1. Hyper-Reduced Autoencoders for Efficient and Accurate Nonlinear Model Reductions
- Author
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Cocola, Jorio, Tencer, John, Rizzi, Francesco, Parish, Eric, and Blonigan, Patrick
- Subjects
Physics - Computational Physics ,Computer Science - Machine Learning ,Mathematics - Numerical Analysis - Abstract
Projection-based model order reduction on nonlinear manifolds has been recently proposed for problems with slowly decaying Kolmogorov n-width such as advection-dominated ones. These methods often use neural networks for manifold learning and showcase improved accuracy over traditional linear subspace-reduced order models. A disadvantage of the previously proposed methods is the potential high computational costs of training the networks on high-fidelity solution snapshots. In this work, we propose and analyze a novel method that overcomes this disadvantage by training a neural network only on subsampled versions of the high-fidelity solution snapshots. This method coupled with collocation-based hyper-reduction and Gappy-POD allows for efficient and accurate surrogate models. We demonstrate the validity of our approach on a 2d Burgers problem.
- Published
- 2023