{"id":"https://openalex.org/W2461415590","doi":"https://doi.org/10.1109/tcst.2016.2576999","title":"Variational Bayesian Gaussian Mixture Regression for Soft Sensing Key Variables in Non-Gaussian Industrial Processes","display_name":"Variational Bayesian Gaussian Mixture Regression for Soft Sensing Key Variables in Non-Gaussian Industrial Processes","publication_year":2016,"publication_date":"2016-06-23","ids":{"openalex":"https://openalex.org/W2461415590","doi":"https://doi.org/10.1109/tcst.2016.2576999","mag":"2461415590"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2016.2576999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2016.2576999","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","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/A5005818978","display_name":"Jinlin Zhu","orcid":"https://orcid.org/0000-0002-4296-5914"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinlin Zhu","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067726465","display_name":"Zhiqiang Ge","orcid":"https://orcid.org/0000-0002-2071-4380"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Ge","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101738557","display_name":"Zhihuan Song","orcid":null},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihuan Song","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005818978"],"corresponding_institution_ids":["https://openalex.org/I4391767838"],"apc_list":null,"apc_paid":null,"fwci":9.1055,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.98069343,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"25","issue":"3","first_page":"1092","last_page":"1099"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9514999985694885,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/soft-sensor","display_name":"Soft sensor","score":0.7249116897583008},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.6479587554931641},{"id":"https://openalex.org/keywords/conjugate-prior","display_name":"Conjugate prior","score":0.6073691248893738},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5914907455444336},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.5870391726493835},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5616893768310547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.554613471031189},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4211769998073578},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.3828176259994507},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.36216825246810913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3606436252593994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35551023483276367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3197794556617737},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.2841895818710327},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09122404456138611}],"concepts":[{"id":"https://openalex.org/C115575686","wikidata":"https://www.wikidata.org/wiki/Q18822403","display_name":"Soft sensor","level":3,"score":0.7249116897583008},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.6479587554931641},{"id":"https://openalex.org/C26004113","wikidata":"https://www.wikidata.org/wiki/Q3711784","display_name":"Conjugate prior","level":4,"score":0.6073691248893738},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5914907455444336},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5870391726493835},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5616893768310547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.554613471031189},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4211769998073578},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.3828176259994507},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.36216825246810913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3606436252593994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35551023483276367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3197794556617737},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2841895818710327},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09122404456138611},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2016.2576999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2016.2576999","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G5014602333","display_name":null,"funder_award_id":"61573308","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W343686539","https://openalex.org/W1597576211","https://openalex.org/W1723619723","https://openalex.org/W1963955836","https://openalex.org/W1969833588","https://openalex.org/W2000651380","https://openalex.org/W2015245929","https://openalex.org/W2036887017","https://openalex.org/W2038573408","https://openalex.org/W2040449196","https://openalex.org/W2041580073","https://openalex.org/W2063100141","https://openalex.org/W2069136219","https://openalex.org/W2079692514","https://openalex.org/W2085862958","https://openalex.org/W2087285421","https://openalex.org/W2090575729","https://openalex.org/W2094298886","https://openalex.org/W2096976414","https://openalex.org/W2097586110","https://openalex.org/W2106849258","https://openalex.org/W2115979064","https://openalex.org/W2121854064","https://openalex.org/W2127498532","https://openalex.org/W2157136988","https://openalex.org/W2158266063","https://openalex.org/W2158958729","https://openalex.org/W2164762195","https://openalex.org/W2321339439","https://openalex.org/W2322097696","https://openalex.org/W2974238426","https://openalex.org/W6677308353"],"related_works":["https://openalex.org/W2476449081","https://openalex.org/W4298870584","https://openalex.org/W2734174941","https://openalex.org/W4298441262","https://openalex.org/W4306291977","https://openalex.org/W2950950409","https://openalex.org/W2232589144","https://openalex.org/W2404382874","https://openalex.org/W2905505054","https://openalex.org/W4287394650"],"abstract_inverted_index":{"In":[0,89],"this":[1,90],"brief,":[2,91],"a":[3,20,53,83,92,114,133,173],"variational":[4],"Bayesian":[5,94,105,127],"Gaussian":[6,25,32],"mixture":[7,26,33,123],"regression":[8,27],"(VBGMR)":[9],"method":[10,96],"is":[11,29,97,107,118,129],"developed":[12],"for":[13,99,109],"soft":[14,101,159],"sensing":[15],"key":[16],"quality-related":[17],"variables":[18],"in":[19,77],"non-Gaussian":[21],"industrial":[22,142],"process.":[23],"Traditional":[24],"(GMR)":[28],"based":[30],"on":[31,121,132],"model":[34,45,50],"(GMM)":[35],"and":[36,73,137,154,161],"can":[37,69],"be":[38,70],"easily":[39],"stuck":[40],"into":[41],"the":[42,48,122,141,157,169],"issue":[43],"of":[44,56,156,171],"selection":[46],"since":[47,81],"GMM":[49],"generally":[51,165],"requires":[52],"large":[54],"amount":[55],"local":[57],"components":[58,85],"so":[59],"as":[60],"to":[61,140],"achieve":[62],"desirable":[63],"predicting":[64],"performances.":[65],"However,":[66],"such":[67],"assignation":[68],"computationally":[71],"extensive":[72],"may":[74],"also":[75],"result":[76],"some":[78],"numerical":[79,134],"issues":[80],"only":[82,172],"few":[84,174],"are":[86],"positively":[87],"adopted.":[88],"fully":[93],"modeling":[95],"proposed":[98],"GMR-based":[100],"sensor":[102,160],"development.":[103],"Conjugate":[104],"prior":[106,117],"defined":[108,120],"each":[110],"empirical":[111],"parameter,":[112],"while":[113],"Dirichlet":[115],"process":[116],"further":[119],"component.":[124],"The":[125,150],"full":[126],"GMR":[128,167],"first":[130],"validated":[131],"case":[135],"study":[136],"then":[138],"applied":[139],"hydrogen":[143],"manufacturing":[144],"units,":[145],"both":[146],"compared":[147],"with":[148,168],"GMR.":[149],"results":[151],"demonstrate":[152],"feasibility":[153],"reliability":[155],"new":[158],"show":[162],"that":[163],"VBGMR":[164],"outperforms":[166],"requirement":[170],"activated":[175],"components.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}