Communication Dans Un Congrès Année : 2015

Barycenter in Wasserstein space existence and consistency

Résumé

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.

Fichier principal
Vignette du fichier
72-ThibautLeGouic.pdf (211.93 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01291307 , version 1 (21-03-2016)

Licence

Identifiants

Citer

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⟩
380 Consultations
425 Téléchargements

Altmetric

Partager

  • More