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Published on: December 29, 2021
Probabilistic Bird Trajectory Forecasting with Heavy-Tailed Uncertainty Modeling for Low-Altitude Airspace Monitoring
Feiyang Song1, Zhonghe Liu2,3, Yuyang Zhao2,3
1Department of Electrical and Computer Engineering, Northwestern University, Evanston, IL 60208, USA.
This study introduces Mini-BirdFormer, a unified framework for forecasting bird and drone flight paths in low-altitude airspace. The model accurately predicts trajectories and detects drones with calibrated uncertainty, enabling safe shared airspace monitoring.
Area of Science:
- Computer Vision
- Robotics
- Aerospace Engineering
Background:
- Low-altitude airspace is increasingly shared by birds and unmanned aerial vehicles (UAVs), creating safety concerns.
- Existing trajectory prediction methods often fail to account for heavy-tailed flight dynamics and lack uncertainty calibration.
- Current vision-based systems treat detection and prediction as separate tasks, limiting real-world deployment.
Purpose of the Study:
- To develop a unified framework for low-altitude airspace monitoring, integrating trajectory forecasting and UAV detection.
- To address limitations of existing methods by modeling heavy-tailed flight dynamics and providing calibrated uncertainty.
- To enable efficient, deployable solutions for shared airspace safety.
Main Methods:
- Proposed Mini-BirdFormer, a lightweight Transformer encoder combined with a Student-t mixture density head.
- Modeled heavy-tailed flight dynamics for accurate bird and UAV trajectory prediction.
- Integrated a system-level extension for zero-shot UAV detection using open-vocabulary learning.
Main Results:
- Achieved strong long-horizon trajectory forecasting performance (minADE of 0.785 m) with only 1.05 million parameters.
- Significantly improved uncertainty calibration, reducing negative log-likelihood from 1.25 to -2.01 compared to a Gaussian LSTM baseline.
- Enabled low-latency inference at 616 FPS on resource-constrained platforms and attained 92% recall for zero-shot UAV detection.
Conclusions:
- The proposed framework offers a practical and deployable solution for monitoring shared low-altitude airspace.
- Combining heavy-tailed probabilistic modeling with a compact backbone enhances trajectory forecasting and uncertainty estimation.
- The system effectively addresses safety risks posed by the increasing presence of UAVs in bird-inhabited airspace.
Related Concept Videos
Application of Linearization and Approximation
Uncertainty: Overview
Orthogonal Trajectories
Uncertainty: Confidence Intervals
Propagation of Uncertainty from Random Error
Propagation of Uncertainty from Systematic Error

