{"id":"https://openalex.org/W20821090","doi":null,"title":"On Existential and Constructive Neural Complexity Results.","display_name":"On Existential and Constructive Neural Complexity Results.","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W20821090","mag":"20821090"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.9948","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9948","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.wsu.edu/~vbeiu/Publications/2003 NCI_a.pdf","raw_type":"text"},"volume":null,"type":"article","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/A5103819348","display_name":"Valeriu C. Beiu","orcid":"https://orcid.org/0000-0001-8185-956X","observed_orcids":["https://orcid.org/0000-0001-8185-956X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Valeriu Beiu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5103819348"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6938,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73696798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"63","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9603999853134155,"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":0.9603999853134155,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.029999999329447746,"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/T11567","display_name":"semigroups and automata theory","score":0.002099999925121665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/neural-complexity","display_name":"neural complexity","score":0.6620000004768372},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"circuit complexity","score":0.9710000157356262},{"id":"https://openalex.org/keywords/perceptron","display_name":"perceptron","score":0.9340000152587891},{"id":"https://openalex.org/keywords/threshold-logic","display_name":"threshold logic","score":0.9660000205039978},{"id":"https://openalex.org/keywords/constructive-neural-networks","display_name":"constructive neural networks","score":0.6589999794960022},{"id":"https://openalex.org/keywords/binary-addition","display_name":"binary addition","score":0.8320000171661377}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7945760488510132},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.6914255619049072},{"id":"https://openalex.org/C127882523","wikidata":"https://www.wikidata.org/wiki/Q38066","display_name":"Existentialism","level":2,"score":0.6498991250991821},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5650196075439453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5588283538818359},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5389477014541626},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47689417004585266},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42890065908432007},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34604477882385254},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.32018744945526123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3022018074989319},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.22212597727775574},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1908656656742096},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.1488584280014038},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12881553173065186},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11145225167274475},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.9948","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9948","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.wsu.edu/~vbeiu/Publications/2003 NCI_a.pdf","raw_type":"text"},{"id":"mag:20821090","doi":null,"is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/nci/nci2003.html#Beiu03","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"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":114,"referenced_works":["https://openalex.org/W2426121","https://openalex.org/W31021146","https://openalex.org/W49802742","https://openalex.org/W74751774","https://openalex.org/W108503560","https://openalex.org/W145168398","https://openalex.org/W171386555","https://openalex.org/W192659748","https://openalex.org/W641920026","https://openalex.org/W645277824","https://openalex.org/W1481464119","https://openalex.org/W1490722193","https://openalex.org/W1491596324","https://openalex.org/W1492032711","https://openalex.org/W1517585663","https://openalex.org/W1533087874","https://openalex.org/W1556207645","https://openalex.org/W1599503238","https://openalex.org/W1609370892","https://openalex.org/W1649899421","https://openalex.org/W1659104947","https://openalex.org/W1798698713","https://openalex.org/W1801334096","https://openalex.org/W1963965124","https://openalex.org/W1966686029","https://openalex.org/W1970299638","https://openalex.org/W1971635676","https://openalex.org/W1981703098","https://openalex.org/W1989969588","https://openalex.org/W1990284858","https://openalex.org/W1995341919","https://openalex.org/W2003519998","https://openalex.org/W2005154915","https://openalex.org/W2009994177","https://openalex.org/W2014593388","https://openalex.org/W2014850486","https://openalex.org/W2019683710","https://openalex.org/W2031414318","https://openalex.org/W2040870580","https://openalex.org/W2045924252","https://openalex.org/W2048268844","https://openalex.org/W2055350589","https://openalex.org/W2063721518","https://openalex.org/W2068031997","https://openalex.org/W2068934132","https://openalex.org/W2070678975","https://openalex.org/W2071732851","https://openalex.org/W2080210666","https://openalex.org/W2080495122","https://openalex.org/W2081411433","https://openalex.org/W2088543905","https://openalex.org/W2093583782","https://openalex.org/W2095280055","https://openalex.org/W2095969291","https://openalex.org/W2097575812","https://openalex.org/W2097886040","https://openalex.org/W2098730982","https://openalex.org/W2101587888","https://openalex.org/W2102628903","https://openalex.org/W2103676795","https://openalex.org/W2104040492","https://openalex.org/W2104559177","https://openalex.org/W2104733895","https://openalex.org/W2110715393","https://openalex.org/W2112016429","https://openalex.org/W2113364322","https://openalex.org/W2114527013","https://openalex.org/W2116794057","https://openalex.org/W2117508909","https://openalex.org/W2118329107","https://openalex.org/W2119047456","https://openalex.org/W2121162530","https://openalex.org/W2125117969","https://openalex.org/W2125407410","https://openalex.org/W2127265436","https://openalex.org/W2127278788","https://openalex.org/W2128725931","https://openalex.org/W2132153781","https://openalex.org/W2132277916","https://openalex.org/W2135868795","https://openalex.org/W2138772319","https://openalex.org/W2139224092","https://openalex.org/W2140772796","https://openalex.org/W2141469882","https://openalex.org/W2141823815","https://openalex.org/W2143462372","https://openalex.org/W2147686711","https://openalex.org/W2147786227","https://openalex.org/W2150865600","https://openalex.org/W2155296713","https://openalex.org/W2163904244","https://openalex.org/W2165293955","https://openalex.org/W2167677193","https://openalex.org/W2168434510","https://openalex.org/W2168543008","https://openalex.org/W2172067349","https://openalex.org/W2204499251","https://openalex.org/W2210116895","https://openalex.org/W2245590372","https://openalex.org/W2248339099","https://openalex.org/W2259527436","https://openalex.org/W2260087020","https://openalex.org/W2274958629","https://openalex.org/W2295866677","https://openalex.org/W2417597792","https://openalex.org/W2496493191","https://openalex.org/W2519518401","https://openalex.org/W2522261854","https://openalex.org/W2525210941","https://openalex.org/W2567719461","https://openalex.org/W2611927745","https://openalex.org/W2912742828","https://openalex.org/W2970333976","https://openalex.org/W4241288664"],"related_works":["https://openalex.org/W1904242537","https://openalex.org/W2912742828","https://openalex.org/W2278692326","https://openalex.org/W2100289869","https://openalex.org/W201848300","https://openalex.org/W2148888011","https://openalex.org/W165737184","https://openalex.org/W2402056230","https://openalex.org/W1980225871","https://openalex.org/W1763914265"],"abstract_inverted_index":{"In":[0,14],"this":[1],"paper":[2],"we":[3,18],"will":[4,19],"review":[5],"major":[6],"circuit":[7,54],"complexity":[8],"results":[9],"for":[10,38],"networks":[11],"of":[12,46],"perceptrons.":[13],"the":[15,25,44],"first":[16],"part":[17,27],"present":[20],"many":[21],"theoretical":[22],"results,":[23],"while":[24],"second":[26],"is":[28],"much":[29],"more":[30],"practical,":[31],"as":[32],"comparing":[33],"nine":[34],"different":[35],"constructive":[36],"solutions":[37],"a":[39],"particular":[40],"but":[41],"important":[42],"case:":[43],"addition":[45],"two":[47],"binary":[48],"numbers.":[49],"KEY":[50],"WORDS":[51],"Neural":[52],"/":[53],"complexity,":[55],"perceptrons,":[56],"threshold":[57],"logic,":[58],"addition.":[59],"1.":[60]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
