Optimal mass transport over bridges

2015/03/01 by Yongxin Chen, Tryphon T. Georgiou, Chen, Yongxin +3
Engineering · Mathematics · Physics and Astronomy · #93E20 #Biology #Bridge (graph theory) #Computer science #Engineering #Engineering physics #FOS: Electrical engineering #FOS: Mathematics #Mass transport #Mathematical economics #Mathematical physics #Mathematics #Mechanical engineering #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Schrödinger's cat #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics #Systems and Control (eess.SY) #Work (physics) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1503.00215

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2015/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an overview of our recent work on implementable solutions to the Schroedinger bridge problem and their potential application to optimal transport and various generalizations.

Citations

• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• On the relation between optimal transport and Schrödinger bridges: A stochastic control viewpoint

Related

• On the relation between optimal transport and Schrödinger bridges: A stochastic control viewpoint
• An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm
• Traversing the Schroedinger Bridge strait: Robert Fortet's marvelous proof redux
• A second order equation for Schrödinger bridges with applications to the hot gas experiment and entropic transportation cost
• A Brief on Optimal Transport