Temporal network compression via network hashing

Abstract Pairwise temporal interactions between entities can be represented as temporal networks, which code the propagation of processes such as epidemic spreading or information cascades, evolving on top of them. The largest outcome of these processes is directly linked to the structure of the und...

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Main Authors: Rémi Vaudaine, Pierre Borgnat, Paulo Gonçalves, Rémi Gribonval, Márton Karsai
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Applied Network Science
Subjects:
Online Access:https://doi.org/10.1007/s41109-023-00609-9
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author Rémi Vaudaine
Pierre Borgnat
Paulo Gonçalves
Rémi Gribonval
Márton Karsai
author_facet Rémi Vaudaine
Pierre Borgnat
Paulo Gonçalves
Rémi Gribonval
Márton Karsai
author_sort Rémi Vaudaine
collection DOAJ
description Abstract Pairwise temporal interactions between entities can be represented as temporal networks, which code the propagation of processes such as epidemic spreading or information cascades, evolving on top of them. The largest outcome of these processes is directly linked to the structure of the underlying network. Indeed, a node of a network at a given time cannot affect more nodes in the future than it can reach via time-respecting paths. This set of nodes reachable from a source defines an out-component, which identification is costly. In this paper, we propose an efficient matrix algorithm to tackle this issue and show that it outperforms other state-of-the-art methods. Secondly, we propose a hashing framework to coarsen large temporal networks into smaller proxies on which out-components are more easily estimated, and then recombined to obtain the initial components. Our graph hashing solution has implications in privacy respecting representation of temporal networks.
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spelling doaj.art-1748671e14d2483bb36305150c37a9662024-01-21T12:13:54ZengSpringerOpenApplied Network Science2364-82282024-01-019111910.1007/s41109-023-00609-9Temporal network compression via network hashingRémi Vaudaine0Pierre Borgnat1Paulo Gonçalves2Rémi Gribonval3Márton Karsai4Univ Lyon, EnsL, UCBL, CNRS, Inria, LIPCNRS, Univ de Lyon, ENS de Lyon, Laboratoire de PhysiqueUniv Lyon, EnsL, UCBL, CNRS, Inria, LIPUniv Lyon, EnsL, UCBL, CNRS, Inria, LIPDepartment of Network and Data Science, Central European UniversityAbstract Pairwise temporal interactions between entities can be represented as temporal networks, which code the propagation of processes such as epidemic spreading or information cascades, evolving on top of them. The largest outcome of these processes is directly linked to the structure of the underlying network. Indeed, a node of a network at a given time cannot affect more nodes in the future than it can reach via time-respecting paths. This set of nodes reachable from a source defines an out-component, which identification is costly. In this paper, we propose an efficient matrix algorithm to tackle this issue and show that it outperforms other state-of-the-art methods. Secondly, we propose a hashing framework to coarsen large temporal networks into smaller proxies on which out-components are more easily estimated, and then recombined to obtain the initial components. Our graph hashing solution has implications in privacy respecting representation of temporal networks.https://doi.org/10.1007/s41109-023-00609-9Temporal networksOut-component calculationStreaming matrix algorithmsGraph hashing
spellingShingle Rémi Vaudaine
Pierre Borgnat
Paulo Gonçalves
Rémi Gribonval
Márton Karsai
Temporal network compression via network hashing
Applied Network Science
Temporal networks
Out-component calculation
Streaming matrix algorithms
Graph hashing
title Temporal network compression via network hashing
title_full Temporal network compression via network hashing
title_fullStr Temporal network compression via network hashing
title_full_unstemmed Temporal network compression via network hashing
title_short Temporal network compression via network hashing
title_sort temporal network compression via network hashing
topic Temporal networks
Out-component calculation
Streaming matrix algorithms
Graph hashing
url https://doi.org/10.1007/s41109-023-00609-9
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