An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics

Uniqueness of the Fisher–Rao metric on the space of smooth densities

(2016) Martin Bauer et al.   BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

A generalized model for optimal transport of images including dissipation and density modulation

(2015) Jan Maas et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Eulerian models and algorithms for unbalanced optimal transport

(2015) Damiano Lombardi et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Information geometry and sufficient statistics

(2014) Nihat Ay et al.   PROBABILITY THEORY AND RELATED FIELDS

Optimal Transport with Proximal Splitting

(2014) Nicolas Papadakis et al.   SIAM Journal on Imaging Sciences

Generalized Wasserstein Distance and its Application to Transport Equations with Source

(2013) Benedetto Piccoli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Geodesics for a class of distances in the space of probability measures

(2012) P. Cardaliaguet et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Free boundaries in optimal transport and Monge-Ampère obstacle problems

(2010) Luis Caffarelli et al.   ANNALS OF MATHEMATICS

The Optimal Partial Transport Problem

(2009) Alessio Figalli   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

(2009) Alessio Figalli et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

A new class of transport distances between measures

(2008) Jean Dolbeault et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS