4 papers
Tractability of approximation by general shallow networks
Hrushikesh Mhaskar, Tong Mao
In this paper, we present a sharper version of the results in the paper Dimension independent bounds for general shallow networks; Neural Networks, \textbf{123} (2020), 142-152. Le…
Rates of Approximation by ReLU Shallow Neural Networks
Tong Mao, Ding-Xuan Zhou
Neural networks activated by the rectified linear unit (ReLU) play a central role in the recent development of deep learning. The topic of approximating functions from Hölder space…
Encoding of data sets and algorithms
Katarina Doctor, Tong Mao, Hrushikesh Mhaskar
In many high-impact applications, it is important to ensure the quality of output of a machine learning algorithm as well as its reliability in comparison with the complexity of th…
Theory of Deep Convolutional Neural Networks III: Approximating Radial Functions
Tong Mao, Zhongjie Shi, Ding-Xuan Zhou
We consider a family of deep neural networks consisting of two groups of convolutional layers, a downsampling operator, and a fully connected layer. The network structure depends o…