Document Type
Article
Publication Date
2024
DOI
10.1016/j.ijtst.2024.04.002
Publication Title
International Journal of Transporation Science and Technology
Volume
Article in Press
Pages
1-14
Abstract
Accurate traffic forecasting is crucial for understanding and managing congestion for efficient transportation planning. However, conventional approaches often neglect epistemic uncertainty, which arises from incomplete knowledge across different spatiotemporal scales. This study addresses this challenge by introducing a novel methodology to establish dynamic spatiotemporal correlations that captures the unobserved heterogeneity in travel time through distinct peaks in probability density functions, guided by physics-based principles. We propose an innovative approach to modifying both prediction and correction steps of the Kalman Filter (KF) algorithm by leveraging established spatiotemporal correlations. Central to our approach is the development of a novel deep learning model called the Physics Informed-Graph Convolutional Gated Recurrent Neural Network (PI-GRNN). Functioning as the state-space model within the KF, the PI-GRNN exploits established correlations to construct dynamic adjacency matrices that utilize the inherent structure and relationships within the transportation network to capture sequential patterns and dependencies over time. Furthermore, our methodology integrates insights gained from correlations into the correction step of the KF algorithm that helps in enhancing its correctional capabilities. This integrated approach proves instrumental in alleviating the inherent model drift associated with data-driven methods, as periodic corrections through update step of KF refine the predictions generated by PI-GRNN. To the best of our knowledge, this study represents a pioneering effort in integrating deep learning and KF algorithms in this unique symbiotic manner. Through extensive experimentation with real-world traffic data, we demonstrate the superior performance of our model compared to the benchmark approaches.
Rights
© 2024 Tongji University and Tongji University Press.
This is an open access article under the Creative Commons Attribution-Noncommercial-Noderivs 4.0 International (CC BY-NC-ND 4.0) License.
ORCID
0000-0002-1490-5404 (Park)
Original Publication Citation
Deshpande, N., & Park, H. (2024). Physics-informed deep learning with Kalman Filter mixture for traffic state prediction. International Journal of Transportation Science and Technology. Advance online publication. https://doi.org/10.1016/j.ijtst.2024.04.002
Repository Citation
Deshpande, Niharika and Park, Hyoshin (John), "Physics-Informed Deep Learning With Kalman Filter Mixture for Traffic State Prediction" (2024). Engineering Management & Systems Engineering Faculty Publications. 212.
https://digitalcommons.odu.edu/emse_fac_pubs/212
Included in
Artificial Intelligence and Robotics Commons, Systems Engineering Commons, Theory and Algorithms Commons, Transportation Engineering Commons