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Florent Bonnet

2 accepted papers

2024

An operator preconditioning perspective on training in physics-informed machine learning

ICLR 2024poster

In this paper, we investigate the behavior of gradient descent algorithms in physics-informed machine learning methods like PINNs, which minimize residuals connected to partial differential equations (PDEs). Our key result is that the difficulty in training these models is closely related to the con…

Cited by 29SourcePDFScholar
2022

AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier–Stokes Solutions

NeurIPS 2022accept

Surrogate models are necessary to optimize meaningful quantities in physical dynamics as their recursive numerical resolutions are often prohibitively expensive. It is mainly the case for fluid dynamics and the resolution of Navier–Stokes equations. However, despite the fast-growing field of data-dr…

Cited by 72SourcePDFScholar