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Physics guided machine learning using simplified theories

Pawar, Suraj; San, Omer; Aksoylu, Burak; Rasheed, Adil; Kvamsdal, Trond
Peer reviewed, Journal article
Published version
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Pawar.pdf (Locked)
URI
https://hdl.handle.net/11250/2728798
Date
2021
Metadata
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  • Institutt for matematiske fag [1434]
  • Institutt for teknisk kybernetikk [2251]
  • Publikasjoner fra CRIStin - NTNU [20948]
Original version
10.1063/5.0038929
Abstract
Recent applications of machine learning, in particular deep learning, motivate the need to address the generalizability of the statistical inference approaches in physical sciences. In this Letter, we introduce a modular physics guided machine learning framework to improve the accuracy of such data-driven predictive engines. The chief idea in our approach is to augment the knowledge of the simplified theories with the underlying learning process. To emphasize their physical importance, our architecture consists of adding certain features at intermediate layers rather than in the input layer. To demonstrate our approach, we select a canonical airfoil aerodynamic problem with the enhancement of the potential flow theory. We include the features obtained by a panel method that can be computed efficiently for an unseen configuration in our training procedure. By addressing the generalizability concerns, our results suggest that the proposed feature enhancement approach can be effectively used in many scientific machine learning applications, especially for the systems where we can use a theoretical, empirical, or simplified model to guide the learning module.
Publisher
American Institute of Physics, American Physical Society, Division of Fluid Dynamics
Journal
Physics of Fluids

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