{"id":"https://openalex.org/W2070705993","doi":"https://doi.org/10.1007/pl00013834","title":"PAC Learning Intersections of Halfspaces with Membership Queries","display_name":"PAC Learning Intersections of Halfspaces with Membership Queries","publication_year":1998,"publication_date":"1998-09-01","ids":{"openalex":"https://openalex.org/W2070705993","doi":"https://doi.org/10.1007/pl00013834","mag":"2070705993"},"language":"en","primary_location":{"id":"doi:10.1007/pl00013834","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00013834","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","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/A5112823142","display_name":"Stephen Kwek","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. Kwek","raw_affiliation_strings":["Department of Computer Science, Washington University, St. Louis, MO 63130, USA. kwek@cs.wustl.edu., , , , , , US","Department of Computer Science, Washington University, St. Louis, MO 63130, USA. kwek@cs.wustl.edu., , US"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Washington University, St. Louis, MO 63130, USA. kwek@cs.wustl.edu., , , , , , US","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Computer Science, Washington University, St. Louis, MO 63130, USA. kwek@cs.wustl.edu., , US","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043778997","display_name":"Leonard Pitt","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Pitt","raw_affiliation_strings":["Computer Science Department, University of Illinois, Urbana, IL 61801, USA. pitt@cs.uiuc.edu., , , , , , US","Computer Science Department, University of Illinois, Urbana, IL 61801, USA. pitt@cs.uiuc.edu., , US"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Illinois, Urbana, IL 61801, USA. pitt@cs.uiuc.edu., , , , , , US","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Computer Science Department, University of Illinois, Urbana, IL 61801, USA. pitt@cs.uiuc.edu., , US","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112823142"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1058,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.82879353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"1-2","first_page":"53","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9962000250816345,"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":0.9947999715805054,"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/combinatorics","display_name":"Combinatorics","score":0.7714232206344604},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.71800696849823},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7125861644744873},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7065974473953247},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.6989009380340576},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5914197564125061},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5546537637710571},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5459680557250977},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5244218111038208},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48980188369750977},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4726387858390808},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.44019851088523865},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.427916556596756},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.426194965839386},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.42071253061294556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3948914706707001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29502439498901367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09582638740539551},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08548837900161743}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7714232206344604},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.71800696849823},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7125861644744873},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7065974473953247},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.6989009380340576},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5914197564125061},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5546537637710571},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5459680557250977},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5244218111038208},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48980188369750977},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4726387858390808},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.44019851088523865},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.427916556596756},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.426194965839386},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.42071253061294556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3948914706707001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29502439498901367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09582638740539551},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08548837900161743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00013834","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00013834","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W2256202","https://openalex.org/W335484294","https://openalex.org/W1560333885","https://openalex.org/W1938180907","https://openalex.org/W1964839993","https://openalex.org/W1965187358","https://openalex.org/W1970574535","https://openalex.org/W1973117121","https://openalex.org/W1979753916","https://openalex.org/W1979866274","https://openalex.org/W1982381767","https://openalex.org/W1991095526","https://openalex.org/W2003538045","https://openalex.org/W2013196886","https://openalex.org/W2013812265","https://openalex.org/W2019363670","https://openalex.org/W2020114845","https://openalex.org/W2022841629","https://openalex.org/W2024591429","https://openalex.org/W2031979166","https://openalex.org/W2039371991","https://openalex.org/W2042050521","https://openalex.org/W2054851560","https://openalex.org/W2072682576","https://openalex.org/W2074316151","https://openalex.org/W2082055731","https://openalex.org/W2106326515","https://openalex.org/W2107189314","https://openalex.org/W2129113961","https://openalex.org/W2143362693","https://openalex.org/W2153050879","https://openalex.org/W2154952480","https://openalex.org/W2167072515","https://openalex.org/W2611147814"],"related_works":["https://openalex.org/W92756310","https://openalex.org/W4221142572","https://openalex.org/W2064444401","https://openalex.org/W2990229941","https://openalex.org/W2952352293","https://openalex.org/W2082371687","https://openalex.org/W2974132161","https://openalex.org/W3022386028","https://openalex.org/W2588639785","https://openalex.org/W4244080821"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}