{"id":"https://openalex.org/W2612577285","doi":"https://doi.org/10.1145/3071178.3071252","title":"Deriving and improving CMA-ES with information geometric trust regions","display_name":"Deriving and improving CMA-ES with information geometric trust regions","publication_year":2017,"publication_date":"2017-06-30","ids":{"openalex":"https://openalex.org/W2612577285","doi":"https://doi.org/10.1145/3071178.3071252","mag":"2612577285"},"language":"en","primary_location":{"id":"doi:10.1145/3071178.3071252","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3071178.3071252","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://figshare.com/articles/conference_contribution/Deriving_and_improving_CMA-ES_with_Information_geometric_trust_regions/25172234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007133617","display_name":"Abbas Abdolmaleki","orcid":"https://orcid.org/0000-0001-6692-5856"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]},{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Abbas Abdolmaleki","raw_affiliation_strings":["University of Aveiro and University of Porto"],"affiliations":[{"raw_affiliation_string":"University of Aveiro and University of Porto","institution_ids":["https://openalex.org/I60858718","https://openalex.org/I182534213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018550813","display_name":"Bob Price","orcid":null},"institutions":[{"id":"https://openalex.org/I173498003","display_name":"Palo Alto Research Center","ror":"https://ror.org/0529fxt39","country_code":"US","type":"facility","lineage":["https://openalex.org/I173498003","https://openalex.org/I4210132870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bob Price","raw_affiliation_strings":["Palo Alto Research Center"],"affiliations":[{"raw_affiliation_string":"Palo Alto Research Center","institution_ids":["https://openalex.org/I173498003"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055569781","display_name":"Nuno Lau","orcid":"https://orcid.org/0000-0003-0513-158X"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Nuno Lau","raw_affiliation_strings":["University of Aveiro"],"affiliations":[{"raw_affiliation_string":"University of Aveiro","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089812166","display_name":"Lu\u00eds Paulo Reis","orcid":"https://orcid.org/0000-0002-4709-1718"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Luis Paulo Reis","raw_affiliation_strings":["University of Minho and University of Porto"],"affiliations":[{"raw_affiliation_string":"University of Minho and University of Porto","institution_ids":["https://openalex.org/I99682543","https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110467801","display_name":"Gerhard Neumann","orcid":"https://orcid.org/0000-0002-5483-4225"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]},{"id":"https://openalex.org/I51532219","display_name":"University of Lincoln","ror":"https://ror.org/03yeq9x20","country_code":"GB","type":"education","lineage":["https://openalex.org/I51532219"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Gerhard Neumann","raw_affiliation_strings":["TU Darmstadt, Darmstadt and University of Lincoln"],"affiliations":[{"raw_affiliation_string":"TU Darmstadt, Darmstadt and University of Lincoln","institution_ids":["https://openalex.org/I31512782","https://openalex.org/I51532219"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007133617"],"corresponding_institution_ids":["https://openalex.org/I182534213","https://openalex.org/I60858718"],"apc_list":null,"apc_paid":null,"fwci":2.0916,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.91624427,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"657","last_page":"664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9972000122070312,"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":0.9972000122070312,"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/T11326","display_name":"Stock Market Forecasting Methods","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9818000197410583,"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/cma-es","display_name":"CMA-ES","score":0.9274916648864746},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6930429935455322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6342765092849731},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6111583113670349},{"id":"https://openalex.org/keywords/evolution-strategy","display_name":"Evolution strategy","score":0.5263351798057556},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5043653249740601},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4909818470478058},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47690701484680176},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.46895211935043335},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.46410927176475525},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.42477500438690186},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4159950315952301},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4153413474559784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2898702621459961},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.28580957651138306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2412794828414917},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.13695383071899414}],"concepts":[{"id":"https://openalex.org/C205555498","wikidata":"https://www.wikidata.org/wiki/Q505588","display_name":"CMA-ES","level":4,"score":0.9274916648864746},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6930429935455322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6342765092849731},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6111583113670349},{"id":"https://openalex.org/C207002847","wikidata":"https://www.wikidata.org/wiki/Q2912857","display_name":"Evolution strategy","level":3,"score":0.5263351798057556},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5043653249740601},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4909818470478058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47690701484680176},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.46895211935043335},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.46410927176475525},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.42477500438690186},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4159950315952301},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4153413474559784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2898702621459961},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.28580957651138306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2412794828414917},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.13695383071899414},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/3071178.3071252","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3071178.3071252","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:eprints.lincoln.ac.uk:27056","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196275","display_name":"Lincoln Repository (University of Lincoln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51532219","host_organization_name":"University of Lincoln","host_organization_lineage":["https://openalex.org/I51532219"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop contribution"},{"id":"pmh:oai:figshare.com:article/25172234","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/Deriving_and_improving_CMA-ES_with_Information_geometric_trust_regions/25172234","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":"Text"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/51451","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/51451","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"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":"conference paper"},{"id":"pmh:oai:repositorium.uminho.pt:1822/51451","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/51451","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/25172234","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/Deriving_and_improving_CMA-ES_with_Information_geometric_trust_regions/25172234","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":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1480347379","https://openalex.org/W1499669280","https://openalex.org/W1771410628","https://openalex.org/W1877088214","https://openalex.org/W1970789124","https://openalex.org/W1971514372","https://openalex.org/W1998510482","https://openalex.org/W2034813183","https://openalex.org/W2049633694","https://openalex.org/W2080039641","https://openalex.org/W2108579172","https://openalex.org/W2123967136","https://openalex.org/W2138537392","https://openalex.org/W2151965738","https://openalex.org/W2163302320","https://openalex.org/W2185709919","https://openalex.org/W2211399972","https://openalex.org/W2220533764","https://openalex.org/W2336687883","https://openalex.org/W2560674852","https://openalex.org/W2949608212"],"related_works":["https://openalex.org/W1492325323","https://openalex.org/W1579744901","https://openalex.org/W2510724351","https://openalex.org/W3087341323","https://openalex.org/W2465356436","https://openalex.org/W2552260697","https://openalex.org/W3119219900","https://openalex.org/W2926551842","https://openalex.org/W2022594112","https://openalex.org/W4211082860"],"abstract_inverted_index":{"CMA-ES":[0,81,110,157],"is":[1,142],"one":[2],"of":[3,19,56,64,66,87,101,124],"the":[4,17,38,44,61,85,99,102,112,115,122,130],"most":[5],"popular":[6],"stochastic":[7,89],"search":[8,90],"algorithms.":[9],"It":[10],"performs":[11,151],"favourably":[12,152],"in":[13,106,153],"many":[14,26],"tasks":[15],"without":[16],"need":[18],"extensive":[20],"parameter":[21],"tuning.":[22],"The":[23],"algorithm":[24],"has":[25],"beneficial":[27],"properties,":[28],"including":[29],"automatic":[30],"step-size":[31],"adaptation,":[32],"efficient":[33],"covariance":[34,116],"updates":[35,108],"that":[36,98],"incorporates":[37],"current":[39],"samples":[40],"as":[41,43],"well":[42,57,71],"evolution":[45],"path":[46],"and":[47,114,150],"its":[48],"invariance":[49],"properties.":[50],"Its":[51],"update":[52,82,127],"rules":[53,68,83],"are":[54,69],"composed":[55],"established":[58],"heuristics":[59],"where":[60],"theoretical":[62],"foundations":[63],"some":[65],"these":[67],"also":[70],"understood.":[72],"In":[73],"this":[74],"paper":[75],"we":[76],"will":[77],"fully":[78,143],"derive":[79],"all":[80],"within":[84],"framework":[86],"expectation-maximisation-based":[88],"algorithms":[91],"using":[92],"information-geometric":[93],"trust":[94,103],"regions.":[95],"We":[96],"show":[97],"use":[100],"region":[104],"results":[105],"similar":[107],"to":[109,155],"for":[111,121,129],"mean":[113],"matrix":[117],"while":[118],"it":[119],"allows":[120],"derivation":[123],"an":[125],"improved":[126],"rule":[128],"step-size.":[131],"Our":[132],"new":[133],"algorithm,":[134],"Trust-Region":[135],"Co-variance":[136],"Matrix":[137],"Adaptation":[138],"Evolution":[139],"Strategy":[140],"(TR-CMA-ES)":[141],"derived":[144],"from":[145],"first":[146],"order":[147],"optimization":[148],"principles":[149],"compare":[154],"standard":[156],"algorithm.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}