{"id":"https://openalex.org/W2809732001","doi":"https://doi.org/10.1145/3205455.3205472","title":"Multifractality and dimensional determinism in local optima networks","display_name":"Multifractality and dimensional determinism in local optima networks","publication_year":2018,"publication_date":"2018-07-02","ids":{"openalex":"https://openalex.org/W2809732001","doi":"https://doi.org/10.1145/3205455.3205472","mag":"2809732001"},"language":"en","primary_location":{"id":"doi:10.1145/3205455.3205472","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3205455.3205472","pdf_url":null,"source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01823551","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074122533","display_name":"Sarah L. Thomson","orcid":"https://orcid.org/0000-0001-6971-7817"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sarah L. Thomson","raw_affiliation_strings":["University of Stirling, Stirling, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Stirling, Stirling, United Kingdom","institution_ids":["https://openalex.org/I12093191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078220546","display_name":"Seb\u00e1stien V\u00e9rel","orcid":"https://orcid.org/0000-0003-1661-4093"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Verel","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d'Opale, Calais, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d'Opale, Calais, France","institution_ids":["https://openalex.org/I2802487185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090624529","display_name":"Gabriela Ochoa","orcid":"https://orcid.org/0000-0001-7649-5669"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gabriela Ochoa","raw_affiliation_strings":["University of Stirling, Stirling, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Stirling, Stirling, United Kingdom","institution_ids":["https://openalex.org/I12093191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091208973","display_name":"Nadarajen Veerapen","orcid":"https://orcid.org/0000-0003-3699-1080"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nadarajen Veerapen","raw_affiliation_strings":["University of Stirling, Stirling, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Stirling, Stirling, United Kingdom","institution_ids":["https://openalex.org/I12093191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103057839","display_name":"David Cairns","orcid":"https://orcid.org/0000-0002-0246-3821"},"institutions":[{"id":"https://openalex.org/I12093191","display_name":"University of Stirling","ror":"https://ror.org/045wgfr59","country_code":"GB","type":"education","lineage":["https://openalex.org/I12093191"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Cairns","raw_affiliation_strings":["University of Stirling, Stirling, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Stirling, Stirling, United Kingdom","institution_ids":["https://openalex.org/I12093191"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074122533"],"corresponding_institution_ids":["https://openalex.org/I12093191"],"apc_list":null,"apc_paid":null,"fwci":0.9267,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8005618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"371","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9668999910354614,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.7034159898757935},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.6584829092025757},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5405489802360535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5231707692146301},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.493988573551178},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4699060320854187},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.4488256573677063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42358261346817017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3535306453704834},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28040486574172974}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7034159898757935},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.6584829092025757},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5405489802360535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5231707692146301},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.493988573551178},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4699060320854187},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.4488256573677063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42358261346817017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3535306453704834},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28040486574172974},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3205455.3205472","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3205455.3205472","pdf_url":null,"source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01823551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01823551","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Genetic and Evolutionary Computation Conference, Jul 2018, Kyoto, Japan. &#x27E8;10.1145/3205455.3205472&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:dspace.stir.ac.uk:1893/27075","is_oa":false,"landing_page_url":"http://gecco-2018.sigevo.org","pdf_url":null,"source":{"id":"https://openalex.org/S4306400268","display_name":"Stirling Online Research Repository (University of Stirling)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I12093191","host_organization_name":"University of Stirling","host_organization_lineage":["https://openalex.org/I12093191"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01823551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01823551","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Genetic and Evolutionary Computation Conference, Jul 2018, Kyoto, Japan. &#x27E8;10.1145/3205455.3205472&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1934935867","display_name":null,"funder_award_id":"Engineering and Physical Sciences R","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3143037312","display_name":null,"funder_award_id":"EP/J017515","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6794522244","display_name":null,"funder_award_id":"EP/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8385396385","display_name":"DAASE: Dynamic Adaptive Automated Software Engineering","funder_award_id":"EP/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G960584970","display_name":null,"funder_award_id":"P/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1630087707","https://openalex.org/W1766172370","https://openalex.org/W1971700807","https://openalex.org/W1973353128","https://openalex.org/W2024956277","https://openalex.org/W2043807498","https://openalex.org/W2094233798","https://openalex.org/W2102262771","https://openalex.org/W2107709238","https://openalex.org/W2137555357","https://openalex.org/W2167577506","https://openalex.org/W2333974165","https://openalex.org/W2762509488","https://openalex.org/W2784190987","https://openalex.org/W3099213780","https://openalex.org/W3102600948"],"related_works":["https://openalex.org/W2394117909","https://openalex.org/W2896054214","https://openalex.org/W2355197944","https://openalex.org/W2017118246","https://openalex.org/W2354661593","https://openalex.org/W2382240109","https://openalex.org/W2368475191","https://openalex.org/W2391311021","https://openalex.org/W2389188284","https://openalex.org/W2023813792"],"abstract_inverted_index":{"We":[0,35,56,112],"conduct":[1],"a":[2,10,24,29,37],"study":[3],"of":[4,20,44,105,118,144,157],"local":[5,125,145],"optima":[6,126,146],"networks":[7,22],"(LONs)":[8],"in":[9,52,140],"search":[11,49],"space":[12],"using":[13,46],"fractal":[14,17,100],"dimensions.":[15],"The":[16],"dimension":[18,31],"(FD)":[19],"these":[21,152],"is":[23,88,138],"complexity":[25],"index":[26],"which":[27],"assigns":[28],"non-integer":[30],"to":[32,40,61],"an":[33],"object.":[34],"propose":[36],"fine-grained":[38],"approach":[39],"obtaining":[41],"the":[42,47,64,77,94,109,141,155],"FD":[43],"LONs,":[45,76],"probabilistic":[48,136],"transitions":[50],"encoded":[51,139],"LON":[53],"edge":[54,142],"weights.":[55],"then":[57],"apply":[58],"multi-fractal":[59,86,130],"calculations":[60],"LONs":[62,104,117],"for":[63,108],"first":[65,110],"time,":[66],"comparing":[67],"with":[68],"mono-fractal":[69],"analysis.":[70],"For":[71],"complex":[72],"systems":[73],"such":[74],"as":[75],"dimensionality":[78],"may":[79],"be":[80,129],"different":[81],"between":[82,151],"two":[83,158],"sub-systems":[84],"and":[85,131,154],"analysis":[87],"needed.":[89],"Here":[90],"we":[91],"focus":[92],"on":[93,102],"Quadratic":[95],"Assignment":[96],"Problem":[97],"(QAP),":[98],"conducting":[99],"analyses":[101],"sampled":[103],"reasonable":[106],"size":[107],"time.":[111],"also":[113],"include":[114],"fully":[115],"enumerated":[116],"smaller":[119],"size.":[120],"Our":[121],"results":[122],"show":[123],"that":[124,132],"spaces":[127],"can":[128],"valuable":[133],"information":[134],"regarding":[135],"self-similarity":[137],"weights":[143],"networks.":[147],"Links":[148],"are":[149],"drawn":[150],"phenomena":[153],"performance":[156],"competitive":[159],"metaheuristic":[160],"algorithms.":[161]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
