Fetching the paper…
Reading the bibliography…
This paper defines a new transport metric over the space of non-negative measures.
On the transfer of masses (in russian)
L. Kantorovich · 1942
Earlier work this paper cites.
Information and accuracy attainable in the estimation of statistical parameters
C.R. Rao · 1945
Earlier work this paper cites.
Integrals which are convex functionals. ii
R. Rockafellar · 1971
Earlier work this paper cites.
New lower semicontinuity results for nonconvex functionals defined on measures
G. Bouchitté and G. Buttazzo · 1990
Earlier work this paper cites.
Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces
L. G. Hanin · 1992
Earlier work this paper cites.
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
J-D. Benamou and Y. Brenier · 2000
Earlier work this paper cites.
Mixed L2-Wasserstein optimal mapping between prescribed density functions
J-D. Benamou and Y. Brenier · 2001
Earlier work this paper cites.
Extended Kantorovich norms: a tool for optimization
K. Guittet · 2002
Earlier work this paper cites.
Numerical resolution of an “unbalanced” mass transport problem
J-D. Benamou · 2003
Earlier work this paper cites.
Topics in optimal transportation
C. Villani · 2003
Earlier work this paper cites.
Optimal mass transport for registration and warping
S. Haker, L. Zhu, A. Tannenbaum, and S. Angenent · 2004
Cited alongside, same era.
Computing large deformation metric mappings via geodesic flows of diffeomorphisms
M. F. Beg, M. I. Miller, A. Trouvé, and L. Younes · 2005
Cited alongside, same era.
Metamorphoses through lie group action
A. Trouvé and L. Younes · 2005
Cited alongside, same era.
A Douglas–Rachford splitting approach to nonsmooth convex variational signal recovery
P. L. Combettes and J-C. Pesquet · 2007
Cited alongside, same era.
Gradient flows: in metric spaces and in the space of probability measures
L. Ambrosio, N. Gigli, and G. Savaré · 2008
Cited alongside, same era.
Dynamic formulation of optimal transport problems
C. Jimenez · 2008
Cited alongside, same era.
Proximal splitting methods in signal processing
P.L. Combettes and J-C. Pesquet · 2011
Later among the works it cites.
Geodesics for a class of distances in the space of probability measures
P. Cardaliaguet, G. Carlier, and B. Nazaret · 2013
Later among the works it cites.
Eulerian models and algorithms for unbalanced optimal transport
D. Lombardi and E. Maitre · 2013
Later among the works it cites.
On properties of the Generalized Wasserstein distance
B. Piccoli and F. Rossi · 2013
Later among the works it cites.
Uniqueness of the Fisher-Rao metric on the space of smooth densities
M.Bauer, M. Bruveris, and P. W. Michor · 2014
Later among the works it cites.
Optimal transport with proximal splitting
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A new class of transport distances between measures
J. Dolbeault, B. Nazaret, and G. Savaré · 2009
Cited alongside, same era.
Free boundaries in optimal transport and Monge-Ampere obstacle problems
L. Caffarelli and R. J. McCann · 2010
Cited alongside, same era.
A new transportation distance between non-negative measures, with applications to gradients flows with dirichlet boundary conditions
A. Figalli and N. Gigli · 2010
Cited alongside, same era.
The optimal partial transport problem
A. Figalli · 2010
Cited alongside, same era.
N. Papadakis, G. Peyré, and E. Oudet · 2014
Later among the works it cites.
Generalized Wasserstein distance and its application to transport equations with source
B. Piccoli and F. Rossi · 2014
Later among the works it cites.
A new optimal trasnport distance on the space of finite Radon measures
S. Kondratyev, L. Monsaingeon, and D. Vorotnikov · 2015
Closest in time.
A generalized model for optimal transport of images including dissipation and density modulation
J. Maas, M. Rumpf, C. Schönlieb, and S. Simon · 2015
Closest in time.