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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120133

    Title: Functional clustering and missing value imputation of traffic flow trajectories
    Authors: Li, Pai-Ling;Chiou, Jeng-Min
    Keywords: Functional data analysis;missing value;principal component analysis;traffic flow rate;unsupervised learning;vehicle loop detector
    Date: 2020-07-21
    Issue Date: 2021-03-10 12:13:58 (UTC+8)
    Publisher: Taylor & Francis
    Abstract: Patterns of traffic flow trajectories play an essential role in analysing traffic monitoring data in transportation studies. This research presents a data-adaptive clustering approach to explore traffic flow patterns and a unified algorithm to impute missing values for incomplete traffic flow trajectories. We recommend using subspace-projected functional data clustering with the assumption that each observed daily traffic flow trajectory is a realization of a random function sampled from a mixture of stochastic processes, and each subprocess represents a cluster subspace spanned by the mean function and eigenfunctions of the covariance kernel of the random trajectories. The unified algorithm combines probabilistic functional clustering with functional principal component analysis to propose a mixture prediction for missing value imputation. The proposed methods effectively unravel distinctive daily traffic flow patterns and improve the accuracy of missing value imputation. The advantage of the proposed approaches is demonstrated through numerical studies of a real traffic flow data application.
    Relation: Transportmetrica B: Transport Dynamics 9(1), p.1-21
    DOI: 10.1080/21680566.2020.1781706
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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