1.2k citations · 1.9k across the 13 of their papers we have counts for
15 papers
Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems
Lionel Barnett, Anil K. Seth
We introduce a notion of emergence for coarse-grained macroscopic variables associated with highly-multivariate microscopic dynamical processes, in the context of a coupled dynamic…
Sampling distribution for single-regression Granger causality estimators
A. J. Gutknecht, L. Barnett
We show for the first time that, under the null hypothesis of vanishing Granger causality, the single-regression Granger-Geweke estimator converges to a generalised distribut…
Inferring the temporal structure of directed functional connectivity in neural systems: some extensions to Granger causality
Lionel Barnett, Anil K. Seth
Neural processes in the brain operate at a range of temporal scales. Granger causality, the most widely-used neuroscientific tool for inference of directed functional connectivity…
Information Flow in First-Order Potts Model Phase Transition
Joshua Brown, Terry Bossomaier, Lionel Barnett
Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that…
Information Flow in Finite Flocks with Topological Interactions
Joshua Brown, Terry Bossomaier, Lionel Barnett
We simulate the Vicsek model utilising topological neighbour interactions and estimate information theoretic quantities as a function of noise, the variability in the extent to whi…
Information Flow in Finite Flocks
Joshua Brown, Terry Bossomaier, Lionel Barnett
We simulate the canonical Vicsek model and estimate the flow of information as a function of noise (the variability in the extent to which each animal aligns with its neighbours).…