21 citations · 71 across the 14 of their papers we have counts for
14 papers
Projectional Coderivatives and Calculus Rules
Wenfang Yao, Kaiwen Meng, Minghua Li +1
This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions. We show that when the restricte…
Relative Lipschitz-like property of parametric systems via projectional coderivative
Wenfang Yao, Xiaoqi Yang
This paper concerns upper estimates of the projectional coderivative of implicit mappings and corresponding applications on analyzing the relative Lipschitz-like property. Under di…
An inexact regularized proximal Newton method for nonconvex and nonsmooth optimization
Ruyu Liu, Shaohua Pan, Yuqia Wu +1
This paper focuses on the minimization of a sum of a twice continuously differentiable function and a nonsmooth convex function. An inexact regularized proximal Newton method i…
A regularized Newton method for -norm composite optimization problems
Yuqia Wu, Shaohua Pan, Xiaoqi Yang
This paper is concerned with -norm regularized minimization problems with a twice continuously differentiable loss function. For this class of nonconvex and nonsmo…
Isolated calmness and sharp minima via Hölder graphical derivatives
Alexander Y. Kruger, Marco A. López, Xiaoqi Yang +1
The paper utilizes Hölder graphical derivatives for characterizing Hölder strong subregularity, isolated calmness and sharp minimum. As applications, we characterize Hölder isolate…
Fully piecewise linear vector optimization problem
Xiyin Zheng, Xiaoqi Yang
We distinguish two kinds of piecewise linear functions and provide an interesting representation for a piecewise linear function between two normed spaces. Based on such a represen…
Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
Kaiwen Meng, Minghua Li, Wenfang Yao +1
In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set…
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…
Hölder Error Bounds and Hölder Calmness with Applications to Convex Semi-Infinite Optimization
Alexander Kruger, Marco López, Xiaoqi Yang +1
Using techniques of variational analysis, necessary and sufficient subdifferential conditions for Hölder error bounds are investigated and some new estimates for the corresponding…
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…
A unified recovery bound estimation for noise-aware Lq optimization model in compressed sensing
Zhi-Long Dong, Xiaoqi Yang, Yu-Hong Dai
In this letter, we present a unified result for the stable recovery bound of Lq(0 < q < 1) optimization model in compressed sensing, which is a constrained Lq minimization problem…
On Error Bound Moduli for Locally Lipschitz and Regular Functions
Minghua Li, Kaiwen Meng, Xiaoqi Yang
In this paper we study local error bound moduli for a locally Lipschitz and regular function via its outer limiting subdifferential set. We show that the distance of 0 from the out…
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…