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math.OC2025
A Surrogate Value Function Formulation for Bilevel Optimization
Mengwei Xu, Yu-Hong Dai, Xin-Wei Liu +1
The value function formulation captures the hierarchical nature of bilevel optimization through the optimal value function of the lower level problem, yet its implicit and nonsmoot…
math.OC2024
Enhanced Barrier-Smoothing Technique for Bilevel Optimization with Nonsmooth Mappings
Mengwei Xu, Yu-Hong Dai, Xin-Wei Liu +1
Bilevel optimization problems, encountered in fields such as economics, engineering, and machine learning, pose significant computational challenges due to their hierarchical struc…