{"id":"https://openalex.org/W1545761782","doi":"https://doi.org/10.1007/3-540-60084-1_105","title":"Measure, category and learning theory","display_name":"Measure, category and learning theory","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1545761782","doi":"https://doi.org/10.1007/3-540-60084-1_105","mag":"1545761782"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-60084-1_105","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60084-1_105","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/A5075191567","display_name":"Lance Fortnow","orcid":"https://orcid.org/0000-0002-2020-1358"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lance Fortnow","raw_affiliation_strings":["Department of Computer Science, University of Chicago, 1100 E. 58th St., 60637, Chicago, IL, USA","University-of Chicago"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Chicago, 1100 E. 58th St., 60637, Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"University-of Chicago","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017606989","display_name":"R\u016bsi\u0146\u0161 Freivalds","orcid":"https://orcid.org/0000-0001-6192-3843"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"R\u016asi\u0146\u0161 Freivalds","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Rai\u0146a bulv\u0101ris 29, LV-1459, Riga, Latvia","Univ. of Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Rai\u0146a bulv\u0101ris 29, LV-1459, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]},{"raw_affiliation_string":"Univ. of Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089274175","display_name":"William Gasarch","orcid":"https://orcid.org/0000-0003-3698-5991"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William I. Gasarch","raw_affiliation_strings":["Department of Computer Science, University of Maryland, 20742, College Park, MD, USA","University of Maryland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland, 20742, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"University of Maryland","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111440737","display_name":"Martin Kummer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]},{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Kummer","raw_affiliation_strings":["Institut f\u00fcr Logik, Komplexit\u00c4t und Deduktionssysteme, Universit\u00c4t Karlsruhe, 76128, Karlsruhe, Germany","Universit\u00e4t Karlsruhe,"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Logik, Komplexit\u00c4t und Deduktionssysteme, Universit\u00c4t Karlsruhe, 76128, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110056727","display_name":"Stuart A. Kurtz","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stuart A. Kurtz","raw_affiliation_strings":["Department of Computer Science, University of Chicago, 1100 E. 58th St., 60637, Chicago, IL, USA","University-of Chicago"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Chicago, 1100 E. 58th St., 60637, Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"University-of Chicago","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043135669","display_name":"Carl H. Smith","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carl Smith","raw_affiliation_strings":["Department of Computer Science, University of Maryland, 20742, College Park, MD, USA","University of Maryland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland, 20742, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"University of Maryland","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085103227","display_name":"Frank Stephan","orcid":"https://orcid.org/0000-0001-9152-1706"},"institutions":[{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]},{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Stephan","raw_affiliation_strings":["Institut f\u00fcr Logik, Komplexit\u00c4t und Deduktionssysteme, Universit\u00c4t Karlsruhe, 76128, Karlsruhe, Germany","Universit\u00e4t Karlsruhe,"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Logik, Komplexit\u00c4t und Deduktionssysteme, Universit\u00c4t Karlsruhe, 76128, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5075191567"],"corresponding_institution_ids":["https://openalex.org/I40347166"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8606,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83333333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"558","last_page":"569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9966999888420105,"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":0.9814000129699707,"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/learnability","display_name":"Learnability","score":0.8846348524093628},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.8126336336135864},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.8054797053337097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.756881058216095},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.540585458278656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4694499671459198},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3459157347679138},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30872344970703125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2468140423297882},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1547667384147644},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10737445950508118}],"concepts":[{"id":"https://openalex.org/C2777723229","wikidata":"https://www.wikidata.org/wiki/Q4367921","display_name":"Learnability","level":2,"score":0.8846348524093628},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8126336336135864},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8054797053337097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.756881058216095},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.540585458278656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4694499671459198},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3459157347679138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30872344970703125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2468140423297882},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1547667384147644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10737445950508118}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-60084-1_105","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60084-1_105","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:10.1.1.27.8046","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.8046","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uchicago.edu/files/pubs/TR-95-01.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W245191144","https://openalex.org/W654727740","https://openalex.org/W1579083493","https://openalex.org/W1588252102","https://openalex.org/W1969005071","https://openalex.org/W1969335312","https://openalex.org/W1993931385","https://openalex.org/W2004542545","https://openalex.org/W2017636732","https://openalex.org/W2018722248","https://openalex.org/W2024794788","https://openalex.org/W2025962687","https://openalex.org/W2025980794","https://openalex.org/W2041709321","https://openalex.org/W2052493080","https://openalex.org/W2061079066","https://openalex.org/W2063688469","https://openalex.org/W2067619284","https://openalex.org/W2075242512","https://openalex.org/W2088822114","https://openalex.org/W2133552552","https://openalex.org/W2150960963","https://openalex.org/W2176419554","https://openalex.org/W2478540931","https://openalex.org/W2504846205","https://openalex.org/W2586245735","https://openalex.org/W4232689868","https://openalex.org/W4237563359","https://openalex.org/W4250264706","https://openalex.org/W6621659564","https://openalex.org/W6634602790","https://openalex.org/W6651376662"],"related_works":["https://openalex.org/W4302791369","https://openalex.org/W2951285859","https://openalex.org/W2766040214","https://openalex.org/W72092541","https://openalex.org/W37360785","https://openalex.org/W1973394166","https://openalex.org/W180475243","https://openalex.org/W2098466205","https://openalex.org/W1966604104","https://openalex.org/W1649482245"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
