Convergence of Sinkhorn's Algorithm for Entropic Martingale Optimal Transport Problem

F Chen, G Conforti, Z Ren, X Wang - arXiv preprint arXiv:2407.14186, 2024 - arxiv.org
In this paper, we study the Entropic Martingale Optimal Transport (EMOT) problem on R. We
begin by introducing the dual formulation and prove the exponential convergence of …

On the Martingale Schr\" odinger Bridge between Two Distributions

M Nutz, J Wiesel - arXiv preprint arXiv:2401.05209, 2024 - arxiv.org
We study a martingale Schr\" odinger bridge problem: given two probability distributions, find
their martingale coupling with minimal relative entropy. Our main result provides Schr\" …