{"id":"https://openalex.org/W4403344678","doi":"https://doi.org/10.1287/ijoc.2024.0938","title":"A Column Generation Algorithm with Dynamic Constraint Aggregation for Minimum Sum-of-Squares Clustering","display_name":"A Column Generation Algorithm with Dynamic Constraint Aggregation for Minimum Sum-of-Squares Clustering","publication_year":2025,"publication_date":"2025-07-16","ids":{"openalex":"https://openalex.org/W4403344678","doi":"https://doi.org/10.1287/ijoc.2024.0938"},"language":"en","primary_location":{"id":"doi:10.1287/ijoc.2024.0938","is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.2024.0938","pdf_url":null,"source":{"id":"https://openalex.org/S165318533","display_name":"INFORMS journal on computing","issn_l":"0899-1499","issn":["0899-1499","1091-9856","1526-5528","2326-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"INFORMS Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.06187","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083536934","display_name":"Antonio M. Sudoso","orcid":"https://orcid.org/0000-0002-2936-9931"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio M. Sudoso","raw_affiliation_strings":["Department of Computer, Control and Management Engineering \u201cA. Ruberti\u201d, Sapienza University of Rome, 00185 Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2936-9931","affiliations":[{"raw_affiliation_string":"Department of Computer, Control and Management Engineering \u201cA. Ruberti\u201d, Sapienza University of Rome, 00185 Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038720756","display_name":"Daniel Aloise","orcid":"https://orcid.org/0000-0002-9876-2921"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Daniel Aloise","raw_affiliation_strings":["Department of Computer and Software Engineering, Polytechnique Montr\u00e9al, Montr\u00e9al, Quebec H3T 1J4, Canada"],"raw_orcid":"https://orcid.org/0000-0002-9876-2921","affiliations":[{"raw_affiliation_string":"Department of Computer and Software Engineering, Polytechnique Montr\u00e9al, Montr\u00e9al, Quebec H3T 1J4, Canada","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038720756"],"corresponding_institution_ids":["https://openalex.org/I45683168"],"apc_list":null,"apc_paid":null,"fwci":2.4431,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88577238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"38","issue":"3","first_page":"905","last_page":"920"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9797000288963318,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9797000288963318,"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/column","display_name":"Column (typography)","score":0.7219496369361877},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.7166347503662109},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6744754910469055},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6075233221054077},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.550480842590332},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4798957109451294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4651682376861572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43527644872665405},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.43227988481521606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4127793312072754},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35459959506988525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1255456805229187},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11312046647071838}],"concepts":[{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.7219496369361877},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.7166347503662109},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6744754910469055},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6075233221054077},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.550480842590332},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4798957109451294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4651682376861572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43527644872665405},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.43227988481521606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4127793312072754},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35459959506988525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1255456805229187},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11312046647071838},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1287/ijoc.2024.0938","is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.2024.0938","pdf_url":null,"source":{"id":"https://openalex.org/S165318533","display_name":"INFORMS journal on computing","issn_l":"0899-1499","issn":["0899-1499","1091-9856","1526-5528","2326-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"INFORMS Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:66570","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/66570/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article de revue"},{"id":"pmh:oai:arXiv.org:2410.06187","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.06187","pdf_url":"https://arxiv.org/pdf/2410.06187","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:iris.uniroma1.it:11573/1743290","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1743290","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2410.06187","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.06187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.06187","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.06187","pdf_url":"https://arxiv.org/pdf/2410.06187","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4403344678.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W2131929195","https://openalex.org/W2100485099","https://openalex.org/W2170006979","https://openalex.org/W2082153300","https://openalex.org/W2607766698","https://openalex.org/W2066261972","https://openalex.org/W4315491629","https://openalex.org/W3079159037","https://openalex.org/W2008730542","https://openalex.org/W2077410003","https://openalex.org/W2057459863","https://openalex.org/W2159784590","https://openalex.org/W2516530272","https://openalex.org/W2073503732","https://openalex.org/W1970355999","https://openalex.org/W2160039585","https://openalex.org/W1986219860","https://openalex.org/W2506488269","https://openalex.org/W3158016150","https://openalex.org/W2163428398","https://openalex.org/W2893945456","https://openalex.org/W2111891958","https://openalex.org/W4236099432","https://openalex.org/W2038320188","https://openalex.org/W3086127987"],"related_works":["https://openalex.org/W2464562236","https://openalex.org/W1488119866","https://openalex.org/W2378346679","https://openalex.org/W3010831251","https://openalex.org/W2058869626","https://openalex.org/W2106850246","https://openalex.org/W4388252235","https://openalex.org/W2378144170","https://openalex.org/W1991217434","https://openalex.org/W2753003631"],"abstract_inverted_index":{"The":[0,184,217],"minimum":[1],"sum-of-squares":[2],"clustering":[3],"problem":[4,14,95],"(MSSC),":[5],"also":[6],"known":[7],"as":[8,205,207],"k-means":[9],"clustering,":[10],"refers":[11],"to":[12,65,82,142],"the":[13,24,28,39,68,74,101,113,151,188,196,209],"of":[15,26,31,41,70,100,115,132,164,178,190],"partitioning":[16,87,103],"n":[17],"data":[18],"points":[19],"into":[20,105],"k":[21],"clusters,":[22],"with":[23,60],"objective":[25],"minimizing":[27],"total":[29],"sum":[30],"squared":[32],"Euclidean":[33],"distances":[34],"between":[35],"each":[36],"point":[37],"and":[38,139,174,198,221],"center":[40],"its":[42,199],"assigned":[43],"cluster.":[44],"We":[45],"propose":[46],"an":[47,91],"efficient":[48],"algorithm":[49,120],"for":[50,121,160],"solving":[51],"large-scale":[52],"MSSC":[53,122],"instances,":[54],"which":[55],"combines":[56],"column":[57],"generation":[58],"(CG)":[59],"dynamic":[61],"constraint":[62],"aggregation":[63],"(DCA)":[64],"effectively":[66],"reduce":[67,83],"number":[69],"constraints":[71,104],"considered":[72],"in":[73,85,150],"CG":[75,119],"master":[76,94],"problem.":[77],"DCA":[78,116,136],"was":[79,169],"originally":[80],"conceived":[81],"degeneracy":[84],"set":[86,102],"problems":[88],"by":[89,129,155,171],"utilizing":[90],"aggregated":[92],"restricted":[93],"obtained":[96],"from":[97,208],"a":[98,118,130],"partition":[99],"disjoint":[106],"clusters.":[107],"In":[108],"this":[109,191],"work,":[110],"we":[111],"explore":[112],"use":[114],"within":[117,195],"exact":[123,147],"solution.":[124],"Our":[125],"method":[126],"is":[127,140,193,224],"fine-tuned":[128],"series":[131],"ablation":[133],"studies":[134],"on":[135],"design":[137],"choices,":[138],"demonstrated":[141],"significantly":[143],"outperform":[144],"existing":[145],"state-of-the-art":[146],"approaches":[148],"available":[149,194,225],"literature.":[152],"History:":[153],"Accepted":[154],"Andrea":[156],"Lodi,":[157],"Area":[158],"Editor":[159],"Design":[161],"&":[162],"Analysis":[163],"Algorithms\u2013Discrete.":[165],"Funding:":[166],"This":[167],"work":[168],"supported":[170],"Natural":[172],"Sciences":[173],"Engineering":[175],"Research":[176],"Council":[177],"Canada":[179],"[Grant":[180],"2023-04466].":[181],"Supplemental":[182,200],"Material:":[183],"software":[185,212],"that":[186],"supports":[187],"findings":[189],"study":[192],"paper":[197],"Information":[201],"(":[202,214],"https://pubsonline.informs.org/doi/suppl/10.1287/ijoc.2024.0938":[203],")":[204],"well":[206],"IJOC":[210,219],"GitHub":[211],"repository":[213],"https://github.com/INFORMSJoC/2024.0938":[215],").":[216],"complete":[218],"Software":[220],"Data":[222],"Repository":[223],"at":[226],"https://informsjoc.github.io/":[227],".":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2024-10-12T00:00:00"}