Cyclic tensor singular value decomposition with applications in low-rank high-order tensor recovery

Yigong Zhang, Zhihui Tu, Jian Lu, Chen Xu, Michael K. Ng

Abstract: Highlights•We propose a decomposition to capture the implicit low-rank structure of tensor.•we establish the corresponding tensor rank and its convex relaxation.•A square reshaping strategy is integrated into the proposed recovery models.•Extensive experiments show that our methods outperform state-of-the-art approaches.