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dc.contributor.authorCarlier, Guillaume
dc.contributor.authorOberman, Adam
dc.contributor.authorOudet, Edouard
dc.date.accessioned2014-05-16T09:26:32Z
dc.date.available2014-05-16T09:26:32Z
dc.date.issued2015
dc.identifier.issn0764-583X
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13300
dc.language.isoenen
dc.subjectWasserstein barycenter
dc.subjectduality
dc.subjectmatching for teams
dc.subjectlinear programming
dc.subjectnumerical methods for nonsmooth convex minimization
dc.subject.ddc519en
dc.titleNumerical methods for matching for teams and Wasserstein barycenters
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherLaboratoire Jean Kuntzmann (LJK) http://ljk.imag.fr CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology;France
dc.contributor.editoruniversityotherDepartment of Mathematics and Statistics [Mac Gill] http://www.math.mcgill.ca/ Mac Gill University;Canada
dc.description.abstractenEquilibrium multi-population matching (matching for teams) is a prob- lem from mathematical economics which is related to multi-marginal op- timal transport. A special but important case is the Wasserstein barycen- ter problem, which has applications in image processing and statistics. Two algorithms are presented: a linear programming algorithm and an e cient nonsmooth optimization algorithm, which applies in the case of the Wasserstein barycenters. The measures are approximated by discrete measures: convergence of the approximation is proved. Numerical results are presented which illustrate the e ciency of the algorithms.
dc.relation.isversionofjnlnameModélisation mathématique et analyse numérique
dc.relation.isversionofjnlvol49
dc.relation.isversionofjnlissue6
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages1621-1642
dc.relation.isversionofdoi10.1051/m2an/2015033
dc.identifier.urlsitehttps://arxiv.org/abs/1411.3602v1
dc.relation.isversionofjnlpublisherAFCET
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-10-07T12:42:53Z


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