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 l(1)-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.
Year
Venue
Keywords
2013
2013 PROCEEDINGS OF THE 21ST EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO)
sparse signals and noise, replica method, statistical mechanical analysis
DocType
Volume
Citations 
Conference
abs/1303.4266
1
PageRank 
References 
Authors
0.36
11
3
Name
Order
Citations
PageRank
Mikko Vehkaperä110315.36
Yoshiyuki Kabashima213627.83
Saikat Chatterjee332040.34