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Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis
Zhi-Qin John Xu1, Douglas Zhou2, David Cai1,2,3
1NYUAD Institute, New York University Abu Dhabi, Abu Dhabi 129188, UAE.
Abstract:
Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many fields, e.g., in neuroscience. To better understand the underlying mechanism, we found a relation between the dynamical structure, i.e., effective interactions in MEP analysis, and the anatomical coupling structure of pulse-coupled networks and it helps to understand how a sparse coupling structure could lead to a sparse coding by effective interactions. This relation quantitatively displays how the dynamical structure is closely related to the anatomical coupling structure.
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