Title
Adaptive matching pursuit using coordinate descent and double residual minimization
Abstract
We present a greedy recursive algorithm for computing sparse solutions to systems of linear equations. Derived from adaptive matching pursuit, the algorithm employs a greedy column selection strategy which, combined with coefficient update via coordinate descent, ensures a low complexity. The sparsity level is estimated online using the predictive least squares (PLS) criterion. The key to performance is the minimization of two residuals, corresponding to two solutions with different sparsity levels, one for finding the values of the nonzero coefficients, the other for maintaining a large enough pool of candidates for the PLS criterion. We test the algorithm for a sparse time-varying finite impulse response channel; the performance is comparable with or better than that of the competing methods, while the complexity is lower.
Year
DOI
Venue
2013
10.1016/j.sigpro.2013.05.001
Signal Processing
Keywords
Field
DocType
coefficient update,different sparsity level,sparse solution,low complexity,greedy recursive algorithm,finite impulse response channel,adaptive matching pursuit,pls criterion,residual minimization,sparsity level,greedy column selection strategy,matching pursuit,greedy method
Least squares,Matching pursuit,Residual,Mathematical optimization,Recursion (computer science),Greedy algorithm,Adaptive algorithm,Coordinate descent,Finite impulse response,Mathematics
Journal
Volume
Issue
ISSN
93
11
0165-1684
Citations 
PageRank 
References 
4
0.48
12
Authors
2
Name
Order
Citations
PageRank
Alexandru Onose1123.93
Bogdan Dumitrescu210722.76