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20112026
most citedIntersection Information based on Common Randomness

89 citations · 184 across the 13 of their papers we have counts for

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cs.IT2026

Quantifying Spacetime Integration across a Partition with Synergy

Virgil Griffith

In service to the mathematical underpinnings of the Information Integration Theory of Consciousness (IIT), we introduce four principled measures of integration based on the partial…

cs.IT2015★ 7 cited

Synergy, Redundancy and Common Information

Pradeep Kr. Banerjee, Virgil Griffith

We consider the problem of decomposing the total mutual information conveyed by a pair of predictor random variables about a target random variable into redundant, unique and syner…

cs.IT2014★ 40 cited

Quantifying Redundant Information in Predicting a Target Random Variable

Virgil Griffith, Tracey Ho

This paper considers the problem of defining a measure of redundant information that quantifies how much common information two or more random variables specify about a target rand…

cs.IT2014★ 3 cited

Is Consciousness Computable? Quantifying Integrated Information Using Algorithmic Information Theory

Phil Maguire, Philippe Moser, Rebecca Maguire +1

In this article we review Tononi's (2008) theory of consciousness as integrated information. We argue that previous formalizations of integrated information (e.g. Griffith, 2014) d…

cs.IT2014★ 1 cited

A Principled Infotheoretic ϕ-like Measure

Virgil Griffith

Integrated information theory is a mathematical, quantifiable theory of conscious experience. The linchpin of this theory, the measure, quantifies a system's irreducibility to…

cs.IT2013

Irreducibility is Minimum Synergy Among Parts

Virgil Griffith, Jonathan Harel

For readers already familiar with Partial Information Decomposition (PID), we show that PID's definition of synergy enables quantifying at least four different notions of irreducib…

cs.IT2013★ 89 cited

Intersection Information based on Common Randomness

Virgil Griffith, Edwin K. P. Chong, Ryan G. James +2

The introduction of the partial information decomposition generated a flurry of proposals for defining an intersection information that quantifies how much of "the same information…

cs.IT2012★ 3 cited

Quantifying synergistic mutual information

Virgil Griffith, Christof Koch

Quantifying cooperation or synergy among random variables in predicting a single target random variable is an important problem in many complex systems. We review three prior infor…

cs.IT2011★ 2 cited

Quantifying synergistic information remains an unsolved problem

Virgil Griffith

This paper has been withdrawn by the author. This paper is now obsolete. For a solution please see: arXiv:/1205.4265.