{"id":"https://openalex.org/W2946858709","doi":"https://doi.org/10.1109/access.2019.2919714","title":"Sensitivity Analysis of Random and Interval Uncertain Variables Based on Polynomial Chaos Expansion Method","display_name":"Sensitivity Analysis of Random and Interval Uncertain Variables Based on Polynomial Chaos Expansion Method","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2946858709","doi":"https://doi.org/10.1109/access.2019.2919714","mag":"2946858709"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2919714","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2919714","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08725484.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08725484.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101448218","display_name":"Chan Qiu","orcid":"https://orcid.org/0000-0003-0393-2199"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chan Qiu","raw_affiliation_strings":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110602401","display_name":"Xiang Peng","orcid":"https://orcid.org/0000-0002-8244-2202"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang Peng","raw_affiliation_strings":["Key Laboratory of E&M, Zhejiang University of Technology, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of E&M, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100405185","display_name":"Zhenyu Liu","orcid":"https://orcid.org/0000-0003-2463-4553"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyu Liu","raw_affiliation_strings":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2463-4553","affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039962474","display_name":"Jianrong Tan","orcid":"https://orcid.org/0000-0002-7425-341X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianrong Tan","raw_affiliation_strings":["State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101448218"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6455,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75893546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"73046","last_page":"73056"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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"}},{"id":"https://openalex.org/T11874","display_name":"Structural Response to Dynamic Loads","score":0.9966999888420105,"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/T10160","display_name":"Seismic Performance and Analysis","score":0.9764000177383423,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.9480410814285278},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.7060995697975159},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.7030172944068909},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6690555214881897},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.6174919009208679},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5768821239471436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5384689569473267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5365419983863831},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5279197692871094},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.5248085260391235},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"Sensitivity analysis","score":0.47822827100753784},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"Uncertainty analysis","score":0.4709765911102295},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4683871567249298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4199831485748291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3666956126689911},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23726427555084229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07098424434661865}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.9480410814285278},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7060995697975159},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.7030172944068909},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6690555214881897},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.6174919009208679},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5768821239471436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5384689569473267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5365419983863831},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5279197692871094},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.5248085260391235},{"id":"https://openalex.org/C176147448","wikidata":"https://www.wikidata.org/wiki/Q1889114","display_name":"Sensitivity analysis","level":3,"score":0.47822827100753784},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.4709765911102295},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4683871567249298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4199831485748291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3666956126689911},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23726427555084229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07098424434661865},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2919714","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2919714","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08725484.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:84a05b07adc745e292e66b14124898d3","is_oa":true,"landing_page_url":"https://doaj.org/article/84a05b07adc745e292e66b14124898d3","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":"IEEE Access, Vol 7, Pp 73046-73056 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2919714","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2919714","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08725484.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G111286973","display_name":null,"funder_award_id":"2017YFB0603704","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2202041233","display_name":null,"funder_award_id":"51875525","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3195217982","display_name":null,"funder_award_id":"51875517","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5466942585","display_name":null,"funder_award_id":"LY18E050020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G843588606","display_name":null,"funder_award_id":"2019FZA4004","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8439801621","display_name":null,"funder_award_id":"LY18E050020","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946858709.pdf","grobid_xml":"https://content.openalex.org/works/W2946858709.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W100464641","https://openalex.org/W1967213492","https://openalex.org/W1980764637","https://openalex.org/W1981117759","https://openalex.org/W2008873221","https://openalex.org/W2019157359","https://openalex.org/W2049774453","https://openalex.org/W2051755235","https://openalex.org/W2060953097","https://openalex.org/W2077780148","https://openalex.org/W2082392699","https://openalex.org/W2088765131","https://openalex.org/W2090171599","https://openalex.org/W2092047866","https://openalex.org/W2097927798","https://openalex.org/W2101250004","https://openalex.org/W2113337191","https://openalex.org/W2116070526","https://openalex.org/W2131733133","https://openalex.org/W2141755357","https://openalex.org/W2159473410","https://openalex.org/W2177223917","https://openalex.org/W2183873878","https://openalex.org/W2214303545","https://openalex.org/W2460653190","https://openalex.org/W2481413485","https://openalex.org/W2517755966","https://openalex.org/W2528287836","https://openalex.org/W2529990031","https://openalex.org/W2539112251","https://openalex.org/W2556531436","https://openalex.org/W2562059375","https://openalex.org/W2571208790","https://openalex.org/W2588767931","https://openalex.org/W2594574444","https://openalex.org/W2602225871","https://openalex.org/W2618726235","https://openalex.org/W2620646788","https://openalex.org/W2757649615","https://openalex.org/W2759800156","https://openalex.org/W2769022339","https://openalex.org/W2771032237","https://openalex.org/W2787663232","https://openalex.org/W2789861000","https://openalex.org/W2789933691","https://openalex.org/W2791288678","https://openalex.org/W2809519287","https://openalex.org/W2890388570","https://openalex.org/W2899554410","https://openalex.org/W2900296114","https://openalex.org/W2963077925"],"related_works":["https://openalex.org/W4249135812","https://openalex.org/W2116089868","https://openalex.org/W93577605","https://openalex.org/W2014910883","https://openalex.org/W2033170585","https://openalex.org/W1991803138","https://openalex.org/W337241763","https://openalex.org/W1983007452","https://openalex.org/W4387046439","https://openalex.org/W3128892391"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,7,65,78,103,111],"characterizing":[3],"the":[4,55,61,72,88,101,104,109,112,117,129],"sensitivity":[5,76],"indices":[6,77],"structural":[8],"performance":[9],"considering":[10],"random":[11,28,66,79],"and":[12,35,67,74,80,94],"interval":[13,40,68,81],"uncertainty":[14,33,41,63,69,82],"variables":[15,29,42,83],"simultaneously":[16],"is":[17,24,51],"analyzed.":[18],"Data-driven":[19],"polynomial":[20,46,57],"chaos":[21,47],"expansion":[22,48],"(PCE)":[23],"established":[25],"to":[26,38,53,99],"treat":[27],"with":[30,108,123],"arbitrary":[31],"input":[32],"information,":[34],"subsequently":[36],"extended":[37],"consider":[39],"simultaneously.":[43],"An":[44],"adaptive-sparse":[45],"calculation":[49],"algorithm":[50],"proposed":[52,105,118],"determine":[54],"appropriate":[56],"coefficients":[58],"based":[59],"on":[60],"available":[62],"information":[64],"variables.":[70],"Subsequently,":[71],"local":[73],"total":[75],"are":[84,97],"calculated":[85],"directly":[86],"using":[87],"constructed":[89],"PCE":[90],"model.":[91],"Two":[92],"numerical":[93],"engineering":[95],"examples":[96],"presented":[98],"demonstrate":[100],"effectiveness":[102],"approach.":[106],"Compared":[107],"results":[110,122],"Monte":[113],"Carlo":[114],"simulation":[115],"method,":[116],"approach":[119],"yields":[120],"excellent":[121],"significantly":[124],"reduced":[125],"computational":[126],"effort":[127],"in":[128],"three":[130],"examples.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}