Short-Term Highway Traffic Flow Prediction via Wavelet–Liquid Neural Network Model

Accurate, efficient, and reliable traffic flow prediction is pivotal for highway operation and management. However, traffic flow series present nonlinear, heterogeneous, and stochastic characteristics, posing significant challenges to precise prediction. To address this issue, this paper proposes a novel wavelet-LNN model, integrating the strengths of wavelet decomposition and liquid neural networks (LNNs). Initially, multi-scale wavelet decomposition is applied to the original traffic flow data to yield approximation components and detailed components. Subsequently, each component is trained using the LNN. Ultimately, the predicted results of all components of the LNN models are aggregated to derive the final traffic flow prediction. The experiments conducted on four highway datasets demonstrate that the proposed wavelet-LNN model surpasses SVR, LSSVM, LSTM, TCN, and transformer models in prediction performance across R2, MSE, and MAE metrics. Notably, the wavelet-LNN model features the fewest parameters (<2% of typical deep learning models).

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Publication Details

Journal
Modelling—International Open Access Journal of Modelling in Engineering Science
Published
2025-05-14
DOI
https://doi.org/10.3390/modelling6020039
Citations
1
Primary Topic
Traffic Prediction and Management Techniques
Type
article
Field-Weighted Citation Impact
1.01

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Short-Term Highway Traffic Flow Prediction via Wavelet–Liquid Neural Network Model

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Modelling—International Open Access Journal of Modelling in Engineering Science
Traffic Prediction and Management Techniques
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article

Short-Term Highway Traffic Flow Prediction via Wavelet–Liquid Neural Network Model

Hongyun Kang, Weipin Wang, Shuli Zhao, Yongjun Wu, Jingyao Chen, Xuening He
article en
1 citations

Abstract

Accurate, efficient, and reliable traffic flow prediction is pivotal for highway operation and management. However, traffic flow series present nonlinear, heterogeneous, and stochastic characteristics, posing significant challenges to precise prediction. To address this issue, this paper proposes a novel wavelet-LNN model, integrating the strengths of wavelet decomposition and liquid neural networks (LNNs). Initially, multi-scale wavelet decomposition is applied to the original traffic flow data to yield approximation components and detailed components. Subsequently, each component is trained using the LNN. Ultimately, the predicted results of all components of the LNN models are aggregated to derive the final traffic flow prediction. The experiments conducted on four highway datasets demonstrate that the proposed wavelet-LNN model surpasses SVR, LSSVM, LSTM, TCN, and transformer models in prediction performance across R2, MSE, and MAE metrics. Notably, the wavelet-LNN model features the fewest parameters (<2% of typical deep learning models).

Modelling—International Open Access Journal of Modelling in Engineering ScienceVol. 6(2)
Chongqing Jiaotong University (CN)
Natural Science Foundation of Chongqing, Chongqing Municipal Education Commission, Centre Scientifique et Technique du Bâtiment
Openalex Percentile: Top 25%
Traffic Prediction and Management Techniques
1.01
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