{"id":"https://openalex.org/W2941323067","doi":"https://doi.org/10.1109/tpami.2019.2912970","title":"Absolute Cluster Validity","display_name":"Absolute Cluster Validity","publication_year":2019,"publication_date":"2019-04-27","ids":{"openalex":"https://openalex.org/W2941323067","doi":"https://doi.org/10.1109/tpami.2019.2912970","mag":"2941323067","pmid":"https://pubmed.ncbi.nlm.nih.gov/31027043"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2019.2912970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2019.2912970","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5061037506","display_name":"F\u00e9lix Iglesias","orcid":"https://orcid.org/0000-0001-6081-969X"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Felix Iglesias","raw_affiliation_strings":["Institute of Telecommunications, Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-6081-969X","affiliations":[{"raw_affiliation_string":"Institute of Telecommunications, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015779165","display_name":"Tanja Zseby","orcid":"https://orcid.org/0000-0002-5391-467X"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Tanja Zseby","raw_affiliation_strings":["Institute of Telecommunications, Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-5391-467X","affiliations":[{"raw_affiliation_string":"Institute of Telecommunications, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047196019","display_name":"Arthur Zimek","orcid":"https://orcid.org/0000-0001-7713-4208"},"institutions":[{"id":"https://openalex.org/I177969490","display_name":"University of Southern Denmark","ror":"https://ror.org/03yrrjy16","country_code":"DK","type":"education","lineage":["https://openalex.org/I177969490"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Arthur Zimek","raw_affiliation_strings":["Department of Mathematics and Computer Science (IMADA), University of Southern Denmark (SDU), Odense, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-7713-4208","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science (IMADA), University of Southern Denmark (SDU), Odense, Denmark","institution_ids":["https://openalex.org/I177969490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.259,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.90737601,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"42","issue":"9","first_page":"2096","last_page":"2112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9891999959945679,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.8504441976547241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7522101402282715},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.6204406023025513},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5876224040985107},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5607945919036865},{"id":"https://openalex.org/keywords/rand-index","display_name":"Rand index","score":0.4919271469116211},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.4301835894584656},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.42913568019866943},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4069715440273285},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3941021263599396}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8504441976547241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7522101402282715},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.6204406023025513},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5876224040985107},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5607945919036865},{"id":"https://openalex.org/C111442797","wikidata":"https://www.wikidata.org/wiki/Q7291446","display_name":"Rand index","level":3,"score":0.4919271469116211},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.4301835894584656},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.42913568019866943},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4069715440273285},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3941021263599396},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2019.2912970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2019.2912970","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:31027043","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31027043","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:sdu.dk:openaire_cris_publications/6cfc1456-3f7b-4cdb-a40f-cca8ec56df9f","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/6cfc1456-3f7b-4cdb-a40f-cca8ec56df9f","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Iglesias Vazquez, F, Zseby, T & Zimek, A 2020, 'Absolute Cluster Validity', IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 42, no. 9, pp. 2096-2112. https://doi.org/10.1109/TPAMI.2019.2912970","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W105550267","https://openalex.org/W632121358","https://openalex.org/W1573605934","https://openalex.org/W1576534100","https://openalex.org/W1775772884","https://openalex.org/W1971784203","https://openalex.org/W1975152892","https://openalex.org/W1978527081","https://openalex.org/W1979180910","https://openalex.org/W1983753875","https://openalex.org/W1985059878","https://openalex.org/W1987111416","https://openalex.org/W1987971958","https://openalex.org/W1996747841","https://openalex.org/W1997944350","https://openalex.org/W2014078900","https://openalex.org/W2015887370","https://openalex.org/W2017803656","https://openalex.org/W2021101795","https://openalex.org/W2033034069","https://openalex.org/W2040991128","https://openalex.org/W2043847415","https://openalex.org/W2050913223","https://openalex.org/W2051224630","https://openalex.org/W2053677366","https://openalex.org/W2072464976","https://openalex.org/W2077061001","https://openalex.org/W2085487226","https://openalex.org/W2095445014","https://openalex.org/W2100723321","https://openalex.org/W2103633133","https://openalex.org/W2104312285","https://openalex.org/W2108323654","https://openalex.org/W2113586398","https://openalex.org/W2118020555","https://openalex.org/W2118434852","https://openalex.org/W2129066856","https://openalex.org/W2132377940","https://openalex.org/W2137206388","https://openalex.org/W2145721327","https://openalex.org/W2150753219","https://openalex.org/W2156617549","https://openalex.org/W2162506329","https://openalex.org/W2168532736","https://openalex.org/W2171975443","https://openalex.org/W2173492235","https://openalex.org/W2180566385","https://openalex.org/W2256030746","https://openalex.org/W2319660501","https://openalex.org/W2404761718","https://openalex.org/W2405818311","https://openalex.org/W2408186052","https://openalex.org/W2432267564","https://openalex.org/W2607137685","https://openalex.org/W2884586244","https://openalex.org/W3083424454","https://openalex.org/W4233014035","https://openalex.org/W4242401062","https://openalex.org/W6638021444","https://openalex.org/W6676047094","https://openalex.org/W6681375728","https://openalex.org/W6682346614","https://openalex.org/W6692446589","https://openalex.org/W6713240304","https://openalex.org/W6713258757"],"related_works":["https://openalex.org/W4385437088","https://openalex.org/W2112801327","https://openalex.org/W4312201980","https://openalex.org/W2000077490","https://openalex.org/W4205940116","https://openalex.org/W2752973482","https://openalex.org/W1537413002","https://openalex.org/W2949329924","https://openalex.org/W4386467284","https://openalex.org/W3024789140"],"abstract_inverted_index":{"The":[0,13],"application":[1,166],"of":[2,7,15,113,121,130,163,190],"clustering":[3,16,84,114,165,171],"involves":[4],"the":[5,23,122,131,161,164,188],"interpretation":[6,129],"objects":[8],"placed":[9],"in":[10],"multi-dimensional":[11],"spaces.":[12],"task":[14],"itself":[17],"is":[18,65,172,182],"inherently":[19],"submitted":[20],"to":[21,30,67,81,98],"subjectivity,":[22],"optimal":[24],"solution":[25,123],"can":[26],"be":[27],"extremely":[28],"costly":[29],"discover":[31],"and":[32,45,70,125,140,144,150,184],"sometimes":[33],"even":[34],"unreachable":[35],"or":[36],"nonexistent.":[37],"This":[38],"fact":[39],"introduces":[40],"a":[41,91,106,127,176],"trade-off":[42],"between":[43],"accuracy":[44],"computational":[46],"effort,":[47],"moreover":[48],"given":[49],"that":[50,72,109,156],"engineering":[51],"applications":[52],"usually":[53],"work":[54],"well":[55],"with":[56,90,152,193],"suboptimal":[57],"solutions.":[58],"In":[59,101],"such":[60],"applied":[61],"scenarios,":[62],"cluster":[63],"validation":[64,107,158],"mandatory":[66],"refine":[68],"algorithms":[69],"ensure":[71],"solutions":[73],"are":[74,78,88],"meaningful.":[75],"Validity":[76],"indices":[77,136,154],"commonly":[79],"intended":[80],"benchmark":[82],"diverse":[83],"setups,":[85],"therefore":[86,185],"they":[87],"coefficients":[89],"relative":[92],"nature,":[93],"i.e.,":[94],"useful":[95],"when":[96],"compared":[97],"one":[99],"another.":[100],"this":[102],"paper,":[103],"we":[104],"propose":[105],"methodology":[108,159],"enables":[110],"absolute":[111],"evaluations":[112],"results.":[115],"Our":[116],"method":[117],"performs":[118],"geometric":[119],"measurements":[120],"space":[124],"provides":[126],"coherent":[128],"data":[132],"structure":[133],"by":[134],"using":[135],"based":[137],"on":[138],"inter-":[139],"intra-cluster":[141],"distances,":[142],"density,":[143],"multimodality":[145],"within":[146],"clusters.":[147],"Conducted":[148],"tests":[149],"comparisons":[151],"well-known":[153],"show":[155],"our":[157,180],"improves":[160],"robustness":[162],"for":[167,187],"knowledge":[168],"discovery.":[169],"While":[170],"often":[173],"performed":[174],"as":[175],"black":[177],"box":[178],"technique,":[179],"index":[181],"construable":[183],"allows":[186],"implementation":[189],"systems":[191],"enriched":[192],"self-checking":[194],"capabilities.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
