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Abstract: We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in non-parametric regression. A prior distribution is imposed on the wavelet coe#cients of the unknown response function, designed to capture the sparseness of wavelet expansion common to most applications. For the prior speci#ed, the posterior median yields a thresholding procedure. Our prior model for the underlying function can be adjusted to give functions falling in any speci#c Besov space. We ... (Update)
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BibTeX entry: (Update)
F. Abramovich, T. Sapatinas, and B. Silverman, "Wavelet Thresholding via a Bayesian Approach," preprint, 1996. http://citeseer.ist.psu.edu/abramovich96wavelet.html More
@unpublished{ abramovich96wavelet,
author = "Felix Abramovich and T. Sapatinas and Bernard Silverman",
title = "Wavelet thresholding via a {B}ayesian approach",
year = "1996",
url = "citeseer.ist.psu.edu/abramovich96wavelet.html" }
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1064 A theory for multiresolution signal decomposition: the wavel.. (context) - Mallat - 1989
227 Adapting to unknown smoothness via wavelet shrinkage - Donoho, Johnstone - 1995
198 Wavelet Shrinkage: Asymptopia - Donoho, Johnstone et al. - 1995
178 Wavelets and Operators (context) - Meyer - 1992
150 Wavelet-based statistical signal processing using hidden Mar.. - Crouse, Nowak et al. - 1998
134 Minimax estimation via wavelet shrinkage - Donoho, Johnstone - 1997
127 Wavelet threshold estimators for data with correlated noise - Johnstone, Silverman - 1997
106 Compression of wavelet decompositions (context) - DeVore, Jawerth et al. - 1992
92 An overview of wavelet based multiresolution analyses - Jawerth, Sweldens - 1994
90 Adaptive Bayesian wavelet shrinkage (context) - Chipman, Kolaczyk et al. - 1997
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64 Non-linear wavelet shrinkage with Bayes rules and Bayes fact.. - Vidakovic - 1994
60 The discrete wavelet transform in S - Nason, Silverman - 1994
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46 Wavelet shrinkage using cross-validation - Nason - 1996
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28 noising using wavelets and cross-validation (context) - Weyrich, Warhola - 1995
22 Change-point approach to data analytic wavelet thresholding - Ogden, Parzen - 1996
19 Data dependentwavelet thresholding in nonparametric regressi.. - Ogden, Parzen - 1996
16 New York: Springer-Verlag (context) - Karr - 1993
9 Comptes Rendus Acad (context) - Cohen, Daubechies et al. - 1993
7 The WaveThresh Package: Wavelet Transform and Thresholding S.. (context) - Nason - 1993
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3 Ideal spatial adaption by wavelet shrinkage (context) - the, Society et al. - 1994
3 Choise of the threshold parameter in wavelet function estima.. (context) - Nason - 1995
3 Adaptive thresholding of wavelet coe#cients (context) - Abramovich, Benjamini - 1996
3 Estimation of the mean of a multivariate normal distribution (context) - the, Society et al. - 1981
2 asymptotic minimax and sparse wavelet priors (context) - Johnstone - 1994
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