{"id":"https://openalex.org/W2967355091","doi":"https://doi.org/10.1109/cec.2019.8790148","title":"When Cooperative Co-Evolution Meets Coordinate Descent: Theoretically Deeper Understandings and Practically Better Implementations","display_name":"When Cooperative Co-Evolution Meets Coordinate Descent: Theoretically Deeper Understandings and Practically Better Implementations","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2967355091","doi":"https://doi.org/10.1109/cec.2019.8790148","mag":"2967355091"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2019.8790148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2019.8790148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-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/A5089014957","display_name":"Qiqi Duan","orcid":"https://orcid.org/0000-0002-4518-1701"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiqi Duan","raw_affiliation_strings":["Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100965569","display_name":"Chang Shao","orcid":"https://orcid.org/0000-0002-1065-3537"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang Shao","raw_affiliation_strings":["Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100696183","display_name":"Zhaojun Li","orcid":"https://orcid.org/0000-0002-2755-7592"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Qu","raw_affiliation_strings":["Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000919145","display_name":"Yuhui Shi","orcid":"https://orcid.org/0000-0002-8840-723X"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhui Shi","raw_affiliation_strings":["Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Computational Intelligence, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024053576","display_name":"Ben Niu","orcid":"https://orcid.org/0000-0001-5822-8743"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ben Niu","raw_affiliation_strings":["College of Management, Shenzhen University, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Management, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5089014957"],"corresponding_institution_ids":["https://openalex.org/I3045169105"],"apc_list":null,"apc_paid":null,"fwci":0.7254,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78737646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":null,"first_page":"721","last_page":"730"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994999766349792,"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":0.9977999925613403,"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":0.9968000054359436,"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/differentiable-function","display_name":"Differentiable function","score":0.6729750633239746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6669248342514038},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5832098126411438},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.5308486223220825},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5154843926429749},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.4965534806251526},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4942317306995392},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47120803594589233},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.471056193113327},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4686635732650757},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4323945641517639},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4195362329483032},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4161915183067322},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40216371417045593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30952757596969604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2647417485713959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2247713804244995}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6729750633239746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6669248342514038},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5832098126411438},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.5308486223220825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5154843926429749},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.4965534806251526},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4942317306995392},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47120803594589233},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.471056193113327},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4686635732650757},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4323945641517639},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4195362329483032},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4161915183067322},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40216371417045593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30952757596969604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2647417485713959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2247713804244995},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2019.8790148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2019.8790148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":102,"referenced_works":["https://openalex.org/W177097005","https://openalex.org/W1482546558","https://openalex.org/W1522440472","https://openalex.org/W1540764732","https://openalex.org/W1555689267","https://openalex.org/W1567094454","https://openalex.org/W1567473651","https://openalex.org/W1588264526","https://openalex.org/W1595159159","https://openalex.org/W1599398667","https://openalex.org/W1816429301","https://openalex.org/W1859306681","https://openalex.org/W1903488793","https://openalex.org/W1971146602","https://openalex.org/W1979089199","https://openalex.org/W1996567018","https://openalex.org/W1996673440","https://openalex.org/W1997600725","https://openalex.org/W2000769684","https://openalex.org/W2013497292","https://openalex.org/W2019845896","https://openalex.org/W2022393739","https://openalex.org/W2054129049","https://openalex.org/W2064522491","https://openalex.org/W2067050450","https://openalex.org/W2067936154","https://openalex.org/W2078762661","https://openalex.org/W2095984592","https://openalex.org/W2099471712","https://openalex.org/W2099815253","https://openalex.org/W2100211715","https://openalex.org/W2109100253","https://openalex.org/W2109940662","https://openalex.org/W2112036188","https://openalex.org/W2118840131","https://openalex.org/W2121429049","https://openalex.org/W2122689321","https://openalex.org/W2129272928","https://openalex.org/W2129822022","https://openalex.org/W2129936995","https://openalex.org/W2135046866","https://openalex.org/W2137143026","https://openalex.org/W2138076440","https://openalex.org/W2143299520","https://openalex.org/W2145297839","https://openalex.org/W2145418868","https://openalex.org/W2148067905","https://openalex.org/W2151554678","https://openalex.org/W2155005783","https://openalex.org/W2159675439","https://openalex.org/W2163593844","https://openalex.org/W2165299997","https://openalex.org/W2213389309","https://openalex.org/W2270359741","https://openalex.org/W2271253903","https://openalex.org/W2317383798","https://openalex.org/W2330024298","https://openalex.org/W2395088808","https://openalex.org/W2408428930","https://openalex.org/W2413634576","https://openalex.org/W2466211196","https://openalex.org/W2529163417","https://openalex.org/W2575922399","https://openalex.org/W2608705546","https://openalex.org/W2624572723","https://openalex.org/W2742350709","https://openalex.org/W2769744156","https://openalex.org/W2849751101","https://openalex.org/W2883598186","https://openalex.org/W2892336140","https://openalex.org/W2902365280","https://openalex.org/W2907766883","https://openalex.org/W2916083864","https://openalex.org/W2963373786","https://openalex.org/W2963994557","https://openalex.org/W2971636810","https://openalex.org/W2997026295","https://openalex.org/W3102544512","https://openalex.org/W4234761190","https://openalex.org/W4246219036","https://openalex.org/W4247427027","https://openalex.org/W4252585259","https://openalex.org/W4256542144","https://openalex.org/W4292921873","https://openalex.org/W4320013936","https://openalex.org/W6607242664","https://openalex.org/W6638935677","https://openalex.org/W6679458411","https://openalex.org/W6680502337","https://openalex.org/W6681804199","https://openalex.org/W6688348399","https://openalex.org/W6712110036","https://openalex.org/W6714412752","https://openalex.org/W6718379498","https://openalex.org/W6719729129","https://openalex.org/W6728443872","https://openalex.org/W6742145239","https://openalex.org/W6752720143","https://openalex.org/W6755279478","https://openalex.org/W6756644816","https://openalex.org/W6757349884","https://openalex.org/W6759375221"],"related_works":["https://openalex.org/W4231704780","https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2083794993","https://openalex.org/W352609212","https://openalex.org/W4200340037","https://openalex.org/W1511772879","https://openalex.org/W4379115841","https://openalex.org/W2120447654","https://openalex.org/W2977179488"],"abstract_inverted_index":{"Decomposition-based":[0],"optimizers":[1],"have":[2],"shown":[3],"very":[4],"promising":[5],"computational":[6],"and":[7,27,50,62,82,134,180],"convergence":[8],"performance":[9,151],"on":[10,154,194],"many":[11,97],"large-scale":[12,219],"real-parameter":[13],"optimization":[14],"problems.":[15],"Among":[16],"them,":[17],"a":[18,28,75,113,185,206],"class":[19,187],"of":[20,30,48,70,120,152,188,208],"recently":[21],"proposed":[22,176,196],"cooperative":[23],"coevolutionary":[24],"algorithms":[25,35],"(CCEAs)":[26],"type":[29],"conventional":[31],"block":[32],"coordinate":[33],"descent":[34],"(BCDAs)":[36],"are":[37,101],"arguably":[38],"the":[39,46,58,86,121,130,137,147,175,195],"two":[40,200],"most":[41,119],"representative":[42],"frameworks":[43],"applied":[44],"to":[45,84,159,167,178,184,212],"minimization":[47],"non-differentiable":[49],"differentiable":[51],"objective":[52,99],"function,":[53],"respectively.":[54],"This":[55],"paper":[56],"explores":[57],"connections":[59],"between":[60],"CCEAs":[61,81,126,153,165,217],"BCDAs,":[63],"which":[64,141],"can":[65,127],"help":[66,213],"gain":[67],"deeper":[68],"understandings":[69],"CCEAs.":[71],"First,":[72],"we":[73,198],"propose":[74],"unified":[76],"analytical":[77],"framework":[78,177],"for":[79,125,171,218],"both":[80],"BCDAs":[83,148],"capture":[85,129],"common":[87],"game-theoretic":[88],"nature":[89],"by":[90],"combining":[91],"their":[92],"respective":[93],"theoretical":[94],"advances.":[95],"Second,":[96],"real-world":[98],"functions":[100,156,211],"non-additively":[102,189],"separable,":[103],"where":[104],"all":[105],"decision":[106],"variables":[107],"interact":[108],"with":[109],"each":[110],"other":[111],"in":[112,146],"direct":[114],"or":[115],"indirect":[116],"fashion.":[117],"However,":[118],"state-of-the-art":[122],"decomposition":[123],"strategies":[124],"only":[128],"simple":[131],"additive":[132],"separability":[133],"cannot":[135],"recognize":[136],"non-additive":[138],"separability,":[139],"but":[140],"has":[142],"been":[143],"widely":[144],"studied":[145],"context.":[149],"The":[150],"such":[155],"is":[157],"yet":[158],"be":[160,168],"fully":[161],"understood":[162],"since":[163],"intuitively":[164],"seem":[166],"not":[169],"suitable":[170],"them.":[172],"We":[173],"use":[174],"confirm":[179],"extend":[181],"CCEAs'":[182],"applicability":[183],"special":[186],"separable":[190],"functions.":[191],"Finally,":[192],"based":[193],"framework,":[197],"provide":[199],"practical":[201],"suggestions":[202],"as":[203,205],"well":[204],"suite":[207],"new":[209],"test":[210],"design":[214],"practically":[215],"better":[216],"optimization.":[220]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-20T06:11:20.791850","created_date":"2025-10-10T00:00:00"}