An Efficient Algorithm for Overcomplete Sparsifying Transform Learning with Signal Denoising
Joint Authors
Hou, Beiping
Zhu, Zhihui
Li, Gang
Yu, Aihua
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper deals with the problem of overcomplete transform learning.
An alternating minimization based procedure is proposed for solving the formulated sparsifying transform learning problem.
A closed-form solution is derived for the minimization involved in transform update stage.
Compared with existing ones, our proposed algorithm significantly reduces the computation complexity.
Experiments and simulations are carried out with synthetic data and real images to demonstrate the superiority of the proposed approach in terms of the averaged representation and denoising errors, the percentage of successful and meaningful recovery of the analysis dictionary, and, more significantly, the computation efficiency.
American Psychological Association (APA)
Hou, Beiping& Zhu, Zhihui& Li, Gang& Yu, Aihua. 2016. An Efficient Algorithm for Overcomplete Sparsifying Transform Learning with Signal Denoising. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112437
Modern Language Association (MLA)
Hou, Beiping…[et al.]. An Efficient Algorithm for Overcomplete Sparsifying Transform Learning with Signal Denoising. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112437
American Medical Association (AMA)
Hou, Beiping& Zhu, Zhihui& Li, Gang& Yu, Aihua. An Efficient Algorithm for Overcomplete Sparsifying Transform Learning with Signal Denoising. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112437
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112437