155 citations · 379 across the 24 of their papers we have counts for
5 papers · 1 filter
An Interpretive Constrained Linear Model for ResNet and MgNet
Juncai He, Jinchao Xu, Lian Zhang +1
We propose a constrained linear data-feature-mapping model as an interpretable mathematical model for image classification using a convolutional neural network (CNN). From this vie…
A Weight Initialization Based on the Linear Product Structure for Neural Networks
Qipin Chen, Wenrui Hao, Juncai He
Weight initialization plays an important role in training neural networks and also affects tremendous deep learning applications. Various weight initialization strategies have alre…
Approximation Properties of Deep ReLU CNNs
Juncai He, Lin Li, Jinchao Xu
This paper focuses on establishing approximation properties for deep ReLU convolutional neural networks (CNNs) in two-dimensional space. The analysis is based on a decomposit…
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…
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…