{"id":"https://openalex.org/W2517173125","doi":"https://doi.org/10.1109/tevc.2016.2599164","title":"Quantifying Variable Interactions in Continuous Optimization Problems","display_name":"Quantifying Variable Interactions in Continuous Optimization Problems","publication_year":2016,"publication_date":"2016-08-10","ids":{"openalex":"https://openalex.org/W2517173125","doi":"https://doi.org/10.1109/tevc.2016.2599164","mag":"2517173125"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2016.2599164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2016.2599164","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","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/A5048746096","display_name":"Yuan Sun","orcid":"https://orcid.org/0000-0003-2911-0070"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yuan Sun","raw_affiliation_strings":["Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-2911-0070","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025856575","display_name":"Michael Kirley","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Michael Kirley","raw_affiliation_strings":["Department of Computing and Information Systems, University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Information Systems, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067418792","display_name":"Saman Halgamuge","orcid":"https://orcid.org/0000-0002-2536-4930"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Saman K. Halgamuge","raw_affiliation_strings":["Research School of Engineering, Australian National University, Canberra, ACT, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Engineering, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048746096"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":7.1877,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.97161124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"21","issue":"2","first_page":"249","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9980999827384949,"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":0.9980999827384949,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9915000200271606,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.727136492729187},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7063022255897522},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6742281317710876},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5805020928382874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.578101396560669},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5744008421897888},{"id":"https://openalex.org/keywords/continuous-variable","display_name":"Continuous variable","score":0.48194432258605957},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.47186440229415894},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.46868374943733215},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.4519606828689575},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4379584789276123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33486831188201904},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19810131192207336},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.096416175365448}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.727136492729187},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7063022255897522},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6742281317710876},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5805020928382874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.578101396560669},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5744008421897888},{"id":"https://openalex.org/C2983394010","wikidata":"https://www.wikidata.org/wiki/Q19885330","display_name":"Continuous variable","level":2,"score":0.48194432258605957},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.47186440229415894},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.46868374943733215},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.4519606828689575},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4379584789276123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33486831188201904},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19810131192207336},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.096416175365448},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tevc.2016.2599164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2016.2599164","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"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 Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/247420","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/247420","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320974","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W56491333","https://openalex.org/W146839677","https://openalex.org/W243319620","https://openalex.org/W1486747368","https://openalex.org/W1526147035","https://openalex.org/W1545554494","https://openalex.org/W1547938166","https://openalex.org/W1561739560","https://openalex.org/W1587189474","https://openalex.org/W1595159159","https://openalex.org/W1596568617","https://openalex.org/W1599132067","https://openalex.org/W1933385826","https://openalex.org/W1972278817","https://openalex.org/W1988585341","https://openalex.org/W1994019844","https://openalex.org/W1995875735","https://openalex.org/W2003823268","https://openalex.org/W2009543464","https://openalex.org/W2015090229","https://openalex.org/W2020552506","https://openalex.org/W2026258334","https://openalex.org/W2039906176","https://openalex.org/W2044400415","https://openalex.org/W2054615849","https://openalex.org/W2060515128","https://openalex.org/W2061706483","https://openalex.org/W2062050542","https://openalex.org/W2063966510","https://openalex.org/W2075072883","https://openalex.org/W2081531630","https://openalex.org/W2090866850","https://openalex.org/W2095314857","https://openalex.org/W2102258286","https://openalex.org/W2104604585","https://openalex.org/W2106594283","https://openalex.org/W2107230221","https://openalex.org/W2114757319","https://openalex.org/W2119541953","https://openalex.org/W2121429049","https://openalex.org/W2127143521","https://openalex.org/W2137246147","https://openalex.org/W2138537392","https://openalex.org/W2144027346","https://openalex.org/W2145418868","https://openalex.org/W2147439787","https://openalex.org/W2147710851","https://openalex.org/W2150337126","https://openalex.org/W2152195021","https://openalex.org/W2162320743","https://openalex.org/W2163286715","https://openalex.org/W2165700458","https://openalex.org/W2329900911","https://openalex.org/W2904250082","https://openalex.org/W2916083864","https://openalex.org/W3023540311","https://openalex.org/W4207063358","https://openalex.org/W4293857795","https://openalex.org/W6606151798","https://openalex.org/W6640368482","https://openalex.org/W6681052026"],"related_works":["https://openalex.org/W4297582752","https://openalex.org/W4285805405","https://openalex.org/W85101999","https://openalex.org/W2391924736","https://openalex.org/W3133779647","https://openalex.org/W4291270682","https://openalex.org/W1595870065","https://openalex.org/W1560122427","https://openalex.org/W2593449396","https://openalex.org/W2780789525"],"abstract_inverted_index":{"Interactions":[0],"between":[1],"decision":[2],"variables":[3],"typically":[4],"make":[5],"an":[6,11,33,128,158],"optimization":[7,34,77,97],"problem":[8],"challenging":[9],"for":[10],"evolutionary":[12],"algorithm":[13,159,164],"(EA)":[14],"to":[15,25,42,48,68],"solve.":[16],"Exploratory":[17],"landscape":[18],"analysis":[19],"(ELA)":[20],"techniques":[21,41],"can":[22,115],"be":[23],"used":[24],"quantify":[26,69],"the":[27,70,81,106,123,133,145,162,171],"level":[28,71,134],"of":[29,72,83,89,93,102,135],"variable":[30,73,103,118,136],"interactions":[31,44,74],"in":[32,75,138],"problem.":[35,141],"However,":[36],"many":[37],"studies":[38,54],"using":[39,86],"ELA":[40,66],"investigate":[43],"have":[45],"been":[46],"limited":[47],"combinatorial":[49],"problems,":[50,91],"with":[51,99,132],"very":[52],"few":[53],"focused":[55],"on":[56,170],"continuous":[57,76,96],"variables.":[58],"In":[59],"this":[60,84],"paper,":[61],"we":[62,143],"propose":[63],"a":[64,87,139],"novel":[65],"measure":[67,85,111,154],"problems.":[78],"We":[79,120],"evaluated":[80],"efficacy":[82],"suite":[88],"benchmark":[90,172],"consisting":[92],"24":[94],"multidimensional":[95],"functions":[98],"differing":[100],"levels":[101],"interactions.":[104,119],"Significantly,":[105],"results":[107,146,169],"reveal":[108],"that":[109,122,151],"our":[110,153],"is":[112,130,155],"robust":[113],"and":[114],"accurately":[116],"identify":[117],"show":[121],"solution":[124],"quality":[125],"found":[126],"by":[127],"EA":[129],"correlated":[131],"interaction":[137],"given":[140],"Finally,":[142],"present":[144],"from":[147],"simulation":[148],"experiments":[149],"illustrating":[150],"when":[152],"embedded":[156],"into":[157],"design":[160],"framework,":[161],"enhanced":[163],"achieves":[165],"equal":[166],"or":[167],"better":[168],"functions.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}