{"id":"https://openalex.org/W2888078674","doi":"https://doi.org/10.1080/01605682.2017.1398206","title":"Mixed integer linear programming and heuristic methods for feature selection in clustering","display_name":"Mixed integer linear programming and heuristic methods for feature selection in clustering","publication_year":2018,"publication_date":"2018-01-05","ids":{"openalex":"https://openalex.org/W2888078674","doi":"https://doi.org/10.1080/01605682.2017.1398206","mag":"2888078674"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2017.1398206","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2017.1398206","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.research.ed.ac.uk/files/46318614/clustering_JORS_May2017_v23.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016272288","display_name":"Stefano Benati","orcid":"https://orcid.org/0000-0002-1928-5224"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["ES","GB","IT"],"is_corresponding":true,"raw_author_name":"Stefano Benati","raw_affiliation_strings":["School of International Studies, University of Trento, Trento, Italy","School of Mathematics, University of Edinburgh, United Kingdom","Justo Puerto IMUS, Universidad de Sevilla, Spain"],"raw_orcid":"https://orcid.org/0000-0002-1928-5224","affiliations":[{"raw_affiliation_string":"School of International Studies, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"School of Mathematics, University of Edinburgh, United Kingdom","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"Justo Puerto IMUS, Universidad de Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074131887","display_name":"Sergio Garc\u00eda","orcid":"https://orcid.org/0000-0003-4281-6916"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["ES","GB","IT"],"is_corresponding":false,"raw_author_name":"Sergio Garc\u00eda","raw_affiliation_strings":["School of Mathematics, The University of Edinburgh, Edinburgh, UK","University of Trento, Via Verdi 26, 38122 Trento, Italy,","Justo Puerto IMUS, Universidad de Sevilla, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4281-6916","affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of Edinburgh, Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"University of Trento, Via Verdi 26, 38122 Trento, Italy,","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"Justo Puerto IMUS, Universidad de Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088287025","display_name":"Justo Puerto","orcid":"https://orcid.org/0000-0003-4079-8419"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Justo Puerto","raw_affiliation_strings":["Institute of Mathematics of the University of Seville (IMUS), Universidad de Sevilla, Sevilla, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4079-8419","affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the University of Seville (IMUS), Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016272288"],"corresponding_institution_ids":["https://openalex.org/I193223587","https://openalex.org/I79238269","https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":3.0885,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9140572,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"69","issue":"9","first_page":"1379","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9912999868392944,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9868000149726868,"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/integer-programming","display_name":"Integer programming","score":0.7624473571777344},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7576923370361328},{"id":"https://openalex.org/keywords/feature-selection","display_name":"Feature selection","score":0.6531152129173279},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6220988631248474},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5775377154350281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5739316940307617},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5690277218818665},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5097517371177673},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5039927363395691},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45581477880477905},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.45144128799438477},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4471127688884735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41399022936820984},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.41142767667770386},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3624383807182312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3510974645614624},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2506716251373291}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7624473571777344},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7576923370361328},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.6531152129173279},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6220988631248474},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5775377154350281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5739316940307617},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5690277218818665},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5097517371177673},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5039927363395691},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45581477880477905},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.45144128799438477},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4471127688884735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41399022936820984},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.41142767667770386},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3624383807182312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3510974645614624},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2506716251373291},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1080/01605682.2017.1398206","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2017.1398206","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:pure.ed.ac.uk:publications/fd449a3b-8af6-4d35-9443-df2218961613","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/fd449a3b-8af6-4d35-9443-df2218961613","pdf_url":"https://www.research.ed.ac.uk/files/46318614/clustering_JORS_May2017_v23.pdf","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Benati, S, Garcia Quiles, S & Puerto, J 2018, 'Mixed Integer Linear Programming and Heuristic Methods for Feature Selection in Clustering', Journal of the Operational Research Society, vol. 69, no. 9, pp. 1379-1395. https://doi.org/10.1080/01605682.2017.1398206","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:taf:tjorxx:v:69:y:2018:i:9:p:1379-1395","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/01605682.2017.1398206","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"},{"id":"pmh:oai:dnet:idus________::2fca3d1bf4fa1853da27d67ab12e50e8","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/69808","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unitn.it:11572/197796","is_oa":true,"landing_page_url":"https://www.tandfonline.com/doi/full/10.1080/01605682.2017.1398206","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/fd449a3b-8af6-4d35-9443-df2218961613","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11820/fd449a3b-8af6-4d35-9443-df2218961613","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Benati, S, Garcia Quiles, S & Puerto, J 2018, 'Mixed Integer Linear Programming and Heuristic Methods for Feature Selection in Clustering', Journal of the Operational Research Society, vol. 69, no. 9, pp. 1379-1395. https://doi.org/10.1080/01605682.2017.1398206","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:publications/fd449a3b-8af6-4d35-9443-df2218961613","is_oa":false,"landing_page_url":"https://www.research.ed.ac.uk/portal/en/publications/mixed-integer-linear-programming-and-heuristic-methods-for-feature-selection-in-clustering(fd449a3b-8af6-4d35-9443-df2218961613).html","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:publications/fd449a3b-8af6-4d35-9443-df2218961613","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/fd449a3b-8af6-4d35-9443-df2218961613","pdf_url":"https://www.research.ed.ac.uk/files/46318614/clustering_JORS_May2017_v23.pdf","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Benati, S, Garcia Quiles, S & Puerto, J 2018, 'Mixed Integer Linear Programming and Heuristic Methods for Feature Selection in Clustering', Journal of the Operational Research Society, vol. 69, no. 9, pp. 1379-1395. https://doi.org/10.1080/01605682.2017.1398206","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3129363394","display_name":null,"funder_award_id":"10.13039/100007801","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"}],"funders":[{"id":"https://openalex.org/F4320310087","display_name":"Fundaci\u00f3n S\u00e9neca","ror":"https://ror.org/03q68pf65"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2888078674.pdf","grobid_xml":"https://content.openalex.org/works/W2888078674.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W5900079","https://openalex.org/W62076587","https://openalex.org/W1967597907","https://openalex.org/W1973994147","https://openalex.org/W1981991106","https://openalex.org/W1983457904","https://openalex.org/W1984953641","https://openalex.org/W1996346637","https://openalex.org/W2005539036","https://openalex.org/W2011832962","https://openalex.org/W2023704570","https://openalex.org/W2029783501","https://openalex.org/W2030977788","https://openalex.org/W2030994722","https://openalex.org/W2039912481","https://openalex.org/W2041179125","https://openalex.org/W2047109555","https://openalex.org/W2048178552","https://openalex.org/W2048239613","https://openalex.org/W2054252896","https://openalex.org/W2061184451","https://openalex.org/W2062427398","https://openalex.org/W2063087503","https://openalex.org/W2068640436","https://openalex.org/W2075711194","https://openalex.org/W2076089275","https://openalex.org/W2078601409","https://openalex.org/W2079896089","https://openalex.org/W2085573033","https://openalex.org/W2094909687","https://openalex.org/W2117853077","https://openalex.org/W2119479037","https://openalex.org/W2122910690","https://openalex.org/W2138152656","https://openalex.org/W2145482994","https://openalex.org/W2152465818","https://openalex.org/W2153171506","https://openalex.org/W2154989541","https://openalex.org/W2317866228","https://openalex.org/W2425246132","https://openalex.org/W4235169531","https://openalex.org/W4285719527","https://openalex.org/W4399582695"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4285278887","https://openalex.org/W2995925505","https://openalex.org/W134783735","https://openalex.org/W2365237642","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W4232431455","https://openalex.org/W2949586633"],"abstract_inverted_index":{"This":[0,81],"paper":[1],"studies":[2],"the":[3,66,70,73,76,104,117,163,171,176,182,207],"problem":[4,55,86],"of":[5,13,30,35,40,57,61,69,162,166],"selecting":[6],"relevant":[7,118,139],"features":[8,19,62,119,140],"in":[9,16,206],"clustering":[10,199],"problems,":[11],"out":[12],"a":[14,27,32,37,59,83],"data-set":[15,25],"which":[17],"many":[18,131],"are":[20,113,120,141,147],"useless,":[21],"or":[22],"masking.":[23],"The":[24,52],"comprises":[26],"set":[28,33,38],"U":[29],"units,":[31],"V":[34],"features,":[36],"R":[39],"(tentative)":[41],"cluster":[42,186],"centres":[43],"and":[44,93,116,138],"distances":[45,71],"dijk":[46],"for":[47,198],"every":[48],"i\u2208U,":[49],"k\u2208R,":[50],"j\u2208V.":[51],"feature":[53],"selection":[54,202],"consists":[56],"finding":[58],"subset":[60],"Q\u2286V":[63],"such":[64],"that":[65,87,110,192,203],"total":[67],"sum":[68],"from":[72],"units":[74],"to":[75,90,102,122,158,185],"closest":[77],"centre":[78],"is":[79,82,179],"minimised.":[80],"combinatorial":[84],"optimisation":[85],"we":[88,94,153],"show":[89,109],"be":[91],"NP-complete,":[92],"propose":[95,154],"two":[96,155],"mixed":[97],"integer":[98,132],"linear":[99],"programming":[100],"formulations":[101,126],"calculate":[103],"solution.":[105],"Some":[106],"computational":[107],"experiments":[108],"if":[111,135],"clusters":[112,136],"well":[114],"separated":[115],"easy":[121],"detect,":[123],"then":[124,143],"both":[125],"can":[127],"solve":[128],"problems":[129,146],"with":[130,181,200],"variables.":[133],"Conversely,":[134],"overlap":[137],"ambiguous,":[142],"even":[144],"small":[145],"unsolved.":[148],"To":[149],"overcome":[150],"this":[151,193],"difficulty,":[152],"heuristic":[156,178],"methods":[157,197],"find":[159],"that,":[160],"most":[161],"time,":[164],"one":[165],"them,":[167],"called":[168],"q-vars,":[169],"calculates":[170],"optimal":[172],"solution":[173],"quickly.":[174],"Then,":[175],"q-vars":[177],"combined":[180],"k-means":[183],"algorithm":[184],"some":[187],"simulated":[188],"data.":[189],"We":[190],"conclude":[191],"approach":[194],"outperforms":[195],"other":[196],"variable":[201],"were":[204],"proposed":[205],"literature.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-05T09:01:59.212387","created_date":"2025-10-10T00:00:00"}