Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation

We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions. Compactly supported periodic Chui-Wang wavelets are used for the tensorized hyperbolic wavelet basis on the torus. With a variable transformation, we are...

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Bibliographic Details
Published in:	Advances in computational mathematics Vol. 50; no. 3; p. 53
Main Authors:	Potts, Daniel, Weidensager, Laura
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Approximation Computational Mathematics and Numerical Analysis Computational Science and Engineering Density functions Least squares method Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Periodic functions Polynomials Statistical analysis Toruses Transformations (mathematics) Variance analysis Visualization Wavelets ANOVA decomposition 41A25 Random sampling 41A63 Variable transformations 65D15 Least squares approximation 65T60
ISSN:	1019-7168, 1572-9044
Online Access:	Get full text
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