Tensor completion using enhanced multiple modes low-rank prior and total variation

Haijin Zeng; Xiaozhen Xie; Jifeng Ning

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arXiv · 2004.08747

Tensor completion using enhanced multiple modes low-rank prior and total variation

Haijin Zeng·Xiaozhen Xie·Jifeng Ning

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Abstract

In this paper, we propose a novel model to recover a low-rank tensor by simultaneously performing double nuclear norm regularized low-rank matrix factorizations to the all-mode matricizations of the underlying tensor. An block successive upper-bound minimization algorithm is applied to solve the model. Subsequence convergence of our algorithm can be established, and our algorithm converges to the coordinate-wise minimizers in some mild conditions. Several experiments on three types of public data sets show that our algorithm can recover a variety of low-rank tensors from significantly fewer samples than the other testing tensor completion methods.

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Haijin Zeng, Xiaozhen Xie, Jifeng Ning. 2020-04-19. Tensor completion using enhanced multiple modes low-rank prior and total variation. https://arxiv.org/abs/2004.08747

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