Search Results for author: Diana Halikias

Found 3 papers, 2 papers with code

Operator learning without the adjoint

1 code implementation31 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?

Operator learning

Elliptic PDE learning is provably data-efficient

1 code implementation24 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.

Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks

no code implementations23 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.

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