Fetching the paper…
Reading the bibliography…
Given a family of probability measures in P(X), the space of probability measures on a Hilbert space X, our goal in this paper is to highlight one ore more curves in P(X) that summarize efficiently that family.
Les éléments aléatoires de nature quelconque dans un espace distancié
Maurice Fréchet · 1948
Earlier work this paper cites.
Principal curves
Trevor Hastie and Werner Stuetzle · 1989
Earlier work this paper cites.
A convexity principle for interacting gases
Robert J McCann · 1997
Earlier work this paper cites.
Kernel principal component analysis
Bernhard Schölkopf, Alexander Smola, and Klaus-Robert Müller · 1997
Earlier work this paper cites.
Quantile regression via an mm algorithm
David R Hunter and Kenneth Lange · 2000
Earlier work this paper cites.
A k-segments algorithm for finding principal curves
Jakob J Verbeek, Nikos Vlassis, and B Kröse · 2002
Earlier work this paper cites.
Principal geodesic analysis for the study of nonlinear statistics of shape
P. Thomas Fletcher, Conglin Lu, Stephen M. Pizer, and Sarang Joshi · 2004
Earlier work this paper cites.
Gradient flows: in metric spaces and in the space of probability measures
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2006
Earlier work this paper cites.
Automated colour grading using colour distribution transfer
François Pitié, Anil C Kokaram, and Rozenn Dahyot · 2007
Cited alongside, same era.
Optimal transport: old and new , volume 338
Cédric Villani · 2008
Cited alongside, same era.
Projections onto the cone of optimal transport maps and compressible fluid flows
Michael Westdickenberg · 2010
Cited alongside, same era.
Barycenters in the wasserstein space
Martial Agueh and Guillaume Carlier · 2011
Cited alongside, same era.
Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi · 2013
Cited alongside, same era.
A nonparametric ensemble transform method for bayesian inference
Sebastian Reich · 2013
Cited alongside, same era.
Iterative bregman projections for regularized transportation problems
Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, and Gabriel Peyré · 2015
Closest in time.
Geodesic pca in the wasserstein space by convex pca
Jérémie Bigot, Raúl Gouet, Thierry Klein, and Alfredo López · 2015
Closest in time.
Distribution’s template estimate with wasserstein metrics
Emmanuel Boissard, Thibaut Le Gouic, Jean-Michel Loubes, et al · 2015
Closest in time.
Sliced and radon wasserstein barycenters of measures
Nicolas Bonneel, Julien Rabin, Gabriel Peyré, and Hanspeter Pfister · 2015
Closest in time.
Fast optimal transport averaging of neuroimaging data
Alexandre Gramfort, Gabriel Peyré, and Marco Cuturi · 2015
Closest in time.
Convolutional wasserstein distances: Efficient optimal transportation on geometric domains
Justin Solomon, Fernando de Goes, Pixar Animation Studios, Gabriel Peyré, Marco Cuturi, Adrian Butscher, Andy Nguyen, Tao Du, and Leonidas Guibas · 2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A linear optimal transportation framework for quantifying and visualizing variations in sets of images
Wei Wang, Dejan Slepčev, Saurav Basu, John A Ozolek, and Gustavo K Rohde · 2013
Cited alongside, same era.
Fast computation of wasserstein barycenters
Marco Cuturi and Arnaud Doucet · 2014
Cited alongside, same era.
Closest in time.
Wasp: Scalable bayes via barycenters of subset posteriors
Sanvesh Srivastava, Volkan Cevher, Quoc Tran-Dinh, and David B Dunson · 2015
Closest in time.