Hybrid high dimensional model representation (HHDMR) on the partitioned data
dc.authorid | 0000-0003-3551-4549 | |
dc.contributor.author | Tunga, Mehmet Alper | en_US |
dc.contributor.author | Demiralp, Metin | en_US |
dc.date.accessioned | 2015-01-15T23:00:36Z | |
dc.date.available | 2015-01-15T23:00:36Z | |
dc.date.issued | 2006-01-01 | |
dc.department | Işık Üniversitesi, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
dc.department | Işık University, Faculty of Engineering, Department of Computer Engineering | en_US |
dc.description.abstract | A multivariate interpolation problem is generally constructed for appropriate determination of a multivariate function whose values are given at a finite number of nodes of a multivariate grid. One way to construct the solution of this problem is to partition the given multivariate data into low-variate data. High dimensional model representation (HDMR) and generalized high dimensional model representation (GHDMR) methods are used to make this partitioning. Using the components of the HDMR or the GHDMR expansions the multivariate data can be partitioned. When a cartesian product set in the space of the independent variables is given, the HDMR expansion is used. On the other band, if the nodes are the elements of a random discrete data the GHDMR expansion is used instead of HDMR. These two expansions work well for the multivariate data that have the additive nature. If the data have multiplicative nature then factorized high dimensional model representation (FHDMR) is used. But in most cases the nature of the given multivariate data and the sought multivariate function have neither additive nor multiplicative nature. They have a hybrid nature. So, a new method is developed to obtain better results and it is called hybrid high dimensional model representation (HHDMR). This new expansion includes both the HDMR (or GHDMR) and the FHDMR expansions through a hybridity parameter. In this work, the general structure of this hybrid expansion is given. It has tried to obtain the best value for the hybridity parameter. According to this value the analytical structure of the sought multivariate function can be determined via HHDMR. | en_US |
dc.description.version | Publiher's Version | en_US |
dc.identifier.citation | Tunga, M. A. & Demiralp, M. (2006). Hybrid high dimensional model representation (HHDMR) on the partitioned data. Journal of Computational and Applied Mathematics, 185(1), 107-132. doi:10.1016/j.cam.2005.01.030 | en_US |
dc.identifier.doi | 10.1016/j.cam.2005.01.030 | |
dc.identifier.endpage | 132 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.issn | 1879-1778 | |
dc.identifier.issue | 1 | |
dc.identifier.scopus | 2-s2.0-24144485429 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.startpage | 107 | |
dc.identifier.uri | https://hdl.handle.net/11729/237 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.cam.2005.01.030 | |
dc.identifier.volume | 185 | |
dc.identifier.wos | WOS:000232084200006 | |
dc.identifier.wosquality | Q1 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Tunga, Mehmet Alper | en_US |
dc.institutionauthorid | 0000-0003-3551-4549 | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | High dimensional model representation | en_US |
dc.subject | Factorized high dimensional model representation | en_US |
dc.subject | Multivariate functions | en_US |
dc.subject | Interpolation | en_US |
dc.subject | Multidimensional problems | en_US |
dc.subject | Approximation | en_US |
dc.subject | Optimization | en_US |
dc.subject | Approximation theory | en_US |
dc.subject | Data reduction | en_US |
dc.subject | Functions | en_US |
dc.subject | Mathematical models | en_US |
dc.subject | Factorized high dimensional model representation (FHDMR) | en_US |
dc.subject | Hybrid high dimensional model representation (HHDMR) | en_US |
dc.subject | Multivariable systems | en_US |
dc.title | Hybrid high dimensional model representation (HHDMR) on the partitioned data | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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