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General foundations of high-dimensional model representations. (English) Zbl 0957.93004
A family of multivariate representations is introduced to capture the input-output relationships of high-dimensional physical systems with many input variables. Here, the notion of a model also encompasses input-output relationships developed with Lab experiments and the HDMR concepts are equally applicable in this domanin. Selected applications are also nicely presented along with utility discussions.

MSC:
93A30 Mathematical modelling of systems (MSC2010)
00A71 General theory of mathematical modeling
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