4.7 Article

Low rank matrix recovery with impulsive noise

Journal

APPLIED MATHEMATICS LETTERS
Volume 134, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108364

Keywords

Low rank matrix recovery; Impulsive noise; Matrix restricted isometry property

Funding

  1. National Natural Science Foundation of China [11871051]
  2. Tianjin Research Innovation Project for Postgraduate Students [2021YJSS025]

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In this paper, we investigate low rank matrix recovery with impulsive noise, comparing the difference between the nuclear norm and Frobenius norm model. We present a stable recovery result based on the matrix restricted isometry property and find that the truncated difference of nuclear norm and Frobenius norm model can also stably recover low rank matrices with impulsive noise.
In this paper, we consider low rank matrix recovery with impulsive noise. We first study the difference of nuclear norm and Frobenius norm model and present a stable recovery result based on the matrix restricted isometry property. Then we find the truncated difference of nuclear norm and Frobenius norm model can also stably recover low rank matrices with impulsive noise.(c) 2022 Elsevier Ltd. All rights reserved.

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