2 citations · 5 across the 10 of their papers we have counts for
10 papers
Second-order optimality conditions for optimization problems with generalized equation constraints
M. Benko, H. Gfrerer, J. J. Ye +2
This paper provides second-order optimality conditions for optimization problems with generalized equation constraints (GEPs), a framework that encompasses several important and ch…
Newton-Direction-Based ReLU-Thresholding Methods for Nonnegative Sparse Signal Recovery
Ning Bian, Zhong-Feng Sun, Yun-Bin Zhao +2
Nonnegative sparse signal recovery has been extensively studied due to its broad applications. Recent work has integrated rectified linear unit (ReLU) techniques to enhance existin…
Dynamic Thresholding Algorithm with Memory for Linear Inverse Problems
Zhong-Feng Sun, Yun-Bin Zhao, Jin-Chuan Zhou +1
The relaxed optimal -thresholding pursuit (ROTP) is a recent algorithm for linear inverse problems. This algorithm is based on the optimal -thresholding technique which perfo…
Heavy-ball-based optimal thresholding algorithms for sparse linear inverse problems
Zhong-Feng Sun, Jin-Chuan Zhou, Yun-Bin Zhao
Linear inverse problems arise in diverse engineering fields especially in signal and image reconstruction. The development of computational methods for linear inverse problems with…
Heavy-Ball-Based Hard Thresholding Algorithms for Sparse Signal Recovery
Zhong-Feng Sun, Jin-Chuan Zhou, Yun-Bin Zhao +1
The hard thresholding technique plays a vital role in the development of algorithms for sparse signal recovery. By merging this technique and heavy-ball acceleration method which i…
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
Matus Benko, Helmut Gfrerer, Jane Ye +2
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical prog…
Second-order optimality conditions for non-convex set-constrained optimization problems
Helmut Gfrerer, Jane Ye, Jinchuan Zhou
In this paper we study second-order optimality conditions for non-convex set-constrained optimization problems. For a convex set-constrained optimization problem, it is well-known…
Exact formula for the second-order tangent set of the second-order cone complementarity set
Jein-Shan Chen, Jane J. Ye, Jin Zhang +1
The second-order tangent set is an important concept in describing the curvature of the set involved. Due to the existence of the complementarity condition, the second-order cone (…
Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
Jane Ye, Jinchuan Zhou
The error bound property for a solution set defined by a set-valued mapping refers to an inequality that bounds the distance between vectors closed to a solution of the given set b…
Exact formulas for the proximal/regular/limiting normal cone of the second-order cone complementarity set
Jane J. Ye, Jinchuan Zhou
The proximal, regular and limiting normal cones to the second-order cone complementarity set play important roles in studying mathematical programs with second-order cone complemen…