{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T08:48:20Z","timestamp":1759826900492},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540292432"},{"type":"electronic","value":"9783540316923"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11564096_10","type":"book-chapter","created":{"date-parts":[[2005,11,9]],"date-time":"2005-11-09T11:54:27Z","timestamp":1131537267000},"page":"47-59","source":"Crossref","is-referenced-by-count":4,"title":["Nonrigid Embeddings for Dimensionality Reduction"],"prefix":"10.1007","author":[{"given":"Matthew","family":"Brand","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"10_CR1","unstructured":"Belkin, M., Niyogi, P.: Laplacian eigenmaps for dimensionality reduction and data representation. In: Advances in Neural Information Processing Systems, vol.\u00a014 (2002)"},{"key":"10_CR2","unstructured":"Brand, M.: Charting a manifold. In: Advances in Neural Information Processing Systems, vol.\u00a015 (2003)"},{"key":"10_CR3","doi-asserted-by":"crossref","unstructured":"Brand, M.: From subspaces to submanifolds. In: Proceedings, British Machine Vision Conference (2004)","DOI":"10.5244\/C.18.2"},{"key":"10_CR4","unstructured":"Donoho, D.L., Grimes, C.: Hessian eigenmaps. In: Proceedings, National Academy of Sciences (2003)"},{"issue":"2","key":"10_CR5","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1137\/S1064827500366124","volume":"23","author":"A.V. Knyazev","year":"2001","unstructured":"Knyazev, A.V.: Toward the optimal preconditioned eigensolver. SIAM Journal on Scientific Computing\u00a023(2), 517\u2013541 (2001)","journal-title":"SIAM Journal on Scientific Computing"},{"issue":"2","key":"10_CR6","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/BF01200757","volume":"15","author":"N. Linial","year":"1995","unstructured":"Linial, N., London, E., Rabinovich, Y.: The geometry of graphs and some of its algorithmic applications. Combinatorica\u00a015(2), 215\u2013245 (1995)","journal-title":"Combinatorica"},{"issue":"4","key":"10_CR7","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1002\/j.1538-7305.1983.tb03114.x","volume":"62","author":"S. Levinson","year":"1983","unstructured":"Levinson, S., Rabiner, L., Sondhi, M.: An introduction to the application of the theory of probabilistic functions of a markov process to automatic speech recognition. Bell System Technical Journal\u00a062(4), 1035\u20131074 (1983)","journal-title":"Bell System Technical Journal"},{"key":"10_CR8","doi-asserted-by":"publisher","first-page":"2323","DOI":"10.1126\/science.290.5500.2323","volume":"290","author":"S.T. Roweis","year":"2000","unstructured":"Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by locally linear embedding. Science\u00a0290, 2323\u20132326 (2000)","journal-title":"Science"},{"key":"10_CR9","volume-title":"Matrix perturbation theory","author":"G.W. Stewart","year":"1990","unstructured":"Stewart, G.W., Sun, J.-G.: Matrix perturbation theory. Academic Press, London (1990)"},{"key":"10_CR10","doi-asserted-by":"crossref","unstructured":"Tutte, W.T.: How to draw a graph. In: Proc. London Mathematical Society, vol.\u00a013, pp. 743\u2013768 (1963)","DOI":"10.1112\/plms\/s3-13.1.743"},{"key":"10_CR11","unstructured":"Weinberger, K.Q., Packer, B.D., Saul, L.K.: Nonlinear dimensionality reduction by semidefinite programming and kernel matrix factorization. In: Proc. AI & Statistics (2005)"},{"key":"10_CR12","doi-asserted-by":"crossref","unstructured":"Weinberger, K.Q., Sha, F., Saul, L.K.: Learning a kernel matrix for nonlinear dimensionality reduction. In: Proc. 21st ICML (2004)","DOI":"10.1145\/1015330.1015345"},{"key":"10_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/978-3-540-45080-1_66","volume-title":"Intelligent Data Engineering and Automated Learning \u2013 IDEAL 2003","author":"Z. Zhang","year":"2003","unstructured":"Zhang, Z., Zha, H.: Nonlinear dimension reduction via local tangent space alignment. In: Liu, J., Cheung, Y.-m., Yin, H. (eds.) IDEAL 2003. LNCS, vol.\u00a02690, pp. 477\u2013481. Springer, Heidelberg (2003)"}],"container-title":["Lecture Notes in Computer Science","Machine Learning: ECML 2005"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11564096_10.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T19:52:47Z","timestamp":1605642767000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11564096_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540292432","9783540316923"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/11564096_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}