{"id":"https://openalex.org/W2588205825","doi":"https://doi.org/10.1109/tevc.2017.2668068","title":"Toward a Steady-State Analysis of an Evolution Strategy on a Robust Optimization Problem With Noise-Induced Multimodality","display_name":"Toward a Steady-State Analysis of an Evolution Strategy on a Robust Optimization Problem With Noise-Induced Multimodality","publication_year":2017,"publication_date":"2017-02-13","ids":{"openalex":"https://openalex.org/W2588205825","doi":"https://doi.org/10.1109/tevc.2017.2668068","mag":"2588205825"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2017.2668068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2017.2668068","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/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":true,"raw_author_name":"Hans-Georg Beyer","raw_affiliation_strings":["Research Center Process and Product Engineering, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"affiliations":[{"raw_affiliation_string":"Research Center Process and Product Engineering, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066418464","display_name":"Bernhard Sendhoff","orcid":"https://orcid.org/0000-0002-1233-9584"},"institutions":[{"id":"https://openalex.org/I4210112253","display_name":"Honda (Germany)","ror":"https://ror.org/022c1xk47","country_code":"DE","type":"company","lineage":["https://openalex.org/I1283473643","https://openalex.org/I4210112253"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Sendhoff","raw_affiliation_strings":["Honda Research Institute Europe GmbH, Offenbach, Germany"],"affiliations":[{"raw_affiliation_string":"Honda Research Institute Europe GmbH, Offenbach, Germany","institution_ids":["https://openalex.org/I4210112253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058598249"],"corresponding_institution_ids":["https://openalex.org/I675453"],"apc_list":null,"apc_paid":null,"fwci":0.7801,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.78200311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"4","first_page":"629","last_page":"643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9979000091552734,"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":0.9979000091552734,"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":0.9969000220298767,"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":0.9929999709129333,"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/mathematics","display_name":"Mathematics","score":0.5963766574859619},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5724310278892517},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5594750046730042},{"id":"https://openalex.org/keywords/resampling","display_name":"Resampling","score":0.5416861176490784},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5367568135261536},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5118429064750671},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4982790946960449},{"id":"https://openalex.org/keywords/fitness-landscape","display_name":"Fitness landscape","score":0.47419029474258423},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4705037772655487},{"id":"https://openalex.org/keywords/multimodality","display_name":"Multimodality","score":0.45350340008735657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4449305236339569},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44092199206352234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36898884177207947},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2531254291534424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21209049224853516},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19500312209129333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12130230665206909}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5963766574859619},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5724310278892517},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5594750046730042},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.5416861176490784},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5367568135261536},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5118429064750671},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4982790946960449},{"id":"https://openalex.org/C91852762","wikidata":"https://www.wikidata.org/wiki/Q3307742","display_name":"Fitness landscape","level":3,"score":0.47419029474258423},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4705037772655487},{"id":"https://openalex.org/C2780910867","wikidata":"https://www.wikidata.org/wiki/Q1952416","display_name":"Multimodality","level":2,"score":0.45350340008735657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4449305236339569},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44092199206352234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36898884177207947},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2531254291534424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21209049224853516},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19500312209129333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12130230665206909},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2017.2668068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2017.2668068","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W621301","https://openalex.org/W3106388","https://openalex.org/W644862538","https://openalex.org/W1498178627","https://openalex.org/W1512346611","https://openalex.org/W1555106872","https://openalex.org/W1991567646","https://openalex.org/W1993377828","https://openalex.org/W2076184585","https://openalex.org/W2101677491","https://openalex.org/W2127028982","https://openalex.org/W2142577776","https://openalex.org/W2153793563","https://openalex.org/W2154411958","https://openalex.org/W2166913352","https://openalex.org/W3127380004"],"related_works":["https://openalex.org/W2153822684","https://openalex.org/W3164744211","https://openalex.org/W2331934617","https://openalex.org/W2000744351","https://openalex.org/W4293863395","https://openalex.org/W2006961398","https://openalex.org/W3099925930","https://openalex.org/W2018065383","https://openalex.org/W4225531468","https://openalex.org/W2588205825"],"abstract_inverted_index":{"A":[0,24],"steady":[1,81],"state":[2,82],"analysis":[3],"of":[4,8,18,57,74,84],"the":[5,45,80,85,107],"optimization":[6,20],"quality":[7],"a":[9,16,55],"classical":[10],"self-adaptive":[11],"evolution":[12],"strategy":[13],"(ES)":[14],"on":[15],"class":[17,56],"robust":[19],"problems":[21],"is":[22,36,52,77,87],"presented.":[23,37],"novel":[25],"technique":[26,39,51],"for":[27,31],"calculating":[28],"progress":[29,64],"rates":[30],"nonquadratic":[32],"noisy":[33],"fitness":[34,75,101],"landscapes":[35],"This":[38,50],"yields":[40],"asymptotically":[41],"exact":[42],"results":[43],"in":[44],"infinite":[46],"population":[47],"size":[48],"limit.":[49],"applied":[53],"to":[54,105,114],"functions":[58],"with":[59,69,91],"noise-induced":[60],"multimodality.":[61],"The":[62,72,93],"resulting":[63],"rate":[65],"formulas":[66],"are":[67,110],"compared":[68,90],"high-precision":[70],"experiments.":[71],"influence":[73],"resampling":[76],"considered":[78],"and":[79,89,99,103],"behavior":[83],"ES":[86],"derived":[88],"simulations.":[92],"questions":[94],"whether":[95],"one":[96],"should":[97],"sample":[98],"average":[100],"values":[102],"how":[104],"choose":[106],"truncation":[108],"ratio":[109],"discussed":[111],"giving":[112],"rise":[113],"further":[115],"research":[116],"perspectives.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}