2 papers
cs.CE2026
Interpretable and flexible non-intrusive reduced-order models using reproducing kernel Hilbert spaces
Alejandro N Diaz, Shane A McQuarrie, John T Tencer +1
This paper develops an interpretable, non-intrusive reduced-order modeling technique using regularized kernel interpolation. Existing non-intrusive approaches approximate the dynam…
cs.CE2025
Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces
Alejandro N. Diaz, Jacob T. Needels, Irina K. Tezaur +1
This paper generalizes recent advances on quadratic manifold (QM) dimensionality reduction by developing kernel methods-based nonlinear-augmentation dimensionality reduction. QMs,…