Yves F. Atchadé

PDE-constrained inverse problems at the $\sqrt{n}$ rate via debiased physics-informed neural networks

We study the problem of estimating unknown parameters in PDE-constrained inverse problems from noisy observations, where the PDE solution is approximated using Physics-Informed Neural Networks (PINNs). While PINNs have demonstrated remarkable empirical success, existing estimators often inherit the slow nonparametric c...