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 …

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 …

A survey on deep learning tools dealing with data scarcity: definitions, challenges, solutions, tips, and applications

L Alzubaidi, J Bai, A Al-Sabaawi, J Santamaría… - Journal of Big Data, 2023 - Springer
Data scarcity is a major challenge when training deep learning (DL) models. DL demands a
large amount of data to achieve exceptional performance. Unfortunately, many applications …

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 …

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

Y Zhu, N Zabaras, PS Koutsourelakis… - Journal of Computational …, 2019 - Elsevier
Surrogate modeling and uncertainty quantification tasks for PDE systems are most often
considered as supervised learning problems where input and output data pairs are used for …

WeatherBench: a benchmark data set for data‐driven weather forecasting

S Rasp, PD Dueben, S Scher, JA Weyn… - Journal of Advances …, 2020 - Wiley Online Library
Data‐driven approaches, most prominently deep learning, have become powerful tools for
prediction in many domains. A natural question to ask is whether data‐driven methods could …

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 …

Solver-in-the-loop: Learning from differentiable physics to interact with iterative pde-solvers

K Um, R Brand, YR Fei, P Holl… - Advances in Neural …, 2020 - proceedings.neurips.cc
Finding accurate solutions to partial differential equations (PDEs) is a crucial task in all
scientific and engineering disciplines. It has recently been shown that machine learning …

A physics-informed diffusion model for high-fidelity flow field reconstruction

D Shu, Z Li, AB Farimani - Journal of Computational Physics, 2023 - Elsevier
Abstract Machine learning models are gaining increasing popularity in the domain of fluid
dynamics for their potential to accelerate the production of high-fidelity computational fluid …