6 citations · 7 across the 5 of their papers we have counts for
5 papers
Towards a Statistical Understanding of Neural Networks: Beyond the Neural Tangent Kernel Theories
Yicheng Li, Haobo Zhang, Jianfa Lai +2
A primary advantage of neural networks lies in their feature learning characteristics, which is challenging to theoretically analyze due to the complexity of their training dynamic…
The Optimality of Kernel Classifiers in Sobolev Space
Jianfa Lai, Zhifan Li, Dongming Huang +1
Kernel methods are widely used in machine learning, especially for classification problems. However, the theoretical analysis of kernel classification is still limited. This paper…
Generalization Ability of Wide Residual Networks
Jianfa Lai, Zixiong Yu, Songtao Tian +1
In this paper, we study the generalization ability of the wide residual network on with the ReLU activation function. We first show that as the width $m\rightarr…
Generalization Ability of Wide Neural Networks on
Jianfa Lai, Manyun Xu, Rui Chen +1
We perform a study on the generalization ability of the wide two-layer ReLU neural network on . We first establish some spectral properties of the neural tangent kernel…
Construction of Uniform Designs over Continuous Domain in Computer Experiments
Jianfa Lai, Kai-Tai Fang, Xiaoling Peng +1
The construction of uniform designs (UDs) has received much attention in computer experiments over the past decades, but most of the previous works obtain uniform designs over a U-…