Refining time-space traffic diagrams: A neighborhood-adaptive linear regression method

📅 2026-03-25
📈 Citations: 0
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🤖 AI Summary
This study addresses the low resolution commonly found in existing spatiotemporal traffic graphs, which stems from limitations in monitoring accuracy and sampling frequency and hinders both theoretical research and practical applications. To overcome this, the authors propose a refinement method based on neighborhood-adaptive linear regression. By leveraging neighborhood embedding and local pattern similarity analysis, the approach adaptively identifies similar neighboring units for each target cell and constructs a local low-to-high-resolution mapping, thereby circumventing the over-smoothing tendency of conventional global linear models. Requiring only a small amount of paired data, the method accurately captures key traffic dynamics such as wave propagation and congestion evolution. Evaluated on two real-world datasets, it achieves consistent improvements—9.16% in MAE, 8.16% in MAPE, 1.86% in CMJS, 3.89% in SSIM, and 5.83% in GMSD—and demonstrates strong generalization across days and scenarios.

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📝 Abstract
The time-space (TS) traffic diagram serves as a crucial tool for characterizing the dynamic evolution of traffic flow, with its resolution directly influencing the effectiveness of traffic theory research and engineering applications. However, constrained by monitoring precision and sampling frequency, existing TS traffic diagrams commonly suffer from low resolution. To address this issue, this paper proposes a refinement method for TS traffic diagrams based on neighborhood-adaptive linear regression. Introducing the concept of neighborhood embedding into TS diagram refinement, the method leverages local pattern similarity in TS diagrams, adaptively identifies neighborhoods similar to target cells, and fits the low-to-high resolution mapping within these neighborhoods for refinement. It avoids the over-smoothing tendency of the traditional global linear model, allows the capture of unique traffic wave propagation and congestion evolution characteristics, and outperforms the traditional neighborhood embedding method in terms of local information utilization to achieve target cell refinement. Validation on two real datasets across multiple scales and upscaling factors shows that, compared to benchmark methods, the proposed method achieves improvements of 9.16%, 8.16%, 1.86%, 3.89%, and 5.83% in metrics including MAE, MAPE, CMJS, SSIM, and GMSD, respectively. Furthermore, the proposed method exhibits strong generalization and robustness in cross-day and cross-scenario validations. In summary, requiring only a minimal amount of paired high- and low-resolution training data, the proposed method features a concise formulation, providing a foundation for the low-cost, fine-grained refinement of low-sampling-rate traffic data.
Problem

Research questions and friction points this paper is trying to address.

time-space traffic diagram
low resolution
traffic flow
sampling frequency
monitoring precision
Innovation

Methods, ideas, or system contributions that make the work stand out.

neighborhood-adaptive linear regression
time-space traffic diagram refinement
local pattern similarity
traffic wave propagation
low-resolution traffic data enhancement
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Zhihong Yao
National Engineering Laboratory of Integrated Transportation Big Data Application Technology, National United Engineering Laboratory of Integrated and Intelligent Transportation, School of Transportation and Logistics, Southwest Jiaotong University, Sichuan 610031, China
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