{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T12:44:41Z","timestamp":1778071481079,"version":"3.51.4"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2016,11,1]],"date-time":"2016-11-01T00:00:00Z","timestamp":1477958400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"}],"funder":[{"DOI":"10.13039\/501100004836","name":"Villum Foundation and the Danish Council for Independent Research (DFF)","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004836","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Sciences"},{"DOI":"10.13039\/501100004836","name":"DFF","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004836","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Technology and Production Sciences"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Pattern Anal. Mach. Intell."],"published-print":{"date-parts":[[2016,11,1]]},"DOI":"10.1109\/tpami.2015.2511743","type":"journal-article","created":{"date-parts":[[2015,12,23]],"date-time":"2015-12-23T19:06:32Z","timestamp":1450897592000},"page":"2298-2311","source":"Crossref","is-referenced-by-count":21,"title":["Scalable Robust Principal Component Analysis Using Grassmann Averages"],"prefix":"10.1109","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7223-877X","authenticated-orcid":false,"given":"Sren","family":"Hauberg","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aasa","family":"Feragen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Raffi","family":"Enficiaud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael J.","family":"Black","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","author":"cormen","year":"2009","journal-title":"Introduction to Algorithms"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aos\/1046294456","article-title":"Large sample theory of intrinsic and extrinsic sample means on manifolds","volume":"31","author":"bhattacharya","year":"2003","journal-title":"Annal Statist"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349519"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316979"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12494-9"},{"key":"ref30","author":"lee","year":"2002","journal-title":"Introduction to Smooth Manifolds"},{"key":"ref37","author":"embleton","year":"1993","journal-title":"Statistical Analysis of Spherical Data"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1961.10489974"},{"key":"ref35","author":"bishop","year":"2006","journal-title":"Pattern Recognition and Machine Learning"},{"key":"ref34","article-title":"Space and space-time modeling of directional data","author":"wang","year":"2013"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1033213"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007939232436"},{"key":"ref11","first-page":"281","article-title":"$R_1$ -PCA: Rotational invariant l1-norm principal component analysis for robust subspace factorization","author":"ding","year":"0","journal-title":"Proc Int Conf Mach Learn"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2008.114"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/11-EJS636"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1145\/2488608.2488618"},{"key":"ref15","first-page":"5","article-title":"Statistical methods for tomographic image reconstruction","volume":"52","author":"geman","year":"1987","journal-title":"Bull Int l Statistical Institute"},{"key":"ref16","author":"golub","year":"1996","journal-title":"Matrix Computations"},{"key":"ref17","article-title":"The augmented Lagrange multiplier method for exact recovery of corrupted low-rank matrices","author":"lin","year":"2009"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2011.5995654"},{"key":"ref19","first-page":"1107","article-title":"Non-convex robust PCA","author":"netrapalli","year":"0","journal-title":"Proc Adv Neur Inf Process Syst"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2013.57"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/72.363442"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2011.5995365"},{"key":"ref3","article-title":"Robust PCA in high-dimension: A deterministic approach","author":"feng","year":"0","journal-title":"Proc Int Conf Mach Learn"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023709501986"},{"key":"ref29","first-page":"663","article-title":"Robust subspace segmentation by low-rank representation","author":"liu","year":"0","journal-title":"Proc 27th Int Conf Mach Learn"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1145\/1970392.1970395"},{"key":"ref8","author":"jolliffe","year":"2002","journal-title":"Principal Component Analysis"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2014.481"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1002\/0471725250"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(81)90091-9"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.2307\/2346896"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2015.7298607"},{"key":"ref20","first-page":"1134","article-title":"Divide-and-conquer matrix factorization","author":"mackey","year":"0","journal-title":"Proc Adv Neural Inf Process Syst 24"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1088\/0954-898X_3_1_008"},{"key":"ref48","first-page":"1896","article-title":"Intrinsic mean shift for clustering on Stiefel and Grassmann manifolds","author":"\u00e7etingul","year":"0","journal-title":"Proc IEEE Conf Comput Vis Pattern Recog"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2011.5995369"},{"key":"ref47","first-page":"194","article-title":"Probabilities and statistics on Riemannian manifolds: Basic tools for geometric measurements","author":"pennec","year":"0","journal-title":"Proc Nonlinear Signal Image Process"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.03.046"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2004.836169"},{"key":"ref24","first-page":"626","article-title":"EM algorithms for PCA and SPCA","author":"roweis","year":"0","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/100817206"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2012.6483308"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2003.1177153"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2005.244"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/34.927464"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.imavis.2011.08.002"}],"container-title":["IEEE Transactions on Pattern Analysis and Machine Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/34\/7580591\/07364267.pdf?arnumber=7364267","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T02:36:01Z","timestamp":1633919761000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7364267\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,1]]},"references-count":48,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tpami.2015.2511743","relation":{},"ISSN":["0162-8828","2160-9292"],"issn-type":[{"value":"0162-8828","type":"print"},{"value":"2160-9292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,1]]}}}