The Mixup Euler Characteristic Profile detects regime transitions via Euler characteristics of geometric intersections in delay-embedded trajectories, achieving 9.50 days MAE on Indian monsoon onset with 32% improvement over rolling mean baseline.
Mixup barcodes: quan- tifying geometric-topological interactions between point clouds.arXiv preprint arXiv:2402.15058
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Detecting Regime Transitions in Dynamical Systems via the Mixup Euler Characteristic Profile
The Mixup Euler Characteristic Profile detects regime transitions via Euler characteristics of geometric intersections in delay-embedded trajectories, achieving 9.50 days MAE on Indian monsoon onset with 32% improvement over rolling mean baseline.