{"id":"https://openalex.org/W45198419","doi":null,"title":"From a new way to show the universality of a two-layer perceptron to a new approach to digital design","display_name":"From a new way to show the universality of a two-layer perceptron to a new approach to digital design","publication_year":2006,"publication_date":"2006-02-15","ids":{"openalex":"https://openalex.org/W45198419","mag":"45198419"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.528.6062","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.528.6062","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wseas.us/e-library/conferences/2006madrid/papers/512-261.pdf","raw_type":"text"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071759445","display_name":"Jos\u00e9 Barahona da Fonseca","orcid":"https://orcid.org/0000-0003-0278-5334","observed_orcids":["https://orcid.org/0000-0003-0278-5334"]},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I83558840","display_name":"Universidade Nova de Lisboa","ror":"https://ror.org/02xankh89","country_code":"PT","type":"education","lineage":["https://openalex.org/I83558840"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Barahona da Fonseca","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, New University of Lisbon, Caparica, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-0278-5334","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, New University of Lisbon, Caparica, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I83558840"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071759445"],"corresponding_institution_ids":["https://openalex.org/I141596103","https://openalex.org/I83558840"],"apc_list":null,"apc_paid":null,"fwci":0.2483,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.37964662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"64","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9965999722480774,"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":0.9965999722480774,"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/T11567","display_name":"semigroups and automata theory","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12676","display_name":"Machine Learning and ELM","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/two-layer-perceptron","display_name":"two-layer perceptron","score":0.968999981880188},{"id":"https://openalex.org/keywords/universality","display_name":"universality","score":0.5920000076293945},{"id":"https://openalex.org/keywords/perceptron-learning-rule","display_name":"perceptron learning rule","score":0.8379999995231628},{"id":"https://openalex.org/keywords/linear-separability","display_name":"linear separability","score":0.9539999961853027},{"id":"https://openalex.org/keywords/threshold-elements","display_name":"threshold elements","score":0.6420000195503235},{"id":"https://openalex.org/keywords/logic-design","display_name":"digital circuit design","score":0.6439999938011169}],"concepts":[{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.9327275156974792},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.5987716317176819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5700061917304993},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5691615343093872},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4654460847377777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4649224579334259},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4321069121360779},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3613225221633911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33572274446487427},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2865452170372009},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.528.6062","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.528.6062","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wseas.us/e-library/conferences/2006madrid/papers/512-261.pdf","raw_type":"text"},{"id":"mag:45198419","doi":null,"is_oa":false,"landing_page_url":"https://www.researchgate.net/profile/Jose_Fonseca16/publication/237582753_From_a_New_Way_to_Show_the_Universality_of_a_Two-Layer_Perceptron_to_a_New_Approach_to_Digital_Design/links/53f1d6830cf2711e0c4606f8.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419417","display_name":"International Conference on Electronics, Hardware, Wireless and Optical Communications","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Conference on Electronics, Hardware, Wireless and Optical Communications","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1480943518","https://openalex.org/W1481854140","https://openalex.org/W1492216757","https://openalex.org/W1505888673","https://openalex.org/W1609370892","https://openalex.org/W1624125190","https://openalex.org/W1943775992","https://openalex.org/W1975092632","https://openalex.org/W2006163927","https://openalex.org/W2018212615","https://openalex.org/W2040870580","https://openalex.org/W2062887401","https://openalex.org/W2068701221","https://openalex.org/W2084081789","https://openalex.org/W2109384219","https://openalex.org/W2111903511","https://openalex.org/W2122564745","https://openalex.org/W2128703045","https://openalex.org/W2134063109","https://openalex.org/W2138622049","https://openalex.org/W2150690754","https://openalex.org/W2157222322","https://openalex.org/W2322002063","https://openalex.org/W4237060324"],"related_works":["https://openalex.org/W3011654750","https://openalex.org/W2127378410","https://openalex.org/W7096204129","https://openalex.org/W1964789858","https://openalex.org/W2065834654","https://openalex.org/W2119085096","https://openalex.org/W2119230481","https://openalex.org/W2088798842","https://openalex.org/W4230275764","https://openalex.org/W2012903341"],"abstract_inverted_index":{"Abstract:-":[0],"We":[1,14,165],"show":[2,15],"in":[3,96,156],"a":[4,10,48,55,78,163,168,183,192,206,212],"constructive":[5],"way":[6,42],"the":[7,32,36,65,69,97,100,107,116,125,132,147,157,160,175,197,223,227,241,256],"universality":[8],"of":[9,21,34,67,71,118,159,162,170,187,194,196,199,230,239,250,258,267,269],"two":[11,56,88],"layer":[12,57],"perceptron.":[13,40],"how":[16,29,113],"to":[17,30,46,76,85,87,114,123,204,221],"build":[18,31],"any":[19,22],"minterm":[20],"logical":[23,49,80,101,108,126,133,173,224],"function":[24,50,102,109,134,174,209,225],"with":[25,38,51,54,59,146,226],"one":[26,143],"perceptron":[27,58,144],"and":[28,214,235,260,262],"OR":[33],"all":[35,219,238,248,265],"minterms":[37,53,251],"another":[39],"This":[41],"it":[43,138],"is":[44,110,135],"possible":[45],"implement":[47,77,124,205,222],"N":[52],"N+1":[60],"perceptrons.":[61],"Next":[62],"we":[63,83,129,210,253],"addres":[64],"question":[66],"minimizing":[68],"number":[70,117,186,198,229,257],"perceptrons":[72,119,200,231,259],"or":[73,120,189,201,232],"threshold":[74,121,202,233],"elements":[75,122,203],"given":[79],"function.":[81],"Here":[82],"have":[84,92],"answer":[86],"open":[89],"questions":[90],"that":[91,131,153,217],"not":[93,180,245],"yet":[94],"answered":[95],"literature:1)":[98],"Is":[99],"linearly":[103,111,136,171,207],"separable?":[104],"2)":[105],"If":[106,128],"non-separable":[112,172,208],"minimize":[115],"function?":[127],"know":[130],"separable":[137],"can":[139],"be":[140],"implemented":[141],"by":[142],"trained":[145],"Rosenblatt\u2019s":[148],"Perceptron":[149,176],"Learning":[150,177],"Rule":[151,178],"[1]-[2]":[152],"guarantees":[154],"convergence":[155],"case":[158],"existence":[161],"solution.":[164],"propose":[166,211],"as":[167],"test":[169,263],"did":[179,244],"converge":[181,246],"after":[182],"very":[184],"great":[185],"epochs":[188],"iterations.":[190],"As":[191],"method":[193],"minimization":[195],"trial":[213],"error":[215],"procedure":[216],"generates":[218],"manners":[220,266],"mnimum":[228],"elements,":[234],"if":[236],"for":[237,247],"them":[240],"learning":[242],"rule":[243],"associations":[249],"then":[252],"must":[254],"increment":[255],"generate":[261],"again":[264],"implementation":[268]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
