{"id":"https://openalex.org/W4417455603","doi":"https://doi.org/10.1049/icp.2025.3407","title":"Importance sampling algorithm for generalized failure probability function","display_name":"Importance sampling algorithm for generalized failure probability function","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W4417455603","doi":"https://doi.org/10.1049/icp.2025.3407"},"language":"en","primary_location":{"id":"doi:10.1049/icp.2025.3407","doi":"https://doi.org/10.1049/icp.2025.3407","is_oa":false,"landing_page_url":"https://doi.org/10.1049/icp.2025.3407","pdf_url":null,"source":{"id":"https://openalex.org/S4404663355","display_name":"IET conference proceedings.","issn_l":"2732-4494","issn":["2732-4494"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Conference Proceedings","raw_type":"journal-article"},"volume":null,"type":"conference-paper","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/A5103254010","display_name":"Xiaomin Wu","orcid":"https://orcid.org/0000-0003-2046-3830","observed_orcids":["https://orcid.org/0000-0003-2046-3830"]},"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":"Xiaomin Wu","raw_affiliation_strings":["Northwestern Polytechnical University, School of Aeronautics, Xi\u2019an, Shaanxi, 710072, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University, School of Aeronautics, Xi\u2019an, Shaanxi, 710072, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110002882","display_name":"Zhenzhou L\u00fc","orcid":"https://orcid.org/0000-0002-5263-5767","observed_orcids":["https://orcid.org/0000-0002-5263-5767","https://orcid.org/0000-0001-8759-0178"]},"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":"Zhenzhou Lu","raw_affiliation_strings":["Northwestern Polytechnical University, School of Aeronautics, Xi\u2019an, Shaanxi, 710072, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University, School of Aeronautics, Xi\u2019an, Shaanxi, 710072, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46145251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"35","first_page":"187","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9955999851226807,"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":0.9955999851226807,"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/importance-sampling","display_name":"importance sampling","score":0.9330000281333923},{"id":"https://openalex.org/keywords/cross-entropy","display_name":"cross-entropy","score":0.7649999856948853},{"id":"https://openalex.org/keywords/fuzzy-states","display_name":"fuzzy states","score":0.5720000267028809},{"id":"https://openalex.org/keywords/kriging-surrogate-model","display_name":"Kriging surrogate model","score":0.8679999709129333},{"id":"https://openalex.org/keywords/structural-safety","display_name":"structural safety","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5906000137329102},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.566100001335144},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5504000186920166},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.534500002861023},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5296000242233276},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4796000123023987},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.45649999380111694},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4438000023365021},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.4413999915122986},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43849998712539673},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.39320001006126404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36070001125335693},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33970001339912415},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C91716921","wikidata":"https://www.wikidata.org/wiki/Q1289366","display_name":"Scale parameter","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3034000098705292},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C75373757","wikidata":"https://www.wikidata.org/wiki/Q7410160","display_name":"Sampling design","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.2906999886035919},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.2888000011444092},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C18294631","wikidata":"https://www.wikidata.org/wiki/Q2621185","display_name":"Location parameter","level":3,"score":0.2606000006198883},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1049/icp.2025.3407","doi":"https://doi.org/10.1049/icp.2025.3407","is_oa":false,"landing_page_url":"https://doi.org/10.1049/icp.2025.3407","pdf_url":null,"source":{"id":"https://openalex.org/S4404663355","display_name":"IET conference proceedings.","issn_l":"2732-4494","issn":["2732-4494"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Conference Proceedings","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Under":[0],"probabilistic":[1],"inputs":[2],"and":[3,135,146],"fuzzy":[4,143],"states,":[5],"the":[6,13,20,26,37,79,115,130,142,160,165,183,189],"generalized":[7,40,45],"failure":[8,46,144],"probability":[9,47],"function":[10,18,162],"(GFPF)":[11],"gives":[12],"GFPF":[14,38,95,174],"value":[15],"as":[16],"a":[17,53,88,108,152,177],"of":[19,75,104,141,148,164,185,191],"random-input":[21],"distribution":[22],"parameter":[23],"(DP)":[24],"within":[25],"design":[27,42,81],"domain.":[28,82],"By":[29],"quantifying":[30],"how":[31],"these":[32],"DPs":[33,76,186],"affects":[34],"structural":[35],"safety,":[36],"decouples":[39],"reliability-based":[41],"optimization":[43],"from":[44,114],"constraints.":[48],"To":[49],"efficiently":[50],"estimate":[51],"GFPF,":[52],"single-loop":[54,89],"method":[55],"utilizing":[56],"cross-entropy-based":[57],"importance":[58,66,110,120,166],"sampling":[59,67,121],"(SL-CEIS)":[60],"is":[61,70,73,91,126,155],"developed.":[62],"Initially,":[63],"an":[64,119],"optimal":[65],"density":[68,122],"(ISD)":[69],"designed,":[71],"which":[72],"independent":[74],"yet":[77],"encompasses":[78],"entire":[80],"Based":[83],"on":[84,124],"this":[85],"unified":[86,116,131],"density,":[87],"framework":[90],"proposed":[92],"whereby":[93],"different":[94],"values":[96,163],"corresponding":[97],"to":[98,128,158],"various":[99],"DP":[100],"realizations":[101],"are":[102],"capable":[103],"being":[105],"estimated":[106],"using":[107],"single":[109],"sample":[111],"pool":[112],"drawn":[113],"ISD.":[117],"Subsequently,":[118],"based":[123],"cross-entropy":[125],"formulated":[127],"approximate":[129],"ISD":[132],"with":[133,182,188],"implicit":[134],"irregular":[136],"expressions,":[137],"enabling":[138],"efficient":[139],"exploration":[140],"domain":[145],"extraction":[147],"important":[149],"samples.":[150,167],"Finally,":[151],"Kriging":[153],"model":[154],"adaptively":[156],"trained":[157],"forecast":[159],"performance":[161],"Numerical":[168],"tests":[169],"show":[170],"SL-CEIS":[171],"delivers":[172],"accurate":[173],"estimates":[175],"at":[176],"cost":[178],"that":[179],"scales":[180],"neither":[181],"dimension":[184],"nor":[187],"number":[190],"their":[192],"realizations.":[193]},"counts_by_year":[],"updated_date":"2026-09-27T08:07:27.782135","created_date":"2025-12-18T00:00:00"}
