13 citations · 42 across the 24 of their papers we have counts for
4 papers · 1 filter
Single-Loop Gradient Algorithms for Pessimistic Bilevel Optimization Problems
Qichao Cao, Bo Zeng, Shangzhi Zeng +1
Bilevel optimization has recently attracted growing attention, particularly in the development of efficient numerical methods. Despite substantial progress on optimistic bilevel op…
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…
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…
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…