{"id":"https://openalex.org/W2153475092","doi":"https://doi.org/10.1162/evco_a_00158","title":"Unbiased Black-Box Complexities of Jump Functions","display_name":"Unbiased Black-Box Complexities of Jump Functions","publication_year":2015,"publication_date":"2015-07-02","ids":{"openalex":"https://openalex.org/W2153475092","doi":"https://doi.org/10.1162/evco_a_00158","mag":"2153475092","pmid":"https://pubmed.ncbi.nlm.nih.gov/26135718"},"language":"en","primary_location":{"id":"doi:10.1162/evco_a_00158","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00158","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/A5102961331","display_name":"Benjamin Doerr","orcid":"https://orcid.org/0000-0002-9786-220X"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["\u00c9cole Polytechnique, Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040561209","display_name":"Carola Doerr","orcid":"https://orcid.org/0000-0002-4981-3227"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Carola Doerr","raw_affiliation_strings":["CNRS and Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606, 4 place Jussieu, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS and Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606, 4 place Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210159731"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004366897","display_name":"Timo K\u00f6tzing","orcid":"https://orcid.org/0000-0002-1028-5228"},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timo K\u00f6tzing","raw_affiliation_strings":["Friedrich-Schiller-Universit\u00e4t Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Schiller-Universit\u00e4t Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1618,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93038427,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"4","first_page":"641","last_page":"670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9973999857902527,"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/T11130","display_name":"Coding theory and cryptography","score":0.9973999857902527,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9970999956130981,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.7109107971191406},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.5291369557380676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46179652214050293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35711178183555603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35582342743873596},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3509751558303833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3376336097717285},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14577049016952515},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.136775940656662}],"concepts":[{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.7109107971191406},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.5291369557380676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46179652214050293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35711178183555603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35582342743873596},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3509751558303833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3376336097717285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14577049016952515},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.136775940656662},{"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":"D000465","descriptor_name":"Algorithms","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":"D003198","descriptor_name":"Computer Simulation","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":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005075","descriptor_name":"Biological Evolution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/evco_a_00158","is_oa":false,"landing_page_url":"https://doi.org/10.1162/evco_a_00158","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:26135718","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26135718","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},{"id":"pmh:oai:HAL:hal-01272855v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01272855","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Evolutionary Computation, 2015, 23 (4), pp.641-670. ⟨10.1162/EVCO_a_00158⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W372717656","https://openalex.org/W656343110","https://openalex.org/W1571288104","https://openalex.org/W1793635223","https://openalex.org/W1818963346","https://openalex.org/W1843453084","https://openalex.org/W1965765215","https://openalex.org/W1970025632","https://openalex.org/W1971237725","https://openalex.org/W1981317573","https://openalex.org/W1981482533","https://openalex.org/W1983106553","https://openalex.org/W1985487183","https://openalex.org/W2017812762","https://openalex.org/W2023030534","https://openalex.org/W2034681107","https://openalex.org/W2035300004","https://openalex.org/W2046047199","https://openalex.org/W2048277430","https://openalex.org/W2053099640","https://openalex.org/W2053529015","https://openalex.org/W2067031567","https://openalex.org/W2081246863","https://openalex.org/W2102044362","https://openalex.org/W2138710575","https://openalex.org/W2148808689","https://openalex.org/W2165220807","https://openalex.org/W2499441210","https://openalex.org/W2499688774","https://openalex.org/W2504494713","https://openalex.org/W2504769075","https://openalex.org/W2600130231","https://openalex.org/W2951654149","https://openalex.org/W3100828115","https://openalex.org/W3144329707","https://openalex.org/W4210896998","https://openalex.org/W4232464552","https://openalex.org/W4237954928","https://openalex.org/W4365459996"],"related_works":["https://openalex.org/W2351666715","https://openalex.org/W2047881532","https://openalex.org/W2285795935","https://openalex.org/W1967543778","https://openalex.org/W2757332726","https://openalex.org/W2382902960","https://openalex.org/W4389072557","https://openalex.org/W4319452366","https://openalex.org/W2369384937","https://openalex.org/W2474854304"],"abstract_inverted_index":{"We":[0],"analyze":[1],"the":[2,16,20,30,46,52,63,69,75,83,110,115,139,148,156,159,169],"unbiased":[3,53,142],"black-box":[4,54,99,143],"complexities":[5,55],"of":[6,15,45,62,127,141,158,173],"jump":[7,31,77,112],"functions":[8],"with":[9],"small,":[10],"medium,":[11],"and":[12,59,88],"large":[13],"sizes":[14],"fitness":[17,47,85],"plateau":[18,126],"surrounding":[19],"optimal":[21],"solution.":[22],"Among":[23],"other":[24],"results,":[25,133],"we":[26,134],"show":[27],"that":[28,37,108],"when":[29,39],"size":[32],"is":[33,49,104,124],"(1/2":[34],"-":[35],"\u03b5),":[36],"is,":[38],"only":[40,153],"a":[41,121,125],"small":[42],"constant":[43,128],"fraction":[44],"values":[48,86],"visible,":[50],"then":[51],"for":[56,68,74,109,138,145],"arities":[57],"3":[58],"higher":[60],"are":[61,90],"same":[64],"order":[65],"as":[66],"those":[67],"simple":[70],"OneMax":[71],"function.":[72],"Even":[73],"extreme":[76,111],"function,":[78],"in":[79],"which":[80],"all":[81],"but":[82,120,163],"two":[84],"n/2":[87],"n":[89],"blanked":[91],"out,":[92],"polynomial":[93],"time":[94],"mutation-based":[95],"(i.e.,":[96],"unary":[97],"unbiased)":[98],"optimization":[100],"algorithms":[101],"exist.":[102],"This":[103],"quite":[105],"surprising":[106],"given":[107],"function":[113],"almost":[114],"whole":[116],"search":[117,161],"space":[118],"(all":[119],"\u0398(n(-1/2))":[122],"fraction)":[123],"fitness.":[129],"To":[130],"prove":[131],"these":[132],"introduce":[135],"new":[136,149],"tools":[137],"analysis":[140],"complexities,":[144],"example,":[146],"selecting":[147],"parent":[150],"individual":[151],"not":[152],"by":[154,165],"comparing":[155],"fitnesses":[157,172],"competing":[160],"points":[162],"also":[164],"taking":[166],"into":[167],"account":[168],"(empirical)":[170],"expected":[171],"their":[174],"offspring.":[175]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}