{"id":"https://openalex.org/W2140194606","doi":"https://doi.org/10.1142/s0129065792000127","title":"EXACT CLASSIFICATION WITH TWO-LAYERED PERCEPTRONS","display_name":"EXACT CLASSIFICATION WITH TWO-LAYERED PERCEPTRONS","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2140194606","doi":"https://doi.org/10.1142/s0129065792000127","mag":"2140194606"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065792000127","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065792000127","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://pure.iiasa.ac.at/id/eprint/3649/1/WP-92-049.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040226983","display_name":"P.J. Zwietering","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"P.J. Zwietering","raw_affiliation_strings":["Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111412969","display_name":"Emile Aarts","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122849","display_name":"Philips (Netherlands)","ror":"https://ror.org/02p2bgp27","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210122849"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"E.H.L. Aarts","raw_affiliation_strings":["Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands","Philips Research Laboratories, P. O. Box 80.000, 5600 JA Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Philips Research Laboratories, P. O. Box 80.000, 5600 JA Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I4210122849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035695488","display_name":"J. Wessels","orcid":"https://orcid.org/0000-0002-5472-7921"},"institutions":[{"id":"https://openalex.org/I1317774081","display_name":"International Institute for Applied Systems Analysis","ror":"https://ror.org/02wfhk785","country_code":"AT","type":"funder","lineage":["https://openalex.org/I1317774081"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["AT","NL"],"is_corresponding":false,"raw_author_name":"J. Wessels","raw_affiliation_strings":["Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands","International Institute for Applied Systems Analysis, A-2361 Laxenburg, Austria"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"International Institute for Applied Systems Analysis, A-2361 Laxenburg, Austria","institution_ids":["https://openalex.org/I1317774081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040226983"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":1.1161,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83094244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"03","issue":"02","first_page":"143","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.9235511422157288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5869925022125244},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.4997446537017822},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.48108479380607605},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46346038579940796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4164079427719116},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37142714858055115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33958375453948975},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.32895222306251526},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.21600958704948425},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17686644196510315}],"concepts":[{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.9235511422157288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5869925022125244},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4997446537017822},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.48108479380607605},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46346038579940796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4164079427719116},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37142714858055115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33958375453948975},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.32895222306251526},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.21600958704948425},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17686644196510315},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1142/s0129065792000127","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065792000127","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Neural Systems","raw_type":"journal-article"},{"id":"pmh:oai:pure.iiasa.ac.at:3649","is_oa":true,"landing_page_url":null,"pdf_url":"http://pure.iiasa.ac.at/id/eprint/3649/1/WP-92-049.pdf","source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Monograph"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.934.3706","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.934.3706","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://alexandria.tue.nl/repository/books/380249.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:380249","is_oa":false,"landing_page_url":"http://repository.tue.nl/380249","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"External research report"},{"id":"pmh:oai:library.tue.nl:683307","is_oa":false,"landing_page_url":"http://repository.tue.nl/683307","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0129-0657","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/8483a74d-9160-4642-8afc-4eaf7c3f2d74","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/8483a74d-9160-4642-8afc-4eaf7c3f2d74","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zwietering, P J, Aarts, E H L & Wessels, J 1992, 'Exact classification with two-layered perceptrons', International Journal of Neural Systems, vol. 3, no. 2, pp. 143-156. https://doi.org/10.1142/S0129065792000127","raw_type":"article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/8483a74d-9160-4642-8afc-4eaf7c3f2d74","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/8483a74d-9160-4642-8afc-4eaf7c3f2d74","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Neural Systems, 3(2), 143 - 156. World Scientific","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.iiasa.ac.at:3649","is_oa":true,"landing_page_url":null,"pdf_url":"http://pure.iiasa.ac.at/id/eprint/3649/1/WP-92-049.pdf","source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Monograph"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2140194606.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1530109405","https://openalex.org/W1542594606","https://openalex.org/W1971735090","https://openalex.org/W2024633659","https://openalex.org/W2086789740","https://openalex.org/W2101927907","https://openalex.org/W2103496339","https://openalex.org/W2137983211","https://openalex.org/W2140859934","https://openalex.org/W2152088994","https://openalex.org/W2164348255","https://openalex.org/W2766736793"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2039864950","https://openalex.org/W2082756648","https://openalex.org/W4288279572","https://openalex.org/W2029404707","https://openalex.org/W2784911598","https://openalex.org/W4226058339","https://openalex.org/W4221156915"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,31,44,52,55,73,80,93,97],"capabilities":[3,56,74],"of":[4,43,47,57,65,75,83,95],"two-layered":[5,27,58,76],"perceptrons":[6,28,49,59,77],"for":[7,20,100],"classifying":[8],"exactly":[9,24],"a":[10,101],"given":[11,102],"subset.":[12,103],"Both":[13],"necessary":[14,36],"and":[15,50],"sufficient":[16,69],"conditions":[17,37,70],"are":[18,60],"derived":[19],"subsets":[21],"to":[22,92],"be":[23,39],"classifiable":[25],"with":[26],"that":[29,54,72],"use":[30],"hard-limiting":[32],"response":[33],"function.":[34],"The":[35,68],"can":[38],"viewed":[40],"as":[41],"generalizations":[42],"linear-separability":[45],"condition":[46,99],"one-layered":[48],"confirm":[51],"conjecture":[53],"more":[61],"limited":[62],"than":[63],"those":[64],"three-layered":[66],"perceptrons.":[67],"show":[71],"extend":[78],"beyond":[79],"exact":[81],"classification":[82],"convex":[84],"subsets.":[85],"Furthermore,":[86],"we":[87],"present":[88],"an":[89],"algorithmic":[90],"approach":[91],"problem":[94],"verifying":[96],"sufficiency":[98]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
