Search Results for author: Elizabeth Qian

Found 5 papers, 4 papers with code

Multifidelity linear regression for scientific machine learning from scarce data

no code implementations13 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.

regression

Energy-Preserving Reduced Operator Inference for Efficient Design and Control

1 code implementation5 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.

Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference

1 code implementation25 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.

Bayesian Inference Dimensionality Reduction

Reduced operator inference for nonlinear partial differential equations

2 code implementations29 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.

BIG-bench Machine Learning Dimensionality Reduction

Cannot find the paper you are looking for? You can Submit a new open access paper.