{"id":"https://openalex.org/W2187284394","doi":"https://doi.org/10.1007/3-540-59042-0_102","title":"Lower bounds on learning decision lists and trees","display_name":"Lower bounds on learning decision lists and trees","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2187284394","doi":"https://doi.org/10.1007/3-540-59042-0_102","mag":"2187284394"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59042-0_102","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59042-0_102","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/A5006425860","display_name":"Thomas R. Hancock","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137693","display_name":"Siemens (United States)","ror":"https://ror.org/04axb7e79","country_code":"US","type":"company","lineage":["https://openalex.org/I1325886976","https://openalex.org/I4210137693"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas Hancock","raw_affiliation_strings":["Siemens Corporate Research, 755 College Road East, 08540, Princeton, NJ"],"affiliations":[{"raw_affiliation_string":"Siemens Corporate Research, 755 College Road East, 08540, Princeton, NJ","institution_ids":["https://openalex.org/I4210137693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101911266","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0003-3833-4498"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tao Jiang","raw_affiliation_strings":["Dept. of Comp. Sci., McMaster University, L8S 4K1, Hamilton, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Sci., McMaster University, L8S 4K1, Hamilton, Ont., Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108086353","display_name":"Ming Li","orcid":"https://orcid.org/0000-0003-1842-0356"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ming Li","raw_affiliation_strings":["Dept. of Comp. Sci., University of Waterloo, N3L 3G1, Waterloo, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Sci., University of Waterloo, N3L 3G1, Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039252182","display_name":"John Tromp","orcid":"https://orcid.org/0000-0002-1062-8710"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"John Tromp","raw_affiliation_strings":["Dept. of Comp. Sci., University of Waterloo, N3L 3G1, Waterloo, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Sci., University of Waterloo, N3L 3G1, Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006425860"],"corresponding_institution_ids":["https://openalex.org/I4210137693"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.7951,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.90137181,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"527","last_page":"538"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.994700014591217,"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/T12535","display_name":"Machine Learning and Data Classification","score":0.9891999959945679,"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/decision-tree","display_name":"Decision tree","score":0.6209821701049805},{"id":"https://openalex.org/keywords/dtime","display_name":"DTIME","score":0.5979676246643066},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5865931510925293},{"id":"https://openalex.org/keywords/probably-approximately-correct-learning","display_name":"Probably approximately correct learning","score":0.5761353969573975},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5760464072227478},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5660262703895569},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.5615003705024719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4969621002674103},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48097217082977295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4735518991947174},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44114604592323303},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.4391922354698181},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41419824957847595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36677491664886475},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3419978618621826},{"id":"https://openalex.org/keywords/computational-learning-theory","display_name":"Computational learning theory","score":0.251189649105072},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20705875754356384},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.17634043097496033},{"id":"https://openalex.org/keywords/active-learning","display_name":"Active learning (machine learning)","score":0.0933234691619873}],"concepts":[{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.6209821701049805},{"id":"https://openalex.org/C15547884","wikidata":"https://www.wikidata.org/wiki/Q1155831","display_name":"DTIME","level":5,"score":0.5979676246643066},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5865931510925293},{"id":"https://openalex.org/C176248197","wikidata":"https://www.wikidata.org/wiki/Q458526","display_name":"Probably approximately correct learning","level":4,"score":0.5761353969573975},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5760464072227478},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5660262703895569},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.5615003705024719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4969621002674103},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48097217082977295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4735518991947174},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44114604592323303},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.4391922354698181},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41419824957847595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36677491664886475},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3419978618621826},{"id":"https://openalex.org/C50292564","wikidata":"https://www.wikidata.org/wiki/Q2462783","display_name":"Computational learning theory","level":3,"score":0.251189649105072},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20705875754356384},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.17634043097496033},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.0933234691619873},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-59042-0_102","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59042-0_102","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":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W187782036","https://openalex.org/W1970074386","https://openalex.org/W1983661866","https://openalex.org/W1994022788","https://openalex.org/W1999011285","https://openalex.org/W2015772170","https://openalex.org/W2019363670","https://openalex.org/W2029058452","https://openalex.org/W2038225707","https://openalex.org/W2040579873","https://openalex.org/W2066848920","https://openalex.org/W2079473728","https://openalex.org/W2091401625","https://openalex.org/W2111008177","https://openalex.org/W2117049614","https://openalex.org/W2143391442","https://openalex.org/W2149706766","https://openalex.org/W2152221184","https://openalex.org/W2154952480","https://openalex.org/W2428981601","https://openalex.org/W3085162807","https://openalex.org/W4235570552","https://openalex.org/W4238893454","https://openalex.org/W4297957988","https://openalex.org/W6809150796","https://openalex.org/W6817491142","https://openalex.org/W6843735874"],"related_works":["https://openalex.org/W2399505800","https://openalex.org/W333749553","https://openalex.org/W1558618163","https://openalex.org/W2399350284","https://openalex.org/W2187284394","https://openalex.org/W2400283444","https://openalex.org/W1506378440","https://openalex.org/W2233166690","https://openalex.org/W2011295201","https://openalex.org/W2064474796"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}