no code implementations • 13 Mar 2024 • Elizabeth Qian, Anirban Chaudhuri, Dayoung Kang, Vignesh Sella
Machine learning (ML) methods, which fit to data the parameters of a given parameterized model class, have garnered significant interest as potential methods for learning surrogate models for complex engineering systems for which traditional simulation is expensive.
1 code implementation • 5 Jan 2024 • Tomoki Koike, Elizabeth Qian
Many-query computations, in which a computational model for an engineering system must be evaluated many times, are crucial in design and control.
1 code implementation • 25 Nov 2021 • Elizabeth Qian, Jemima M. Tabeart, Christopher Beattie, Serkan Gugercin, Jiahua Jiang, Peter R. Kramer, Akil Narayan
We introduce Gramian definitions relevant to the inference setting and propose a balanced truncation approach based on these inference Gramians that yield a reduced dynamical system that can be used to cheaply approximate the posterior mean and covariance.
2 code implementations • 29 Jan 2021 • Elizabeth Qian, Ionut-Gabriel Farcas, Karen Willcox
First, ideas from projection-based model reduction are used to explicitly parametrize the learned model by low-dimensional polynomial operators which reflect the known form of the governing PDE.
4 code implementations • 17 Dec 2019 • Elizabeth Qian, Boris Kramer, Benjamin Peherstorfer, Karen Willcox
The lifting map is applied to data obtained by evaluating a model for the original nonlinear system.
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