Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm

On the Linear Convergence of the Multimarginal Sinkhorn Algorithm

(2022) Guillaume Carlier   SIAM JOURNAL ON OPTIMIZATION

Stability of entropic optimal transport and Schrödinger bridges

(2022) Promit Ghosal et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Quantitative Stability of Regularized Optimal Transport and Convergence of Sinkhorn's Algorithm

(2022) Stephan Eckstein et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A formula for the time derivative of the entropic cost and applications

(2021) Giovanni Conforti et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Second order differentiation formula on RCD*$(K,N)$ spaces

(2021) Nicola Gigli et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Entropic optimal transport: convergence of potentials

(2021) Marcel Nutz et al.   PROBABILITY THEORY AND RELATED FIELDS

A Differential Approach to the Multi-Marginal Schrödinger System

(2020) Guillaume Carlier et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations

(2020) Robert J. Berman   NUMERISCHE MATHEMATIK

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

(2015) Yongxin Chen et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

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