{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T03:32:58Z","timestamp":1743132778916,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":27,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387747583"},{"type":"electronic","value":"9780387747590"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-0-387-74759-0_460","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:11:28Z","timestamp":1219662688000},"page":"2664-2671","source":"Crossref","is-referenced-by-count":0,"title":["Nonsmooth Optimization Approach to Clustering"],"prefix":"10.1007","author":[{"given":"Adil","family":"Bagirov","sequence":"first","affiliation":[]}],"member":"297","reference":[{"issue":"9","key":"460_CR1_460","doi-asserted-by":"crossref","first-page":"1443","DOI":"10.1016\/0031-3203(95)00022-R","volume":"28","author":"KS Al-Sultan","year":"1995","unstructured":"Al-Sultan KS (1995) A\u00a0tabu search approach to the clustering problem. Pattern Recognit 28(9):1443\u20131451","journal-title":"Pattern Recognit"},{"key":"460_CR2_460","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/0167-8655(95)00122-0","volume":"17","author":"KS Al-Sultan","year":"1996","unstructured":"Al-Sultan KS, Khan MM (1996) Computational experience on four algorithms for the hard clustering problem. Pattern Recognit Lett 17:295\u2013308","journal-title":"Pattern Recognit Lett"},{"key":"460_CR3_460","doi-asserted-by":"crossref","unstructured":"Bagirov AM (1999) Minimization methods for one class of nonsmooth functions and\n\t  calculation of semi-equilibrium prices. In: Eberhard A\u00a0et al (eds) Progress in Optimization: Contribution from Australasia. Kluwer, Dordrecht, pp 147\u2013175","DOI":"10.1007\/978-1-4613-3285-5_8"},{"issue":"1","key":"460_CR4_460","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1080\/10556780290027837","volume":"17","author":"AM Bagirov","year":"2002","unstructured":"Bagirov AM (2002) A\u00a0method for minimization of quasidifferentiable functions. Optim Method Softw 17(1):31\u201360","journal-title":"Optim Method Softw"},{"issue":"5","key":"460_CR5_460","doi-asserted-by":"crossref","first-page":"2567","DOI":"10.1023\/A:1023227716953","volume":"115","author":"AM Bagirov","year":"2003","unstructured":"Bagirov AM (2003) Continuous subdifferential approximations and their applications. J\u00a0Math Sci 115(5):2567\u20132609","journal-title":"J Math Sci"},{"key":"460_CR6_460","unstructured":"Bagirov AM, Mardaneh K (2006) Modified global k-means algorithm for clustering in gene expression data sets. In: Proceedings of the 2006 Workshop on Intelligent Systems for Bioinformatics, Hobart, Australia, 4 Dec 2006, pp 23\u201328"},{"key":"460_CR7_460","first-page":"65","volume":"22","author":"AM Bagirov","year":"2001","unstructured":"Bagirov AM, Rubinov AM, Yearwood J (2001) Using global optimization to improve classification for medical diagnosis and prognosis. Top Heal Inf Manag 22:65\u201374","journal-title":"Top Heal Inf Manag"},{"key":"460_CR8_460","first-page":"65","volume":"22","author":"AM Bagirov","year":"2001","unstructured":"Bagirov AM, Rubinov AM, Yearwood J (2001) Global optimization approach to classification. Optim Eng 22:65\u201374","journal-title":"Optim Eng"},{"issue":"2","key":"460_CR9_460","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s10898-005-3834-4","volume":"35","author":"AM Bagirov","year":"2006","unstructured":"Bagirov AM, Ugon J (2006) Piecewise partially separable functions and a\u00a0derivative-free method for large-scale nonsmooth optimization. J\u00a0Glob Optim 35(2):163\u2013195","journal-title":"J Glob Optim"},{"issue":"4\u20135","key":"460_CR10_460","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1080\/02331930500096155","volume":"54","author":"AM Bagirov","year":"2005","unstructured":"Bagirov AM, Ugon J (2005) An algorithm for minimizing clustering functions. Optimization 54(4\u20135):351\u2013368","journal-title":"Optimization"},{"issue":"2","key":"460_CR11_460","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1016\/j.ejor.2004.06.014","volume":"170","author":"AM Bagirov","year":"2006","unstructured":"Bagirov AM, Yearwood J (2006) A\u00a0new nonsmooth optimisation algorithm for minimum sum-of-squares clustering problems. Eur J Oper Res 170(2):578\u2013596","journal-title":"Eur J Oper Res"},{"key":"460_CR12_460","volume-title":"Automatische Klassifikation","author":"HH Bock","year":"1974","unstructured":"Bock HH (1974) Automatische Klassifikation. Vandenhoeck & Ruprecht, G\u00f6ttingen"},{"key":"460_CR13_460","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/0031-3203(92)90088-Z","volume":"25","author":"DE Brown","year":"1992","unstructured":"Brown DE, Entail CL (1992) A\u00a0practical application of simulated annealing to the clustering problem. Pattern Recognit 25:401\u2013412","journal-title":"Pattern Recognit"},{"key":"460_CR14_460","volume-title":"Optimization and Nonsmooth Analysis","author":"FH Clarke","year":"1983","unstructured":"Clarke FH (1983) Optimization and Nonsmooth Analysis. Wiley, New York"},{"key":"460_CR15_460","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0031-3203(76)90045-5","volume":"8","author":"R Dubes","year":"1976","unstructured":"Dubes R, Jain AK (1976) Clustering techniques: the user's dilemma. Pattern Recognit 8:247\u2013260","journal-title":"Pattern Recognit"},{"issue":"1\u20133","key":"460_CR16_460","first-page":"191","volume":"79","author":"P Hansen","year":"1997","unstructured":"Hansen P, Jaumard B (1997) Cluster analysis and mathematical programming. Math Program 79(1\u20133):191\u2013215","journal-title":"Math Program"},{"key":"460_CR17_460","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/S0031-3203(99)00216-2","volume":"4","author":"P Hansen","year":"2001","unstructured":"Hansen P, Mladenovic N (2001) J-means: a\u00a0new heuristic for minimum sum-of-squares clustering. Pattern Recognit 4:405\u2013413","journal-title":"Pattern Recognit"},{"key":"460_CR18_460","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1023\/A:1011336210885","volume":"7","author":"P Hansen","year":"2001","unstructured":"Hansen P, Mladenovic N (2001) Variable neighborhood decomposition search. J\u00a0Heuristic 7:335\u2013350","journal-title":"J Heuristic"},{"key":"460_CR19_460","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/s00357-005-0018-3","volume":"22","author":"P Hansen","year":"2005","unstructured":"Hansen P, Ngai E, Cheung BK, Mladenovic N (2005) Analysis of global k-means, an incremental heuristic for minimum sum-of-squares clustering. J\u00a0Classif 22:287\u2013310","journal-title":"J Classif"},{"key":"460_CR20_460","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511897375","volume-title":"Topics in Applied Multivariate Analysis","author":"DM Houkins","year":"1982","unstructured":"Houkins DM, Muller MW, ten Krooden JA (1982) Cluster analysis. In: Topics in Applied Multivariate Analysis. Cambridge University Press, Cambridge"},{"issue":"3","key":"460_CR21_460","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1145\/331499.331504","volume":"31","author":"AK Jain","year":"1999","unstructured":"Jain AK, Murty MN, Flynn PJ (1999) Data clustering: a\u00a0review. ACM Comput Surv 31(3):264\u2013323","journal-title":"ACM Comput Surv"},{"key":"460_CR22_460","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/S0031-3203(02)00060-2","volume":"36","author":"A Likas","year":"2003","unstructured":"Likas A, Vlassis M, Verbeek J (2003) The global k-means clustering algorithm. Pattern Recognit 36:451\u2013461","journal-title":"Pattern Recognit"},{"volume-title":"Modern Heuristic Techniques for Combinatorial Problems","year":"1993","key":"460_CR23_460","unstructured":"Reeves CR (ed) (1993) Modern Heuristic Techniques for Combinatorial Problems. Blackwell, London"},{"key":"460_CR24_460","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1109\/TPAMI.1984.4767478","volume":"6","author":"SZ Selim","year":"1984","unstructured":"Selim SZ, Ismail MA (1984) K-means-type algorithm: generalized convergence theorem and characterization of local optimality. IEEE Trans Pattern Anal Mach Intell 6:81\u201387","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"10","key":"460_CR25_460","doi-asserted-by":"crossref","first-page":"1003","DOI":"10.1016\/0031-3203(91)90097-O","volume":"24","author":"SZ Selim","year":"1991","unstructured":"Selim SZ, Al-Sultan KS (1991) A\u00a0simulated annealing algorithm for the clustering. Pattern Recognit 24(10):1003\u20131008","journal-title":"Pattern Recognit"},{"key":"460_CR26_460","volume-title":"Cluster Analysis Algorithms","author":"H Spath","year":"1980","unstructured":"Spath H (1980) Cluster Analysis Algorithms. Ellis Horwood Limited, Chichester"},{"key":"460_CR27_460","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0097-8485(94)85003-8","volume":"18","author":"LX Sun","year":"1994","unstructured":"Sun LX, Xie YL, Song XH, Wang JH, Yu RQ (1994)  Cluster analysis by simulated annealing. Comput Chem 18:103\u2013108","journal-title":"Comput Chem"}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_460","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T10:01:06Z","timestamp":1720692066000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-74759-0_460"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-74759-0_460","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}