Imperial College London
Alternate

ProfessorMauricioBarahona

Faculty of Natural Sciences, Department of Mathematics

Director of Research, Chair in Biomathematics
 
 
 
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Contact

 

m.barahona Website

 
 
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Location

 

6M31Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Yu:2020,
author = {Yu, YW and Delvenne, J-C and Yaliraki, SN and Barahona, M},
title = {Severability of mesoscale components and local time scales in dynamical  networks},
url = {http://arxiv.org/abs/2006.02972v1},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - A major goal of dynamical systems theory is the search for simplifieddescriptions of the dynamics of a large number of interacting states. Foroverwhelmingly complex dynamical systems, the derivation of a reduceddescription on the entire dynamics at once is computationally infeasible. Othercomplex systems are so expansive that despite the continual onslaught of newdata only partial information is available. To address this challenge, wedefine and optimise for a local quality function severability for measuring thedynamical coherency of a set of states over time. The theoretical underpinningsof severability lie in our local adaptation of the Simon-Ando-Fisher time-scaleseparation theorem, which formalises the intuition of local wells in the Markovlandscape of a dynamical process, or the separation between a microscopic and amacroscopic dynamics. Finally, we demonstrate the practical relevance ofseverability by applying it to examples drawn from power networks, imagesegmentation, social networks, metabolic networks, and word association.
AU  - Yu,YW
AU  - Delvenne,J-C
AU  - Yaliraki,SN
AU  - Barahona,M
PY  - 2020///
TI  - Severability of mesoscale components and local time scales in dynamical  networks
UR  - http://arxiv.org/abs/2006.02972v1
UR  - http://hdl.handle.net/10044/1/80794
ER  -
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