乐胖代购免代理版

{"id":"https://openalex.org/W2170006979","doi":"https://doi.org/10.1007/s10107-010-0349-7","title":"An improved column generation algorithm for minimum sum-of-squares clustering","display_name":"An improved column generation algorithm for minimum sum-of-squares clustering","publication_year":2010,"publication_date":"2010-04-19","ids":{"openalex":"https://openalex.org/W2170006979","doi":"https://doi.org/10.1007/s10107-010-0349-7","mag":"2170006979"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-010-0349-7","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.lix.polytechnique.fr/~liberti/colgen-mpa.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038720756","display_name":"Daniel Aloise","orcid":"https://orcid.org/0000-0002-9876-2921"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Daniel Aloise","raw_affiliation_strings":["Department of Production Engineering, Universidade Federal do Rio Grande do Norte, Campus Universit\u00e1rio s/n, Natal, Rio Grande do Norte, 59072-970, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Production Engineering, Universidade Federal do Rio Grande do Norte, Campus Universit\u00e1rio s/n, Natal, Rio Grande do Norte, 59072-970, Brazil","institution_ids":["https://openalex.org/I35046152"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038480864","display_name":"Pierre Hansen","orcid":null},"institutions":[{"id":"https://openalex.org/I108192572","display_name":"HEC Montr\u00e9al","ror":"https://ror.org/05ww3wq27","country_code":"CA","type":"education","lineage":["https://openalex.org/I108192572"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pierre Hansen","raw_affiliation_strings":["GERAD and HEC Montr\u00e9al, 3000, Chemin de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, Qu\u00e9bec, H3T 2A7, Canada"],"affiliations":[{"raw_affiliation_string":"GERAD and HEC Montr\u00e9al, 3000, Chemin de la C\u00f4te-Sainte-Catherine, Montr\u00e9al, Qu\u00e9bec, H3T 2A7, Canada","institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046138085","display_name":"Leo Liberti","orcid":"https://orcid.org/0000-0003-3139-6821"},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Leo Liberti","raw_affiliation_strings":["LIX, \u00c9cole Polytechnique, 91128, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"LIX, \u00c9cole Polytechnique, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038720756"],"corresponding_institution_ids":["https://openalex.org/I35046152"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"apc_paid":null,"fwci":6.346,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":89,"citation_normalized_percentile":{"value":0.999967,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"131","issue":"1-2","first_page":"195","last_page":"220"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Data Clustering Techniques and Algorithms","score":0.9991,"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":"Data Clustering Techniques and Algorithms","score":0.9991,"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/T11106","display_name":"Trajectory Data Mining and Analysis","score":0.9964,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10057","display_name":"Face Recognition and Dimensionality Reduction Techniques","score":0.9845,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/semi-supervised-clustering","display_name":"Semi-supervised Clustering","score":0.573415},{"id":"https://openalex.org/keywords/clustering-algorithms","display_name":"Clustering Algorithms","score":0.554017},{"id":"https://openalex.org/keywords/density-based-clustering","display_name":"Density-based Clustering","score":0.540439},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy Clustering","score":0.531821},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.5309871},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral Clustering","score":0.527906},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.51606244},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4720467}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.76438475},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.71816623},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6926629},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.6328837},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.6054913},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.58155},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.5309871},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5241799},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.51606244},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5101695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47281232},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4720467},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4214123},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37758058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17314768},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09287983},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08352795},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","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},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-010-0349-7","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.3847","pdf_url":"http://www.lix.polytechnique.fr/~liberti/colgen-mpa.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.3847","pdf_url":"http://www.lix.polytechnique.fr/~liberti/colgen-mpa.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":71,"referenced_works":["https://openalex.org/W1487962609","https://openalex.org/W1488413262","https://openalex.org/W1489608363","https://openalex.org/W1494730498","https://openalex.org/W1510884249","https://openalex.org/W1574017177","https://openalex.org/W1578468649","https://openalex.org/W1603665682","https://openalex.org/W1967956032","https://openalex.org/W1983989808","https://openalex.org/W1992419399","https://openalex.org/W1997713127","https://openalex.org/W1998473728","https://openalex.org/W2001619934","https://openalex.org/W2008730542","https://openalex.org/W2010334716","https://openalex.org/W2010656511","https://openalex.org/W2015024493","https://openalex.org/W2016381774","https://openalex.org/W2029242918","https://openalex.org/W2030912188","https://openalex.org/W2032362850","https://openalex.org/W2037744768","https://openalex.org/W2038320188","https://openalex.org/W2038661427","https://openalex.org/W2038700684","https://openalex.org/W2042484140","https://openalex.org/W2061874589","https://openalex.org/W2061933243","https://openalex.org/W2064948689","https://openalex.org/W2065704444","https://openalex.org/W2066261972","https://openalex.org/W2069657950","https://openalex.org/W2069808690","https://openalex.org/W2072431374","https://openalex.org/W2073503732","https://openalex.org/W2077410003","https://openalex.org/W2081490466","https://openalex.org/W2082662769","https://openalex.org/W2086959852","https://openalex.org/W2088243692","https://openalex.org/W2089343684","https://openalex.org/W2091283109","https://openalex.org/W2091292848","https://openalex.org/W2100485099","https://openalex.org/W2100581751","https://openalex.org/W2103718624","https://openalex.org/W2117067575","https://openalex.org/W2123496439","https://openalex.org/W2127218421","https://openalex.org/W2131929195","https://openalex.org/W2134092250","https://openalex.org/W2137340484","https://openalex.org/W2140405352","https://openalex.org/W2149596792","https://openalex.org/W2155850117","https://openalex.org/W2160197181","https://openalex.org/W2163428398","https://openalex.org/W2167297928","https://openalex.org/W2171103562","https://openalex.org/W2243346488","https://openalex.org/W2313958064","https://openalex.org/W2415715393","https://openalex.org/W2506488269","https://openalex.org/W2605298598","https://openalex.org/W2775652543","https://openalex.org/W2895397838","https://openalex.org/W2913066018","https://openalex.org/W3120740533","https://openalex.org/W4255469293","https://openalex.org/W4292478130"],"related_works":["https://openalex.org/W4382618745","https://openalex.org/W2885125400","https://openalex.org/W2743976221","https://openalex.org/W2595172197","https://openalex.org/W2084856301","https://openalex.org/W1989889224","https://openalex.org/W1987128138","https://openalex.org/W1769094419","https://openalex.org/W1657880117","https://openalex.org/W1001352512"],"abstract_inverted_index":{"Given":[0],"a":[1,73,81],"set":[2,19],"of":[3,26,35,61,67,71,98,107],"entities":[4],"associated":[5],"with":[6,75,109],"points":[7],"in":[8,16,53],"Euclidean":[9],"space,":[10],"minimum":[11],"sum-of-squares":[12],"clustering":[13],"(MSSC)":[14],"consists":[15],"partitioning":[17],"this":[18,86],"into":[20],"clusters":[21],"such":[22],"that":[23,62],"the":[24,33,65,68,96,99],"sum":[25],"squared":[27],"distances":[28],"from":[29],"each":[30],"point":[31],"to":[32,84,104],"centroid":[34],"its":[36],"cluster":[37],"is":[38,64],"minimized.":[39],"A":[40],"column":[41,74],"generation":[42],"algorithm":[43,63,101],"for":[44],"MSSC":[45],"was":[46],"given":[47],"by":[48],"du":[49],"Merle":[50],"et":[51],"al.":[52],"SIAM":[54],"Journal":[55],"Scientific":[56],"Computing":[57],"21:1485\u20131505.":[58],"The":[59],"bottleneck":[60],"resolution":[66],"auxiliary":[69,87],"problem":[70,88],"finding":[72],"negative":[76],"reduced":[77],"cost.":[78],"We":[79],"propose":[80],"new":[82],"way":[83],"solve":[85],"based":[89],"on":[90],"geometric":[91],"arguments.":[92],"This":[93],"greatly":[94],"improves":[95],"efficiency":[97],"whole":[100],"and":[102],"leads":[103],"exact":[105],"solution":[106],"instances":[108],"over":[110],"2,300":[111],"entities,":[112],"i.e.,":[113],"more":[114],"than":[115],"10":[116],"times":[117],"as":[118,120],"much":[119],"previously":[121],"done.":[122]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2170006979","counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2024-11-21T10:55:18.763040","created_date":"2016-06-24"}