Activity driven modeling of time varying networks

Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural patterns of the network are at the basis of the mechanisms ruling the network form...

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Main Authors: Perra, N., Gonçalves, B., Pastor-Satorras, R., Vespignani, A.
Format: Online
Language:English
Published: Nature Publishing Group 2012
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3384079/
id pubmed-3384079
recordtype oai_dc
spelling pubmed-33840792012-06-27 Activity driven modeling of time varying networks Perra, N. Gonçalves, B. Pastor-Satorras, R. Vespignani, A. Article Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural patterns of the network are at the basis of the mechanisms ruling the network formation. Connectivity driven models necessarily provide a time-aggregated representation that may fail to describe the instantaneous and fluctuating dynamics of many networks. We address this challenge by defining the activity potential, a time invariant function characterizing the agents' interactions and constructing an activity driven model capable of encoding the instantaneous time description of the network dynamics. The model provides an explanation of structural features such as the presence of hubs, which simply originate from the heterogeneous activity of agents. Within this framework, highly dynamical networks can be described analytically, allowing a quantitative discussion of the biases induced by the time-aggregated representations in the analysis of dynamical processes. Nature Publishing Group 2012-06-25 /pmc/articles/PMC3384079/ /pubmed/22741058 http://dx.doi.org/10.1038/srep00469 Text en Copyright © 2012, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-sa/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-ShareALike 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Perra, N.
Gonçalves, B.
Pastor-Satorras, R.
Vespignani, A.
spellingShingle Perra, N.
Gonçalves, B.
Pastor-Satorras, R.
Vespignani, A.
Activity driven modeling of time varying networks
author_facet Perra, N.
Gonçalves, B.
Pastor-Satorras, R.
Vespignani, A.
author_sort Perra, N.
title Activity driven modeling of time varying networks
title_short Activity driven modeling of time varying networks
title_full Activity driven modeling of time varying networks
title_fullStr Activity driven modeling of time varying networks
title_full_unstemmed Activity driven modeling of time varying networks
title_sort activity driven modeling of time varying networks
description Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural patterns of the network are at the basis of the mechanisms ruling the network formation. Connectivity driven models necessarily provide a time-aggregated representation that may fail to describe the instantaneous and fluctuating dynamics of many networks. We address this challenge by defining the activity potential, a time invariant function characterizing the agents' interactions and constructing an activity driven model capable of encoding the instantaneous time description of the network dynamics. The model provides an explanation of structural features such as the presence of hubs, which simply originate from the heterogeneous activity of agents. Within this framework, highly dynamical networks can be described analytically, allowing a quantitative discussion of the biases induced by the time-aggregated representations in the analysis of dynamical processes.
publisher Nature Publishing Group
publishDate 2012
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3384079/
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