1 code implementation • 9 Sep 2023 • Robert Stephany, Christopher Earls
We introduce Weak-PDE-LEARN, a Partial Differential Equation (PDE) discovery algorithm that can identify non-linear PDEs from noisy, limited measurements of their solutions.
1 code implementation • 3 Apr 2023 • Maria Oprea, Mark Walth, Robert Stephany, Gabriella Torres Nothaft, Arnaldo Rodriguez-Gonzalez, William Clark
The intersection of machine learning and dynamical systems has generated considerable interest recently.
1 code implementation • 9 Dec 2022 • Robert Stephany, Christopher Earls
In this paper, we introduce PDE-LEARN, a novel deep learning algorithm that can identify governing partial differential equations (PDEs) directly from noisy, limited measurements of a physical system of interest.
2 code implementations • 1 Nov 2021 • Robert Stephany, Christopher Earls
We introduce a new approach for PDE discovery that uses two Rational Neural Networks and a principled sparse regression algorithm to identify the hidden dynamics that govern a system's response.