155 citations · 379 across the 24 of their papers we have counts for
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math.NA2018★ 155 cited
ReLU Deep Neural Networks and Linear Finite Elements
Juncai He, Lin Li, Jinchao Xu +1
In this paper, we investigate the relationship between deep neural networks (DNN) with rectified linear unit (ReLU) function as the activation function and continuous piecewise lin…
math.NA2018
Generalized Gaffney inequality and discrete compactness for discrete differential forms
Juncai He, Kaibo Hu, Jinchao Xu
We prove generalized Gaffney inequalities and the discrete compactness for finite element differential forms on -regular domains, including general Lipschitz domains. In computa…