{"id":"https://openalex.org/W2964037800","doi":"https://doi.org/10.1137/151005841","title":"A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties","display_name":"A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2964037800","doi":"https://doi.org/10.1137/151005841","mag":"2964037800"},"language":"en","primary_location":{"id":"doi:10.1137/151005841","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151005841","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/servlets/purl/1405142","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052368885","display_name":"Rui Tuo","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui Tuo","raw_affiliation_strings":["Chinese Academy of Sciences (CAS), Beijing (China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences (CAS), Beijing (China)","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045980590","display_name":"Changbao Wu","orcid":"https://orcid.org/0000-0001-6122-4225"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. F. Jeff Wu","raw_affiliation_strings":["Georgia Inst. of Technology, Atlanta, GA (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Inst. of Technology, Atlanta, GA (United States)","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052368885"],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":null,"apc_paid":null,"fwci":12.9776,"has_fulltext":true,"cited_by_count":115,"citation_normalized_percentile":{"value":0.9882785,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"4","issue":"1","first_page":"767","last_page":"795"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9945999979972839,"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/identifiability","display_name":"Identifiability","score":0.8668016791343689},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.7077640295028687},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.6085647344589233},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5966750383377075},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5653012990951538},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5638946890830994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5324503183364868},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5052178502082825},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4770866334438324},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4346710443496704},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37399527430534363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3475552797317505},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1787109375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16276174783706665},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11867830157279968},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08018854260444641}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8668016791343689},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.7077640295028687},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.6085647344589233},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5966750383377075},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5653012990951538},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5638946890830994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5324503183364868},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5052178502082825},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4770866334438324},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4346710443496704},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37399527430534363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3475552797317505},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1787109375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16276174783706665},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11867830157279968},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08018854260444641},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/151005841","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151005841","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:1405142","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1405142","pdf_url":"https://www.osti.gov/servlets/purl/1405142","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:1405142","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1405142","pdf_url":"https://www.osti.gov/servlets/purl/1405142","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/G1645119126","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3593459223","display_name":"Computer Experiments with Tuning or Calibration Parameters: Modeling, Estimation and Design","funder_award_id":"1308424","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3841132129","display_name":null,"funder_award_id":"ERKJ259","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4423657506","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320338287","funder_display_name":"Oak Ridge National Laboratory"},{"id":"https://openalex.org/G5680552350","display_name":null,"funder_award_id":"ERKJ259","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G7385816028","display_name":null,"funder_award_id":"DMS-1308424","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8179079258","display_name":null,"funder_award_id":"11271355","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8628525006","display_name":null,"funder_award_id":"DE-SC0010548","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8906985441","display_name":null,"funder_award_id":"00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8943143067","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306250","display_name":"Battelle","ror":"https://ror.org/01h5tnr73"},{"id":"https://openalex.org/F4320316892","display_name":"UT-Battelle","ror":"https://ror.org/04nza6677"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336876","display_name":"National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences","ror":"https://ror.org/00s97k668"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338287","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2964037800.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W34339474","https://openalex.org/W1486164486","https://openalex.org/W1559907478","https://openalex.org/W1597405158","https://openalex.org/W1680603978","https://openalex.org/W1973333099","https://openalex.org/W1982668418","https://openalex.org/W1992870395","https://openalex.org/W2003884505","https://openalex.org/W2018044188","https://openalex.org/W2022806724","https://openalex.org/W2027319489","https://openalex.org/W2044571476","https://openalex.org/W2077545453","https://openalex.org/W2078454401","https://openalex.org/W2092612581","https://openalex.org/W2105643446","https://openalex.org/W2119268271","https://openalex.org/W2131793865","https://openalex.org/W2132111366","https://openalex.org/W2166552921","https://openalex.org/W2168464387","https://openalex.org/W2275150912","https://openalex.org/W2963045461","https://openalex.org/W2964172739","https://openalex.org/W3099125944"],"related_works":["https://openalex.org/W2552927602","https://openalex.org/W1696530612","https://openalex.org/W2676224817","https://openalex.org/W1974129636","https://openalex.org/W2552635486","https://openalex.org/W1598584175","https://openalex.org/W3006948849","https://openalex.org/W3214883977","https://openalex.org/W1998523300","https://openalex.org/W2173736524"],"abstract_inverted_index":{"Calibration":[0],"parameters":[1],"in":[2,17],"deterministic":[3],"computer":[4,53],"experiments":[5,51],"are":[6,14,138],"those":[7],"attributes":[8],"that":[9,87],"cannot":[10],"be":[11,105,124],"measured":[12],"or":[13],"not":[15],"available":[16],"physical":[18,50],"experiments.":[19],"Kennedy":[20,24],"and":[21,25,52,70,126,134],"O'Hagan":[22],"[M.C.":[23],"A.":[26],"O'Hagan,":[27],"J.":[28],"R.":[29],"Stat.":[30,34],"Soc.":[31],"Ser.":[32],"B":[33],"Methodol.,":[35],"63":[36],"(2001),":[37],"pp.":[38],"425--464]":[39],"suggested":[40],"an":[41],"approach":[42],"to":[43,63,98,123,140],"estimating":[44],"them":[45],"by":[46,107],"using":[47],"data":[48],"from":[49],"simulations.":[54],"A":[55,113,131],"theoretical":[56],"framework":[57],"is":[58,85,120],"given":[59],"which":[60],"allows":[61],"us":[62],"study":[64],"the":[65,74,92,109,142,145],"issues":[66],"of":[67,91,144],"parameter":[68],"identifiability":[69],"estimation.":[71],"We":[72],"define":[73],"$L_2$-consistency":[75],"for":[76,81],"calibration":[77,82,115],"as":[78],"a":[79,88],"justification":[80],"methods.":[83],"It":[84],"shown":[86],"simplified":[89],"version":[90],"original":[93,110],"Kennedy--O'Hagan":[94],"(KO)":[95],"method":[96],"leads":[97],"asymptotically":[99],"$L_2$-inconsistent":[100],"calibration.":[101],"This":[102],"$L_2$-inconsistency":[103,146],"can":[104],"remedied":[106],"modifying":[108],"estimation":[111],"procedure.":[112],"novel":[114],"method,":[116],"called":[117],"$L_2$":[118],"calibration,":[119],"proposed,":[121],"proven":[122],"$L_2$-consistent,":[125],"enjoys":[127],"optimal":[128],"convergence":[129],"rate.":[130],"numerical":[132],"example":[133],"some":[135],"mathematical":[136],"analysis":[137],"used":[139],"illustrate":[141],"source":[143],"problem.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":12},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
