2 papers
math.DS2025
Koopman Kalman Filter (KKF): An asymptotically optimal nonlinear filtering algorithm with error bounds and its application to parameter estimation
Diego OlguÃn, Axel Osses, Héctor RamÃrez
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 OlguÃn, Axel Osses, Héctor RamÃrez
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…