{"id":"https://openalex.org/W3208168143","doi":"https://doi.org/10.5281/zenodo.3899474","title":"The Experimental Data for the Study \"Frequency Fitness Assignment: Making Optimization Algorithms Invariant under Bijective Transformations of the Objective Function Value\"","display_name":"The Experimental Data for the Study \"Frequency Fitness Assignment: Making Optimization Algorithms Invariant under Bijective Transformations of the Objective Function Value\"","publication_year":2020,"publication_date":"2020-01-06","ids":{"openalex":"https://openalex.org/W3208168143","doi":"https://doi.org/10.5281/zenodo.3899474","mag":"3208168143"},"language":"en","primary_location":{"id":"pmh:oai:figshare.com:article/12503948","is_oa":true,"landing_page_url":"https://figshare.com/articles/The_Experimental_Data_for_the_Study_Frequency_Fitness_Assignment_Making_Optimization_Algorithms_Invariant_under_Bijective_Transformations_of_the_Objective_Function_Value_/12503948","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},"type":"dataset","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/The_Experimental_Data_for_the_Study_Frequency_Fitness_Assignment_Making_Optimization_Algorithms_Invariant_under_Bijective_Transformations_of_the_Objective_Function_Value_/12503948","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010827013","display_name":"Thomas Weise","orcid":"https://orcid.org/0000-0002-9687-8509"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]},{"id":"https://openalex.org/I4210089412","display_name":"Applied Optimization (United States)","ror":"https://ror.org/004b0n253","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089412"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Weise, Thomas","raw_affiliation_strings":["Institute of Applied Optimization, Hefei University"],"raw_orcid":"https://orcid.org/0000-0002-9687-8509","affiliations":[{"raw_affiliation_string":"Institute of Applied Optimization, Hefei University","institution_ids":["https://openalex.org/I39774598","https://openalex.org/I4210089412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043222810","display_name":"Zhize Wu","orcid":"https://orcid.org/0000-0001-7416-5711"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]},{"id":"https://openalex.org/I4210089412","display_name":"Applied Optimization (United States)","ror":"https://ror.org/004b0n253","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089412"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"WU, Zhize","raw_affiliation_strings":["Institute of Applied Optimization, Hefei University"],"raw_orcid":"https://orcid.org/0000-0001-7416-5711","affiliations":[{"raw_affiliation_string":"Institute of Applied Optimization, Hefei University","institution_ids":["https://openalex.org/I39774598","https://openalex.org/I4210089412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081894037","display_name":"Xinlu Li","orcid":"https://orcid.org/0000-0002-3806-3993"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]},{"id":"https://openalex.org/I4210089412","display_name":"Applied Optimization (United States)","ror":"https://ror.org/004b0n253","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089412"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"LI, Xinlu","raw_affiliation_strings":["Institute of Applied Optimization, Hefei University"],"raw_orcid":"https://orcid.org/0000-0002-3806-3993","affiliations":[{"raw_affiliation_string":"Institute of Applied Optimization, Hefei University","institution_ids":["https://openalex.org/I39774598","https://openalex.org/I4210089412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102909463","display_name":"Yan Chen","orcid":"https://orcid.org/0000-0001-9294-0128"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]},{"id":"https://openalex.org/I4210089412","display_name":"Applied Optimization (United States)","ror":"https://ror.org/004b0n253","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089412"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"CHEN, Yan","raw_affiliation_strings":["Institute of Applied Optimization, Hefei University"],"raw_orcid":"https://orcid.org/0000-0001-9294-0128","affiliations":[{"raw_affiliation_string":"Institute of Applied Optimization, Hefei University","institution_ids":["https://openalex.org/I39774598","https://openalex.org/I4210089412"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.34700000286102295,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14470","display_name":"Advanced Data Processing Techniques","score":0.34700000286102295,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/bijection","display_name":"Bijection","score":0.9117245078086853},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7277404069900513},{"id":"https://openalex.org/keywords/fitness-function","display_name":"Fitness function","score":0.5035194754600525},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49243196845054626},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48559993505477905},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4646645784378052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4543740451335907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3411652445793152},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3320038914680481},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3234652280807495},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16926822066307068}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9117245078086853},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7277404069900513},{"id":"https://openalex.org/C176066374","wikidata":"https://www.wikidata.org/wiki/Q629118","display_name":"Fitness function","level":3,"score":0.5035194754600525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49243196845054626},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48559993505477905},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4646645784378052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4543740451335907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3411652445793152},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3320038914680481},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3234652280807495},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16926822066307068},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:figshare.com:article/12503948","is_oa":true,"landing_page_url":"https://figshare.com/articles/The_Experimental_Data_for_the_Study_Frequency_Fitness_Assignment_Making_Optimization_Algorithms_Invariant_under_Bijective_Transformations_of_the_Objective_Function_Value_/12503948","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},{"id":"pmh:oai:zenodo.org:3899474","is_oa":true,"landing_page_url":"https://zenodo.org/record/3899474","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"","raw_type":"dataset"},{"id":"doi:10.5281/zenodo.3899474","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.3899474","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Dataset"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/12503948","is_oa":true,"landing_page_url":"https://figshare.com/articles/The_Experimental_Data_for_the_Study_Frequency_Fitness_Assignment_Making_Optimization_Algorithms_Invariant_under_Bijective_Transformations_of_the_Objective_Function_Value_/12503948","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W1508013399","https://openalex.org/W2998840281","https://openalex.org/W2160566290","https://openalex.org/W3181135859"],"abstract_inverted_index":{"The":[0,267],"Experimental":[1],"Data":[2,203],"for":[3,120,134,231,257],"the":[4,17,28,32,75,92,106,121,132,135,158,169,182,187,196,209,214,219,222,228,233,240,244,289],"Study":[5],"\"Frequency":[6],"Fitness":[7,24,148,172],"Assignment:":[8,149,173],"Making":[9,150,174],"Optimization":[10,151,175,293],"Algorithms":[11,152,176],"Invariant":[12,153,177],"under":[13,154,178],"Bijective":[14,155,179],"Transformations":[15,156,180],"of":[16,35,157,181,211,243,260,288,291],"Objective":[18,159,183],"Function":[19,160],"Value\"":[20],"1.":[21],"Introduction":[22],"Frequency":[23,147,171],"Assignment":[25],"(FFA)":[26],"replaces":[27],"objective":[29],"value":[30],"in":[31,43,62,190,218,297],"selection":[33,45],"step":[34,46],"an":[36],"optimization":[37],"method":[38],"with":[39,86,186,305],"its":[40],"encounter":[41],"frequency":[42],"any":[44,278],"so":[47],"far.":[48],"It":[49],"turns":[50],"static":[51],"problems":[52,85],"into":[53,70,116],"dynamic":[54],"ones.":[55],"Here":[56],"we":[57,67],"experimentally":[58],"investigated":[59],"this":[60],"approach":[61],"two":[63],"important":[64],"contexts:":[65],"First,":[66],"integrated":[68,114],"it":[69],"a":[71,117],"basic":[72],"(1+1)-EA,":[73],"obtaining":[74],"(1+1)-FEA.":[76],"We":[77,101,111],"applied":[78,103],"both":[79],"algorithms":[80],"to":[81,105,164,195,303,307],"several":[82],"well-known":[83],"benchmark":[84],"bit-string":[87],"based":[88],"search":[89],"spaces,":[90],"including":[91,247],"OneMax,":[93],"LeadingOnes,":[94],"TwoMax,":[95],"Jump,":[96],"Plateau,":[97],"and":[98,144,193,250,262],"W-Model":[99],"functions.":[100],"also":[102,113],"them":[104],"Max-3-Sat":[107],"instances":[108],"from":[109],"SATLib.":[110],"then":[112],"FFA":[115],"Memetic":[118],"Algorithm":[119],"Job":[122],"Shop":[123],"Problem.":[124],"2.":[125],"Paper":[126],"This":[127,204,238],"data":[128,189,205,245,256],"is":[129,239,270],"used":[130,217,230],"as":[131,225,227],"basis":[133],"following":[136],"article:":[137],"Thomas":[138,286],"Weise,":[139],"Zhize":[140],"Wu,":[141],"Xinlu":[142],"Li,":[143],"Yan":[145],"Chen.":[146],"Value,":[161],"originally":[162],"submitted":[163,194],"arxiv":[165],"on":[166,199],"2020-01-06":[167],"(under":[168],"title":[170],"Function),":[184],"updated":[185],"new":[188],"June":[191],"2020,":[192],"IEEE":[197],"Transactions":[198],"Evolutionary":[200],"Computation.":[201],"3.":[202],"set":[206],"contains":[207],"all":[208],"results":[210],"these":[212],"experiments,":[213],"source":[215],"codes":[216],"experiments":[220,249],"(i.e.,":[221],"algorithm":[223],"implementations),":[224],"well":[226],"scripts":[229],"evaluating":[232],"results.":[234,253],"4.":[235],"Version":[236],"History":[237],"second":[241],"version":[242,269],"set,":[246],"extended":[248],"more":[251],"evaluation":[252],"Most":[254],"importantly,":[255],"larger":[258],"scales":[259],"OneMax":[261],"LeadingOnes":[263],"has":[264],"been":[265],"added.":[266],"original":[268],"at":[271,294],"10.5281/zenodo.3598172.":[272],"5.":[273],"Contact":[274],"If":[275],"you":[276],"have":[277],"questions":[279],"or":[280],"suggestions,":[281],"please":[282],"contact":[283],"Prof.":[284],"Dr.":[285],"Weise":[287],"Institute":[290],"Applied":[292],"Hefei":[295],"University":[296],"Hefei,":[298],"Anhui,":[299],"China":[300],"via":[301],"email":[302],"tweise@hfuu.edu.cn":[304],"CC":[306],"tweise@ustc.edu.cn.":[308]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-09-02T18:50:13.731487","created_date":"2025-10-10T00:00:00"}
