no code implementations • 3 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.
1 code implementation • 8 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.
2 code implementations • 21 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.
no code implementations • 21 Jun 2021 • Margaret Trautner, Ziwei Li, Sai Ravela
The optimal design of neural networks is a critical problem in many applications.
no code implementations • 22 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.
no code implementations • 23 Nov 2019 • Margaret Trautner, Sai Ravela
Using the polynomial class of dynamical systems, we demonstrate the equivalence of neural and numerical integration.