@inproceedings{1abdf9e84b384e079a72409292f91cbc,
title = "Statistical mechanics approach to sparse noise denoising",
abstract = "Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the ℓ1-norm based convex optimization algorithm exhibits a phase transition between the possibility of perfect and imperfect reconstruction. Conditions characterizing this threshold are derived and the mean square error of the estimate is obtained for the case when perfect reconstruction is not possible. Detailed calculations are provided to expose the mathematical tools to a wide audience.",
keywords = "replica method, sparse signals and noise, statistical mechanical analysis",
author = "Mikko Vehkapera and Yoshiyuki Kabashima and Saikat Chatterjee",
year = "2013",
month = jan,
day = "1",
language = "English",
isbn = "978-1-4799-3687-8",
series = "European Signal Processing Conference",
publisher = "IEEE Institute of Electrical and Electronic Engineers",
pages = "241--245",
booktitle = "2013 Proceedings of the 21st European Signal Processing Conference, EUSIPCO 2013",
address = "United States",
note = "2013 21st European Signal Processing Conference, EUSIPCO 2013 ; Conference date: 09-09-2013 Through 13-09-2013",
}