{"id":"https://openalex.org/W2520087131","doi":"https://doi.org/10.5555/2946645.3007096","title":"Covariance-based clustering in multivariate and functional data analysis","display_name":"Covariance-based clustering in multivariate and functional data analysis","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2520087131","doi":"https://doi.org/10.5555/2946645.3007096","mag":"2520087131"},"language":"en","primary_location":{"id":"pmh:oai:re.public.polimi.it:11311/997940","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/997940","pdf_url":"http://hdl.handle.net/11311/997940","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11311/997940","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082171979","display_name":"Francesca Ieva","orcid":"https://orcid.org/0000-0003-0165-1983","observed_orcids":["https://orcid.org/0000-0003-0165-1983"]},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesca Ieva","raw_affiliation_strings":["Department of Mathematics F. Enriques, Universit\u00e0 degli Studi di Milano, Milano, Italy#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-0165-1983","affiliations":[{"raw_affiliation_string":"Department of Mathematics F. Enriques, Universit\u00e0 degli Studi di Milano, Milano, Italy#TAB#","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057175197","display_name":"Anna Maria Paganoni","orcid":"https://orcid.org/0000-0002-8253-3630","observed_orcids":["https://orcid.org/0000-0002-8253-3630"]},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Maria Paganoni","raw_affiliation_strings":["Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Milano, Italy#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-8253-3630","affiliations":[{"raw_affiliation_string":"Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Milano, Italy#TAB#","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083420291","display_name":"Nicholas Tarabelloni","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicholas Tarabelloni","raw_affiliation_strings":["Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Milano, Italy#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Milano, Italy#TAB#","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9507,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.80274643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"17","issue":"1","first_page":"4985","last_page":"5005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.8784000277519226,"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":0.8784000277519226,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.07680000364780426,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.02669999934732914,"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/functional-data-clustering","display_name":"functional data clustering","score":0.8169999718666077},{"id":"https://openalex.org/keywords/covariance-operator","display_name":"covariance operator","score":0.8569999933242798},{"id":"https://openalex.org/keywords/heuristic-clustering-algorithm","display_name":"heuristic clustering algorithm","score":0.6859999895095825},{"id":"https://openalex.org/keywords/convergence-properties","display_name":"convergence properties","score":0.7950000166893005},{"id":"https://openalex.org/keywords/computational-cost","display_name":"computational cost","score":0.7950000166893005},{"id":"https://openalex.org/keywords/covariance-matrix-estimation","display_name":"covariance matrix estimation","score":0.8420000076293945},{"id":"https://openalex.org/keywords/biomedical-data","display_name":"biomedical data","score":0.7429999709129333}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7618993520736694},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6796485185623169},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.648313045501709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.589664876461029},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5730919241905212},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5289029479026794},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.45437711477279663},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4328053891658783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3300448954105377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31214573979377747},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.256904661655426},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23791813850402832},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1573772430419922},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:re.public.polimi.it:11311/997940","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/997940","pdf_url":"http://hdl.handle.net/11311/997940","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2520087131","doi":null,"is_oa":false,"landing_page_url":"https://jmlr.org/papers/volume17/15-568/15-568.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S118988714","display_name":"Journal of Machine Learning Research","issn_l":"1532-4435","issn":["1532-4435","1533-7928"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Machine Learning Research","raw_type":null},{"id":"mag:3015826757","doi":"https://doi.org/10.5555/2946645.3007096","is_oa":false,"landing_page_url":"https://dl.acm.org/doi/10.5555/2946645.3007096","pdf_url":null,"source":{"id":"https://openalex.org/S118988714","display_name":"Journal of Machine Learning Research","issn_l":"1532-4435","issn":["1532-4435","1533-7928"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Machine Learning Research","raw_type":null}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/997940","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/997940","pdf_url":"http://hdl.handle.net/11311/997940","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2520087131.pdf","grobid_xml":"https://content.openalex.org/works/W2520087131.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W621923488","https://openalex.org/W1419241926","https://openalex.org/W1598266570","https://openalex.org/W1990512452","https://openalex.org/W1998819367","https://openalex.org/W2001262493","https://openalex.org/W2050465000","https://openalex.org/W2060190359","https://openalex.org/W2062125287","https://openalex.org/W2081179492","https://openalex.org/W2165133998","https://openalex.org/W2165408259","https://openalex.org/W2913066018","https://openalex.org/W3021971632","https://openalex.org/W4240782261"],"related_works":["https://openalex.org/W4387380396","https://openalex.org/W7160930861","https://openalex.org/W2952298326","https://openalex.org/W2000526324","https://openalex.org/W7137663775","https://openalex.org/W4297947440","https://openalex.org/W1983908352","https://openalex.org/W6991313864","https://openalex.org/W2443279102","https://openalex.org/W3036937360"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,70,81],"propose":[4,71,92],"a":[5,34,72,76,108,134,140],"new":[6],"algorithm":[7,31,65,126],"to":[8,93,114,129,153],"perform":[9],"clustering":[10],"of":[11,19,37,44,62,101,104,118,124,148],"multivariate":[12],"and":[13,47,80,133],"functional":[14,105],"data.We":[15],"study":[16,82],"the":[17,40,45,54,99,116,119,122,146],"case":[18],"two":[20,51],"populations":[21],"different":[22],"in":[23,28,50,112],"their":[24,29,57],"covariances,":[25],"rather":[26],"than":[27],"means.The":[30],"relies":[32],"on":[33],"proper":[35],"quantification":[36],"distance":[38,55],"between":[39,56],"estimated":[41],"covariance":[42],"operators":[43],"populations,":[46],"subdivides":[48],"data":[49,132,136],"groups":[52],"maximising":[53],"induced":[58],"covariances.The":[59],"naive":[60],"implementation":[61],"such":[63],"an":[64,95],"is":[66],"computationally":[67],"forbidding,":[68],"so":[69],"heuristic":[73],"formulation":[74],"with":[75,87],"much":[77],"lighter":[78],"complexity":[79],"its":[83,88],"convergence":[84],"properties,":[85],"along":[86],"computational":[89],"cost.We":[90],"also":[91,144],"use":[94,147],"enhanced":[96],"estimator":[97],"for":[98],"estimation":[100,150],"discrete":[102],"covariances":[103],"data,":[106],"namely":[107],"linear":[109],"shrinkage":[110,149],"estimator,":[111],"order":[113],"improve":[115],"precision":[117],"clustering.We":[120],"establish":[121],"effectiveness":[123],"our":[125],"through":[127],"applications":[128],"both":[130],"synthetic":[131],"real":[135],"set":[137],"coming":[138],"from":[139],"biomedical":[141],"context,":[142],"showing":[143],"how":[145],"may":[151],"lead":[152],"substantially":[154],"better":[155],"results.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-09-23T00:00:00"}
