A Designed Thresholding Operator for Low-Rank Matrix Completion

Angang Cui (), Haizhen He and Hong Yang
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Angang Cui: School of Mathematics and Statistics, Yulin University, Yulin 719000, China
Haizhen He: School of International Education, Yulin University, Yulin 719000, China
Hong Yang: School of Mathematics and Statistics, Yulin University, Yulin 719000, China

Mathematics, 2024, vol. 12, issue 7, 1-13

Abstract: In this paper, a new thresholding operator, namely, designed thresholding operator, is designed to recover the low-rank matrices. With the change of parameter in designed thresholding operator, the designed thresholding operator can apply less bias to the larger singular values of a matrix compared with the classical soft thresholding operator. Based on the designed thresholding operator, an iterative thresholding algorithm for recovering the low-rank matrices is proposed. Numerical experiments on some image inpainting problems show that the proposed thresholding algorithm performs effectively in recovering the low-rank matrices.

Keywords: low-rank matrix completion; designed thresholding operator; iterative matrix designed thresholding algorithm; image inpainting (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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