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February 19, 2026Sensors0 citationsOpen Access

Probabilistic Bird Trajectory Forecasting with Heavy-Tailed Uncertainty Modeling for Low-Altitude Airspace Monitoring

FSFeiyang SongZLZhonghe LiuYZYuan Zhao

Key Points

  • The aim is to improve trajectory forecasting for birds in low-altitude airspace shared with UAVs by modeling heavy-tailed uncertainties.
  • Developed Mini-BirdFormer combining a lightweight Transformer encoder and a Student-t mixture density head.
  • Conducted experiments using a real-world dataset for long-horizon trajectory prediction.
  • Implemented zero-shot UAV detection using open-vocabulary learning.
  • Achieved a minimum Average Displacement Error (minADE) of 0.785 m.
  • Reduced negative log-likelihood from 1.25 to -2.01 compared to a Gaussian LSTM baseline.
  • Enabled low-latency inference at 616 FPS with only 1.05 million parameters.

Abstract

The low-altitude airspace of bird flocks is gradually shared by unmanned aerial vehicles (UAVs), posing safety risks that necessitate accurate trajectory forecasting. However, existing vision-based methods often treat trajectory prediction and UAV detection as separate tasks, assume light-tailed Gaussian noise, and rely on heavy backbones. These limitations, when applied to bird trajectory forecasting, limit uncertainty calibration and embedded deployment in ground-based monocular surveillance. In this work, we propose a unified framework for low-altitude monitoring. Its core, Mini-BirdFormer, combines a lightweight Transformer encoder with a Student-t mixture density head to model heavy-tailed flight dynamics and produce calibrated uncertainty. Experiments on a real-world dataset show the model achieves strong long-horizon performance with only 1.05 million parameters, attaining a minADE of 0.785 m and reducing negative log-likelihood from 1.25 to −2.01 (lower is better) compared with a Gaussian Long Short-Term Memory (LSTM) baseline. Crucially, it enables low-latency inference on resource-constrained platforms at 616 FPS. Additionally, a system-level extension supports zero-shot UAV detection via open-vocabulary learning, attaining 92% recall without false alarms. Results demonstrate that combining heavy-tailed probabilistic modeling with a compact backbone provides a practical, deployable approach for monitoring shared airspace.

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Cite This Study

Song et al. (2026) studied this question.

synapsesocial.com/papers/6996a80aecb39a600b3ee640https://doi.org/10.3390/s26041270
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