194 citations · 351 across the 6 of their papers we have counts for
4 papers · 1 filter
Subsampling needlet coefficients on the sphere
P. Baldi, G. Kerkyacharian, D. Marinucci +1
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (called needlets) for statistical inference procedures on spherical random fields; the investigati…
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus
Paolo Baldi, Gérard Kerkyacharian, Domenico Marinucci +1
We prove a CLT for skewness and kurtosis of the wavelets coefficients of a stationary field on the torus. The results are in the framework of the fixed-domain asymptotics, i.e. we…
Asymptotics for spherical needlets
P. Baldi, G. Kerkyacharian, D. Marinucci +1
We investigate invariant random fields on the sphere using a new type of spherical wavelets, called needlets. These are compactly supported in frequency and enjoy excellent localiz…
Thresholding in Learning Theory
Gerard Kerkyacharian, Dominique Picard
In this paper we investigate the problem of learning an unknown bounded function. We be emphasize special cases where it is possible to provide very simple (in terms of computation…