30 citations · 32 across the 7 of their papers we have counts for
7 papers
Second-Order Optimality Conditions for Nonsmooth Constrained Optimization with Applications to Bilevel Programming
Xiang Liu, Mengwei Xu, Liwei Zhang
Second-order optimality conditions are essential for nonsmooth optimization, where both the objective and constraint functions are Lipschitz continuous and second-order directional…
Second-order optimality conditions for bilevel programs
Xiang Liu, Mengwei Xu, Liwei Zhang
Second-order optimality conditions of the bilevel programming problems are dependent on the second-order directional derivatives of the value functions or the solution mappings of…
A Comprehensive Survey on Orbital Edge Computing: Systems, Applications, and Algorithms
Changhao Wu, Yuanchun Li, Mengwei Xu +4
The number of satellites, especially those operating in low-earth orbit (LEO), is exploding in recent years. Additionally, the use of COTS hardware into those satellites enables a…
Uncertain Machine Ethical Decisions Using Hypothetical Retrospection
Simon Kolker, Louise Dennis, Ramon Fraga Pereira +1
We propose the use of the hypothetical retrospection argumentation procedure, developed by Sven Ove Hansson to improve existing approaches to machine ethical reasoning by accountin…
Relaxed constant positive linear dependence constraint qualification for disjunctive programs
Mengwei Xu, Jane J. Ye
The disjunctive system is a system involving a disjunctive set which is the union of finitely many polyhedral convex sets. In this paper, we introduce a notion of the relaxed const…
Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs
Mengwei Xu, Jane J. Ye
Relaxed constant positive linear dependence constraint qualification (RCPLD) for a system of smooth equalities and inequalities is a constraint qualification that is weaker than th…
Smoothing SQP methods for solving degenerate nonsmooth constrained optimization problems with applications to bilevel programs
Mengwei Xu, Jane Ye, Liwei Zhang
We consider a degenerate nonsmooth and nonconvex optimization problem for which the standard constraint qualification such as the generalized Mangasarian Fromovitz constraint quali…