Vers un théorème de la limite centrale dans l'espace de Wasserstein ?/ Towards a central limit theorem in the Wasserstein space?

Simple item page
dc.contributor.authorAgueh, Martial
dc.contributor.authorCarlier, Guillaume
dc.date.accessioned2018-02-14T00:21:27Z
dc.date.available2018-02-14T00:21:27Z
dc.date.copyright2017en_US
dc.date.issued2017
dc.descriptionIncludes the abridged English versionen_US
dc.description.abstractRésumé Les barycentres dans l'espace de Wasserstein constituent une manière naturelle d'interpoler entre plusieurs mesures de probabillité, utile dans différents domaines appliqués comme le traitement d'images ou l'apprentissage statistique. Nous conjecturons que ces barycentres obéissent à un théorème de la limite centrale que nous démontrons dans quelques cas (très) particuliers. / Abstract The notion of Wasserstein barycenters is a natural way to interpolate between several probability measures, useful in various applied settings like image processing or machine learning. We conjecture that such barycenters obey a central limit theorem which we prove in some (very) particular cases.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationAgueh, M. & Carlier, G. (2017). Vers un théorème de la limite centrale dans l’espace de Wasserstein?/Towards a central limit theorem in the Wasserstein space?. Comptes Rendus Mathematique, 355(7), 812-818. https://doi.org/10.1016/j.crma.2017.05.010en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.crma.2017.05.010
dc.identifier.urihttp://hdl.handle.net/1828/9060
dc.language.isoenen_US
dc.publisherComptes Rendus Mathematiqueen_US
dc.titleVers un théorème de la limite centrale dans l'espace de Wasserstein ?/ Towards a central limit theorem in the Wasserstein space?en_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Augeh_Marital_ComptRendusMath_2017.pdf
Size:
303.49 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty Publications (BioMed Central & Faculty of Science)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.