{"id":"https://openalex.org/W2492754248","doi":"https://doi.org/10.1137/15m1019131","title":"Comparison of Statistical and Deterministic Frameworks of Uncertainty Quantification","display_name":"Comparison of Statistical and Deterministic Frameworks of Uncertainty Quantification","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2492754248","doi":"https://doi.org/10.1137/15m1019131","mag":"2492754248"},"language":"en","primary_location":{"id":"doi:10.1137/15m1019131","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1019131","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1326051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078826017","display_name":"Michael Frenklach","orcid":"https://orcid.org/0000-0002-9174-3306"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Frenklach","raw_affiliation_strings":["Univ. of California, Berkeley, CA (United States)"],"affiliations":[{"raw_affiliation_string":"Univ. of California, Berkeley, CA (United States)","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076844884","display_name":"Andrew Packard","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Packard","raw_affiliation_strings":["Univ. of California, Berkeley, CA (United States)"],"affiliations":[{"raw_affiliation_string":"Univ. of California, Berkeley, CA (United States)","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083441534","display_name":"Gonzalo Garc\u00eda\u2010Donato","orcid":"https://orcid.org/0000-0002-5642-0042"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gonzalo Garcia-Donato","raw_affiliation_strings":["Univ. de Castilla-La Mancha, Albacete (Spain)"],"affiliations":[{"raw_affiliation_string":"Univ. de Castilla-La Mancha, Albacete (Spain)","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053171184","display_name":"Rui Paulo","orcid":"https://orcid.org/0000-0002-4802-527X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Paulo","raw_affiliation_strings":["Univ. Lisbon, Lisbon (Portugal)"],"affiliations":[{"raw_affiliation_string":"Univ. Lisbon, Lisbon (Portugal)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110060149","display_name":"Jerome Sacks","orcid":null},"institutions":[{"id":"https://openalex.org/I4210134730","display_name":"National Institute of Statistical Sciences","ror":"https://ror.org/03kcsjh25","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210134730"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerome Sacks","raw_affiliation_strings":["National Institute of Statistical Sciences, Washington, D.C. (United States)"],"affiliations":[{"raw_affiliation_string":"National Institute of Statistical Sciences, Washington, D.C. (United States)","institution_ids":["https://openalex.org/I4210134730"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078826017"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":3.2212,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93137197,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":"1","first_page":"875","last_page":"901"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994999766349792,"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":0.9994999766349792,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9934999942779541,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/bayesian-probability","display_name":"Bayesian probability","score":0.581634521484375},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.5731834173202515},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5072052478790283},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.4997737407684326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4894227087497711},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4353083372116089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4326878786087036},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.42940086126327515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42533060908317566},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.41876912117004395},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3345968723297119},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2371000051498413}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.581634521484375},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.5731834173202515},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5072052478790283},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.4997737407684326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4894227087497711},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4353083372116089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4326878786087036},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.42940086126327515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42533060908317566},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.41876912117004395},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3345968723297119},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2371000051498413},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1019131","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1019131","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1326051","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1326051","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1326051","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1326051","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8436096408","display_name":null,"funder_award_id":"DE-NA0002375","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1517555081","https://openalex.org/W1536497620","https://openalex.org/W1971319161","https://openalex.org/W1973333099","https://openalex.org/W1978460530","https://openalex.org/W2000230168","https://openalex.org/W2003884505","https://openalex.org/W2010927613","https://openalex.org/W2011010766","https://openalex.org/W2019143734","https://openalex.org/W2027249688","https://openalex.org/W2027319489","https://openalex.org/W2029340299","https://openalex.org/W2051770317","https://openalex.org/W2055081012","https://openalex.org/W2055366197","https://openalex.org/W2060833676","https://openalex.org/W2086858915","https://openalex.org/W2092276745","https://openalex.org/W2102117606","https://openalex.org/W2328969595"],"related_works":["https://openalex.org/W3171196943","https://openalex.org/W2032094637","https://openalex.org/W2040227828","https://openalex.org/W2358572162","https://openalex.org/W2060045818","https://openalex.org/W2626081030","https://openalex.org/W2131935101","https://openalex.org/W856257623","https://openalex.org/W2892315154","https://openalex.org/W2015408690"],"abstract_inverted_index":{"Two":[0],"different":[1],"approaches":[2,129],"to":[3,31,51,83],"the":[4,38,57,63,96,101,104,127,143,146,154,163,192],"prediction":[5,71],"problem":[6],"are":[7,43,60,130,171],"compared":[8],"employing":[9],"a":[10,132],"realistic":[11],"example---combustion":[12],"of":[13,22,48,103,136,145,153,182,189],"natural":[14],"gas---with":[15],"102":[16],"uncertain":[17],"parameters":[18,98,102,114],"and":[19,80,89,99,108,115,142,151,165,168,195,198],"76":[20],"quantities":[21],"interests.":[23],"One":[24],"approach,":[25],"termed":[26],"bound-to-bound":[27],"data":[28,50,64,167],"collaboration":[29],"(abbreviated":[30],"B2B),":[32],"deploys":[33],"semidefinite":[34],"programming":[35],"algorithms":[36],"where":[37],"initial":[39,46],"bounds":[40,47,55,69,141],"on":[41,95,100],"unknowns":[42,58],"combined":[44],"with":[45,62,159],"experimental":[49,166],"produce":[52],"new":[53,73,122],"uncertainty":[54,68],"for":[56,70,112,118],"that":[59,180],"consistent":[61],"and,":[65],"finally,":[66],"deterministic":[67],"in":[72,121,173,191],"settings.":[74,123,175],"The":[75,124,176],"other":[76],"approach":[77,194],"is":[78,156,179],"statistical":[79],"Bayesian,":[81],"referred":[82],"as":[84],"BCP":[85,147,193],"(for":[86],"Bayesian":[87],"calibration":[88],"prediction).":[90],"It":[91],"places":[92],"prior":[93],"distributions":[94,107,111,117],"unknown":[97],"measurement":[105],"error":[106],"produces":[109],"posterior":[110,116],"model":[113,119,164],"predictions":[120,125,199],"from":[126],"two":[128],"consistent;":[131],"very":[133],"large":[134],"degree":[135],"overlap":[137],"exists":[138],"between":[139],"B2B":[140],"support":[144],"predictive":[148],"distribution.":[149],"Interpretation":[150],"comparison":[152],"results":[155],"closely":[157],"connected":[158],"assumptions":[160,190],"made":[161],"about":[162],"how":[169],"they":[170],"used":[172],"both":[174,183],"principal":[177],"conclusion":[178],"use":[181],"methods":[184],"protects":[185],"against":[186],"possible":[187],"violations":[188],"conservative":[196],"specifications":[197],"using":[200],"B2B.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}