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Parametrized quasi-soft thresholding operator for compressed sensing and matrix completion
Journal article   Peer reviewed

Parametrized quasi-soft thresholding operator for compressed sensing and matrix completion

Dongxiu Xie, Hugo J. Woerdeman and An-Bao Xu
Computational & applied mathematics, v 39(3)
22 May 2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Compressed sensing and matrix completion are two new approaches to signal acquisition and processing. Even though the two approaches are different, there is a close connection between them. We introduce a parametrized quasi-soft thresholding operator and use it to obtain new algorithms for compressed sensing and matrix completion. Furthermore, by updating the parametrized quasi-soft thresholding operator in every iteration, the varied parametric quasi-soft thresholding algorithm is obtained. The convergence of the algorithms is analyzed, and numerical results show that the new algorithms can effectively improve the accuracy.

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Web of Science research areas
Mathematics, Applied
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