Title
Conjugate Gradient Hard Thresholding Pursuit Algorithm for Sparse Signal Recovery.
Abstract
We propose a new iterative greedy algorithm to reconstruct sparse signals in Compressed Sensing. The algorithm, called Conjugate Gradient Hard Thresholding Pursuit (CGHTP), is a simple combination of Hard Thresholding Pursuit (HTP) and Conjugate Gradient Iterative Hard Thresholding (CGIHT). The conjugate gradient method with a fast asymptotic convergence rate is integrated into the HTP scheme that only uses simple line search, which accelerates the convergence of the iterative process. Moreover, an adaptive step size selection strategy, which constantly shrinks the step size until a convergence criterion is met, ensures that the algorithm has a stable and fast convergence rate without choosing step size. Finally, experiments on both Gaussian-signal and real-world images demonstrate the advantages of the proposed algorithm in convergence rate and reconstruction performance.
Year
DOI
Venue
2019
10.3390/a12020036
ALGORITHMS
Keywords
Field
DocType
compressed sensing,sparse recovery,conjugate gradient,iterative algorithms
Conjugate gradient method,Convergence (routing),Mathematical optimization,Iterative and incremental development,Algorithm,Greedy algorithm,Line search,Rate of convergence,Thresholding,Mathematics,Compressed sensing
Journal
Volume
Issue
ISSN
12
2
1999-4893
Citations 
PageRank 
References 
1
0.37
16
Authors
5
Name
Order
Citations
PageRank
Yanfeng Zhang132.47
Yunbao Huang210.71
Haiyan Li386.32
Pu Li49615.13
Xi'an Fan510.37