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Information Geometry on Groupoids: The Case of Singular Metrics

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cris.lastimport.scopus2024-02-12T20:35:43Z
dc.abstract.enWe use the general setting for contrast (potential) functions in statistical and information geometry provided by Lie groupoids and Lie algebroids. The contrast functions are defined on Lie groupoids and give rise to two-forms and three-forms on the corresponding Lie algebroid. We study the case when the two-form is degenerate and show how in sufficiently regular cases one reduces it to a pseudometric structures. Transversal Levi-Civita connections for Riemannian foliations are generalized to the Lie groupoid/Lie algebroid case.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMarmo, Giuseppe
dc.contributor.authorGrabowski, Janusz
dc.contributor.authorKuś, Marek
dc.contributor.authorGrabowska, Katarzyna
dc.date.accessioned2024-01-25T04:14:22Z
dc.date.available2024-01-25T04:14:22Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number3
dc.description.volume27
dc.identifier.doi10.1142/S1230161220500158
dc.identifier.issn1230-1612
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/109294
dc.identifier.weblinkhttps://www.worldscientific.com/doi/pdf/10.1142/S1230161220500158
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofOpen Systems and Information Dynamics
dc.relation.pages2050015
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleInformation Geometry on Groupoids: The Case of Singular Metrics
dc.typeJournalArticle
dspace.entity.typePublication