2 papers
stat.ML2026
Multifidelity Gaussian process regression for solving nonlinear partial differential equations
Fatima-Zahrae El-Boukkouri, Josselin Garnier, Olivier Roustant
Solving nonlinear partial differential equations (PDEs) using kernel methods offers a compelling alternative to traditional numerical solvers. However, the performance of these met…
math.ST2025
General reproducing properties in RKHS with application to derivative and integral operators
Fatima-Zahrae El-Boukkouri, Josselin Garnier, Olivier Roustant
In this paper, we consider the reproducing property in Reproducing Kernel Hilbert Spaces (RKHS). We establish a reproducing property for the closure of the class of combinations of…