Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.

Recent years have witnessed a rapid development of network reconstruction approaches, especially for a series of methods based on compressed sensing. Although compressed-sensing based methods require much less data than conventional approaches, the compressed sensing for reconstructing heterogeneous...

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Main Authors: Long Ma, Xiao Han, Zhesi Shen, Wen-Xu Wang, Zengru Di
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4654473?pdf=render
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author Long Ma
Xiao Han
Zhesi Shen
Wen-Xu Wang
Zengru Di
author_facet Long Ma
Xiao Han
Zhesi Shen
Wen-Xu Wang
Zengru Di
author_sort Long Ma
collection DOAJ
description Recent years have witnessed a rapid development of network reconstruction approaches, especially for a series of methods based on compressed sensing. Although compressed-sensing based methods require much less data than conventional approaches, the compressed sensing for reconstructing heterogeneous networks has not been fully exploited because of hubs. Hub neighbors require much more data to be inferred than small-degree nodes, inducing a cask effect for the reconstruction of heterogeneous networks. Here, a conflict-based method is proposed to overcome the cast effect to considerably reduce data amounts for achieving accurate reconstruction. Moreover, an element elimination method is presented to use the partially available structural information to reduce data requirements. The integration of both methods can further improve the reconstruction performance than separately using each technique. These methods are validated by exploring two evolutionary games taking place in scale-free networks, where individual information is accessible and an attempt to decode the network structure from measurable data is made. The results demonstrate that for all of the cases, much data are saved compared to that in the absence of these two methods. Due to the prevalence of heterogeneous networks in nature and society and the high cost of data acquisition in large-scale networks, these approaches have wide applications in many fields and are valuable for understanding and controlling the collective dynamics of a variety of heterogeneous networked systems.
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spelling doaj.art-7b9441b4df8e4cb69af89dd6b49921f72022-12-22T01:14:18ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-011011e014283710.1371/journal.pone.0142837Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.Long MaXiao HanZhesi ShenWen-Xu WangZengru DiRecent years have witnessed a rapid development of network reconstruction approaches, especially for a series of methods based on compressed sensing. Although compressed-sensing based methods require much less data than conventional approaches, the compressed sensing for reconstructing heterogeneous networks has not been fully exploited because of hubs. Hub neighbors require much more data to be inferred than small-degree nodes, inducing a cask effect for the reconstruction of heterogeneous networks. Here, a conflict-based method is proposed to overcome the cast effect to considerably reduce data amounts for achieving accurate reconstruction. Moreover, an element elimination method is presented to use the partially available structural information to reduce data requirements. The integration of both methods can further improve the reconstruction performance than separately using each technique. These methods are validated by exploring two evolutionary games taking place in scale-free networks, where individual information is accessible and an attempt to decode the network structure from measurable data is made. The results demonstrate that for all of the cases, much data are saved compared to that in the absence of these two methods. Due to the prevalence of heterogeneous networks in nature and society and the high cost of data acquisition in large-scale networks, these approaches have wide applications in many fields and are valuable for understanding and controlling the collective dynamics of a variety of heterogeneous networked systems.http://europepmc.org/articles/PMC4654473?pdf=render
spellingShingle Long Ma
Xiao Han
Zhesi Shen
Wen-Xu Wang
Zengru Di
Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
PLoS ONE
title Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
title_full Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
title_fullStr Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
title_full_unstemmed Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
title_short Efficient Reconstruction of Heterogeneous Networks from Time Series via Compressed Sensing.
title_sort efficient reconstruction of heterogeneous networks from time series via compressed sensing
url http://europepmc.org/articles/PMC4654473?pdf=render
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AT xiaohan efficientreconstructionofheterogeneousnetworksfromtimeseriesviacompressedsensing
AT zhesishen efficientreconstructionofheterogeneousnetworksfromtimeseriesviacompressedsensing
AT wenxuwang efficientreconstructionofheterogeneousnetworksfromtimeseriesviacompressedsensing
AT zengrudi efficientreconstructionofheterogeneousnetworksfromtimeseriesviacompressedsensing