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arXiv · 2501.04948

Low-Rank Reduced Biquaternion Tensor Ring Decomposition and Tensor Completion

Hui Luo·Xin Liu·Wei Liu·Yang Zhang
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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.

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BibTeXRIS

Hui Luo, Xin Liu, Wei Liu, Yang Zhang. 2025-01-09. Low-Rank Reduced Biquaternion Tensor Ring Decomposition and Tensor Completion. https://arxiv.org/abs/2501.04948

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