Title
Nonparametric Sparse Representation
Abstract
This paper suggests a nonparametric scheme to find the sparse solution of the underdetermined system of linear equations in the presence of unknown impulsive or non-Gaussian noise. This approach is robust against any variations of the noise model and its parameters. It is based on minimization of rank pseudo norm of the residual signal and l_1-norm of the signal of interest, simultaneously. We use the steepest descent method to find the sparse solution via an iterative algorithm. Simulation results show that our proposed method outperforms the existence methods like OMP, BP, Lasso, and BCS whenever the observation vector is contaminated with measurement or environmental non-Gaussian noise with unknown parameters. Furthermore, for low SNR condition, the proposed method has better performance in the presence of Gaussian noise.
Year
Venue
Field
2012
CoRR
Residual,Method of steepest descent,Underdetermined system,Iterative method,Lasso (statistics),Sparse approximation,Nonparametric statistics,Artificial intelligence,Gaussian noise,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1201.2843
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Mahmoud Ramezani Mayiami151.83
Babak Seyfe211915.41