Online change point detection for weighted and directed random dot product graphs

Marenco, Bernardo - Bermolen, Paola - Fiori, Marcelo - Larroca, Federico - Mateos, Gonzalo

Resumen:

Given a sequence of random (directed and weighted) graphs, we address the problem of online monitoring and detection of changes in the underlying data distribution. Our idea is to endow sequential change-point detection (CPD) techniques with a graph representation learning substrate based on the versatile Random Dot Product Graph (RDPG) model. We consider efficient, online updates of a judicious monitoring function, which quantifies the discrepancy between the streaming graph observations and the nominal RDPG. This reference distribution is inferred via spectral embeddings of the first few graphs in the sequence. We characterize the distribution of this running statistic to select thresholds that guarantee error-rate control, and under simplifying approximations we offer insights on the algorithm’s detection resolution and delay. The end result is a lightweight online CPD algorithm, that is also explainable by virtue of the well-appreciated interpretability of RDPG embeddings. This is in stark contrast with most existing graph CPD approaches, which either rely on extensive computation, or they store and process the entire observed time series. An apparent limitation of the RDPG model is its suitability for undirected and unweighted graphs only, a gap we aim to close here to broaden the scope of the CPD framework. Unlike previous proposals, our non-parametric RDPG model for weighted graphs does not require a priori specification of the weights’ distribution to perform inference and estimation. This network modeling contribution is of independent interest beyond CPD. We offer an open-source implementation of the novel online CPD algorithm for weighted and direct graphs, whose effectiveness and efficiency are demonstrated via (reproducible) synthetic and real network data experiments


Detalles Bibliográficos
2022
Work in this paper is supported in part by ANII (grant FMV 3 2018 1 148149) and the NSF (awards CCF-1750428, CCF-1934962 and ECCS-1809356). Part of the results in this paper were submitted to the 2021 EUSIPCO and Asilomar Conferences
Data models
Monitoring
Delays
Computational modeling
Symmetric matrices
Probability
Information processing
Online change-point detection
Graph representation learning
Node embeddings
Random dot product graphs
Inglés
Universidad de la República
COLIBRI
https://ieeexplore.ieee.org/document/9706333
https://hdl.handle.net/20.500.12008/30974
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Marenco, Bernardo
author2 Bermolen, Paola
Fiori, Marcelo
Larroca, Federico
Mateos, Gonzalo
author2_role author
author
author
author
author_facet Marenco, Bernardo
Bermolen, Paola
Fiori, Marcelo
Larroca, Federico
Mateos, Gonzalo
author_role author
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dc.contributor.filiacion.none.fl_str_mv Marenco Bernardo, Universidad de la República (Uruguay). Facultad de Ingeniería.
Bermolen Paola, Universidad de la República (Uruguay). Facultad de Ingeniería.
Fiori Marcelo, Universidad de la República (Uruguay). Facultad de Ingeniería.
Larroca Federico, Universidad de la República (Uruguay). Facultad de Ingeniería.
Mateos Gonzalo, University of Rochester, Rochester, NY, USA
dc.creator.none.fl_str_mv Marenco, Bernardo
Bermolen, Paola
Fiori, Marcelo
Larroca, Federico
Mateos, Gonzalo
dc.date.accessioned.none.fl_str_mv 2022-03-04T11:31:13Z
dc.date.available.none.fl_str_mv 2022-03-04T11:31:13Z
dc.date.issued.none.fl_str_mv 2022
dc.description.abstract.none.fl_txt_mv Given a sequence of random (directed and weighted) graphs, we address the problem of online monitoring and detection of changes in the underlying data distribution. Our idea is to endow sequential change-point detection (CPD) techniques with a graph representation learning substrate based on the versatile Random Dot Product Graph (RDPG) model. We consider efficient, online updates of a judicious monitoring function, which quantifies the discrepancy between the streaming graph observations and the nominal RDPG. This reference distribution is inferred via spectral embeddings of the first few graphs in the sequence. We characterize the distribution of this running statistic to select thresholds that guarantee error-rate control, and under simplifying approximations we offer insights on the algorithm’s detection resolution and delay. The end result is a lightweight online CPD algorithm, that is also explainable by virtue of the well-appreciated interpretability of RDPG embeddings. This is in stark contrast with most existing graph CPD approaches, which either rely on extensive computation, or they store and process the entire observed time series. An apparent limitation of the RDPG model is its suitability for undirected and unweighted graphs only, a gap we aim to close here to broaden the scope of the CPD framework. Unlike previous proposals, our non-parametric RDPG model for weighted graphs does not require a priori specification of the weights’ distribution to perform inference and estimation. This network modeling contribution is of independent interest beyond CPD. We offer an open-source implementation of the novel online CPD algorithm for weighted and direct graphs, whose effectiveness and efficiency are demonstrated via (reproducible) synthetic and real network data experiments
dc.description.sponsorship.none.fl_txt_mv Work in this paper is supported in part by ANII (grant FMV 3 2018 1 148149) and the NSF (awards CCF-1750428, CCF-1934962 and ECCS-1809356). Part of the results in this paper were submitted to the 2021 EUSIPCO and Asilomar Conferences
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dc.identifier.citation.es.fl_str_mv Marenco, B., Bermolen, P., Fiori, M. y otros. "Online change point detection for weighted and directed random dot product graphs". IEEE Transactions on Signal and Information Processing over Networks. [en línea]. 2022, vol. 8, pp 144-159. DOI: 10.1109/TSIPN.2022.3149098.
dc.identifier.doi.none.fl_str_mv 10.1109/TSIPN.2022.3149098
dc.identifier.uri.none.fl_str_mv https://ieeexplore.ieee.org/document/9706333
https://hdl.handle.net/20.500.12008/30974
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv IEEE
dc.relation.ispartof.es.fl_str_mv IEEE Transactions on Signal and Information Processing over Networks, vol. 8, 2022, pp 144-159
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.en.fl_str_mv Data models
Monitoring
Delays
Computational modeling
Symmetric matrices
Probability
Information processing
Online change-point detection
Graph representation learning
Node embeddings
Random dot product graphs
dc.title.none.fl_str_mv Online change point detection for weighted and directed random dot product graphs
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description Given a sequence of random (directed and weighted) graphs, we address the problem of online monitoring and detection of changes in the underlying data distribution. Our idea is to endow sequential change-point detection (CPD) techniques with a graph representation learning substrate based on the versatile Random Dot Product Graph (RDPG) model. We consider efficient, online updates of a judicious monitoring function, which quantifies the discrepancy between the streaming graph observations and the nominal RDPG. This reference distribution is inferred via spectral embeddings of the first few graphs in the sequence. We characterize the distribution of this running statistic to select thresholds that guarantee error-rate control, and under simplifying approximations we offer insights on the algorithm’s detection resolution and delay. The end result is a lightweight online CPD algorithm, that is also explainable by virtue of the well-appreciated interpretability of RDPG embeddings. This is in stark contrast with most existing graph CPD approaches, which either rely on extensive computation, or they store and process the entire observed time series. An apparent limitation of the RDPG model is its suitability for undirected and unweighted graphs only, a gap we aim to close here to broaden the scope of the CPD framework. Unlike previous proposals, our non-parametric RDPG model for weighted graphs does not require a priori specification of the weights’ distribution to perform inference and estimation. This network modeling contribution is of independent interest beyond CPD. We offer an open-source implementation of the novel online CPD algorithm for weighted and direct graphs, whose effectiveness and efficiency are demonstrated via (reproducible) synthetic and real network data experiments
eu_rights_str_mv openAccess
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identifier_str_mv Marenco, B., Bermolen, P., Fiori, M. y otros. "Online change point detection for weighted and directed random dot product graphs". IEEE Transactions on Signal and Information Processing over Networks. [en línea]. 2022, vol. 8, pp 144-159. DOI: 10.1109/TSIPN.2022.3149098.
10.1109/TSIPN.2022.3149098
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language eng
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publishDate 2022
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Marenco Bernardo, Universidad de la República (Uruguay). Facultad de Ingeniería.Bermolen Paola, Universidad de la República (Uruguay). Facultad de Ingeniería.Fiori Marcelo, Universidad de la República (Uruguay). Facultad de Ingeniería.Larroca Federico, Universidad de la República (Uruguay). Facultad de Ingeniería.Mateos Gonzalo, University of Rochester, Rochester, NY, USA2022-03-04T11:31:13Z2022-03-04T11:31:13Z2022Marenco, B., Bermolen, P., Fiori, M. y otros. "Online change point detection for weighted and directed random dot product graphs". IEEE Transactions on Signal and Information Processing over Networks. [en línea]. 2022, vol. 8, pp 144-159. DOI: 10.1109/TSIPN.2022.3149098.https://ieeexplore.ieee.org/document/9706333https://hdl.handle.net/20.500.12008/3097410.1109/TSIPN.2022.3149098Given a sequence of random (directed and weighted) graphs, we address the problem of online monitoring and detection of changes in the underlying data distribution. Our idea is to endow sequential change-point detection (CPD) techniques with a graph representation learning substrate based on the versatile Random Dot Product Graph (RDPG) model. We consider efficient, online updates of a judicious monitoring function, which quantifies the discrepancy between the streaming graph observations and the nominal RDPG. This reference distribution is inferred via spectral embeddings of the first few graphs in the sequence. We characterize the distribution of this running statistic to select thresholds that guarantee error-rate control, and under simplifying approximations we offer insights on the algorithm’s detection resolution and delay. The end result is a lightweight online CPD algorithm, that is also explainable by virtue of the well-appreciated interpretability of RDPG embeddings. This is in stark contrast with most existing graph CPD approaches, which either rely on extensive computation, or they store and process the entire observed time series. An apparent limitation of the RDPG model is its suitability for undirected and unweighted graphs only, a gap we aim to close here to broaden the scope of the CPD framework. Unlike previous proposals, our non-parametric RDPG model for weighted graphs does not require a priori specification of the weights’ distribution to perform inference and estimation. This network modeling contribution is of independent interest beyond CPD. We offer an open-source implementation of the novel online CPD algorithm for weighted and direct graphs, whose effectiveness and efficiency are demonstrated via (reproducible) synthetic and real network data experimentsSubmitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2022-03-03T16:47:25Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) MBFLM22.pdf: 751872 bytes, checksum: 4875706f8485f3ae5ddc791db64587cb (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2022-03-03T18:52:48Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) MBFLM22.pdf: 751872 bytes, checksum: 4875706f8485f3ae5ddc791db64587cb (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-03-04T11:31:13Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) MBFLM22.pdf: 751872 bytes, checksum: 4875706f8485f3ae5ddc791db64587cb (MD5) Previous issue date: 2022Work in this paper is supported in part by ANII (grant FMV 3 2018 1 148149) and the NSF (awards CCF-1750428, CCF-1934962 and ECCS-1809356). Part of the results in this paper were submitted to the 2021 EUSIPCO and Asilomar Conferences16 p.application/pdfenengIEEEIEEE Transactions on Signal and Information Processing over Networks, vol. 8, 2022, pp 144-159Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Data modelsMonitoringDelaysComputational modelingSymmetric matricesProbabilityInformation processingOnline change-point detectionGraph representation learningNode embeddingsRandom dot product graphsOnline change point detection for weighted and directed random dot product graphsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaMarenco, BernardoBermolen, PaolaFiori, MarceloLarroca, FedericoMateos, GonzaloTelecomunicacionesAnálisis de Redes, Tráfico y Estadísticas de ServiciosLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/30974/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; 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- Universidad de la Repúblicafalse
spellingShingle Online change point detection for weighted and directed random dot product graphs
Marenco, Bernardo
Data models
Monitoring
Delays
Computational modeling
Symmetric matrices
Probability
Information processing
Online change-point detection
Graph representation learning
Node embeddings
Random dot product graphs
status_str publishedVersion
title Online change point detection for weighted and directed random dot product graphs
title_full Online change point detection for weighted and directed random dot product graphs
title_fullStr Online change point detection for weighted and directed random dot product graphs
title_full_unstemmed Online change point detection for weighted and directed random dot product graphs
title_short Online change point detection for weighted and directed random dot product graphs
title_sort Online change point detection for weighted and directed random dot product graphs
topic Data models
Monitoring
Delays
Computational modeling
Symmetric matrices
Probability
Information processing
Online change-point detection
Graph representation learning
Node embeddings
Random dot product graphs
url https://ieeexplore.ieee.org/document/9706333
https://hdl.handle.net/20.500.12008/30974