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Estimating Structural Missing Values via Low-tubal-rank Tensor Completion

Abstract: 

The recently proposed Tensor Nuclear Norm (TNN) minimization has been widely used for tensor completion. However, previous works didn’t consider the structural difference between the observed data and missing data, which widely exists in many applications. In this paper, we propose to incorporate a constraint item on the missing values into low-tubal-rank tensor completion to promote the structural hypothesis
of the missing values such as sparsity. Theoretically, the proposed model has lower recovery error than classical model, and the target tensor can be recovered exactly with overwhelming probability provided low-tubal-rankness on whole area and sparsity on missing area. Algorithmically, an efficient algorithm by Alternating Direction Method of Multiplier (ADMM) is presented. Extensive experiments on both synthetic and real-world data demonstrate its superiority compared with several state-of-the-art methods.

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Paper Details

Authors:
Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang
Submitted On:
16 April 2020 - 3:15am
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Hailin Wang
Document Year:
2020
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Estimating Structural Missing Values via Low-tubal-rank Tensor Completion.pdf

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[1] Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang, "Estimating Structural Missing Values via Low-tubal-rank Tensor Completion", IEEE SigPort, 2020. [Online]. Available: http://sigport.org/5098. Accessed: Jul. 12, 2020.
@article{5098-20,
url = {http://sigport.org/5098},
author = {Hailin Wang; Feng Zhang; Jianjun Wang; Yao Wang },
publisher = {IEEE SigPort},
title = {Estimating Structural Missing Values via Low-tubal-rank Tensor Completion},
year = {2020} }
TY - EJOUR
T1 - Estimating Structural Missing Values via Low-tubal-rank Tensor Completion
AU - Hailin Wang; Feng Zhang; Jianjun Wang; Yao Wang
PY - 2020
PB - IEEE SigPort
UR - http://sigport.org/5098
ER -
Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang. (2020). Estimating Structural Missing Values via Low-tubal-rank Tensor Completion. IEEE SigPort. http://sigport.org/5098
Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang, 2020. Estimating Structural Missing Values via Low-tubal-rank Tensor Completion. Available at: http://sigport.org/5098.
Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang. (2020). "Estimating Structural Missing Values via Low-tubal-rank Tensor Completion." Web.
1. Hailin Wang, Feng Zhang, Jianjun Wang, Yao Wang. Estimating Structural Missing Values via Low-tubal-rank Tensor Completion [Internet]. IEEE SigPort; 2020. Available from : http://sigport.org/5098