{"id":"https://openalex.org/W2102660810","doi":"https://doi.org/10.1109/tevc.2003.816583","title":"Evolutionary Programming Using Mutations Based on the L\u00c9vy Probability Distribution","display_name":"Evolutionary Programming Using Mutations Based on the L\u00c9vy Probability Distribution","publication_year":2004,"publication_date":"2004-02-01","ids":{"openalex":"https://openalex.org/W2102660810","doi":"https://doi.org/10.1109/tevc.2003.816583","mag":"2102660810"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2003.816583","doi":"https://doi.org/10.1109/tevc.2003.816583","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2003.816583","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-a","fnege-4","jufo-3","norway-2","poland-200","russia-white-list-1"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5013012661","display_name":"C.-Y. Lee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I206597221","display_name":"Kongju National University","ror":"https://ror.org/0373nm262","country_code":"KR","type":"education","lineage":["https://openalex.org/I206597221"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"C.-Y. Lee","raw_affiliation_strings":["Department of Industrial Information, Kongju National University, Chungnam, South Korea","Dept. of Ind. Inf., Kongju Nat. Univ., Chungnam,, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Information, Kongju National University, Chungnam, South Korea","institution_ids":["https://openalex.org/I206597221"]},{"raw_affiliation_string":"Dept. of Ind. Inf., Kongju Nat. Univ., Chungnam,, South Korea","institution_ids":["https://openalex.org/I206597221"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635494","display_name":"Xin Yao","orcid":"https://orcid.org/0000-0001-8837-4442","observed_orcids":["https://orcid.org/0000-0001-8837-4442","https://orcid.org/0000-0002-5330-1873","https://orcid.org/0009-0009-5774-7037"]},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"X. Yao","raw_affiliation_strings":["School of Computer Science, University of Binningham, Birmingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Binningham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":19.3053,"has_fulltext":false,"cited_by_count":483,"citation_normalized_percentile":{"value":0.99500103,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9937000274658203,"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":0.9937000274658203,"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":0.005400000140070915,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/evolutionary-programming","display_name":"evolutionary programming","score":0.9909999966621399},{"id":"https://openalex.org/keywords/levy-mutation","display_name":"Levy mutation","score":0.8980000019073486},{"id":"https://openalex.org/keywords/adaptive-mutations","display_name":"adaptive mutation","score":0.8519999980926514},{"id":"https://openalex.org/keywords/gaussian-mutation","display_name":"Gaussian mutation","score":0.7070000171661377},{"id":"https://openalex.org/keywords/infinite-second-moment","display_name":"infinite second moment","score":0.6700000166893005},{"id":"https://openalex.org/keywords/local-optima","display_name":"local optima","score":0.781000018119812},{"id":"https://openalex.org/keywords/alpha-parameter","display_name":"alpha parameter","score":0.3840000033378601}],"concepts":[{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6201378107070923},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.6000025272369385},{"id":"https://openalex.org/C121835503","wikidata":"https://www.wikidata.org/wiki/Q2596288","display_name":"Evolutionary programming","level":3,"score":0.5404495000839233},{"id":"https://openalex.org/C501734568","wikidata":"https://www.wikidata.org/wiki/Q42918","display_name":"Mutation","level":3,"score":0.5319277048110962},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5293769836425781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5037667155265808},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.4832780659198761},{"id":"https://openalex.org/C162500139","wikidata":"https://www.wikidata.org/wiki/Q2835887","display_name":"Estimation of distribution algorithm","level":2,"score":0.46834585070610046},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4664117097854614},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4297757148742676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3934396505355835},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22899764776229858},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16851764917373657},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tevc.2003.816583","doi":"https://doi.org/10.1109/tevc.2003.816583","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2003.816583","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-a","fnege-4","jufo-3","norway-2","poland-200","russia-white-list-1"],"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:CiteSeerX.psu:10.1.1.6.2145","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.2145","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bham.ac.uk/~xin/papers/published_tec_levy_jan04.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/906550cc-f6e2-4563-81c6-0af91dd49ad9","doi":null,"is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/906550cc-f6e2-4563-81c6-0af91dd49ad9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lee, CY & Yao, X 2004, 'Evolutionary programming using the mutations based on the Levy probability distribution', IEEE Transactions on Evolutionary Computation, vol. 8, no. 1, pp. 1-13. https://doi.org/10.1109/TEVC.2003.816583","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W153832914","https://openalex.org/W177635913","https://openalex.org/W1576674783","https://openalex.org/W1596565458","https://openalex.org/W1978856913","https://openalex.org/W1978970913","https://openalex.org/W1997600725","https://openalex.org/W2010059576","https://openalex.org/W2020009149","https://openalex.org/W2049503097","https://openalex.org/W2078206416","https://openalex.org/W2091653681","https://openalex.org/W2098710879","https://openalex.org/W2123006010","https://openalex.org/W2129889116","https://openalex.org/W2143979843","https://openalex.org/W2169780517","https://openalex.org/W2235047952","https://openalex.org/W2964631455","https://openalex.org/W3149025087","https://openalex.org/W4213261160"],"related_works":["https://openalex.org/W2169780517","https://openalex.org/W2508251537","https://openalex.org/W2030448042","https://openalex.org/W2405892480","https://openalex.org/W2885360390","https://openalex.org/W2050712405","https://openalex.org/W2376707639","https://openalex.org/W7099787327","https://openalex.org/W2066779251","https://openalex.org/W2547063846"],"abstract_inverted_index":{"Studies":[0],"evolutionary":[1,57,102],"programming":[2,58,103],"with":[3],"mutations":[4],"based":[5],"on":[6,45],"the":[7,37,51,82,90,93],"Levy":[8,12,52,66],"probability":[9,13],"distribution.":[10,53],"The":[11,68],"distribution":[14],"has":[15],"an":[16,27,56],"infinite":[17],"second":[18],"moment":[19],"and":[20],"is,":[21],"therefore,":[22],"more":[23],"likely":[24],"to":[25,73],"generate":[26],"offspring":[28],"that":[29,99],"is":[30],"farther":[31],"away":[32],"from":[33],"its":[34],"parent":[35],"than":[36,98],"commonly":[38],"employed":[39],"Gaussian":[40,105],"mutation.":[41,106],"Such":[42],"likelihood":[43],"depends":[44],"a":[46],"parameter":[47],"/spl":[48],"alpha/":[49],"in":[50,81],"We":[54],"propose":[55],"algorithm":[59,70,95],"using":[60,104],"adaptive":[61],"as":[62,64],"well":[63],"nonadaptive":[65],"mutations.":[67],"proposed":[69,94],"was":[71,96],"applied":[72],"multivariate":[74],"functional":[75],"optimization.":[76],"Empirical":[77],"evidence":[78],"shows":[79],"that,":[80],"case":[83],"of":[84,92,100],"functions":[85],"having":[86],"many":[87],"local":[88],"optima,":[89],"performance":[91],"better":[97],"classical":[101]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":23},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":44},{"year":2012,"cited_by_count":38}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}