{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,18]],"date-time":"2025-05-18T05:41:53Z","timestamp":1747546913645},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Neur. Syst."],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:p> We study the capabilities of two-layered perceptrons for classifying exactly a given subset. Both necessary and sufficient conditions are derived for subsets to be exactly classifiable with two-layered perceptrons that use the hard-limiting response function. The necessary conditions can be viewed as generalizations of the linear-separability condition of one-layered perceptrons and confirm the conjecture that the capabilities of two-layered perceptrons are more limited than those of three-layered perceptrons. The sufficient conditions show that the capabilities of two-layered perceptrons extend beyond the exact classification of convex subsets. Furthermore, we present an algorithmic approach to the problem of verifying the sufficiency condition for a given subset. <\/jats:p>","DOI":"10.1142\/s0129065792000127","type":"journal-article","created":{"date-parts":[[2004,11,24]],"date-time":"2004-11-24T03:29:42Z","timestamp":1101266982000},"page":"143-156","source":"Crossref","is-referenced-by-count":7,"title":["EXACT CLASSIFICATION WITH TWO-LAYERED PERCEPTRONS"],"prefix":"10.1142","volume":"03","author":[{"given":"P.J.","family":"Zwietering","sequence":"first","affiliation":[{"name":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands"}]},{"given":"E.H.L.","family":"Aarts","sequence":"additional","affiliation":[{"name":"Philips Research Laboratories, P. O. Box 80.000, 5600 JA Eindhoven, The Netherlands"},{"name":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands"}]},{"given":"J.","family":"Wessels","sequence":"additional","affiliation":[{"name":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands"},{"name":"International Institute for Applied Systems Analysis, A-2361 Laxenburg, Austria"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["International Journal of Neural Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129065792000127","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:54:01Z","timestamp":1565142841000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129065792000127"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1142\/S0129065792000127"],"URL":"https:\/\/doi.org\/10.1142\/s0129065792000127","relation":{},"ISSN":["0129-0657","1793-6462"],"issn-type":[{"value":"0129-0657","type":"print"},{"value":"1793-6462","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}