{"id":"https://openalex.org/W2951908478","doi":"https://doi.org/10.48550/arxiv.1807.09979","title":"Bayesian Optimal Design of Experiments For Inferring The Statistical Expectation Of A Black-Box Function","display_name":"Bayesian Optimal Design of Experiments For Inferring The Statistical Expectation Of A Black-Box Function","publication_year":2018,"publication_date":"2018-07-26","ids":{"openalex":"https://openalex.org/W2951908478","doi":"https://doi.org/10.48550/arxiv.1807.09979","mag":"2951908478"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1807.09979","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.09979","pdf_url":"https://arxiv.org/pdf/1807.09979","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1807.09979","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025062741","display_name":"Piyush Pandita","orcid":"https://orcid.org/0000-0002-2985-8794","observed_orcids":["https://orcid.org/0000-0002-2985-8794"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pandita, Piyush","raw_affiliation_strings":["PURDUE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PURDUE UNIVERSITY","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043072708","display_name":"Ilias Bilionis","orcid":"https://orcid.org/0000-0002-5266-105X","observed_orcids":["https://orcid.org/0000-0002-5266-105X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bilionis, Ilias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036201536","display_name":"Jitesh H. Panchal","orcid":"https://orcid.org/0000-0003-4873-3089","observed_orcids":["https://orcid.org/0000-0003-4873-3089"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Panchal, Jitesh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.951200008392334,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.951200008392334,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.01640000008046627,"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":0.014000000432133675,"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/black-box-functions","display_name":"black-box functions","score":0.7549999952316284},{"id":"https://openalex.org/keywords/expected-information-gain","display_name":"expected information gain","score":0.8500000238418579},{"id":"https://openalex.org/keywords/kullback-leibler-divergence","display_name":"Kullback-Leibler divergence","score":0.9470000267028809},{"id":"https://openalex.org/keywords/response-surface","display_name":"response surface","score":0.5450000166893005},{"id":"https://openalex.org/keywords/error-propagation","display_name":"error propagation","score":0.8859999775886536},{"id":"https://openalex.org/keywords/design-under-uncertainty","display_name":"design under uncertainty","score":0.9629999995231628}],"concepts":[{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.6227134466171265},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5623943209648132},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48662838339805603},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4780038893222809},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4522923529148102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4483352303504944},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.44347310066223145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4425026476383209},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39877381920814514},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3308500647544861},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19265979528427124},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1807.09979","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.09979","pdf_url":"https://arxiv.org/pdf/1807.09979","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1807.09979","doi":"https://doi.org/10.48550/arxiv.1807.09979","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1807.09979","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1807.09979","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.09979","pdf_url":"https://arxiv.org/pdf/1807.09979","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W41424113","https://openalex.org/W85584663","https://openalex.org/W164706946","https://openalex.org/W1510052597","https://openalex.org/W1576375403","https://openalex.org/W1579213377","https://openalex.org/W1584066809","https://openalex.org/W1693986406","https://openalex.org/W1746819321","https://openalex.org/W1818322095","https://openalex.org/W1958913642","https://openalex.org/W1965555277","https://openalex.org/W1966450732","https://openalex.org/W1979328769","https://openalex.org/W1985881593","https://openalex.org/W1988520084","https://openalex.org/W1991624657","https://openalex.org/W1991884749","https://openalex.org/W1998498767","https://openalex.org/W1999824796","https://openalex.org/W2001605166","https://openalex.org/W2012176413","https://openalex.org/W2014018052","https://openalex.org/W2018044188","https://openalex.org/W2018386633","https://openalex.org/W2019143734","https://openalex.org/W2025967929","https://openalex.org/W2031724906","https://openalex.org/W2035814907","https://openalex.org/W2038669746","https://openalex.org/W2045958967","https://openalex.org/W2063180182","https://openalex.org/W2063397409","https://openalex.org/W2072302356","https://openalex.org/W2076580309","https://openalex.org/W2078394884","https://openalex.org/W2092127669","https://openalex.org/W2097441841","https://openalex.org/W2099111195","https://openalex.org/W2101687185","https://openalex.org/W2111526171","https://openalex.org/W2112147653","https://openalex.org/W2112538788","https://openalex.org/W2115305054","https://openalex.org/W2116070526","https://openalex.org/W2125107816","https://openalex.org/W2131824593","https://openalex.org/W2139983718","https://openalex.org/W2149729824","https://openalex.org/W2170341113","https://openalex.org/W2212429907","https://openalex.org/W2337228579","https://openalex.org/W2343765104","https://openalex.org/W2346505884","https://openalex.org/W2402456051","https://openalex.org/W2520677569","https://openalex.org/W2551622197","https://openalex.org/W2592279581","https://openalex.org/W2606528442","https://openalex.org/W2624092607","https://openalex.org/W2696437456","https://openalex.org/W2736603015","https://openalex.org/W2753043552","https://openalex.org/W2770570068","https://openalex.org/W2794072378","https://openalex.org/W2796676086","https://openalex.org/W2808872083","https://openalex.org/W2865193683"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2177370417","https://openalex.org/W2047881532","https://openalex.org/W2052507016","https://openalex.org/W2285795935","https://openalex.org/W2180461068","https://openalex.org/W2051816080","https://openalex.org/W4389072557","https://openalex.org/W4319452366","https://openalex.org/W4293695278"],"abstract_inverted_index":{"Bayesian":[0],"optimal":[1,97],"design":[2,67,88],"of":[3,15,56,62,75,131,137,150,166,172,186,201,207],"experiments":[4],"(BODE)":[5],"has":[6],"been":[7],"successful":[8],"in":[9,46,84,106],"acquiring":[10],"information":[11,104,112,180],"about":[12,182],"a":[13,21,53,68,76,115,160,173,187,211],"quantity":[14],"interest":[16],"(QoI)":[17],"which":[18],"depends":[19],"on":[20,142,155,195,210],"black-box":[22,58],"function.":[23,59],"BODE":[24,43,69,98,192],"is":[25,65,82,94,140,153,169,193],"characterized":[26],"by":[27,36],"sequentially":[28],"querying":[29],"the":[30,57,72,102,107,111,119,124,127,132,138,143,147,151,156,170,178,183,205,208],"function":[31],"at":[32],"specific":[33,47],"designs":[34],"selected":[35],"an":[37,96],"infill-sampling":[38],"criterion.":[39],"However,":[40],"most":[41],"current":[42],"methods":[44],"operate":[45],"contexts":[48],"like":[49],"optimization,":[50],"or":[51],"learning":[52],"universal":[54],"representation":[55],"The":[60,134,163,190],"objective":[61],"this":[63,167],"paper":[64,168],"to":[66],"for":[70,177],"estimating":[71],"statistical":[73,184],"expectation":[74,185],"physical":[77,188],"response":[78],"surface.":[79],"This":[80],"QoI":[81,139,152],"omnipresent":[83],"uncertainty":[85,90],"propagation":[86],"and":[87,126,146,159],"under":[89],"problems.":[91],"Our":[92],"hypothesis":[93],"that":[95],"should":[99],"be":[100],"maximizing":[101],"expected":[103,179],"gain":[105,113,181],"QoI.":[108,133],"We":[109,203],"represent":[110],"from":[114],"hypothetical":[116,161],"experiment":[117],"as":[118],"Kullback-Liebler":[120],"(KL)":[121],"divergence":[122],"between":[123],"prior":[125,135],"posterior":[128,148],"probability":[129],"distributions":[130],"distribution":[136,149],"conditioned":[141,154],"observed":[144,157],"data":[145,158],"experiment.":[162],"main":[164],"contribution":[165],"derivation":[171],"semi-analytic":[174],"mathematical":[175],"formula":[176],"response.":[189],"developed":[191],"validated":[194],"synthetic":[196],"functions":[197],"with":[198],"varying":[199],"number":[200],"input-dimensions.":[202],"demonstrate":[204],"performance":[206],"methodology":[209],"steel":[212],"wire":[213],"manufacturing":[214],"problem.":[215]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2019-06-27T00:00:00"}