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 …

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 …

[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 …

Koopman operator dynamical models: Learning, analysis and control

P Bevanda, S Sosnowski, S Hirche - Annual Reviews in Control, 2021 - Elsevier
The Koopman operator allows for handling nonlinear systems through a globally linear
representation. In general, the operator is infinite-dimensional–necessitating finite …

Forecasting sequential data using consistent koopman autoencoders

O Azencot, NB Erichson, V Lin… - … on Machine Learning, 2020 - proceedings.mlr.press
Recurrent neural networks are widely used on time series data, yet such models often
ignore the underlying physical structures in such sequences. A new class of physics-based …

Neural koopman pooling: Control-inspired temporal dynamics encoding for skeleton-based action recognition

X Wang, X Xu, Y Mu - … of the IEEE/CVF Conference on …, 2023 - openaccess.thecvf.com
Skeleton-based human action recognition is becoming increasingly important in a variety of
fields. Most existing works train a CNN or GCN based backbone to extract spatial-temporal …

Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability

S Pan, K Duraisamy - SIAM Journal on Applied Dynamical Systems, 2020 - SIAM
The Koopman operator has emerged as a powerful tool for the analysis of nonlinear
dynamical systems as it provides coordinate transformations to globally linearize the …

Learning compositional koopman operators for model-based control

Y Li, H He, J Wu, D Katabi, A Torralba - arXiv preprint arXiv:1910.08264, 2019 - arxiv.org
Finding an embedding space for a linear approximation of a nonlinear dynamical system
enables efficient system identification and control synthesis. The Koopman operator theory …

Deep neural networks with Koopman operators for modeling and control of autonomous vehicles

Y Xiao, X Zhang, X Xu, X Liu… - IEEE transactions on …, 2022 - ieeexplore.ieee.org
Autonomous driving technologies have received notable attention in the past decades. In
autonomous driving systems, identifying a precise dynamical model for motion control is …

DeSKO: Stability-assured robust control with a deep stochastic Koopman operator

M Han, J Euler-Rolle… - … Conference on Learning …, 2021 - openreview.net
The Koopman operator theory linearly describes nonlinear dynamical systems in a high-
dimensional functional space and it allows to apply linear control methods to highly …