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conference paper · Zenodo (CERN European Organization for Nuclear Research) · 2009

Non-Convex Priors In Bayesian Compressed Sensing

S. Derin Babacan, Katsaggelos, A., Luis Mancera, Rafael Molina

Cited by 9Open access

Abstract

We propose a novel Bayesian formulation for the reconstruction from compressed measurements. We demonstrate that high-sparsity enforcing priors based on lp-norms, with 0 < p ≤ 1, can be used within a Bayesian framework by majorization-minimization methods. By employing a fully Bayesian analysis of the compressed sensing system and a variational Bayesian analysis for inference, the proposed framework provides model parameter estimates along with the unknown signal, as well as the uncertainties of these estimates. We also show that some existing methods can be derived as special cases of the proposed framework. Experimental results demonstrate the high performance of the proposed algorithm in comparison with commonly used methods for compressed sensing recovery. 1.

Cite this paper

APA 7

Babacan, S. D., Katsaggelos, A., Mancera, L., & Molina, R. (2009). Non-Convex Priors In Bayesian Compressed Sensing. Zenodo (CERN European Organization for Nuclear Research), 110–114. https://doi.org/10.5281/zenodo.41744

MLA 9

Babacan, S. Derin, et al. “Non-Convex Priors In Bayesian Compressed Sensing.” Zenodo (CERN European Organization for Nuclear Research), 2009, pp. 110–14, https://doi.org/10.5281/zenodo.41744.

Chicago

Babacan, S. Derin, A. Katsaggelos, Luis Mancera, and Rafael Molina. 2009. “Non-Convex Priors In Bayesian Compressed Sensing.” Zenodo (CERN European Organization for Nuclear Research): 110–14. https://doi.org/10.5281/zenodo.41744.

Harvard

Babacan, S.D. et al. (2009) ‘Non-Convex Priors In Bayesian Compressed Sensing’, Zenodo (CERN European Organization for Nuclear Research), pp. 110–114. Available at: https://doi.org/10.5281/zenodo.41744.

BibTeX
@article{babacan2009convex,
  title = {{Non-Convex Priors In Bayesian Compressed Sensing}},
  author = {Babacan, S. Derin and Katsaggelos, A. and Mancera, Luis and Molina, Rafael},
  journal = {Zenodo (CERN European Organization for Nuclear Research)},
  pages = {110--114},
  year = {2009},
  doi = {10.5281/zenodo.41744}
}

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