An approach to the mean shift outlier model by Tikhonov regularization and conic programming

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dc.contributor.authorTaylan, Pakize
dc.contributor.authorYerlikaya-Oezkurt, Fatma
dc.contributor.authorWeber, Gerhard-Wilhelm
dc.date.accessioned2024-04-24T17:20:43Z
dc.date.available2024-04-24T17:20:43Z
dc.date.issued2014
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn statistical research, regression models based on data play a central role; one of these models is the linear regression model. However, this model may give misleading results when data contain outliers. The outliers in linear regression can be resolved in two stages: by using the Mean Shift Outlier Model (MSOM) and by providing a new solution for this model. First, we construct a Tikhonov regularization problem for the MSOM. Then, we treat this problem using convex optimization techniques, specifically conic quadratic programming, permitting the use of interior point methods. We present numerical examples, which reveal very good results, and we conclude with an outlook to future studies.en_US
dc.description.sponsorshipTurkish Scientific and Technological Research Council of Turkey (TUBITAK)en_US
dc.description.sponsorshipFatma Yerlikaya-Ozkurt is supported by the Turkish Scientific and Technological Research Council of Turkey (TUBITAK) Domestic Doctoral Scholarship Program.en_US
dc.identifier.doi10.3233/IDA-130629
dc.identifier.endpage94en_US
dc.identifier.issn1088-467X
dc.identifier.issn1571-4128
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84892707668
dc.identifier.scopusqualityQ3
dc.identifier.startpage79en_US
dc.identifier.urihttps://doi.org/10.3233/IDA-130629
dc.identifier.urihttps://hdl.handle.net/11468/19214
dc.identifier.volume18en_US
dc.identifier.wosWOS:000329498200006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherIos Pressen_US
dc.relation.ispartofIntelligent Data Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLinear Modelsen_US
dc.subjectOutlier Observationen_US
dc.subjectMean Shift Outliers Modelsen_US
dc.subjectContinuous Optimizationen_US
dc.subjectConic Quadratic Programmingen_US
dc.subjectConvexityen_US
dc.subjectStatisticsen_US
dc.titleAn approach to the mean shift outlier model by Tikhonov regularization and conic programmingen_US
dc.titleAn approach to the mean shift outlier model by Tikhonov regularization and conic programming
dc.typeArticleen_US

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