{"id":"https://openalex.org/W3012223533","doi":"https://doi.org/10.1109/cdc40024.2019.9029798","title":"On Primal and Dual Approaches for Distributed Stochastic Convex Optimization over Networks","display_name":"On Primal and Dual Approaches for Distributed Stochastic Convex Optimization over Networks","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3012223533","doi":"https://doi.org/10.1109/cdc40024.2019.9029798","mag":"3012223533"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5000974070","display_name":"Darina Dvinskikh","orcid":"https://orcid.org/0000-0003-1757-1021"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Darina Dvinskikh","raw_affiliation_strings":["Weierstrass Institute for Applied Analysis and Stochastics, Germany"],"affiliations":[{"raw_affiliation_string":"Weierstrass Institute for Applied Analysis and Stochastics, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087594198","display_name":"Eduard Gorbunov","orcid":"https://orcid.org/0000-0002-3370-4130"},"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":"Eduard Gorbunov","raw_affiliation_strings":["Moscow Institute of Physics and Technology, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028866398","display_name":"Alexander Gasnikov","orcid":"https://orcid.org/0000-0002-7386-039X"},"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/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]},{"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":"Alexander Gasnikov","raw_affiliation_strings":["Moscow Institute of Physics and Technology, Institute for Information Transmission Problems, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Institute for Information Transmission Problems, Russia","institution_ids":["https://openalex.org/I4210107660","https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082992656","display_name":"Pavel Dvurechensky","orcid":"https://orcid.org/0000-0003-1201-2343"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pavel Dvurechensky","raw_affiliation_strings":["Weierstrass Institute for Applied Analysis and Stochastics, Germany"],"affiliations":[{"raw_affiliation_string":"Weierstrass Institute for Applied Analysis and Stochastics, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047076392","display_name":"C\u00e9sar A. Uribe","orcid":"https://orcid.org/0000-0002-7080-9724"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cesar A. Uribe","raw_affiliation_strings":["Laboratory for Information and Decision Systems (LIDS), Massachusetts Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems (LIDS), Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5000974070"],"corresponding_institution_ids":["https://openalex.org/I4210092021"],"apc_list":null,"apc_paid":null,"fwci":3.0341,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.93449119,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"7435","last_page":"7440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9955999851226807,"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/oracle","display_name":"Oracle","score":0.7527981996536255},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6212671995162964},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6197248101234436},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.6071733236312866},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5935918092727661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5572778582572937},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5537626147270203},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5345031023025513},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5119224786758423},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5098568797111511},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48021993041038513},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4767635464668274},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44808828830718994},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.42965254187583923},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42841625213623047},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4171680808067322},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41311848163604736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3689579963684082},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10020935535430908}],"concepts":[{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.7527981996536255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6212671995162964},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6197248101234436},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.6071733236312866},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5935918092727661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5572778582572937},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5537626147270203},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5345031023025513},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5119224786758423},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5098568797111511},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48021993041038513},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4767635464668274},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44808828830718994},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.42965254187583923},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42841625213623047},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4171680808067322},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41311848163604736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3689579963684082},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10020935535430908},{"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029798","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:doi:10.20347/wias.preprint.2690","is_oa":false,"landing_page_url":"https://archive.wias-berlin.de/receive/wias_mods_00003847?XSL.Transformer=mods","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1984661256","https://openalex.org/W2011082168","https://openalex.org/W2066332749","https://openalex.org/W2077371116","https://openalex.org/W2114085163","https://openalex.org/W2121210949","https://openalex.org/W2124541940","https://openalex.org/W2124768887","https://openalex.org/W2128745767","https://openalex.org/W2133478409","https://openalex.org/W2140655807","https://openalex.org/W2167919134","https://openalex.org/W2168909589","https://openalex.org/W2184623761","https://openalex.org/W2271840356","https://openalex.org/W2290899512","https://openalex.org/W2514921637","https://openalex.org/W2591577911","https://openalex.org/W2594698600","https://openalex.org/W2608734364","https://openalex.org/W2750667163","https://openalex.org/W2752013009","https://openalex.org/W2804833007","https://openalex.org/W2807548807","https://openalex.org/W2912987868","https://openalex.org/W2936995161","https://openalex.org/W2951523010","https://openalex.org/W2952383732","https://openalex.org/W2955862560","https://openalex.org/W2963043933","https://openalex.org/W2963099310","https://openalex.org/W2963118811","https://openalex.org/W2963270883","https://openalex.org/W2963649943","https://openalex.org/W2963855576","https://openalex.org/W2964082682","https://openalex.org/W4250134109","https://openalex.org/W4289560234","https://openalex.org/W4292363360","https://openalex.org/W4294410806","https://openalex.org/W4294636132","https://openalex.org/W4300398882","https://openalex.org/W6667037994","https://openalex.org/W6686239164","https://openalex.org/W6694517276","https://openalex.org/W6696902939","https://openalex.org/W6719731901","https://openalex.org/W6732116920","https://openalex.org/W6752422486","https://openalex.org/W6752841457","https://openalex.org/W6754140693","https://openalex.org/W6758606114","https://openalex.org/W6761030284","https://openalex.org/W6764194201","https://openalex.org/W6929297887"],"related_works":["https://openalex.org/W2073713056","https://openalex.org/W3110702597","https://openalex.org/W286470338","https://openalex.org/W2985979428","https://openalex.org/W2510140549","https://openalex.org/W2187449906","https://openalex.org/W2114397143","https://openalex.org/W2962818859","https://openalex.org/W2000285254","https://openalex.org/W2154682027"],"abstract_inverted_index":{"We":[0,16],"introduce":[1],"primal":[2,30],"and":[3,31,56,79,108],"dual":[4,32,37],"stochastic":[5,38],"gradient":[6],"oracle":[7],"methods":[8,21],"for":[9,29,35,46],"distributed":[10],"convex":[11],"optimization":[12],"problems":[13],"over":[14],"networks.":[15],"show":[17],"that":[18,69,93],"the":[19,47,73,76,80,84,102,105,109],"proposed":[20],"are":[22],"optimal":[23,81],"(in":[24],"terms":[25,52],"of":[26,49,53,58,87],"communication":[27],"steps)":[28],"oracles.":[33],"Additionally,":[34],"a":[36,42,66,99],"oracle,":[39],"we":[40,90],"propose":[41],"new":[43,67],"analysis":[44,62],"method":[45],"rate":[48],"convergence":[50],"in":[51],"duality":[54],"gap":[55],"probability":[57],"large":[59],"deviations.":[60],"This":[61],"is":[63],"based":[64],"on":[65],"technique":[68],"allows":[70],"to":[71,98,101],"bound":[72],"distance":[74,95,103],"between":[75,104],"iteration":[77],"sequence":[78],"point.":[82],"By":[83],"proper":[85],"choice":[86],"batch":[88],"size,":[89],"can":[91],"guarantee":[92],"this":[94],"equals":[96],"(up":[97],"constant)":[100],"starting":[106],"point":[107],"solution.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
