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 …

Causal connectivity measures for pulse-output network reconstruction: Analysis and applications

ZK Tian, K Chen, S Li… - Proceedings of the …, 2024 - National Acad Sciences
The causal connectivity of a network is often inferred to understand network function. It is
arguably acknowledged that the inferred causal connectivity relies on the causality measure …

Machine learning link inference of noisy delay-coupled networks with optoelectronic experimental tests

A Banerjee, JD Hart, R Roy, E Ott - Physical Review X, 2021 - APS
We devise a machine learning technique to solve the general problem of inferring network
links that have time delays using only time series data of the network nodal states. This task …

Causal inference in nonlinear systems: Granger causality versus time-delayed mutual information

S Li, Y Xiao, D Zhou, D Cai - Physical Review E, 2018 - APS
The Granger causality (GC) analysis has been extensively applied to infer causal
interactions in dynamical systems arising from economy and finance, physics …

Machine learning prediction of network dynamics with privacy protection

X Xia, Y Su, L Lü, X Zhang, YC Lai, HF Zhang - Physical Review Research, 2022 - APS
Predicting network dynamics based on data, a problem with broad applications, has been
studied extensively in the past, but most existing approaches assume that the complete set …

Data based reconstruction of duplex networks

C Ma, HS Chen, X Li, YC Lai, HF Zhang - SIAM Journal on Applied Dynamical …, 2020 - SIAM
It has been recognized that many complex dynamical systems in the real world require a
description in terms of multiplex networks, where a set of common, mutually connected …

Granger causality network reconstruction of conductance-based integrate-and-fire neuronal systems

D Zhou, Y Xiao, Y Zhang, Z Xu, D Cai - PloS one, 2014 - journals.plos.org
Reconstruction of anatomical connectivity from measured dynamical activities of coupled
neurons is one of the fundamental issues in the understanding of structure-function …

Statistical inference approach to structural reconstruction of complex networks from binary time series

C Ma, HS Chen, YC Lai, HF Zhang - Physical Review E, 2018 - APS
Complex networks hosting binary-state dynamics arise in a variety of contexts. In spite of
previous works, to fully reconstruct the network structure from observed binary data remains …

Data-based reconstruction of complex geospatial networks, nodal positioning and detection of hidden nodes

RQ Su, WX Wang, X Wang… - Royal Society Open …, 2016 - royalsocietypublishing.org
Given a complex geospatial network with nodes distributed in a two-dimensional region of
physical space, can the locations of the nodes be determined and their connection patterns …

Maximum entropy principle underlies wiring length distribution in brain networks

Y Song, D Zhou, S Li - Cerebral cortex, 2021 - academic.oup.com
A brain network comprises a substantial amount of short-range connections with an
admixture of long-range connections. The portion of long-range connections in brain …