{"id":"https://openalex.org/W2833602261","doi":"https://doi.org/10.1109/tac.2018.2854897","title":"Multiple-Model State Estimation Based on Variational Bayesian Inference","display_name":"Multiple-Model State Estimation Based on Variational Bayesian Inference","publication_year":2018,"publication_date":"2018-07-11","ids":{"openalex":"https://openalex.org/W2833602261","doi":"https://doi.org/10.1109/tac.2018.2854897","mag":"2833602261"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2854897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2854897","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5047724561","display_name":"Yanjun Ma","orcid":"https://orcid.org/0000-0002-1232-6142"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Yanjun Ma","raw_affiliation_strings":["Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023417619","display_name":"Shunyi Zhao","orcid":"https://orcid.org/0000-0001-5363-8305"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Shunyi Zhao","raw_affiliation_strings":["Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100432851","display_name":"Biao Huang","orcid":"https://orcid.org/0000-0001-9082-2216"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Biao Huang","raw_affiliation_strings":["Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047724561"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":3.5438,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.94221045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"64","issue":"4","first_page":"1679","last_page":"1685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9994999766349792,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9994999766349792,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9883000254631042,"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/inference","display_name":"Inference","score":0.6462066769599915},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5627932548522949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.530240535736084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5214921236038208},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5100094079971313},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5092157125473022},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4736921787261963},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.4637860059738159},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4637840986251831},{"id":"https://openalex.org/keywords/approximate-inference","display_name":"Approximate inference","score":0.45407190918922424},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.42828476428985596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4119483232498169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3984087407588959},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37592437863349915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2891644835472107},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1209956705570221}],"concepts":[{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6462066769599915},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5627932548522949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.530240535736084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5214921236038208},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5100094079971313},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5092157125473022},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4736921787261963},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.4637860059738159},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4637840986251831},{"id":"https://openalex.org/C2777472644","wikidata":"https://www.wikidata.org/wiki/Q16968992","display_name":"Approximate inference","level":3,"score":0.45407190918922424},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.42828476428985596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4119483232498169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3984087407588959},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37592437863349915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2891644835472107},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1209956705570221},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2018.2854897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2854897","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W107619411","https://openalex.org/W1493878376","https://openalex.org/W1969502443","https://openalex.org/W1972458164","https://openalex.org/W1998625821","https://openalex.org/W2000161594","https://openalex.org/W2004466539","https://openalex.org/W2054929958","https://openalex.org/W2063695849","https://openalex.org/W2071855385","https://openalex.org/W2075274028","https://openalex.org/W2078948595","https://openalex.org/W2083402998","https://openalex.org/W2097009900","https://openalex.org/W2103632679","https://openalex.org/W2105777181","https://openalex.org/W2108342764","https://openalex.org/W2110170799","https://openalex.org/W2114690521","https://openalex.org/W2115979064","https://openalex.org/W2115981198","https://openalex.org/W2117397690","https://openalex.org/W2118754959","https://openalex.org/W2132036885","https://openalex.org/W2155680787","https://openalex.org/W2161244654","https://openalex.org/W2165752801","https://openalex.org/W2166851633","https://openalex.org/W4294562888","https://openalex.org/W6675528826","https://openalex.org/W6677308353","https://openalex.org/W6684578138"],"related_works":["https://openalex.org/W2579634771","https://openalex.org/W3013517953","https://openalex.org/W1560664277","https://openalex.org/W2756401664","https://openalex.org/W2338837772","https://openalex.org/W1486719010","https://openalex.org/W2547148345","https://openalex.org/W1496710458","https://openalex.org/W1538101308","https://openalex.org/W4247219983"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,26,31,81,90],"new":[6],"approach":[7],"to":[8,96],"state":[9,46],"estimation":[10,67],"of":[11,44,74,100],"multiple":[12],"state-space":[13],"models.":[14],"Unlike":[15],"the":[16,20,35,39,45,57,61,98,101],"traditional":[17],"methods":[18],"(including":[19],"interacting":[21],"multiple-model":[22],"algorithm)":[23],"that":[24,56],"approximate":[25],"Gaussian":[27,33],"mixture":[28],"distribution":[29],"with":[30,89],"single":[32],"distribution,":[34],"proposed":[36,58,102],"method":[37,59],"approximates":[38],"joint":[40],"probability":[41],"density":[42],"functions":[43],"and":[47,65],"model":[48],"identity":[49],"through":[50],"Bayesian":[51],"inference.":[52],"It":[53],"is":[54,84],"shown":[55],"reduces":[60],"approximation":[62],"error":[63],"considerably,":[64],"improves":[66],"accuracy":[68],"without":[69],"increasing":[70],"computational":[71],"cost.":[72],"Analysis":[73],"its":[75],"specific":[76],"features":[77],"as":[78,80],"well":[79],"potential":[82],"extension":[83],"also":[85],"presented.":[86],"Numerical":[87],"examples":[88],"practically":[91],"oriented":[92],"simulation":[93],"are":[94],"employed":[95],"illustrate":[97],"effectiveness":[99],"method.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}