{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T11:31:12Z","timestamp":1767871872137,"version":"3.49.0"},"reference-count":57,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2026,3,31]]},"DOI":"10.1137\/25m1727667","type":"journal-article","created":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T08:13:21Z","timestamp":1767860001000},"page":"236-265","source":"Crossref","is-referenced-by-count":0,"title":["Effective Solutions to Robust Orthogonal Nonnegative Matrix Factorization via Oblique Manifold Transformation"],"prefix":"10.1137","volume":"19","author":[{"given":"Fan","family":"Jia","sequence":"first","affiliation":[{"name":"Department of Mathematics, The University of Utah."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuxiang","family":"Hui","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The Chinese University of Hong Kong."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tieyong","family":"Zeng","sequence":"additional","affiliation":[{"name":"Affiliation 1: Institute for Advanced Study, Beijing Normal-Hong Kong Baptist University, Zhuhai, Guangdong, China, and Affiliation 2: School of Mathematics and Statistics, Guangzhou Nanfang College, Guangzhou, Guangdong, China."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2026,1,8]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","unstructured":"P.A. Absil and K. A. Gallivan, Joint diagonalization on the oblique manifold for independent component analysis, in 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, IEEE, 2006, 5, p. V\u2013V.","DOI":"10.1109\/ICASSP.2006.1661433"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-007-0133-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1100.0449"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/130912190"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/34.598228"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/050644641"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0701-9"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"S. Choi, Algorithms for orthogonal nonnegative matrix factorization, in 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence), IEEE, 2008, pp. 1828\u20131832.","DOI":"10.1109\/IJCNN.2008.4634046"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065707001275"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2012.2211477"},{"key":"ref12","volume-title":"On the Equivalence of Nonnegative Matrix Factorization and k-Means - Spectral Clustering","author":"Ding C.","year":"2005"},{"key":"ref13","doi-asserted-by":"crossref","unstructured":"C. Ding, T. Li, W. Peng, and H. Park, Orthogonal nonnegative matrix t-factorizations for clustering, in Proceedings of the 12th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2006.","DOI":"10.1145\/1150402.1150420"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050432"},{"key":"ref16","doi-asserted-by":"crossref","unstructured":"J. Fiscus, G. Doddington, J. Garofolo, and A. Martin, Nist\u2019s 1998 topic detection and tracking evaluation (tdt2), in Proceedings of the 1999 DARPA Broadcast News Workshop, 1999, pp. 19\u201324.","DOI":"10.21437\/Eurospeech.1999-65"},{"key":"ref17","doi-asserted-by":"crossref","unstructured":"N. Gillis, Nonnegative Matrix Factorization, SIAM. 2020.","DOI":"10.1137\/1.9781611976410"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s40305-020-00295-9"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511600753"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TGRS.2008.2002882"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-022-01794-8"},{"key":"ref22","volume-title":"Advances in Neural Information Processing Systems 13","author":"Lee D.","year":"2000"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1038\/44565"},{"key":"ref24","unstructured":"D. D. Lewis, Reuters-21578 Text Categorization Test Collection. http:\/\/www.daviddlewis.com\/resources\/testcollections\/reuters21578\/. 1997. [Online; accessed 26-September-1997]."},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2014.2371895"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2013.08.026"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2006.160"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2009.12.023"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2019.2928627"},{"key":"ref30","unstructured":"S. \u0141ojasiewicz, Une propri\u00e9t\u00e9 topologique des sous-ensembles analytiques r\u00e9els, Les \u00c9quations aux D\u00e9riv\u00e9es Partielles (1963), pp. 87\u201389."},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.05.001"},{"key":"ref32","unstructured":"J. MacQueen, Some methods for classification and analysis of multivariate observations, in Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, University of California Press, 1967, pp. 281\u2013297."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8928(76)90136-2"},{"key":"ref34","series-title":"Grundlehren der Mathematischen Wissenschaften 330","volume-title":"Variational Analysis and Generalized Differentiation","author":"Mordukhovich B.","year":"1998"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-023-02242-z"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1002\/env.3170050203"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/16M1107863"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.02.018"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2021.3088266"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2218060"},{"key":"ref42","doi-asserted-by":"crossref","unstructured":"B. Shen, B.D. Liu, Q. Wang, and R. Ji, Robust nonnegative matrix factorization via l 1 norm regularization by multiplicative updating rules, in 2014 IEEE International Conference on Image Processing (ICIP), IEEE, 2014, pp. 5282\u20135286.","DOI":"10.1109\/ICIP.2014.7026069"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/151003714"},{"key":"ref44","unstructured":"H. Steinhaus, Sur la division des corps mat\u00e9riels en parties. Bulletin de l\u2019Acad\u00e9mie Polonaise des Sciences Classe III, IV., 1956), pp. 801\u2013804."},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1214\/13-EJS815"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2018.04.029"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1137\/20M1354313"},{"key":"ref48","doi-asserted-by":"crossref","unstructured":"W. Xu, X. Liu, and Y. Gong, Document clustering based on non-negative matrix factorization, in Proceedings of the 26th Annual International ACM SIGIR Conference on Research and Development in Informaion Retrieval, 2003.","DOI":"10.1145\/860484.860485"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2021.107236"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2010.2041361"},{"key":"ref51","doi-asserted-by":"crossref","unstructured":"J. Yoo and S. Choi, Orthogonal nonnegative matrix factorization: Multiplicative updates on Stiefel manifolds, in International Conference on Intelligent Data Engineering and Automated Learning, Springer, 2008, pp. 140\u2013147.","DOI":"10.1007\/978-3-540-88906-9_18"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.5626\/JCSE.2010.4.2.097"},{"key":"ref53","doi-asserted-by":"crossref","unstructured":"Z. Yuan and E. Oja, Projective nonnegative matrix factorization for image compression and feature extraction, in Image Analysis: 14th Scandinavian Conference, SCIA 2005, Proceedings 14, Springer, Joensuu, 2005, 2005, pp. 333\u2013342.","DOI":"10.1007\/11499145_35"},{"key":"ref54","doi-asserted-by":"crossref","unstructured":"W. E. Zhang, M. Tan, Q. Z. Sheng, L. Yao, and Q. Shi, Efficient orthogonal non-negative matrix factorization over Stiefel manifold, in Proceedings of the 25th ACM International on Conference on Information and Knowledge Management, 2016, pp. 1743\u20131752.","DOI":"10.1145\/2983323.2983761"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1023\/B:MACH.0000027785.44527.d6"},{"key":"ref56","unstructured":"F. Zhu, Hyperspectral Unmixing: Ground Truth Labeling, Datasets, Benchmark Performances and Survey, preprint, arXiv:1708.05125, 2017."},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2014.2363423"}],"container-title":["SIAM Journal on Imaging Sciences"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T08:13:28Z","timestamp":1767860008000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/25M1727667"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,8]]},"references-count":57,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,3,31]]}},"alternative-id":["10.1137\/25M1727667"],"URL":"https:\/\/doi.org\/10.1137\/25m1727667","relation":{},"ISSN":["1936-4954"],"issn-type":[{"value":"1936-4954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,8]]}}}