{"id":"https://openalex.org/W3007193855","doi":"https://doi.org/10.1109/tsp.2021.3086579","title":"Distributed Algorithms for Composite Optimization: Unified Framework and Convergence Analysis","display_name":"Distributed Algorithms for Composite Optimization: Unified Framework and Convergence Analysis","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3007193855","doi":"https://doi.org/10.1109/tsp.2021.3086579","mag":"3007193855"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3086579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3086579","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.11534","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016660429","display_name":"Jinming Xu","orcid":"https://orcid.org/0000-0003-3250-963X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinming Xu","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101883909","display_name":"Ye Tian","orcid":"https://orcid.org/0000-0001-9085-6280"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ye Tian","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0001-9085-6280","affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100672752","display_name":"Ying Sun","orcid":"https://orcid.org/0000-0002-9709-6509"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Sun","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The Pennsylvania State University, State College, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9709-6509","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The Pennsylvania State University, State College, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041765559","display_name":"Gesualdo Scutari","orcid":"https://orcid.org/0000-0002-6453-6870"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gesualdo Scutari","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-6453-6870","affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, West-Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016660429"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":9.1273,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.98150902,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"69","issue":null,"first_page":"3555","last_page":"3570"},"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9958999752998352,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9952999949455261,"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":0.5783081650733948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5646928548812866},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46671029925346375},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.44151899218559265},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4077727794647217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3074989318847656}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5783081650733948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5646928548812866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46671029925346375},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.44151899218559265},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4077727794647217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3074989318847656},{"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/tsp.2021.3086579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3086579","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.11534","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.11534","pdf_url":"https://arxiv.org/pdf/2002.11534","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:2002.11534","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.11534","pdf_url":"https://arxiv.org/pdf/2002.11534","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/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2943154064","display_name":null,"funder_award_id":"62003302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G433333953","display_name":null,"funder_award_id":"61922058","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4915459137","display_name":null,"funder_award_id":"2020QNA5014","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5664334890","display_name":null,"funder_award_id":"1719205","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8022898299","display_name":null,"funder_award_id":"U1909207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1571416372","https://openalex.org/W1627780903","https://openalex.org/W1874232560","https://openalex.org/W2046387702","https://openalex.org/W2050170536","https://openalex.org/W2074796812","https://openalex.org/W2124541940","https://openalex.org/W2266148951","https://openalex.org/W2291434103","https://openalex.org/W2523259601","https://openalex.org/W2588081979","https://openalex.org/W2591577911","https://openalex.org/W2609549560","https://openalex.org/W2610857016","https://openalex.org/W2659643337","https://openalex.org/W2737743075","https://openalex.org/W2763533254","https://openalex.org/W2782375002","https://openalex.org/W2783742282","https://openalex.org/W2792176849","https://openalex.org/W2792751837","https://openalex.org/W2892002891","https://openalex.org/W2946319938","https://openalex.org/W2947802288","https://openalex.org/W2947882888","https://openalex.org/W2962796314","https://openalex.org/W2963649943","https://openalex.org/W2963724567","https://openalex.org/W2963992805","https://openalex.org/W2964165783","https://openalex.org/W2973163642","https://openalex.org/W2981997368","https://openalex.org/W2996872510","https://openalex.org/W3006548771","https://openalex.org/W3007193855","https://openalex.org/W3012243487","https://openalex.org/W3012352607","https://openalex.org/W3037225843","https://openalex.org/W3043309535","https://openalex.org/W3092262213","https://openalex.org/W3099715789","https://openalex.org/W3100513551","https://openalex.org/W3120210467","https://openalex.org/W3120740533","https://openalex.org/W3141595720","https://openalex.org/W4297837570","https://openalex.org/W6639227602","https://openalex.org/W6640396632","https://openalex.org/W6763299524","https://openalex.org/W6764194201","https://openalex.org/W6769630208","https://openalex.org/W6774362148","https://openalex.org/W6784132604","https://openalex.org/W6787945989","https://openalex.org/W6788247690"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,23],"study":[1],"distributed":[2,161],"composite":[3],"optimization":[4],"over":[5],"networks:":[6],"agents":[7],"minimize":[8],"a":[9,18,25,32,38,67,135,154],"sum":[10],"of":[11,34,44,49,56,102,112,129,139,150,172],"smooth":[12],"(strongly)":[13],"convex":[14,21,87],"functions-the":[15],"agents'":[16,74],"sum-utility-plus":[17],"nonsmooth":[19],"(extended-valued)":[20],"one.":[22],"propose":[24],"general":[26],"unified":[27],"algorithmic":[28],"framework":[29],"for":[30,99,157,169],"such":[31],"class":[33,171],"problems":[35,173],"and":[36,76,131,146],"provide":[37],"convergence":[39,117,167],"analysis":[40,152],"leveraging":[41],"the":[42,57,63,73,83,100,103,110,116,124,127,143,170],"theory":[43],"operator":[45],"splitting.":[46],"Distinguishing":[47],"features":[48],"our":[50,151],"scheme":[51],"are:":[52],"(i)":[53,96],"When":[54,82],"each":[55],"agent's":[58],"functions":[59,75],"is":[60,79,86,97,153],"strongly":[61,90],"convex,":[62],"algorithm":[64,121],"converges":[65],"at":[66],"linear":[68],"rate,":[69],"whose":[70],"dependence":[71],"on":[72,115,142],"network":[77,144],"topology":[78],"decoupled;":[80],"(ii)":[81],"objective":[84],"function":[85,113],"(but":[88],"not":[89],"convex),":[91],"similar":[92],"decoupling":[93],"as":[94],"in":[95],"established":[98],"coefficient":[101],"proved":[104],"sublinear":[105],"rate.":[106,118],"This":[107],"also":[108],"reveals":[109],"role":[111],"heterogeneity":[114],"(iii)":[119],"The":[120],"can":[122],"adjust":[123],"ratio":[125],"between":[126],"number":[128],"communications":[130],"computations":[132],"to":[133],"achieve":[134],"rate":[136,168],"(in":[137],"terms":[138],"computations)":[140],"independent":[141],"connectivity;":[145],"(iv)":[147],"A":[148],"by-product":[149],"tuning":[155],"recommendation":[156],"several":[158],"existing":[159],"(non-accelerated)":[160],"algorithms":[162],"yielding":[163],"provably":[164],"faster":[165],"(worst-case)":[166],"under":[174],"consideration.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
