Biomedical Imaging GroupSTI
English only   BIG > Publications > Message Passing

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

MMSE Denoising of Sparse Lévy Processes via Message Passing

U. Kamilov, A. Amini, M. Unser

Proceedings of the Thirty-Seventh IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'12), 京都市 (Kyoto), Japan, March 25-30, 2012, pp. 3637-3640.

Many recent algorithms for sparse signal recovery can be interpreted as maximum-a-posteriori (MAP) estimators relying on some specific priors. From this Bayesian perspective, state-of-the-art methods based on discrete-gradient regularizers, such as total-variation (TV) minimization, implicitly assume the signals to be sampled instances of Lévy processes with independent Laplace-distributed increments. By extending the concept to more general Lévy processes, we propose an efficient minimum-mean-squared error (MMSE) estimation method based on message-passing algorithms on factor graphs. The resulting algorithm can be used to benchmark the performance of the existing or design new algorithms for the recovery of sparse signals.

AUTHOR="Kamilov, U. and Amini, A. and Unser, M.",
TITLE="{MMSE} Denoising of Sparse {L}{\'{e}}vy Processes via Message
BOOKTITLE="Proceedings of the Thirty-Seventh {IEEE} International
        Conference on Acoustics, Speech, and Signal Processing
address="Kyoto, Japan",
month="March 25-30,",

© 2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.