High-dimensional model representations generated from low order terms--lp-RS-HDMR
Copyright 2003 Wiley Periodicals, Inc. J Comput Chem 5: 647-656, 2003
| Veröffentlicht in: | Journal of computational chemistry. - 1984. - 24(2003), 5 vom: 15. Apr., Seite 647-56 |
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| Weitere Verfasser: | , , , , |
| Format: | Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2003
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| Zugriff auf das übergeordnete Werk: | Journal of computational chemistry |
| Schlagworte: | Journal Article |
| Zusammenfassung: | Copyright 2003 Wiley Periodicals, Inc. J Comput Chem 5: 647-656, 2003 High-dimensional model representation (HDMR) is a general set of quantitative model assessment and analysis tools for improving the efficiency of deducing high dimensional input-output system behavior. RS-HDMR is a particular form of HDMR based on random sampling (RS) of the input variables. The component functions in an HDMR expansion are optimal choices tailored to the n-variate function f(x) being represented over the desired domain of the n-dimensional vector x. The high-order terms (usually larger than second order, or equivalently beyond cooperativity between pairs of variables) in the expansion are often negligible. When it is necessary to go beyond the first and the second order RS-HDMR, this article introduces a modified low-order term product (lp)-RS-HDMR method to approximately represent the high-order RS-HDMR component functions as products of low-order functions. Using this method the high-order truncated RS-HDMR expansions may be constructed without directly computing the original high-order terms. The mathematical foundations of lp-RS-HDMR are presented along with an illustration of its utility in an atmospheric chemical kinetics model |
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| Beschreibung: | Date Completed 22.09.2003 Date Revised 12.03.2003 published: Print Citation Status PubMed-not-MEDLINE |
| ISSN: | 1096-987X |