{"id":"https://openalex.org/W2621856777","doi":"https://doi.org/10.1007/s00357-017-9231-0","title":"On Strategies to Fix Degenerate k-means Solutions","display_name":"On Strategies to Fix Degenerate k-means Solutions","publication_year":2017,"publication_date":"2017-06-10","ids":{"openalex":"https://openalex.org/W2621856777","doi":"https://doi.org/10.1007/s00357-017-9231-0","mag":"2621856777"},"language":"en","primary_location":{"id":"doi:10.1007/s00357-017-9231-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00357-017-9231-0","pdf_url":null,"source":{"id":"https://openalex.org/S73028643","display_name":"Journal of Classification","issn_l":"0176-4268","issn":["0176-4268","1432-1343"],"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":"Journal of Classification","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/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 Engineering, Polytechnique Montr\u00e9al, Montr\u00e9al, Canada","Polytechnique Montr\u00e9al, Montr\u00e9al, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Polytechnique Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Polytechnique Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022087876","display_name":"Nielsen Castelo Damasceno","orcid":null},"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":false,"raw_author_name":"Nielsen Castelo Damasceno","raw_affiliation_strings":["Federal University of Rio Grande do Norte, do Norte, Rio Grande, Brazil"],"affiliations":[{"raw_affiliation_string":"Federal University of Rio Grande do Norte, do Norte, Rio Grande, Brazil","institution_ids":["https://openalex.org/I35046152"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029807274","display_name":"Nenad Mladenovi\u0107","orcid":"https://orcid.org/0000-0001-6655-0409"},"institutions":[{"id":"https://openalex.org/I70348806","display_name":"Universit\u00e9 Polytechnique Hauts-de-France","ror":"https://ror.org/02ezch769","country_code":"FR","type":"education","lineage":["https://openalex.org/I70348806"]},{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nenad Mladenovi\u0107","raw_affiliation_strings":["LAMIH, Universit\u00e9 de Valenciennes et du Hainaut Cambr\u00e9sis, Valenciennes, France"],"affiliations":[{"raw_affiliation_string":"LAMIH, Universit\u00e9 de Valenciennes et du Hainaut Cambr\u00e9sis, Valenciennes, France","institution_ids":["https://openalex.org/I70348806","https://openalex.org/I4210089617"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075729890","display_name":"Daniel Nobre Pinheiro","orcid":"https://orcid.org/0000-0001-8196-727X"},"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":false,"raw_author_name":"Daniel Nobre Pinheiro","raw_affiliation_strings":["Federal University of Rio Grande do Norte, do Norte, Rio Grande, Brazil"],"affiliations":[{"raw_affiliation_string":"Federal University of Rio Grande do Norte, do Norte, Rio Grande, Brazil","institution_ids":["https://openalex.org/I35046152"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038720756"],"corresponding_institution_ids":["https://openalex.org/I45683168"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4153,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71277556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"2","first_page":"165","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9977999925613403,"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":0.9977999925613403,"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":"Data Management and Algorithms","score":0.9922999739646912,"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 and Expression Recognition","score":0.9908000230789185,"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/degeneracy","display_name":"Degeneracy (biology)","score":0.8646141290664673},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.8597223162651062},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.8380206227302551},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7479910850524902},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7229180335998535},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7065010070800781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6582654118537903},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.5703411102294922},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5364789366722107},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.405150830745697},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3889382481575012},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.382572740316391},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2890774607658386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26263219118118286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.122653067111969},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06469890475273132}],"concepts":[{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.8646141290664673},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.8597223162651062},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8380206227302551},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7479910850524902},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7229180335998535},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7065010070800781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6582654118537903},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5703411102294922},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5364789366722107},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.405150830745697},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3889382481575012},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.382572740316391},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2890774607658386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26263219118118286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.122653067111969},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06469890475273132},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00357-017-9231-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00357-017-9231-0","pdf_url":null,"source":{"id":"https://openalex.org/S73028643","display_name":"Journal of Classification","issn_l":"0176-4268","issn":["0176-4268","1432-1343"],"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":"Journal of Classification","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:64104","is_oa":false,"landing_page_url":null,"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":"NonPeerReviewed"},{"id":"pmh:oai:HAL:hal-03402183v1","is_oa":false,"landing_page_url":"https://uphf.hal.science/hal-03402183","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Classification, 2017, 34 (2), pp.165-190. &#x27E8;10.1007/s00357-017-9231-0&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:jclass:v:34:y:2017:i:2:d:10.1007_s00357-017-9231-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00357-017-9231-0","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:publications.polymtl.ca:38056","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/38056/","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W174941419","https://openalex.org/W1489608363","https://openalex.org/W1496940124","https://openalex.org/W1542270631","https://openalex.org/W1586152823","https://openalex.org/W1611682757","https://openalex.org/W1624140875","https://openalex.org/W1980552542","https://openalex.org/W1983989808","https://openalex.org/W1989830207","https://openalex.org/W1997713127","https://openalex.org/W2002586964","https://openalex.org/W2008732654","https://openalex.org/W2016381774","https://openalex.org/W2024309278","https://openalex.org/W2026589647","https://openalex.org/W2032362850","https://openalex.org/W2033344446","https://openalex.org/W2044466644","https://openalex.org/W2073459066","https://openalex.org/W2073652000","https://openalex.org/W2086959852","https://openalex.org/W2091283109","https://openalex.org/W2091292848","https://openalex.org/W2103718624","https://openalex.org/W2107549039","https://openalex.org/W2127218421","https://openalex.org/W2137340484","https://openalex.org/W2149596792","https://openalex.org/W2150023190","https://openalex.org/W2160197181","https://openalex.org/W2170006979","https://openalex.org/W2214474384","https://openalex.org/W2795679194","https://openalex.org/W2942827234","https://openalex.org/W2979378092","https://openalex.org/W3034843727","https://openalex.org/W3120740533","https://openalex.org/W4206310440","https://openalex.org/W6636657728","https://openalex.org/W6668990524","https://openalex.org/W6686501537"],"related_works":["https://openalex.org/W2125277162","https://openalex.org/W168460013","https://openalex.org/W1552514155","https://openalex.org/W4287687395","https://openalex.org/W2215112080","https://openalex.org/W4386821099","https://openalex.org/W4300428659","https://openalex.org/W4292881691","https://openalex.org/W2955288804","https://openalex.org/W2124225859"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
