{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T05:42:42Z","timestamp":1774417362951,"version":"3.50.1"},"reference-count":71,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1109\/dsaa.2015.7344815","type":"proceedings-article","created":{"date-parts":[[2015,12,8]],"date-time":"2015-12-08T22:18:36Z","timestamp":1449613116000},"page":"1-9","source":"Crossref","is-referenced-by-count":6,"title":["Information preserving and locally isometric&amp;conformal embedding via Tangent Manifold Learning"],"prefix":"10.1109","author":[{"given":"Alexander","family":"Bernstein","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Kuleshov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yury","family":"Yanovich","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198510581.001.0001"},{"key":"ref70","first-page":"913","article-title":"Learning over sets using kernel principal angles","volume":"4","author":"wolf","year":"2003","journal-title":"Journal Machine Learning Research"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10994-009-5107-9"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/11829898_10","article-title":"Incremental Manifold Learning Via Tangent Space Alignment","volume":"4087","author":"liu","year":"2006","journal-title":"Proceedings of the Artificial Neural Networks in Pattern Recognition (ANNPR 2006) Lecture Notes in Computer Science"},{"key":"ref33","first-page":"129","article-title":"Non-local manifold tangent learning","author":"bengio","year":"2005","journal-title":"Advances in neural information processing systems"},{"key":"ref32","article-title":"Data-based Manifold Reconstruction via Tangent Bundle Manifold Learning","author":"kuleshov","year":"2014","journal-title":"31st International Conference on Machine Learning (ICML-2014) Workshop &#x2018;Topological Methods for Machine Learning"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"293","DOI":"10.7551\/mitpress\/6173.003.0022","article-title":"Spectral methods for dimensionality reduction","author":"saul","year":"2006","journal-title":"SemiSupervised Learning"},{"key":"ref30","first-page":"119","article-title":"Think globally, fit locally: unsupervised learning of low dimensional manifolds","volume":"4","author":"saul","year":"2003","journal-title":"Journal of Machine Learning Research"},{"key":"ref37","first-page":"2294","article-title":"The Manifold Tangent Classifier","author":"rifai","year":"2011","journal-title":"Advances in neural information processing systems"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2005.1415951"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1145\/1273496.1273527","author":"doll\u00e1r","year":"2007","journal-title":"Proceedings of the 24th International Conference on Machine Learning"},{"key":"ref34","first-page":"361","article-title":"Learning to Traverse Image Manifolds","author":"doll\u00e1r","year":"2006","journal-title":"Advances in Neural Information Processing Systems Bernhard Sch&#x00F6;lkopf"},{"key":"ref60","first-page":"359","article-title":"Manifold Learning: generalizing ability and tangent proximity","volume":"7","author":"bernstein","year":"2013","journal-title":"International Journal of Software and Informatics"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1145\/1390156.1390204"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2005.08.015"},{"key":"ref63","first-page":"325","article-title":"Asymptotically optimal method in Manifold estimation","author":"kuleshov","year":"2013","journal-title":"Abstracts of the XXIX-th European Meeting of Statisticians"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1162\/089976698300017467"},{"key":"ref64","first-page":"1263","article-title":"Minimax Manifold Estimation","volume":"13","author":"genovese","year":"2012","journal-title":"Journal of Machine Learning Research"},{"key":"ref27","doi-asserted-by":"crossref","DOI":"10.1201\/b11431","author":"ma","year":"2011","journal-title":"Manifold Learning Theory and Applications"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.21395"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iat003"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1162\/0899766041732396"},{"key":"ref67","author":"wasserman","year":"2007","journal-title":"All of Nonparametric Statistics"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iau004"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1145\/1390156.1390204"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1126\/science.290.5500.2268"},{"key":"ref1","first-page":"1","article-title":"Representation learning: a review and new perspectives","author":"bengio","year":"2012","journal-title":"arXiv 1206 5538v2"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321780317"},{"key":"ref22","first-page":"961","article-title":"Charting a manifold","author":"brand","year":"2003","journal-title":"Advances in Neural Information Processing Systems 15"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1031596100"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502419154"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-005-4939-z"},{"key":"ref26","first-page":"691","article-title":"Survey of Manifold-based Learning Methods","author":"huo","year":"2007","journal-title":"Recent Advances in Data Mining of Enterprise Data"},{"key":"ref25","first-page":"541","article-title":"Algorithms for manifold learning","author":"cayton","year":"2005","journal-title":"Univ of California at San Diego (UCSD) Technical Report CS20080923"},{"key":"ref50","first-page":"460","article-title":"Minimum volume embedding","volume":"2","author":"shaw","year":"2007","journal-title":"Proceedings of the 11th Conference on Artificial Intelligence and Statistics (AISTATS)"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2007.70735"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1609\/aaai.v24i1.7676","article-title":"Conformal Mapping by Computationally Efficient Methods","author":"pintilie","year":"2010","journal-title":"Proceedings of the Twenty-Fourth AAAI Conference on Artificial Intelligence (AAAI-10)"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2007.383410"},{"key":"ref57","first-page":"785","volume":"119","author":"sha","year":"2005","journal-title":"Proceedings of the 22nd International Conference on Machine Learning ICML-05 Bonn Germany 2005 ACM International Conference Proceeding Series"},{"key":"ref56","first-page":"119","article-title":"Enhanced Multilevel Manifold Learning","author":"fang","year":"2013","journal-title":"Journal of Machine Learning Research"},{"key":"ref55","first-page":"2415","article-title":"Distance Preserving Embeddings for General n-Dimensional Manifolds","volume":"14","author":"verma","year":"2013","journal-title":"Journal of Machine Learning Research"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-39787-5_5"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-010-0322-1"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2009.2025028"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.926091"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.2197\/ipsjtcva.1.83"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2010.10.005"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-04268-3_38"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2010.05.008"},{"key":"ref14","article-title":"Comparison of Three Geometric Parameterization methods and Their Effect on Aerodynamic Optimization","author":"bernstein","year":"2011","journal-title":"Proceedings of International Conference on Evolutionary and Deterministic Methods for Design Optimization and Control with Applications to Industrial and Societal Problems (Eurogen 2011)"},{"key":"ref15","first-page":"172","volume":"6313","author":"nascimento","year":"2010","journal-title":"Proceedings of the 11th European Conference on Computer Vision 2010 Part III Lecture Notes in Computer Science"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.4018\/978-1-4666-0059-1.ch017"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2014.04.004"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","article-title":"Nonlinear dimensionality reduction by locally linear embedding","volume":"290","author":"saul","year":"2000","journal-title":"Science"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","article-title":"A global geometric framework for nonlinear dimensionality reduction","volume":"290","author":"tehenbaum","year":"2000","journal-title":"Science"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.12.017"},{"key":"ref3","first-page":"21","article-title":"Quality assessment of dimensionality reduction based on k-ary neighborhoods","volume":"4","author":"lee","year":"2008","journal-title":"Proc JMLR Workshop Conf"},{"key":"ref6","first-page":"1","article-title":"Tangent Bundle Manifold Learning via Grassmann&Stiefel Eigenmaps","author":"bernstein","year":"2012","journal-title":"arXiv 1212 6031vl [cs LG]"},{"key":"ref5","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-29403-2_1","article-title":"Riemannian geometry","volume":"171","author":"petersen","year":"2006","journal-title":"Graduate Texts in Mathematics"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2007.4409044"},{"key":"ref7","first-page":"116","article-title":"Manifold Learning and Representations for Image Analysis and Visualization","author":"brun","year":"2006","journal-title":"Link&#x00F6;ping Studies in Science and Technology"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611972771.56"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1093\/ietcom\/e90-b.12.3496"},{"key":"ref46","first-page":"988","article-title":"Unsupervised learning of image manifolds by semidefinite programming","author":"weinberger","year":"2004","journal-title":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR)"},{"key":"ref45","first-page":"705","article-title":"Global versus local methods in nonlinear dimensionality reduction","author":"silva de","year":"2003","journal-title":"Becker STS"},{"key":"ref48","first-page":"381","article-title":"Nonlinear dimensionality reduction by semidefinite programming and kernel matrix factorization","author":"weinberger","year":"2005","journal-title":"Proceedings of the 10th International Workshop on Artificial Intelligence and Statistics (AISTATS)"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-005-4965-4"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2006.11.007"},{"key":"ref41","first-page":"1909","article-title":"Manifold Learning: The Price of Normalization","volume":"9","author":"goldberg","year":"2008","journal-title":"Journal of Machine Learning Research"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/978-0-387-21579-2_31","article-title":"Unsupervised learning of curved manifolds","volume":"171","author":"silva de","year":"2003","journal-title":"Nonlinear Estimation and Classification Lecture Notes in Statistics"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s11460-011-0124-4","article-title":"Tangent space learning and generalization","volume":"6","author":"he","year":"2011","journal-title":"Frontiers of Electrical and Electronic Engineering in China"}],"event":{"name":"2015 IEEE International Conference on Data Science and Advanced Analytics (DSAA)","location":"Campus des Cordeliers, Paris, France","start":{"date-parts":[[2015,10,19]]},"end":{"date-parts":[[2015,10,21]]}},"container-title":["2015 IEEE International Conference on Data Science and Advanced Analytics (DSAA)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7344768\/7344769\/07344815.pdf?arnumber=7344815","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,31]],"date-time":"2025-05-31T17:57:14Z","timestamp":1748714234000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7344815\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10]]},"references-count":71,"URL":"https:\/\/doi.org\/10.1109\/dsaa.2015.7344815","relation":{},"subject":[],"published":{"date-parts":[[2015,10]]}}}