PAST: A Primary-Auxiliary Spatio-Temporal Network for Traffic Time Series Imputation

Fuente: arXiv
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Main Authors: Hu, Hanwen, Wen, Zimo, Qian, Shiyou, Co, Jian
Format: Preprint
Published: 2025
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author Hu, Hanwen
Wen, Zimo
Qian, Shiyou
Co, Jian
author_facet Hu, Hanwen
Wen, Zimo
Qian, Shiyou
Co, Jian
contents Traffic time series imputation is crucial for the safety and reliability of intelligent transportation systems, while diverse types of missing data, including random, fiber, and block missing make the imputation task challenging. Existing models often focus on disentangling and separately modeling spatial and temporal patterns based on relationships between data points. However, these approaches struggle to adapt to the random missing positions, and fail to learn long-term and large-scale dependencies, which are essential in extensive missing conditions. In this paper, patterns are categorized into two types to handle various missing data conditions: primary patterns, which originate from internal relationships between data points, and auxiliary patterns, influenced by external factors like timestamps and node attributes. Accordingly, we propose the Primary-Auxiliary Spatio-Temporal network (PAST). It comprises a graph-integrated module (GIM) and a cross-gated module (CGM). GIM captures primary patterns via dynamic graphs with interval-aware dropout and multi-order convolutions, and CGM extracts auxiliary patterns through bidirectional gating on embedded external features. The two modules interact via shared hidden vectors and are trained under an ensemble self-supervised framework. Experiments on three datasets under 27 missing data conditions demonstrate that the imputation accuracy of PAST outperforms seven state-of-the-art baselines by up to 26.2% in RMSE and 31.6% in MAE.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PAST: A Primary-Auxiliary Spatio-Temporal Network for Traffic Time Series Imputation
Hu, Hanwen
Wen, Zimo
Qian, Shiyou
Co, Jian
Machine Learning
Artificial Intelligence
Traffic time series imputation is crucial for the safety and reliability of intelligent transportation systems, while diverse types of missing data, including random, fiber, and block missing make the imputation task challenging. Existing models often focus on disentangling and separately modeling spatial and temporal patterns based on relationships between data points. However, these approaches struggle to adapt to the random missing positions, and fail to learn long-term and large-scale dependencies, which are essential in extensive missing conditions. In this paper, patterns are categorized into two types to handle various missing data conditions: primary patterns, which originate from internal relationships between data points, and auxiliary patterns, influenced by external factors like timestamps and node attributes. Accordingly, we propose the Primary-Auxiliary Spatio-Temporal network (PAST). It comprises a graph-integrated module (GIM) and a cross-gated module (CGM). GIM captures primary patterns via dynamic graphs with interval-aware dropout and multi-order convolutions, and CGM extracts auxiliary patterns through bidirectional gating on embedded external features. The two modules interact via shared hidden vectors and are trained under an ensemble self-supervised framework. Experiments on three datasets under 27 missing data conditions demonstrate that the imputation accuracy of PAST outperforms seven state-of-the-art baselines by up to 26.2% in RMSE and 31.6% in MAE.
title PAST: A Primary-Auxiliary Spatio-Temporal Network for Traffic Time Series Imputation
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.13414