TITLE:
Recovery of Corrupted Low-Rank Tensors
AUTHORS:
Haiyan Fan, Gangyao Kuang
KEYWORDS:
Low-Rank Tensor, Tensor Recovery, Augmented Lagrangian Method, Impulsive Noise, Mixed Noise
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.2,
February
28,
2017
ABSTRACT: This paper studies the problem of recovering low-rank tensors, and the tensors are corrupted by both impulse and Gaussian noise. The problem is well accomplished by integrating the tensor nuclear norm and the l1-norm in a unified convex relaxation framework. The nuclear norm is adopted to explore the low-rank components and the l1-norm is used to exploit the impulse noise. Then, this optimization problem is solved by some augmented-Lagrangian-based algorithms. Some preliminary numerical experiments verify that the proposed method can well recover the corrupted low-rank tensors.