{"id":"https://openalex.org/W1553489951","doi":"https://doi.org/10.1007/11776420_26","title":"Improved Lower Bounds for Learning Intersections of Halfspaces","display_name":"Improved Lower Bounds for Learning Intersections of Halfspaces","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1553489951","doi":"https://doi.org/10.1007/11776420_26","mag":"1553489951"},"language":"en","primary_location":{"id":"doi:10.1007/11776420_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11776420_26","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/A5006626709","display_name":"Adam R. Klivans","orcid":"https://orcid.org/0000-0001-6960-2235"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adam R. Klivans","raw_affiliation_strings":["Department of Computer Sciences, The University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, The University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079755716","display_name":"Alexander A. Sherstov","orcid":"https://orcid.org/0000-0002-2488-7852"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander A. Sherstov","raw_affiliation_strings":["Department of Computer Sciences, The University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, The University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006626709"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.022,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.91924875,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"335","last_page":"349"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9890000224113464,"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/T12535","display_name":"Machine Learning and Data Classification","score":0.9854000210762024,"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/concept-class","display_name":"Concept class","score":0.7751089334487915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.705335259437561},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.7032241821289062},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.6854401230812073},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6393306255340576},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5929617285728455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.572625458240509},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5101613998413086},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5045288801193237},{"id":"https://openalex.org/keywords/learnability","display_name":"Learnability","score":0.45781296491622925},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4205726385116577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4120945632457733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16461476683616638},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11660850048065186},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07612627744674683}],"concepts":[{"id":"https://openalex.org/C203313322","wikidata":"https://www.wikidata.org/wiki/Q5158394","display_name":"Concept class","level":2,"score":0.7751089334487915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.705335259437561},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7032241821289062},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6854401230812073},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6393306255340576},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5929617285728455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.572625458240509},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5101613998413086},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5045288801193237},{"id":"https://openalex.org/C2777723229","wikidata":"https://www.wikidata.org/wiki/Q4367921","display_name":"Learnability","level":2,"score":0.45781296491622925},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4205726385116577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4120945632457733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16461476683616638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11660850048065186},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07612627744674683},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11776420_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11776420_26","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W24307859","https://openalex.org/W193605690","https://openalex.org/W1529190178","https://openalex.org/W1555791054","https://openalex.org/W1990538552","https://openalex.org/W1995897489","https://openalex.org/W2019363670","https://openalex.org/W2038111284","https://openalex.org/W2053817819","https://openalex.org/W2060775054","https://openalex.org/W2063165065","https://openalex.org/W2064680241","https://openalex.org/W2065151783","https://openalex.org/W2069124970","https://openalex.org/W2070705993","https://openalex.org/W2072631813","https://openalex.org/W2097575812","https://openalex.org/W2097957732","https://openalex.org/W2110503949","https://openalex.org/W2129162297","https://openalex.org/W2161959472","https://openalex.org/W2168115971","https://openalex.org/W4238893454","https://openalex.org/W4245463838"],"related_works":["https://openalex.org/W3174029403","https://openalex.org/W2406104414","https://openalex.org/W1601120862","https://openalex.org/W4256446823","https://openalex.org/W2130608487","https://openalex.org/W1968382763","https://openalex.org/W1649482245","https://openalex.org/W2093717447","https://openalex.org/W1525870773","https://openalex.org/W2985264093"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
