{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T14:34:27Z","timestamp":1759847667625},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2008,2,15]],"date-time":"2008-02-15T00:00:00Z","timestamp":1203033600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2008,8]]},"DOI":"10.1007\/s11590-007-0074-1","type":"journal-article","created":{"date-parts":[[2008,2,14]],"date-time":"2008-02-14T11:39:20Z","timestamp":1202989160000},"page":"483-495","source":"Crossref","is-referenced-by-count":7,"title":["Exact L 2-norm plane separation"],"prefix":"10.1007","volume":"2","author":[{"given":"Charles","family":"Audet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pierre","family":"Hansen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alejandro","family":"Karam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chi To","family":"Ng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sylvain","family":"Perron","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,2,15]]},"reference":[{"issue":"2","key":"74_CR1","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1287\/moor.8.2.273","volume":"8","author":"F. Al-Khayyal","year":"1983","unstructured":"Al-Khayyal F. and Falk J. (1983). Jointly constrained biconvex programming. Math. Oper. Res. 8(2): 273\u2013286","journal-title":"Math. Oper. Res."},{"issue":"1, Ser. A","key":"74_CR2","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s101079900106","volume":"87","author":"C. Audet","year":"2000","unstructured":"Audet C., Hansen P., Jaumard B. and Savard G. (2000). A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Program. 87(1, Ser. A): 131\u2013152","journal-title":"Math. Program."},{"issue":"1","key":"74_CR3","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1080\/10556789208805504","volume":"1","author":"K.P. Bennett","year":"1992","unstructured":"Bennett K.P. and Mangasarian O.L. (1992). Robust linear programming discrimination of two linearly inseparable sets. Optim. Methods Softw. 1(1): 23\u201334","journal-title":"Optim. Methods Softw."},{"key":"74_CR4","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1093\/imaman\/dpm014","volume":"18","author":"G. Caporossi","year":"2007","unstructured":"Caporossi G., Hansen P. and Karam A. (2007). Arbitrary-norm plane separation by variable neighborhood search. IMA J. Manag. Math. 18: 173\u2013189","journal-title":"IMA J. Manag. Math."},{"issue":"4","key":"74_CR5","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/0305-0548(89)90007-5","volume":"16","author":"T. Cavalier","year":"1989","unstructured":"Cavalier T., Ignizio J. and Soyster A. (1989). Discriminant analysis via mathematical programming: certain problems and their causes. Comput. Oper. Res. 16(4): 353\u2013362","journal-title":"Comput. Oper. Res."},{"key":"74_CR6","unstructured":"Christopher, J., Murphy, P.: UCI repository of machine learning databases (1998). http:\/\/www.ics.uci.edu\/~mlearn\/MLRepository.html"},{"key":"74_CR7","doi-asserted-by":"crossref","unstructured":"Desaulniers, G., Desrosiers, J., Solomon, M.: Accelerating strategies in column generation methods for vehicle routing and crew scheduling problems. In: Essays and surveys in metaheuristics (Angra dos Reis, 1999), Oper. Res. Comput. Sci. Interfaces Ser., pp. 309\u2013324. Kluwer Acad. Publ., Boston, MA (2002)","DOI":"10.1007\/978-1-4615-1507-4_14"},{"issue":"4","key":"74_CR8","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1023\/A:1008284015704","volume":"11","author":"J. Falk","year":"1997","unstructured":"Falk J. and Lopez-Cardona E. (1997). The surgical separation of sets. J. Global Optim. 11(4): 433\u2013462","journal-title":"J. Global Optim."},{"key":"74_CR9","unstructured":"Fung, G., Mangasarian, O.L.: Proximal support vector machine classifiers. In: Knowledge Discovery and Data Mining, pp. 77\u201386 (2001). http:\/\/citeseer.ist.psu.edu\/515368.html"},{"issue":"3","key":"74_CR10","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1057\/palgrave.jors.2601085","volume":"52","author":"J.J. Glen","year":"2001","unstructured":"Glen J.J. (2001). Classification accuracy in discriminant analysis: a mixed integer programming approach. J. Oper. Res. Soc. 52(3): 328\u2013339","journal-title":"J. Oper. Res. Soc."},{"issue":"2","key":"74_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0305-0548(01)00088-0","volume":"30","author":"J.J. Glen","year":"2003","unstructured":"Glen J.J. (2003). An iterative mixed integer programming method for classification accuracy maximizing discriminant analysis. Comput. Oper. Res. 30(2): 181\u2013198","journal-title":"Comput. Oper. Res."},{"issue":"2","key":"74_CR12","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1016\/j.ejor.2004.10.008","volume":"171","author":"J.J. Glen","year":"2006","unstructured":"Glen J.J. (2006). A comparison of standard and two-stage mathematical programming discriminant analysis methods. Eur. J. Oper. Res. 171(2): 496\u2013515","journal-title":"Eur. J. Oper. Res."},{"key":"74_CR13","doi-asserted-by":"crossref","unstructured":"Hansen, P., Brimberg, J., Uro\u0161evi\u0107, D., Mladenovi\u0107, N.: Primal-dual variable neighborhood search for bounded heuristic and exact solution of the simple plant location problem. INFORMS J. Comput. 19(4), 552\u2013564 (2007)","DOI":"10.1287\/ijoc.1060.0196"},{"key":"74_CR14","unstructured":"Karam, A.: Essays on linear discrimination. Ph.D. thesis, HEC Montr\u00e9al (2005)"},{"key":"74_CR15","unstructured":"Mangasarian, O.L., Musicant, D.: Active support vector machine classification. In: NIPS, pp. 577\u2013583 (2000). http:\/\/citeseer.ist.psu.edu\/mangasarian00active.html"},{"issue":"1\u20132","key":"74_CR16","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/S0167-6377(98)00049-2","volume":"24","author":"O.L. Mangasarian","year":"1999","unstructured":"Mangasarian O.L. (1999). Arbitrary-norm separating plane. Oper. Res. Lett. 24(1\u20132): 15\u201323","journal-title":"Oper. Res. Lett."},{"issue":"6","key":"74_CR17","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1016\/0305-0548(94)00042-7","volume":"26","author":"P. Marcotte","year":"1995","unstructured":"Marcotte P., Marquis G. and Savard G. (1995). A new implicit enumeration scheme for the discriminant analysis problem. Comput Oper Res 26(6): 625\u2013639","journal-title":"Comput Oper Res"},{"issue":"6","key":"74_CR18","first-page":"517","volume":"36","author":"P. Marcotte","year":"1992","unstructured":"Marcotte P. and Savard G. (1992). Novel approaches to the discrimination problem. Z. Oper. Res. 36(6): 517\u2013545","journal-title":"Z. Oper. Res."},{"issue":"1","key":"74_CR19","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1006\/jmaa.1997.5453","volume":"211","author":"E. Melachrinoudis","year":"1997","unstructured":"Melachrinoudis E. (1997). An analytical solution to the minimum L p -norm of a hyperplane. J. Math. Anal. Appl. 211(1): 172\u2013189","journal-title":"J. Math. Anal. Appl."},{"issue":"11","key":"74_CR20","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1016\/S0305-0548(97)00031-2","volume":"24","author":"N. Mladenovi\u0107","year":"1997","unstructured":"Mladenovi\u0107 N. and Hansen P. (1997). Variable neighborhood search. Comput. Oper. Res. 24(11): 1097\u20131100","journal-title":"Comput. Oper. Res."},{"key":"74_CR21","unstructured":"Musicant, D.: NDC: normally distributed clustered datasets (1998). http:\/\/www.cs.wisc.edu\/dmi\/svm\/ndc\/"},{"key":"74_CR22","unstructured":"Perron, S.: Applications jointes de l\u2019optimisation combinatoire et globale. Ph.D. thesis, \u00c9cole Polytechnique de Montr\u00e9al (2004)"},{"issue":"4","key":"74_CR23","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/BF00122429","volume":"2","author":"H. Sherali","year":"1992","unstructured":"Sherali H. and Alameddine A. (1992). A new reformulation-linearization technique for bilinear programming problems. J. Global Optim. 2(4): 379\u2013410","journal-title":"J. Global Optim."},{"issue":"1","key":"74_CR24","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF00121304","volume":"2","author":"H. Sherali","year":"1992","unstructured":"Sherali H. and Tuncbilek C. (1992). A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique. J. Global Optim. 2(1): 101\u2013112","journal-title":"J. Global Optim."},{"key":"74_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1018958001886","volume":"74","author":"A. Stam","year":"1997","unstructured":"Stam A. (1997). Nontraditional approaches to statistical classification: some perspectives on L p -norm methods. Ann. Oper. Res. 74: 1\u201336","journal-title":"Ann. Oper. Res."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-007-0074-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-007-0074-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-007-0074-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T15:15:02Z","timestamp":1559574902000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-007-0074-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2,15]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,8]]}},"alternative-id":["74"],"URL":"https:\/\/doi.org\/10.1007\/s11590-007-0074-1","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2,15]]}}}