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Bayesian False Discovery Rate Wavelet Shrinkage: Theory and Applications
(Georgia Institute of Technology, 2005)
Statistical inference in the wavelet domain remains vibrant area of contemporary statistical research because desirable properties of wavelet representations and the need of scientific community to process, explore, and ...
Wavelet-based 3-D Multifractal Spectrum with Applications in Breast MRI Images
(Georgia Institute of Technology, 2008)
Breast cancer is the second leading cause of death in women in the United States. Breast Magnetic Resonance Imaging (BMRI) is an emerging tool in breast cancer diagnostics and research, and it is becoming routine in clinical ...
Larger Posterior Mode Wavelet Thresholding and Applications
(Georgia Institute of Technology, 2005-07-01)
This paper explores the thresholding rules induced by a variation of the Bayesian MAP principle. The MAP rules are Bayes actions that maximize the posterior. The proposed rule is thresholding and always picks the mode of ...
Denoising Ozone Concentration Measurements with BAMS Filtering
(Georgia Institute of Technology, 2001)
We propose a method for filtering self-similar geophysical signals corrupted by an antoregressive noise using a combination of non-decimated wavelet transform and a Bayesian model. In the application part, we consider ...