On the Relation Between Optimal Transport and Schrödinger Bridges: A Stochastic Control Viewpoint

Data-Driven Optimal Transport

(2015) Giulio Trigila et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

On Matrix-Valued Monge–Kantorovich Optimal Mass Transport

(2015) Lipeng Ning et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

A survey of the Schrödinger problem and some of its connections with optimal transport

(2013) Christian Léonard   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

From the Schrödinger problem to the Monge–Kantorovich problem

(2011) Christian Léonard   JOURNAL OF FUNCTIONAL ANALYSIS

Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space

(2010) Michele Pavon et al.   JOURNAL OF MATHEMATICAL PHYSICS

Optimal Transportation Problem by Stochastic Optimal Control

(2008) Toshio Mikami et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION