{"id":"https://openalex.org/W3043639995","doi":"https://doi.org/10.1080/10618600.2020.1796398","title":"<i>U</i>-Statistical Inference for Hierarchical Clustering","display_name":"<i>U</i>-Statistical Inference for Hierarchical Clustering","publication_year":2020,"publication_date":"2020-07-20","ids":{"openalex":"https://openalex.org/W3043639995","doi":"https://doi.org/10.1080/10618600.2020.1796398","mag":"3043639995"},"language":"en","primary_location":{"id":"doi:10.1080/10618600.2020.1796398","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2020.1796398","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","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/A5000485775","display_name":"M\u00e1rcio Valk","orcid":"https://orcid.org/0000-0002-5218-648X"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcio Valk","raw_affiliation_strings":["Department of Statistics, Federal University of Rio Grande do Sul, Porto Alegre, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Federal University of Rio Grande do Sul, Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065778736","display_name":"Gabriela Bettella Cybis","orcid":"https://orcid.org/0000-0002-2791-6735"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Gabriela Bettella Cybis","raw_affiliation_strings":["Department of Statistics, Federal University of Rio Grande do Sul, Porto Alegre, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Federal University of Rio Grande do Sul, Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065778736"],"corresponding_institution_ids":["https://openalex.org/I130442723"],"apc_list":null,"apc_paid":null,"fwci":0.3977,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68303446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"30","issue":"1","first_page":"133","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9987000226974487,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9987000226974487,"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/T10885","display_name":"Gene expression and cancer classification","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9894999861717224,"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/cluster-analysis","display_name":"Cluster analysis","score":0.7917261123657227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6578215956687927},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.587405800819397},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.5056519508361816},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.47033295035362244},{"id":"https://openalex.org/keywords/hierarchical-clustering","display_name":"Hierarchical clustering","score":0.46821215748786926},{"id":"https://openalex.org/keywords/consensus-clustering","display_name":"Consensus clustering","score":0.4345461130142212},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.41329073905944824},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4114747941493988},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.37844541668891907},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.36916452646255493},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3547576069831848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22994768619537354},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21637141704559326}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7917261123657227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6578215956687927},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.587405800819397},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.5056519508361816},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.47033295035362244},{"id":"https://openalex.org/C92835128","wikidata":"https://www.wikidata.org/wiki/Q1277447","display_name":"Hierarchical clustering","level":3,"score":0.46821215748786926},{"id":"https://openalex.org/C186767784","wikidata":"https://www.wikidata.org/wiki/Q5162841","display_name":"Consensus clustering","level":5,"score":0.4345461130142212},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.41329073905944824},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4114747941493988},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.37844541668891907},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.36916452646255493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3547576069831848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22994768619537354},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21637141704559326}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10618600.2020.1796398","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2020.1796398","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4086832003","display_name":null,"funder_award_id":"Edital 01/2017","funder_id":"https://openalex.org/F4320327890","funder_display_name":"Instituto Serrapilheira"},{"id":"https://openalex.org/G882981121","display_name":null,"funder_award_id":"Serra-G1709-18939","funder_id":"https://openalex.org/F4320327890","funder_display_name":"Instituto Serrapilheira"}],"funders":[{"id":"https://openalex.org/F4320327890","display_name":"Instituto Serrapilheira","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W317995076","https://openalex.org/W1491391313","https://openalex.org/W1528177290","https://openalex.org/W1586499019","https://openalex.org/W1782590233","https://openalex.org/W1991767154","https://openalex.org/W2011277562","https://openalex.org/W2011978385","https://openalex.org/W2018840144","https://openalex.org/W2067267763","https://openalex.org/W2069334182","https://openalex.org/W2102330962","https://openalex.org/W2106292881","https://openalex.org/W2130714055","https://openalex.org/W2132619562","https://openalex.org/W2133707124","https://openalex.org/W2141042406","https://openalex.org/W2179560206","https://openalex.org/W2183474765","https://openalex.org/W2567289819","https://openalex.org/W2760775332","https://openalex.org/W3101813170","https://openalex.org/W4234552994","https://openalex.org/W4235169531"],"related_works":["https://openalex.org/W2556490192","https://openalex.org/W2361242132","https://openalex.org/W3071522575","https://openalex.org/W2892323093","https://openalex.org/W2353443653","https://openalex.org/W2406185607","https://openalex.org/W2626264717","https://openalex.org/W2067669858","https://openalex.org/W4231226332","https://openalex.org/W2070154563"],"abstract_inverted_index":{"Clustering":[0],"methods":[1,60,161,178],"are":[2,162,189],"valuable":[3],"tools":[4],"for":[5,80,176,186],"the":[6,67,82,92],"identification":[7],"of":[8,78,94,108,136],"patterns":[9],"in":[10,15,22,49,134,156,165,181],"high-dimensional":[11],"data":[12],"with":[13,31],"applications":[14,167],"many":[16],"scientific":[17],"fields.":[18],"However,":[19],"quantifying":[20],"uncertainty":[21],"clustering":[23,43,50,98,128],"is":[24,52,91,141,179],"a":[25,40,75,95,109,119,124],"challenging":[26],"problem,":[27],"particularly":[28],"when":[29],"dealing":[30],"high-dimension":[32],"low":[33],"sample":[34],"size":[35],"(HDLSS)":[36],"data.":[37],"We":[38],"develop":[39,113],"U-statistics":[41],"based":[42],"approach":[44,140],"that":[45],"assesses":[46],"statistical":[47,151],"significance":[48,97,127],"and":[51,69,112,130,146],"specifically":[53],"tailored":[54],"to":[55,74,148,171],"HDLSS":[56],"scenarios.":[57],"These":[58],"nonparametric":[59],"rely":[61],"on":[62],"very":[63],"few":[64],"assumptions":[65],"about":[66],"data,":[68],"thus":[70],"can":[71],"be":[72],"applied":[73],"wide":[76],"range":[77],"datasets":[79],"which":[81],"Euclidean":[83],"distance":[84],"captures":[85],"relevant":[86,110],"features.":[87],"Our":[88,139,160],"main":[89],"result":[90],"development":[93],"hierarchical":[96],"method.":[99],"To":[100],"do":[101],"so,":[102],"we":[103,122],"first":[104],"introduce":[105],"an":[106],"extension":[107],"U-statistic":[111],"its":[114,132],"asymptotic":[115],"theory.":[116],"Additionally,":[117],"as":[118],"preliminary":[120],"step,":[121],"propose":[123],"binary":[125],"nonnested":[126],"method":[129],"show":[131],"optimality":[133],"terms":[135],"expected":[137],"values.":[138],"tested":[142],"through":[143],"multiple":[144],"simulations":[145],"found":[147],"have":[149],"more":[150],"power":[152],"than":[153],"competing":[154],"alternatives":[155],"all":[157],"scenarios":[158],"considered.":[159],"further":[163],"showcased":[164],"three":[166],"ranging":[168],"from":[169],"genetics":[170],"image":[172],"recognition":[173],"problems.":[174],"Code":[175],"these":[177],"available":[180,190],"R-package":[182],"uclust.":[183],"Supplementary":[184],"materials":[185],"this":[187],"article":[188],"online.":[191]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
