no code implementations • 22 Aug 2023 • Ellery Rajagopal, Anantha N. S. Babu, Tony Ryu, Patrick J. Haley Jr., Chris Mirabito, Pierre F. J. Lermusiaux
The present work investigates the possible effectiveness of such deep neural operator models for reproducing and predicting classic fluid flows and simulations of realistic ocean dynamics.
no code implementations • 4 Jul 2023 • Andreas Doering, Marius Wiggert, Hanna Krasowski, Manan Doshi, Pierre F. J. Lermusiaux, Claire J. Tomlin
We demonstrate the safety of our approach in such realistic situations empirically with large-scale simulations of a vessel navigating in high-risk regions in the Northeast Pacific.
no code implementations • 4 Jul 2023 • Matthias Killer, Marius Wiggert, Hanna Krasowski, Manan Doshi, Pierre F. J. Lermusiaux, Claire J. Tomlin
We propose a dynamic programming-based method to efficiently solve for the optimal growth value function when true currents are known.
1 code implementation • 15 Jan 2023 • Abhinav Gupta, Pierre F. J. Lermusiaux
Improving the predictive capability and computational cost of dynamical models is often at the heart of augmenting computational physics with machine learning (ML).
no code implementations • 12 Nov 2022 • Abhinav Gupta, Pierre F. J. Lermusiaux
We develop a Bayesian model learning methodology that allows interpolation in the space of candidate models and discovery of new models from noisy, sparse, and indirect observations, all while estimating state fields and parameter values, as well as the joint PDFs of all learned quantities.
no code implementations • 25 Sep 2022 • Corbin Foucart, Aaron Charous, Pierre F. J. Lermusiaux
Finite element discretizations of problems in computational physics often rely on adaptive mesh refinement (AMR) to preferentially resolve regions containing important features during simulation.
1 code implementation • 27 Dec 2020 • Abhinav Gupta, Pierre F. J. Lermusiaux
The new "neural closure models" augment low-fidelity models with neural delay differential equations (nDDEs), motivated by the Mori-Zwanzig formulation and the inherent delays in complex dynamical systems.