\u8fdb\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5f15\u5165\u03bb\u8c03\u8282\u56e0\u5b50\u63a7\u5236\u7269\u7406\u6b8b\u5dee\u5728\u603b\u635f\u5931\u4e2d\u7684\u5360\u6bd4\uff0c\u5b9e\u73b0\u7269\u7406\u5148\u9a8c\u4e0e\u6570\u636e\u8bef\u5dee\u7684\u52a8\u6001\u5e73\u8861\uff1b<\/li>\n\n\n\n<li>\u63d0\u51fa\u518d\u6fc0\u6d3b\u4f18\u5316\u7b97\u6cd5\uff08Reactivation Optimization\uff09\uff0c\u5728\u6536\u655b\u521d\u671f\u653e\u5bbd\u6b65\u957f\u641c\u7d22\u6761\u4ef6\uff0c\u907f\u514d\u9677\u5165\u5c40\u90e8\u6700\u4f18\uff1b<\/li>\n\n\n\n<li>\u4f7f\u7528\u6b63\u5f26\u51fd\u6570\u4f5c\u4e3a\u6fc0\u6d3b\u51fd\u6570\uff0c\u66ff\u4ee3\u5e38\u89c1\u7684tanh\uff0c\u4ee5\u66f4\u597d\u5730\u62df\u5408\u5468\u671f\u6027\u632f\u52a8\u54cd\u5e94\uff08\u7b26\u5408\u5085\u91cc\u53f6\u7279\u6027\uff09\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u635f\u5931\u51fd\u6570\u5305\u542b\u4ee5\u4e0b\u5b50\u9879\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7f51\u7edc\u8bef\u5dee\u635f\u5931loss<sub>nn<\/sub>\uff1a\u9884\u6d4b\u503c\u4e0e\u771f\u5b9e\u503c\u5dee\u5f02\uff1b<\/li>\n\n\n\n<li>\u521d\u59cb\u6761\u4ef6\u635f\u5931loss<sub>b<\/sub>\uff1b<\/li>\n\n\n\n<li>\u8fb9\u754c\u6761\u4ef6\u635f\u5931loss<sub>r<\/sub>\uff1b<\/li>\n\n\n\n<li>\u5fae\u5206\u65b9\u7a0b\u6b8b\u5deeloss<sub>d<\/sub>\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6700\u7ec8\u603b\u635f\u5931\u51fd\u6570\u5f62\u5f0f\u4e3a\uff1a<br>Loss=loss<sub>nn<\/sub>+\u03bb(loss<sub>d<\/sub>+loss<sub>b<\/sub>+loss<sub>r<\/sub>)<\/p>\n\n\n\n<p>\u4e94\u3001e-RGCN\u8bbe\u8ba1\u4e0e\u56fe\u6784\u5efa\u65b9\u6cd5<\/p>\n\n\n\n<p>e-RGCN\u878d\u5408\u4e86\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff09\u4e0e\u56fe\u5377\u79ef\u7f51\u7edc\uff08GCN\uff09\uff0c\u7528\u4e8e\u57fa\u4e8e\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u8fdb\u884c\u6545\u969c\u8bc6\u522b\u3002\u901a\u8fc7\u201c\u9012\u5f52\u56fe\u201d\u601d\u60f3\u5c06\u7535\u68af\u632f\u52a8\u65f6\u5e8f\u4fe1\u53f7\u8f6c\u5316\u4e3a\u56fe\u7ed3\u6784\uff0c\u8282\u70b9\u4e4b\u95f4\u7684\u8fb9\u57fa\u4e8e\u8ddd\u79bb\u9608\u503c\u03f5\u6784\u5efa\uff1a\u82e5\u4e24\u4e2a\u6837\u672c\u4e4b\u95f4\u7684\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u5c0f\u4e8e\u03f5\uff0c\u5219\u8ba4\u4e3a\u5176\u76f8\u4e92\u5173\u8054\u3002<\/p>\n\n\n\n<p>\u90bb\u63a5\u77e9\u9635A\u7531\u9012\u5f52\u77e9\u9635R\u53bb\u9664\u5bf9\u89d2\u9879\u5f97\u5230\u3002GCN\u4e24\u5c42\u7f51\u7edc\u540e\u63a5\u4e00\u5168\u8fde\u63a5\u5c42\uff0c\u5e76\u91c7\u7528DropEdge\u7b56\u7565\u968f\u673a\u53bb\u9664\u90e8\u5206\u56fe\u8fb9\uff0c\u63d0\u5347\u6a21\u578b\u6cdb\u5316\u80fd\u529b\uff0c\u907f\u514d\u8fc7\u62df\u5408\u3002<\/p>\n\n\n\n<p>\u516d\u3001\u5b9e\u9a8c\u5e73\u53f0\u4e0e\u6570\u636e\u91c7\u96c6\u65b9\u6cd5<\/p>\n\n\n\n<p>\u5e73\u53f0\u786c\u4ef6\u57fa\u4e8e\u771f\u5b9e\u6559\u5b66\u697c\u516d\u5c42\u7535\u68af\uff0c\u5305\u62ec\u8f7f\u53a2\u3001\u5bf9\u91cd\u3001\u95e8\u673a\u3001\u66f3\u5f15\u673a\u7b49\u5b9e\u4f53\u8bbe\u5907\u3002\u4f20\u611f\u5668\u5b89\u88c5\u4e8e\u8f7f\u53a2\u9876\u90e8\uff0c\u91c7\u6837\u9891\u738750Hz\u3002\u7cfb\u7edf\u91c7\u7528Modbus RTU + RS485\u901a\u4fe1\u534f\u8bae\uff0c\u901a\u8fc7\u8fb9\u7f18\u7f51\u5173\u4e0a\u4f20\u81f3\u670d\u52a1\u5668\uff0cUnity3D\u5e73\u53f0\u5b8c\u6210\u6570\u636e\u5c55\u793a\u4e0e\u7528\u6237\u4ea4\u4e92\u3002<\/p>\n\n\n\n<p>\u6570\u636e\u96c6\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6b63\u5e38\u632f\u52a8\u6570\u636e\uff1b<\/li>\n\n\n\n<li>\u4e09\u7c7b\u6545\u969c\u6570\u636e\uff1a\u8df3\u52a8\uff08Jump\uff09\u3001\u8d77\u505c\u632f\u52a8\uff08Start-stop\uff09\u3001\u6025\u5267\u632f\u52a8\uff08Acuteness\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6bcf\u7c7b40\u7ec4\u6837\u672c\uff0c\u8f93\u5165\u7ef4\u5ea6300\uff0c\u603b\u8ba1160\u7ec4\u6570\u636e\uff0c\u8bad\u7ec3\u96c6\u4e0e\u6d4b\u8bd5\u96c6\u63093:1\u6bd4\u4f8b\u5212\u5206\u3002<\/p>\n\n\n\n<p>\u4e03\u3001\u4eff\u771f\u9a8c\u8bc1\u4e0e\u6a21\u578b\u8bc4\u4f30<\/p>\n\n\n\n<p>\u901a\u8fc7PINNs\u9006\u6c42\u7535\u68af\u7cfb\u7edf\u5728\u4e0d\u540c\u6545\u969c\u53c2\u6570\u4e0b\u7684\u632f\u52a8\u54cd\u5e94\uff0c\u751f\u6210\u4eff\u771f\u6570\u636e\uff0c\u4e0e\u5b9e\u6d4b\u6570\u636e\u5bf9\u6bd4\uff0c\u9a8c\u8bc1\u4eff\u771f\u6a21\u578b\u80fd\u6355\u6349\u6545\u969c\u6a21\u5f0f\u7279\u5f81\u3002<\/p>\n\n\n\n<p>\u4f7f\u7528t-SNE\u964d\u7ef4\u53ef\u89c6\u5316\u5c55\u793a\u5b9e\u6d4b\u4e0e\u6a21\u62df\u6570\u636e\u6df7\u5408\u6548\u679c\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5168\u5b9e\u6d4b\u6570\u636e\u8bad\u7ec3\u5206\u7c7b\u6548\u679c\u6700\u4f73\uff1b<\/li>\n\n\n\n<li>\u5b9e\u6d4b+\u4eff\u771f\u6570\u636e\uff081:1\u30011:3\uff09\u7ec4\u5408\u4ea6\u8868\u73b0\u826f\u597d\uff1b<\/li>\n\n\n\n<li>\u5168\u4eff\u771f\u6570\u636e\u8bad\u7ec3\u4e0b\u5206\u7c7b\u80fd\u529b\u660e\u663e\u4e0b\u964d\uff0c\u8bf4\u660e\u4eff\u771f\u6570\u636e\u867d\u8fd1\u4f3c\u4f46\u65e0\u6cd5\u5b8c\u5168\u66ff\u4ee3\u5b9e\u6d4b\u6570\u636e\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u5bf9\u03bb\u503c\u5f71\u54cd\u8fdb\u884c\u654f\u611f\u6027\u5206\u6790\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03bb = 0\u65f6\u5373\u9000\u5316\u4e3aANN\uff0c\u957f\u671f\u9884\u6d4b\u8bef\u5dee\u8fc5\u901f\u7d2f\u79ef\uff1b<\/li>\n\n\n\n<li>\u03bb = 1~8\u65f6\u9884\u6d4b\u66f2\u7ebf\u62df\u5408\u6027\u589e\u5f3a\uff1b<\/li>\n\n\n\n<li>\u8fc7\u5927\u03bb\u4f1a\u5ffd\u89c6\u5b9e\u6d4b\u4fe1\u606f\uff0c\u6545\u03bb\u503c\u9700\u5e73\u8861\u6570\u636e\u9a71\u52a8\u4e0e\u7269\u7406\u5efa\u6a21\u5f71\u54cd\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u5bf9\u03f5\u503c\u5f71\u54cd\u8fdb\u884c\u5b9e\u9a8c\u6bd4\u8f83\uff1a<\/p>\n\n\n\n<ul 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