{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T01:21:17Z","timestamp":1725499277246},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540744931"},{"type":"electronic","value":"9783540744948"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-74494-8_9","type":"book-chapter","created":{"date-parts":[[2007,12,18]],"date-time":"2007-12-18T15:15:36Z","timestamp":1197990936000},"page":"65-72","source":"Crossref","is-referenced-by-count":1,"title":["Using State Space Differential Geometry for Nonlinear Blind Source Separation"],"prefix":"10.1007","author":[{"given":"David N.","family":"Levin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"9_CR1","doi-asserted-by":"crossref","DOI":"10.1002\/0471221317","volume-title":"Independent Component Analysis","author":"A. Hyv\u00e4rinen","year":"2001","unstructured":"Hyv\u00e4rinen, A., Karhunen, J., Oja, E.: Independent Component Analysis. Wiley, New York (2001)"},{"key":"9_CR2","unstructured":"Jutten, C., Karhunen, J.: Advances in nonlinear blind source separation. In: Proceedings of the 4th International Symposium on Independent Component Analysis and Blind Signal Separation (ICA 2003), Nara, Japan (April 2003)"},{"key":"9_CR3","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1016\/S0893-6080(98)00140-3","volume":"12","author":"A. Hyv\u00e4rinen","year":"1999","unstructured":"Hyv\u00e4rinen, A., Pajunen, P.: Nonlinear independent component analysis: existence and uniqueness results. Neural Networks\u00a012, 429\u2013439 (1999)","journal-title":"Neural Networks"},{"key":"9_CR4","unstructured":"Sears, F.W.: Thermodynamics, the Kinetic Theory of Gases, and Statistical Mechanics, 2nd edn. Addison-Wesley, Reading, MA (1959)"},{"key":"9_CR5","unstructured":"Levin, D.N.: Using state space differential geometry for nonlinear blind source separation (2006), \n                    \n                      http:\/\/arxiv.org\/abs\/cs\/0612096"},{"key":"9_CR6","doi-asserted-by":"crossref","first-page":"104701","DOI":"10.1063\/1.2128687","volume":"98","author":"D.N. Levin","year":"2005","unstructured":"Levin, D.N.: Channel-independent and sensor-independent stimulus representations. J. Applied Physics\u00a098, 104701 (2005), \n                    \n                      http:\/\/www.geocities.com\/dlevin2001\/","journal-title":"J. Applied Physics"},{"key":"9_CR7","first-page":"1941","volume-title":"Proc. 1998 IEEE Int. Conf. on Acoustics, Speech and Signal Processing (ICASSP 1998)","author":"J.-F. Cardoso","year":"1998","unstructured":"Cardoso, J-F.: Multidimensional independent component analysis. In: Proc. 1998 IEEE Int. Conf. on Acoustics, Speech and Signal Processing (ICASSP 1998), Seattle, pp. 1941\u20131944. IEEE Computer Society Press, Los Alamitos (1998)"},{"key":"9_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0129065700000028","volume":"10","author":"E. Bingham","year":"2000","unstructured":"Bingham, E., Hyv\u00e4rinen, A.: A fast fixed-point algorithm for independent component analysis of complex-valued signals. Int. J. of Neural Systems\u00a010, 1\u20138 (2000)","journal-title":"Int. J. of Neural Systems"},{"key":"9_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/11679363_37","volume-title":"Independent Component Analysis and Blind Signal Separation","author":"Y. Nishimori","year":"2006","unstructured":"Nishimori, Y., Akaho, S., Plumbley, M.D.: Riemannian optimization method on the flag manifold for independent subspace analysis. In: Rosca, J., Erdogmus, D., Pr\u00edncipe, J.C., Haykin, S. (eds.) ICA 2006. LNCS, vol.\u00a03889, pp. 295\u2013302. Springer, Heidelberg (2006)"},{"key":"9_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/978-3-540-30110-3_11","volume-title":"Independent Component Analysis and Blind Signal Separation","author":"S. Lagrange","year":"2004","unstructured":"Lagrange, S., Jaulin, L., Vigneron, V., Jutten, C.: Analytic solution of the blind source separation problem using derivatives. In: Puntonet, C.G., Prieto, A.G. (eds.) ICA 2004. LNCS, vol.\u00a03195, pp. 81\u201388. Springer, Heidelberg (2004)"},{"key":"9_CR11","volume-title":"Neural Networks - A Comprehensive Foundation","author":"S. Haykin","year":"1998","unstructured":"Haykin, S.: Neural Networks - A Comprehensive Foundation, 2nd edn. Prentice Hall, New York (1998)","edition":"2"},{"key":"9_CR12","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/S0165-1684(97)00196-5","volume":"64","author":"H. Yang","year":"1998","unstructured":"Yang, H., Amari, S.I., Cichocki, A.: Information-theoretic approach to blind separation of sources in non-linear mixture. Signal Processing\u00a064, 291\u2013300 (1998)","journal-title":"Signal Processing"},{"key":"9_CR13","doi-asserted-by":"publisher","first-page":"2807","DOI":"10.1109\/78.790661","volume":"47","author":"A. Taleb","year":"1999","unstructured":"Taleb, A., Jutten, C.: Source separation in post nonlinear mixtures. IEEE Trans. on Signal Processing\u00a047, 2807\u20132820 (1999)","journal-title":"IEEE Trans. on Signal Processing"},{"key":"9_CR14","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1162\/089976698300017746","volume":"10","author":"S. Amari","year":"1998","unstructured":"Amari, S.: Natural gradient works efficiently in learning. Neural Computation\u00a010, 251\u2013276 (1998)","journal-title":"Neural Computation"},{"key":"9_CR15","volume-title":"Gravitation and Cosmology - Principles and Applications of the General Theory of Relativity","author":"S. Weinberg","year":"1972","unstructured":"Weinberg, S.: Gravitation and Cosmology - Principles and Applications of the General Theory of Relativity. Wiley, New York (1972)"}],"container-title":["Lecture Notes in Computer Science","Independent Component Analysis and Signal Separation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-74494-8_9.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T10:21:17Z","timestamp":1619518877000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-74494-8_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540744931","9783540744948"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-74494-8_9","relation":{},"subject":[]}}