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Entropy 2014, 16(4), 1985-2000; doi:10.3390/e16041985

Intersection Information Based on Common Randomness

1,* , 2
, 3
, 4
 and 5,6
Received: 25 October 2013 / Revised: 27 March 2014 / Accepted: 28 March 2014 / Published: 4 April 2014
(This article belongs to the Special Issue Entropy Methods in Guided Self-Organization)
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Abstract: 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” two or more random variables specify about a target random variable. As of yet, none is wholly satisfactory. A palatable measure of intersection information would provide a principled way to quantify slippery concepts, such as synergy. Here, we introduce an intersection information measure based on the Gács-Körner common random variable that is the first to satisfy the coveted target monotonicity property. Our measure is imperfect, too, and we suggest directions for improvement.
Keywords: intersection information; partial information decomposition; lattice; Gács–Körner; synergy; redundant information intersection information; partial information decomposition; lattice; Gács–Körner; synergy; redundant information
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Griffith, V.; Chong, E.K.P.; James, R.G.; Ellison, C.J.; Crutchfield, J.P. Intersection Information Based on Common Randomness. Entropy 2014, 16, 1985-2000.

AMA Style

Griffith V, Chong EKP, James RG, Ellison CJ, Crutchfield JP. Intersection Information Based on Common Randomness. Entropy. 2014; 16(4):1985-2000.

Chicago/Turabian Style

Griffith, Virgil; Chong, Edwin K.P.; James, Ryan G.; Ellison, Christopher J.; Crutchfield, James P. 2014. "Intersection Information Based on Common Randomness." Entropy 16, no. 4: 1985-2000.

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