{"id":"https://openalex.org/W2577367849","doi":"https://doi.org/10.1080/00207160.2017.1283021","title":"A new filled function method for unconstrained global optimization","display_name":"A new filled function method for unconstrained global optimization","publication_year":2017,"publication_date":"2017-01-20","ids":{"openalex":"https://openalex.org/W2577367849","doi":"https://doi.org/10.1080/00207160.2017.1283021","mag":"2577367849"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1283021","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1283021","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5103215627","display_name":"Haiyan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyan Liu","raw_affiliation_strings":["School of Computer Science and Technology, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339104","display_name":"Yuping Wang","orcid":"https://orcid.org/0000-0001-6868-0004"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuping Wang","raw_affiliation_strings":["School of Computer Science and Technology, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110950671","display_name":"Shiwei Guan","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiwei Guan","raw_affiliation_strings":["School of Computer Science and Technology, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102142889","display_name":"Liu Xuyan","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuyan Liu","raw_affiliation_strings":["School of Computer Science and Technology, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100339104"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":2.4927,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.88389871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"94","issue":"12","first_page":"2283","last_page":"2296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9908000230789185,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.8667843341827393},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.8351199626922607},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6202759742736816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5609644651412964},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.5596069097518921},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5468104481697083},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4487699866294861},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4297563135623932},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42852017283439636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4225753843784332},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.4191465973854065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32732993364334106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32279300689697266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08797478675842285}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.8667843341827393},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.8351199626922607},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6202759742736816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5609644651412964},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.5596069097518921},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5468104481697083},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4487699866294861},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4297563135623932},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42852017283439636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4225753843784332},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4191465973854065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32732993364334106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32279300689697266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08797478675842285},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1283021","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1283021","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1092814213","display_name":null,"funder_award_id":"61402350","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1642673906","display_name":null,"funder_award_id":"61472297","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G471571720","display_name":null,"funder_award_id":"BDZ021430","funder_id":"https://openalex.org/F4320323430","funder_display_name":"Central University of Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323430","display_name":"Central University of Technology","ror":"https://ror.org/033z08192"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W141592958","https://openalex.org/W1489476537","https://openalex.org/W1964400069","https://openalex.org/W1967178398","https://openalex.org/W1976895668","https://openalex.org/W1982905014","https://openalex.org/W1986537135","https://openalex.org/W1990485409","https://openalex.org/W1999395923","https://openalex.org/W2004252115","https://openalex.org/W2006948949","https://openalex.org/W2008013109","https://openalex.org/W2009458683","https://openalex.org/W2011264641","https://openalex.org/W2016829139","https://openalex.org/W2039687465","https://openalex.org/W2041103287","https://openalex.org/W2045050140","https://openalex.org/W2046170418","https://openalex.org/W2046297454","https://openalex.org/W2048569209","https://openalex.org/W2079480940","https://openalex.org/W2082050615","https://openalex.org/W2090963365","https://openalex.org/W2090973855","https://openalex.org/W2092725251","https://openalex.org/W2107297922","https://openalex.org/W2117842770","https://openalex.org/W2140506373","https://openalex.org/W2141268791","https://openalex.org/W2183859258","https://openalex.org/W2335939657","https://openalex.org/W3145065843","https://openalex.org/W4233980468"],"related_works":["https://openalex.org/W2992877228","https://openalex.org/W4250124476","https://openalex.org/W2121922170","https://openalex.org/W3131312709","https://openalex.org/W54027447","https://openalex.org/W2135119351","https://openalex.org/W4210838092","https://openalex.org/W2100566702","https://openalex.org/W2753416958","https://openalex.org/W101084228"],"abstract_inverted_index":{"Many":[0],"real":[1],"world":[2],"problems":[3,16],"can":[4,115,126],"be":[5,116,127],"modelled":[6],"as":[7],"optimization":[8,146],"problems.":[9,40,147],"However,":[10],"the":[11,19,42,47,86,133,153,156],"traditional":[12],"algorithms":[13,111],"for":[14,143],"these":[15],"often":[17],"encounter":[18],"problem":[20],"of":[21,39,49],"being":[22],"trapped":[23],"in":[24],"local":[25,104,109],"minima.":[26],"The":[27],"filled":[28,44,67,84,90,124,136],"function":[29,68,91,125],"method":[30],"is":[31,70,98],"an":[32],"effective":[33],"approach":[34],"to":[35,54,77,80,101],"tackle":[36],"this":[37,61],"kind":[38],"However":[41],"existing":[43],"functions":[45],"have":[46],"disadvantages":[48],"discontinuity,":[50],"non-differentiability":[51],"or":[52,82],"sensitivity":[53],"parameters":[55],"which":[56,69],"limit":[57],"their":[58],"efficiency.":[59],"In":[60],"paper,":[62],"we":[63],"proposed":[64,135,157],"a":[65,120,138],"new":[66,134,139],"continuous":[71,87,121],"and":[72,88,118,122,152],"differentiable":[73,89,123],"without":[74],"any":[75],"parameter":[76],"tune.":[78],"Compared":[79],"discontinuous":[81],"non-differentiable":[83],"functions,":[85],"mainly":[92],"has":[93],"three":[94],"advantages:":[95],"firstly,":[96],"it":[97],"not":[99],"easier":[100],"produce":[102],"extra":[103],"minima,":[105],"secondly,":[106],"more":[107,129,160],"efficient":[108],"search":[110],"using":[112],"gradient":[113],"information":[114],"applied":[117],"thirdly,":[119],"optimized":[128],"easily.":[130],"Based":[131],"on":[132],"function,":[137],"algorithm":[140,158],"was":[141,159],"designed":[142],"unconstrained":[144],"global":[145],"Numerical":[148],"experiments":[149],"were":[150],"conducted":[151],"results":[154],"show":[155],"efficient.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}