{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T12:04:35Z","timestamp":1773317075324,"version":"3.50.1"},"reference-count":20,"publisher":"Elsevier BV","issue":"1-4","license":[{"start":{"date-parts":[[2002,8,1]],"date-time":"2002-08-01T00:00:00Z","timestamp":1028160000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2002,8]]},"DOI":"10.1016\/s0925-2312(01)00587-2","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T18:35:05Z","timestamp":1034274905000},"page":"161-188","source":"Crossref","is-referenced-by-count":16,"title":["New methods for testing linear separability"],"prefix":"10.1016","volume":"47","author":[{"given":"M.","family":"Tajine","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"Elizondo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0925-2312(01)00587-2_BIB1","series-title":"Design and Analysis of Computer Algorithm","author":"Aho","year":"1974"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB2","series-title":"Linear Programming and Network Flow","author":"Bazaraa","year":"1977"},{"issue":"5","key":"10.1016\/S0925-2312(01)00587-2_BIB3","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1109\/72.248455","article-title":"Neural network design using Voronoi disgrams","volume":"4","author":"Bose","year":"1993","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB4","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1090\/S0002-9939-1957-0088748-7","article-title":"A generalization of Helly's theorem","volume":"8","author":"De Santis","year":"1957","journal-title":"Proc. Math. Soc."},{"key":"10.1016\/S0925-2312(01)00587-2_BIB5","series-title":"Advances in Neural Information Processing Systems, Vol. 2","first-page":"524","article-title":"The cascade correlation architecture","author":"Fahlman","year":"1990"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB6","unstructured":"F. Fogelman, E. Viennet, B. Lamy, Multi-modular neural netwoprk architectures: applications in optical character and human face recognition, Internat. J. Pattern Recognition Artif. Intell. 7(4) 2 (1993) 721\u2013755."},{"issue":"2","key":"10.1016\/S0925-2312(01)00587-2_BIB7","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1109\/72.80230","article-title":"Perceptron-based learning algorithms","volume":"1","author":"Gallant","year":"1990","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB8","series-title":"Computer and Intractability a Guide to the Theory of NP-Completeness","author":"Garey","year":"1979"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB9","first-page":"175","article-title":"\u00dcber Mengen konvexer K\u00f6rper mit gemeinschaftlichen Punkten","volume":"32","author":"Helly","year":"1923","journal-title":"Jber. Deutsch. Math. Verein."},{"key":"10.1016\/S0925-2312(01)00587-2_BIB10","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0304-3975(78)90006-3","article-title":"The densest hemisphere problem","volume":"6","author":"Johnson","year":"1978","journal-title":"Theoret. Comput. Sci."},{"issue":"1","key":"10.1016\/S0925-2312(01)00587-2_BIB11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1109\/72.363432","article-title":"The geometrical learning of binary neural networks","volume":"6","author":"Kim","year":"1995","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB12","doi-asserted-by":"crossref","first-page":"217","DOI":"10.2307\/2310345","article-title":"Solvability and consistency for linear equations and inequalities","volume":"63","author":"Kuhn","year":"1956","journal-title":"Amer. Math. Monthly"},{"issue":"2","key":"10.1016\/S0925-2312(01)00587-2_BIB13","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/MASSP.1987.1165576","article-title":"An introduction to computing with neural network","volume":"4","author":"Lippman","year":"1987","journal-title":"IEEE ASSP Mag."},{"key":"10.1016\/S0925-2312(01)00587-2_BIB14","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/BF02478259","article-title":"A logical calculus of the ideas imminent in nervous activity","volume":"5","author":"McCulloch","year":"1943","journal-title":"Bull. Math. Biophys."},{"key":"10.1016\/S0925-2312(01)00587-2_BIB15","series-title":"Perceptrons","author":"Minsky","year":"1969"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB16","series-title":"Computational Geometry, An Introduction","author":"Preparata","year":"1985"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB17","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/BF00116251","article-title":"Induction of decision trees","volume":"1","author":"Quinlan","year":"1986","journal-title":"Machine Learning"},{"issue":"2","key":"10.1016\/S0925-2312(01)00587-2_BIB18","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1109\/72.363468","article-title":"Classification of lineraly nonseparable patterns by linear threshold elements","volume":"6","author":"Rochowdhunry","year":"1995","journal-title":"Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB19","series-title":"Principles of Neurodynamics","author":"Rosenblatt","year":"1962"},{"key":"10.1016\/S0925-2312(01)00587-2_BIB20","series-title":"Convexity and Optimization in Finite Dimensions I","author":"Stoer","year":"1970"}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231201005872?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231201005872?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T15:23:46Z","timestamp":1555169026000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231201005872"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,8]]},"references-count":20,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2002,8]]}},"alternative-id":["S0925231201005872"],"URL":"https:\/\/doi.org\/10.1016\/s0925-2312(01)00587-2","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2002,8]]}}}