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Bayesian compressed sensing with heterogeneous side information

De Castro Mota, JF; Zimos, E; Deligiannis, N; Rodrigues, M; (2016) Bayesian compressed sensing with heterogeneous side information. In: Proceedings of the 2016 Data Compression Conference (DCC). (pp. pp. 191-200). IEEE Green open access

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Abstract

The classical compressed sensing (CS) paradigm can be modified so as to leverage a signal correlated to the signal of interest, called side information, which is assumed to be provided a priori at the decoder in order to aid reconstruction. In this work, we propose a novel CS reconstruction method based on belief propagation principles, which manages to exploit side information generated from a diverse (or heterogeneous) data source by using the statistical model of copula functions. Through simulations, we demonstrate that the proposed method yields significant reduction in the mean-squared error of the reconstructed signal as compared to state-of-the-art methods in classical compressed sensing and compressed sensing with side information.

Type: Proceedings paper
Title: Bayesian compressed sensing with heterogeneous side information
Event: 2016 Data Compression Conference (DCC)
Location: Snowbird (UT), USA
Dates: 30th March - 1st April 2016
ISBN-13: 978-1-5090-1853-6
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/DCC.2016.44
Publisher version: https://doi.org/10.1109/DCC.2016.44
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Silicon, Sensors, Sparse matrices, Image reconstruction, Bayes methods, Compressed sensing, Probability density function
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1529229
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