{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T06:06:31Z","timestamp":1764828391002,"version":"3.38.0"},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540220565"},{"type":"electronic","value":"9783540247098"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2004]]},"DOI":"10.1007\/978-3-540-24709-8_104","type":"book-chapter","created":{"date-parts":[[2010,9,11]],"date-time":"2010-09-11T01:43:48Z","timestamp":1284169428000},"page":"988-997","source":"Crossref","is-referenced-by-count":5,"title":["A Continuous Technique for the Weighted Low-Rank Approximation Problem"],"prefix":"10.1007","author":[{"given":"Nicoletta","family":"Del Buono","sequence":"first","affiliation":[]},{"given":"Tiziano","family":"Politi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"104_CR1","unstructured":"Chu, M.T., Del Buono, N., Lopez, L., Politi, T.: On the Low Rank Approximation of Data on the Unit Sphere. Submitted for publication"},{"issue":"5","key":"104_CR2","doi-asserted-by":"publisher","first-page":"912","DOI":"10.1023\/A:1021924825224","volume":"41","author":"N. Buono Del","year":"2001","unstructured":"Del Buono, N., Lopez, L.: Runge-Kutta Type Methods Based on Geodesics for Systems of ODEs on the Stiefel Manifold. BIT\u00a041(5), 912\u2013923 (2001)","journal-title":"BIT"},{"key":"104_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 J. Matr. Anal. Appl.\u00a020, 303\u2013353 (1998)","journal-title":"SIAM J. Matr. Anal. Appl."},{"key":"104_CR4","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1109\/TAC.1980.1102314","volume":"25","author":"V.C. Klema","year":"1980","unstructured":"Klema, V.C., Laub, A.J.: The singular value decomposition: its computation and some applications. IEEE Trans. Automat. Contr.\u00a025, 164\u2013176 (1980)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"104_CR5","doi-asserted-by":"crossref","unstructured":"Lu, W.S.: Is the SVD-Based Low-Rank Approximation Optimal? In: Proc. 38th Midwest Symp. CAS, Rio, Brazil, pp. 470\u2013473 (1995)","DOI":"10.1109\/MWSCAS.1995.504478"},{"issue":"7","key":"104_CR6","doi-asserted-by":"publisher","first-page":"650","DOI":"10.1109\/81.596949","volume":"44","author":"W.S. Lu","year":"1997","unstructured":"Lu, W.S., Pei, S.C., Wang, P.H.: Weighted Low-Rank Approximation of General Complex Matrices and its Application in the Design of 2-D Digital Filters. IEEE Trans. Circuits Syst. I\u00a044(7), 650\u2013655 (1997)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"3","key":"104_CR7","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1109\/82.664247","volume":"45","author":"W.S. Lu","year":"1998","unstructured":"Lu, W.S., Pei, S.C.: On Optimal Low-Rank Approximation of Multidimensional Discrete Signals. IEEE Trans. Circuits Syst. II\u00a045(3), 417\u2013422 (1998)","journal-title":"IEEE Trans. Circuits Syst. II"},{"key":"104_CR8","unstructured":"Lu, W.S., Antoniou, A.: New Method for Weighted Low-Rank Approximation of Complex-Valued Matrices and its Application for the Design of 2-D Digital Filters. In: ISCAS, vol.\u00a0III, pp. 694\u2013697 (2003)"},{"key":"104_CR9","unstructured":"Simonsson, L., Eld\u00e9n, L.: Computing a Partial SVD of a Matrix with Missing Data. In: Numerical Linear Algebra and its Applications: XXI International School and Workshop, Porto Giardino, Monopoli, Italy (2003)"},{"key":"104_CR10","unstructured":"Shpak, D.: A weighted-least-squares matrix decomposition method with applications to the design of two-dimensional digital filters. In: IEEE Thirty Third Midwest Symposium on Circuits and Systems (1990)"},{"key":"104_CR11","unstructured":"Srebro, N., Jaakkola, T.: Generalized Low-Rank Approximations. AI Memo 2003-001, MIT Artificial Intelligence Laboratory (2003)"},{"key":"104_CR12","unstructured":"Srebro, N., Jaakkola, T.: Weighted Low-Rank Approximations. In: Proceedings of Twentieth International Conference on Machine Learning (ICML 2003), Washington DC (2003)"},{"key":"104_CR13","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.1162\/089976600300015349","volume":"12","author":"J.B. Tenenbaum","year":"2000","unstructured":"Tenenbaum, J.B., Freeman, W.T.: Separating style and content with bilinear models. Neural Computation\u00a012, 1247\u20131283 (2000)","journal-title":"Neural Computation"},{"key":"104_CR14","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/BF02288574","volume":"6","author":"G. Young","year":"1940","unstructured":"Young, G.: Maximum likelihood estimation and factor anlysis. Psychometrika\u00a06, 49\u201353 (1940)","journal-title":"Psychometrika"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2004"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-24709-8_104","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T18:08:55Z","timestamp":1740506935000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-24709-8_104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004]]},"ISBN":["9783540220565","9783540247098"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-24709-8_104","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2004]]}}}