ON FOUNDATIONS OF PARAMETER ESTIMATION FOR GENERALIZED PARTIAL LINEAR MODELS WITH B-SPLINES AND CONTINUOUS OPTIMIZATION

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dc.contributor.authorTaylan, Pakize
dc.contributor.authorWeber, Gerhard-Wilhelm
dc.contributor.authorLiu, Lian
dc.date.accessioned2024-04-24T16:24:11Z
dc.date.available2024-04-24T16:24:11Z
dc.date.issued2010
dc.departmentDicle Üniversitesien_US
dc.description3rd Global Conference on Power Control and Optimization -- FEB 02-04, 2010 -- Gold Coast, AUSTRALIAen_US
dc.description.abstractGeneralized linear models are widely-used statistical techniques. As an extension, generalized partial linear models utilize semiparametric methods and augment the usual parametric terms by a single nonparametric component of a continuous covariate. In this paper, after a short introduction, we present our model in the generalized additive context with a focus on penalized maximum likelihood and on the penalized iteratively reweighted least squares (P-IRLS) problem based on B-splines which is attractive for nonparametric components. Then, we approach solving the P-IRLS problem using continuous optimization techniques. They become an important complementary technology and alternative to the penalty methods with the flexibility of choosing the penalty parameter adaptively. In particular, we model and treat the constrained P-IRLS problem by the elegant framework of conic quadratic programming. This paper is of a more theoretical nature and a preparation of real-world applications in future.en_US
dc.description.sponsorshipMiddle E Tech Univ,Curtin Univ Technol Malaysia,LINDO Syst Inc,EUROPT,HINDAWIen_US
dc.identifier.doi10.1063/1.3459763
dc.identifier.endpage304en_US
dc.identifier.isbn978-0-7354-0785-5
dc.identifier.issn0094-243X
dc.identifier.startpage297en_US
dc.identifier.urihttps://doi.org/10.1063/1.3459763
dc.identifier.urihttps://hdl.handle.net/11468/16565
dc.identifier.volume1239en_US
dc.identifier.wosWOS:000283210500038
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofPower Control and Optimization
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRegressionen_US
dc.subjectGeneralized Linear Modelsen_US
dc.subjectGeneralized Partial Linear Modelsen_US
dc.subjectGeneralized Additive Modelen_US
dc.subjectLeast Squaresen_US
dc.subjectMaximum Likelihooden_US
dc.subjectCurvatureen_US
dc.subjectNewton-Rapshon Algorithmen_US
dc.subjectPenalty Methodsen_US
dc.subjectContinuous Optimizationen_US
dc.subjectConic Quadratic Programmingen_US
dc.titleON FOUNDATIONS OF PARAMETER ESTIMATION FOR GENERALIZED PARTIAL LINEAR MODELS WITH B-SPLINES AND CONTINUOUS OPTIMIZATIONen_US
dc.titleON FOUNDATIONS OF PARAMETER ESTIMATION FOR GENERALIZED PARTIAL LINEAR MODELS WITH B-SPLINES AND CONTINUOUS OPTIMIZATION
dc.typeConference Objecten_US

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