Spin Needlets for Cosmic Microwave Background Polarization Data Analysis (2008)
Geller, Daryl, Hansen, Frode K., Marinucci, Domenico, Kerkyacharian, Gerard, Picard, Dominique
Scalar wavelets have been used extensively in the analysis of Cosmic Microwave Background (CMB) temperature maps. Spin needlets are a new form of (spin) wavelets which were introduced in the...
Subsampling Needlet Coefficients on the Sphere (2007)
Baldi, Paolo, Kerkyacharian, Gerard, Marinucci, Domenico, Picard, Dominique
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (so-called needlets) for statistical inference procedures on spherical random fields; the results were mainly...
Thresholding in Learning Theory (2005)
Kerkyacharian, Gerard, Picard, Dominique
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) estimates...
Thresholding in Learning Theory (2005)
Kerkyacharian, Gerard, Picard, Dominique
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) estimates...
Thresholding in Learning Theory (2005)
Kerkyacharian, Gerard, Picard, Dominique
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) estimates...
Thresholding in Learning Theory (2005)
Kerkyacharian, Gerard, Picard, Dominique
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) estimates...
Thresholding in Learning Theory (2005)
Kerkyacharian, Gerard, Picard, Dominique
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) estimates...
Wavelet Deconvolution in a Periodic Setting (2003)
Iain M. Johnstone, Gerard Kerkyacharian, Dominique Picard, Marc Raimondo
In this paper, we present an inverse estimation procedure which combines Fourier analysis with wavelet expansion. In the periodic setting, our method can recover a blurred function observed in white...
Convergence Properties Of Wavelet Estimators (2002)
Peter Hall, Gerard Kerkyacharian, Dominique Picard
Adaptive sampling schemes with multiple sampling rates have the potential to significantly improve the e#ciency and e#ectiveness of methods for signal analysis. For example, in the case of equipment...
Maximal Spaces with given rate of convergence for thresholding algorithms (1999)
Albert Cohen, Ronald Devore, Gerard Kerkyacharian, Dominique Picard
this paper is to discuss the existence and the nature of maximal spaces in the context of nonlinear methods based on thresholding (or shrinkage) procedures. Before going further, some remarks should...
Maximal Spaces with given rate of convergence for thresholding algorithms (1999)
Albert Cohen, Ronald Devore, Gerard Kerkyacharian, Dominique Picard
this paper is to discuss the existence and the nature of maximal spaces in the context of nonlinear methods based on thresholding (or shrinkage) procedures. Before going further, some remarks should...
Maximal Spaces with given rate of convergence for thresholding algorithms (1999)
Albert Cohen, Ronald Devore, Gerard Kerkyacharian, Dominique Picard
this paper is to discuss the existence and the nature of maximal spaces in the context of nonlinear methods based on thresholding (or shrinkage) procedures. Before going further, some remarks should...