78 citations · 412 across the 48 of their papers we have counts for
6 papers · 1 filter
Radial Basis Function Approximation with Distributively Stored Data on Spheres
Han Feng, Shao-Bo Lin, Ding-Xuan Zhou
This paper proposes a distributed weighted regularized least squares algorithm (DWRLS) based on spherical radial basis functions and spherical quadrature rules to tackle spherical…
Generalization Performance of Empirical Risk Minimization on Over-parameterized Deep ReLU Nets
Shao-Bo Lin, Yao Wang, Ding-Xuan Zhou
In this paper, we study the generalization performance of global minima for implementing empirical risk minimization (ERM) on over-parameterized deep ReLU nets. Using a novel deepe…
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…
Universal Consistency of Deep Convolutional Neural Networks
Shao-Bo Lin, Kaidong Wang, Yao Wang +1
Compared with avid research activities of deep convolutional neural networks (DCNNs) in practice, the study of theoretical behaviors of DCNNs lags heavily behind. In particular, th…
Robust Kernel-based Distribution Regression
Zhan Yu, Daniel W. C. Ho, Ding-Xuan Zhou
Regularization schemes for regression have been widely studied in learning theory and inverse problems. In this paper, we study distribution regression (DR) which involves two stag…
Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints
Jinshan Zeng, Wotao Yin, Ding-Xuan Zhou
The augmented Lagrangian method (ALM) is one of the most useful methods for constrained optimization. Its convergence has been well established under convexity assumptions or smoot…