48 citations · 122 across the 18 of their papers we have counts for
3 papers · 2 filters
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets
Subhayan De, Matthew Reynolds, Malik Hassanaly +2
Recent advances in modeling large-scale complex physical systems have shifted research focuses towards data-driven techniques. However, generating datasets by simulating complex sy…
GenMod: A generative modeling approach for spectral representation of PDEs with random inputs
Jacqueline Wentz, Alireza Doostan
We propose a method for quantifying uncertainty in high-dimensional PDE systems with random parameters, where the number of solution evaluations is small. Parametric PDE solutions…
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study
Alexandre Cortiella, Kwang-Chun Park, Alireza Doostan
In recent years, identification of nonlinear dynamical systems from data has become increasingly popular. Sparse regression approaches, such as Sparse Identification of Nonlinear D…