2 papers
cs.CG2026
Flow-Aware Ellipsoidal Filtration for Persistent Homology of Recurrent Signals
Omer Bahadir Eryilmaz, Cihan Katar, Max A. Little
Recurrent signals give rise to trajectories that repeatedly return close to earlier states in state space. Many analysis methods therefore require a principled notion of similarity…
cs.CG2025
Ellipsoidal Filtration for Topological Denoising of Recurrent Signals
Omer Bahadir Eryilmaz, Cihan Katar, Max A. Little
We introduce ellipsoidal filtration, a novel method for persistent homology, and demonstrate its effectiveness in denoising recurrent signals. Unlike standard Rips filtrations, whi…