Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 39, 2022 No. 5
1449-1453,1459

Data reconstruction method based on tensor singular value theory

Wu Jiangnan
Zhang Hongmei
Zhao Yongmei
Zeng Hang
Equipment Management & Unmanned Aerial Vehicle Engineering College, Air Force Engineering University, Xi'an 710051, China
DOI: 10.19734/j.issn.1001-3695.2021.10.0429

Abstract

Due to the failure of detectors and communication equipment, the lack of traffic data is inevitable, and this kind of lack has an adverse impact on intelligent transportation systems(ITS). To solve this problem, this paper used the concept of tensor average rank to minimize the tensor kernel norm, thereby constructed a new low-rank tensor completion model. And on this basis, based on tensor singular value decomposition(T-SVD) and threshold decomposition(TSVT) theories, it respectively used coordinate gradient descent(CGD) and alternating multiplier method(ADMM) to solve the model, and proposed two tensor completion algorithms LRTC-CGD and LRTC-TSVT. Experiments on the real spatio-temporal traffic data set show that the LRTC-CGD and LRTC-TSVT algorithms have better completion accuracy than other existing completion algorithms under different missing scenarios and missing rates. And in the case of extreme data missing(70%~80%), the effect of completion is more stable.

Foundation Support

国家自然科学基金资助项目

Publish Information

DOI: 10.19734/j.issn.1001-3695.2021.10.0429
Publish at: Application Research of Computers Printed Article, Vol. 39, 2022 No. 5
Section: Algorithm Research & Explore
Pages: 1449-1453,1459
Serial Number: 1001-3695(2022)05-027-1449-05

Publish History

[2021-12-16] Accepted Paper
[2022-05-05] Printed Article

Cite This Article

武江南, 张红梅, 赵永梅, 等. 基于张量奇异值理论的交通数据重构方法 [J]. 计算机应用研究, 2022, 39 (5): 1449-1453,1459. (Wu Jiangnan, Zhang Hongmei, Zhao Yongmei, et al. Data reconstruction method based on tensor singular value theory [J]. Application Research of Computers, 2022, 39 (5): 1449-1453,1459. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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