Barycenter in Wasserstein space existence and consistency - Jean-Michel Loubes, Thibaut Le Gouic
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last edited by Geo-Sci-InfoAuthor: Jean-Michel Loubes, Thibaut Le Gouic
DOI URL: http://dx.doi.org/10.1007/978-3-319-25040-3_12
Video: http://www.youtube.com/watch?v=lzGxDemDCkc
Slides: LeGouic_Barycenter Wasserstein spaces.pdf
Presentation: https://www.see.asso.fr/node/14309
Creative Commons Attribution-ShareAlike 4.0 InternationalAbstract:
We study barycenters in the Wasserstein space Pp(E) of a locally compact geodesic space (E, d). In this framework, we define the barycenter of a measure ℙ on Pp(E) as its Fréchet mean. The paper establishes its existence and states consistency with respect to ℙ. We thus extends previous results on ℝ d , with conditions on ℙ or on the sequence converging to ℙ for consistency.
