Signal propagation in complex networks
Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
Integrating scientific knowledge with machine learning for engineering and environmental systems
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 …
require novel methodologies that are able to integrate traditional physics-based modeling …
[PDF][PDF] Integrating physics-based modeling with machine learning: A survey
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 …
require novel methodologies that are able to integrate traditional physics-based modeling …
Koopman operator dynamical models: Learning, analysis and control
The Koopman operator allows for handling nonlinear systems through a globally linear
representation. In general, the operator is infinite-dimensional–necessitating finite …
representation. In general, the operator is infinite-dimensional–necessitating finite …
Forecasting sequential data using consistent koopman autoencoders
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 …
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
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 …
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 …
dynamical systems as it provides coordinate transformations to globally linearize the …
Learning compositional koopman operators for model-based control
Finding an embedding space for a linear approximation of a nonlinear dynamical system
enables efficient system identification and control synthesis. The Koopman operator theory …
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 …
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 …
dimensional functional space and it allows to apply linear control methods to highly …