5 papers
An augmented Lagrangian method with exact multipliers for non-separable composite - regularization
Huan Ren, Guiyun Xiao
This paper studies a non-separable composite - regularization model that simultaneously enforces sparsity and smoothness for inverse problems. The norm ind…
A Column-Wise Update Algorithm for Sparse Stochastic Matrix Factorization
Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching
Nonnegative matrix factorization arises widely in machine learning and data analysis. In this paper, for a given factorization of rank r, we consider the sparse stochastic matrix f…
A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint
Guiyun Xiao, Zheng-Jian Bai
In this paper, we consider the sparse least squares regression problem with probabilistic simplex constraint. Due to the probabilistic simplex constraint, one could not apply the L…
Single-pass randomized QLP decomposition for low-rank approximation
Huan Ren, Zheng-Jian Bai
The QLP decomposition is one of the effective algorithms to approximate singular value decomposition (SVD) in numerical linear algebra. In this paper, we propose some single-pass r…
A Modified Orthogonal Matching Pursuit for Construction of Sparse Probabilistic Boolean Networks
Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching
Probabilistic Boolean Networks play a remarkable role in the modelling and control of gene regulatory networks. In this paper, we consider the inverse problem of constructing a spa…