Adaptive dynamical networks
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …
structural organization. Adaptive dynamical networks represent a broad class of systems that …
Statistical inference links data and theory in network science
The number of network science applications across many different fields has been rapidly
increasing. Surprisingly, the development of theory and domain-specific applications often …
increasing. Surprisingly, the development of theory and domain-specific applications often …
What are higher-order networks?
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …
become an essential topic across a range of different disciplines. Arguably, this graph-based …
Control principles of complex systems
A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …
processes. Importantly, their functionality, ie, whether these networks can perform their …
Data based identification and prediction of nonlinear and complex dynamical systems
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …
data or time series is central to many scientific disciplines including physical, biological …
Information flow and causality as rigorous notions ab initio
XS Liang - Physical Review E, 2016 - APS
Information flow or information transfer the widely applicable general physics notion can be
rigorously derived from first principles, rather than axiomatically proposed as an ansatz. Its …
rigorously derived from first principles, rather than axiomatically proposed as an ansatz. Its …
Full reconstruction of simplicial complexes from binary contagion and Ising data
Previous efforts on data-based reconstruction focused on complex networks with pairwise or
two-body interactions. There is a growing interest in networks with higher-order or many …
two-body interactions. There is a growing interest in networks with higher-order or many …
Predicting network dynamics without requiring the knowledge of the interaction graph
A network consists of two interdependent parts: the network topology or graph, consisting of
the links between nodes and the network dynamics, specified by some governing equations …
the links between nodes and the network dynamics, specified by some governing equations …
Estimation of directed effective connectivity from fMRI functional connectivity hints at asymmetries of cortical connectome
The brain exhibits complex spatio-temporal patterns of activity. This phenomenon is
governed by an interplay between the internal neural dynamics of cortical areas and their …
governed by an interplay between the internal neural dynamics of cortical areas and their …