155 citations · 379 across the 24 of their papers we have counts for
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math.NA2021★ 34 cited
ReLU Deep Neural Networks from the Hierarchical Basis Perspective
Juncai He, Lin Li, Jinchao Xu
We study ReLU deep neural networks (DNNs) by investigating their connections with the hierarchical basis method in finite element methods. First, we show that the approximation sch…
math.NA2021★ 8 cited
Power Series Expansion Neural Network
Qipin Chen, Wenrui Hao, Juncai He
In this paper, we develop a new neural network family based on power series expansion, which is proved to achieve a better approximation accuracy in comparison with existing neural…