会议论文详细信息
11th International Conference on "Mesh methods for boundary-value problems and applications" | |
Multilayer neural network models based on grid methods | |
Lazovskaya, T.^1 ; Tarkhov, D.^1 | |
Peter the Great St-Petersburg Polytechnic University, 29 Politechnicheskaya Str, Saint-Petersburg | |
195251, Russia^1 | |
关键词: Classic models; Classical schemes; Continuous approximations; Hybrid model; Non-linear relationships; Numerical experiments; Ordinary and partial differential equations; Simple modifications; | |
Others : https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012061/pdf DOI : 10.1088/1757-899X/158/1/012061 |
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来源: IOP | |
【 摘 要 】
The article discusses building hybrid models relating classical numerical methods for solving ordinary and partial differential equations and the universal neural network approach being developed by D Tarkhov and A Vasilyev. The different ways of constructing multilayer neural network structures based on grid methods are considered. The technique of building a continuous approximation using one simple modification of classical schemes is presented. Introduction non-linear relationships into the classic models with and without posterior learning are investigated. The numerical experiments are conducted.
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Multilayer neural network models based on grid methods | 1111KB | download |