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Review of Data Structures for Computationally Efficient Nearest-Neighbour Entropy Estimators for Large Systems with Periodic Boundary Conditions
Joshua Brown, Terry Bossomaier, Lionel Barnett
Information theoretic quantities are extremely useful in discovering relationships between two or more data sets. One popular method---particularly for continuous systems---for est…
Anomalous Behaviour of Mutual Information in Finite Flocks
Lionel Barnett, Joshua Brown, Terry Bossomaier
The existing consensus is that flocks are poised at criticality, entailing long correlation lengths and a maximal value of Shannon mutual information in the large-system limit. We…
Solved problems and remaining challenges for Granger causality analysis in neuroscience: A response to Stokes and Purdon (2017)
Lionel Barnett, Adam B. Barrett, Anil K. Seth
Granger-Geweke causality (GGC) is a powerful and popular method for identifying directed functional (`causal') connectivity in neuroscience. In a recent paper, Stokes and Purdon [1…