{"id":"https://openalex.org/W2108095822","doi":"https://doi.org/10.1109/ijcnn.2009.5178726","title":"A gradient-based algorithm competitive with variational Bayesian EM for mixture of Gaussians","display_name":"A gradient-based algorithm competitive with variational Bayesian EM for mixture of Gaussians","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2108095822","doi":"https://doi.org/10.1109/ijcnn.2009.5178726","mag":"2108095822"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2009.5178726","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2009.5178726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Joint Conference on Neural Networks","raw_type":"proceedings-article"},"type":"conference-paper","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/A5019156344","display_name":"Mikael Kuusela","orcid":"https://orcid.org/0000-0001-6875-945X"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Mikael Kuusela","raw_affiliation_strings":["Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]},{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008894339","display_name":"Tapani Raiko","orcid":"https://orcid.org/0000-0002-0321-304X"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tapani Raiko","raw_affiliation_strings":["Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]},{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071329195","display_name":"Antti Honkela","orcid":"https://orcid.org/0000-0001-9193-8093"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Antti Honkela","raw_affiliation_strings":["Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]},{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085358291","display_name":"Juha Karhunen","orcid":null},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Juha Karhunen","raw_affiliation_strings":["Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]},{"raw_affiliation_string":"Adaptive Informatics Research Center, Helsinki University of Technology (TKK), Finland","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I133731052"],"apc_list":null,"apc_paid":null,"fwci":0.9686,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.72052944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9969000220298767,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9894000291824341,"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/algorithm","display_name":"Algorithm","score":0.746696412563324},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.7000988721847534},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6195733547210693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5682927370071411},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4970550835132599},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.48038750886917114},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32874804735183716}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.746696412563324},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.7000988721847534},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6195733547210693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5682927370071411},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4970550835132599},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.48038750886917114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32874804735183716}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn.2009.5178726","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2009.5178726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Joint Conference on Neural Networks","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.7192","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.7192","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cis.hut.fi/juha/papers/ijcnn09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W150175414","https://openalex.org/W176248852","https://openalex.org/W1506806321","https://openalex.org/W1520168181","https://openalex.org/W1599331152","https://openalex.org/W1663973292","https://openalex.org/W1845773340","https://openalex.org/W1969810729","https://openalex.org/W1970789124","https://openalex.org/W2038798255","https://openalex.org/W2051812123","https://openalex.org/W2074110352","https://openalex.org/W2098841537","https://openalex.org/W2126964567","https://openalex.org/W2155042384","https://openalex.org/W2171911691","https://openalex.org/W4210636998","https://openalex.org/W4212863985","https://openalex.org/W6629510986","https://openalex.org/W6669268060","https://openalex.org/W6674632333","https://openalex.org/W6682942864"],"related_works":["https://openalex.org/W2372267530","https://openalex.org/W2969189870","https://openalex.org/W2585791450","https://openalex.org/W3015855446","https://openalex.org/W4303857162","https://openalex.org/W2965643117","https://openalex.org/W4288266653","https://openalex.org/W2407375987","https://openalex.org/W2505726097","https://openalex.org/W2950975704"],"abstract_inverted_index":{"While":[0],"variational":[1],"Bayesian":[2],"(VB)":[3],"inference":[4,48],"is":[5,78],"typically":[6],"done":[7],"with":[8,87],"the":[9,25,28,61,64,67,73,76,96,104],"so":[10],"called":[11],"VB":[12,47,82],"EM":[13,83],"algorithm,":[14],"there":[15],"are":[16,98],"models":[17],"where":[18],"it":[19],"cannot":[20,30],"be":[21,31],"applied":[22],"because":[23],"either":[24],"E-step":[26],"or":[27],"M-step":[29],"solved":[32],"analytically.":[33],"In":[34,56],"2007,":[35],"Honkela":[36],"et":[37],"al.":[38],"introduced":[39],"a":[40,43,54],"recipe":[41],"for":[42,46],"gradient-based":[44],"algorithm":[45,62,77],"that":[49,95],"does":[50],"not":[51],"have":[52],"such":[53],"restriction.":[55],"this":[57],"paper,":[58],"we":[59],"derive":[60],"in":[63],"case":[65],"of":[66,69],"mixture":[68],"Gaussians":[70],"model.":[71],"For":[72],"first":[74],"time,":[75],"experimentally":[79],"compared":[80],"to":[81],"and":[84,90],"its":[85],"variant":[86],"both":[88],"artificial":[89],"real":[91],"data.":[92],"We":[93],"conclude":[94],"algorithms":[97],"approximately":[99],"as":[100],"fast":[101],"depending":[102],"on":[103],"problem.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}