15 citations · 41 across the 7 of their papers we have counts for
8 papers
Avoiding strict saddle points of nonconvex regularized problems
Luwei Bai, Yaohua Hu, Hao Wang +1
In this paper, we consider a class of non-convex and non-smooth sparse optimization problems, which encompass most existing nonconvex sparsity-inducing terms. We show the second-or…
The Behavior of Error Bounds via Moreau Envelopes
Yu Wang, Shengjie Li, Yaohua Hu +2
In this paper, we first establish the equivalence of three types of error bounds: uniformized Kurdyka-Łojasiewicz (u-KL) property, uniformized level-set subdifferential error bound…
Sparse estimation via optimization method in high-dimensional linear regression
Xin Li, Yaohua Hu, Chong Li +2
In this paper, we discuss the statistical properties of the optimization methods , including the minimization method and the regularization…
Convergence Rates of Subgradient Methods for Quasi-convex Optimization Problems
Yaohua Hu, Jiawen Li, Carisa Kwok Wai Yu
Quasi-convex optimization acts a pivotal part in many fields including economics and finance; the subgradient method is an effective iterative algorithm for solving large-scale qua…
Nonconvex and Nonsmooth Sparse Optimization via Adaptively Iterative Reweighted Methods
Hao Wang, Fan Zhang, Yuanming Shi +1
We propose a general formulation of nonconvex and nonsmooth sparse optimization problems with convex set constraint, which can take into account most existing types of nonconvex sp…
Incremental Subgradient Methods for Minimizing The Sum of Quasi-convex Functions
Yaohua Hu, Carisa Kwok Wai Yu, Xiaoqi Yang
The sum of ratios problem has a variety of important applications in economics and management science, but it is difficult to globally solve this problem. In this paper, we conside…
Linear convergence of inexact descent method and inexact proximal gradient algorithms for lower-order regularization problems
Yaohua Hu, Chong Li, Kaiwen Meng +1
The regularization problem with has been widely studied for finding sparse solutions of linear inverse problems and gained successful applications in various mat…
Group sparse optimization via regularization
Yaohua Hu, Chong Li, Kaiwen Meng +2
In this paper, we investigate a group sparse optimization problem via regularization in three aspects: theory, algorithm and application. In the theoretical aspect, by…