Wasserstein barycentric coordinates

Author:

Bonneel Nicolas1,Peyré Gabriel2,Cuturi Marco3

Affiliation:

1. Univ. Lyon, CNRS and LIRIS

2. CNRS and Univ. Paris-Dauphine

3. Kyoto University

Funder

European Research Council

Japan Society for the Promotion of Science

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design

Reference43 articles.

1. Barycenters in the Wasserstein Space

2. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

3. Iterative Bregman projections for regularized transportation problems;Benamou J.-D.;SIAM J. on Sci. Computing,2015

4. Bigot J. and Klein T. 2012. Consistent estimation of a population barycenter in the Wasserstein space. Preprint arXiv:1212.2562. Bigot J. and Klein T. 2012. Consistent estimation of a population barycenter in the Wasserstein space. Preprint arXiv:1212.2562 .

5. Bigot J. Gouet R. Klein T. and López A. 2015. Geodesic PCA in the Wasserstein space by Convex PCA. Annales de l'Institut Henri Poincaré B: Probability and Statistics. Bigot J. Gouet R. Klein T. and López A. 2015. Geodesic PCA in the Wasserstein space by Convex PCA. Annales de l'Institut Henri Poincaré B: Probability and Statistics .

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