Efficient functional ANOVA through wavelet-domain Markov groves
作者： Li Ma , Jacopo Soriano
DOI: 10.1080/01621459.2017.1286241
关键词:
摘要: We introduce a wavelet-domain method for functional analysis of variance (fANOVA). It is based on Bayesian hierarchical model that employs graphical hyperprior in the form Markov grove (MG...
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Gabriel Peyré, S. G. Mallat, A Wavelet Tour of Signal Processing : The Sparse Way Elsevier/Academic Press. ,(2008)
Jin-Ting Zhang, Analysis of Variance for Functional Data ,(2013)
Marco A.R. Ferreira, Herbert K.H. Lee, Multiscale Modeling: A Bayesian Perspective ,(2007)
Donald B. Percival, Andrew T. Walden, Wavelet Methods for Time Series Analysis ,(2006)
Yuzo Maruyama, A Bayes factor with reasonable model selection consistency for ANOVA model arXiv: Methodology. ,(2009)
Vladimir Katkovnik, Alessandro Foi, Karen Egiazarian, Jaakko Astola, From Local Kernel to Nonlocal Multiple-Model Image Denoising International Journal of Computer Vision. ,vol. 86, pp. 1- 32 ,(2010) , 10.1007/S11263-009-0272-7
Iain M. Johnstone, Bernard W. Silverman, Needles and straw in haystacks: Empirical Bayes estimates of possibly sparse sequences Annals of Statistics. ,vol. 32, pp. 1594- 1649 ,(2004) , 10.1214/009053604000000030
P. J Brown, T Fearn, M Vannucci, Bayesian wavelet regression on curves with application to a spectroscopic calibration problem Journal of the American Statistical Association. ,vol. 96, pp. 398- 408 ,(2001) , 10.1198/016214501753168118
Jörg Polzehl, Vladimir Spokoiny, Propagation-Separation Approach for Local Likelihood Estimation Probability Theory and Related Fields. ,vol. 135, pp. 335- 362 ,(2006) , 10.1007/S00440-005-0464-1
J. Lucas McKay, Torrence D. J. Welch, Brani Vidakovic, Lena H. Ting, Statistically significant contrasts between EMG waveforms revealed using wavelet-based functional ANOVA. Journal of Neurophysiology. ,vol. 109, pp. 591- 602 ,(2013) , 10.1152/JN.00447.2012