Author

Joachim Bona-Pellissier

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Preprint Jul 2026

PIKS: Universal Physics-Informed Kernel Methods

The universal consistency of PIKS is established for linear differential constraints, proving that for universal kernels (such as Gaussian or Mat\'ern), the estimator asymptotically learns the target while satisfying physical constraints.

Joachim Bona-Pellissier, Giacomo Meanti, Matteo Santacesaria et al. · 0 citations