Fetching the paper…
Reading the bibliography…
The Gromov-Wasserstein distances were proposed a few years ago to compare distributions which do not lie in the same space.
On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables
Leon Isserlis · 1918
Earlier work this paper cites.
The topology of Stiefel manifolds
Ioan Mackenzie James · 1976
Earlier work this paper cites.
The Fréchet distance between multivariate normal distributions
DC Dowson and BV Landau · 1982
Earlier work this paper cites.
A class of Wasserstein metrics for probability distributions
Clark R Givens, Rae Michael Shortt, et al · 1984
Earlier work this paper cites.
Polar factorization and monotone rearrangement of vector-valued functions
Yann Brenier · 1991
Earlier work this paper cites.
On Lagrangian relaxation of quadratic matrix constraints
Kurt Anstreicher and Henry Wolkowicz · 2000
Earlier work this paper cites.
Topics in optimal transportation
Cédric Villani · 2003
Earlier work this paper cites.
Optimal transport: old and new
C Villani · 2008
Earlier work this paper cites.
On Wasserstein geometry of Gaussian measures
Asuka Takatsu · 2010
Earlier work this paper cites.
Gromov–Wasserstein distances and the metric approach to object matching
Facundo Mémoli · 2011
Cited alongside, same era.
Wasserstein barycenter and its application to texture mixing
Julien Rabin, Gabriel Peyré, Julie Delon, and Marc Bernot · 2011
Cited alongside, same era.
The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces
Karl-Theodor Sturm · 2012
Cited alongside, same era.
The tangent earth mover’s distance
Ofir Pele and Ben Taskar · 2013
Cited alongside, same era.
A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options
Alfred Galichon, Pierre Henry-Labordere, Nizar Touzi, et al · 2014
Cited alongside, same era.
Adaptive color transfer with relaxed optimal transport
Julien Rabin, Sira Ferradans, and Nicolas Papadakis · 2014
Wasserstein generative adversarial networks
Martin Arjovsky, Soumith Chintala, and Léon Bottou · 2017
Later among the works it cites.
Geodesic PCA in the Wasserstein space by convex PCA
Jérémie Bigot, Raúl Gouet, Thierry Klein, Alfredo López, et al · 2017
Later among the works it cites.
Learning Generative Models with Sinkhorn divergences
Aude Genevay, Gabriel Peyre, and Marco Cuturi · 2018
Later among the works it cites.
Towards optimal transport with global invariances
David Alvarez-Melis, Stefanie Jegelka, and Tommi S Jaakkola · 2019
Later among the works it cites.
Robust Wasserstein profile inference and applications to machine learning
Jose Blanchet, Yang Kang, and Karthyek Murthy · 2019
Later among the works it cites.
Computational optimal transport: with applications to data science
Gabriel Peyré, Marco Cuturi, et al · 2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Optimal transport for applied mathematicians
Filippo Santambrogio · 2015
Cited alongside, same era.
Optimal transport for domain adaptation
Nicolas Courty, Rémi Flamary, Devis Tuia, and Alain Rakotomamonjy · 2016
Cited alongside, same era.
Gromov-Wasserstein averaging of kernel and distance matrices
Gabriel Peyré, Marco Cuturi, and Justin Solomon · 2016
Cited alongside, same era.
Distances between probability distributions of different dimensions
Yuhang Cai and Lek-Heng Lim · 2020
Later among the works it cites.
Gromov–Wasserstein averaging in a Riemannian framework
Samir Chowdhury and Tom Needham · 2020
Later among the works it cites.
A contribution to optimal transport on incomparable spaces
Titouan Vayer · 2020
Later among the works it cites.