Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Reverse engineering and identification in systems biology: strategies, perspectives and challenges

AF Villaverde, JR Banga - Journal of the Royal Society …, 2014 - royalsocietypublishing.org
The interplay of mathematical modelling with experiments is one of the central elements in
systems biology. The aim of reverse engineering is to infer, analyse and understand …

Sparse identification of nonlinear dynamics for model predictive control in the low-data limit

E Kaiser, JN Kutz, SL Brunton - Proceedings of the …, 2018 - royalsocietypublishing.org
Data-driven discovery of dynamics via machine learning is pushing the frontiers of modelling
and control efforts, providing a tremendous opportunity to extend the reach of model …

Inferring biological networks by sparse identification of nonlinear dynamics

NM Mangan, SL Brunton, JL Proctor… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Inferring the structure and dynamics of network models is critical to understanding the
functionality and control of complex systems, such as metabolic and regulatory biological …

Data driven discovery of cyber physical systems

Y Yuan, X Tang, W Zhou, W Pan, X Li, HT Zhang… - Nature …, 2019 - nature.com
Cyber-physical systems embed software into the physical world. They appear in a wide
range of applications such as smart grids, robotics, and intelligent manufacturing. Cyber …

Reactive SINDy: Discovering governing reactions from concentration data

M Hoffmann, C Fröhner, F Noé - The Journal of chemical physics, 2019 - pubs.aip.org
The inner workings of a biological cell or a chemical reactor can be rationalized by the
network of reactions, whose structure reveals the most important functional mechanisms. For …

A sparse Bayesian approach to the identification of nonlinear state-space systems

W Pan, Y Yuan, J Gonçalves… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This technical note considers the identification of nonlinear discrete-time systems with
additive process noise but without measurement noise. In particular, we propose a method …

[HTML][HTML] Data-driven discovery of stochastic differential equations

Y Wang, H Fang, J **, G Ma, X He, X Dai, Z Yue… - Engineering, 2022 - Elsevier
Stochastic differential equations (SDEs) are mathematical models that are widely used to
describe complex processes or phenomena perturbed by random noise from different …

Online identification of time-varying dynamical systems for industrial robots based on sparse Bayesian learning

T Shen, YL Dong, DX He, Y Yuan - Science China Technological Sciences, 2022 - Springer
Nowadays, industrial robots have been widely used in manufacturing, healthcare,
packaging, and more. Choosing robots in these applications mainly attributes to their …

State-space network topology identification from partial observations

M Coutino, E Isufi, T Maehara… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this article, we explore the state-space formulation of a network process to recover from
partial observations the network topology that drives its dynamics. To do so, we employ …