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Phys Rev Lett. 2003 Dec 5;91(23):238701. Epub 2003 Dec 2.

Network information and connected correlations.

Author information

1
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Abstract

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.

PMID:
14683220
DOI:
10.1103/PhysRevLett.91.238701
[Indexed for MEDLINE]

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