Frequentist and Bayesian inference for Gaussian-log-Gaussian wavelet trees, and statistical signal processing applications

Abstract

We introduce new estimation methods for a sub-class of the Gaussian scale mixture models for wavelet trees by Wainwright, Simoncelli & Willsky that rely on modern results for composite likelihoods and approximate Bayesian inference. Our methodology is illustrated for denoising and edge detection problems in two-dimensional images.