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A relationship between the ordinary maximum entropy method and the method of maximum entropy in the mean

dc.contributor.authorGzyl, Henrykspa
dc.contributor.authorter Horst, Enriquespa
dc.date.accessioned2023-06-21T22:23:11Z
dc.date.available2023-06-21T22:23:11Z
dc.date.issued2014-02-24
dc.identifier.urihttp://hdl.handle.net/10726/5127
dc.language.isoeng
dc.publisherMDPI AG
dc.titleA relationship between the ordinary maximum entropy method and the method of maximum entropy in the meaneng
dc.typearticle
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.localAbierto (Texto Completo)
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.identifier.instnameinstname:Colegio de Estudios Superiores de Administración – CESA
dc.identifier.reponamereponame:Biblioteca Digital – CESA
dc.identifier.repourlrepourl:https://repository.cesa.edu.co/
dc.description.abstractenglishThere are two entropy-based methods to deal with linear inverse problems, which we shall call the ordinary method of maximum entropy (OME) and the method of maximum entropy in the mean (MEM). Not only does MEM use OME as a stepping stone, it also allows for greater generality. First, because it allows to include convex constraints in a natural way, and second, because it allows to incorporate and to estimate (additive) measurement errors from the data. Here we shall see both methods in action in a specific example. We shall solve the discretized version of the problem by two variants of MEM and directly with OME. We shall see that OME is actually a particular instance of MEM, when the reference measure is a Poisson Measure.eng
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.relation.citationvolume16
dc.relation.citationissue2
dc.relation.citationstartpage1123
dc.relation.citationendpage1133
dc.contributor.orcidter Horst, Enrique [0000-0001-5153-1475]
dc.type.driverinfo:eu-repo/semantics/article
dc.type.redcolhttp://purl.org/redcol/resource_type/ART
dc.type.coarversionhttp://purl.org/coar/version/c_71e4c1898caa6e32
dc.contributor.scopusGzyl, Henryk [6701665186]
dc.contributor.scopuster Horst, Enrique [49561184500]
dc.description.orcidhttps://orcid.org/0000-0001-5153-1475
dc.description.scopushttps://www.scopus.com/authid/detail.uri?authorId=6701665186
dc.description.scopushttps://www.scopus.com/authid/detail.uri?authorId=49561184500
dc.identifier.eissn1099-4300
dc.relation.ispartofjournalEntropy
dc.identifier.doihttps://doi.org/10.3390/e16021123
dc.subject.proposalMaximum entropy
dc.subject.proposalMaximum entropy in the mean
dc.subject.proposalConstrained linear inverse problems
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2


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