{"id":"https://openalex.org/W2731312897","doi":"https://doi.org/10.1145/3084454","title":"Expected Values Estimated via Mean-Field Approximation are 1/N-Accurate","display_name":"Expected Values Estimated via Mean-Field Approximation are 1/N-Accurate","publication_year":2017,"publication_date":"2017-06-13","ids":{"openalex":"https://openalex.org/W2731312897","doi":"https://doi.org/10.1145/3084454","mag":"2731312897"},"language":"en","primary_location":{"id":"doi:10.1145/3084454","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3084454","pdf_url":null,"source":{"id":"https://openalex.org/S4210193547","display_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","issn_l":"2476-1249","issn":["2476-1249"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","raw_type":"journal-article"},"type":"article","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/A5052639125","display_name":"Nicolas Gast","orcid":"https://orcid.org/0000-0001-6884-8698"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Gast","raw_affiliation_strings":["Inria, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Inria, Grenoble, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210101348","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052639125"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210101348","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":11.0406,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.98313083,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"1","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12238","display_name":"Green IT and Sustainability","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T13553","display_name":"Age of Information Optimization","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mean-field-theory","display_name":"Mean field theory","score":0.6970278024673462},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5955506563186646},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.5377865433692932},{"id":"https://openalex.org/keywords/empirical-measure","display_name":"Empirical measure","score":0.530673086643219},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.49294590950012207},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46257948875427246},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.458446741104126},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4435201585292816},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.43497854471206665},{"id":"https://openalex.org/keywords/perturbation-theory","display_name":"Perturbation theory (quantum mechanics)","score":0.4109400510787964},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4068695902824402},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.332925409078598},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16611891984939575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1393498182296753},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1311134397983551},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10858672857284546},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0928536057472229}],"concepts":[{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.6970278024673462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5955506563186646},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.5377865433692932},{"id":"https://openalex.org/C206654554","wikidata":"https://www.wikidata.org/wiki/Q5374247","display_name":"Empirical measure","level":2,"score":0.530673086643219},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.49294590950012207},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46257948875427246},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.458446741104126},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4435201585292816},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43497854471206665},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.4109400510787964},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4068695902824402},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.332925409078598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16611891984939575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1393498182296753},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1311134397983551},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10858672857284546},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0928536057472229},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3084454","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3084454","pdf_url":null,"source":{"id":"https://openalex.org/S4210193547","display_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","issn_l":"2476-1249","issn":["2476-1249"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4338682322","display_name":null,"funder_award_id":"600708","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1587704401","https://openalex.org/W1998685896","https://openalex.org/W2010714742","https://openalex.org/W2014277048","https://openalex.org/W2018096052","https://openalex.org/W2021321016","https://openalex.org/W2029804570","https://openalex.org/W2046128376","https://openalex.org/W2050246542","https://openalex.org/W2062259223","https://openalex.org/W2071490795","https://openalex.org/W2084890397","https://openalex.org/W2087056310","https://openalex.org/W2096829378","https://openalex.org/W2100291136","https://openalex.org/W2112157291","https://openalex.org/W2124303307","https://openalex.org/W2128604165","https://openalex.org/W2165336784","https://openalex.org/W2169045095","https://openalex.org/W2402932823","https://openalex.org/W2414210137","https://openalex.org/W3036224849","https://openalex.org/W3128062393","https://openalex.org/W4236376897","https://openalex.org/W4239581215","https://openalex.org/W4249597034","https://openalex.org/W4253835932"],"related_works":["https://openalex.org/W2614466247","https://openalex.org/W2091961513","https://openalex.org/W1994964364","https://openalex.org/W2080039722","https://openalex.org/W2042901265","https://openalex.org/W1971720173","https://openalex.org/W2020034306","https://openalex.org/W2052112956","https://openalex.org/W2766772220","https://openalex.org/W3148413673"],"abstract_inverted_index":{"Mean-field":[0],"approximation":[1,70],"is":[2,25,132,147,197],"a":[3,39,53,113,191],"powerful":[4],"tool":[5],"to":[6,52,97,164,184],"study":[7],"large-scale":[8],"stochastic":[9],"systems":[10],"such":[11],"as":[12,179],"data-centers":[13],"--":[14],"one":[15],"example":[16],"being":[17],"the":[18,28,35,66,81,85,121,125,129,152,165,180,186],"famous":[19],"power":[20],"of":[21,38,41,68,87,145,154,190],"two-choice":[22,167,192],"paradigm.":[23],"It":[24],"shown":[26],"in":[27],"literature":[29],"that":[30,118,120,140,142,150],"under":[31,79],"quite":[32],"general":[33,83],"conditions,":[34,84],"empirical":[36],"measure":[37],"system":[40,131,193],"N":[42,50,95,195,203,208],"interacting":[43],"objects":[44],"converges":[45,91],"at":[46,92],"rate":[47,93,144],"O":[48,206],"(1\u221a":[49],")":[51,96],"deterministic":[54],"dynamical":[55,130],"system,":[56],"called":[57],"its":[58,98],"mean-field":[59,69,99,108],"approximation.":[60,100],"In":[61],"this":[62,143],"paper,":[63],"we":[64,160,176],"revisit":[65],"accuracy":[67],"by":[71],"focusing":[72],"on":[73],"expected":[74],"values.":[75],"We":[76,110,136],"show":[77],"that,":[78,178],"almost":[80],"same":[82],"expectation":[86],"any":[88],"performance":[89],"functional":[90],"O(1/":[94],"Our":[101],"result":[102,122,163],"applies":[103],"for":[104,124],"finite":[105],"and":[106,149],"infinite-dimensional":[107],"models.":[109],"also":[111],"develop":[112],"new":[114],"perturbation":[115],"theory":[116,172],"argument":[117],"shows":[119],"holds":[123],"stationary":[126],"regime":[127],"if":[128],"asymptotically":[133],"exponentially":[134],"stable.":[135],"provide":[137],"numerical":[138,174],"experiments":[139],"demonstrate":[141],"convergence":[146],"tight":[148],"illustrate":[151],"necessity":[153],"our":[155,162,171],"conditions.":[156],"As":[157],"an":[158],"example,":[159],"apply":[161],"classical":[166],"model.":[168],"By":[169],"combining":[170],"with":[173,194],"experiments,":[175],"claim":[177],"load":[181],"rho":[182],"goes":[183],"1,":[185],"average":[187],"queue":[188],"length":[189],"servers":[196],"log":[198],"2":[199,209],"1/(1--\u03c1)":[200],"+":[201,205],"1/(2":[202],"(1-\u03c1)":[204],"(1/":[207],").":[210]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
