Error propagation through generalized high dimensional model representation for data partitioning

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dc.authorid0000-0003-3551-4549
dc.contributor.authorTunga, Mehmet Alperen_US
dc.contributor.authorDemiralp, Metinen_US
dc.date.accessioned2015-07-14T23:48:27Z
dc.date.available2015-07-14T23:48:27Z
dc.date.issued2004
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Computer Engineeringen_US
dc.description.abstractIn many circumstances the explicit form of a multivariate function is not known; rather a finite number of data is listed from some physical experiments. In such cases a function can be constructed only by imposing some analytical structures containing a finite number of adjustable parameters to fit the function with the given values at some specified points. This means interpolation. The given data is collected or produced by some devices or means which may cause unavoidable errors. This results in an uncertainty band for each datum. The propagation of these errors through the interpolation is the focus of this work. It uses a new form of a partitioning technique called Generalized High Dimensional Model Representation (GHDMR). GHDMR is a divide-and-conquer approach starting from a constant component and proceeding upto high variate terms, univariate, bivariate and so on in the representation. The representation is truncated by keeping only constant and univariate terms for approximation. In other words just a single N variate problem is approximated by N univariate problem.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationTunga, M. A. & Demiralp, M. (2004). Error propagation through generalized high dimensional model representation for data partitioning, Presented at the International Conference on Numerical Analysis and Applied Mathematics, 406-409.en_US
dc.identifier.endpage409
dc.identifier.isbn3527405631
dc.identifier.startpage406
dc.identifier.urihttps://hdl.handle.net/11729/664
dc.identifier.wosWOS:000227717500106
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorTunga, Mehmet Alperen_US
dc.institutionauthorid0000-0003-3551-4549
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWiley-V C H Verlag GMBHen_US
dc.relation.ispartofInternational Conference of Numerical Analysis and Applied Mathematicsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleError propagation through generalized high dimensional model representation for data partitioningen_US
dc.typeConference Objecten_US
dspace.entity.typePublication

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