1 code implementation • 20 Feb 2024 • Nithin Chalapathi, Yiheng Du, Aditi Krishnapriyan
Our approach imposes the constraint over smaller decomposed domains, each of which is solved by an "expert" through differentiable optimization.
1 code implementation • 8 Dec 2023 • Yiheng Du, Nithin Chalapathi, Aditi Krishnapriyan
In contrast to current machine learning approaches which enforce PDE constraints by minimizing the numerical quadrature of the residuals in the spatiotemporal domain, we leverage Parseval's identity and introduce a new training strategy through a \textit{spectral loss}.
1 code implementation • 24 Feb 2022 • Da Long, Zheng Wang, Aditi Krishnapriyan, Robert Kirby, Shandian Zhe, Michael Mahoney
Physical modeling is critical for many modern science and engineering applications.