{"id":"https://openalex.org/W2038056590","doi":"https://doi.org/10.1007/s10260-009-0123-2","title":"Polynomials for classification trees and applications","display_name":"Polynomials for classification trees and applications","publication_year":2009,"publication_date":"2009-07-06","ids":{"openalex":"https://openalex.org/W2038056590","doi":"https://doi.org/10.1007/s10260-009-0123-2","mag":"2038056590"},"language":"en","primary_location":{"id":"doi:10.1007/s10260-009-0123-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10260-009-0123-2","pdf_url":null,"source":{"id":"https://openalex.org/S155615518","display_name":"Statistical Methods & Applications","issn_l":"1121-9130","issn":["1121-9130","1613-981X","1618-2510","2385-264X"],"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":"Statistical Methods and Applications","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/A5038696332","display_name":"Ian H. Dinwoodie","orcid":null},"institutions":[{"id":"https://openalex.org/I1343558604","display_name":"Statistical and Applied Mathematical Sciences Institute","ror":"https://ror.org/01shctp43","country_code":"US","type":"facility","lineage":["https://openalex.org/I1311060795","https://openalex.org/I1343558604"]},{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ian H. Dinwoodie","raw_affiliation_strings":["Duke University and SAMSI, Durham, USA","Duke University and SAMSI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University and SAMSI, Durham, USA","institution_ids":["https://openalex.org/I1343558604","https://openalex.org/I170897317"]},{"raw_affiliation_string":"Duke University and SAMSI","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038696332"],"corresponding_institution_ids":["https://openalex.org/I1343558604","https://openalex.org/I170897317"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.2925,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80044876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"2","first_page":"171","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9775999784469604,"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/lexicographical-order","display_name":"Lexicographical order","score":0.6736939549446106},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.6570905447006226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.649164080619812},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5245599746704102},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5139195919036865},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5070819854736328},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4903407096862793},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4787037670612335},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4761778712272644},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4670996069908142},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4468400180339813},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4253070652484894},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.41793113946914673},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4155736565589905},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38514405488967896},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.3817179799079895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2832624316215515},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22274142503738403},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1907920241355896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15026110410690308}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.6736939549446106},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.6570905447006226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.649164080619812},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5245599746704102},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5139195919036865},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5070819854736328},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4903407096862793},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4787037670612335},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4761778712272644},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4670996069908142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4468400180339813},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4253070652484894},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.41793113946914673},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4155736565589905},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38514405488967896},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3817179799079895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2832624316215515},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22274142503738403},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1907920241355896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15026110410690308},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10260-009-0123-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10260-009-0123-2","pdf_url":null,"source":{"id":"https://openalex.org/S155615518","display_name":"Statistical Methods & Applications","issn_l":"1121-9130","issn":["1121-9130","1613-981X","1618-2510","2385-264X"],"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":"Statistical Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.190.6468","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.6468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.samsi.info/TR/tr2008-07.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:stmapp:v:19:y:2010:i:2:p:171-192","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10260-009-0123-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1483218536","https://openalex.org/W1493026726","https://openalex.org/W1594031697","https://openalex.org/W1995642397","https://openalex.org/W2045638068","https://openalex.org/W2069530808","https://openalex.org/W2069739265","https://openalex.org/W2080267935","https://openalex.org/W2089248650","https://openalex.org/W2089657469","https://openalex.org/W2099111195","https://openalex.org/W2114518254","https://openalex.org/W2118189945","https://openalex.org/W2120526231","https://openalex.org/W2132489129","https://openalex.org/W2152482800","https://openalex.org/W2156841851","https://openalex.org/W2163449867","https://openalex.org/W2175098281","https://openalex.org/W2319466955","https://openalex.org/W2330820318","https://openalex.org/W2607893089","https://openalex.org/W3085162807","https://openalex.org/W3196620053","https://openalex.org/W4250501683","https://openalex.org/W4292096448","https://openalex.org/W4298289021","https://openalex.org/W6601289836"],"related_works":["https://openalex.org/W2277198065","https://openalex.org/W2592998205","https://openalex.org/W2947105448","https://openalex.org/W2486717996","https://openalex.org/W2613140525","https://openalex.org/W1982136501","https://openalex.org/W604413008","https://openalex.org/W1605162252","https://openalex.org/W2138135391","https://openalex.org/W2374113901"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}