{"id":"https://openalex.org/W1607959450","doi":"https://doi.org/10.1007/11844297_4","title":"On the Ultimate Convergence Rates for Isotropic Algorithms and the Best Choices Among Various Forms of Isotropy","display_name":"On the Ultimate Convergence Rates for Isotropic Algorithms and the Best Choices Among Various Forms of Isotropy","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1607959450","doi":"https://doi.org/10.1007/11844297_4","mag":"1607959450"},"language":"en","primary_location":{"id":"doi:10.1007/11844297_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11844297_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034012952","display_name":"Olivier Teytaud","orcid":"https://orcid.org/0000-0001-5570-5209"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Teytaud","raw_affiliation_strings":["TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041958651","display_name":"Sylvain Gelly","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sylvain Gelly","raw_affiliation_strings":["TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113360576","display_name":"J\u00e9r\u00e9mie Mary","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Mary","raw_affiliation_strings":["TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, bat 490, 91405, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"TAO (Inria), LRI, UMR 8623(CNRS \u2013 Univ. Paris-Sud), Univ. Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"32","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9994000196456909,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9994000196456909,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.9340737462043762},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5654093623161316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5581619143486023},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5251806974411011},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4948973059654236},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.46518176794052124},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46080920100212097},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45507514476776123},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41195663809776306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39384642243385315},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34926870465278625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32182061672210693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28799736499786377},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16463682055473328}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.9340737462043762},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5654093623161316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5581619143486023},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5251806974411011},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4948973059654236},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.46518176794052124},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46080920100212097},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45507514476776123},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41195663809776306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39384642243385315},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34926870465278625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32182061672210693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28799736499786377},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16463682055473328},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/11844297_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11844297_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.9625","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.9625","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.pascal-network.org/archive/00002429/01/lbedalong.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.205.8999","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.8999","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/%7Eteytaud/lbeda.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00112816v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00112816","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Parallel Problem Solving from Nature, Sep 2006, Reykjavik, Iceland","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1498178627","https://openalex.org/W1542531640","https://openalex.org/W1546372806","https://openalex.org/W1599814229","https://openalex.org/W1689332836","https://openalex.org/W1818963346","https://openalex.org/W1865850638","https://openalex.org/W1976503157","https://openalex.org/W1995990042","https://openalex.org/W2005136695","https://openalex.org/W2038210983","https://openalex.org/W2056641273","https://openalex.org/W2078409719","https://openalex.org/W2112036188","https://openalex.org/W2138537392","https://openalex.org/W2143308877","https://openalex.org/W2161244294","https://openalex.org/W2497930546","https://openalex.org/W4254343065","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W2794789911","https://openalex.org/W2073713056","https://openalex.org/W4298134547","https://openalex.org/W3110702597","https://openalex.org/W2125620709","https://openalex.org/W2122976425","https://openalex.org/W2088773039","https://openalex.org/W1584605730","https://openalex.org/W4300509253","https://openalex.org/W4319874546"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
