{"id":"https://openalex.org/W3126389217","doi":"https://doi.org/10.1109/tcyb.2021.3049769","title":"Variational Learning Data Fusion With Unknown Correlation","display_name":"Variational Learning Data Fusion With Unknown Correlation","publication_year":2022,"publication_date":"2022-07-19","ids":{"openalex":"https://openalex.org/W3126389217","doi":"https://doi.org/10.1109/tcyb.2021.3049769","mag":"3126389217","pmid":"https://pubmed.ncbi.nlm.nih.gov/33566781"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3049769","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3049769","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/A5100718890","display_name":"Wanying Zhang","orcid":"https://orcid.org/0000-0002-0983-092X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wanying Zhang","raw_affiliation_strings":["School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100646875","display_name":"Yan Liang","orcid":"https://orcid.org/0000-0003-4798-4257"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liang","raw_affiliation_strings":["School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061884304","display_name":"Henry Leung","orcid":"https://orcid.org/0000-0002-5984-107X"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Henry Leung","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062038689","display_name":"Feng Yang","orcid":"https://orcid.org/0000-0001-6991-1628"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Yang","raw_affiliation_strings":["School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100718890"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.8274,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76373495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"52","issue":"8","first_page":"7814","last_page":"7824"},"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":0.9988999962806702,"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":0.9988999962806702,"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":0.9965000152587891,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/divergence","display_name":"Divergence (linguistics)","score":0.6479120254516602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5876586437225342},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.580748438835144},{"id":"https://openalex.org/keywords/sensor-fusion","display_name":"Sensor fusion","score":0.5256744027137756},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5191037654876709},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4979681968688965},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.49043986201286316},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4742385745048523},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.4299491345882416},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.42085176706314087},{"id":"https://openalex.org/keywords/fusion","display_name":"Fusion","score":0.4161291718482971},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4127904176712036},{"id":"https://openalex.org/keywords/correlation-coefficient","display_name":"Correlation coefficient","score":0.41098806262016296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39136892557144165},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38628607988357544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3456255793571472},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2868504524230957},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.18003779649734497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08169150352478027}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6479120254516602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5876586437225342},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.580748438835144},{"id":"https://openalex.org/C33954974","wikidata":"https://www.wikidata.org/wiki/Q486494","display_name":"Sensor fusion","level":2,"score":0.5256744027137756},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5191037654876709},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4979681968688965},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.49043986201286316},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4742385745048523},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.4299491345882416},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.42085176706314087},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.4161291718482971},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4127904176712036},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.41098806262016296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39136892557144165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38628607988357544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3456255793571472},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2868504524230957},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.18003779649734497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08169150352478027},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3049769","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3049769","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:33566781","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33566781","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":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G232665685","display_name":null,"funder_award_id":"61873205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1516089580","https://openalex.org/W1531532259","https://openalex.org/W1536497620","https://openalex.org/W1978063275","https://openalex.org/W1984609538","https://openalex.org/W2005850412","https://openalex.org/W2018142823","https://openalex.org/W2034543950","https://openalex.org/W2036373445","https://openalex.org/W2049853380","https://openalex.org/W2064183516","https://openalex.org/W2065185729","https://openalex.org/W2066667210","https://openalex.org/W2067170332","https://openalex.org/W2071284784","https://openalex.org/W2071645528","https://openalex.org/W2073779945","https://openalex.org/W2081084346","https://openalex.org/W2081168814","https://openalex.org/W2095376999","https://openalex.org/W2099371695","https://openalex.org/W2115979064","https://openalex.org/W2116564195","https://openalex.org/W2142315243","https://openalex.org/W2144859729","https://openalex.org/W2146571341","https://openalex.org/W2148234182","https://openalex.org/W2149724162","https://openalex.org/W2164415386","https://openalex.org/W2165036267","https://openalex.org/W2561257242","https://openalex.org/W2569381866","https://openalex.org/W2593819095","https://openalex.org/W2615536673","https://openalex.org/W2795194556","https://openalex.org/W2884043659","https://openalex.org/W2909604997","https://openalex.org/W2914847146","https://openalex.org/W2943989682","https://openalex.org/W2992396604","https://openalex.org/W3007456408","https://openalex.org/W3125032682","https://openalex.org/W4212863985","https://openalex.org/W6677308353"],"related_works":["https://openalex.org/W1502458949","https://openalex.org/W2323830966","https://openalex.org/W188032563","https://openalex.org/W2362838148","https://openalex.org/W2359279826","https://openalex.org/W2085581092","https://openalex.org/W2361901126","https://openalex.org/W2387523877","https://openalex.org/W3210250802","https://openalex.org/W2360232153"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"the":[3,21,32,41,63,67,72,85,92,95,99],"problem":[4],"of":[5,36,49,71,94,102],"joint":[6,68],"state":[7,73],"estimation":[8,103],"and":[9,17,58,74,104],"correlation":[10,19,28,51],"identification":[11],"for":[12],"data":[13,27],"fusion":[14],"with":[15],"unknown":[16,50],"time-varying":[18],"under":[20],"Bayesian":[22,65],"learning":[23],"framework.":[24],"The":[25,88],"considered":[26],"is":[29,76],"represented":[30],"by":[31],"randomly":[33],"weighted":[34],"sum":[35],"positive":[37],"semi-definite":[38],"matrices,":[39],"where":[40],"random":[42],"weights":[43,75],"depict":[44],"at":[45],"least":[46],"three":[47],"kinds":[48],"across":[52],"single-sensor":[53],"measurement":[54],"components,":[55],"multisensor":[56],"measurements,":[57],"local":[59],"estimates.":[60],"Based":[61],"on":[62],"variational":[64],"mechanism,":[66],"posterior":[69],"distribution":[70],"derived":[77],"in":[78,98],"a":[79],"closed-form":[80],"iterative":[81],"manner,":[82],"through":[83],"minimizing":[84],"Kullback-Leibler":[86],"divergence.":[87],"three-case":[89],"simulation":[90],"shows":[91],"superiority":[93],"proposed":[96],"method":[97],"root-mean-square":[100],"error":[101],"identification.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
