Online change point detection for weighted and directed random dot product graphs
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
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 |
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Inglés | |
Universidad de la República | |
COLIBRI | |
https://ieeexplore.ieee.org/document/9706333
https://hdl.handle.net/20.500.12008/30974 |
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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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collection | COLIBRI |
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 |
dc.format.extent.es.fl_str_mv | 16 p. |
dc.format.mimetype.es.fl_str_mv | application/pdf |
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 |
format | article |
id | COLIBRI_8f149964a3fe35e83fed3c0227f8d541 |
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 |
instacron_str | Universidad de la República |
institution | Universidad de la República |
instname_str | Universidad de la República |
language | eng |
language_invalid_str_mv | en |
network_acronym_str | COLIBRI |
network_name_str | COLIBRI |
oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/30974 |
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 |