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Updated: Aug 29, 2026

CorrelationCalculator and Filigree: Tools for Data-Driven Network Analysis of Metabolomics Data
Published on: November 10, 2023
Network information and connected correlations
Elad Schneidman1, Susanne Still, Michael J Berry
1Department 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.
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