Title
Sparse Estimation with Generalized Beta Mixture and the Horseshoe Prior.
Abstract
In this paper, the use of the Generalized Beta Mixture (GBM) and Horseshoe distributions as priors in the Bayesian Compressive Sensing framework is proposed. The distributions are considered in a two-layer hierarchical model, making the corresponding inference problem amenable to Expectation Maximization (EM). We present an explicit, algebraic EM-update rule for the models, yielding two fast and experimentally validated algorithms for signal recovery. Experimental results show that our algorithms outperform state-of-the-art methods on a wide range of sparsity levels and amplitudes in terms of reconstruction accuracy, convergence rate and sparsity. The largest improvement can be observed for sparse signals with high amplitudes.
Year
Venue
Field
2014
CoRR
Algebraic number,Artificial intelligence,Rate of convergence,Beta (finance),Amplitude,Hierarchical database model,Mathematical optimization,Inference,Expectation–maximization algorithm,Algorithm,Prior probability,Mathematics,Machine learning
DocType
Volume
Citations 
Journal
abs/1411.2405
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Zahra Sabetsarvestani100.34
hamidreza amindavar221536.34