{"id":"https://openalex.org/W4213442060","doi":"https://doi.org/10.3390/sym14030447","title":"Modifications for the Differential Evolution Algorithm","display_name":"Modifications for the Differential Evolution Algorithm","publication_year":2022,"publication_date":"2022-02-23","ids":{"openalex":"https://openalex.org/W4213442060","doi":"https://doi.org/10.3390/sym14030447"},"language":"en","primary_location":{"id":"doi:10.3390/sym14030447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030447","pdf_url":"https://www.mdpi.com/2073-8994/14/3/447/pdf?version=1646049519","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/3/447/pdf?version=1646049519","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083492419","display_name":"Vasileios Charilogis","orcid":null},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Vasileios Charilogis","raw_affiliation_strings":["Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010283810","display_name":"Ioannis G. Tsoulos","orcid":"https://orcid.org/0000-0002-2343-2733"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Ioannis G. Tsoulos","raw_affiliation_strings":["Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000270870","display_name":"Alexandros T. Tzallas","orcid":"https://orcid.org/0000-0001-9043-1290"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Alexandros Tzallas","raw_affiliation_strings":["Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"],"raw_orcid":"https://orcid.org/0000-0001-9043-1290","affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075356621","display_name":"Evaggelos Karvounis","orcid":"https://orcid.org/0000-0002-6243-3755"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Evangelos Karvounis","raw_affiliation_strings":["Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"],"raw_orcid":"https://orcid.org/0000-0002-6243-3755","affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece","institution_ids":["https://openalex.org/I194019607"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010283810"],"corresponding_institution_ids":["https://openalex.org/I194019607"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":2.2091,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88913951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"447","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9965000152587891,"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/differential-evolution","display_name":"Differential evolution","score":0.6699879765510559},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.607579231262207},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5778588056564331},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5696866512298584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5301048755645752},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47371548414230347},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4462062418460846},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.42273059487342834},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41676998138427734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36216914653778076}],"concepts":[{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6699879765510559},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.607579231262207},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5778588056564331},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5696866512298584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5301048755645752},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47371548414230347},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4462062418460846},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.42273059487342834},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41676998138427734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36216914653778076},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14030447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030447","pdf_url":"https://www.mdpi.com/2073-8994/14/3/447/pdf?version=1646049519","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:44a819bfe9b84125a27af2bde9a717cd","is_oa":true,"landing_page_url":"https://doaj.org/article/44a819bfe9b84125a27af2bde9a717cd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 3, p 447 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/3/447/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14030447","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14030447","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030447","pdf_url":"https://www.mdpi.com/2073-8994/14/3/447/pdf?version=1646049519","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.75}],"awards":[{"id":"https://openalex.org/G1888088267","display_name":null,"funder_award_id":"2014-2020\u2019","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320331527","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4213442060.pdf","grobid_xml":"https://content.openalex.org/works/W4213442060.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W1490180010","https://openalex.org/W1505792756","https://openalex.org/W1527638225","https://openalex.org/W1563737017","https://openalex.org/W1977042441","https://openalex.org/W1983815113","https://openalex.org/W1985655675","https://openalex.org/W2009645864","https://openalex.org/W2010861271","https://openalex.org/W2020516973","https://openalex.org/W2024060531","https://openalex.org/W2025280025","https://openalex.org/W2032459813","https://openalex.org/W2040919914","https://openalex.org/W2047626401","https://openalex.org/W2056646884","https://openalex.org/W2064911469","https://openalex.org/W2065606540","https://openalex.org/W2069144035","https://openalex.org/W2069391269","https://openalex.org/W2083028490","https://openalex.org/W2095401497","https://openalex.org/W2096648407","https://openalex.org/W2101905272","https://openalex.org/W2108270451","https://openalex.org/W2111676838","https://openalex.org/W2115661144","https://openalex.org/W2120223913","https://openalex.org/W2122561103","https://openalex.org/W2124548165","https://openalex.org/W2127130980","https://openalex.org/W2132568689","https://openalex.org/W2137340504","https://openalex.org/W2138563868","https://openalex.org/W2146722066","https://openalex.org/W2157350782","https://openalex.org/W2159002562","https://openalex.org/W2166468757","https://openalex.org/W2213244149","https://openalex.org/W2265572943","https://openalex.org/W2310612427","https://openalex.org/W2584456463","https://openalex.org/W2594099471","https://openalex.org/W2753156866","https://openalex.org/W2755582817","https://openalex.org/W2802586787","https://openalex.org/W2888929267","https://openalex.org/W2895379456","https://openalex.org/W2897386979","https://openalex.org/W2944301270","https://openalex.org/W2944620025","https://openalex.org/W2946329373","https://openalex.org/W2964179618","https://openalex.org/W2986020234","https://openalex.org/W3013482090","https://openalex.org/W3015222189","https://openalex.org/W3041966174","https://openalex.org/W3083641161","https://openalex.org/W3090546708","https://openalex.org/W3095606665","https://openalex.org/W3121369352","https://openalex.org/W3123888838","https://openalex.org/W3185662451","https://openalex.org/W3190839731","https://openalex.org/W4206618367","https://openalex.org/W4206923777","https://openalex.org/W4252908937","https://openalex.org/W4292083457","https://openalex.org/W4301173492","https://openalex.org/W6630341322","https://openalex.org/W6662631433","https://openalex.org/W6676554820","https://openalex.org/W6682642761","https://openalex.org/W6683289499","https://openalex.org/W6754516117"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2122599759","https://openalex.org/W4236520801","https://openalex.org/W1537234410","https://openalex.org/W1995022398","https://openalex.org/W2484602794","https://openalex.org/W2157557172","https://openalex.org/W2373013700","https://openalex.org/W2384728854"],"abstract_inverted_index":{"Differential":[0],"Evolution":[1],"(DE)":[2],"is":[3,80],"a":[4,31,34,101,105,133],"method":[5,72,154],"of":[6,36,70,85,88,95,108,122,135],"optimization":[7,11],"used":[8],"in":[9,15,46,92,160],"symmetrical":[10],"problems":[12,16,136],"and":[13,22,25,39,141,157],"also":[14],"that":[17,148],"are":[18,23],"not":[19],"even":[20,159],"continuous,":[21],"noisy":[24],"change":[26],"over":[27],"time.":[28],"DE":[29],"optimizes":[30],"problem":[32],"with":[33,48],"population":[35,94],"candidate":[37,42],"solutions":[38,43],"creates":[40],"new":[41,102],"per":[44],"generation":[45],"combination":[47],"existing":[49],"rules":[50],"according":[51],"to":[52,116],"discriminatory":[53],"rules.":[54],"The":[55,64,97,126],"present":[56],"work":[57],"proposes":[58,100],"two":[59],"variations":[60,128],"for":[61,104],"this":[62],"method.":[63],"first":[65],"significantly":[66],"improves":[67,112],"the":[68,71,83,86,89,93,109,113,119,123,138,143,149,153],"termination":[69,77],"by":[73],"proposing":[74],"an":[75],"asymptotic":[76],"rule,":[78],"which":[79,111],"based":[81],"on":[82,132],"differentiation":[84],"average":[87],"function":[90],"values":[91],"DE.":[96],"second":[98],"modification":[99],"scheme":[103],"critical":[106],"parameter":[107],"method,":[110],"method\u2019s":[114],"ability":[115],"better":[117],"explore":[118],"search":[120],"space":[121],"objective":[124],"function.":[125],"proposed":[127,150],"have":[129],"been":[130],"tested":[131],"number":[134],"from":[137,142],"current":[139],"literature,":[140],"experimental":[144],"results,":[145],"it":[146],"appears":[147],"modifications":[151],"render":[152],"quite":[155],"robust":[156],"faster":[158],"large-scale":[161],"problems.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-10T07:06:39.071514","created_date":"2025-10-10T00:00:00"}
