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A Novel Truncated Normal Tensor Completion Method for Multi-Source Fusion Data

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  • Yongmei Zhao

    (School of Computer Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
    School of Equipment Management and Unmanned Aerial Vehicle Engineering, Air Force Engineering University, Xi’an 710051, China)

Abstract

Completing traffic data is a basic requirement for intelligent transportation systems. However, completing spatiotemporal traffic data poses a significant challenge, especially for high-dimensional data with complex missing mechanisms. Various completion methods targeting different missing mechanisms have showcased the superiority of tensor learning by effectively characterizing intricate spatiotemporal correlations. In this study, a novel tensor completion framework, known as the multi-source tensor completion method for data fusion, is proposed. This framework incorporates passenger transfer relationships between buses and subways into subway data completion, enhancing the data completion accuracy. Moreover, by combining bus transfer passenger flow data with other data dimensions, such as the different road sections, time intervals, and days, an innovative 4D low-rank tensor completion data framework was obtained. In addition, to boost the completion accuracy, a truncated l 2 , p norm optimization model was derived. This model enhances the non-convex performance of the objective function throughout the tensor completion process. The results highlight the superiority of the proposed completion method, leveraging fused subway/bus data over other completion methods that rely solely on subway data.

Suggested Citation

  • Yongmei Zhao, 2024. "A Novel Truncated Normal Tensor Completion Method for Multi-Source Fusion Data," Mathematics, MDPI, vol. 12(2), pages 1-14, January.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:223-:d:1315988
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    References listed on IDEAS

    as
    1. Yu-Fan Li & Kun Shang & Zheng-Hai Huang, 2019. "A singular value p-shrinkage thresholding algorithm for low rank matrix recovery," Computational Optimization and Applications, Springer, vol. 73(2), pages 453-476, June.
    2. Guo Chen & Zhigui Liu & Guang Yu & Jianhong Liang, 2021. "A New View of Multisensor Data Fusion: Research on Generalized Fusion," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-21, October.
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