Title
Bayesian Group-Sparse Modeling and Variational Inference
Abstract
In this paper, we present a general class of multivariate priors for group-sparse modeling within the Bayesian framework. We show that special cases of this class correspond to multivariate versions of several classical priors used for sparse modeling. Hence, this general prior formulation is helpful in analyzing the properties of different modeling approaches and their connections. We derive the estimation procedures with these priors using variational inference for fully Bayesian estimation. In addition, we discuss the differences between the proposed inference and deterministic inference approaches with these priors. Finally, we show the flexibility of this modeling by considering several extensions such as multiple measurements, within-group correlations, and overlapping groups.
Year
DOI
Venue
2014
10.1109/TSP.2014.2319775
Signal Processing, IEEE Transactions  
Keywords
Field
DocType
Bayes methods,estimation theory,inference mechanisms,signal processing,variational techniques,Bayesian group-sparse modeling,estimation procedure,general multivariate signal processing,variational inference,Bayes methods,group-sparsity,variational inference
Frequentist inference,Bayesian inference,Predictive inference,Statistical inference,Artificial intelligence,Bayesian statistics,Mathematical optimization,Pattern recognition,Fiducial inference,Inference,Algorithm,Prior probability,Mathematics
Journal
Volume
Issue
ISSN
62
11
1053-587X
Citations 
PageRank 
References 
28
0.88
26
Authors
3
Name
Order
Citations
PageRank
S. Derin Babacan153426.60
Nakajima, Shinichi262738.83
Minh N. Do31681133.55