Geodesic
Multidimensional smoothing using hyperbolic interpolatory wavelets
Electronic transactions on numerical analysis, Tome 17 (2004), pp. 168-180
We propose the application of hyperbolic interpolatory wavelets for large-scale -dimensional data

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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

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uses basis functions and it is shown that under sufficient smoothness an approximation error of order

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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},
     year = {2004},
     volume = {17},
     zbl = {1065.65007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__17__a4/}
}
TY  - JOUR
AU  - Hegland,  Markus
AU  - Nielsen,  Ole M.
AU  - Shen,  Zuowei
TI  - Multidimensional smoothing using hyperbolic interpolatory wavelets
JO  - Electronic transactions on numerical analysis
PY  - 2004
SP  - 168
EP  - 180
VL  - 17
UR  - http://geodesic.mathdoc.fr/item/ETNA_2004__17__a4/
LA  - en
ID  - ETNA_2004__17__a4
ER  - 
%0 Journal Article
%A Hegland,  Markus
%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
%V 17
%U http://geodesic.mathdoc.fr/item/ETNA_2004__17__a4/
%G en
%F ETNA_2004__17__a4
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/