distributed optimization 1dynamic optimal transport 1linearized admm 1memory-efficient algorithms 1numerical stability 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.OC2026
Scalable Dynamic Optimal Transport via Distributed Linearized ADMM
Hari Dahal, Rongjie Lai, Yangyang Xu
The paper proposes a reformulation of the dynamic optimal transport problem that admits an exact proximal mapping and combines it with a linearized ADMM algorithm to remain stable…
math.OC2025
Joint Inference of Trajectory and Obstacle in Mean-Field Games via Bilevel Optimization
Han Huang, Jiajia Yu, Tianyi Chen +1
Mean field game (MFG) is an expressive modeling framework for systems with a continuum of interacting agents. While many approaches exist for solving the forward MFG, few have stud…
cs.LG2024
Unsupervised Solution Operator Learning for Mean-Field Games via Sampling-Invariant Parametrizations
Han Huang, Rongjie Lai
Recent advances in deep learning has witnessed many innovative frameworks that solve high dimensional mean-field games (MFG) accurately and efficiently. These methods, however, are…