HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

Barycenter in Wasserstein space existence and consistency

Abstract : 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.
Document type :
Conference papers
Complete list of metadata

Cited literature [5 references]  Display  Hide  Download

Contributor : Thibaut Le Gouic Connect in order to contact the contributor
Submitted on : Monday, March 21, 2016 - 5:31:19 PM
Last modification on : Monday, April 4, 2022 - 3:24:12 PM
Long-term archiving on: : Sunday, November 13, 2016 - 9:00:02 PM


Files produced by the author(s)



Thibaut Le Gouic, Jean-Michel Loubes. Barycenter in Wasserstein space existence and consistency. GSI2015 2nd conference on Geometric Science of Information, Oct 2015, Palaiseau, France. pp.104-108, ⟨10.1007/978-3-319-25040-3_12⟩. ⟨hal-01291307⟩



Record views


Files downloads