3 papers
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
An efficient second-order cone programming approach for dynamic optimal transport on staggered grid discretization
Liang Chen, Youyicun Lin, Yuxuan Zhou
This paper proposes an efficient numerical method based on second-order cone programming (SOCP) to solve dynamic optimal transport (DOT) problems with quadratic cost on staggered g…
math.OC2025
An Efficient Augmented Lagrangian Framework for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming Reformulation
Liang Chen, Youyicun Lin, Yuxuan Zhou
This paper proposes an efficient numerical optimization framework for solving dynamic optimal transport (DOT) problems on surfaces, computing both the quadratic Wasserstein distanc…