{"id":"https://openalex.org/W2040927350","doi":"https://doi.org/10.1162/evco_a_00023","title":"On the Behaviour of Evolution Strategies Optimising Cigar Functions","display_name":"On the Behaviour of Evolution Strategies Optimising Cigar Functions","publication_year":2010,"publication_date":"2010-08-31","ids":{"openalex":"https://openalex.org/W2040927350","doi":"https://doi.org/10.1162/evco_a_00023","mag":"2040927350","pmid":"https://pubmed.ncbi.nlm.nih.gov/20807082"},"language":"en","primary_location":{"id":"doi:10.1162/evco_a_00023","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00023","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5083914227","display_name":"Dirk V. Arnold","orcid":"https://orcid.org/0000-0001-5367-6862"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dirk V. Arnold","raw_affiliation_strings":["Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 1W5","Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 1W5. dirk@cs.dal.ca"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 1W5","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 1W5. dirk@cs.dal.ca","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058598249","display_name":"Hans-Georg Beyer","orcid":"https://orcid.org/0000-0002-7455-8686"},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Hans-Georg Beyer","raw_affiliation_strings":["Department of Computer Science, Vorarlberg University of Applied Sciences, Hochschulstrasse 1, A-6850 Dornbirn, Austria","Department of Computer Science, Vorarlberg University of Applied Sciences, Hochschulstrasse 1, A-6850 Dornbirn, Austria hgb@fhv.at#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Vorarlberg University of Applied Sciences, Hochschulstrasse 1, A-6850 Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]},{"raw_affiliation_string":"Department of Computer Science, Vorarlberg University of Applied Sciences, Hochschulstrasse 1, A-6850 Dornbirn, Austria hgb@fhv.at#TAB#","institution_ids":["https://openalex.org/I675453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083914227"],"corresponding_institution_ids":["https://openalex.org/I129902397"],"apc_list":null,"apc_paid":null,"fwci":1.60327685,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86678732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"4","first_page":"661","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.998199999332428,"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":0.9919999837875366,"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/hessian-matrix","display_name":"Hessian matrix","score":0.8540302515029907},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6321446895599365},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5919764041900635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5616337060928345},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5368810892105103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5043359994888306},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5038301348686218},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.4817885756492615},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.44205427169799805},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.41244810819625854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33233073353767395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2777860760688782},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18437281250953674},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12555238604545593}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8540302515029907},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6321446895599365},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5919764041900635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5616337060928345},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5368810892105103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5043359994888306},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5038301348686218},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.4817885756492615},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.44205427169799805},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.41244810819625854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33233073353767395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2777860760688782},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18437281250953674},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12555238604545593},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D057386","descriptor_name":"Search Engine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D057386","descriptor_name":"Search Engine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D057386","descriptor_name":"Search Engine","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1162/evco_a_00023","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00023","pdf_url":null,"source":{"id":"https://openalex.org/S38677346","display_name":"Evolutionary Computation","issn_l":"1063-6560","issn":["1063-6560","1530-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Computation","raw_type":"journal-article"},{"id":"pmid:20807082","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20807082","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W54935484","https://openalex.org/W183421984","https://openalex.org/W1479971399","https://openalex.org/W1488242121","https://openalex.org/W1498178627","https://openalex.org/W1500814795","https://openalex.org/W1514875444","https://openalex.org/W1525997788","https://openalex.org/W1576660662","https://openalex.org/W1843496253","https://openalex.org/W1999427556","https://openalex.org/W2022184750","https://openalex.org/W2023782941","https://openalex.org/W2027964569","https://openalex.org/W2079498509","https://openalex.org/W2099840809","https://openalex.org/W2103503350","https://openalex.org/W2112036188","https://openalex.org/W2124695778","https://openalex.org/W2170337736","https://openalex.org/W2187880298","https://openalex.org/W2608642409","https://openalex.org/W4256451422"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W1704347466","https://openalex.org/W1996936972","https://openalex.org/W4283017538","https://openalex.org/W1545275724","https://openalex.org/W2802707792","https://openalex.org/W2569979269","https://openalex.org/W2075777916","https://openalex.org/W3021699548","https://openalex.org/W4387635768"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,34,44,57,68,75],"performance":[4,83],"of":[5,36,41,47,56],"multi-recombinative":[6],"evolution":[7],"strategies":[8],"using":[9,96],"isotropically":[10],"distributed":[11],"mutations":[12],"with":[13,50,92],"cumulative":[14,86],"step":[15,87,99],"length":[16,88],"adaptation":[17,89],"when":[18,74,95],"applied":[19],"to":[20],"optimising":[21],"cigar":[22],"functions.":[23],"Cigar":[24],"functions":[25,29],"are":[26,31,80],"convex-quadratic":[27],"objective":[28],"that":[30,65,71,93],"characterised":[32],"by":[33,85],"presence":[35],"only":[37],"two":[38],"distinct":[39],"eigenvalues":[40],"their":[42],"Hessian,":[43],"smaller":[45],"one":[46],"which":[48],"occurs":[49],"multiplicity":[51],"one.":[52],"A":[53],"simplified":[54],"model":[55],"strategy's":[58],"behaviour":[59],"is":[60,72,78,90],"developed.":[61],"Using":[62],"it,":[63],"expressions":[64],"approximately":[66],"describe":[67],"stationary":[69],"state":[70],"attained":[73],"mutation":[76],"strength":[77],"adapted":[79,98],"derived.":[81],"The":[82],"achieved":[84],"compared":[91],"obtained":[94],"optimally":[97],"lengths.":[100]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}