{"id":"https://openalex.org/W4406207254","doi":"https://doi.org/10.1109/tac.2025.3527737","title":"A Variance-Reduced Aggregation Based Gradient Tracking Method for Distributed Optimization Over Directed Networks","display_name":"A Variance-Reduced Aggregation Based Gradient Tracking Method for Distributed Optimization Over Directed Networks","publication_year":2025,"publication_date":"2025-01-09","ids":{"openalex":"https://openalex.org/W4406207254","doi":"https://doi.org/10.1109/tac.2025.3527737"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3527737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3527737","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/A5003423136","display_name":"Shengchao Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengchao Zhao","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112015173","display_name":"Siyuan Song","orcid":"https://orcid.org/0009-0001-7607-794X"},"institutions":[{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyuan Song","raw_affiliation_strings":["School of Science and Engineering, Chinese University of Hong Kong, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100617985","display_name":"Yongchao Liu","orcid":"https://orcid.org/0000-0001-9955-4414"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongchao Liu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003423136"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":2.8322,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8888579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"70","issue":"6","first_page":"4109","last_page":"4115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9753000140190125,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9753000140190125,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9474999904632568,"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/computer-science","display_name":"Computer science","score":0.609867513179779},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5901009440422058},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.501124382019043},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40281808376312256},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34371358156204224},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34369808435440063},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2591162919998169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24351397156715393}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.609867513179779},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5901009440422058},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.501124382019043},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40281808376312256},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34371358156204224},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34369808435440063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2591162919998169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24351397156715393},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3527737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3527737","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/G2382835031","display_name":null,"funder_award_id":"#12401418","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6894761755","display_name":null,"funder_award_id":"#12471283","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6977010844","display_name":null,"funder_award_id":"DUT24LK001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"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":35,"referenced_works":["https://openalex.org/W2024175297","https://openalex.org/W2044212084","https://openalex.org/W2046387702","https://openalex.org/W2066332749","https://openalex.org/W2075677880","https://openalex.org/W2083657634","https://openalex.org/W2117412539","https://openalex.org/W2142184324","https://openalex.org/W2155723880","https://openalex.org/W2162594647","https://openalex.org/W2164278908","https://openalex.org/W2291434103","https://openalex.org/W2581954717","https://openalex.org/W2763533254","https://openalex.org/W2773221161","https://openalex.org/W2792751837","https://openalex.org/W2808584793","https://openalex.org/W2962989062","https://openalex.org/W2963550797","https://openalex.org/W2963649943","https://openalex.org/W2965142130","https://openalex.org/W3048431985","https://openalex.org/W3096577336","https://openalex.org/W3119622507","https://openalex.org/W3128503924","https://openalex.org/W3173018902","https://openalex.org/W4312919720","https://openalex.org/W4362654259","https://openalex.org/W4372037445","https://openalex.org/W4390660282","https://openalex.org/W6758557334","https://openalex.org/W6763249885","https://openalex.org/W6797196285","https://openalex.org/W6803929035","https://openalex.org/W6855959599"],"related_works":["https://openalex.org/W2084086966","https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2023861399","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,15,36,42,54,59,65,74,98,104,110,120,125,131,138,143,147,158,183,186],"distributed":[4],"optimization":[5],"problem":[6],"over":[7,19],"directed":[8,20],"networks":[9],"with":[10,58],"noisy":[11],"information-sharing.":[12],"To":[13],"resolve":[14],"imperfect":[16],"communication":[17],"issue":[18],"networks,":[21],"a":[22,70,79],"series":[23],"of":[24,27,38,73,82,150,185],"noise-robust":[25],"variants":[26],"Push-Pull/AB":[28],"method":[29,40,76,122,145],"have":[30],"been":[31],"developed.":[32],"These":[33],"methods":[34],"improve":[35],"robustness":[37],"Push-Pull":[39,75],"against":[41],"information-sharing":[43],"noise":[44,112,140],"through":[45],"adding":[46],"small":[47],"factors":[48],"on":[49,64,97,175],"weight":[50],"matrices":[51],"and":[52,101,109,137,178],"replacing":[53],"global":[55],"gradient":[56,61],"tracking":[57],"cumulative":[60],"tracking.":[62],"Based":[63],"two":[66],"techniques,":[67],"we":[68],"propose":[69],"new":[71],"variant":[72],"by":[77],"presenting":[78],"novel":[80],"mechanism":[81],"inter-agent":[83],"information":[84],"aggregation,":[85],"named":[86],"variance-reduced":[87],"aggregation":[88],"(VRA).":[89],"VRA":[90],"helps":[91],"us":[92],"to":[93,124,170],"release":[94],"some":[95],"conditions":[96],"objective":[99,105,132],"function":[100,106,133],"networks.":[102],"When":[103,130],"is":[107,113,134,141],"convex":[108,136],"sharing-information":[111,139],"variance-unbounded,":[114],"it":[115],"can":[116],"be":[117,168],"shown":[118],"that":[119],"proposed":[121,144,187],"converges":[123],"optimal":[126],"solution":[127],"almost":[128],"surely.":[129],"strongly":[135],"variance-bounded,":[142],"achieves":[146],"convergence":[148],"rate":[149],"<inline-formula":[151,163],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[152,164],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[153,165],"notation=\"LaTeX\">$\\mathcal":[154],"{O}(k^{-1+\\epsilon":[155],"})$</tex-math></inline-formula>":[156],"in":[157],"mean":[159],"square":[160],"sense,":[161],"where":[162],"notation=\"LaTeX\">$\\epsilon$</tex-math></inline-formula>":[166],"could":[167],"close":[169],"0":[171],"infinitely.":[172],"Simulated":[173],"experiments":[174],"ridge":[176],"regression":[177,180],"logistic":[179],"problems":[181],"verify":[182],"effectiveness":[184],"method.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}