{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T20:40:14Z","timestamp":1760820014685,"version":"3.33.0"},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540009139"},{"type":"electronic","value":"9783540365808"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003]]},"DOI":"10.1007\/3-540-36580-x_16","type":"book-chapter","created":{"date-parts":[[2007,12,9]],"date-time":"2007-12-09T12:13:36Z","timestamp":1197202416000},"page":"188-202","source":"Crossref","is-referenced-by-count":5,"title":["Conditions of Optimal Classification for Piecewise Affine Regression"],"prefix":"10.1007","author":[{"given":"Giancarlo","family":"Ferrari-Trecate","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael","family":"Schinkel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2003,3,14]]},"reference":[{"key":"16_CR1","doi-asserted-by":"crossref","unstructured":"A. Bemporad, J. Roll, and L. Ljung. Identification of hybrid systems via mixedinteger programming. Proc. IEEE Conference on Decision and Control, pages 786\u2013792, 2001.","DOI":"10.1109\/CDC.2001.980202"},{"issue":"3","key":"16_CR2","doi-asserted-by":"publisher","first-page":"999","DOI":"10.1109\/18.256506","volume":"39","author":"L. Breiman","year":"1993","unstructured":"L. Breiman. Hinging hyperplanes for regression, classification, and function approximation. IEEE Trans. Inform. Theory, 39(3):999\u20131013, 1993.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"16_CR3","series-title":"Lect Notes Comput Sci","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1007\/3-540-45351-2_20","volume-title":"Proc. 4th International Workshop on Hybrid Systems: Computation and Control","author":"G. Ferrari-Trecate","year":"2001","unstructured":"G. Ferrari-Trecate, M. Muselli, D. Liberati, and M. Morari. A clustering technique for the identification of piecewise affine systems. In M. Di Benedetto and A. Sangiovanni-Vincentelli, editors, Proc. 4th International Workshop on Hybrid Systems: Computation and Control, volume 2034 of Lecture Notes in Computer Science, pages 218\u2013231. Springer-Verlag, 2001."},{"key":"16_CR4","doi-asserted-by":"crossref","unstructured":"G. Ferrari-Trecate, M. Muselli, D. Liberati, and M. Morari. A clustering technique for the identification of piecewise affine systems. Automatica, 39(2), 2002. To appear.","DOI":"10.1016\/S0005-1098(02)00224-8"},{"key":"16_CR5","unstructured":"B. Fritzke. Some competitive learning methods. Technical report, Institute for Neural Computation. Ruhr-Universit at Bochum, 1997."},{"key":"16_CR6","unstructured":"R.E. Gro., D.E. Koditschek, and P.P. Khargonekar. Piecewise linear homeomorphisms: The scalar case. Proc. Int. Joint Conf. on Neural Networks, 3:259\u2013264, 2000."},{"key":"16_CR7","volume-title":"Neural networks-a comprehensive foundation","author":"S. Haykin","year":"1994","unstructured":"S. Haykin. Neural networks-a comprehensive foundation. Macmillan, Englewood Cliffs, 1994."},{"issue":"10","key":"16_CR8","doi-asserted-by":"publisher","first-page":"2850","DOI":"10.1109\/78.869035","volume":"48","author":"E.A. Heredia","year":"2000","unstructured":"E.A. Heredia and R.A. Gonzalo. Nonlinear filters based on combinations of piecewise polynomials with compact support. IEEE Trans. on Signal Processing, 48(10):2850\u20132863, 2000.","journal-title":"IEEE Trans. on Signal Processing"},{"issue":"2","key":"16_CR9","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/0005-1098(94)00096-2","volume":"31","author":"T.A. Johansen","year":"1995","unstructured":"T.A. Johansen and B.A. Foss. Identification of non-linear system structure and parameters using regime decomposition. Automatica, 31(2):321\u2013326, 1995.","journal-title":"Automatica"},{"key":"16_CR10","doi-asserted-by":"publisher","first-page":"1084","DOI":"10.1214\/aoms\/1177699900","volume":"36","author":"J. MacQueen","year":"1965","unstructured":"J. MacQueen. On convergence of K-means and partitions with minimum average variance. Ann. Math. Statist., 36:1084, 1965. Abstract.","journal-title":"Ann. Math. Statist."},{"issue":"2","key":"16_CR11","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1109\/TAC.1981.1102596","volume":"26","author":"E. D. Sontag","year":"1981","unstructured":"E. D. Sontag. Nonlinear regulation: The piecewise linear approach. IEEE Trans. Automatic Control, 26(2):346\u2013358, April 1981.","journal-title":"IEEE Trans. Automatic Control"}],"container-title":["Lecture Notes in Computer Science","Hybrid Systems: Computation and Control"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-36580-X_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T13:15:51Z","timestamp":1737638151000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-36580-X_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003]]},"ISBN":["9783540009139","9783540365808"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/3-540-36580-x_16","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2003]]}}}