{"id":"https://openalex.org/W4403995591","doi":"https://doi.org/10.1007/s10898-026-01607-8","title":"Aggregation of bilinear bipartite equality constraints and its application to structural model updating problem","display_name":"Aggregation of bilinear bipartite equality constraints and its application to structural model updating problem","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W4403995591","doi":"https://doi.org/10.1007/s10898-026-01607-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-026-01607-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-026-01607-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10898-026-01607-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065333203","display_name":"S. Dey","orcid":"https://orcid.org/0000-0003-2997-3829"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Santanu S. Dey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Dahye Han","orcid":"https://orcid.org/0009-0006-5782-6278"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dahye Han","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0006-5782-6278","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100322677","display_name":"Yang Wang","orcid":"https://orcid.org/0000-0002-3864-0834"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01335758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"94","issue":"4","first_page":"1099","last_page":"1135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.8604999780654907,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.8604999780654907,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.880403995513916},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.8399014472961426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4348231256008148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3673660159111023},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3523288667201996},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23664161562919617},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14017948508262634}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.880403995513916},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.8399014472961426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4348231256008148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3673660159111023},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3523288667201996},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23664161562919617},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14017948508262634},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-026-01607-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-026-01607-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2410.14163","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.14163","pdf_url":"https://arxiv.org/pdf/2410.14163","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2410.14163","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.14163","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10898-026-01607-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-026-01607-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4138600875","display_name":"Frequency-Domain Model Updating through Branch and Bound with Convex Relaxation","funder_award_id":"2211343","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4346851673","display_name":null,"funder_award_id":"2211343","funder_id":"https://openalex.org/F4320332170","funder_display_name":"Directorate for Engineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332170","display_name":"Directorate for Engineering","ror":"https://ror.org/00b6sbb32"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2165589608","https://openalex.org/W2371352078","https://openalex.org/W3093557575","https://openalex.org/W2953461625","https://openalex.org/W2354231916","https://openalex.org/W3182767856","https://openalex.org/W1979597421"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,239],"paper,":[3],"we":[4,75,163,221],"study":[5,50],"the":[6,30,34,42,51,72,96,126,129,158,194,203,223,231],"strength":[7],"of":[8,14,16,32,98,101,105,128,132,136,160,197,206],"convex":[9,63,99,130,176,185,195,228],"relaxations":[10],"obtained":[11,124],"by":[12,23,37,95],"convexification":[13],"aggregation":[15,52,169,199,224],"constraints":[17,36,44],"for":[18,230],"a":[19,57,102,244],"set":[20],"S":[21],"described":[22,94],"two":[24],"bilinear":[25,59],"bipartite":[26,60],"equalities.":[27],"Aggregation":[28],"is":[29,47,65],"process":[31,159],"rescaling":[33],"original":[35],"scalar":[38],"weights":[39,170],"and":[40,138,236],"adding":[41],"scaled":[43],"together.":[45],"It":[46],"natural":[48],"to":[49,167,173,226,249],"technique":[53],"as":[54,125,247],"it":[55],"yields":[56,240],"single":[58],"equality":[61],"whose":[62],"hull":[64,131,186,196],"already":[66],"understood":[67],"from":[68,157],"previous":[69],"literature.":[70],"On":[71],"theoretical":[73],"side,":[74],"present":[76],"sufficient":[77],"conditions":[78],"when":[79,108,140],"$$\\text":[80,109,141,207],"{conv}":[81,110,142,208],"(S)$$":[82,111,143,209],"<mml:math":[83,112,144,210],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[84,113,145,211],"<mml:mrow>":[85,114,146,212],"<mml:mtext>conv</mml:mtext>":[86,115,147,213],"<mml:mo>(</mml:mo>":[87,116,148,214],"<mml:mi>S</mml:mi>":[88,117,149,215],"<mml:mo>)</mml:mo>":[89,118,150,216],"</mml:mrow>":[90,119,151,217],"</mml:math>":[91,120,152,218],"can":[92,121],"be":[93,123,154,189],"intersection":[97,127],"hulls":[100],"finite":[103],"number":[104,135],"aggregations,":[106,137,192],"examples":[107,139],"only":[122],"an":[133,183,198],"infinite":[134],"cannot":[153],"achieved":[155,190],"exactly":[156],"aggregation.":[161],"Computationally,":[162],"explore":[164],"different":[165],"methods":[166],"derive":[168],"in":[171],"order":[172],"obtain":[174,227],"tight":[175],"relaxations.":[177],"We":[178],"show":[179,237],"that":[180,238],"even":[181],"if":[182],"exact":[184],"may":[187],"not":[188,250],"using":[191,251],"including":[193],"often":[200],"significantly":[201],"tightens":[202],"outer":[204],"approximation":[205],".":[219],"Finally,":[220],"apply":[222],"method":[225],"relaxation":[229],"structural":[232],"model":[233],"updating":[234],"problem":[235],"better":[241],"bounds":[242],"within":[243],"branch-and-bound":[245],"tree":[246],"compared":[248],"aggregations.":[252]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
