3 papers
math.OC2026
Directional first order approach for a class of bilevel programs
Kuang Bai, Wei Yao, Jane J. Ye +1
In this paper, we study a class of bilevel optimization program, where the feasible set of the lower level program is independent of the upper level variable. For bilevel programs…
math.OC2023
Directional derivative of the value function for parametric set-constrained optimization problems
Kuang Bai, Jane Ye
This paper is concerned with the directional derivative of the value function for a very general set-constrained optimization problem under perturbation. Under reasonable assumptio…
math.OC2023
Optimality conditions for bilevel programs via Moreau envelope reformulation
Kuang Bai, Jane Ye, Shangzhi Zeng
For bilevel programs with a convex lower level program, the classical approach replaces the lower level program with its Karush-Kuhn-Tucker condition and solve the resulting mathem…