{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T21:50:19Z","timestamp":1725745819730},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642400193"},{"type":"electronic","value":"9783642400209"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40020-9_78","type":"book-chapter","created":{"date-parts":[[2013,8,19]],"date-time":"2013-08-19T01:32:37Z","timestamp":1376875957000},"page":"702-709","source":"Crossref","is-referenced-by-count":0,"title":["Random Clouds on Matrix Lie Groups"],"prefix":"10.1007","author":[{"given":"Simone","family":"Fiori","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"78_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1007\/978-3-642-00826-9_6","volume-title":"Emerging Trends in Visual Computing","author":"F. Barbaresco","year":"2009","unstructured":"Barbaresco, F.: Interactions between symmetric cone and information geometries: Bruhat-Tits and Siegel spaces models for high resolution autoregressive Doppler imagery. In: Nielsen, F. (ed.) ETVC 2008. LNCS, vol.\u00a05416, pp. 124\u2013163. Springer, Heidelberg (2009)"},{"issue":"4","key":"78_CR2","doi-asserted-by":"crossref","first-page":"1298","DOI":"10.1016\/j.matcom.2008.03.013","volume":"79","author":"E. Celledoni","year":"2008","unstructured":"Celledoni, E., Fiori, S.: Descent methods for optimization on homogeneous manifolds. Journal of Mathematics and Computers in Simulation\u00a079(4), 1298\u20131323 (2008); Special issue on Structural Dynamical Systems: Computational Aspects, Guest Editors: N. Del Buono, L. Lopez, T. Politi","journal-title":"Journal of Mathematics and Computers in Simulation"},{"issue":"2","key":"78_CR3","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1137\/S0895479895290954","volume":"20","author":"A. Edelman","year":"1998","unstructured":"Edelman, A., Arias, T.A., Smith, S.T.: The geometry of algorithms with orthogonality constraints. SIAM Journal on Matrix Analysis Applications\u00a020(2), 303\u2013353 (1998)","journal-title":"SIAM Journal on Matrix Analysis Applications"},{"key":"78_CR4","first-page":"743","volume":"6","author":"S. Fiori","year":"2005","unstructured":"Fiori, S.: Quasi-geodesic neural learning algorithms over the orthogonal group: A tutorial. Journal of Machine Learning Research\u00a06, 743\u2013781 (2005)","journal-title":"Journal of Machine Learning Research"},{"issue":"12","key":"78_CR5","doi-asserted-by":"publisher","first-page":"4734","DOI":"10.1109\/TSP.2009.2027754","volume":"57","author":"S. Fiori","year":"2009","unstructured":"Fiori, S., Tanaka, T.: An algorithm to compute averages on matrix Lie groups. IEEE Transactions on Signal Processing\u00a057(12), 4734\u20134743 (2009)","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"1820","key":"78_CR6","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.1098\/rsta.2004.1382","volume":"362","author":"K.A. Hoffman","year":"2004","unstructured":"Hoffman, K.A.: Methods for determining stability in continuum elastic-rod models of DNA. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences\u00a0362(1820), 1301\u20131315 (2004)","journal-title":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences"},{"key":"78_CR7","doi-asserted-by":"crossref","unstructured":"Lee, T.-W.: Independent Component Analysis: Theory and Applications. Kluwer Academic Publishers (1998)","DOI":"10.1007\/978-1-4757-2851-4_2"},{"key":"78_CR8","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1186\/1687-6180-2012-52","volume":"2012","author":"A. Mohammad-Djafari","year":"2012","unstructured":"Mohammad-Djafari, A.: Bayesian approach with prior models which enforce sparsity in signal and image processing. EURASIP Journal on Advances in Signal Processing (Special issue on Sparse Signal Processing)\u00a02012, 52 (2012)","journal-title":"EURASIP Journal on Advances in Signal Processing (Special issue on Sparse Signal Processing)"},{"issue":"3","key":"78_CR9","first-page":"325","volume":"36","author":"M.J. Prentice","year":"1987","unstructured":"Prentice, M.J.: Fitting smooth paths to rotation data. The Journal of the Royal Statistical Society Series C (Applied Statistics)\u00a036(3), 325\u2013331 (1987)","journal-title":"The Journal of the Royal Statistical Society Series C (Applied Statistics)"},{"key":"78_CR10","unstructured":"Rao, R.P.N., Ruderman, D.L.: Learning Lie groups for invariant visual perception. In: Advances in Neural Information Processing Systems (NIPS), vol.\u00a011, pp. 810\u2013816 (1999)"},{"key":"78_CR11","doi-asserted-by":"crossref","unstructured":"Rentmeesters, Q., Absil, P., Van Dooren, P., Gallivan, K., Srivastava, A.: An efficient particle filtering technique on the Grassmann manifold. In: Proceedings of the 2010 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), Dallas, Texas, USA, March 14-19, pp. 3838\u20133841 (2010)","DOI":"10.1109\/ICASSP.2010.5495828"},{"key":"78_CR12","doi-asserted-by":"crossref","unstructured":"Rutkowski, T.M., Zdunek, R., Cichocki, A.: Multichannel EEG brain activity pattern analysis in time-frequency domain with nonnegative matrix factorization support. International Congress Series, vol.\u00a01301, pp. 266\u2013269. Elsevier (2007)","DOI":"10.1016\/j.ics.2006.11.013"},{"key":"78_CR13","volume-title":"A Comprehensive Introduction to Differential Geometry","author":"M. Spivak","year":"1979","unstructured":"Spivak, M.: A Comprehensive Introduction to Differential Geometry. Publish or Perish Press, Berkeley (1979)"},{"issue":"2","key":"78_CR14","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1109\/TNN.2004.841784","volume":"16","author":"H. Xiong","year":"2005","unstructured":"Xiong, H., Swamy, M.N.S., Ahmad, M.O.: Optimizing the kernel in the empirical feature space. IEEE Transactions on Neural Networks\u00a016(2), 460\u2013474 (2005)","journal-title":"IEEE Transactions on Neural Networks"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40020-9_78","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T18:40:20Z","timestamp":1558032020000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40020-9_78"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400193","9783642400209"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40020-9_78","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}