Search Results for author: Margaret Trautner

Found 6 papers, 2 papers with code

Discretization Error of Fourier Neural Operators

no code implementations3 May 2024 Samuel Lanthaler, Andrew M. Stuart, Margaret Trautner

Operator learning is a variant of machine learning that is designed to approximate maps between function spaces from data.

Operator learning

An operator learning perspective on parameter-to-observable maps

1 code implementation8 Feb 2024 Daniel Zhengyu Huang, Nicholas H. Nelsen, Margaret Trautner

Computationally efficient surrogates for parametrized physical models play a crucial role in science and engineering.

Operator learning

Learning Homogenization for Elliptic Operators

2 code implementations21 Jun 2023 Kaushik Bhattacharya, Nikola Kovachki, Aakila Rajan, Andrew M. Stuart, Margaret Trautner

However, a major challenge in data-driven learning approaches for this problem has remained unexplored: the impact of discontinuities and corner interfaces in the underlying material.

Learn Like The Pro: Norms from Theory to Size Neural Computation

no code implementations21 Jun 2021 Margaret Trautner, Ziwei Li, Sai Ravela

The optimal design of neural networks is a critical problem in many applications.

Informative Neural Ensemble Kalman Learning

no code implementations22 Aug 2020 Margaret Trautner, Gabriel Margolis, Sai Ravela

In stochastic systems, informative approaches select key measurement or decision variables that maximize information gain to enhance the efficacy of model-related inferences.

Neural Integration of Continuous Dynamics

no code implementations23 Nov 2019 Margaret Trautner, Sai Ravela

Using the polynomial class of dynamical systems, we demonstrate the equivalence of neural and numerical integration.

Numerical Integration

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