{"id":"https://openalex.org/W2586930666","doi":"https://doi.org/10.1134/s0005117917020035","title":"Stochastic online optimization. Single-point and multi-point non-linear multi-armed bandits. Convex and strongly-convex case","display_name":"Stochastic online optimization. Single-point and multi-point non-linear multi-armed bandits. Convex and strongly-convex case","publication_year":2017,"publication_date":"2017-02-01","ids":{"openalex":"https://openalex.org/W2586930666","doi":"https://doi.org/10.1134/s0005117917020035","mag":"2586930666"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117917020035","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117917020035","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5028866398","display_name":"Alexander Gasnikov","orcid":"https://orcid.org/0000-0002-7386-039X"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. V. Gasnikov","raw_affiliation_strings":["Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia","Moscow Institute of Physics and Technology (State University), Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology (State University), Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029889274","display_name":"Ekaterina Krymova","orcid":"https://orcid.org/0000-0002-5313-3451"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"E. A. Krymova","raw_affiliation_strings":["Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112382004","display_name":"A. A. Lagunovskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I86427540","display_name":"Keldysh Institute of Applied Mathematics","ror":"https://ror.org/01dv3hq14","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601","https://openalex.org/I86427540"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Lagunovskaya","raw_affiliation_strings":["Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia","Moscow Institute of Physics and Technology (State University), Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I86427540"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology (State University), Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039680824","display_name":"Ilnura Usmanova","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. N. Usmanova","raw_affiliation_strings":["Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia","Moscow Institute of Physics and Technology (State University), Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology (State University), Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044279668","display_name":"Fedor Fedorenko","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"F. A. Fedorenko","raw_affiliation_strings":["Moscow Institute of Physics and Technology (State University), Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology (State University), Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028866398"],"corresponding_institution_ids":["https://openalex.org/I153845743","https://openalex.org/I4210107660"],"apc_list":null,"apc_paid":null,"fwci":5.1071,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95150896,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"78","issue":"2","first_page":"224","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9976000189781189,"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":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6373310685157776},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6277504563331604},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5867674946784973},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5758635997772217},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.572014331817627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5379221439361572},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.505176842212677},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49469396471977234},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.48075100779533386},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.46650925278663635},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4526869058609009},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.45239418745040894},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4498991072177887},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4270116686820984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33875933289527893},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1274329423904419},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05696380138397217}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6373310685157776},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6277504563331604},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5867674946784973},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5758635997772217},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.572014331817627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5379221439361572},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.505176842212677},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49469396471977234},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.48075100779533386},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.46650925278663635},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4526869058609009},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.45239418745040894},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4498991072177887},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4270116686820984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33875933289527893},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1274329423904419},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05696380138397217},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117917020035","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117917020035","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320334801","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W153281708","https://openalex.org/W578386104","https://openalex.org/W1547176662","https://openalex.org/W1568307856","https://openalex.org/W1569098853","https://openalex.org/W1570963478","https://openalex.org/W1573820523","https://openalex.org/W1860742233","https://openalex.org/W1945124274","https://openalex.org/W2004001705","https://openalex.org/W2049934117","https://openalex.org/W2077723394","https://openalex.org/W2096840748","https://openalex.org/W2169713291","https://openalex.org/W2171830216","https://openalex.org/W2184340014","https://openalex.org/W2513180554","https://openalex.org/W2554066544","https://openalex.org/W2594297742","https://openalex.org/W2950929549","https://openalex.org/W3133888454","https://openalex.org/W4292022450","https://openalex.org/W4293314468"],"related_works":["https://openalex.org/W4286899070","https://openalex.org/W4323366756","https://openalex.org/W2913271688","https://openalex.org/W2893302333","https://openalex.org/W4285259204","https://openalex.org/W3207830353","https://openalex.org/W3024083111","https://openalex.org/W2963926425","https://openalex.org/W3109198354","https://openalex.org/W3109737792"],"abstract_inverted_index":{"In":[0],"this":[1,38],"paper":[2,39],"the":[3,7,23,43,47,61],"gradient-free":[4],"modification":[5],"of":[6,37,46],"mirror":[8],"descent":[9],"method":[10],"for":[11],"convex":[12],"stochastic":[13],"online":[14],"optimization":[15],"problems":[16],"is":[17,26,40],"proposed.":[18],"The":[19,35],"crucial":[20],"assumption":[21],"in":[22],"problem":[24],"setting":[25],"that":[27],"function":[28],"realizations":[29],"are":[30],"observed":[31],"with":[32],"minor":[33],"noises.":[34],"aim":[36],"to":[41,51],"derive":[42],"convergence":[44,62],"rate":[45],"proposed":[48],"methods":[49],"and":[50],"determine":[52],"a":[53],"noise":[54],"level":[55],"which":[56],"does":[57],"not":[58],"significantly":[59],"affect":[60],"rate.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3}],"updated_date":"2026-03-16T07:19:36.451410","created_date":"2025-10-10T00:00:00"}
