{"id":"https://openalex.org/W4293214420","doi":"https://doi.org/10.1109/tase.2022.3200376","title":"Physics-Constrained Bayesian Optimization for Optimal Actuators Placement in Composite Structures Assembly","display_name":"Physics-Constrained Bayesian Optimization for Optimal Actuators Placement in Composite Structures Assembly","publication_year":2022,"publication_date":"2022-08-24","ids":{"openalex":"https://openalex.org/W4293214420","doi":"https://doi.org/10.1109/tase.2022.3200376"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2022.3200376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2022.3200376","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vtechworks.lib.vt.edu/bitstreams/b7a427f5-4468-4a48-92d9-db376f66cc03/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016314882","display_name":"Areej AlBahar","orcid":"https://orcid.org/0000-0003-2517-275X"},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]},{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["KW","US"],"is_corresponding":false,"raw_author_name":"Areej AlBahar","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA, USA","Department of Industrial and Management Systems Engineering, Kuwait University, Kuwait City, Kuwait"],"raw_orcid":"https://orcid.org/0000-0003-2517-275X","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Industrial and Management Systems Engineering, Kuwait University, Kuwait City, Kuwait","institution_ids":["https://openalex.org/I36721946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100681110","display_name":"Inyoung Kim","orcid":"https://orcid.org/0000-0002-5975-4582"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Inyoung Kim","raw_affiliation_strings":["Department of Statistics, Virginia Tech, Blacksburg, VA, USA"],"raw_orcid":"https://orcid.org/0000-0002-5975-4582","affiliations":[{"raw_affiliation_string":"Department of Statistics, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365501","display_name":"Xing Wang","orcid":"https://orcid.org/0000-0002-5330-5161"},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xing Wang","raw_affiliation_strings":["Department of Mathematics, Illinois State University, Normal, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Illinois State University, Normal, IL, USA","institution_ids":["https://openalex.org/I47301684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018763939","display_name":"Xiaowei Yue","orcid":"https://orcid.org/0000-0001-6019-0940"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaowei Yue","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6019-0940","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5806,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8506025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"4","first_page":"2772","last_page":"2783"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.996399998664856,"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":0.9944999814033508,"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/bayesian-optimization","display_name":"Bayesian optimization","score":0.8881321549415588},{"id":"https://openalex.org/keywords/surrogate-model","display_name":"Surrogate model","score":0.722811222076416},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.6517975926399231},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5492749214172363},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5482847690582275},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5335882902145386},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5180583000183105},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.46207311749458313},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4462232291698456},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4095318615436554},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3120644688606262},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27703630924224854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20794826745986938}],"concepts":[{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.8881321549415588},{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.722811222076416},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6517975926399231},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5492749214172363},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5482847690582275},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5335882902145386},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5180583000183105},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.46207311749458313},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4462232291698456},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4095318615436554},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3120644688606262},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27703630924224854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20794826745986938},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tase.2022.3200376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2022.3200376","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automation Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/113703","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/113703","pdf_url":"https://vtechworks.lib.vt.edu/bitstreams/b7a427f5-4468-4a48-92d9-db376f66cc03/download","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article - Refereed"}],"best_oa_location":{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/113703","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/113703","pdf_url":"https://vtechworks.lib.vt.edu/bitstreams/b7a427f5-4468-4a48-92d9-db376f66cc03/download","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article - Refereed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G214194730","display_name":"CRII: III: Advance mathematical theorems for Extreme Value and Risk Measure in Robust Intelligence","funder_award_id":"2153329","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7024379343","display_name":null,"funder_award_id":"CMMI-2035038","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7506195623","display_name":null,"funder_award_id":"2035038","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"},{"id":"https://openalex.org/G800215987","display_name":null,"funder_award_id":"N00014-19-1-2728","funder_id":"https://openalex.org/F4320306078","funder_display_name":"U.S. Department of Defense"},{"id":"https://openalex.org/G989245408","display_name":"Ultra-high Precision Assembly of Aerospace Composite Structures: Fusing Physics-Based and Data-Driven Models","funder_award_id":"2035038","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320322668","display_name":"Kuwait University","ror":"https://ror.org/021e5j056"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293214420.pdf","grobid_xml":"https://content.openalex.org/works/W4293214420.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W202805564","https://openalex.org/W1510052597","https://openalex.org/W1533803232","https://openalex.org/W1701825639","https://openalex.org/W1866206747","https://openalex.org/W2027973545","https://openalex.org/W2131792768","https://openalex.org/W2153347097","https://openalex.org/W2196562095","https://openalex.org/W2324341011","https://openalex.org/W2618029018","https://openalex.org/W2626445758","https://openalex.org/W2737488931","https://openalex.org/W2753141617","https://openalex.org/W2768445841","https://openalex.org/W2789089732","https://openalex.org/W2890818887","https://openalex.org/W2961493922","https://openalex.org/W2963935178","https://openalex.org/W2966627783","https://openalex.org/W2985931096","https://openalex.org/W2989152504","https://openalex.org/W3006837495","https://openalex.org/W3008698072","https://openalex.org/W3035278585","https://openalex.org/W3105261654","https://openalex.org/W3107643355","https://openalex.org/W3124240824","https://openalex.org/W3141903786","https://openalex.org/W3162377154","https://openalex.org/W4288376209","https://openalex.org/W4295886611","https://openalex.org/W6608206471","https://openalex.org/W6631818155","https://openalex.org/W6637653338","https://openalex.org/W6639216784","https://openalex.org/W6682399247","https://openalex.org/W6687207491","https://openalex.org/W6738082921","https://openalex.org/W6739277171","https://openalex.org/W6746977533","https://openalex.org/W6760896190","https://openalex.org/W6774037118","https://openalex.org/W6774339418","https://openalex.org/W6811223455"],"related_works":["https://openalex.org/W4380627621","https://openalex.org/W4292081304","https://openalex.org/W2950792054","https://openalex.org/W3104422856","https://openalex.org/W4206864338","https://openalex.org/W4287867179","https://openalex.org/W4237912051","https://openalex.org/W4287776349","https://openalex.org/W3175956409","https://openalex.org/W3026715030"],"abstract_inverted_index":{"Complex":[0],"constrained":[1,28,82,253],"global":[2,117,134],"optimization":[3,30,49,84,184,189,199,233,251,265,279,300],"problems":[4,147],"such":[5],"as":[6,37,168],"optimal":[7,165],"actuators":[8,108,166],"placement":[9,167],"are":[10],"extremely":[11],"challenging.":[12],"Such":[13],"challenges,":[14,43],"including":[15],"nonlinearity":[16],"and":[17,88,100,109,148,248,284,297],"nonstationarity":[18],"of":[19,26,75,81,208],"engineering":[20,151,183,198,250,277,299],"response":[21,104,209],"surfaces,":[22],"hinder":[23],"the":[24,79,103,133,164,172,235,242,249,261],"use":[25,163],"ordinary":[27],"Bayesian":[29,48,83,226,232,264],"(CBO)":[31],"techniques":[32],"with":[33,50,63,136,266],"standard":[34],"Gaussian":[35,54,67,93,269],"processes":[36],"surrogate":[38,61],"models.":[39],"To":[40],"overcome":[41],"those":[42],"we":[44,58,154,162],"propose":[45],"a":[46,60,64,114,120,149,169,191,267,273],"physics-constrained":[47,263],"multi-layer":[51,65,268],"deep":[52,66,92],"structured":[53],"processes,":[55],"MGP-CBO.":[56],"Specifically,":[57],"introduce":[59],"model":[62,77,127,175],"process":[68,94,270],"(MGP)":[69],"mean":[70],"function.":[71],"The":[72,91,124,281,289],"hierarchical":[73,238,243],"structure":[74,245],"our":[76],"enables":[78],"applicability":[80],"to":[85,132,179,187,221,230,294],"complex":[86,181,296],"nonlinear":[87],"nonstationary":[89,182,298],"processes.":[90],"regression":[95],"model,":[96],"MGP,":[97],"can":[98,128,176],"efficiently":[99],"effectively":[101],"represent":[102],"surface":[105],"function":[106],"between":[107],"dimensional":[110],"deformations,":[111],"thus":[112],"yielding":[113],"better":[115],"estimated":[116],"optimum":[118,135],"in":[119,217],"shorter":[121],"computational":[122,282],"time.":[123],"proposed":[125,173,262,290],"MGP-CBO":[126,157,174],"realize":[129],"faster":[130],"convergence":[131,283],"lower":[137],"constraint":[138],"violations.":[139],"Through":[140],"extensive":[141],"evaluations":[142],"carried":[143],"out":[144],"on":[145,205],"synthetic":[146],"real-world":[150],"design":[152,195,278],"problem,":[153],"show":[155],"that":[156],"outperforms":[158],"existing":[159],"benchmarks.":[160],"Although":[161],"demonstration":[170],"example,":[171],"be":[177],"applied":[178],"other":[180],"problems.":[185,280,301],"Note":[186],"Practitioners\u2014Bayesian":[188],"is":[190,246,252,292],"widely":[192],"used":[193],"sequential":[194],"strategy":[196],"for":[197,276],"because":[200],"it":[201],"does":[202],"not":[203],"rely":[204],"functional":[206],"forms":[207],"surfaces.":[210],"This":[211],"paper":[212],"helps":[213],"address":[214],"two":[215],"questions":[216],"practice:":[218],"(i)":[219],"how":[220],"incorporate":[222],"physics":[223],"constraints":[224],"into":[225],"optimization.":[227],"(ii)":[228],"How":[229],"do":[231],"when":[234],"systems":[236],"have":[237,286],"structures.":[239],"In":[240],"practice,":[241],"system":[244],"ubiquitous,":[247],"by":[254],"physical":[255],"laws":[256],"or":[257],"special":[258],"requirements.":[259],"Therefore,":[260],"could":[271],"provide":[272],"new":[274],"tool":[275],"complexity":[285],"been":[287],"investigated.":[288],"method":[291],"applicable":[293],"broad":[295]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}