Learning Generalized Diffusions using an Energetic Variational Approach

Y Lu, X Li, C Liu, Q Tang, Y Wang - arxiv preprint arxiv:2412.04480, 2024 - arxiv.org
Extracting governing physical laws from computational or experimental data is crucial across
various fields such as fluid dynamics and plasma physics. Many of those physical laws are …

Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification

C Offen - arxiv preprint arxiv:2404.19626, 2024 - arxiv.org
The article introduces a method to learn dynamical systems that are governed by Euler--
Lagrange equations from data. The method is based on Gaussian process regression and …