{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,1]],"date-time":"2025-02-01T05:28:56Z","timestamp":1738387736978,"version":"3.35.0"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540877318"},{"type":"electronic","value":"9783540877325"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-87732-5_67","type":"book-chapter","created":{"date-parts":[[2008,9,4]],"date-time":"2008-09-04T07:16:14Z","timestamp":1220512574000},"page":"600-609","source":"Crossref","is-referenced-by-count":4,"title":["A BYY Split-and-Merge EM Algorithm for Gaussian Mixture Learning"],"prefix":"10.1007","author":[{"given":"Lei","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinwen","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"67_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","volume":"39","author":"A.P. Dempster","year":"1977","unstructured":"Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximun Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Soceity B\u00a039, 1\u201338 (1977)","journal-title":"Journal of the Royal Statistical Soceity B"},{"key":"67_CR2","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H. Akaike","year":"1974","unstructured":"Akaike, H.: A New Look at the Statistical Model Identification. IEEE Transactions on Automatic Control\u00a019, 716\u2013723 (1974)","journal-title":"IEEE Transactions on Automatic Control"},{"key":"67_CR3","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G. Scharz","year":"1978","unstructured":"Scharz, G.: Estimating the Dimension of a Model. The Annals of Statistics\u00a06, 461\u2013464 (1978)","journal-title":"The Annals of Statistics"},{"key":"67_CR4","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1142\/S0129065701000497","volume":"11","author":"L. Xu","year":"2001","unstructured":"Xu, L.: Best Harmony, Unified RPCL and Automated Model Selection for Unsupervised and Supervised Learning on Gaussian Mixtures, Three-layer Nets and ME-RBF-SVM Models. International Journal of Neural Systems\u00a011, 43\u201369 (2001)","journal-title":"International Journal of Neural Systems"},{"key":"67_CR5","doi-asserted-by":"publisher","first-page":"1231","DOI":"10.1016\/S0893-6080(02)00084-9","volume":"15","author":"L. Xu","year":"2002","unstructured":"Xu, L.: BYY Harmony Learning, Structural RPCL, and Topological Self-Organzing on Mixture Modes. Neural Networks\u00a015, 1231\u20131237 (2002)","journal-title":"Neural Networks"},{"key":"67_CR6","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1016\/j.neucom.2003.10.009","volume":"56","author":"J. Ma","year":"2004","unstructured":"Ma, J., Wang, T., Xu, L.: A Gradient BYY harmony Learning Rule on Gaussian Mixture with Automated Model Selection. Neurocomputing\u00a056, 481\u2013487 (2004)","journal-title":"Neurocomputing"},{"issue":"5","key":"67_CR7","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1142\/S0218001405004228","volume":"19","author":"J. Ma","year":"2005","unstructured":"Ma, J., Gao, B., Wang, Y., et al.: Conjugate and Natural Gradient Rules for BYY Harmony Learning on Gaussian Mixture with Automated Model Selection. International Journal of Pattern Recognition and Artificial Intelligence\u00a019(5), 701\u2013713 (2005)","journal-title":"International Journal of Pattern Recognition and Artificial Intelligence"},{"issue":"1","key":"67_CR8","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/s11063-006-9008-7","volume":"24","author":"J. Ma","year":"2006","unstructured":"Ma, J., Wang, L.: BYY Harmony Learning on Finite Mixture: Adaptive Gradient Implementation and A Floating RPCL Mechanism. Neural Processing Letters\u00a024(1), 19\u201340 (2006)","journal-title":"Neural Processing Letters"},{"key":"67_CR9","doi-asserted-by":"publisher","first-page":"2029","DOI":"10.1016\/j.patcog.2006.12.028","volume":"40","author":"J. Ma","year":"2007","unstructured":"Ma, J., Liu, J.: The BYY Annealing Learning Algorithm for Gaussian Mixture with Automated Model Selection. Pattern Recognition\u00a040, 2029\u20132037 (2007)","journal-title":"Pattern Recognition"},{"issue":"6","key":"67_CR10","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1016\/j.patrec.2007.11.014","volume":"29","author":"J. Ma","year":"2008","unstructured":"Ma, J., He, X.: A Fast Fixed-point BYY Harmony Learning Algorithm on Gaussian Mixture with Automated Model Selection. Pattern Recognition Letters\u00a029(6), 701\u2013711 (2008)","journal-title":"Pattern Recognition Letters"},{"key":"67_CR11","unstructured":"Ma, J.: Automated Model Selection (AMS) on Finite Mixtures: A Theoretical Analysis. In: Proceedings of International Joint Conference on Neural Networks, Vancouver, Canada, pp. 8255\u20138261 (2006)"},{"issue":"12","key":"67_CR12","doi-asserted-by":"publisher","first-page":"2881","DOI":"10.1162\/089976600300014764","volume":"12","author":"J. Ma","year":"2000","unstructured":"Ma, J., Xu, L., Jordan, M.I.: Asymptotic Convergence Rate of the EM Algorithm for Gaussian Mixtures. Neural Computation\u00a012(12), 2881\u20132907 (2000)","journal-title":"Neural Computation"},{"key":"67_CR13","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/j.neucom.2004.12.009","volume":"68","author":"J. Ma","year":"2005","unstructured":"Ma, J., Xu, L.: Asymptotic Convergence Properties of the EM Algorithm with respect to the Overlap in the Mixture. Neurocomputing\u00a068, 105\u2013129 (2005)","journal-title":"Neurocomputing"},{"issue":"12","key":"67_CR14","doi-asserted-by":"publisher","first-page":"2602","DOI":"10.1016\/j.patcog.2005.03.010","volume":"38","author":"J. Ma","year":"2005","unstructured":"Ma, J., Fu, S.: On the Correct Convergence of the EM Algorithm for Gaussian Mixtures. Pattern Recognition\u00a038(12), 2602\u20132611 (2005)","journal-title":"Pattern Recognition"},{"key":"67_CR15","doi-asserted-by":"publisher","first-page":"1973","DOI":"10.1016\/S0031-3203(03)00059-1","volume":"36","author":"Z. Zhang","year":"2003","unstructured":"Zhang, Z., Chen, C., Sun, J., et al.: EM Algorithms for Gaussian Mixtures with Split-and-Merge Operation. Pattern Recogniton\u00a036, 1973\u20131983 (2003)","journal-title":"Pattern Recogniton"},{"issue":"2","key":"67_CR16","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1162\/089976603762553004","volume":"15","author":"J.J. Verbeek","year":"2003","unstructured":"Verbeek, J.J., Vlassis, N., Kr\u00f6se, B.: Efficient Greedy Learning of Gaussian Mixture Models. Neural Computation\u00a015(2), 469\u2013485 (2003)","journal-title":"Neural Computation"}],"container-title":["Lecture Notes in Computer Science","Advances in Neural Networks - ISNN 2008"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-87732-5_67.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T20:35:44Z","timestamp":1738355744000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-87732-5_67"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540877318","9783540877325"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-87732-5_67","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}