arXiv Machine Learning

Interpretability and Generalization Bounds for Learning Spatial Physics

arXiv:2506. 15199v4 Announce Type: replace Abstract: While there are many applications of ML to scientific problems that look promising, visuals can be deceiving.

arXiv AI
Jun 3

Introduction to optimization methods for training SciML models

arXiv:2601. 10222v2 Announce Type: replace-cross Abstract: Optimization is central to both modern machine learning (ML) and scientific machine learning (SciML), yet the structure of the underlying optimization problems differs substantially across these domains.

By Alena Kopani\v{c}\'akov\'a, Elisa Riccietti
arXiv Machine Learning
Jul 30

PIKS: Universal Physics-Informed Kernel Methods

arXiv:2607. 27062v1 Announce Type: cross Abstract: Physics-informed machine learning incorporates physical principles --often expressed via differential operators-- into data-driven models.

By Joachim Bona-Pellissier, Giacomo Meanti, Matteo Santacesaria, Lorenzo Rosasco