{"id":"https://openalex.org/W1788620677","doi":"https://doi.org/10.1007/978-3-319-08434-3_8","title":"Applying Machine Learning to the Problem of Choosing a Heuristic to Select the Variable Ordering for Cylindrical Algebraic Decomposition","display_name":"Applying Machine Learning to the Problem of Choosing a Heuristic to Select the Variable Ordering for Cylindrical Algebraic Decomposition","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1788620677","doi":"https://doi.org/10.1007/978-3-319-08434-3_8","mag":"1788620677"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-08434-3_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-08434-3_8","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.6369","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Zongyan Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]}],"countries":["GB","SS"],"is_corresponding":true,"raw_author_name":"Zongyan Huang","raw_affiliation_strings":["University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K"],"affiliations":[{"raw_affiliation_string":"University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210096386"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Matthew England","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Matthew England","raw_affiliation_strings":["Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":null,"display_name":"David Wilson","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Wilson","raw_affiliation_strings":["Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":null,"display_name":"James H. Davenport","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James H. Davenport","raw_affiliation_strings":["Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bath, Bath, BA2 7AY, U.K","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Lawrence C. Paulson","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]}],"countries":["GB","SS"],"is_corresponding":false,"raw_author_name":"Lawrence C. Paulson","raw_affiliation_strings":["University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K"],"affiliations":[{"raw_affiliation_string":"University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210096386"]}]},{"author_position":"last","author":{"id":null,"display_name":"James Bridge","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]}],"countries":["GB","SS"],"is_corresponding":false,"raw_author_name":"James Bridge","raw_affiliation_strings":["University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K"],"affiliations":[{"raw_affiliation_string":"University of Cambridge Computer Laboratory, Cambridge, CB3 0FD, U.K","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210096386"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210096386"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.5918,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.93765036,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"92","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9772999882698059,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9772999882698059,"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/T11416","display_name":"Numerical methods for differential equations","score":0.003000000026077032,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0027000000700354576,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.7069000005722046},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6697999835014343},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6187000274658203},{"id":"https://openalex.org/keywords/computational-learning-theory","display_name":"Computational learning theory","score":0.550000011920929},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5131000280380249},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.48399999737739563},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.45980000495910645},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4575999975204468}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7688999772071838},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7069000005722046},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6697999835014343},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6187000274658203},{"id":"https://openalex.org/C50292564","wikidata":"https://www.wikidata.org/wiki/Q2462783","display_name":"Computational learning theory","level":3,"score":0.550000011920929},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5131000280380249},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5006999969482422},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4875999987125397},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48399999737739563},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.45980000495910645},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4575999975204468},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.454800009727478},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.4041999876499176},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C169272836","wikidata":"https://www.wikidata.org/wiki/Q5668307","display_name":"Variable elimination","level":3,"score":0.37720000743865967},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36489999294281006},{"id":"https://openalex.org/C115903097","wikidata":"https://www.wikidata.org/wiki/Q7094097","display_name":"Online machine learning","level":3,"score":0.3294999897480011},{"id":"https://openalex.org/C148607811","wikidata":"https://www.wikidata.org/wiki/Q746863","display_name":"Algebraic function","level":3,"score":0.311599999666214},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.2930000126361847},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C2731732","wikidata":"https://www.wikidata.org/wiki/Q7301119","display_name":"Real algebraic geometry","level":3,"score":0.2872999906539917},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2639000117778778},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26109999418258667}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-08434-3_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-08434-3_8","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:arXiv.org:1404.6369","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.6369","pdf_url":"https://arxiv.org/pdf/1404.6369","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire/b8f51380-ddfa-42f0-9558-7c11a1e61f6a","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/b8f51380-ddfa-42f0-9558-7c11a1e61f6a","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Huang, Z, England, M, Wilson, D, Davenport, J H, Paulson, L & Bridge, J 2014, Applying machine learning to the problem of choosing a heuristic to select the variable ordering for cylindrical algebraic decomposition. in S M Watt, J H Davenport, A P Sexton, P Sojka & J Urban (eds), Intelligent Computer Mathematics. vol. 8543, Lecture Notes in Artificial Intelligence, Springer, pp. 92-107. https://doi.org/10.1007/978-3-319-08434-3_8","raw_type":"bookPart"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1404.6369","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.6369","pdf_url":"https://arxiv.org/pdf/1404.6369","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5769379255","display_name":null,"funder_award_id":"EP/J003247/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W8060374","https://openalex.org/W1493060511","https://openalex.org/W1510073064","https://openalex.org/W1542652324","https://openalex.org/W1553142094","https://openalex.org/W1563088657","https://openalex.org/W1565046294","https://openalex.org/W1565449944","https://openalex.org/W1976567870","https://openalex.org/W1986264093","https://openalex.org/W1995341919","https://openalex.org/W2007074311","https://openalex.org/W2008288068","https://openalex.org/W2021431116","https://openalex.org/W2026612342","https://openalex.org/W2026774968","https://openalex.org/W2031948211","https://openalex.org/W2035781448","https://openalex.org/W2040870580","https://openalex.org/W2051595244","https://openalex.org/W2052865204","https://openalex.org/W2057592112","https://openalex.org/W2067705970","https://openalex.org/W2067974800","https://openalex.org/W2070771761","https://openalex.org/W2075348750","https://openalex.org/W2093850840","https://openalex.org/W2107432340","https://openalex.org/W2113881937","https://openalex.org/W2118020653","https://openalex.org/W2124749403","https://openalex.org/W2125191920","https://openalex.org/W2126528701","https://openalex.org/W2135122395","https://openalex.org/W2137983211","https://openalex.org/W2147492008","https://openalex.org/W4229917934"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2016-06-24T00:00:00"}