Physics-informed machine learning: case studies for weather and climate modelling

K Kashinath, M Mustafa, A Albert… - … of the Royal …, 2021 - royalsocietypublishing.org
Machine learning (ML) provides novel and powerful ways of accurately and efficiently
recognizing complex patterns, emulating nonlinear dynamics, and predicting the spatio …

Can deep learning beat numerical weather prediction?

MG Schultz, C Betancourt, B Gong… - … of the Royal …, 2021 - royalsocietypublishing.org
The recent hype about artificial intelligence has sparked renewed interest in applying the
successful deep learning (DL) methods for image recognition, speech recognition, robotics …

A survey of uncertainty in deep neural networks

J Gawlikowski, CRN Tassi, M Ali, J Lee, M Humt… - Artificial Intelligence …, 2023 - Springer
Over the last decade, neural networks have reached almost every field of science and
become a crucial part of various real world applications. Due to the increasing spread …

Learning mesh-based simulation with graph networks

T Pfaff, M Fortunato, A Sanchez-Gonzalez… - arxiv preprint arxiv …, 2020 - arxiv.org
Mesh-based simulations are central to modeling complex physical systems in many
disciplines across science and engineering. Mesh representations support powerful …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arxiv preprint arxiv …, 2020 - beiyulincs.github.io
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

Deep learning and process understanding for data-driven Earth system science

M Reichstein, G Camps-Valls, B Stevens, M Jung… - Nature, 2019 - nature.com
Abstract Machine learning approaches are increasingly used to extract patterns and insights
from the ever-increasing stream of geospatial data, but current approaches may not be …

Informed machine learning–a taxonomy and survey of integrating prior knowledge into learning systems

L Von Rueden, S Mayer, K Beckh… - … on Knowledge and …, 2021 - ieeexplore.ieee.org
Despite its great success, machine learning can have its limits when dealing with insufficient
training data. A potential solution is the additional integration of prior knowledge into the …

Learning dynamical systems from data: An introduction to physics-guided deep learning

R Yu, R Wang - Proceedings of the National Academy of Sciences, 2024 - pnas.org
Modeling complex physical dynamics is a fundamental task in science and engineering.
Traditional physics-based models are first-principled, explainable, and sample-efficient …

Integrating scientific knowledge with machine learning for engineering and environmental systems

J Willard, X Jia, S Xu, M Steinbach, V Kumar - ACM Computing Surveys, 2022 - dl.acm.org
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network

Z Long, Y Lu, B Dong - Journal of Computational Physics, 2019 - Elsevier
Partial differential equations (PDEs) are commonly derived based on empirical
observations. However, recent advances of technology enable us to collect and store …