3 papers
math.OC2025
A Correspondence-Driven Approach for Bilevel Decision-making with Nonconvex Lower-Level Problems
Xiaotian Jiang, Jiaxiang Li, Jiawen Bi +2
We consider bilevel optimization problems with general nonconvex lower-level objectives and show that the classical hyperfunction-based formulation is unsettled, since the global m…
math.OC2025
A Discretization Approach for Bilevel Optimization with Low-Dimensional and Non-Convex Lower-Level
Xiaotian Jiang, Ioannis Tsaknakis, Prashant Khanduri +1
Bilevel optimization (BLO) problem, where two optimization problems (referred to as upper- and lower-level problems) are coupled hierarchically, has wide applications in areas such…
math.OC2024
A Barrier Function Approach for Bilevel Optimization with Coupled Lower-Level Constraints: Formulation, Approximation and Algorithms
Xiaotian Jiang, Jiaxiang Li, Mingyi Hong +1
In this paper, we consider bilevel optimization problem where the lower-level has coupled constraints, i.e. the constraints depend both on the upper- and lower-level variables. In…