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A Fundamental Scale of Descriptions for Analyzing Information Content of Communication Systems
Article

Information Geometry on Complexity and Stochastic Interaction

by 1,2,3
1
Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, Germany
2
Faculty of Mathematics and Computer Science, University of Leipzig, PF 100920, 04009 Leipzig, Germany
3
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA 
Academic Editors: Christoph Salge, Georg Martius, Keyan Ghazi-Zahedi and Daniel Polani
Entropy 2015, 17(4), 2432-2458; https://doi.org/10.3390/e17042432
Received: 28 February 2015 / Revised: 2 April 2015 / Accepted: 8 April 2015 / Published: 21 April 2015
(This article belongs to the Special Issue Information Theoretic Incentives for Cognitive Systems)
Interdependencies of stochastically interacting units are usually quantified by the Kullback-Leibler divergence of a stationary joint probability distribution on the set of all configurations from the corresponding factorized distribution. This is a spatial approach which does not describe the intrinsically temporal aspects of interaction. In the present paper, the setting is extended to a dynamical version where temporal interdependencies are also captured by using information geometry of Markov chain manifolds. View Full-Text
Keywords: stochastic interaction; complexity; information geometry; Kullback-Leibler divergence; separability; Markov chains; random fields stochastic interaction; complexity; information geometry; Kullback-Leibler divergence; separability; Markov chains; random fields
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MDPI and ACS Style

Ay, N. Information Geometry on Complexity and Stochastic Interaction. Entropy 2015, 17, 2432-2458. https://doi.org/10.3390/e17042432

AMA Style

Ay N. Information Geometry on Complexity and Stochastic Interaction. Entropy. 2015; 17(4):2432-2458. https://doi.org/10.3390/e17042432

Chicago/Turabian Style

Ay, Nihat. 2015. "Information Geometry on Complexity and Stochastic Interaction" Entropy 17, no. 4: 2432-2458. https://doi.org/10.3390/e17042432

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