Operator learning for complex, nonlinear, operators, is increasingly common in modeling physical systems. However, training machine learning methods to learn such operators requires a large amount of expensive, high-fidelity data. In this work we present a composite Deep Operator Network (DeepONets) for learning using two datasets with different levels of fidelity, to accurately learn complex operators when sufficient high-fidelity data is not available. Additionally, we demonstrate that the presence of low-fidelity data can improve the predictions of physics-informed learning with DeepONets.
Published: October 13, 2023
Citation
Howard A.A., M. Perego, G.E. Karniadakis, G.E. Karniadakis, and P. Stinis. 2023.Multifidelity Deep Operator Networks For Data-Driven and Physics-Informed Problems.Journal of Computational Physics 493.PNNL-SA-172145.doi:10.1016/j.jcp.2023.112462