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dc.creatorChintakunta, Harish
dc.creatorGentimis, Thanos
dc.creatorGonzález Díaz, Rocío
dc.creatorJiménez Rodríguez, María José
dc.creatorKrim, Hamid
dc.date.accessioned2015-11-23T12:38:31Z
dc.date.available2015-11-23T12:38:31Z
dc.date.issued2015
dc.identifier.urihttp://hdl.handle.net/11441/30937
dc.description.abstractIn persistent homology, the persistence barcode encodes pairs of simplices meaning birth and death of homology classes. Persistence barcodes depend on the ordering of the simplices (called a filter) of the given simplicial complex. In this paper, we define the notion of “minimal” barcodes in terms of entropy. Starting from a given filtration of a simplicial complex K, an algorithm for computing a “proper” filter (a total ordering of the simplices preserving the partial ordering imposed by the filtration as well as achieving a persistence barcode with small entropy) is detailed, by way of computation, and subsequent modification, of maximum matchings on subgraphs of the Hasse diagram associated to K. Examples demonstrating the utility of computing such a proper ordering on the simplices are given.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofPattern Recognition, 48 (2), 391-401.es
dc.rightsAtribución-NoComercial-CompartirIgual 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/*
dc.subjectPersistent homologyes
dc.subjectPersistence barcodeses
dc.subjectHasse diagrames
dc.subjectSimplicial complexeses
dc.subjectEntropyes
dc.subjectFiltrationes
dc.subjectFilteres
dc.titleAn entropy-based persistence barcodees
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada Ies
dc.identifier.doihttp://dx.doi.org/doi:10.1016/j.patcog.2014.06.023es
dc.journaltitlePattern Recognitiones
dc.publication.volumen48es
dc.publication.issue2es
dc.publication.initialPage391es
dc.publication.endPage401es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/30937

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