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Low complexity sparse Bayesian learning using combined belief propagation and mean field with a stretched factor graph

Journal Article


Abstract


  • This paper concerns message passing based approaches to sparse Bayesian learning (SBL) with a linear model corrupted by additive white Gaussian noise with unknown variance. With the conventional factor graph, mean field (MF) message passing based algorithms have been proposed in the literature. In this work, instead of using the conventional factor graph, we modify the factor graph by adding some extra hard constraints (the graph looks like being ‘stretched’), which enables the use of combined belief propagation (BP) and MF message passing. We then propose a low complexity BP-MF SBL algorithm based on which an approximate BP-MF SBL algorithm is also developed to further reduce the complexity. Thanks to the use of BP, the BP-MF SBL algorithms show their merits compared with state-of-the-art MF SBL algorithms: they deliver even better performance with much lower complexity compared with the vector-form MF SBL algorithm and they significantly outperform the scalar-form MF SBL algorithm with similar complexity.

UOW Authors


  •   Zhang, Chuanzong (external author)
  •   Yuan, Zhengdao (external author)
  •   Wang, Zhongyong (external author)
  •   Guo, Qinghua

Publication Date


  • 2017

Citation


  • C. Zhang, Z. Yuan, Z. Wang & Q. Guo, "Low complexity sparse Bayesian learning using combined belief propagation and mean field with a stretched factor graph,"^^ Signal Processing, vol. 131, pp. 344-349, 2017.

Scopus Eid


  • 2-s2.0-84985930899

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6199

Has Global Citation Frequency


Number Of Pages


  • 5

Start Page


  • 344

End Page


  • 349

Volume


  • 131

Place Of Publication


  • Netherlands

Abstract


  • This paper concerns message passing based approaches to sparse Bayesian learning (SBL) with a linear model corrupted by additive white Gaussian noise with unknown variance. With the conventional factor graph, mean field (MF) message passing based algorithms have been proposed in the literature. In this work, instead of using the conventional factor graph, we modify the factor graph by adding some extra hard constraints (the graph looks like being ‘stretched’), which enables the use of combined belief propagation (BP) and MF message passing. We then propose a low complexity BP-MF SBL algorithm based on which an approximate BP-MF SBL algorithm is also developed to further reduce the complexity. Thanks to the use of BP, the BP-MF SBL algorithms show their merits compared with state-of-the-art MF SBL algorithms: they deliver even better performance with much lower complexity compared with the vector-form MF SBL algorithm and they significantly outperform the scalar-form MF SBL algorithm with similar complexity.

UOW Authors


  •   Zhang, Chuanzong (external author)
  •   Yuan, Zhengdao (external author)
  •   Wang, Zhongyong (external author)
  •   Guo, Qinghua

Publication Date


  • 2017

Citation


  • C. Zhang, Z. Yuan, Z. Wang & Q. Guo, "Low complexity sparse Bayesian learning using combined belief propagation and mean field with a stretched factor graph,"^^ Signal Processing, vol. 131, pp. 344-349, 2017.

Scopus Eid


  • 2-s2.0-84985930899

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6199

Has Global Citation Frequency


Number Of Pages


  • 5

Start Page


  • 344

End Page


  • 349

Volume


  • 131

Place Of Publication


  • Netherlands