{"id":"https://openalex.org/W4378801953","doi":"https://doi.org/10.1080/10618600.2023.2219708","title":"Statistical Significance of Clustering with Multidimensional Scaling","display_name":"Statistical Significance of Clustering with Multidimensional Scaling","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4378801953","doi":"https://doi.org/10.1080/10618600.2023.2219708","pmid":"https://pubmed.ncbi.nlm.nih.gov/39483212"},"language":"en","primary_location":{"id":"doi:10.1080/10618600.2023.2219708","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2023.2219708","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11524530/pdf/nihms-1917966.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102517836","display_name":"Hui Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hui Shen","raw_affiliation_strings":["Department of Statistics and Operations Research, University of North Carolina at Chapel Hill","Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, NC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, NC","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032815468","display_name":"Shankar Bhamidi","orcid":"https://orcid.org/0009-0000-3953-936X"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shankar Bhamidi","raw_affiliation_strings":["Department of Statistics and Operations Research, University of North Carolina at Chapel Hill","Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, NC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, NC","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100376614","display_name":"Yufeng Liu","orcid":"https://orcid.org/0000-0002-1686-0545"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yufeng Liu","raw_affiliation_strings":["Department of Statistics and Operations Research, Department of Genetics, and Department of Biostatistics, Carolina Center for Genome Sciences, Linberger Comprehensive Cancer Center, University of North Carolina at Chapel Hill","Department of Statistics and Operations Research, Department of Genetics, and Department of Biostatistics, Carolina Center for Genome Sciences, Linberger Comprehensive Cancer Center, University of North Carolina at Chapel Hill, Chapel Hill, NC"],"raw_orcid":"https://orcid.org/0000-0002-1686-0545","affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, Department of Genetics, and Department of Biostatistics, Carolina Center for Genome Sciences, Linberger Comprehensive Cancer Center, University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Department of Statistics and Operations Research, Department of Genetics, and Department of Biostatistics, Carolina Center for Genome Sciences, Linberger Comprehensive Cancer Center, University of North Carolina at Chapel Hill, Chapel Hill, NC","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100376614"],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":1.5863,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85579611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"1","first_page":"219","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9980000257492065,"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":0.9980000257492065,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9958999752998352,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9559000134468079,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6552356481552124},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.5446673035621643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49836134910583496},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.44289132952690125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3853859603404999},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36701589822769165},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36132824420928955},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3465588092803955}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6552356481552124},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.5446673035621643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49836134910583496},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.44289132952690125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3853859603404999},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36701589822769165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36132824420928955},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3465588092803955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10618600.2023.2219708","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2023.2219708","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"},{"id":"pmid:39483212","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39483212","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":"Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11524530","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11524530","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11524530/pdf/nihms-1917966.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Comput Graph Stat","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:11524530","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11524530","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11524530/pdf/nihms-1917966.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Comput Graph Stat","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1209886030","display_name":null,"funder_award_id":"R01 GM126550","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G1454603439","display_name":null,"funder_award_id":"DMS-2113662","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G1574901641","display_name":"Dynamic network models: Entrance boundary and continuum scaling limits,  condensation phenomena and probabilistic combinatorial optimization","funder_award_id":"1606839","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1834983772","display_name":null,"funder_award_id":"DMS-2100729","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G2045047160","display_name":null,"funder_award_id":"DMS-2134107","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G2128104804","display_name":"Trustworthy Reinforcement Learning for Online Decision Making","funder_award_id":"2217440","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2183535435","display_name":null,"funder_award_id":"DMS-2113662","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2290275552","display_name":null,"funder_award_id":"1613072","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G2343957700","display_name":"Network Time Series: From Dynamics to Coevolution","funder_award_id":"2113662","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2391149433","display_name":"Iterative testing procedures and high-dimensional scaling limits of extremal random structures","funder_award_id":"1613072","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2551347769","display_name":null,"funder_award_id":"GM126550","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G2944537279","display_name":null,"funder_award_id":"1606839","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3730177570","display_name":null,"funder_award_id":"R01-GM126550","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3811029933","display_name":null,"funder_award_id":"W911NF-17-1-0010","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4133067109","display_name":"RTG: Networks: Foundations in Probability, Optimization, and Data Sciences","funder_award_id":"2134107","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4223711460","display_name":null,"funder_award_id":"2134107","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4626621346","display_name":null,"funder_award_id":"2113662","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6342775795","display_name":null,"funder_award_id":"DMS-1606839","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G6471324540","display_name":null,"funder_award_id":"W911NF-17-1-0010","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8004330269","display_name":null,"funder_award_id":"DMS-2134107","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8226384078","display_name":null,"funder_award_id":"SES-2217440","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G8835321961","display_name":null,"funder_award_id":"DMS-1613072","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320373","display_name":"National Stroke Foundation","ror":"https://ror.org/004ckc033"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4378801953.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W317995076","https://openalex.org/W1128809682","https://openalex.org/W1848939527","https://openalex.org/W1886773798","https://openalex.org/W1943383135","https://openalex.org/W1967997862","https://openalex.org/W1991767154","https://openalex.org/W2011832962","https://openalex.org/W2011978385","https://openalex.org/W2050744541","https://openalex.org/W2069334182","https://openalex.org/W2102330962","https://openalex.org/W2106292881","https://openalex.org/W2121044470","https://openalex.org/W2127218421","https://openalex.org/W2132914434","https://openalex.org/W2139280638","https://openalex.org/W2275877493","https://openalex.org/W2299467264","https://openalex.org/W2319824271","https://openalex.org/W2488678869","https://openalex.org/W2978945505","https://openalex.org/W3043617248","https://openalex.org/W3211977733","https://openalex.org/W4213048988","https://openalex.org/W6640188369"],"related_works":["https://openalex.org/W4200285273","https://openalex.org/W2374778813","https://openalex.org/W1582127415","https://openalex.org/W2012281976","https://openalex.org/W4238212629","https://openalex.org/W141820298","https://openalex.org/W4245539973","https://openalex.org/W2494148009","https://openalex.org/W2314854132","https://openalex.org/W4241372895"],"abstract_inverted_index":{"Clustering":[0],"is":[1,14,39,93,103,126],"a":[2,40,95,112],"fundamental":[3],"tool":[4,45],"for":[5,46,71,195,204],"exploratory":[6,97],"data":[7,82,136,185],"analysis.":[8],"One":[9],"central":[10],"problem":[11],"in":[12,168,177],"clustering":[13,21,37,92,175],"deciding":[15],"if":[16],"the":[17,63,80,86,100,134,141,149,159,165,173,178,189,197,205],"clusters":[18],"discovered":[19],"by":[20],"methods":[22],"are":[23,60,207],"reliable":[24],"as":[25],"opposed":[26],"to":[27,55,79],"being":[28],"artifacts":[29],"of":[30,36,133,161,164,200],"natural":[31],"sampling":[32],"variation.":[33],"Statistical":[34],"significance":[35,199],"(SigClust)":[38],"recently":[41],"developed":[42],"cluster":[43],"evaluation":[44],"high-dimension,":[47],"low-sample":[48],"size":[49],"data.":[50],"Despite":[51],"its":[52],"successful":[53],"application":[54],"many":[56],"scientific":[57],"problems,":[58],"there":[59],"cases":[61],"where":[62],"original":[64,81,101,135,166],"SigClust":[65,102,114,125,147,156],"may":[66,75],"not":[67,76,104],"work":[68],"well.":[69],"Furthermore,":[70],"specific":[72],"applications,":[73],"researchers":[74],"have":[77,85],"access":[78],"and":[83,144,183],"only":[84,140],"dissimilarity":[87,142],"matrix.":[88],"In":[89],"this":[90],"case,":[91],"still":[94],"valuable":[96],"tool,":[98],"but":[99],"applicable.":[105],"To":[106],"address":[107],"these":[108],"issues,":[109],"we":[110],"propose":[111],"new":[113],"method":[115,167,191],"using":[116,139],"multidimensional":[117],"scaling":[118],"(MDS).":[119],"The":[120,153],"underlying":[121],"idea":[122],"behind":[123],"MDS-based":[124,155],"that":[127,188],"one":[128],"can":[129,157],"achieve":[130],"low-dimensional":[131,150],"representations":[132],"via":[137],"MDS":[138,151,179],"matrix":[143],"then":[145],"apply":[146],"on":[148],"space.":[152,180],"proposed":[154,190],"circumvent":[158],"challenge":[160],"parameter":[162],"estimation":[163],"high-dimensional":[169],"spaces":[170],"while":[171],"keeping":[172],"essential":[174],"structure":[176],"Both":[181],"simulations":[182],"real":[184],"applications":[186],"demonstrate":[187],"works":[192],"remarkably":[193],"well":[194],"assessing":[196],"statistical":[198],"clustering.":[201],"Supplemental":[202],"materials":[203],"article":[206],"available":[208],"online.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}