{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T08:13:22Z","timestamp":1775031202207,"version":"3.50.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T00:00:00Z","timestamp":1675123200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T00:00:00Z","timestamp":1675123200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["Grant No.62020106012, U1836218"],"award-info":[{"award-number":["Grant No.62020106012, U1836218"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"the National Key Research and Development Program of China","award":["Grant 2017YFC1601800"],"award-info":[{"award-number":["Grant 2017YFC1601800"]}]},{"name":"the 111 Project of Ministry of Education of China","award":["Grant No.B12018"],"award-info":[{"award-number":["Grant No.B12018"]}]},{"name":"the UK EPSRC","award":["GRANT EP\/N007743\/1, MURI\/EPSRC\/DSTL, EP\/R018456\/1"],"award-info":[{"award-number":["GRANT EP\/N007743\/1, MURI\/EPSRC\/DSTL, EP\/R018456\/1"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"published-print":{"date-parts":[[2023,8]]},"DOI":"10.1007\/s11063-022-11059-2","type":"journal-article","created":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T19:24:48Z","timestamp":1675193088000},"page":"4679-4696","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Scalable Affine Multi-view Subspace Clustering"],"prefix":"10.1007","volume":"55","author":[{"given":"Wanrong","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0310-5778","authenticated-orcid":false,"given":"Xiao-Jun","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianyang","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ziheng","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josef","family":"Kittler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,1,31]]},"reference":[{"key":"11059_CR1","unstructured":"Amini MR, Usunier N, Goutte C (2009) Learning from multiple partially observed views-an application to multilingual text categorization. In: Advances in neural information processing systems, pp 28\u201336"},{"key":"11059_CR2","unstructured":"Bako L, Vidal R (2008) Algebraic identification of mimo sarx models. In: Proceedings of the 11th international workshop on hybrid systems: computation and control"},{"key":"11059_CR3","doi-asserted-by":"crossref","unstructured":"Bickel S, Scheffer T (2004) Multi-view clustering. In: ICDM vol. 4, pp 19\u201326","DOI":"10.1109\/ICDM.2004.10095"},{"key":"11059_CR4","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.patcog.2017.08.024","volume":"73","author":"Maria Brbic","year":"2018","unstructured":"Brbic Maria, Kopriva I (2018) Multi-view low-rank sparse subspace clustering. Pattern Recogn J Pattern Recogn Soc 73:247\u2013258","journal-title":"Pattern Recogn J Pattern Recogn Soc"},{"issue":"2","key":"11059_CR5","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1109\/TIT.2005.862083","volume":"52","author":"EJ Candes","year":"2006","unstructured":"Candes EJ, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inf Theory 52(2):489\u2013509","journal-title":"IEEE Trans Inf Theory"},{"key":"11059_CR6","doi-asserted-by":"crossref","unstructured":"Cao X, Zhang C, Fu H, Liu S, Zhang H (2015) Diversity-induced multi-view subspace clustering. In: Proceedings of the IEEE conference on computer vision and pattern recognition pp 586\u2013594","DOI":"10.1109\/CVPR.2015.7298657"},{"issue":"3","key":"11059_CR7","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/s11263-008-0178-9","volume":"81","author":"G Chen","year":"2009","unstructured":"Chen G, Lerman G (2009) Spectral curvature clustering (scc). Int J Comput. Vis 81(3):317\u2013330","journal-title":"Int J Comput. Vis"},{"key":"11059_CR8","unstructured":"Cho K, Oh E (2021) Linear-time approximation scheme for k-means clustering of axis-parallel affine subspaces. In: 32nd international symposium on algorithms and computation (ISAAC 2021). Schloss Dagstuhl-Leibniz-Zentrum f\u00fcr Informatik"},{"key":"11059_CR9","doi-asserted-by":"crossref","unstructured":"You C, Li CG, Robinson DP, Vidal, R (2016) Oracle based active set algorithm for scalable elastic net subspace clustering. In: Proceedings of the IEEE conference on computer vision and pattern recognition pp 3928\u20133937","DOI":"10.1109\/CVPR.2016.426"},{"issue":"3","key":"11059_CR10","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1023\/A:1008000628999","volume":"29","author":"JP Costeira","year":"1998","unstructured":"Costeira JP, Kanade T (1998) A multibody factorization method for independently moving objects. Int J Comput. Vis. 29(3):159\u2013179","journal-title":"Int J Comput. Vis."},{"key":"11059_CR11","unstructured":"Demirel M.F, Au-Yeung E (2022) Analysis of sparse subspace clustering: Experiments and random projection. arXiv preprint arXiv:2204.00723"},{"issue":"1","key":"11059_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10044-018-00774-z","volume":"22","author":"W Dong","year":"2019","unstructured":"Dong W, Wu XJ, Kittler J, Yin HF (2019) Sparse subspace clustering via nonconvex approximation. Pattern Anal Appl 22(1):1\u201312","journal-title":"Pattern Anal Appl"},{"issue":"11","key":"11059_CR13","doi-asserted-by":"publisher","first-page":"2765","DOI":"10.1109\/TPAMI.2013.57","volume":"35","author":"E Elhamifar","year":"2012","unstructured":"Elhamifar E, Vidal R (2012) Sparse subspace clustering: Algorithm, theory, and applications. IEEE Trans Pattern Anal Mach Intell 35(11):2765\u20132781","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"11059_CR14","unstructured":"Eriksson B, Balzano L, Nowak R (2011) High-rank matrix completion and subspace clustering with missing data. arXiv preprint arXiv:1112.5629"},{"key":"11059_CR15","first-page":"1801","volume":"2011","author":"P Favaro","year":"2011","unstructured":"Favaro P, Vidal R, Ravichandran A (2011) A closed form solution to robust subspace estimation and clustering. Comput Vis Pattern Recogn 2011:1801\u20131807","journal-title":"Comput Vis Pattern Recogn"},{"key":"11059_CR16","doi-asserted-by":"crossref","unstructured":"Feng J, Lin Z, Xu H, Yan S (2014) Robust subspace segmentation with block-diagonal prior. In: IEEE conference on computer vision and pattern recognition","DOI":"10.1109\/CVPR.2014.482"},{"key":"11059_CR17","doi-asserted-by":"crossref","unstructured":"Hu H, Lin Z, Feng J, Zhou J (2014) Smooth representation clustering. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3834\u20133841","DOI":"10.1109\/CVPR.2014.484"},{"key":"11059_CR18","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1007\/s11063-020-10274-z","volume":"52","author":"WB Hu","year":"2020","unstructured":"Hu WB, Wu XJ (2020) Multi-geometric sparse subspace clustering. Neural Process Lett 52:849\u2013867","journal-title":"Neural Process Lett"},{"key":"11059_CR19","doi-asserted-by":"crossref","unstructured":"Ji P, Salzmann M, Li H (2016) Shape interaction matrix revisited and robustified: efficient subspace clustering with corrupted and incomplete data. In: ICCV 2015","DOI":"10.1109\/ICCV.2015.532"},{"key":"11059_CR20","first-page":"24","volume":"30","author":"P Ji","year":"2017","unstructured":"Ji P, Zhang T, Li H, Salzmann M, Reid I (2017) Deep subspace clustering networks. Adv Neural Inf Process Syst 30:24\u201333","journal-title":"Adv Neural Inf Process Syst"},{"issue":"3","key":"11059_CR21","doi-asserted-by":"publisher","first-page":"1401","DOI":"10.3906\/elk-2005-59","volume":"29","author":"EO Kiyak","year":"2021","unstructured":"Kiyak EO, Birant D, Birant KU (2021) An improved version of multi-view k-nearest neighbors (MVKNN) for multipleview learning. Turkish J Elect Eng Comput Sci 29(3):1401\u20131428","journal-title":"Turkish J Elect Eng Comput Sci"},{"key":"11059_CR22","doi-asserted-by":"crossref","unstructured":"Li B, Zhang Y, Lin Z, Lu H (2015) Subspace clustering by mixture of gaussian regression. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 2094\u20132102","DOI":"10.1109\/CVPR.2015.7298821"},{"key":"11059_CR23","doi-asserted-by":"crossref","unstructured":"Li R, Zhang C, Hu Q, Zhu P, Wang Z (2019) Flexible multi-view representation learning for subspace clustering. In: Twenty-eighth international joint conference on artificial intelligence IJCAI-19","DOI":"10.24963\/ijcai.2019\/404"},{"key":"11059_CR24","unstructured":"Liu G, Lin Z, Yong Y (2010) Robust subspace segmentation by low-rank representation. In: International conference on machine learning"},{"key":"11059_CR25","doi-asserted-by":"crossref","unstructured":"Lu C.Y, Min H, Zhao Z.Q, Zhu L, Huang D.S, Yan S (2012) Robust and efficient subspace segmentation via least squares regression. In: European conference on computer vision, pp 347\u2013360","DOI":"10.1007\/978-3-642-33786-4_26"},{"issue":"3","key":"11059_CR26","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1007\/s10618-013-0317-y","volume":"28","author":"B Mcwilliams","year":"2014","unstructured":"Mcwilliams B, Montana G (2014) Subspace clustering of high-dimensional data: a predictive approach. Data Mining Knowl Discov 28(3):736\u2013772","journal-title":"Data Mining Knowl Discov"},{"issue":"2","key":"11059_CR27","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1109\/TPAMI.2017.2679100","volume":"40","author":"C Otto","year":"2018","unstructured":"Otto C, Wang D, Jain A (2018) Clustering millions of faces by identity. IEEE Trans Pattern Anal Mach Intell 40(2):289\u2013303","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"10","key":"11059_CR28","doi-asserted-by":"publisher","first-page":"1832","DOI":"10.1109\/TPAMI.2009.191","volume":"32","author":"S Rao","year":"2010","unstructured":"Rao S, Tron R, Vidal R, Ma Y (2010) Motion segmentation in the presence of outlying, incomplete, or corrupted trajectories. IEEE Trans Pattern Anal Mach Intell 32(10):1832\u20131845","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"11059_CR29","doi-asserted-by":"crossref","unstructured":"Rao SR, Tron R, Vidal R, Yi M (2008) Motion segmentation via robust subspace separation in the presence of outlying, incomplete, or corrupted trajectories. In: Computer vision and pattern recognition, 2008. CVPR 2008. IEEE conference on computer vision and pattern recognition, pp 1\u20138","DOI":"10.1109\/CVPR.2008.4587437"},{"issue":"8","key":"11059_CR30","doi-asserted-by":"publisher","first-page":"888","DOI":"10.1109\/34.868688","volume":"22","author":"J Shi","year":"2000","unstructured":"Shi J, Malik JM (2000) Normalized cuts and image segmentation. IEEE Trans Pattern Anal Mach Intell 22(8):888\u2013905","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"7","key":"11059_CR31","doi-asserted-by":"publisher","first-page":"1626","DOI":"10.1109\/TIFS.2018.2796999","volume":"13","author":"Y Shi","year":"2018","unstructured":"Shi Y, Otto C, Jain AK (2018) Face clustering: Representation and pairwise constraints. IEEE Trans Inf Foren Security 13(7):1626\u20131640","journal-title":"IEEE Trans Inf Foren Security"},{"key":"11059_CR32","doi-asserted-by":"crossref","unstructured":"Tierney S, Gao J, Guo Y (2014) Subspace clustering for sequential data. In: 2014 IEEE conference on computer vision and pattern recognition","DOI":"10.1109\/CVPR.2014.134"},{"issue":"2","key":"11059_CR33","doi-asserted-by":"publisher","first-page":"482","DOI":"10.1109\/TPAMI.2017.2678477","volume":"40","author":"M Tsakiris","year":"2017","unstructured":"Tsakiris M, Vidal R (2017) Algebraic clustering of affine subspaces. IEEE Trans Pattern Anal Mach Intell 40(2):482\u2013489","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"11059_CR34","doi-asserted-by":"crossref","unstructured":"Vedaldi A, Gulshan V, Varma M, Zisserman A (2009) Multiple kernels for object detection. In: 2009 IEEE 12th international conference on computer vision, pp 606\u2013613. IEEE","DOI":"10.1109\/ICCV.2009.5459183"},{"issue":"2","key":"11059_CR35","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1109\/MSP.2010.939739","volume":"28","author":"R Vidal","year":"2011","unstructured":"Vidal R (2011) Subspace clustering. Signal Process Magaz IEEE 28(2):52\u201368","journal-title":"Signal Process Magaz IEEE"},{"issue":"15","key":"11059_CR36","doi-asserted-by":"publisher","first-page":"4010","DOI":"10.1109\/TSP.2015.2425803","volume":"63","author":"Y Wang","year":"2015","unstructured":"Wang Y, Tang YY, Li L (2015) Minimum error entropy based sparse representation for robust subspace clustering. IEEE Trans Signal Process 63(15):4010\u20134021","journal-title":"IEEE Trans Signal Process"},{"issue":"2","key":"11059_CR37","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/TPAMI.2008.79","volume":"31","author":"J Wright","year":"2008","unstructured":"Wright J, Yang AY, Ganesh A, Sastry SS, Ma Y (2008) Robust face recognition via sparse representation. IEEE Trans Pattern Anal Mach Intell 31(2):210\u2013227","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"11059_CR38","unstructured":"Xu C, Tao D, Xu C (2013) A survey on multi-view learning. Computer ence"},{"key":"11059_CR39","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/j.cviu.2015.04.003","volume":"138","author":"J Xu","year":"2015","unstructured":"Xu J, Xu K, Chen K, Ruan J (2015) Reweighted sparse subspace clustering. Comput Vis Image Understand 138:25\u201337","journal-title":"Comput Vis Image Understand"},{"issue":"3","key":"11059_CR40","doi-asserted-by":"publisher","first-page":"1493","DOI":"10.1109\/TCYB.2019.2943691","volume":"51","author":"J Xu","year":"2019","unstructured":"Xu J, Yu M, Shao L, Zuo W, Zhang D (2019) Scaled simplex representation for subspace clustering. IEEE Trans Cybern 51(3):1493\u20131505","journal-title":"IEEE Trans Cybern"},{"key":"11059_CR41","volume-title":"A General Framework for Motion Segmentation : Degenerate and Non-degenerate","author":"J Yan","year":"2006","unstructured":"Yan J, Pollefeys M (2006) A General Framework for Motion Segmentation\u202f: Degenerate and Non-degenerate. Springer, Berlin Heidelberg"},{"issue":"12","key":"11059_CR42","doi-asserted-by":"publisher","first-page":"4918","DOI":"10.1109\/TIP.2015.2472277","volume":"24","author":"M Yin","year":"2015","unstructured":"Yin M, Gao J, Lin Z, Shi Q, Guo Y (2015) Dual graph regularized latent low-rank representation for subspace clustering. IEEE Trans Image Process 24(12):4918\u20134933","journal-title":"IEEE Trans Image Process"},{"key":"11059_CR43","doi-asserted-by":"crossref","unstructured":"You C, Robinson DP, Vidal R (2016) Scalable sparse subspace clustering by orthogonal matching pursuit. In: IEEE conference on computer vision and pattern recognition","DOI":"10.1109\/CVPR.2016.425"},{"key":"11059_CR44","doi-asserted-by":"crossref","unstructured":"Zhang C, Fu H, Liu S, Liu G, Cao X (2015) Low-rank tensor constrained multiview subspace clustering. In: Proceedings of the IEEE international conference on computer vision, pp 1582\u20131590","DOI":"10.1109\/ICCV.2015.185"},{"key":"11059_CR45","doi-asserted-by":"crossref","unstructured":"Zhang C, Hu Q, Fu H, Zhu P, Cao X (2017) Latent multi-view subspace clustering. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 4279\u20134287","DOI":"10.1109\/CVPR.2017.461"},{"key":"11059_CR46","unstructured":"Zheng Z, Li L, Shen F, Tao S.H, Ling S (2018) Binary multi-view clustering. IEEE Trans Pattern Anal Mach Intell PP, 1\u20131"},{"key":"11059_CR47","unstructured":"Zhu P, Hui B, Zhang C, Du D, Wen L, Hu Q (2019) Multi-view deep subspace clustering networks. arXiv preprint arXiv:1908.01978"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-022-11059-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11063-022-11059-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-022-11059-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T16:02:50Z","timestamp":1690819370000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11063-022-11059-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,31]]},"references-count":47,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,8]]}},"alternative-id":["11059"],"URL":"https:\/\/doi.org\/10.1007\/s11063-022-11059-2","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,31]]},"assertion":[{"value":"16 October 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 January 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflict of interest to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}