Interval analysis and optimization applied to parameter estimation under uncertainty

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dc.citation.journalTitleBoletim Da Sociedade Paranaense De Matematica
dc.contributor.authorGallego-Posada
dc.contributor.authorJ.D.
dc.contributor.authorPuerta-Yepes
dc.contributor.authorM.E.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupMatemáticas y Aplicacionesspa
dc.creatorGallego-Posada
dc.creatorJ.D.
dc.creatorPuerta-Yepes
dc.creatorM.E.
dc.date.accessioned2021-04-12T14:04:21Z
dc.date.available2021-04-12T14:04:21Z
dc.date.issued2018-01-01
dc.description.abstractWe present a methodology through exemplification to perform parameter estimation subject to possible factors of uncertainty. The underlying optimization problem is posed in the framework of the theory of interval-valued optimization. The implementation of numerical procedures required to achieve efficient solutions implied the use of the l1 norm instead of usual l2 regression. Finally, an implementation using real data was performed, demonstrating the ability of interval analysis to encapsulate uncertainty while facing non-trivial parameter estimation problems. © Soc. Paran. de Mat.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=7847
dc.identifier.doi10.5269/bspm.v36i2.29309
dc.identifier.issn21751188
dc.identifier.otherWOS;000426616200007
dc.identifier.otherSCOPUS;2-s2.0-85036575702
dc.identifier.urihttp://hdl.handle.net/10784/27709
dc.language.isoengeng
dc.publisherBoletim da Sociedade Paranaense de Matematica
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85036575702&doi=10.5269%2fbspm.v36i2.29309&partnerID=40&md5=5f95842f37e11b70438d0e688c0aa80a
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/2175-1188
dc.sourceBoletim Da Sociedade Paranaense De Matematica
dc.subjectInterval-valued analysiseng
dc.subjectInverse problemseng
dc.subjectOptimizationeng
dc.subjectParameter estimationeng
dc.titleInterval analysis and optimization applied to parameter estimation under uncertaintyeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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