Title
A GAMP-Based Low Complexity Sparse Bayesian Learning Algorithm.
Abstract
In this paper, we present an algorithm for the sparse signal recovery problem that incorporates damped Gaussian generalized approximate message passing (GGAMP) into expectation-maximization-based sparse Bayesian learning (SBL). In particular, GGAMP is used to implement the E-step in SBL in place of matrix inversion, leveraging the fact that GGAMP is guaranteed to converge with appropriate damping. The resulting GGAMP-SBL algorithm is much more robust to arbitrary measurement matrix $boldsymbol{A}$ than the standard damped GAMP algorithm while being much lower complexity than the standard SBL algorithm. We then extend the approach from the single measurement vector case to the temporally correlated multiple measurement vector case, leading to the GGAMP-TSBL algorithm. We verify the robustness and computational advantages of the proposed algorithms through numerical experiments.
Year
Venue
Field
2018
IEEE Trans. Signal Processing
Convergence (routing),Approximation algorithm,Bayesian inference,Matrix (mathematics),Algorithm,Robustness (computer science),Gaussian,Sparse matrix,Mathematics,Message passing
DocType
Volume
Issue
Journal
66
2
Citations 
PageRank 
References 
6
0.45
24
Authors
3
Name
Order
Citations
PageRank
Maher Al-Shoukairi1262.25
Philip Schniter2162093.74
Bhaskar Rao34037449.28