{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T21:50:24Z","timestamp":1725745824780},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642400193"},{"type":"electronic","value":"9783642400209"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40020-9_84","type":"book-chapter","created":{"date-parts":[[2013,8,18]],"date-time":"2013-08-18T21:32:37Z","timestamp":1376861557000},"page":"751-758","source":"Crossref","is-referenced-by-count":1,"title":["A Kernel View on Manifold Sub-sampling Based on Karcher Variance Optimization"],"prefix":"10.1007","author":[{"given":"Nicolas","family":"Courty","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Burger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"84_CR1","unstructured":"Shroff, N., Turaga, P., Chellappa, R.: Manifold precis: An annealing technique for diverse sampling of manifolds. In: NIPS, pp. 154\u2013162 (2011)"},{"key":"84_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/978-3-642-23780-5_35","volume-title":"Machine Learning and Knowledge Discovery in Databases","author":"M. Farajtabar","year":"2011","unstructured":"Farajtabar, M., Shaban, A., Rabiee, H.R., Rohban, M.H.: Manifold coarse graining for online semi-supervised learning. In: Gunopulos, D., Hofmann, T., Malerba, D., Vazirgiannis, M. (eds.) ECML PKDD 2011, Part I. LNCS, vol.\u00a06911, pp. 391\u2013406. Springer, Heidelberg (2011)"},{"issue":"9","key":"84_CR3","doi-asserted-by":"publisher","first-page":"1393","DOI":"10.1109\/TPAMI.2006.184","volume":"28","author":"S. Lafon","year":"2006","unstructured":"Lafon, S., Lee, A.B.: Diffusion maps and coarse-graining: A unified framework for dimensionality reduction, graph partitioning, and data set parameterization. PAMI\u00a028(9), 1393\u20131403 (2006)","journal-title":"PAMI"},{"key":"84_CR4","doi-asserted-by":"crossref","unstructured":"\u00d6ztireli, C., Alexa, M., Gross, M.: Spectral sampling of manifolds. ACM Transaction on Graphics (Siggraph Asia) (December 2010)","DOI":"10.1145\/1866158.1866190"},{"issue":"8","key":"84_CR5","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1109\/TMM.2010.2058795","volume":"12","author":"N. Shroff","year":"2010","unstructured":"Shroff, N., Turaga, P., Chellappa, R.: Video pr\u00e9cis: Highlighting diverse aspects of videos. IEEE Transactions on Multimedia\u00a012(8), 853\u2013868 (2010)","journal-title":"IEEE Transactions on Multimedia"},{"key":"84_CR6","doi-asserted-by":"crossref","unstructured":"Schiffer, M., Spencer, D.C.: Functionals of finite Riemann surfaces. Princeton mathematical series. Princeton University Press (1954)","DOI":"10.1515\/9781400877522"},{"issue":"1","key":"84_CR7","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1016\/j.acha.2006.04.006","volume":"21","author":"R.R. Coifman","year":"2006","unstructured":"Coifman, R.R., Lafon, S.: Diffusion maps. Applied & Computational Harmonic Analysis\u00a021(1), 5\u201330 (2006)","journal-title":"Applied & Computational Harmonic Analysis"},{"key":"84_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/978-3-642-23780-5_33","volume-title":"Machine Learning and Knowledge Discovery in Databases","author":"N. Courty","year":"2011","unstructured":"Courty, N., Burger, T., Laurent, J.: perTurbo: A new classification algorithm based on the spectrum perturbations of the laplace-beltrami operator. In: Gunopulos, D., Hofmann, T., Malerba, D., Vazirgiannis, M. (eds.) ECML PKDD 2011, Part I. LNCS, vol.\u00a06911, pp. 359\u2013374. Springer, Heidelberg (2011)"},{"key":"84_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1007\/978-3-642-33460-3_25","volume-title":"Machine Learning and Knowledge Discovery in Databases","author":"N. Courty","year":"2012","unstructured":"Courty, N., Burger, T., Marteau, P.-F.: Geodesic analysis on the gaussian RKHS hypersphere. In: Flach, P.A., De Bie, T., Cristianini, N. (eds.) ECML PKDD 2012, Part I. LNCS, vol.\u00a07523, pp. 299\u2013313. Springer, Heidelberg (2012)"},{"issue":"5","key":"84_CR10","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1002\/cpa.3160300502","volume":"30","author":"H. Karcher","year":"1977","unstructured":"Karcher, H.: Riemannian center of mass and mollifier smoothing. Communications on Pure and Applied Mathematics\u00a030(5), 509\u2013541 (1977)","journal-title":"Communications on Pure and Applied Mathematics"},{"issue":"3","key":"84_CR11","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1112\/jlms\/s2-43.3.567","volume":"2","author":"W.S. Kendall","year":"1991","unstructured":"Kendall, W.S.: Convexity and the hemisphere. J. of the London Math. Soc.\u00a02(3), 567 (1991)","journal-title":"J. of the London Math. Soc."},{"key":"84_CR12","doi-asserted-by":"crossref","unstructured":"Ding, C., He, X.: K-means clustering via principal component analysis. In: Proceedings of the Twenty-first ICML, p. 29. ACM (2004)","DOI":"10.1145\/1015330.1015408"},{"issue":"8","key":"84_CR13","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1109\/TMI.2004.831793","volume":"23","author":"T. Fletcher","year":"2004","unstructured":"Fletcher, T., Lu, C., Pizer, S., Joshi, S.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Trans. Med. Imaging\u00a023(8), 995\u20131005 (2004)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"84_CR14","unstructured":"Said, S., Courty, N., LeBihan, N., Sangwine, S.J.: Exact principal geodesic analysis for data on so(3). In: Proceedings of EUSIPCO 2007, Poland (2007)"},{"issue":"4","key":"84_CR15","doi-asserted-by":"publisher","first-page":"848","DOI":"10.1137\/0917055","volume":"17","author":"M. Gu","year":"1996","unstructured":"Gu, M., Eisenstat, S.: Efficient algorithms for computing a strong rank-revealing qr factorization. SIAM Journal on Scientific Computing\u00a017(4), 848\u2013869 (1996)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"84_CR16","unstructured":"Xiong, T., Ye, J., Li, Q., Janardan, R., Cherkassky, V.: Efficient kernel discriminant analysis via qr decomposition. In: NIPS (2004)"},{"key":"84_CR17","first-page":"76","volume":"17","author":"M. Gu","year":"2004","unstructured":"Gu, M., Miranian, L.: Strong rank revealing cholesky factorization. ETNA. Electronic Transactions on Numerical Analysis\u00a017, 76\u201392 (2004)","journal-title":"ETNA. Electronic Transactions on Numerical Analysis"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40020-9_84","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T22:01:30Z","timestamp":1558303290000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40020-9_84"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400193","9783642400209"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40020-9_84","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}