{"id":"https://openalex.org/W3016889113","doi":"https://doi.org/10.1109/tac.2020.2987379","title":"Distributed Mirror Descent for Online Composite Optimization","display_name":"Distributed Mirror Descent for Online Composite Optimization","publication_year":2020,"publication_date":"2020-04-17","ids":{"openalex":"https://openalex.org/W3016889113","doi":"https://doi.org/10.1109/tac.2020.2987379","mag":"3016889113"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.2987379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2987379","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":["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/A5089134067","display_name":"Deming Yuan","orcid":"https://orcid.org/0000-0003-4371-5105"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deming Yuan","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-4371-5105","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100359415","display_name":"Yiguang Hong","orcid":"https://orcid.org/0000-0001-9505-8739"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiguang Hong","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9505-8739","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084476585","display_name":"Daniel W. C. Ho","orcid":"https://orcid.org/0000-0001-9799-3712"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Daniel W. C. Ho","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0001-9799-3712","affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-3015-0662","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.5731,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.97525226,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"66","issue":"2","first_page":"714","last_page":"729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9973000288009644,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.6647785902023315},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5632479786872864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5548304319381714},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5489018559455872},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5456583499908447},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5178516507148743},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.4862910211086273},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4754071831703186},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4741211235523224},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.457492470741272},{"id":"https://openalex.org/keywords/ranging","display_name":"Ranging","score":0.4404746890068054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43946707248687744},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4315853714942932},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4120539128780365},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.333825945854187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2951081097126007},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21049624681472778},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.17861005663871765},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12202003598213196},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.0970129668712616}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.6647785902023315},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5632479786872864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5548304319381714},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5489018559455872},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5456583499908447},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5178516507148743},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.4862910211086273},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4754071831703186},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4741211235523224},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.457492470741272},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.4404746890068054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43946707248687744},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4315853714942932},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4120539128780365},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.333825945854187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2951081097126007},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21049624681472778},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.17861005663871765},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12202003598213196},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0970129668712616},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.2987379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2987379","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3711196952","display_name":null,"funder_award_id":"30919011105","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4553865993","display_name":null,"funder_award_id":"61673215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5319174282","display_name":"\u57fa\u4e8e\u51b3\u7b56\u7684\u590d\u6742\u975e\u7ebf\u6027\u7cfb\u7edf\u63a7\u5236","funder_award_id":"61733018","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/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":44,"referenced_works":["https://openalex.org/W131378802","https://openalex.org/W153281708","https://openalex.org/W1540586255","https://openalex.org/W1604467579","https://openalex.org/W1627780903","https://openalex.org/W1686475922","https://openalex.org/W1730444845","https://openalex.org/W1982722567","https://openalex.org/W2004001705","https://openalex.org/W2022948311","https://openalex.org/W2066332749","https://openalex.org/W2096199223","https://openalex.org/W2107664305","https://openalex.org/W2114791779","https://openalex.org/W2114973703","https://openalex.org/W2129122308","https://openalex.org/W2136835582","https://openalex.org/W2148087609","https://openalex.org/W2148825261","https://openalex.org/W2149778463","https://openalex.org/W2151565294","https://openalex.org/W2155356457","https://openalex.org/W2162195727","https://openalex.org/W2243169878","https://openalex.org/W2517192452","https://openalex.org/W2520774372","https://openalex.org/W2521320587","https://openalex.org/W2539372614","https://openalex.org/W2562862721","https://openalex.org/W2569714389","https://openalex.org/W2588148443","https://openalex.org/W2963308146","https://openalex.org/W2963732316","https://openalex.org/W2964191394","https://openalex.org/W2964256184","https://openalex.org/W3017285694","https://openalex.org/W3101665129","https://openalex.org/W3106211621","https://openalex.org/W6605426635","https://openalex.org/W6606291809","https://openalex.org/W6637317476","https://openalex.org/W6638826736","https://openalex.org/W6651597697","https://openalex.org/W6681723013"],"related_works":["https://openalex.org/W2564742953","https://openalex.org/W4213299358","https://openalex.org/W3118381369","https://openalex.org/W3115340459","https://openalex.org/W2115336194","https://openalex.org/W4287392899","https://openalex.org/W2389652943","https://openalex.org/W2994763304","https://openalex.org/W2090152127","https://openalex.org/W4225595602"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"consider":[4,95],"an":[5,121],"online":[6,65,176],"distributed":[7,66,175],"composite":[8],"optimization":[9,67],"problem":[10,45,180],"over":[11,38],"a":[12,33,41,62,82,91,174],"time-varying":[13],"multiagent":[14],"network":[15],"that":[16,36,69,85,105,166],"consists":[17,29],"of":[18,26,30,64,125,132,143,146,155,167,173,187],"multiple":[19],"interacting":[20],"nodes,":[21],"where":[22],"the":[23,78,87,103,113,117,129,141,144,147,156,160,168,185,188],"objective":[24],"function":[25,35,84,149],"each":[27],"node":[28],"two":[31,96,151],"parts:":[32],"loss":[34,148],"changes":[37],"time":[39],"and":[40,109],"regularization":[42],"function.":[43],"This":[44],"naturally":[46],"arises":[47],"in":[48],"many":[49],"real-world":[50],"applications":[51],"ranging":[52],"from":[53],"wireless":[54],"sensor":[55],"networks":[56],"to":[57,183],"signal":[58],"processing.":[59],"We":[60,94],"propose":[61],"class":[63],"algorithms":[68],"are":[70,181],"based":[71],"on":[72],"approximate":[73],"mirror":[74],"descent,":[75],"which":[76,138],"utilizes":[77],"Bregman":[79],"divergence":[80],"as":[81,90,165],"distance-measuring":[83],"includes":[86],"Euclidean":[88],"distances":[89],"special":[92],"case.":[93],"standard":[97],"information":[98,142],"feedback":[99,108,115],"models":[100],"when":[101],"designing":[102],"algorithms,":[104],"is,":[106],"full-information":[107,114],"bandit":[110],"feedback.":[111],"For":[112],"model,":[116],"first":[118,169],"algorithm":[119],"attains":[120],"average":[122,162],"regularized":[123,163,177],"regret":[124,164],"order":[126],"O(1/\u221aT)":[127],"with":[128],"total":[130],"number":[131],"rounds":[133],"T.":[134],"The":[135],"second":[136],"algorithm,":[137],"only":[139],"requires":[140],"values":[145],"at":[150],"predicted":[152],"points":[153],"instead":[154],"gradient":[157],"information,":[158],"achieves":[159],"same":[161],"algorithm.":[170],"Simulation":[171],"results":[172],"linear":[178],"regression":[179],"provided":[182],"illustrate":[184],"performance":[186],"proposed":[189],"algorithms.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
