{"id":"https://openalex.org/W3092446513","doi":"https://doi.org/10.1137/19m1293855","title":"Non-stationary First-Order Primal-Dual Algorithms with Faster Convergence Rates","display_name":"Non-stationary First-Order Primal-Dual Algorithms with Faster Convergence Rates","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3092446513","doi":"https://doi.org/10.1137/19m1293855","mag":"3092446513"},"language":"en","primary_location":{"id":"doi:10.1137/19m1293855","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293855","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5056282016","display_name":"Quoc Tran-Dinh","orcid":"https://orcid.org/0000-0002-1077-2579"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Quoc Tran-Dinh","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318-Hanes Hall, Chapel Hill, NC, 27599-3260, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318-Hanes Hall, Chapel Hill, NC, 27599-3260, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108725906","display_name":"Yuzixuan Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuzixuan Zhu","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318-Hanes Hall, Chapel Hill, NC, 27599-3260, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill (UNC), 318-Hanes Hall, Chapel Hill, NC, 27599-3260, USA","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056282016"],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":2.4565,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.91525931,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"30","issue":"4","first_page":"2866","last_page":"2896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9973999857902527,"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/ergodic-theory","display_name":"Ergodic theory","score":0.8080395460128784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7051076889038086},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6922258138656616},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6886396408081055},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6484191417694092},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5569362044334412},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5240809321403503},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.49418094754219055},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48297157883644104},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45424944162368774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3891565203666687},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34067434072494507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24830254912376404},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07972893118858337},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.05824512243270874}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8080395460128784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7051076889038086},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6922258138656616},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6886396408081055},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6484191417694092},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5569362044334412},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5240809321403503},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.49418094754219055},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48297157883644104},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45424944162368774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3891565203666687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34067434072494507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24830254912376404},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07972893118858337},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.05824512243270874},{"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1293855","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293855","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1633690903","display_name":null,"funder_award_id":"00014-20","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2336166159","display_name":null,"funder_award_id":"4-20-","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2435350416","display_name":null,"funder_award_id":"N00014-20-1-20","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5285986015","display_name":null,"funder_award_id":"DMS-1619884","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6563119792","display_name":null,"funder_award_id":"N00014-20-1-2088","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7034037648","display_name":null,"funder_award_id":"4-20-1-","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8195069155","display_name":null,"funder_award_id":"1619884","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1607518970","https://openalex.org/W1768854696","https://openalex.org/W1825307613","https://openalex.org/W1837565340","https://openalex.org/W1966953121","https://openalex.org/W1969128975","https://openalex.org/W1972552174","https://openalex.org/W1981112674","https://openalex.org/W1991386640","https://openalex.org/W1996287810","https://openalex.org/W1998991750","https://openalex.org/W2000955051","https://openalex.org/W2006262045","https://openalex.org/W2007437458","https://openalex.org/W2016910236","https://openalex.org/W2019569173","https://openalex.org/W2021548137","https://openalex.org/W2022377207","https://openalex.org/W2030224660","https://openalex.org/W2042532613","https://openalex.org/W2056578325","https://openalex.org/W2058532290","https://openalex.org/W2061334381","https://openalex.org/W2076261573","https://openalex.org/W2084845949","https://openalex.org/W2089559088","https://openalex.org/W2092663520","https://openalex.org/W2092851214","https://openalex.org/W2094631364","https://openalex.org/W2100556411","https://openalex.org/W2114423093","https://openalex.org/W2126051190","https://openalex.org/W2167732364","https://openalex.org/W2220137601","https://openalex.org/W2228647872","https://openalex.org/W2234873940","https://openalex.org/W2241435520","https://openalex.org/W2405803404","https://openalex.org/W2510358906","https://openalex.org/W2580889931","https://openalex.org/W2605995072","https://openalex.org/W2625685405","https://openalex.org/W2725989512","https://openalex.org/W2798365234","https://openalex.org/W2886903283","https://openalex.org/W2893640118","https://openalex.org/W2962713896","https://openalex.org/W2963073480","https://openalex.org/W2963496223","https://openalex.org/W2963654173","https://openalex.org/W2983683136","https://openalex.org/W3098814603","https://openalex.org/W3100706439","https://openalex.org/W3100820186","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2390585021","https://openalex.org/W412641959","https://openalex.org/W50969306","https://openalex.org/W4292101436","https://openalex.org/W2341040961","https://openalex.org/W4287207389","https://openalex.org/W2779828239","https://openalex.org/W2558128491","https://openalex.org/W2898838759","https://openalex.org/W3153752017"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"17":[17],"October":[18,25],"2019Accepted:":[19],"07":[20,24],"July":[21],"2020Published":[22],"online:":[23],"2020Keywordsnon-stationary":[26],"primal-dual":[27],"method,":[28],"non-ergodic":[29],"convergence":[30,33],"rate,":[31],"fast":[32],"rates,":[34],"composite":[35],"convex":[36,39],"minimization,":[37],"constrained":[38],"optimizationAMS":[40],"Subject":[41],"Headings90C25,":[42],"90C06,":[43],"90-08Publication":[44],"DataISSN":[45],"(print):":[46],"1052-6234ISSN":[47],"(online):":[48],"1095-7189Publisher:":[49],"Society":[50],"for":[51],"Industrial":[52],"and":[53],"Applied":[54],"MathematicsCODEN:":[55],"sjope8":[56]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}