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math.OC2026
Scalable Dynamic Optimal Transport via Distributed Linearized ADMM
Hari Dahal, Rongjie Lai, Yangyang Xu
In this paper, we address two fundamental challenges in the numerical solution of dynamic opti- mal transport (OT) problems. The first challenge arises when the initial and/or term…
math.OC2023
Damped Proximal Augmented Lagrangian Method for weakly-Convex Problems with Convex Constraints
Hari Dahal, Wei Liu, Yangyang Xu
We give a damped proximal augmented Lagrangian method (DPALM) for solving problems with a weakly-convex objective and convex linear/nonlinear constraints. Instead of taking a full…