New connections on the fiber-bundle

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dc.contributor.authorAmoussou, A. Gbaguidi
dc.contributor.authorMoussa, F. Djibril
dc.contributor.authorOgouyandjou, C.
dc.contributor.authorDiop, M.A.
dc.date.accessioned2022-04-22T10:49:35Z
dc.date.available2022-04-22T10:49:35Z
dc.date.issued2019-09-02
dc.descriptionInformation geometry investigates the differential-geometric structure of statistical models and has many applications in statistical inference or machine learning for example (see [4]). Since the seminal work of Rao[14] where Fisher information is viewed as a Riemannian metric on a probability distributions space, statistical manifolds have been widely studied.en_US
dc.description.abstractIn this paper we construct a family of α-connections on a fiber-bundle of a generalized statistical manifold. We prove that the exponential and mixture connections are curvature-free and we investigate the associated parallel transport.en_US
dc.description.sponsorshipWorld Banken_US
dc.identifier.citationA. Gbaguidi Amoussou, F. Djibril Moussa, C. Ogouyandjou, M. A. Diop. (2019). New connections on the fiber-bundle of generalized statistical manifolds. Pg 24-32.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1418
dc.language.isoenen_US
dc.publisherResearch Gateen_US
dc.relation.ispartofseries;8
dc.subjectRiemanian manifolden_US
dc.subjectgeneralized statistical manifolden_US
dc.subjectfiber-bundleen_US
dc.subjectα-connectionen_US
dc.subjectparallel transporten_US
dc.titleNew connections on the fiber-bundleen_US
dc.typeArticleen_US
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