Promising directions of machine learning for partial differential equations
SL Brunton, JN Kutz - Nature Computational Science, 2024 - nature.com
Partial differential equations (PDEs) are among the most universal and parsimonious
descriptions of natural physical laws, capturing a rich variety of phenomenology and …
descriptions of natural physical laws, capturing a rich variety of phenomenology and …
[HTML][HTML] Towards neural Earth system modelling by integrating artificial intelligence in Earth system science
Earth system models (ESMs) are our main tools for quantifying the physical state of the Earth
and predicting how it might change in the future under ongoing anthropogenic forcing. In …
and predicting how it might change in the future under ongoing anthropogenic forcing. In …
Discovering causal relations and equations from data
Physics is a field of science that has traditionally used the scientific method to answer
questions about why natural phenomena occur and to make testable models that explain the …
questions about why natural phenomena occur and to make testable models that explain the …
Cloud-based digital twinning for structural health monitoring using deep learning
HV Dang, M Tatipamula… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Digital twin (DT) technology has recently gathered pace in the engineering communities as it
allows for the convergence of the real structure and its digital counterpart throughout their …
allows for the convergence of the real structure and its digital counterpart throughout their …
[HTML][HTML] Improving aircraft performance using machine learning: A review
This review covers the new developments in machine learning (ML) that are impacting the
multi-disciplinary area of aerospace engineering, including fundamental fluid dynamics …
multi-disciplinary area of aerospace engineering, including fundamental fluid dynamics …
Bridging observations, theory and numerical simulation of the ocean using machine learning
Progress within physical oceanography has been concurrent with the increasing
sophistication of tools available for its study. The incorporation of machine learning (ML) …
sophistication of tools available for its study. The incorporation of machine learning (ML) …
Chaos as an interpretable benchmark for forecasting and data-driven modelling
W Gilpin - arXiv preprint arXiv:2110.05266, 2021 - arxiv.org
The striking fractal geometry of strange attractors underscores the generative nature of
chaos: like probability distributions, chaotic systems can be repeatedly measured to produce …
chaos: like probability distributions, chaotic systems can be repeatedly measured to produce …
Review of atmospheric stability estimations for wind power applications
CP Albornoz, MAE Soberanis, VR Rivera… - … and Sustainable Energy …, 2022 - Elsevier
Wind energy has experienced rapid growth in the energy market over the last two decades,
and this growth would not have been possible without the development of wind turbines that …
and this growth would not have been possible without the development of wind turbines that …
[HTML][HTML] Dimensionally consistent learning with Buckingham Pi
In the absence of governing equations, dimensional analysis is a robust technique for
extracting insights and finding symmetries in physical systems. Given measurement …
extracting insights and finding symmetries in physical systems. Given measurement …
[HTML][HTML] Parsimony as the ultimate regularizer for physics-informed machine learning
JN Kutz, SL Brunton - Nonlinear Dynamics, 2022 - Springer
Data-driven modeling continues to be enabled by modern machine learning algorithms and
deep learning architectures. The goals of such efforts revolve around the generation of …
deep learning architectures. The goals of such efforts revolve around the generation of …