  Maximum entropy principle (MEP) analysis with few non-zero effective
interactions successfully characterizes the distribution of dynamical states of
pulse-coupled networks in many experiments, 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 coupling
structure of pulse-coupled network 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 coupling structure.
