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dc.contributor.authorTahraoui, Rabah
dc.contributor.authorVialard, François-Xavier
dc.date.accessioned2017-12-07T13:18:48Z
dc.date.available2017-12-07T13:18:48Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17200
dc.language.isoenen
dc.subjectRight-invariant metric
dc.subjectGroup of Diffeomorphisms
dc.subjectFisher-Rao
dc.subjectRiemannian splines
dc.subject.ddc515en
dc.titleRiemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study a second-order variational problem on the group of diffeomorphisms of the interval [0, 1] endowed with a right-invariant Sobolev metric of order 2, which consists in the minimization of the acceleration. We compute the relaxation of the problem which involves the so-called Fisher-Rao functional a convex functional on the space of measures. This relaxation enables the derivation of several optimality conditions and, in particular, a sufficient condition which guarantees that a given path of the initial problem is also a minimizer of the relaxed one. This sufficient condition is related to the existence of a solution to a Riccati equation involving the path acceleration.
dc.identifier.citationpages34
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphine
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01331110
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-19T16:59:49Z


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