1 code implementation • 31 Jan 2024 • Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend
There is a mystery at the heart of operator learning: how can one recover a non-self-adjoint operator from data without probing the adjoint?
1 code implementation • 24 Feb 2023 • Nicolas Boullé, Diana Halikias, Alex Townsend
PDE learning is an emerging field that combines physics and machine learning to recover unknown physical systems from experimental data.
no code implementations • 23 Sep 2021 • Annan Yu, Chloé Becquey, Diana Halikias, Matthew Esmaili Mallory, Alex Townsend
Here, we prove that operator NNs of bounded width and arbitrary depth are universal approximators for continuous nonlinear operators.