{"id":"https://openalex.org/W1987091338","doi":"https://doi.org/10.1109/tcyb.2013.2273714","title":"Bounded Asymmetrical Student's-t Mixture Model","display_name":"Bounded Asymmetrical Student's-t Mixture Model","publication_year":2013,"publication_date":"2013-07-24","ids":{"openalex":"https://openalex.org/W1987091338","doi":"https://doi.org/10.1109/tcyb.2013.2273714","mag":"1987091338","pmid":"https://pubmed.ncbi.nlm.nih.gov/23893763"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2013.2273714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2273714","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Cybernetics","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/A5100674022","display_name":"Thanh Minh Nguyen","orcid":"https://orcid.org/0000-0002-5813-4437"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Thanh Minh Nguyen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, Canada","[Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, CANADA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, CANADA]","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100731724","display_name":"Q. M. Jonathan Wu","orcid":"https://orcid.org/0000-0002-5208-7975"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Q. M. Jonathan Wu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, Canada","[Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, CANADA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, CANADA]","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74413500"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.295,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92185011,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"44","issue":"6","first_page":"857","last_page":"869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9998999834060669,"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":0.9998999834060669,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9559999704360962,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9351999759674072,"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/mixture-model","display_name":"Mixture model","score":0.8695564270019531},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8504911661148071},{"id":"https://openalex.org/keywords/students-t-distribution","display_name":"Student's t-distribution","score":0.630614697933197},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5641430020332336},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5019540786743164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4768960773944855},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4503003656864166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3790881037712097},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3046070337295532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12150412797927856},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10050562024116516},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.07539254426956177}],"concepts":[{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.8695564270019531},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8504911661148071},{"id":"https://openalex.org/C49232408","wikidata":"https://www.wikidata.org/wiki/Q576072","display_name":"Student's t-distribution","level":4,"score":0.630614697933197},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5641430020332336},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5019540786743164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4768960773944855},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4503003656864166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3790881037712097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3046070337295532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12150412797927856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10050562024116516},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.07539254426956177},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C91602232","wikidata":"https://www.wikidata.org/wiki/Q756115","display_name":"Volatility (finance)","level":2,"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/C23922673","wikidata":"https://www.wikidata.org/wiki/Q180752","display_name":"Autoregressive conditional heteroskedasticity","level":3,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2013.2273714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2273714","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:23893763","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23893763","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 cybernetics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334601","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06"},{"id":"https://openalex.org/F4320338081","display_name":"AUTO21 Network of Centres of Excellence","ror":"https://ror.org/02edexj13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1594563152","https://openalex.org/W1988594964","https://openalex.org/W2015245929","https://openalex.org/W2017236761","https://openalex.org/W2024454299","https://openalex.org/W2037823779","https://openalex.org/W2049633694","https://openalex.org/W2094952625","https://openalex.org/W2096370614","https://openalex.org/W2101047103","https://openalex.org/W2113945798","https://openalex.org/W2117853077","https://openalex.org/W2121927366","https://openalex.org/W2129967410","https://openalex.org/W2130686832","https://openalex.org/W2135705692","https://openalex.org/W2136573752","https://openalex.org/W2137971377","https://openalex.org/W2152595235","https://openalex.org/W2159834125","https://openalex.org/W2166329820","https://openalex.org/W2166362601","https://openalex.org/W2171324559","https://openalex.org/W2488678869","https://openalex.org/W2594639291","https://openalex.org/W3129711340","https://openalex.org/W4230920194","https://openalex.org/W4244083836","https://openalex.org/W4298266977","https://openalex.org/W4388297464","https://openalex.org/W6682708161"],"related_works":["https://openalex.org/W1578916557","https://openalex.org/W1987091338","https://openalex.org/W2043517840","https://openalex.org/W1588485116","https://openalex.org/W2030109968","https://openalex.org/W2804389401","https://openalex.org/W1969050958","https://openalex.org/W2235479813","https://openalex.org/W3151694373","https://openalex.org/W3121421985"],"abstract_inverted_index":{"The":[0,60],"finite":[1,73],"mixture":[2,19,77,87,168],"model":[3,20,78,88,135,143,157],"based":[4],"on":[5,184],"the":[6,17,38,51,63,82,85,103,133,144,156,162,181,185,194],"Student's-t":[7,39,76,86,104,163,195],"distribution,":[8],"which":[9,80],"is":[10,22,41,93,112,136],"heavily":[11],"tailed":[12],"and":[13,25,33,43,56,84,126,190],"more":[14],"robust":[15],"than":[16],"Gaussian":[18],"(GMM),":[21],"a":[23],"flexible":[24,114],"powerful":[26],"tool":[27],"to":[28,115,154,179,205],"address":[29],"many":[30,49],"computer":[31],"vision":[32],"pattern":[34],"recognition":[35],"problems.":[36],"However,":[37],"distribution":[40,61,105,111],"unbounded":[42],"symmetrical":[44],"around":[45],"its":[46,140],"mean.":[47],"In":[48,152],"applications,":[50],"observed":[52,64,120,145],"data":[53,65,146,186],"are":[54],"digitalized":[55],"have":[57],"bounded":[58,74,127,149],"support.":[59],"of":[62,102,119,132,139,169],"usually":[66],"has":[67,202],"an":[68,100,166,174,198],"asymmetric":[69],"form.":[70],"A":[71],"new":[72,110],"asymmetrical":[75],"(BASMM),":[79],"includes":[81],"GMM":[83],"(SMM)":[89],"as":[90,123,165],"special":[91],"cases,":[92],"presented":[94],"in":[95,106,177],"this":[96,107],"paper.":[97,108],"We":[98,172],"propose":[99,173],"extension":[101],"This":[109],"sufficiently":[113],"fit":[116],"different":[117,148],"shapes":[118],"data,":[121],"such":[122],"non-Gaussian,":[124],"nonsymmetric,":[125],"support":[128,150],"data.":[129],"Another":[130],"advantage":[131],"proposed":[134],"that":[137],"each":[138],"components":[141],"can":[142],"with":[147,193,208],"regions.":[151],"order":[153,178],"estimate":[155],"parameters,":[158],"previous":[159],"models":[160],"represent":[161],"distributions":[164],"infinite":[167],"scaled":[170],"Gaussians.":[171],"alternate":[175],"approach":[176],"minimize":[180],"higher":[182],"bound":[183],"negative":[187],"log-likelihood":[188],"function,":[189],"directly":[191],"deal":[192],"distribution.":[196],"As":[197],"application,":[199],"our":[200],"method":[201],"been":[203],"applied":[204],"image":[206],"segmentation":[207],"promising":[209],"results.":[210]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}