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Journal of the American Statistical Association Volume 93, 1998 - Issue 441
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Theory and Method

Nonlinear Wavelet Shrinkage with Bayes Rules and Bayes Factors

Brani Vidakovic Institute of Statistics and Decision Sciences, Duke University, Durham, NC, 27708, USA
Pages 173-179 | Received 01 Oct 1994, Published online: 17 Feb 2012

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Alex Rodrigo dos Santos Sousa. (2022) Bayesian wavelet shrinkage with logistic prior. Communications in Statistics - Simulation and Computation 51:8, pages 4700-4714.
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Peter Müller & Brani Vidakovic. (1998) Bayesian Inference with Wavelets: Density Estimation. Journal of Computational and Graphical Statistics 7:4, pages 456-468.
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HughA. Chipman, EricD. Kolaczyk & RobertE. McCulloch. (1997) Adaptive Bayesian Wavelet Shrinkage. Journal of the American Statistical Association 92:440, pages 1413-1421.
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Crossref
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Crossref
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Crossref
Madhu S. Nair & M. Wilscy. (2008) Modified Method for Denoising Color Images using Fuzzy Approach. Modified Method for Denoising Color Images using Fuzzy Approach.
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Crossref
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Crossref
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Crossref
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Crossref
HUIYU ZHOU, TANGWEI LIU, FAQUAN LIN, YUSHENG PANG & JI WU. (2011) IMAGE RESTORATION AND DETAIL PRESERVATION BY BAYESIAN ESTIMATION. International Journal of Image and Graphics 07:03, pages 497-514.
Crossref
Stefan Schulte, Valrie De Witte & Etienne E. Kerre. (2007) A Fuzzy Noise Reduction Method for Color Images. IEEE Transactions on Image Processing 16:5, pages 1425-1436.
Crossref
Xiaomo Jiang, Sankaran Mahadevan & Hojjat Adeli. (2007) Bayesian wavelet packet denoising for structural system identification. Structural Control and Health Monitoring 14:2, pages 333-356.
Crossref
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Crossref
Vera L. Bulaevskaya & Gary W. Oehlert. (2006) A penalized likelihood approach to magnetic resonance image reconstruction. Statistics in Medicine 26:2, pages 352-374.
Crossref
E. Fossgaard & T. Fla. (2006) An Invariant Bayesian Model Selection Principle for Gaussian Data in a Sparse Representation. IEEE Transactions on Information Theory 52:8, pages 3438-3455.
Crossref
Marianna Pensky. (2006) Frequentist optimality of Bayesian wavelet shrinkage rules for Gaussian and non-Gaussian noise. The Annals of Statistics 34:2.
Crossref
A. Pizurica & W. Philips. (2006) Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising. IEEE Transactions on Image Processing 15:3, pages 654-665.
Crossref
D. Van de Ville, T. Blu & M. Unser. (2006) Surfing the brain. IEEE Engineering in Medicine and Biology Magazine 25:2, pages 65-78.
Crossref
A. Benazza-Benyahia & J.-C. Pesquet. (2005) Building robust wavelet estimators for multicomponent images using Stein's principle. IEEE Transactions on Image Processing 14:11, pages 1814-1830.
Crossref
Mahlet G. Tadesse, Joseph G. Ibrahim, Marina Vannucci & Robert Gentleman. (2005) Wavelet Thresholding with Bayesian False Discovery Rate Control. Biometrics 61:1, pages 25-35.
Crossref
J.M. Fadili & L. Boubchir. (2005) Analytical form for a Bayesian wavelet estimator of images using the Bessel K form densities. IEEE Transactions on Image Processing 14:2, pages 231-240.
Crossref
Fabrizio Ruggeri & Brani Vidakovic. 2005. Bayesian Thinking - Modeling and Computation. Bayesian Thinking - Modeling and Computation 315 338 .
Paul Damien. 2005. Bayesian Thinking - Modeling and Computation. Bayesian Thinking - Modeling and Computation 279 314 .
Eero P. Simoncelli. 2005. Handbook of Image and Video Processing. Handbook of Image and Video Processing 431 441 .
Felix Abramovich, Umberto Amato & Claudia Angelini. (2004) On Optimality of Bayesian Wavelet Estimators. Scandinavian Journal of Statistics 31:2, pages 217-234.
Crossref
Vincent Rivoirard. (2004) Thresholding procedure with priors based on Pareto distributions. Test 13:1, pages 213-246.
Crossref
Tangwei Liu, Huiyu Zhou, Faquan Lin, Yusheng Pang & Ji Wu. (2004) Image denoising and detail preservation by probabilistic models. Image denoising and detail preservation by probabilistic models.
S. Ray & B.K. Mallick. (2003) A bayesian transformation model for wavelet shrinkage. IEEE Transactions on Image Processing 12:12, pages 1512-1521.
Crossref
J. Portilla, V. Strela, M.J. Wainwright & E.P. Simoncelli. (2003) Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Transactions on Image Processing 12:11, pages 1338-1351.
Crossref
Hamid Krim. 2003. Wiley Encyclopedia of Telecommunications. Wiley Encyclopedia of Telecommunications.
A. Pizurica, V. Zlokolica & W. Philips. (2003) Combined wavelet domain and temporal video denoising. Combined wavelet domain and temporal video denoising.
Tao Li, Qi Li, Shenghuo Zhu & Mitsunori Ogihara. (2002) A survey on wavelet applications in data mining. ACM SIGKDD Explorations Newsletter 4:2, pages 49-68.
Crossref
A.S. Willsky. (2002) Multiresolution Markov models for signal and image processing. Proceedings of the IEEE 90:8, pages 1396-1458.
Crossref
Paul Addison. 2002. The Illustrated Wavelet Transform Handbook. The Illustrated Wavelet Transform Handbook.
C. Holmes & D.G.T. Denison. (2002) Perfect sampling for the wavelet reconstruction of signals. IEEE Transactions on Signal Processing 50:2, pages 337-344.
Crossref
. 2002. An Introduction to Wavelets and Other Filtering Methods in Finance and Economics. An Introduction to Wavelets and Other Filtering Methods in Finance and Economics 323 348 .
J.-L. Starck, F. Murtagh, P. Querre & F. Bonnarel. (2001) Entropy and astronomical data analysis: Perspectives from multiresolution analysis. Astronomy & Astrophysics 368:2, pages 730-746.
Crossref
C.B.R. Ferreira & D.L. Borges. (2001) Automated mammogram classification using a multiresolution pattern recognition approach. Automated mammogram classification using a multiresolution pattern recognition approach.
M.A.T. Figueiredo & R.D. Nowak. (2001) Wavelet-based image estimation: an empirical Bayes approach using Jeffrey's noninformative prior. IEEE Transactions on Image Processing 10:9, pages 1322-1331.
Crossref
A. Achim, A. Bezerianos & P. Tsakalides. (2001) Novel Bayesian multiscale method for speckle removal in medical ultrasound images. IEEE Transactions on Medical Imaging 20:8, pages 772-783.
Crossref
Yufang Bao & Hamid Krim. 2001. Wavelets in Signal and Image Analysis. Wavelets in Signal and Image Analysis 169 192 .
Terence Tao & Brani Vidakovic. (2000) Almost Everywhere Behavior of General Wavelet Shrinkage Operators. Applied and Computational Harmonic Analysis 9:1, pages 72-82.
Crossref
. (2000) Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512). Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).
I. Garcia, R. Prado & P. Gomis. (2000) Wavelet based Bayesian models for characterizing chagasic high-resolution ECG signals. Wavelet based Bayesian models for characterizing chagasic high-resolution ECG signals.
S.G. Chang, Bin Yu & M. Vetterli. (2000) Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing 9:9, pages 1532-1546.
Crossref
M. Hansen & Bin Yu. (2000) Wavelet thresholding via MDL for natural images. IEEE Transactions on Information Theory 46:5, pages 1778-1788.
Crossref
Brani Vidakovic. 1999. Statistical Modeling by Wavelets. Statistical Modeling by Wavelets 345 370 .
H. Krim & I.C. Schick. (1999) Minimax description length for signal denoising and optimized representation. IEEE Transactions on Information Theory 45:3, pages 898-908.
Crossref
K.E. Timmermann & R.D. Nowak. (1999) Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging. IEEE Transactions on Information Theory 45:3, pages 846-862.
Crossref
Taeksoo Shin & Ingoo Han. (1999) Optimal signal multi-resolution by genetic algorithms to support artificial neural network models for financial forecasting. Optimal signal multi-resolution by genetic algorithms to support artificial neural network models for financial forecasting.
D. Leporini & H. Krim. (1999) Bayesian wavelet denoising using Besov priors. Bayesian wavelet denoising using Besov priors.
Paul Yau & Robert Kohn. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 95 108 .
Hugh A. Chipman & Lara J. Wolfson. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 83 94 .
Eric D. Kolaczyk. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 51 66 .
Felix Abramovich & Theofanis Sapatinas. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 33 50 .
Hsin-Cheng Huang & Noel Cressie. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 203 222 .
Peter Müller & Brani Vidakovic. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 187 202 .
Marina Vannucci & Fabio Corradi. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 173 186 .
David Leporini, Jean-Christophe Pesquet & Hamid Krim. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 155 172 .
Fabrizio Ruggeri. 1999. Bayesian Inference in Wavelet-Based Models. Bayesian Inference in Wavelet-Based Models 139 154 .
B. Vidakovic & C.B. Lozoya. (1998) On time-dependent wavelet denoising. IEEE Transactions on Signal Processing 46:9, pages 2549-2554.
Crossref
Brani Vidakovic. 1998. Practical Nonparametric and Semiparametric Bayesian Statistics. Practical Nonparametric and Semiparametric Bayesian Statistics 133 155 .
E.D. Kolaczyk. (1997) Methods for analyzing certain signals and images in astronomy using Haar wavelets. Methods for analyzing certain signals and images in astronomy using Haar wavelets.

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