Network information and connected correlations

Elad Schneidman, Susanne Still, Michael J. Berry, William Bialek

Research output: Contribution to journalArticlepeer-review

209 Scopus citations


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 [Formula presented]-point correlation is measured by a decrease in entropy for the joint distribution of [Formula presented] variables relative to the maximum entropy allowed by all the observed [Formula presented] 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.

Original languageEnglish (US)
JournalPhysical review letters
Issue number23
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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