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Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network. (arXiv:2201.02217v1 [cs.LG])
Jan. 10, 2022, 2:10 a.m. | Huaiqian You, Yue Yu, Marta D'Elia, Tian Gao, Stewart Silling
cs.LG updates on arXiv.org arxiv.org
Neural operators have recently become popular tools for designing solution
maps between function spaces in the form of neural networks. Differently from
classical scientific machine learning approaches that learn parameters of a
known partial differential equation (PDE) for a single instance of the input
parameters at a fixed resolution, neural operators approximate the solution map
of a family of PDEs. Despite their success, the uses of neural operators are so
far restricted to relatively shallow neural networks and confined to …
arxiv deep neural network independent kernel network neural network
More from arxiv.org / cs.LG updates on arXiv.org
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