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 …

Real-time tracking of neuronal network structure using data assimilation

F Hamilton, T Berry, N Peixoto, T Sauer - Physical Review E—Statistical …, 2013 - APS
A nonlinear data assimilation technique is applied to determine and track effective
connections between ensembles of cultured spinal cord neurons measured with …

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 …

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 …

Granger causality for compressively sensed sparse signals

A Kathpalia, N Nagaraj - Physical Review E, 2023 - APS
Compressed sensing is a scheme that allows for sparse signals to be acquired, transmitted,
and stored using far fewer measurements than done by conventional means employing the …

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 …

[HTML][HTML] Nearly assumptionless screening for the mutually-exciting multivariate Hawkes process

S Chen, D Witten, A Shojaie - Electronic journal of statistics, 2017 - ncbi.nlm.nih.gov
We consider the task of learning the structure of the graph underlying a mutually-exciting
multivariate Hawkes process in the high-dimensional setting. We propose a simple and …

Reconstructing complex networks without time series

C Ma, HF Zhang, YC Lai - Physical Review E, 2017 - APS
In the real world there are situations where the network dynamics are transient (eg, various
spreading processes) and the final nodal states represent the available data. Can the …

Identifying chaotic FitzHugh–Nagumo neurons using compressive sensing

RQ Su, YC Lai, X Wang - Entropy, 2014 - mdpi.com
We develop a completely data-driven approach to reconstructing coupled neuronal
networks that contain a small subset of chaotic neurons. Such chaotic elements can be the …

Learning healthcare delivery network with longitudinal electronic health records data

J Sun, KP Liao, T Cai - The Annals of Applied Statistics, 2024 - projecteuclid.org
Learning healthcare delivery network with longitudinal electronic health records data Page 1
The Annals of Applied Statistics 2024, Vol. 18, No. 1, 882–898 https://doi.org/10.1214/23-AOAS1818 …