{"id":"https://openalex.org/W3092291341","doi":"https://doi.org/10.3390/s20195692","title":"Copula-Based Uncertainty Quantification (Copula-UQ) for Multi-Sensor Data in Structural Health Monitoring","display_name":"Copula-Based Uncertainty Quantification (Copula-UQ) for Multi-Sensor Data in Structural Health Monitoring","publication_year":2020,"publication_date":"2020-10-06","ids":{"openalex":"https://openalex.org/W3092291341","doi":"https://doi.org/10.3390/s20195692","mag":"3092291341","pmid":"https://pubmed.ncbi.nlm.nih.gov/33036148"},"language":"en","primary_location":{"id":"doi:10.3390/s20195692","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20195692","pdf_url":"https://www.mdpi.com/1424-8220/20/19/5692/pdf?version=1601974478","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/20/19/5692/pdf?version=1601974478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091866062","display_name":"He\u2010Qing Mu","orcid":"https://orcid.org/0000-0001-8358-6032"},"institutions":[{"id":"https://openalex.org/I90149893","display_name":"China Earthquake Administration","ror":"https://ror.org/045sza929","country_code":"CN","type":"facility","lineage":["https://openalex.org/I90149893"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"He-Qing Mu","raw_affiliation_strings":["Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China","School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China","State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":"https://orcid.org/0000-0001-8358-6032","affiliations":[{"raw_affiliation_string":"Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China","institution_ids":["https://openalex.org/I90149893"]},{"raw_affiliation_string":"School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055339870","display_name":"Han-Teng Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han-Teng Liu","raw_affiliation_strings":["School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086605772","display_name":"Ji-Hui Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Hui Shen","raw_affiliation_strings":["School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091866062"],"corresponding_institution_ids":["https://openalex.org/I90149893","https://openalex.org/I90610280"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2673},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2673},"fwci":0.5171,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.62594961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"20","issue":"19","first_page":"5692","last_page":"5692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11850","display_name":"Concrete Corrosion and Durability","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.9242210388183594},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.769498348236084},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6418624520301819},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.6224582195281982},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5717138051986694},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.5577996373176575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5265696048736572},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4516047239303589},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.43683695793151855},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4350760281085968},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.43061962723731995},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.40430232882499695},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.348193496465683},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.34483611583709717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2684905529022217},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25751757621765137},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24495747685432434}],"concepts":[{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.9242210388183594},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.769498348236084},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6418624520301819},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.6224582195281982},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5717138051986694},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.5577996373176575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5265696048736572},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4516047239303589},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.43683695793151855},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4350760281085968},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.43061962723731995},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.40430232882499695},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.348193496465683},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34483611583709717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2684905529022217},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25751757621765137},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24495747685432434}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s20195692","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20195692","pdf_url":"https://www.mdpi.com/1424-8220/20/19/5692/pdf?version=1601974478","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:33036148","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33036148","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":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:b667b27a0b5c4619b9364191d6215de9","is_oa":true,"landing_page_url":"https://doaj.org/article/b667b27a0b5c4619b9364191d6215de9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors, Vol 20, Iss 19, p 5692 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/20/19/5692/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s20195692","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors; Volume 20; Issue 19; Pages: 5692","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7582857","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7582857","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s20195692","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20195692","pdf_url":"https://www.mdpi.com/1424-8220/20/19/5692/pdf?version=1601974478","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2741933470","display_name":null,"funder_award_id":"2019EEEVL0401","funder_id":"https://openalex.org/F4320335522","funder_display_name":"Institute of Engineering Mechanics, China Earthquake Administration"},{"id":"https://openalex.org/G3996797824","display_name":null,"funder_award_id":"2019 EEEVL0401","funder_id":"https://openalex.org/F4320326553","funder_display_name":"China Earthquake Administration"},{"id":"https://openalex.org/G4781166082","display_name":null,"funder_award_id":"201806010172","funder_id":"https://openalex.org/F4320335377","funder_display_name":"Pearl River S and T Nova Program of Guangzhou"}],"funders":[{"id":"https://openalex.org/F4320326553","display_name":"China Earthquake Administration","ror":"https://ror.org/045sza929"},{"id":"https://openalex.org/F4320335377","display_name":"Pearl River S and T Nova Program of Guangzhou","ror":null},{"id":"https://openalex.org/F4320335522","display_name":"Institute of Engineering Mechanics, China Earthquake Administration","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3092291341.pdf","grobid_xml":"https://content.openalex.org/works/W3092291341.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W60278794","https://openalex.org/W1891476538","https://openalex.org/W1972518832","https://openalex.org/W1974392437","https://openalex.org/W1974964201","https://openalex.org/W1985724927","https://openalex.org/W2031200027","https://openalex.org/W2035652711","https://openalex.org/W2042136389","https://openalex.org/W2062258832","https://openalex.org/W2067478553","https://openalex.org/W2069174066","https://openalex.org/W2080216592","https://openalex.org/W2090312259","https://openalex.org/W2100542464","https://openalex.org/W2132603731","https://openalex.org/W2141841325","https://openalex.org/W2163402412","https://openalex.org/W2255328793","https://openalex.org/W2277929184","https://openalex.org/W2291538253","https://openalex.org/W2411806343","https://openalex.org/W2494873755","https://openalex.org/W2503126809","https://openalex.org/W2504447024","https://openalex.org/W2510300149","https://openalex.org/W2566191426","https://openalex.org/W2765099936","https://openalex.org/W2767646341","https://openalex.org/W2789473730","https://openalex.org/W2802089711","https://openalex.org/W2805336020","https://openalex.org/W2883078288","https://openalex.org/W2885520844","https://openalex.org/W2933666675","https://openalex.org/W2996173675","https://openalex.org/W3004017446","https://openalex.org/W3005131502","https://openalex.org/W4388290870","https://openalex.org/W6643944661","https://openalex.org/W6660770095"],"related_works":["https://openalex.org/W2117969153","https://openalex.org/W2368545092","https://openalex.org/W2612974140","https://openalex.org/W1990836375","https://openalex.org/W1597411984","https://openalex.org/W2519402245","https://openalex.org/W4287578031","https://openalex.org/W1967916041","https://openalex.org/W3094338031","https://openalex.org/W3121618123"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,11,51,119,134,156,179,182,192],"uncertainty":[3],"quantification":[4],"(UQ)":[5],"for":[6,90,123],"multi-sensor":[7,91,181],"data":[8,92,150,172,178],"is":[9,23,101,113],"one":[10,174],"the":[12,40,47,56,63,69,105,110,117,120,126,132,135,139,157,164,190,193],"main":[13],"concerns":[14],"in":[15,195],"structural":[16],"health":[17],"monitoring":[18],"(SHM).":[19],"One":[20,168],"important":[21],"task":[22],"multivariate":[24,72,165],"joint":[25,73,99,166,196],"probability":[26],"density":[27],"function":[28],"(PDF)":[29],"modelling.":[30],"Copula-based":[31],"statistical":[32,57],"inference":[33,76,121],"has":[34],"attracted":[35],"significant":[36],"attention":[37],"due":[38],"to":[39,148,188],"fact":[41],"that":[42],"it":[43],"decouples":[44],"inferences":[45],"on":[46,77,104,131,163],"univariate":[48,106],"marginal":[49,107],"PDF":[50,74,100,133,197],"each":[52],"random":[53,64],"variable":[54,201],"and":[55,81,84,109,125,173,199],"dependence":[58],"structure":[59],"(called":[60],"copula)":[61],"among":[62],"variables.":[65],"This":[66],"paper":[67],"proposes":[68],"Copula-UQ,":[70],"composing":[71],"modelling,":[75],"model":[78],"class":[79],"selection":[80],"parameter":[82],"identification,":[83],"probabilistic":[85],"prediction":[86],"using":[87,138,170,176],"incomplete":[88,145],"information,":[89],"measured":[93],"from":[94],"a":[95,180,183],"SHM":[96],"system.":[97],"Multivariate":[98],"modeled":[102],"based":[103,162],"PDFs":[108],"copula.":[111],"Inference":[112],"made":[114,161],"by":[115,152],"combing":[116],"idea":[118],"functions":[122],"margins":[124],"maximum":[127],"likelihood":[128],"estimate.":[129],"Prediction":[130],"target":[136,200],"variable,":[137,159],"complete":[140],"(from":[141],"normal":[142],"sensors)":[143],"or":[144],"information":[146],"(due":[147],"missing":[149],"caused":[151],"sensor":[153],"fault":[154],"issue)":[155],"predictor":[158],"are":[160,186],"PDF.":[167],"example":[169,175],"simulated":[171],"temperature":[177],"monitored":[184],"bridge":[185],"presented":[187],"illustrate":[189],"capability":[191],"Copula-UQ":[194],"modelling":[198],"prediction.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}