{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T14:50:21Z","timestamp":1776783021089,"version":"3.51.2"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2012,11,1]],"date-time":"2012-11-01T00:00:00Z","timestamp":1351728000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2012,11]]},"DOI":"10.1109\/tsp.2012.2212886","type":"journal-article","created":{"date-parts":[[2012,8,10]],"date-time":"2012-08-10T18:03:18Z","timestamp":1344621798000},"page":"5820-5831","source":"Crossref","is-referenced-by-count":115,"title":["Clustering With Multi-Layer Graphs: A Spectral Perspective"],"prefix":"10.1109","volume":"60","author":[{"family":"Xiaowen Dong","sequence":"first","affiliation":[]},{"given":"Pascal","family":"Frossard","sequence":"additional","affiliation":[]},{"given":"P.","family":"Vandergheynst","sequence":"additional","affiliation":[]},{"given":"N.","family":"Nefedov","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","first-page":"67","article-title":"Combining graph Laplacians for semi-supervised learning","volume":"18","author":"argyriou","year":"2005","journal-title":"Advances in neural information processing systems"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1145\/1835804.1835877"},{"key":"ref33","first-page":"144","article-title":"Kernels and regularization on graphs","author":"smola","year":"2003","journal-title":"Proc 16th Annu Conf Computat Learn Theory"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/0470073047"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895281484"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809071"},{"key":"ref37","first-page":"421","article-title":"Constrained clustering by spectral kernel learning","author":"li","year":"2009","journal-title":"Proc 12th IEEE Int Conf Comput Vision (ICCV)"},{"key":"ref36","article-title":"Constrained clustering via spectral regularization","author":"li","year":"2009","journal-title":"Proc IEEE Conf Comput Vision Pattern Recogn"},{"key":"ref35","first-page":"1","article-title":"Constrained spectral clustering through affinity propagation","author":"lu","year":"2008","journal-title":"Proc 21st IEEE Comput Soc Conf on Vision Patt Recogn"},{"key":"ref34","article-title":"Constrained spectral clustering under a local proximity structure","author":"xu","year":"2005","journal-title":"Proc 18th Int FLAIRS Conf"},{"key":"ref10","author":"stewart","year":"1990","journal-title":"Matrix Perturbation Theory"},{"key":"ref11","author":"bhatia","year":"1996","journal-title":"Matrix Analysis"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1145\/1273496.1273642"},{"key":"ref12","author":"nocedal","year":"2006","journal-title":"Numerical Optimization"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2009.125"},{"key":"ref14","author":"chung","year":"1997","journal-title":"Spectral Graph Theory"},{"key":"ref15","author":"horaud","year":"0","journal-title":"A short tutorial on graph Laplacians Laplacian embedding and spectral clustering"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1007\/978-3-642-02124-4_15","article-title":"Inexact matching of large and sparse graphs using Laplacian eigenvectors","author":"knossow","year":"2009","journal-title":"Proc 7th Int Workshop on Graph-Based Represent Pattern Recogn"},{"key":"ref17","article-title":"Mesh segmentation using Laplacian eigenvectors and Gaussian mixtures","author":"sharma","year":"2009","journal-title":"Proc 2009 AAAI Fall Symp Manifold Learn Appl"},{"key":"ref18","first-page":"132","article-title":"A regularization framework for learning from graph data","author":"zhou","year":"2004","journal-title":"Proc ICML 2004 Workshop on Statist Relat Learn Its Connections to Other Fields"},{"key":"ref19","first-page":"321","article-title":"Learning with local and global consistency","volume":"16","author":"zhou","year":"2004","journal-title":"Advances in neural information processing systems"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/34.868688"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1145\/1988688.1988763"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00779-005-0046-3"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.066133"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0900282106"},{"key":"ref5","article-title":"Co-regularized spectral clustering with multiple kernels","author":"kumar","year":"2010","journal-title":"Proc NIPS 2010 Workshop New Directions in Multiple Kernel Learn"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2008\/10\/P10008"},{"key":"ref8","first-page":"281","article-title":"Some methods for classification and analysis of multivariate observations","volume":"1","author":"macqueen","year":"1967","journal-title":"Proc 5th Berkeley Symp Math Statist Probabil"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-007-9033-z"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0913678107"},{"key":"ref9","first-page":"353","article-title":"Random walks on graphs: A survey","volume":"2","author":"lovsz","year":"1996","journal-title":"Combinatorics Paul Erds is Eighty"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cosrev.2007.05.001"},{"key":"ref20","first-page":"912","article-title":"Semi-supervised learning using Gaussian fields and harmonic functions","author":"zhu","year":"2003","journal-title":"Proc 20th Int Conf Mach Learn (ICML)"},{"key":"ref22","first-page":"169","article-title":"Ranking on data manifolds","volume":"16","author":"zhou","year":"2004","journal-title":"Advances in neural information processing systems"},{"key":"ref21","first-page":"1221","article-title":"Measure based regularization","volume":"16","author":"bousquet","year":"2004","journal-title":"Advances in neural information processing systems"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/GRC.2009.5255152"},{"key":"ref24","article-title":"Towards rich mobile phone datasets: Lausanne data collection campaign","author":"kiukkonen","year":"2010","journal-title":"Proc ACM Int Conf Pervasive Services"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2010.156"},{"key":"ref23","first-page":"20","article-title":"Spectral Clustering with two views","author":"de sa","year":"2005","journal-title":"Proc ICML 2005 Workshop on Learn Multiple Views (ICML)"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1145\/1864708.1864731"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.026113"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2010.112"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.122653799"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/78\/6327753\/06265414.pdf?arnumber=6265414","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:51:32Z","timestamp":1633909892000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6265414\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":44,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tsp.2012.2212886","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}