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In this work, we introduce a new model, the hierarchical multiplex stochastic blockmodel, which simultaneously detects communities within individual layers of a multiplex network while inferring a global node clustering across the layers. A stochastic blockmodel is assumed in each layer, with probabilities of layer-level group memberships determined by a node\u2019s global group assignment. Our model uses a Bayesian framework, employing a probit stick-breaking process to construct node-specific mixing proportions over a set of shared Griffiths\u2013Engen\u2013McCloseky distributions. These proportions determine layer-level community assignment, allowing for an unknown and varying number of groups across layers, while incorporating nodal covariate information to inform the global clustering. We propose a scalable variational inference procedure with parallelisable updates for application to large networks. Extensive simulation studies demonstrate our model\u2019s ability to accurately recover both global and layer-level clusters in complicated settings, and applications to real data showcase the model\u2019s effectiveness in uncovering interesting latent network structure.<\/jats:p>","DOI":"10.1093\/comnet\/cnaf049","type":"journal-article","created":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:28:20Z","timestamp":1761744500000},"source":"Crossref","is-referenced-by-count":0,"title":["Simultaneous global and local clustering in multiplex networks with covariate information"],"prefix":"10.1093","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-0963-0025","authenticated-orcid":false,"given":"Joshua","family":"Corneck","sequence":"first","affiliation":[{"name":"Department of Mathematics, Imperial College London , 180 Queen's Gate , London, SW7 2AZ,","place":["United Kingdom"]}]},{"given":"Edward A K","family":"Cohen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Imperial College London , 180 Queen's Gate , London, SW7 2AZ,","place":["United Kingdom"]}]},{"given":"James S","family":"Martin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Imperial College London , 180 Queen's Gate , London, SW7 2AZ,","place":["United Kingdom"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3508-0672","authenticated-orcid":false,"given":"Lekha","family":"Patel","sequence":"additional","affiliation":[{"name":"Sandia National Laboratories , Albuquerque, NM, 87185,","place":["United States"]}]},{"given":"Kurtis W","family":"Shuler","sequence":"additional","affiliation":[{"name":"Sandia National Laboratories , Albuquerque, NM, 87185,","place":["United States"]}]},{"given":"Francesco","family":"Sanna Passino","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Imperial College London , 180 Queen's Gate , London, SW7 2AZ,","place":["United Kingdom"]}]}],"member":"286","published-online":{"date-parts":[[2026,1,26]]},"reference":[{"key":"2026022011215133400_cnaf049-B1","first-page":"993","article-title":"A random effects stochastic block model for joint community detection in multiple networks with applications to neuroimaging","volume":"14","author":"Paul","journal-title":"Ann Appl Stat"},{"key":"2026022011215133400_cnaf049-B2","doi-asserted-by":"publisher","author":"Greene","DOI":"10.1145\/2464464.2464471"},{"key":"2026022011215133400_cnaf049-B3","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.jfs.2015.08.001","article-title":"The multi-layer network nature of systemic risk and its implications for the costs of financial crises","volume":"20","author":"Poledna","year":"2015","journal-title":"J Finan Stab"},{"key":"2026022011215133400_cnaf049-B4","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1093\/comnet\/cnu016","article-title":"Multilayer networks","volume":"2","author":"Kivel\u00e4","year":"2014","journal-title":"J Complex Netw"},{"key":"2026022011215133400_cnaf049-B5","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0378-8733(83)90021-7","article-title":"Stochastic blockmodels: first steps","volume":"5","author":"Holland","year":"1983","journal-title":"Social Networks"},{"key":"2026022011215133400_cnaf049-B6","first-page":"692","volume-title":"Advances in Neural Information Processing Systems","author":"Airoldi"},{"key":"2026022011215133400_cnaf049-B7","author":"Kemp","year":"2006"},{"key":"2026022011215133400_cnaf049-B8","author":"Kim","year":"2012"},{"key":"2026022011215133400_cnaf049-B9","doi-asserted-by":"publisher","DOI":"10.48550\/arXiv.1903.08829"},{"key":"2026022011215133400_cnaf049-B10","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s11222-025-10606-w","article-title":"Online Bayesian changepoint detection for network Poisson processes with community structure","volume":"35","author":"Corneck","year":"2025","journal-title":"Stat Comput"},{"key":"2026022011215133400_cnaf049-B11","first-page":"3181","article-title":"Community detection on mixture multilayer networks via regularized tensor decomposition","volume":"49","author":"Jing","year":"2021","journal-title":"The Annals of Statistics, Ann. 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