adaptive materials 1dissipative structures 1structural memory 1surface patterning 1thermoconvective instability 1ultrafast lasers 1
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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…
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…