Kernel methods for center manifold approximation and a data-based version of the Center Manifold Theorem

no code implementations • 1 Dec 2020 • Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar

We then use an apposite data-based kernel method to construct a suitable approximation of the manifold close to the equilibrium, which is compatible with our general error theory.

Greedy regularized kernel interpolation

1 code implementation • 25 Jul 2018 • Gabriele Santin, Dominik Wittwar, Bernard Haasdonk

Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding function evaluations, or data values.

Numerical Analysis