A review on guided-ultrasonic-wave-based structural health monitoring: From fundamental theory to machine learning techniques

Z Yang, H Yang, T Tian, D Deng, M Hu, J Ma, D Gao… - Ultrasonics, 2023 - Elsevier
The development of structural health monitoring (SHM) techniques is of great importance to
improve the structural efficiency and safety. With advantages of long propagation distances …

On neural differential equations

P Kidger - arxiv preprint arxiv:2202.02435, 2022 - arxiv.org
The conjoining of dynamical systems and deep learning has become a topic of great
interest. In particular, neural differential equations (NDEs) demonstrate that neural networks …

Pde-refiner: Achieving accurate long rollouts with neural pde solvers

P Lippe, B Veeling, P Perdikaris… - Advances in …, 2023 - proceedings.neurips.cc
Time-dependent partial differential equations (PDEs) are ubiquitous in science and
engineering. Recently, mostly due to the high computational cost of traditional solution …

Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations

N McGreivy, A Hakim - Nature Machine Intelligence, 2024 - nature.com
One of the most promising applications of machine learning in computational physics is to
accelerate the solution of partial differential equations (PDEs). The key objective of machine …

Physics-informed machine learning: A survey on problems, methods and applications

Z Hao, S Liu, Y Zhang, C Ying, Y Feng, H Su… - arxiv preprint arxiv …, 2022 - arxiv.org
Recent advances of data-driven machine learning have revolutionized fields like computer
vision, reinforcement learning, and many scientific and engineering domains. In many real …

[HTML][HTML] Advancing arctic sea ice remote sensing with ai and deep learning: opportunities and challenges

W Li, CY Hsu, M Tedesco - Remote Sensing, 2024 - mdpi.com
Revolutionary advances in artificial intelligence (AI) in the past decade have brought
transformative innovation across science and engineering disciplines. In the field of Arctic …

Clifford neural layers for pde modeling

J Brandstetter, R Berg, M Welling, JK Gupta - arxiv preprint arxiv …, 2022 - arxiv.org
Partial differential equations (PDEs) see widespread use in sciences and engineering to
describe simulation of physical processes as scalar and vector fields interacting and …

On recurrent neural networks for learning-based control: recent results and ideas for future developments

F Bonassi, M Farina, J **e, R Scattolini - Journal of Process Control, 2022 - Elsevier
This paper aims to discuss and analyze the potentialities of Recurrent Neural Networks
(RNN) in control design applications. The main families of RNN are considered, namely …

Lie point symmetry data augmentation for neural PDE solvers

J Brandstetter, M Welling… - … Conference on Machine …, 2022 - proceedings.mlr.press
Neural networks are increasingly being used to solve partial differential equations (PDEs),
replacing slower numerical solvers. However, a critical issue is that neural PDE solvers …

A posteriori learning for quasi‐geostrophic turbulence parametrization

H Frezat, J Le Sommer, R Fablet… - Journal of Advances …, 2022 - Wiley Online Library
The use of machine learning to build subgrid parametrizations for climate models is
receiving growing attention. State‐of‐the‐art strategies address the problem as a supervised …