Geodesic
Multidimensional smoothing using hyperbolic interpolatory wavelets
Electronic transactions on numerical analysis, Tome 17 (2004), pp. 168-180.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We propose the application of hyperbolic interpolatory wavelets for large-scale -dimensional data $$###$$ fitting. In particular, we show how wavelets can be used as a highly efficient tool for multidimensional smoothing. The grid underlying these wavelets is a sparse grid. The hyperbolic interpolatory wavelet space of level $$###$$ uses basis functions and it is shown that under sufficient smoothness an approximation error of order $$###$\ddot ${\S} ###$\copyright $ can be achieved. The implementation uses the fast wavelet transform and an efficient indexing #"\copyright $###$! )0132 \copyright \%\(' method to access the wavelet coefficients. A practical example demonstrates the efficiency of the approach.$$
Classification : 65C60, 65D10, 65T60
Keywords: sparse grids, predictive modelling, wavelets, smoothing, data mining 
@article{ETNA_2004__17__a4,
     author = {Hegland, Markus and Nielsen, Ole M. and Shen, Zuowei},
     title = {Multidimensional smoothing using hyperbolic interpolatory wavelets},
     journal = {Electronic transactions on numerical analysis},
     pages = {168--180},
     publisher = {mathdoc},
     volume = {17},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__17__a4/}
}
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AU  - Nielsen, Ole M.
AU  - Shen, Zuowei
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%A Nielsen, Ole M.
%A Shen, Zuowei
%T Multidimensional smoothing using hyperbolic interpolatory wavelets
%J Electronic transactions on numerical analysis
%D 2004
%P 168-180
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%I mathdoc
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Hegland, Markus; Nielsen, Ole M.; Shen, Zuowei. Multidimensional smoothing using hyperbolic interpolatory wavelets. Electronic transactions on numerical analysis, Tome 17 (2004), pp. 168-180. http://geodesic.mathdoc.fr/item/ETNA_2004__17__a4/