{"id":"https://openalex.org/W2117022519","doi":"https://doi.org/10.1109/tfuzz.2010.2048331","title":"Variational Bayes for a Mixed Stochastic/Deterministic Fuzzy Filter","display_name":"Variational Bayes for a Mixed Stochastic/Deterministic Fuzzy Filter","publication_year":2010,"publication_date":"2010-04-16","ids":{"openalex":"https://openalex.org/W2117022519","doi":"https://doi.org/10.1109/tfuzz.2010.2048331","mag":"2117022519"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2010.2048331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2048331","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","raw_type":"journal-article"},"type":"article","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/A5046933902","display_name":"Mohit Kumar","orcid":"https://orcid.org/0000-0002-3355-8815"},"institutions":[{"id":"https://openalex.org/I4210157642","display_name":"Institute of Automation","ror":"https://ror.org/056qj1t15","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210157642","https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mohit Kumar","raw_affiliation_strings":["Automation Assessment, Center of Life Science Automation, Rostock, Germany","Autom. Assessment, Center for Life Sci. Autom., Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Automation Assessment, Center of Life Science Automation, Rostock, Germany","institution_ids":["https://openalex.org/I4210157642"]},{"raw_affiliation_string":"Autom. Assessment, Center for Life Sci. Autom., Rostock, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113701752","display_name":"Norbert Stoll","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157642","display_name":"Institute of Automation","ror":"https://ror.org/056qj1t15","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210157642","https://openalex.org/I78650965"]},{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Norbert Stoll","raw_affiliation_strings":["Institute of Automation, College of Computer Science and Electrical Engineering, University of Rostock, Rostock, Germany","Institute of Automation, University of Rostock , Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Automation, College of Computer Science and Electrical Engineering, University of Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924","https://openalex.org/I4210157642"]},{"raw_affiliation_string":"Institute of Automation, University of Rostock , Rostock, Germany","institution_ids":["https://openalex.org/I4665924","https://openalex.org/I4210157642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090279468","display_name":"Regina Stoll","orcid":"https://orcid.org/0000-0003-2800-5252"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Regina Stoll","raw_affiliation_strings":["Institute of Faculty of Medicine, Preventive Medicine, University of Rostock, Rostock, Germany","Inst. of Fac. of Med., Univ. of Rostock, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Faculty of Medicine, Preventive Medicine, University of Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]},{"raw_affiliation_string":"Inst. of Fac. of Med., Univ. of Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046933902"],"corresponding_institution_ids":["https://openalex.org/I4210157642"],"apc_list":null,"apc_paid":null,"fwci":2.2552,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89620901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"4","first_page":"787","last_page":"801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9973999857902527,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9973999857902527,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9973999857902527,"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/T10320","display_name":"Neural Networks and Applications","score":0.9790999889373779,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6263331174850464},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5757126212120056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5294919610023499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5289468765258789},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4867956340312958},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4423774778842926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42668503522872925},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.4189336895942688},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.41885918378829956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40075233578681946},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37129849195480347},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.35983896255493164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2582295536994934}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6263331174850464},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5757126212120056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5294919610023499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5289468765258789},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4867956340312958},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4423774778842926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42668503522872925},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.4189336895942688},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.41885918378829956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40075233578681946},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37129849195480347},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.35983896255493164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2582295536994934},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2010.2048331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2048331","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W20030223","https://openalex.org/W292405675","https://openalex.org/W1500739222","https://openalex.org/W1554427862","https://openalex.org/W1560688497","https://openalex.org/W1581423902","https://openalex.org/W1586727544","https://openalex.org/W1966213225","https://openalex.org/W1966945287","https://openalex.org/W1973309770","https://openalex.org/W1983425265","https://openalex.org/W1984534228","https://openalex.org/W1984794457","https://openalex.org/W1989665358","https://openalex.org/W2005360139","https://openalex.org/W2010731670","https://openalex.org/W2012299073","https://openalex.org/W2019207321","https://openalex.org/W2024000733","https://openalex.org/W2031319431","https://openalex.org/W2034766557","https://openalex.org/W2039223699","https://openalex.org/W2041280856","https://openalex.org/W2050288270","https://openalex.org/W2090729373","https://openalex.org/W2096991709","https://openalex.org/W2097430704","https://openalex.org/W2097487088","https://openalex.org/W2103414828","https://openalex.org/W2104972717","https://openalex.org/W2108835301","https://openalex.org/W2109717317","https://openalex.org/W2111026029","https://openalex.org/W2112195879","https://openalex.org/W2112618766","https://openalex.org/W2113257799","https://openalex.org/W2115581169","https://openalex.org/W2115979064","https://openalex.org/W2116171417","https://openalex.org/W2117446031","https://openalex.org/W2128266155","https://openalex.org/W2129629388","https://openalex.org/W2131130331","https://openalex.org/W2136390670","https://openalex.org/W2149668177","https://openalex.org/W2150888205","https://openalex.org/W2151580269","https://openalex.org/W2152161790","https://openalex.org/W2157453139","https://openalex.org/W2163845070","https://openalex.org/W2166813136","https://openalex.org/W2167234030","https://openalex.org/W2168990926","https://openalex.org/W2172085063","https://openalex.org/W2481233609","https://openalex.org/W2492794003","https://openalex.org/W3146863510","https://openalex.org/W4233391551","https://openalex.org/W6600822238","https://openalex.org/W6629915078","https://openalex.org/W6721681536"],"related_works":["https://openalex.org/W2390004645","https://openalex.org/W2369001708","https://openalex.org/W2029959729","https://openalex.org/W303963093","https://openalex.org/W1489991992","https://openalex.org/W1989175590","https://openalex.org/W2375632876","https://openalex.org/W2095558912","https://openalex.org/W2371859526","https://openalex.org/W148079815"],"abstract_inverted_index":{"This":[0,63,178],"study,":[1],"under":[2],"the":[3,9,32,60,66,70,90,96,116,120,129,146,165,171,183,191,198,207],"variational":[4],"Bayes":[5],"(VB)":[6],"framework,":[7],"infers":[8],"parameters":[10,92,103,125,137],"of":[11,24,31,45,82,95,123,170,175,190],"a":[12,79,111,141,187],"Takagi-Sugeno":[13,193],"fuzzy":[14,72,97,167,176,194],"filter":[15,98,168],"having":[16],"deterministic":[17,136],"antecedents":[18],"and":[19,49],"stochastic":[20,188],"consequents.":[21],"The":[22,52,106,134,152],"aim":[23],"this":[25],"study":[26],"is":[27,87,179],"to":[28,35,59,69,128,143,158,205],"take":[29],"advantages":[30],"VB":[33,53,67,107,153],"framework":[34],"design":[36,159],"fuzzy-filtering":[37],"algorithms,":[38],"which":[39],"include":[40],"an":[41,160],"automated":[42],"regularization,":[43],"incorporation":[44],"statistical":[46],"noise":[47],"models,":[48],"model-comparison":[50],"capability.":[51],"method":[54,68],"can":[55,155],"be":[56,156],"easily":[57],"applied":[58],"linear-in-parameters":[61],"models.":[62],"paper":[64],"applies":[65],"nonlinear":[71,84,91,135],"filters":[73,195,200],"without":[74],"using":[75],"Taylor":[76],"expansion":[77],"for":[78],"linear":[80,102,124],"approximation":[81],"some":[83],"function.":[85],"It":[86],"assumed":[88],"that":[89,162,197],"(i.e.,":[93],"antecedents)":[94],"are":[99,104,138],"deterministic,":[100],"while":[101],"stochastic.":[105],"algorithm,":[108],"by":[109,181],"maximizing":[110],"strict":[112],"lower":[113,147],"bound":[114,148],"on":[115,149],"data":[117,150,185],"evidence,":[118],"makes":[119],"approximate":[121],"posterior":[122,131],"as":[126,132,186],"close":[127],"true":[130],"possible.":[133],"tuned":[139],"in":[140],"way":[142],"further":[144],"increase":[145],"evidence.":[151],"paradigm":[154],"used":[157],"algorithm":[161],"automatically":[163],"selects":[164],"most-suitable":[166],"out":[169],"considered":[172],"finite":[173],"set":[174],"filters.":[177],"done":[180],"fitting":[182],"observed":[184],"combination":[189],"different":[192],"such":[196],"individual":[199],"compete":[201],"with":[202],"one":[203],"another":[204],"model":[206],"data.":[208]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}