Residual predictive information flow in the tight coupling limit: Analytic insights from a minimalistic model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F19%3A00511378" target="_blank" >RIV/67985807:_____/19:00511378 - isvavai.cz</a>

Alternative codes found

RIV/00023752:_____/19:43920211

Result on the web

<a href="http://hdl.handle.net/11104/0301657" target="_blank" >http://hdl.handle.net/11104/0301657</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e21101010" target="_blank" >10.3390/e21101010</a>

Result language

angličtina

Original language name

Residual predictive information flow in the tight coupling limit: Analytic insights from a minimalistic model

Original language description

In a coupled system, predictive information flows from the causing to the caused variable. The amount of transferred predictive information can be quantified through the use of transfer entropy or, for Gaussian variables, equivalently via Granger causality. It is natural to expect and has been repeatedly observed that a tight coupling does not permit to reconstruct a causal connection between causing and caused variables. Here, we show that for a model of interacting social groups, carried from the master equation to the Fokker–Planck level, a residual predictive information flow can remain for a pair of uni-directionally coupled variables even in the limit of infinite coupling strength. We trace this phenomenon back to the question of how the synchronizing force and the noise strength scale with the coupling strength. A simplified model description allows us to derive analytic expressions that fully elucidate the interplay between deterministic and stochastic model parts.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Entropy

ISSN

1099-4300

e-ISSN

—

Volume of the periodical

21

Issue of the periodical within the volume

10

Country of publishing house

CH - SWITZERLAND

Number of pages

10

Pages from-to

1010

UT code for WoS article

000495094000092

EID of the result in the Scopus database

2-s2.0-85074025349