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High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001

Abstract: 

In this paper, we aim at the problem of tensor data completion. Tensor-train decomposition is adopted because of its powerful representation ability and linear scalability to tensor order. We propose an algorithm named Sparse Tensor-train Optimization (STTO) which considers incomplete data as sparse tensor and uses first-order optimization method to find the factors of tensor-train decomposition. Our algorithm is shown to perform well in simulation experiments at both low-order cases and high-order cases. We also employ a tensorization method to transform data to a higher-order form to enhance the performance of our algorithm. The results of image recovery experiments in various cases manifest that our method outperforms other completion algorithms. Especially when the missing rate is very high, e.g., 90\% to 99\%, our method is significantly better than the state-of-the-art methods.

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Paper Details

Authors:
Longhao Yuan, Qibin Zhao and Jianting Cao
Submitted On:
15 April 2018 - 1:45am
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Type:
Presentation Slides
Event:
Presenter's Name:
Longhao Yuan
Paper Code:
2908
Document Year:
2018
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ICASSP18001

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[1] Longhao Yuan, Qibin Zhao and Jianting Cao, "High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/2884. Accessed: Dec. 12, 2018.
@article{2884-18,
url = {http://sigport.org/2884},
author = {Longhao Yuan; Qibin Zhao and Jianting Cao },
publisher = {IEEE SigPort},
title = {High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001},
year = {2018} }
TY - EJOUR
T1 - High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001
AU - Longhao Yuan; Qibin Zhao and Jianting Cao
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/2884
ER -
Longhao Yuan, Qibin Zhao and Jianting Cao. (2018). High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001. IEEE SigPort. http://sigport.org/2884
Longhao Yuan, Qibin Zhao and Jianting Cao, 2018. High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001. Available at: http://sigport.org/2884.
Longhao Yuan, Qibin Zhao and Jianting Cao. (2018). "High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001." Web.
1. Longhao Yuan, Qibin Zhao and Jianting Cao. High-order Tensor Completion for Data Recovery via Sparse Tensor-train OptimizationICASSP18001 [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/2884