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cs.LG2025
Unrolled-SINDy: A Stable Explicit Method for Non linear PDE Discovery from Sparsely Sampled Data
Fayad Ali Banna, Antoine Caradot, Eduardo Brandao +3
Identifying from observation data the governing differential equations of a physical dynamics is a key challenge in machine learning. Although approaches based on SINDy have shown…
physics.optics2025
Photonic Learning in Ultrafast Laser-Induced Complexity
Fayad Ali Banna, Eduardo Brandao, Anthony Nakhoul +3
How can one design complex systems capable of learning for a given functionality? In the context of ultrafast laser-surface interaction, we unravel the nature of learning schemes t…
cs.LG2025
Provably Accurate Adaptive Sampling for Collocation Points in Physics-informed Neural Networks
Antoine Caradot, Rémi Emonet, Amaury Habrard +2
Despite considerable scientific advances in numerical simulation, efficiently solving PDEs remains a complex and often expensive problem. Physics-informed Neural Networks (PINN) ha…