Abstract | ||
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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 |
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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 Babacan | 1 | 534 | 26.60 |
Nakajima, Shinichi | 2 | 627 | 38.83 |
Minh N. Do | 3 | 1681 | 133.55 |