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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.

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