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August 6, 2026Mathematics0 citationsOpen Access

Vehicle Multimodal Trajectory Prediction Integrating Kinematics and Dynamic Interaction Features

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FLFeiyan LiJLJiahao LiHJHongfei Jia

Key Points

  • This research aims to enhance vehicle trajectory prediction by integrating kinematic constraints with dynamic interaction features.
  • Developed a multimodal prediction model operating in the Frenet coordinate system.
  • Utilized Bidirectional Gated Recurrent Unit (Bi-GRU) for historical feature extraction.
  • Employed an Adaptive Social Gating Network (ASGN) with a Stochastic Gating Decoder for sampling and filtering.
  • Achieved a minimum Average Displacement Error (minADE) of 0.425 m and a minimum Final Displacement Error (minFDE) of 0.955 m.
  • Outperformed baselines, reducing Lat-ADE by 53.9% compared to Social-GAN.
  • Generated smoother, kinematically interpretable trajectories with improved accuracy in complex scenarios.

Abstract

Accurate vehicle trajectory prediction is essential for autonomous driving safety. However, existing data-driven models often ignore kinematic constraints, causing lateral jitter and trajectory distortion, while purely kinematics-based models lack flexibility in complex interactions. To address this, this paper presents a multimodal trajectory prediction method combining kinematics with dynamic interaction features. Operating in the Frenet coordinate system, the proposed model extracts historical features via a Bidirectional Gated Recurrent Unit (Bi-GRU) and utilizes an Adaptive Social Gating Network (ASGN) with multi-head attention to filter irrelevant interaction noise. This paper introduces a Stochastic Gating Decoder for multimodal latent variable sampling, adaptively fusing kinematics and data-driven paths to capture driver intention uncertainty while maintaining kinematic consistency. The model is trained using a composite loss function (Focal Loss and Best-of-K) to mitigate dataset long-tail distribution and trajectory divergence. Experiments on the HighD dataset show the proposed model achieves a minADE of 0.425 m and a minFDE of 0.955 m, outperforming baselines and reducing Lat-ADE by 53.9% compared to Social-GAN. These results confirm the model generates smoother, kinematically interpretable trajectories with higher accuracy in long-tail lane-changing scenarios.

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Cite This Study

Li et al. (2026) studied this question.

synapsesocial.com/papers/6a74375e764cddc9499d4aaehttps://doi.org/10.3390/math14152796
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