G
Gerard Kerkyacharian
Researcher at Paris Diderot University
Publications - 78
Citations - 6619
Gerard Kerkyacharian is an academic researcher from Paris Diderot University. The author has contributed to research in topics: Thresholding & Wavelet. The author has an hindex of 35, co-authored 78 publications receiving 6289 citations. Previous affiliations of Gerard Kerkyacharian include University of Picardie Jules Verne & Paris West University Nanterre La Défense.
Papers
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Journal ArticleDOI
Wavelet Shrinkage: Asymptopia?
TL;DR: A method for curve estimation based on n noisy data: translate the empirical wavelet coefficients towards the origin by an amount √(2 log n) /√n and draw loose parallels with near optimality in robustness and also with the broad near eigenfunction properties of wavelets themselves.
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Density estimation by wavelet thresholding
TL;DR: In this article, the authors explore the asymptotic properties of estimators based on thresholding of empirical wavelet coefficients and show that the minimax linear estimators are suboptimal by polynomial powers of n.
Book
Wavelets, Approximation, and Statistical Applications
TL;DR: In this paper, the Haar basis wavelet system is used for multiresolution analysis and wavelet thresholding, and a cascade algorithm is used to transform wavelets into a wavelet transform.
Journal ArticleDOI
Density estimation in Besov spaces
TL;DR: In this paper, a wavelets characterization of Besov spaces is used to reduce the question of density estimation with Besov constraints to a problem in a sequences space, leading to very natural proofs.
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Wavelet deconvolution in a periodic setting
TL;DR: In this paper, a convolution operator can either be smooth (polynomial decay of the Fourier transform) or irregular (such as the convolution with a box-car).