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Optimal control by deep learning techniques and its applications on epidemic models

We represent the optimal control functions by neural networks and solve optimal control problems by deep learning techniques. Adjoint sensitivity analysis is applied to train the neural networks embedded in differential equations. This method can not only be applied in classic epidemic control probl...

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Detalles Bibliográficos
Autores principales: Yin, Shuangshuang, Wu, Jianhong, Song, Pengfei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9875778/
https://www.ncbi.nlm.nih.gov/pubmed/36695914
http://dx.doi.org/10.1007/s00285-023-01873-0
Descripción
Sumario:We represent the optimal control functions by neural networks and solve optimal control problems by deep learning techniques. Adjoint sensitivity analysis is applied to train the neural networks embedded in differential equations. This method can not only be applied in classic epidemic control problems, but also in epidemic forecasting, discovering unknown mechanisms, and the ideas behind can give new insights to traditional mathematical epidemiological problems.