Journal
PHYSICAL REVIEW LETTERS
Volume 91, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.91.238701
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Entropy and information provide natural measures of correlation among elements in a network. We construct here the information theoretic analog of connected correlation functions: irreducible N-point correlation is measured by a decrease in entropy for the joint distribution of N variables relative to the maximum entropy allowed by all the observed N-1 variable distributions. We calculate the connected information terms for several examples and show that it also enables the decomposition of the information that is carried by a population of elements about an outside source.
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