15 citations · 25 across the 8 of their papers we have counts for
8 papers
Lipschitz continuity of solution multifunctions of extended regularization problems
Kaiwen Meng, Pengcheng Wu, Xiaoqi Yang
The Lasso and the basis pursuit in compressed sensing and machine learning are convex optimization problems with three parameters: the regularization scalar, the observation vector…
Variational Analysis of Kurdyka-Łojasiewicz Property, Exponent and Modulus
Minghua Li, Kaiwen Meng, Xiaoqi Yang
The Kurdyka-Łojasiewicz (KŁ) property, exponent and modulus have played a very important role in the study of global convergence and rate of convergence for optimal algorithms. In…
Kurdyka-Łojasiewicz Inequality and Error Bounds of D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems
M. H. Li, K. W. Meng, X. Q. Yang
In this paper, we study the D-gap function associated with a nonsmooth and nonmonotone variational inequality problem. We present some exact formulas for the subderivative, the reg…
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…
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…
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…