{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T17:16:48Z","timestamp":1791911808121,"version":"4.3.4"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2011,8,1]],"date-time":"2011-08-01T00:00:00Z","timestamp":1312156800000},"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. Pattern Anal. Mach. Intell."],"published-print":{"date-parts":[[2011,8]]},"DOI":"10.1109\/tpami.2010.231","type":"journal-article","created":{"date-parts":[[2010,12,23]],"date-time":"2010-12-23T15:10:05Z","timestamp":1293117005000},"page":"1548-1560","source":"Crossref","is-referenced-by-count":1861,"title":["Graph Regularized Nonnegative Matrix Factorization for Data Representation"],"prefix":"10.1109","volume":"33","author":[{"family":"Deng Cai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Xiaofei He","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Jiawei Han","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"T S","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1120.003.0080"},{"key":"ref2","first-page":"2399","article-title":"Manifold Regularization: A Geometric Framework for Learning from Examples","volume":"7","author":"Belkin","year":"2006","journal-title":"J. Machine Learning Research"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0308531101"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2005.198"},{"key":"ref5","article-title":"Locality Preserving Nonnegative Matrix Factorization","volume-title":"Proc. Int\u2019l Joint Conf. Artificial Intelligence","author":"Cai"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2008.57"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1145\/1553374.1553388"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2003.11.024"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1090\/cbms\/092"},{"key":"ref10","volume-title":"Introduction to Algorithms","author":"Cormen","year":"2001"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-4571(199009)41:6<391::AID-ASI1>3.0.CO;2-9"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/2984875"},{"key":"ref13","article-title":"Nonnegative Matrix Factorization and Probabilistic Latent Semantic Indexing: Equivalence, Chi-Square Statistic, and a Hybrid Method","volume-title":"Proc. Nat\u2019l Conf. American Association for Artificial Intelligence","author":"Ding"},{"key":"ref14","article-title":"When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts?","volume-title":"Advances in Neural Information Processing Systems 16","author":"Donoho","year":"2003"},{"key":"ref15","volume-title":"Pattern Classification","author":"Duda","year":"2000"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2005.11.012"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1145\/1076034.1076148"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2006.100"},{"key":"ref19","article-title":"Locality Preserving Projections","volume-title":"Advances in Neural Information Processing Systems 16","author":"He","year":"2003"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.6028\/jres.049.044"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007617005950"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/NNSP.2002.1030067"},{"key":"ref23","first-page":"1457","article-title":"Non-Negative Matrix Factorization with Sparseness Constraints","volume":"5","author":"Hoyer","year":"2004","journal-title":"J. Machine Learning Research"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/springerreference_205537"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1145\/225058.225121"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1038\/44565"},{"key":"ref27","article-title":"Algorithms for Non-Negative Matrix Factorization","volume-title":"Advances in Neural Information Processing Systems 13","author":"Lee","year":"2001"},{"key":"ref28","volume-title":"Introduction to Smooth Manifolds","author":"Lee","year":"2002"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2001.990477"},{"issue":"6","key":"ref30","doi-asserted-by":"crossref","first-page":"1589","DOI":"10.1109\/TNN.2007.895831","article-title":"On the Convergence of Multiplicative Update Algorithms for Non-Negative Matrix Factorization","volume":"18","author":"Lin","year":"2007","journal-title":"IEEE Trans. Neural Networks"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.ne.19.030196.003045"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.5555\/2980539.2980649"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/env.3170050203"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0010-0285(77)90016-0"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1126\/science.290.5500.2323"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1126\/science.290.5500.2268"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipm.2004.11.005"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/34.868688"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1126\/science.290.5500.2319"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1162\/jocn.1991.3.1.71"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1093\/cercor\/4.5.509"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1145\/860435.860485"},{"key":"ref43","first-page":"1601","article-title":"Self-Tuning Spectral Clustering","volume-title":"Advances in Neural Information Processing Systems 17","author":"Zelnik-Manor","year":"2004"},{"key":"ref44","first-page":"1057","article-title":"Spectral Relaxation for k-Means Clustering","volume-title":"Advances in Neural Information Processing Systems 14","author":"Zha","year":"2001"},{"key":"ref45","article-title":"Learning with Local and Global Consistency","volume-title":"Advances in Neural Information Processing Systems 16","author":"Zhou","year":"2003"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1145\/1102351.1102484"}],"container-title":["IEEE Transactions on Pattern Analysis and Machine Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/34\/5898466\/05674058.pdf?arnumber=5674058","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,18]],"date-time":"2025-03-18T00:45:06Z","timestamp":1742258706000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5674058\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8]]},"references-count":46,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tpami.2010.231","relation":{},"ISSN":["0162-8828"],"issn-type":[{"value":"0162-8828","type":"print"}],"subject":[],"published":{"date-parts":[[2011,8]]}}}