{"id":"https://openalex.org/W3017128687","doi":"https://doi.org/10.1023/a:1007454427662","title":"Strong Minimax Lower Bounds for Learning","display_name":"Strong Minimax Lower Bounds for Learning","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W3017128687","doi":"https://doi.org/10.1023/a:1007454427662","mag":"3017128687"},"language":"en","primary_location":{"id":"doi:10.1023/a:1007454427662","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007454427662","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007454427662.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1023/A:1007454427662.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042532195","display_name":"Andr\u00e1s Antos","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andr\u00e1s Antos","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Electrical Engineering, Technical University of Budapest, 1521 Stoczek u.2, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Electrical Engineering, Technical University of Budapest, 1521 Stoczek u.2, Budapest, Hungary","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034680608","display_name":"G\u00e1bor Lugosi","orcid":"https://orcid.org/0000-0003-1614-5901"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Pompeu Fabra University","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G\u00e1bor Lugosi","raw_affiliation_strings":["Department of Economics, Pompeu Fabra University, Ramon Trias Fargas, 25-27, 08005, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Economics, Pompeu Fabra University, Ramon Trias Fargas, 25-27, 08005, Barcelona, Spain","institution_ids":["https://openalex.org/I170486558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042532195"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6587,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88012463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"30","issue":"1","first_page":"31","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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/T10320","display_name":"Neural Networks and Applications","score":0.9955000281333923,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9878000020980835,"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/minimax","display_name":"Minimax","score":0.9213457107543945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7408626079559326},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6437530517578125},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6141214966773987},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5581482648849487},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5303911566734314},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5177199244499207},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5096392631530762},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4971194565296173},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.46364015340805054},{"id":"https://openalex.org/keywords/concept-class","display_name":"Concept class","score":0.43273046612739563},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17168357968330383},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1327415406703949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12359863519668579},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.104230135679245}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.9213457107543945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7408626079559326},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6437530517578125},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6141214966773987},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5581482648849487},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5303911566734314},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5177199244499207},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5096392631530762},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4971194565296173},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.46364015340805054},{"id":"https://openalex.org/C203313322","wikidata":"https://www.wikidata.org/wiki/Q5158394","display_name":"Concept class","level":2,"score":0.43273046612739563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17168357968330383},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1327415406703949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12359863519668579},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.104230135679245},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1007454427662","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007454427662","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007454427662.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1023/a:1007454427662","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007454427662","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007454427662.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017128687.pdf","grobid_xml":"https://content.openalex.org/works/W3017128687.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W124167277","https://openalex.org/W1484462388","https://openalex.org/W1564947197","https://openalex.org/W2003680476","https://openalex.org/W2006680421","https://openalex.org/W2045313701","https://openalex.org/W2066688546","https://openalex.org/W2066946967","https://openalex.org/W2146253943","https://openalex.org/W2154952480","https://openalex.org/W2303608025","https://openalex.org/W2330274477","https://openalex.org/W3123276417"],"related_works":["https://openalex.org/W2075848522","https://openalex.org/W2358341654","https://openalex.org/W3116262722","https://openalex.org/W1992689803","https://openalex.org/W2025239573","https://openalex.org/W2158905189","https://openalex.org/W4319874546","https://openalex.org/W3139996414","https://openalex.org/W3121907121","https://openalex.org/W1608010788"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-04-24T00:00:00"}