Low-rank reduced biquaternion tensor ring decomposition and tensor completion

Hui Luo, Xin Liu, Wei Liu and Yang Zhang

Applied Mathematics and Computation, 2025, vol. 504, issue C

Abstract: We define the reduced biquaternion tensor ring (RBTR) decomposition and provide a detailed exposition of the corresponding algorithm RBTR-SVD. Leveraging RBTR decomposition, we propose a novel low-rank tensor completion algorithm RBTR-TV integrating RBTR ranks with total variation (TV) regularization to optimize the process. Numerical experiments on color image and video completion tasks indicate the advantages of our method.

Keywords: Reduced biquaternion; Tensor ring decomposition; Low-rank tensor completion; Image completion; Video completion; Total variation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:504:y:2025:i:c:s0096300325002309

DOI: 10.1016/j.amc.2025.129504

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