{"id":"https://openalex.org/W4385188956","doi":"https://doi.org/10.1145/3583133.3590726","title":"Fast generation of centroids for MAP-Elites","display_name":"Fast generation of centroids for MAP-Elites","publication_year":2023,"publication_date":"2023-07-15","ids":{"openalex":"https://openalex.org/W4385188956","doi":"https://doi.org/10.1145/3583133.3590726"},"language":"en","primary_location":{"id":"doi:10.1145/3583133.3590726","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3583133.3590726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-04399352/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032227198","display_name":"Jean-Baptiste Mouret","orcid":"https://orcid.org/0000-0002-2513-027X"},"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/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Baptiste Mouret","raw_affiliation_strings":["CNRS, Universit\u00e9 de Lorraine, Nancy, France","Inria, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Universit\u00e9 de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Inria, Nancy, France","institution_ids":["https://openalex.org/I4210127166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032227198"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210127166","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.8124,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66205683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"155","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/centroid","display_name":"Centroid","score":0.9298107624053955},{"id":"https://openalex.org/keywords/sobol-sequence","display_name":"Sobol sequence","score":0.8966413736343384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5729677677154541},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.5621016025543213},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5537416934967041},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5332927703857422},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5294225811958313},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4912702441215515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48917630314826965},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42347946763038635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3629857301712036},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3536158800125122},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27580201625823975},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18133017420768738},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12657946348190308},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.11344030499458313},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11308848857879639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07700386643409729}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.9298107624053955},{"id":"https://openalex.org/C49740808","wikidata":"https://www.wikidata.org/wiki/Q7550116","display_name":"Sobol sequence","level":3,"score":0.8966413736343384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5729677677154541},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.5621016025543213},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5537416934967041},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5332927703857422},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5294225811958313},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4912702441215515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48917630314826965},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42347946763038635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3629857301712036},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3536158800125122},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27580201625823975},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18133017420768738},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12657946348190308},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.11344030499458313},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11308848857879639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07700386643409729},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3583133.3590726","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3583133.3590726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Companion Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04399352v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04399352","pdf_url":"https://inria.hal.science/hal-04399352/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GECCO '23 Companion: Companion Conference on Genetic and Evolutionary Computation, 2023, Lisbon, Portugal. pp.155-158, ⟨10.1145/3583133.3590726⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04399352v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04399352","pdf_url":"https://inria.hal.science/hal-04399352/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GECCO '23 Companion: Companion Conference on Genetic and Evolutionary Computation, 2023, Lisbon, Portugal. pp.155-158, ⟨10.1145/3583133.3590726⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385188956.pdf","grobid_xml":"https://content.openalex.org/works/W4385188956.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1533955387","https://openalex.org/W2017001763","https://openalex.org/W2074045110","https://openalex.org/W2149847160","https://openalex.org/W2606327391","https://openalex.org/W2739858255","https://openalex.org/W2962878123","https://openalex.org/W4206397399","https://openalex.org/W4231154391"],"related_works":["https://openalex.org/W4390576425","https://openalex.org/W2087550141","https://openalex.org/W3030915585","https://openalex.org/W2949491395","https://openalex.org/W2965112349","https://openalex.org/W2067529211","https://openalex.org/W4385188956","https://openalex.org/W2024824006","https://openalex.org/W2060845187","https://openalex.org/W1524332342"],"abstract_inverted_index":{"The":[0],"use":[1],"of":[2,18,64],"MAP-Elites":[3],"in":[4,131],"high-dimensional":[5],"behavioral":[6],"spaces":[7,95,107],"requires":[8],"a":[9,41,46,85,114,124,132],"scalable":[10],"method":[11],"for":[12,49,67,94],"dividing":[13],"the":[14,23,32],"space":[15],"into":[16],"regions":[17,29,63],"equal":[19,65],"volume.":[20],"So":[21],"far,":[22],"recommended":[24],"approach":[25],"to":[26,61],"generate":[27,62],"these":[28],"has":[30,40],"been":[31],"Centroidal":[33],"Voronoi":[34],"Tesselation":[35],"(CVT),":[36],"but":[37],"this":[38,55],"algorithm":[39],"significant":[42],"computational":[43],"cost":[44],"(typically":[45],"few":[47,133],"minutes":[48],"more":[50],"than":[51],"50":[52],"dimensions).":[53],"In":[54,69,120],"paper,":[56],"we":[57,71],"investigate":[58],"alternative":[59],"approaches":[60],"volumes":[66],"MAP-Elites.":[68],"particular,":[70],"experiment":[72],"with":[73,77,96,108],"generating":[74],"region":[75],"centroids":[76,130],"low-discrepancy":[78],"sequences":[79],"(Sobol,":[80],"Halton),":[81],"pseudorandom":[82],"numbers,":[83],"and":[84,112],"simple":[86],"blue":[87],"noise":[88],"generator.":[89],"Our":[90],"results":[91],"show":[92],"that,":[93],"100":[97],"dimensions,":[98],"most":[99],"methods":[100],"perform":[101],"similarly,":[102],"including":[103],"pseudo-random":[104],"numbers.":[105],"For":[106],"dimensions":[109,122],"between":[110],"5":[111],"50,":[113],"CVT":[115],"generates":[116,128],"significantly":[117],"better":[118],"centroids.":[119],"lower":[121],"(1--5),":[123],"scrambled":[125],"Sobol":[126],"sequence":[127],"well-spread":[129],"milliseconds.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}