{"id":"https://openalex.org/W322150642","doi":"https://doi.org/10.1109/tpami.2015.2498935","title":"Variational Inference for Watson Mixture Model","display_name":"Variational Inference for Watson Mixture Model","publication_year":2015,"publication_date":"2015-11-09","ids":{"openalex":"https://openalex.org/W322150642","doi":"https://doi.org/10.1109/tpami.2015.2498935","mag":"322150642","pmid":"https://pubmed.ncbi.nlm.nih.gov/26571512"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2015.2498935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2015.2498935","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/A5007791793","display_name":"Jalil Taghia","orcid":"https://orcid.org/0000-0001-8880-1168"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Jalil Taghia","raw_affiliation_strings":["School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden","[School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"[School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden]","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061049272","display_name":"Arne Leijon","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Arne Leijon","raw_affiliation_strings":["School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden","[School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"[School of Electrical Engineering, Communication Theory Lab., KTH Royal Institute of Technology, Stockholm, Sweden]","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007791793"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":3.573,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.93322997,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"9","first_page":"1886","last_page":"1900"},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9970999956130981,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5707699060440063},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5616879463195801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5588501691818237},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.47848838567733765},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.4360729455947876},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.4221607446670532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41716158390045166},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36974436044692993},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3622312545776367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33070987462997437},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.2924855947494507}],"concepts":[{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5707699060440063},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5616879463195801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5588501691818237},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.47848838567733765},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.4360729455947876},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.4221607446670532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41716158390045166},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36974436044692993},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3622312545776367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33070987462997437},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.2924855947494507}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tpami.2015.2498935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2015.2498935","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:26571512","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26571512","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}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W165956390","https://openalex.org/W285277413","https://openalex.org/W1513873506","https://openalex.org/W1514329737","https://openalex.org/W1516111018","https://openalex.org/W1522930108","https://openalex.org/W1534417711","https://openalex.org/W1663973292","https://openalex.org/W1705521864","https://openalex.org/W1755563775","https://openalex.org/W1769049279","https://openalex.org/W1876052200","https://openalex.org/W1981463705","https://openalex.org/W1987906574","https://openalex.org/W1991082011","https://openalex.org/W2015952588","https://openalex.org/W2016155919","https://openalex.org/W2020125737","https://openalex.org/W2027884847","https://openalex.org/W2031583051","https://openalex.org/W2031988475","https://openalex.org/W2042281163","https://openalex.org/W2043216213","https://openalex.org/W2047992716","https://openalex.org/W2048918663","https://openalex.org/W2061095207","https://openalex.org/W2067584370","https://openalex.org/W2073856445","https://openalex.org/W2078249088","https://openalex.org/W2083599041","https://openalex.org/W2084008613","https://openalex.org/W2096556160","https://openalex.org/W2098084154","https://openalex.org/W2098723113","https://openalex.org/W2100268885","https://openalex.org/W2101054411","https://openalex.org/W2102591969","https://openalex.org/W2103453943","https://openalex.org/W2109970232","https://openalex.org/W2115159360","https://openalex.org/W2115979064","https://openalex.org/W2128925311","https://openalex.org/W2135951244","https://openalex.org/W2137843911","https://openalex.org/W2139036408","https://openalex.org/W2140440049","https://openalex.org/W2145001205","https://openalex.org/W2146146065","https://openalex.org/W2150926065","https://openalex.org/W2165011536","https://openalex.org/W2165072487","https://openalex.org/W2288558552","https://openalex.org/W2478027467","https://openalex.org/W2912081450","https://openalex.org/W2954040150","https://openalex.org/W3099640513","https://openalex.org/W3104015825","https://openalex.org/W4205778870","https://openalex.org/W4212863985","https://openalex.org/W4242849907","https://openalex.org/W4246202668","https://openalex.org/W4250589301","https://openalex.org/W4292691288","https://openalex.org/W6630627665","https://openalex.org/W6631307971","https://openalex.org/W6637940469","https://openalex.org/W6674643302","https://openalex.org/W6677875524","https://openalex.org/W6680615371","https://openalex.org/W6682124274"],"related_works":["https://openalex.org/W2776613281","https://openalex.org/W2070797946","https://openalex.org/W3087071515","https://openalex.org/W4283077537","https://openalex.org/W2999603699","https://openalex.org/W2902858271","https://openalex.org/W2464065341","https://openalex.org/W2947536360","https://openalex.org/W3086697448","https://openalex.org/W1987558550"],"abstract_inverted_index":{"This":[0,23],"paper":[1],"addresses":[2],"modelling":[3],"data":[4,198],"using":[5],"the":[6,15,49,106,113,117,125,148,182,188],"Watson":[7,10,102,185],"distribution.":[8],"The":[9,140],"distribution":[11,24],"is":[12,41,81,109,129],"one":[13],"of":[14,54,119,181,190],"simplest":[16],"distributions":[17,186],"for":[18,65,75,101],"analyzing":[19],"axially":[20],"symmetric":[21],"data.":[22],"has":[25],"gained":[26],"some":[27],"attention":[28],"in":[29,47,133,187],"recent":[30],"years":[31],"due":[32,44],"to":[33,45,111,135],"its":[34,38,166],"modeling":[35,183],"capability.":[36],"However,":[37,68],"Bayesian":[39],"inference":[40,88,100],"fairly":[42],"understudied":[43],"difficulty":[46],"handling":[48],"normalization":[50],"factor.":[51],"Recent":[52],"development":[53],"Markov":[55],"chain":[56],"Monte":[57],"Carlo":[58],"(MCMC)":[59],"sampling":[60],"methods":[61,70,85],"can":[62,71,164],"be":[63,72],"applied":[64],"this":[66,94],"purpose.":[67],"these":[69],"prohibitively":[73],"slow":[74],"practical":[76],"applications.":[77],"A":[78],"deterministic":[79],"alternative":[80],"provided":[82],"by":[83,169],"variational":[84,99,107,126],"that":[86,162],"convert":[87],"problems":[89],"into":[90],"optimization":[91],"problems.":[92],"In":[93],"paper,":[95],"we":[96,160],"present":[97],"a":[98,144],"mixture":[103,172],"models.":[104],"First,":[105],"framework":[108],"used":[110],"side-step":[112],"intractability":[114],"arising":[115],"from":[116],"coupling":[118],"latent":[120],"states":[121],"and":[122,152,194],"parameters.":[123,158],"Second,":[124],"free":[127],"energy":[128],"further":[130],"lower":[131,145],"bounded":[132],"order":[134],"avoid":[136],"intractable":[137],"moment":[138],"computation.":[139],"proposed":[141],"approach":[142],"provides":[143],"bound":[146],"on":[147],"log":[149],"marginal":[150],"likelihood":[151],"retains":[153],"distributional":[154],"information":[155],"over":[156],"all":[157],"Moreover,":[159],"show":[161],"it":[163],"regulate":[165],"own":[167],"complexity":[168],"pruning":[170],"unnecessary":[171],"components":[173],"while":[174],"avoiding":[175],"over-fitting.":[176],"We":[177],"discuss":[178],"potential":[179],"applications":[180],"with":[184],"problem":[189],"blind":[191],"source":[192],"separation,":[193],"clustering":[195],"gene":[196],"expression":[197],"sets.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
