Identifying the perceived local properties of networks reconstructed from biased random walks.

Many real-world systems give rise to a time series of symbols. The elements in a sequence can be generated by agents walking over a networked space so that whenever a node is visited the corresponding symbol is generated. In many situations the underlying network is hidden, and one aims to recover i...

Full description

Bibliographic Details
Main Authors: Lucas Guerreiro, Filipi Nascimento Silva, Diego Raphael Amancio
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2024-01-01
Series:PLoS ONE
Online Access:https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0296088&type=printable
_version_ 1827376794576093184
author Lucas Guerreiro
Filipi Nascimento Silva
Diego Raphael Amancio
author_facet Lucas Guerreiro
Filipi Nascimento Silva
Diego Raphael Amancio
author_sort Lucas Guerreiro
collection DOAJ
description Many real-world systems give rise to a time series of symbols. The elements in a sequence can be generated by agents walking over a networked space so that whenever a node is visited the corresponding symbol is generated. In many situations the underlying network is hidden, and one aims to recover its original structure and/or properties. For example, when analyzing texts, the underlying network structure generating a particular sequence of words is not available. In this paper, we analyze whether one can recover the underlying local properties of networks generating sequences of symbols for different combinations of random walks and network topologies. We found that the reconstruction performance is influenced by the bias of the agent dynamics. When the walker is biased toward high-degree neighbors, the best performance was obtained for most of the network models and properties. Surprisingly, this same effect is not observed for the clustering coefficient and eccentric, even when large sequences are considered. We also found that the true self-avoiding displayed similar performance as the one preferring highly-connected nodes, with the advantage of yielding competitive performance to recover the clustering coefficient. Our results may have implications for the construction and interpretation of networks generated from sequences.
first_indexed 2024-03-08T12:28:58Z
format Article
id doaj.art-1753182efdc54789b92c0225cc5af6cb
institution Directory Open Access Journal
issn 1932-6203
language English
last_indexed 2024-03-08T12:28:58Z
publishDate 2024-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj.art-1753182efdc54789b92c0225cc5af6cb2024-01-22T05:31:15ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-01191e029608810.1371/journal.pone.0296088Identifying the perceived local properties of networks reconstructed from biased random walks.Lucas GuerreiroFilipi Nascimento SilvaDiego Raphael AmancioMany real-world systems give rise to a time series of symbols. The elements in a sequence can be generated by agents walking over a networked space so that whenever a node is visited the corresponding symbol is generated. In many situations the underlying network is hidden, and one aims to recover its original structure and/or properties. For example, when analyzing texts, the underlying network structure generating a particular sequence of words is not available. In this paper, we analyze whether one can recover the underlying local properties of networks generating sequences of symbols for different combinations of random walks and network topologies. We found that the reconstruction performance is influenced by the bias of the agent dynamics. When the walker is biased toward high-degree neighbors, the best performance was obtained for most of the network models and properties. Surprisingly, this same effect is not observed for the clustering coefficient and eccentric, even when large sequences are considered. We also found that the true self-avoiding displayed similar performance as the one preferring highly-connected nodes, with the advantage of yielding competitive performance to recover the clustering coefficient. Our results may have implications for the construction and interpretation of networks generated from sequences.https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0296088&type=printable
spellingShingle Lucas Guerreiro
Filipi Nascimento Silva
Diego Raphael Amancio
Identifying the perceived local properties of networks reconstructed from biased random walks.
PLoS ONE
title Identifying the perceived local properties of networks reconstructed from biased random walks.
title_full Identifying the perceived local properties of networks reconstructed from biased random walks.
title_fullStr Identifying the perceived local properties of networks reconstructed from biased random walks.
title_full_unstemmed Identifying the perceived local properties of networks reconstructed from biased random walks.
title_short Identifying the perceived local properties of networks reconstructed from biased random walks.
title_sort identifying the perceived local properties of networks reconstructed from biased random walks
url https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0296088&type=printable
work_keys_str_mv AT lucasguerreiro identifyingtheperceivedlocalpropertiesofnetworksreconstructedfrombiasedrandomwalks
AT filipinascimentosilva identifyingtheperceivedlocalpropertiesofnetworksreconstructedfrombiasedrandomwalks
AT diegoraphaelamancio identifyingtheperceivedlocalpropertiesofnetworksreconstructedfrombiasedrandomwalks