3 papers
eess.SP2025
A Closed-Form Solution for Kernel Adaptive Filtering
Benjamin Colburn, Luis G. Sanchez Giraldo, Kan Li +1
Unlike the conventional kernel adaptive filtering (KAF) approach of using a fixed kernel to define the Reproducing Kernel Hilbert Space (RKHS), this paper embeds the statistics of…
eess.SP2025
Spectral Eigenfunction Decomposition for Kernel Adaptive Filtering
Kan Li, Jose C. Principe
Kernel adaptive filtering (KAF) integrates traditional linear algorithms with kernel methods to generate nonlinear solutions in the input space. The standard approach relies on the…
cs.LG2024
Kernel Operator-Theoretic Bayesian Filter for Nonlinear Dynamical Systems
Kan Li, José C. PrÃncipe
Motivated by the surge of interest in Koopman operator theory, we propose a machine-learning alternative based on a functional Bayesian perspective for operator-theoretic modeling…