{"id":"https://openalex.org/W1528372917","doi":"https://doi.org/10.1007/3-540-46769-6_23","title":"On the Uniform Learnability of Approximations to Non-recursive Functions","display_name":"On the Uniform Learnability of Approximations to Non-recursive Functions","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1528372917","doi":"https://doi.org/10.1007/3-540-46769-6_23","mag":"1528372917"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46769-6_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46769-6_23","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":"book-chapter","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/A5085103227","display_name":"Frank Stephan","orcid":"https://orcid.org/0000-0001-9152-1706"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frank Stephan","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103715395","display_name":"Thomas Zeugmann","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Thomas Zeugmann","raw_affiliation_strings":["Department of Informatics, Kyushu University, Kasuga, 816-8580, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Kyushu University, Kasuga, 816-8580, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085103227"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7215,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68207654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"276","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998000264167786,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980000257492065,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9912999868392944,"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/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.8218050003051758},{"id":"https://openalex.org/keywords/learnability","display_name":"Learnability","score":0.7437742352485657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5517784357070923},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5357038378715515},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5311046242713928},{"id":"https://openalex.org/keywords/recursively-enumerable-set","display_name":"Recursively enumerable set","score":0.4818931221961975},{"id":"https://openalex.org/keywords/maximal-set","display_name":"Maximal set","score":0.444828063249588},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.4107622802257538},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.30587589740753174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26645347476005554},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13562175631523132}],"concepts":[{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.8218050003051758},{"id":"https://openalex.org/C2777723229","wikidata":"https://www.wikidata.org/wiki/Q4367921","display_name":"Learnability","level":2,"score":0.7437742352485657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5517784357070923},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5357038378715515},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5311046242713928},{"id":"https://openalex.org/C52703633","wikidata":"https://www.wikidata.org/wiki/Q676835","display_name":"Recursively enumerable set","level":3,"score":0.4818931221961975},{"id":"https://openalex.org/C188521023","wikidata":"https://www.wikidata.org/wiki/Q6795644","display_name":"Maximal set","level":3,"score":0.444828063249588},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.4107622802257538},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.30587589740753174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26645347476005554},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13562175631523132},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-46769-6_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46769-6_23","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:CiteSeerX.psu:10.1.1.103.7937","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.7937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-alg.ist.hokudai.ac.jp/~thomas/publications/alt99sz.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.1339","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.1339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.i.kyushu-u.ac.jp/~thomas/alt99sz.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W39475532","https://openalex.org/W39794149","https://openalex.org/W166170480","https://openalex.org/W587269134","https://openalex.org/W623765668","https://openalex.org/W1528372917","https://openalex.org/W1555748864","https://openalex.org/W1566121543","https://openalex.org/W1584157620","https://openalex.org/W1632759684","https://openalex.org/W1694825699","https://openalex.org/W1969005071","https://openalex.org/W1987581636","https://openalex.org/W1989026996","https://openalex.org/W1993397507","https://openalex.org/W1993931385","https://openalex.org/W1999116843","https://openalex.org/W1999498461","https://openalex.org/W2018722248","https://openalex.org/W2019001600","https://openalex.org/W2021538402","https://openalex.org/W2051688269","https://openalex.org/W2061079066","https://openalex.org/W2080219486","https://openalex.org/W2089442854","https://openalex.org/W2117832390","https://openalex.org/W2118936469","https://openalex.org/W2175731165","https://openalex.org/W2275773297","https://openalex.org/W2288285317","https://openalex.org/W2490884426","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4230725619","https://openalex.org/W4248153070","https://openalex.org/W6619767332","https://openalex.org/W6677023098"],"related_works":["https://openalex.org/W2037833610","https://openalex.org/W2135152748","https://openalex.org/W1972481159","https://openalex.org/W2069987267","https://openalex.org/W1973052363","https://openalex.org/W1980641386","https://openalex.org/W2112189052","https://openalex.org/W17676366","https://openalex.org/W1975592766","https://openalex.org/W2113442615"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}