Multicut-HDMR with an application to an ionospheric model

Copyright 2004 Wiley Periodicals, Inc.

Bibliographische Detailangaben
Veröffentlicht in:Journal of computational chemistry. - 1984. - 25(2004), 9 vom: 15. Juli, Seite 1149-56
1. Verfasser: Li, Genyuan (VerfasserIn)
Weitere Verfasser: Schoendorf, Jacqueline, Ho, Tak-San, Rabitz, Herschel
Format: Aufsatz
Sprache:English
Veröffentlicht: 2004
Zugriff auf das übergeordnete Werk:Journal of computational chemistry
Schlagworte:Journal Article
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520 |a A new High Dimensional Model Representation (HDMR) tool, Multicut-HDMR, is introduced and applied to an ionospheric electron density model. HDMR is a general set of quantitative model assessment and analysis tools for improving the efficiency of deducing high-dimensional input-output system behavior. HDMR describes an output [f(x)] in terms of its input variables (x = [x(1), x(2), em leader, x(n)]) via a series of finite, hierarchical, correlated function expansions. Various forms of HDMR are constructed for different purposes such as modeling laboratory or field data, or reproducing a complicated mathematical model. The Cut-HDMR technique, which expresses f(x) with respect to a specified reference point x in the input space, is appropriate when the input space is sampled in an orderly fashion. However, if the desired domain of the input space is too large, the HDMR function expansion may not converge, and Cut-HDMR will be unable to accurately approximate f(x). The new Multicut-HDMR technique addresses this problem through the use of multiple reference points in the input space 
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700 1 |a Ho, Tak-San  |e verfasserin  |4 aut 
700 1 |a Rabitz, Herschel  |e verfasserin  |4 aut 
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