{"id":"https://openalex.org/W2140671219","doi":"https://doi.org/10.1007/s10994-009-5102-1","title":"Efficient covariance matrix update for variable metric evolution strategies","display_name":"Efficient covariance matrix update for variable metric evolution strategies","publication_year":2009,"publication_date":"2009-01-23","ids":{"openalex":"https://openalex.org/W2140671219","doi":"https://doi.org/10.1007/s10994-009-5102-1","mag":"2140671219"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-009-5102-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-009-5102-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-009-5102-1.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10994-009-5102-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109162271","display_name":"Thorsten Suttorp","orcid":null},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thorsten Suttorp","raw_affiliation_strings":["Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, 44780, Bochum, Germany","Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, Bochum, Germany 44780"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, 44780, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, Bochum, Germany 44780","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039669927","display_name":"Nikolaus Hansen","orcid":"https://orcid.org/0000-0001-7788-4906"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Nikolaus Hansen","raw_affiliation_strings":["Microsoft Research\u2014INRIA Joint Centre & TAO, INRIA Saclay\u2014\u00cele-de-France, Parc Orsay Universit\u00e9, 28 rue Jean Rostand, 91893, Orsay Cedex, France","Microsoft Research--INRIA Joint Centre & TAO, INRIA Saclay--\u00cele-de-France, Parc Orsay Universit\u00e9, Orsay Cedex, France 91893#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research\u2014INRIA Joint Centre & TAO, INRIA Saclay\u2014\u00cele-de-France, Parc Orsay Universit\u00e9, 28 rue Jean Rostand, 91893, Orsay Cedex, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"Microsoft Research--INRIA Joint Centre & TAO, INRIA Saclay--\u00cele-de-France, Parc Orsay Universit\u00e9, Orsay Cedex, France 91893#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042628612","display_name":"Christian Igel","orcid":"https://orcid.org/0000-0003-2868-0856"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Igel","raw_affiliation_strings":["Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, 44780, Bochum, Germany","Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, Bochum, Germany 44780"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, 44780, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Institut f\u00fcr Neuroinformatik, Ruhr-Universit\u00e4t Bochum, Bochum, Germany 44780","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":16.3071,"has_fulltext":true,"cited_by_count":113,"citation_normalized_percentile":{"value":0.99173513,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"75","issue":"2","first_page":"167","last_page":"197"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9987000226974487,"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":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cma-es","display_name":"CMA-ES","score":0.9619964361190796},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6182945966720581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.596439778804779},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5690195560455322},{"id":"https://openalex.org/keywords/rational-quadratic-covariance-function","display_name":"Rational quadratic covariance function","score":0.5664073824882507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.544318437576294},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.541316032409668},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5236228108406067},{"id":"https://openalex.org/keywords/mat\u00e9rn-covariance-function","display_name":"Mat\u00e9rn covariance function","score":0.5009548664093018},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4376908838748932},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4281902313232422},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.4106990396976471},{"id":"https://openalex.org/keywords/covariance-intersection","display_name":"Covariance intersection","score":0.39774057269096375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3703741729259491},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.131830096244812}],"concepts":[{"id":"https://openalex.org/C205555498","wikidata":"https://www.wikidata.org/wiki/Q505588","display_name":"CMA-ES","level":4,"score":0.9619964361190796},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6182945966720581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.596439778804779},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5690195560455322},{"id":"https://openalex.org/C148893098","wikidata":"https://www.wikidata.org/wiki/Q7295778","display_name":"Rational quadratic covariance function","level":5,"score":0.5664073824882507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.544318437576294},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.541316032409668},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5236228108406067},{"id":"https://openalex.org/C118006245","wikidata":"https://www.wikidata.org/wiki/Q6792079","display_name":"Mat\u00e9rn covariance function","level":5,"score":0.5009548664093018},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4376908838748932},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4281902313232422},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.4106990396976471},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.39774057269096375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3703741729259491},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.131830096244812},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10994-009-5102-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-009-5102-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-009-5102-1.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.149.2633","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.2633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/~hansen/SuttorpEtAl.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.6615","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.6615","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lautaro.fb10.tu-berlin.de/user/niko/SuttorpEtAl.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.230.3083","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.3083","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/36/94/68/PDF/SuttorpEtAl-finaldraft.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.653.4242","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.653.4242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/inria-00369468/file/SuttorpEtAl-finaldraft.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00369468v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00369468","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":"Machine Learning, 2009","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1007/s10994-009-5102-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-009-5102-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-009-5102-1.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2140671219.pdf","grobid_xml":"https://content.openalex.org/works/W2140671219.grobid-xml"},"referenced_works_count":100,"referenced_works":["https://openalex.org/W79296482","https://openalex.org/W86416510","https://openalex.org/W102487131","https://openalex.org/W157687528","https://openalex.org/W160321423","https://openalex.org/W183421984","https://openalex.org/W1262227701","https://openalex.org/W1485111065","https://openalex.org/W1489517264","https://openalex.org/W1498178627","https://openalex.org/W1501622334","https://openalex.org/W1503196123","https://openalex.org/W1503296932","https://openalex.org/W1514875444","https://openalex.org/W1515201194","https://openalex.org/W1525375343","https://openalex.org/W1525997788","https://openalex.org/W1529123289","https://openalex.org/W1531722566","https://openalex.org/W1537786506","https://openalex.org/W1547172306","https://openalex.org/W1547737196","https://openalex.org/W1558919105","https://openalex.org/W1564754565","https://openalex.org/W1567473651","https://openalex.org/W1575661061","https://openalex.org/W1576660662","https://openalex.org/W1577680081","https://openalex.org/W1592418880","https://openalex.org/W1595498733","https://openalex.org/W1595541022","https://openalex.org/W1604295974","https://openalex.org/W1605438009","https://openalex.org/W1763200058","https://openalex.org/W1933385826","https://openalex.org/W1964166287","https://openalex.org/W1969680573","https://openalex.org/W1976503157","https://openalex.org/W1978970913","https://openalex.org/W1981971424","https://openalex.org/W1986490585","https://openalex.org/W2003066178","https://openalex.org/W2008499862","https://openalex.org/W2008892982","https://openalex.org/W2015088211","https://openalex.org/W2023782941","https://openalex.org/W2024372894","https://openalex.org/W2027964569","https://openalex.org/W2032038941","https://openalex.org/W2038420231","https://openalex.org/W2050079439","https://openalex.org/W2063887995","https://openalex.org/W2074308169","https://openalex.org/W2076582109","https://openalex.org/W2088313106","https://openalex.org/W2098907614","https://openalex.org/W2099087967","https://openalex.org/W2100830227","https://openalex.org/W2101677491","https://openalex.org/W2104578628","https://openalex.org/W2106307115","https://openalex.org/W2107471880","https://openalex.org/W2112036188","https://openalex.org/W2114528843","https://openalex.org/W2121863487","https://openalex.org/W2126105956","https://openalex.org/W2129389486","https://openalex.org/W2132414174","https://openalex.org/W2138537392","https://openalex.org/W2139182243","https://openalex.org/W2144357723","https://openalex.org/W2151953637","https://openalex.org/W2156579657","https://openalex.org/W2160088187","https://openalex.org/W2284330674","https://openalex.org/W2327699610","https://openalex.org/W2332950541","https://openalex.org/W2491502393","https://openalex.org/W2497309206","https://openalex.org/W2503015172","https://openalex.org/W2504494713","https://openalex.org/W2739265265","https://openalex.org/W2799099797","https://openalex.org/W2911283634","https://openalex.org/W2911640577","https://openalex.org/W2970974516","https://openalex.org/W3004042307","https://openalex.org/W3102715269","https://openalex.org/W4214717370","https://openalex.org/W4231918628","https://openalex.org/W4232082136","https://openalex.org/W4256451422","https://openalex.org/W4285719527","https://openalex.org/W4300766842","https://openalex.org/W6632023443","https://openalex.org/W6632772342","https://openalex.org/W6651095208","https://openalex.org/W6677916085","https://openalex.org/W6679000615","https://openalex.org/W7056264924"],"related_works":["https://openalex.org/W2126916073","https://openalex.org/W2022823194","https://openalex.org/W2572601863","https://openalex.org/W341081156","https://openalex.org/W1999545733","https://openalex.org/W4309794518","https://openalex.org/W3138022501","https://openalex.org/W2104432942","https://openalex.org/W3000630362","https://openalex.org/W4287906493"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}