{"id":"https://openalex.org/W4224923095","doi":"https://doi.org/10.1115/1.4054440","title":"Reducing the Search Space for Global Minimum: A Focused Regions Identification Method for Least Squares Parameter Estimation in Nonlinear Models","display_name":"Reducing the Search Space for Global Minimum: A Focused Regions Identification Method for Least Squares Parameter Estimation in Nonlinear Models","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W4224923095","doi":"https://doi.org/10.1115/1.4054440"},"language":"en","primary_location":{"id":"doi:10.1115/1.4054440","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4054440","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058534618","display_name":"Guanglu Zhang","orcid":"https://orcid.org/0000-0002-1203-2267"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guanglu Zhang","raw_affiliation_strings":["Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015668401","display_name":"Douglas Allaire","orcid":"https://orcid.org/0000-0003-3460-8412"},"institutions":[{"id":"https://openalex.org/I4210164117","display_name":"Walker (United States)","ror":"https://ror.org/05hgh7849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210164117"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas Allaire","raw_affiliation_strings":["Texas A&M University J. Mike Walker \u201866 Department of Mechanical Engineering, , College Station, TX 77843"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M University J. Mike Walker \u201866 Department of Mechanical Engineering, , College Station, TX 77843","institution_ids":["https://openalex.org/I91045830","https://openalex.org/I4210164117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065865377","display_name":"Jonathan Cagan","orcid":"https://orcid.org/0000-0002-3935-9219"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Cagan","raw_affiliation_strings":["Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6966,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.6328999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"23","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.9502999782562256,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9394000172615051,"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/estimator","display_name":"Estimator","score":0.757580578327179},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.7032321095466614},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.6246046423912048},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5730991363525391},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5618215203285217},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.55619877576828},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5069403648376465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4978213310241699},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.46385881304740906},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.4472801685333252},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.43543094396591187},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.43151822686195374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39354774355888367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3119133710861206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2901163101196289},{"id":"https://openalex.org/keywords/model-parameter","display_name":"Model parameter","score":0.25957226753234863},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22771981358528137},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.11014249920845032},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08191388845443726}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.757580578327179},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.7032321095466614},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6246046423912048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5730991363525391},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5618215203285217},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.55619877576828},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5069403648376465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4978213310241699},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.46385881304740906},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.4472801685333252},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.43543094396591187},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.43151822686195374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39354774355888367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3119133710861206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2901163101196289},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.25957226753234863},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22771981358528137},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.11014249920845032},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08191388845443726},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4054440","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4054440","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8595532071","display_name":null,"funder_award_id":"FA9550-18-0088","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1497432777","https://openalex.org/W1512208174","https://openalex.org/W1893275031","https://openalex.org/W1986119538","https://openalex.org/W2008903202","https://openalex.org/W2024060531","https://openalex.org/W2047747213","https://openalex.org/W2054979333","https://openalex.org/W2057667075","https://openalex.org/W2063731290","https://openalex.org/W2070779353","https://openalex.org/W2071467620","https://openalex.org/W2087070363","https://openalex.org/W2097571405","https://openalex.org/W2104670598","https://openalex.org/W2105859139","https://openalex.org/W2171074980","https://openalex.org/W2256578114","https://openalex.org/W2326565381","https://openalex.org/W2480669121","https://openalex.org/W2496072096","https://openalex.org/W2498631646","https://openalex.org/W2503054239","https://openalex.org/W2517308042","https://openalex.org/W3093733364","https://openalex.org/W3142290721","https://openalex.org/W4229522849","https://openalex.org/W4246598646","https://openalex.org/W4248681815","https://openalex.org/W4302364527","https://openalex.org/W4302564868","https://openalex.org/W4388251328","https://openalex.org/W6682642761"],"related_works":["https://openalex.org/W2026673180","https://openalex.org/W1959514624","https://openalex.org/W200101083","https://openalex.org/W2939592218","https://openalex.org/W2359835307","https://openalex.org/W327962130","https://openalex.org/W1997338499","https://openalex.org/W2589353378","https://openalex.org/W4378552425","https://openalex.org/W2403457131"],"abstract_inverted_index":{"Abstract":[0],"Important":[1],"for":[2,77,128],"many":[3],"science":[4],"and":[5,68,140,206,234,240],"engineering":[6],"fields,":[7],"meaningful":[8],"nonlinear":[9,31,83,134],"models":[10,15,32],"result":[11],"from":[12],"fitting":[13,138],"such":[14],"to":[16,46,90,107,168,212],"data":[17,215],"by":[18],"estimating":[19],"the":[20,26,48,93,101,108,112,116,143,147,153,159,170,179,207,223,230,235],"value":[21],"of":[22,111,115,142,146,204],"each":[23],"parameter":[24,50,80,94,103,131,156,161,172,232],"in":[25,30,82,133,155,178,196],"model.":[27],"Since":[28],"parameters":[29],"often":[33],"characterize":[34],"a":[35,38,56,121,198],"substance":[36],"or":[37,54],"system":[39],"(e.g.,":[40,65,71],"mass":[41],"diffusivity),":[42],"it":[43],"is":[44,126,190],"critical":[45],"find":[47,169,229],"optimal":[49,102,160,171,231],"estimators":[51,95,104,162,173,233],"that":[52,105,222],"minimize":[53],"maximize":[55],"chosen":[57],"objective":[58],"function.":[59],"In":[60,118],"practice,":[61],"iterative":[62],"local":[63],"methods":[64,70,99],"Levenberg\u2013Marquardt":[66],"method)":[67],"heuristic":[69],"genetic":[72],"algorithms)":[73],"are":[74,87,100,166,210],"commonly":[75],"employed":[76],"least":[78,129],"squares":[79,130],"estimation":[81,132],"models.":[84,135],"However,":[85],"practitioners":[86],"not":[88],"able":[89],"know":[91],"whether":[92],"derived":[96],"through":[97,174,192],"these":[98],"correspond":[106],"global":[109,237],"minimum":[110,238],"squared":[113,144],"error":[114,145],"fit.":[117],"this":[119,149],"paper,":[120],"focused":[122,183,186,224],"regions":[123,154,181,187,225],"identification":[124,188,226],"method":[125,150,189,227],"introduced":[127],"Using":[136],"expected":[137],"accuracy":[139],"derivatives":[141],"fit,":[148],"rules":[151],"out":[152],"space":[157],"where":[158],"cannot":[163],"exist.":[164],"Practitioners":[165],"guaranteed":[167],"an":[175],"exhaustive":[176],"search":[177],"remaining":[180],"(i.e.,":[182],"regions).":[184],"The":[185],"validated":[191],"two":[193,213],"case":[194,219],"studies":[195,220],"which":[197],"model":[199,209],"based":[200],"on":[201],"Newton\u2019s":[202],"law":[203],"cooling":[205],"Michaelis\u2013Menten":[208],"fitted":[211],"experimental":[214],"sets,":[216],"respectively.":[217],"These":[218],"show":[221],"can":[228],"corresponding":[236],"effectively":[239],"efficiently.":[241]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
