Journal
MATHEMATICS
Volume 11, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/math11071649
Keywords
traffic flow prediction; periodicity; volatility; Fourier embedding; spatial-temporal ChebyNet; graph convolutional neural network
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A novel robust Fourier Graph Convolution Network model is proposed for effective spatio-temporal pattern recognition of traffic flow data. The model includes a Fourier Embedding module and a stackable Spatial-Temporal ChebyNet layer. The Fourier Embedding module captures periodicity features based on Fourier series theory, while the Spatial-Temporal ChebyNet layer models the volatility features of traffic flow to improve system robustness.
The spatio-temporal pattern recognition of time series data is critical to developing intelligent transportation systems. Traffic flow data are time series that exhibit patterns of periodicity and volatility. A novel robust Fourier Graph Convolution Network model is proposed to learn these patterns effectively. The model includes a Fourier Embedding module and a stackable Spatial-Temporal ChebyNet layer. The development of the Fourier Embedding module is based on the analysis of Fourier series theory and can capture periodicity features. The Spatial-Temporal ChebyNet layer is designed to model traffic flow's volatility features for improving the system's robustness. The Fourier Embedding module represents a periodic function with a Fourier series that can find the optimal coefficient and optimal frequency parameters. The Spatial-Temporal ChebyNet layer consists of a Fine-grained Volatility Module and a Temporal Volatility Module. Experiments in terms of prediction accuracy using two open datasets show the proposed model outperforms the state-of-the-art methods significantly.
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