3 papers
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…
cond-mat.mtrl-sci2020
Total energy calculation for the metallic hcp phase of Zn in the bulk, layered, and quantum dot limits
D. Olguín
The structural and electronic properties of the metallic hcp phase of Zn in the bulk, monolayer, bilayer, and quantum dot limits have been studied by using total energy calculation…