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author:

Su, Yaru (Su, Yaru.) [1] (Scholars:苏雅茹) | Wu, Xiaohui (Wu, Xiaohui.) [2] | Liu, Wenxi (Liu, Wenxi.) [3] (Scholars:刘文犀)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we study the problem of low-rank tensor completion with the purpose of recovering a low-rank tensor from a tensor with partial observed items. To date, there are several different definitions of tensor ranks. We focus the study on the low tubal rank tensor completion task. Previous works solve the low tubal rank tensor completion/recovery problems by convex tensor nuclear norm minimization. However, this kind of tensor nuclear norm is orientation dependent, which is originally due to the definition of tensor-tensor product. Based on the convex tensor nuclear norm minimization, the tensor recovery performance varies when the orientation of the input data is different. However, in practice, it is generally hard to choose the best way of the data input. To address this issue, we propose a new convex model which is based on the sum of tensor nuclear norm minimization. It includes the existing tensor nuclear norm minimization model as a special case which is corresponding to an orientation of the input data. The proposed model is convex and thus can be solved efficiently. Numerical experiments on images and video sequences demonstrate the effectiveness of our proposed method.

Keyword:

convex optimization sum of tensor nuclear norm Tensor completion tensor nuclear norm tensor SVD tensor-tensor product

Community:

  • [ 1 ] [Su, Yaru]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China
  • [ 2 ] [Liu, Wenxi]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China
  • [ 3 ] [Wu, Xiaohui]Xiamen Univ, Sch Aerosp Engn, Xiamen 361005, Peoples R China

Reprint 's Address:

  • 苏雅茹

    [Su, Yaru]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China

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Source :

IEEE ACCESS

ISSN: 2169-3536

Year: 2019

Volume: 7

Page: 134943-134953

3 . 7 4 5

JCR@2019

3 . 4 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:150

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 13

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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