Hybrid GRU-PINN Model for Pedestrian Trajectory Prediction at Unsignalized Intersections

Yuheng Tu,Chi Zhang

Published 2025 in International Conference on Service Operations and Logistics, and Informatics

ABSTRACT

Pedestrian–vehicle interactions at unsignalized intersections present significant challenges for trajectory prediction. Purely physics-based approaches lack the flexibility to capture human decision-making, while purely data-driven models often struggle with generalization and physical plausibility. The proposed Hybrid GRU-PINN Framework models pedestrian trajectories using an extended Social Force Model (SFM), reformulated as a system of ordinary differential equations (ODEs). A Physics-Informed Neural Network (PINN) is employed to compute the numerical solution of the ODEs, with an additional loss term introduced based on the residual between the PINN output and the predictions of a GRU model pretrained on real-world data. To represent distinct pedestrian states—such as rushing, yielding, and normal walking—and their subtle transitions, state-specific SFM goal forces are defined, and a continuous soft state-switching mechanism is introduced based on relative position and time-to-collision (TTC). The pretrained GRU captures temporal dependencies from historical trajectories and regularizes the PINN, enhancing the learning of complex behavioral patterns under sparse data conditions. Experiments on the CITR dataset demonstrate that the hybrid model reduces Average Displacement Error by 30.8% and Final Displacement Error by 21.0% compared to a GRU-only baseline, while generating trajectories that align with human commonsense decision-making, achieving high accuracy and physical plausibility even in low-data scenarios.

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