Table 4 Summary of key mathematical innovations and performance gains in advanced uav tracking.

From: Advanced algorithms for UAV tracking of targets exhibiting start-stop and irregular motion

Innovation

Mathematical Contribution

Performance Gain

Innovation-based Model Switching

Confidence metric \(\:{C}_{i}\left(k\right)\) for automatic motion model selection

+ 23.4% vs. Standard KF

Jerk-compensated α-β-γ-δ Filter

Four-parameter state prediction with adaptive optimization

+ 15–25% irregular motion

Flow-guided Margin Loss

Motion-weighted loss function for the long-tail problem

+ 18.7% large motion tracking

3D-to-2D Uncertainty Propagation

Covariance projection for measurement guidance

2.3s recovery time