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Sharp estimates for the covering numbers of the Weierstrass fractal kernel.

Authors :
Azevedo, Douglas
Gonzalez, Karina
Jordão, Thaís
Source :
Journal of Complexity. Feb2023, Vol. 74, pN.PAG-N.PAG. 1p.
Publication Year :
2023

Abstract

In this paper, we present sharp estimates for the covering numbers of the embedding of the reproducing kernel Hilbert space (RKHS) associated with the Weierstrass fractal kernel into the space of continuous functions. The method we apply is based on the characterization of the infinite-dimensional RKHS generated by the Weierstrass fractal kernel and it requires estimates for the norm operator of orthogonal projections on the RKHS. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0885064X
Volume :
74
Database :
Academic Search Index
Journal :
Journal of Complexity
Publication Type :
Academic Journal
Accession number :
160336375
Full Text :
https://doi.org/10.1016/j.jco.2022.101692