Juncai He

activity

20182026

most citedReLU Deep Neural Networks and Linear Finite Elements

155 citations · 379 across the 24 of their papers we have counts for

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3 papers · 1 filter

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…

cs.LG2018★ 4 cited

Make $ℓ_{1}$ Regularization Effective in Training Sparse CNN

Juncai He, Xiaodong Jia, Jinchao Xu +2

Compressed Sensing using $ℓ_{1}$ regularization is among the most powerful and popular sparsification technique in many applications, but why has it not been used to obtain sparse…

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 $s$ -regular domains, including general Lipschitz domains. In computa…

ReLU Deep Neural Networks and Linear Finite Elements

Make ℓ1​ Regularization Effective in Training Sparse CNN

Generalized Gaffney inequality and discrete compactness for discrete differential forms

Make $ℓ_{1}$ Regularization Effective in Training Sparse CNN