4–5 déc. 2023
IMT
Fuseau horaire Europe/Paris

Some statistical insights into PINNs

4 déc. 2023, 14:00
45m
Amphi Schwartz (IMT)

Amphi Schwartz

IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

Orateur

Nathan DOUMECHE (Sorbonne Université)

Description

Physics-informed neural networks (PINNs) combine the expressiveness of neural networks with the interpretability of physical modeling. Their good practical performance has been demonstrated both in the context of solving partial differential equations and in the context of hybrid modeling, which consists of combining an imperfect physical model with noisy observations. However, most of their theoretical properties remain to be established. We offer some statistical guidelines into the proper use of PINNs.

Documents de présentation