Wavelet Shrinkage: Asymptopia?

Summary

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.

Keywords

Shrinkage, Wavelet, Computer science, Mathematics, Artificial intelligence

References

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Cited by

Wavelets: software and applicationsGeert Uytterhoeven — 1999
Image enhancement by nonlinear wavelet processingJan E. Odegard — 1994
STOCHASTIC METHODS AND THEIR APPLICATIONSJ. Gani, E. Seneta, Rustam Ibragimov — 2004
WAVELET SHRINKAGE ESTIMATION OF CERTAIN POISSON INTENSITY SIGNALS USING CORRECTED THRESHOLDSEric D. Kolaczyk — 1999
Estimation non paramétrique pour les modèles autorégressifsOuerdia Arkoun — 2009
Modality, runs, strings and waveletsPaul Davies, A. Kovac — 1999
Image Denoising Using Wavelet ThresholdingLakhwinder Kaur, Savita Gupta, R. C. Chauhan — 2002
Diffracted multiple attenuation using wavelet filter in the focused domainZhou Yu, Nurul Kabir, Ken H. Matson — 2005
WAVELET-BASED SIGNAL ANALYSIS WITH MULTIPLE SAMPLING RATESPeter A. Hall, Spiridon Penev — 2003
Arrhythmia detection from heart rate variability by SDFA method.Anthony R. Olsen — 2016
A Lung Sound Category Recognition Method Based on Wavelet Decomposition and BP Neural NetworkManuel Jesús Dolz Lago — 2019
Smoothness in Bayesian Non-parametric Regression with WaveletsMarco Di Zio, Arnoldo Frigessi — 1999
On minimax density estimation on RAnatoli Juditsky, Sophie Lambert‐Lacroix — 2001
High-energy noise attenuation of seismic data in the wavelet-transform domainZhou Yu, Paul Garossino — 2005
Semantics-sensitive integrated matching for picture libraries and biomedical image databasesGio Wiederhold, James Z. Wang — 2000
Restauration d'images dégradées par un bruit Poisson-Gauss. (Image restoration in the presence of Poisson-Gaussian noise)Anna Jezierska — 2013
Propriétés qualitatives de solutions de quelques équations paraboliques semi-linéairesLorenzo Brandolese — 2010
Nonparametric Methods in Spot Volatility EstimationAnselm Johannes Schmidt-Hieber — 2011
An Architecture for Non-Linear Noise Filtering Via Piecewise Linear CompressionΚωνσταντίνος Κωνσταντινίδης, BALAS K. NATARAJAN — 1994
Lossy Compression of Cardiac X-Ray Images Based on Acquisition NoiseFrederik J. de Bruijn, M. Schrijver, Cornelis H. Slump — 1998

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