Local Graph Clustering with Network Lasso

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorJung, Alexanderen_US
dc.contributor.authorSarcheshmehpour, Yasminen_US
dc.contributor.departmentDepartment of Computer Scienceen
dc.contributor.groupauthorProfessorship Jung Alexanderen
dc.contributor.groupauthorHelsinki Institute for Information Technology (HIIT)en
dc.date.accessioned2021-08-04T06:43:54Z
dc.date.available2021-08-04T06:43:54Z
dc.date.issued2021en_US
dc.description.abstractWe study the statistical and computational properties of a network Lasso method for local graph clustering. The clusters delivered by nLasso can be characterized elegantly via network flows between cluster boundaries and seed nodes. While spectral clustering methods are guided by a minimization of the graph Laplacian quadratic form, nLasso minimizes the total variation of cluster indicator signals. As demonstrated theoretically and numerically, nLasso methods can handle very sparse clusters (chain-like) which are difficult for spectral clustering. We also verify that a primal-dual method for non-smooth optimization allows to approximate nLasso solutions with optimal worst-case convergence rate.en
dc.description.versionPeer revieweden
dc.format.extent5
dc.format.extent106-110
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationJung, A & Sarcheshmehpour, Y 2021, ' Local Graph Clustering with Network Lasso ', IEEE Signal Processing Letters, vol. 28, 9298875, pp. 106-110 . https://doi.org/10.1109/LSP.2020.3045832en
dc.identifier.doi10.1109/LSP.2020.3045832en_US
dc.identifier.issn1070-9908
dc.identifier.issn1558-2361
dc.identifier.otherPURE UUID: a15c89bc-6a9c-4d2d-818a-758cc2ae4d16en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/a15c89bc-6a9c-4d2d-818a-758cc2ae4d16en_US
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85098748083&partnerID=8YFLogxKen_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/65676585/Local_Graph_Clustering_With_Network_Lasso.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/108935
dc.identifier.urnURN:NBN:fi:aalto-202108048179
dc.language.isoenen
dc.publisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
dc.relation.ispartofseriesIEEE Signal Processing Lettersen
dc.relation.ispartofseriesVolume 28en
dc.rightsopenAccessen
dc.subject.keywordClustering methodsen_US
dc.subject.keywordConvergenceen_US
dc.subject.keywordLaplace equationsen_US
dc.subject.keywordMessage passingen_US
dc.subject.keywordMinimizationen_US
dc.subject.keywordOptimizationen_US
dc.subject.keywordTVen_US
dc.titleLocal Graph Clustering with Network Lassoen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion
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