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math.OC2026
Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers
Xiaoning Bai, Shangzhi Zeng, Jin Zhang
Value-function-type reformulations have generated a broad class of methods for bilevel optimization. However, the corresponding value-function-type constraints are inherently degen…
math.OC2026
A Single-Loop Penalty-based Algorithm for Stochastic Minimax Optimization with Nonlinear Coupled Constraints
Qichao Cao, Shangzhi Zeng, Jin Zhang +1
We study stochastic nonconvex-concave minimax optimization with nonlinear coupled constraints that are convex in the maximization variable. To address the nonsmoothness arising fro…
math.OC2026
A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems
Yongcun Song, Shangzhi Zeng, Jin Zhang +1
Optimal control of obstacle problems arises in a wide range of applications and is computationally challenging due to its nonsmoothness, nonlinearity, and bilevel structure. Classi…