Small-world bias of correlation networks: from brain to climate

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00023752%3A_____%2F17%3A43915451" target="_blank" >RIV/00023752:_____/17:43915451 - isvavai.cz</a>

Alternative codes found

RIV/67985807:_____/17:00473721 RIV/00023001:_____/17:00075930 RIV/00216208:11320/17:10361960

Result on the web

<a href="http://aip.scitation.org/doi/10.1063/1.4977951" target="_blank" >http://aip.scitation.org/doi/10.1063/1.4977951</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4977951" target="_blank" >10.1063/1.4977951</a>

Result language

angličtina

Original language name

Small-world bias of correlation networks: from brain to climate

Original language description

Complex systems are commonly characterized by the properties of their graph representation. Dynamical complex systems are then typically represented by a graph of temporal dependencies between time series of state variables of their subunits. It has been shown recently that graphs constructed in this way tend to have relatively clustered structure, potentially leading to spurious detection of small-world properties even in the case of systems with no or randomly distributed true interactions. However, the strength of this bias depends heavily on a range of parameters and its relevance for real-world data has not yet been established. In this work, we assess the relevance of the bias using two examples of multivariate time series recorded in natural complex systems. The first is the time series of local brain activity as measured by functional magnetic resonance imaging in resting healthy human subjects, the second is the time series of average monthly surface air temperature coming from a large reanalysis of climatological data over the period 1948 – 2012. In both cases, the clustering in the thresholded correlation graph is substantially higher compared to a realization of a density-matched random graph, while the shortest paths are relatively short, showing thus distinguishing features of small-world structure. However, a comparable or even stronger small-world properties were reproduced in correlation graphs of model processes with randomly scrambled interconnections. This suggests that the small-world properties of the correlation matrices of these real-world systems indeed do not reflect genuinely the properties of the underlying interaction structure, but rather result from the inherent properties of correlation matrix.

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

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

Name of the periodical

Chaos

ISSN

1054-1500

e-ISSN

—

Volume of the periodical

27

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

31

Pages from-to

"Article Number: 035812"

UT code for WoS article

000400899300006

EID of the result in the Scopus database

2-s2.0-85015619793