The Twist Tensor Nuclear Norm for Video Completion

  title={The Twist Tensor Nuclear Norm for Video Completion},
  author={Wenrui Hu and Dacheng Tao and Wensheng Zhang and Yuan Xie and Yehui Yang},
  journal={IEEE Transactions on Neural Networks and Learning Systems},
In this paper, we propose a new low-rank tensor model based on the circulant algebra, namely, twist tensor nuclear norm (t-TNN). The twist tensor denotes a three-way tensor representation to laterally store 2-D data slices in order. On one hand, t-TNN convexly relaxes the tensor multirank of the twist tensor in the Fourier domain, which allows an efficient computation using fast Fourier transform. On the other, t-TNN is equal to the nuclear norm of block circulant matricization of the twist… CONTINUE READING
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