3 papers
stat.AP2026
Forecasting Seasonal Peaks of Pediatric Respiratory Infections Using an Alert-Based Model Combining SIR Dynamics and Historical Trends in Santiago, Chile
Gloria Henríquez, Jhoan Báez, Víctor Riquelme +3
Acute respiratory infections (ARI) are a major cause of pediatric hospitalization in Chile, producing marked winter increases in demand that challenge hospital planning. This study…
math.DS2025
Koopman Kalman Filter (KKF): An asymptotically optimal nonlinear filtering algorithm with error bounds and its application to parameter estimation
Diego Olguín, Axel Osses, Héctor Ramírez
In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynam…
math.NA2025
Improved error bounds for Koopman operator and reconstructed trajectories approximations with kernel-based methods
Diego Olguín, Axel Osses, Héctor Ramírez
In this article, we propose a new error bound for Koopman operator approximation using Kernel Extended Dynamic Mode Decomposition. The new estimate is , with a constan…