{"id":"https://openalex.org/W3163760996","doi":"https://doi.org/10.1007/s00453-022-00977-1","title":"An Extended Jump Function Benchmark for the Analysis of Randomized Search Heuristics","display_name":"An Extended Jump Function Benchmark for the Analysis of Randomized Search Heuristics","publication_year":2021,"publication_date":"2021-05-07","ids":{"openalex":"https://openalex.org/W3163760996","doi":"https://doi.org/10.1007/s00453-022-00977-1","mag":"3163760996"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-03220178v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03220178v3/document","pdf_url":"https://hal.science/hal-03220178v3/file/Bambury_Bultel_Doerr__Extended_Jump_Function__arxiv_v3__2022.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 2024, 86 (1), pp.1-32. &#x27E8;10.1007/s00453-022-00977-1&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03220178v3/file/Bambury_Bultel_Doerr__Extended_Jump_Function__arxiv_v3__2022.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069982773","display_name":"Henry Bambury","orcid":null},"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"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bambury, Henry","raw_affiliation_strings":["IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016551862","display_name":"Antoine Bultel","orcid":null},"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"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bultel, Antoine","raw_affiliation_strings":["IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Doerr, Benjamin","raw_affiliation_strings":["X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"X - \u00c9cole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"IP Paris - Institut Polytechnique de Paris (Route de Saclay, 91120 Palaiseau Cedex, France - France)","institution_ids":["https://openalex.org/I4210145102"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (1 Rue Honor\u00e9 d\u2019Estienne d\u2019Orves, B\u00e2timent Alain Turing, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210139461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06512095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9966999888420105,"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":0.9948999881744385,"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/benchmark","display_name":"Benchmark (surveying)","score":0.8314344882965088},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.732703685760498},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.729218602180481},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.574489414691925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4427303671836853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3357491195201874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3113616406917572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18778371810913086},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1401190459728241},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.07749941945075989},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.06297597289085388},{"id":"https://openalex.org/keywords/evolutionary-biology","display_name":"Evolutionary biology","score":0.05207839608192444}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.8314344882965088},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.732703685760498},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.729218602180481},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.574489414691925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4427303671836853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3357491195201874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3113616406917572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18778371810913086},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1401190459728241},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.07749941945075989},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.06297597289085388},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.05207839608192444},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:HAL:hal-03220178v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03220178v3/document","pdf_url":"https://hal.science/hal-03220178v3/file/Bambury_Bultel_Doerr__Extended_Jump_Function__arxiv_v3__2022.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 2024, 86 (1), pp.1-32. &#x27E8;10.1007/s00453-022-00977-1&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03220178v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03220178","pdf_url":"https://hal.science/hal-03220178v2/file/main.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0178-4617","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03220178v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03220178","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-03220178","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/29700","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/29700","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Document de travail - Pr\u00e9-publication"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03220178v3","is_oa":true,"landing_page_url":"https://hal.science/hal-03220178v3/document","pdf_url":"https://hal.science/hal-03220178v3/file/Bambury_Bultel_Doerr__Extended_Jump_Function__arxiv_v3__2022.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 2024, 86 (1), pp.1-32. &#x27E8;10.1007/s00453-022-00977-1&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2249808486","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4895254678","display_name":"LabEx Math\u00e9matique Hadamard","funder_award_id":"ANR-11-LABX-0056","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6395863086","display_name":null,"funder_award_id":"11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3163760996.pdf"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W372717656","https://openalex.org/W1522597852","https://openalex.org/W1538319403","https://openalex.org/W1606774760","https://openalex.org/W1793635223","https://openalex.org/W1843453084","https://openalex.org/W1970025632","https://openalex.org/W1971237725","https://openalex.org/W1981241191","https://openalex.org/W1981317573","https://openalex.org/W2043084955","https://openalex.org/W2053529015","https://openalex.org/W2054975983","https://openalex.org/W2061092014","https://openalex.org/W2064545488","https://openalex.org/W2100137329","https://openalex.org/W2102044362","https://openalex.org/W2146239736","https://openalex.org/W2160241726","https://openalex.org/W2165220807","https://openalex.org/W2187785713","https://openalex.org/W2487146608","https://openalex.org/W2492282619","https://openalex.org/W2521372821","https://openalex.org/W2604934189","https://openalex.org/W2725382342","https://openalex.org/W2733925684","https://openalex.org/W2734734929","https://openalex.org/W2743438247","https://openalex.org/W2745272116","https://openalex.org/W2753470076","https://openalex.org/W2783263582","https://openalex.org/W2810302189","https://openalex.org/W2811031023","https://openalex.org/W2848970508","https://openalex.org/W2887735318","https://openalex.org/W2901473570","https://openalex.org/W2946596305","https://openalex.org/W2963262140","https://openalex.org/W2967587352","https://openalex.org/W3016125163","https://openalex.org/W3017005800","https://openalex.org/W3034364924","https://openalex.org/W3037675725","https://openalex.org/W3038200489","https://openalex.org/W3042468115","https://openalex.org/W3089862754","https://openalex.org/W3101412094","https://openalex.org/W3104429645","https://openalex.org/W3106081651","https://openalex.org/W3121354401","https://openalex.org/W3127499867","https://openalex.org/W3132970566","https://openalex.org/W3173469648","https://openalex.org/W3173475011","https://openalex.org/W3174975001","https://openalex.org/W3176103617","https://openalex.org/W3176469451","https://openalex.org/W3176592844","https://openalex.org/W3188550836"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W2130974462","https://openalex.org/W972276598"],"abstract_inverted_index":{"Jump":[0,64,177,190],"functions":[1,68],"are":[2],"the":[3,8,36,45,49,83,107,112,121,130,152,164,193,209],"most-studied":[4],"non-unimodal":[5],"benchmark":[6],"in":[7,14,140,174,186],"theory":[9],"of":[10,24,51,66,73,76],"randomized":[11,153],"search":[12,155],"heuristics,":[13],"particular,":[15],"evolutionary":[16],"algorithms":[17],"(EAs).They":[18],"have":[19],"significantly":[20],"improved":[21],"our":[22],"understanding":[23],"how":[25,52],"EAs":[26],"escape":[27],"from":[28,82,208],"local":[29,37,154],"optima.However,":[30],"their":[31],"particular":[32],"structure":[33],"-to":[34],"leave":[35],"optimum":[38,47],"one":[39],"can":[40],"only":[41],"jump":[42,67],"directly":[43],"to":[44,92],"global":[46,84,210],"-raises":[48],"question":[50],"representative":[53],"such":[54],"results":[55,90,148],"are.For":[56],"this":[57,93],"reason,":[58],"we":[59,142],"propose":[60],"an":[61],"extended":[62],"class":[63,195],"k,":[65,106,191],"that":[69,87,145],"contain":[70],"a":[71,137,171,183],"valley":[72],"low":[74],"fitness":[75,200],"width":[77],"starting":[78],"at":[79],"distance":[80],"k":[81,99,175,178],"optimum.We":[85],"prove":[86],"several":[88],"previous":[89],"extend":[91],"more":[94],"general":[95],"class:":[96],"for":[97,111],"all":[98],"n":[100,103,118,187],"1/3":[101],"ln":[102],"and":[104,120],"<":[105],"optimal":[108],"mutation":[109],"rate":[110],"(1":[113,123,132,166],"+":[114,124,133,167],"1)":[115,125,134,168],"EA":[116,126,135,169],"is":[117,161,180],",":[119,179],"fast":[122,165],"runs":[127],"faster":[128,162],"than":[129,163],"classical":[131],"by":[136,170,182],"factor":[138,172,184],"super-exponential":[139],".However,":[141],"also":[143],"observe":[144],"some":[146,189],"known":[147],"do":[149],"not":[150],"generalize:":[151],"algorithm":[156],"with":[157,198],"stagnation":[158],"detection,":[159],"which":[160],"polynomial":[173,185],"on":[176,188],"slower":[181],"instances.Computationally,":[192],"new":[194],"allows":[196],"experiments":[197],"wider":[199],"valleys,":[201],"especially":[202],"when":[203],"they":[204],"lie":[205],"further":[206],"away":[207],"optimum.":[211]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
