4 papers
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…
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…