{"id":"https://openalex.org/W4285148794","doi":"https://doi.org/10.1109/tac.2022.3173062","title":"Accelerated Dual Averaging Methods for Decentralized Constrained Optimization","display_name":"Accelerated Dual Averaging Methods for Decentralized Constrained Optimization","publication_year":2022,"publication_date":"2022-05-06","ids":{"openalex":"https://openalex.org/W4285148794","doi":"https://doi.org/10.1109/tac.2022.3173062"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3173062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3173062","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.05141","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101594202","display_name":"Changxin Liu","orcid":"https://orcid.org/0000-0002-0819-5303"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]},{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Changxin Liu","raw_affiliation_strings":["Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China","Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028730873","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-1337-5322"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100605691","display_name":"Huiping Li","orcid":"https://orcid.org/0000-0003-4620-8993"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiping Li","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048267931","display_name":"Wenli Du","orcid":"https://orcid.org/0000-0002-2676-6341"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenli Du","raw_affiliation_strings":["Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101594202"],"corresponding_institution_ids":["https://openalex.org/I143593769","https://openalex.org/I212119943"],"apc_list":null,"apc_paid":null,"fwci":0.8526,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74303242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"4","first_page":"2125","last_page":"2139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":0.9921000003814697,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9919000267982483,"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/convergence","display_name":"Convergence (economics)","score":0.6384071707725525},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.6237916946411133},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5536620020866394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5346777439117432},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.5148288607597351},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4738607406616211},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46601182222366333},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4615367352962494},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4561973214149475},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44301438331604004},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.44152602553367615},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.43507111072540283},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4234519898891449},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38124364614486694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3594539761543274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12765222787857056},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09679713845252991}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6384071707725525},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6237916946411133},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5536620020866394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5346777439117432},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5148288607597351},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4738607406616211},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46601182222366333},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4615367352962494},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4561973214149475},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44301438331604004},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44152602553367615},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.43507111072540283},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4234519898891449},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38124364614486694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3594539761543274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12765222787857056},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09679713845252991},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2022.3173062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3173062","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.05141","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.05141","pdf_url":"https://arxiv.org/pdf/2007.05141","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.05141","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.05141","pdf_url":"https://arxiv.org/pdf/2007.05141","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7347353647","display_name":null,"funder_award_id":"61922068","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1616857247","https://openalex.org/W1627780903","https://openalex.org/W1994860969","https://openalex.org/W2044212084","https://openalex.org/W2063403497","https://openalex.org/W2074796812","https://openalex.org/W2114791779","https://openalex.org/W2123705108","https://openalex.org/W2129122308","https://openalex.org/W2148087609","https://openalex.org/W2153686064","https://openalex.org/W2169713291","https://openalex.org/W2180180824","https://openalex.org/W2243169878","https://openalex.org/W2291434103","https://openalex.org/W2328649617","https://openalex.org/W2400034325","https://openalex.org/W2535496140","https://openalex.org/W2591577911","https://openalex.org/W2603533168","https://openalex.org/W2607045744","https://openalex.org/W2617089797","https://openalex.org/W2760049195","https://openalex.org/W2763533254","https://openalex.org/W2782375002","https://openalex.org/W2804448324","https://openalex.org/W2807548807","https://openalex.org/W2811008754","https://openalex.org/W2946038967","https://openalex.org/W2962771678","https://openalex.org/W2962989062","https://openalex.org/W2963133220","https://openalex.org/W2963649943","https://openalex.org/W2963732316","https://openalex.org/W2964191394","https://openalex.org/W2967933985","https://openalex.org/W2981997368","https://openalex.org/W2998882145","https://openalex.org/W3003430042","https://openalex.org/W3016897523","https://openalex.org/W3081144209","https://openalex.org/W3100513551","https://openalex.org/W3101665129","https://openalex.org/W3102661755","https://openalex.org/W3104871901","https://openalex.org/W3122323444","https://openalex.org/W3124678630","https://openalex.org/W3126592366","https://openalex.org/W4301435544","https://openalex.org/W4377938787","https://openalex.org/W6718132984","https://openalex.org/W6751449286","https://openalex.org/W6752422486","https://openalex.org/W6764194201","https://openalex.org/W6769630208"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W4296478327","https://openalex.org/W1960072520","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W2912837894","https://openalex.org/W4384341135","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"In":[0,43,116],"this":[1],"article,":[2],"we":[3,120],"study":[4],"decentralized":[5,36],"convex":[6,92],"constrained":[7],"optimization":[8],"problems":[9],"in":[10,26,238],"networks.":[11],"We":[12,76,211],"focus":[13],"on":[14,154,163,226],"the":[15,44,69,80,117,122,127,148,158,173,202,208,214,217,227,230,247,250],"dual":[16,37,71],"averaging-based":[17],"algorithmic":[18,218],"framework":[19],"that":[20,79,213],"is":[21,53,160,185],"well-documented":[22],"to":[23,104,113,125,132,187,220,236,245],"be":[24],"superior":[25],"handling":[27],"constraints":[28],"and":[29,93],"complex":[30],"communication":[31],"environments":[32],"simultaneously.":[33],"Two":[34],"new":[35],"averaging":[38],"(DDA)":[39],"algorithms":[40],"are":[41,141,170,243],"proposed.":[42],"first":[45],"one,":[46,119],"a":[47,63],"second-order":[48],"dynamic":[49],"average":[50],"consensus":[51,153],"protocol":[52],"tailored":[54],"for":[55,90,96,216],"DDA-type":[56],"algorithms,":[57,135],"which":[58,97,169],"equips":[59],"each":[60,146],"agent":[61],"with":[62],"provably":[64],"more":[65],"accurate":[66],"estimate":[67],"of":[68,129,166,175,207,229,249],"global":[70],"variable":[72],"than":[73],"conventional":[74],"schemes.":[75],"rigorously":[77],"prove":[78],"proposed":[81,149,251],"algorithm":[82,150,184],"attains":[83],"<inline-formula":[84,107,190,197],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[85,108,191,198],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[86,109,192,199],"notation=\"LaTeX\">$\\mathcal":[87,110,193],"{O}(1/t)$</tex-math></inline-formula>":[88],"convergence":[89,128,222],"general":[91],"smooth":[94],"problems,":[95],"existing":[98,133],"DDA":[99],"methods":[100],"were":[101],"only":[102,151],"known":[103],"converge":[105,188],"at":[106,145,177,189],"{O}(1/\\sqrt{t})$</tex-math></inline-formula>":[111],"prior":[112],"our":[114],"work.":[115],"second":[118,203],"use":[121],"extrapolation":[123,159],"technique":[124],"accelerate":[126],"DDA.":[130],"Compared":[131],"accelerated":[134],"where":[136,196],"typically":[137],"two":[138,164,178],"different":[139],"variables":[140],"exchanged":[142],"among":[143],"agents":[144],"time,":[147],"seeks":[152],"local":[155],"gradients.":[156],"Then,":[157],"performed":[161],"based":[162],"sequences":[165],"primal":[167],"variables,":[168],"determined":[171],"by":[172],"accumulations":[174],"gradients":[176],"consecutive":[179],"time":[180],"instants,":[181],"respectively.":[182],"The":[183],"proved":[186],"{O}(1)\\left(\\frac{1}{t^{2}}+\\frac{1}{t(1-\\beta)^{2}}\\right)$</tex-math></inline-formula>":[194],",":[195],"notation=\"LaTeX\">$\\beta$</tex-math></inline-formula>":[200],"denotes":[201],"largest":[204],"singular":[205],"value":[206],"mixing":[209,231],"matrix.":[210],"remark":[212],"condition":[215],"parameter":[219],"guarantee":[221],"does":[223],"not":[224],"rely":[225],"spectrum":[228],"matrix,":[232],"making":[233],"itself":[234],"easy":[235],"satisfy":[237],"practice.":[239],"Finally,":[240],"numerical":[241],"results":[242],"presented":[244],"demonstrate":[246],"efficiency":[248],"methods.":[252]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2022-07-14T00:00:00"}