Published April 2014
| Published
Journal Article
Open
Intersection Information Based on Common Randomness
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.
Additional Information
© 2014 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/). Received: 25 October 2013; in revised form: 27 March 2014. Accepted: 28 March 2014. Published: 4 April 2014. Virgil Griffith thanks Tracey Ho, and Edwin K. P. Chong thanks Hua Li for valuable discussions. While intrepidly pulling back the veil of ignorance, Virgil Griffith was funded by a Department of Energy Computational Science Graduate Fellowship; Edwin K. P. Chong was funded by Colorado State University's Information Science & Technology Center; Ryan G. James and James P. Crutchfield were funded by Army Research Office grant W911NF-12-1-0234; Christopher J. Ellison was funded by a subaward from the Santa Fe Institute under a grant from the John Templeton Foundation.Attached Files
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Additional details
- Eprint ID
- 46066
- Resolver ID
- CaltechAUTHORS:20140604-073534623
- Department of Energy (DOE)
- Colorado State University's Information Science & Technology Center
- W911NF-12-1-0234
- Army Research Office (ARO)
- John Templeton Foundation
- Created
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2014-06-04Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field