{"id":"https://openalex.org/W69786881","doi":"https://doi.org/10.1007/978-3-642-40313-2_46","title":"Polynomial Threshold Functions and Boolean Threshold Circuits","display_name":"Polynomial Threshold Functions and Boolean Threshold Circuits","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W69786881","doi":"https://doi.org/10.1007/978-3-642-40313-2_46","mag":"69786881"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40313-2_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40313-2_46","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"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/A5055834958","display_name":"Kristoffer Arnsfelt Hansen","orcid":"https://orcid.org/0000-0002-1155-8072"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Kristoffer Arnsfelt Hansen","raw_affiliation_strings":["Aarhus University, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aarhus University, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038669776","display_name":"Vladimir V. Podolskii","orcid":"https://orcid.org/0000-0001-7154-138X"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir V. Podolskii","raw_affiliation_strings":["Steklov Mathematical Institute, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Russia","institution_ids":["https://openalex.org/I2801160905"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3617,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76167979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"516","last_page":"527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9991999864578247,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9977999925613403,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"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/computer-science","display_name":"Computer science","score":0.715398371219635},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.650197446346283},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5991970300674438},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5942286849021912},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4962635636329651},{"id":"https://openalex.org/keywords/circuit-minimization-for-boolean-functions","display_name":"Circuit minimization for Boolean functions","score":0.44553282856941223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4230201244354248},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34142637252807617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2061343789100647},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.17721658945083618}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.715398371219635},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.650197446346283},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5991970300674438},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5942286849021912},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4962635636329651},{"id":"https://openalex.org/C94992772","wikidata":"https://www.wikidata.org/wiki/Q6667469","display_name":"Circuit minimization for Boolean functions","level":4,"score":0.44553282856941223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4230201244354248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34142637252807617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2061343789100647},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.17721658945083618},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-40313-2_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40313-2_46","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.atira.dk:publications/ddbae900-eaff-4490-a4ab-12d35a8fcbfb","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/ddbae900-eaff-4490-a4ab-12d35a8fcbfb","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W24307859","https://openalex.org/W69786881","https://openalex.org/W341186930","https://openalex.org/W1484209132","https://openalex.org/W1515707347","https://openalex.org/W1517311456","https://openalex.org/W1609370892","https://openalex.org/W1973728061","https://openalex.org/W2000070319","https://openalex.org/W2008671796","https://openalex.org/W2027328186","https://openalex.org/W2038834641","https://openalex.org/W2061055380","https://openalex.org/W2062223744","https://openalex.org/W2080210666","https://openalex.org/W2084194126","https://openalex.org/W2086789740","https://openalex.org/W2091623775","https://openalex.org/W2097886040","https://openalex.org/W2107998050","https://openalex.org/W2110503949","https://openalex.org/W2114522915","https://openalex.org/W2117508909","https://openalex.org/W2117822564","https://openalex.org/W2128524323","https://openalex.org/W2143355494","https://openalex.org/W2145490171","https://openalex.org/W2146956300","https://openalex.org/W2147154704","https://openalex.org/W2150157290","https://openalex.org/W3037199498","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1976822807","https://openalex.org/W2031906996","https://openalex.org/W2724189404","https://openalex.org/W3204916073","https://openalex.org/W2021985366","https://openalex.org/W2486254595","https://openalex.org/W2728195892","https://openalex.org/W1501085929","https://openalex.org/W4211064314","https://openalex.org/W2156419323"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
