Signal propagation in complex networks

P Ji, J Ye, Y Mu, W Lin, Y Tian, C Hens, M Perc, Y Tang… - Physics reports, 2023 - Elsevier
Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arXiv preprint arXiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

[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 …

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 …

Approximately equivariant networks for imperfectly symmetric dynamics

R Wang, R Walters, R Yu - International Conference on …, 2022 - proceedings.mlr.press
Incorporating symmetry as an inductive bias into neural network architecture has led to
improvements in generalization, data efficiency, and physical consistency in dynamics …

Koopa: Learning non-stationary time series dynamics with koopman predictors

Y Liu, C Li, J Wang, M Long - Advances in Neural …, 2024 - proceedings.neurips.cc
Real-world time series are characterized by intrinsic non-stationarity that poses a principal
challenge for deep forecasting models. While previous models suffer from complicated …

When physics meets machine learning: A survey of physics-informed machine learning

C Meng, S Seo, D Cao, S Griesemer, Y Liu - arXiv preprint arXiv …, 2022 - arxiv.org
Physics-informed machine learning (PIML), referring to the combination of prior knowledge
of physics, which is the high level abstraction of natural phenomenons and human …

A review of machine learning methods applied to structural dynamics and vibroacoustic

BZ Cunha, C Droz, AM Zine, S Foulard… - Mechanical Systems and …, 2023 - Elsevier
Abstract The use of Machine Learning (ML) has rapidly spread across several fields of
applied sciences, having encountered many applications in Structural Dynamics and …

Shallow neural networks for fluid flow reconstruction with limited sensors

NB Erichson, L Mathelin, Z Yao… - … of the Royal …, 2020 - royalsocietypublishing.org
In many applications, it is important to reconstruct a fluid flow field, or some other high-
dimensional state, from limited measurements and limited data. In this work, we propose a …

Cross-node federated graph neural network for spatio-temporal data modeling

C Meng, S Rambhatla, Y Liu - Proceedings of the 27th ACM SIGKDD …, 2021 - dl.acm.org
Vast amount of data generated from networks of sensors, wearables, and the Internet of
Things (IoT) devices underscores the need for advanced modeling techniques that leverage …