{"id":"https://openalex.org/W4404178557","doi":"https://doi.org/10.1109/tac.2024.3492329","title":"An Improved Distributed Nesterov Gradient Tracking Algorithm for Smooth Convex Optimization Over Directed Networks","display_name":"An Improved Distributed Nesterov Gradient Tracking Algorithm for Smooth Convex Optimization Over Directed Networks","publication_year":2024,"publication_date":"2024-11-08","ids":{"openalex":"https://openalex.org/W4404178557","doi":"https://doi.org/10.1109/tac.2024.3492329"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3492329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3492329","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/A5104100494","display_name":"Yifu Lin","orcid":"https://orcid.org/0000-0002-0922-2641"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yifu Lin","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073580810","display_name":"Wenling Li","orcid":"https://orcid.org/0000-0002-9130-5736"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenling Li","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bin Zhang","orcid":"https://orcid.org/0000-0002-1971-3209"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Zhang","raw_affiliation_strings":["School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100663187","display_name":"Junping Du","orcid":"https://orcid.org/0000-0001-8590-3767"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junping Du","raw_affiliation_strings":["School of Computer Science, Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5104100494"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.6868,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73167578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"70","issue":"4","first_page":"2738","last_page":"2745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9887999892234802,"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":0.9887999892234802,"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":0.9765999913215637,"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":0.9509000182151794,"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/convex-optimization","display_name":"Convex optimization","score":0.5924004316329956},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.5493424534797668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.539848268032074},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49513116478919983},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.429651141166687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4233567714691162},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4179787039756775},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3872462511062622},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3292950391769409}],"concepts":[{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5924004316329956},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.5493424534797668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.539848268032074},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49513116478919983},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.429651141166687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4233567714691162},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4179787039756775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3872462511062622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3292950391769409},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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},{"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.2024.3492329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3492329","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/G1108969597","display_name":null,"funder_award_id":"62192784","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1520374204","display_name":null,"funder_award_id":"U22B2038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5780222364","display_name":null,"funder_award_id":"62376015","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W2044212084","https://openalex.org/W2137435346","https://openalex.org/W2291434103","https://openalex.org/W2400034325","https://openalex.org/W2476071355","https://openalex.org/W2617089797","https://openalex.org/W2794887289","https://openalex.org/W2888258418","https://openalex.org/W2889141596","https://openalex.org/W2901838001","https://openalex.org/W2911283328","https://openalex.org/W2963649943","https://openalex.org/W2963716950","https://openalex.org/W2963724567","https://openalex.org/W2973303672","https://openalex.org/W2998882145","https://openalex.org/W2999668538","https://openalex.org/W3006548771","https://openalex.org/W3038991971","https://openalex.org/W3045691817","https://openalex.org/W3088106497","https://openalex.org/W3092460168","https://openalex.org/W3097497066","https://openalex.org/W3128935993","https://openalex.org/W3189887242","https://openalex.org/W4241368925","https://openalex.org/W4281701172","https://openalex.org/W4385984415","https://openalex.org/W6769630208"],"related_works":["https://openalex.org/W2916278477","https://openalex.org/W3153752017","https://openalex.org/W2804400349","https://openalex.org/W4297153560","https://openalex.org/W4387635768","https://openalex.org/W2964186284","https://openalex.org/W2058485202","https://openalex.org/W4246345140","https://openalex.org/W3208916810","https://openalex.org/W2985979428"],"abstract_inverted_index":{"This":[0],"article":[1],"explores":[2],"the":[3,35,45,49,56,62,66,70,73,77,105,114],"problem":[4],"of":[5,44,51,72,79,107,113],"distributed":[6,25],"optimization":[7],"for":[8],"functions":[9],"that":[10,88,104,112],"are":[11],"smooth":[12],"and":[13,38,84],"nonstrongly":[14],"convex":[15],"over":[16],"directed":[17,80],"networks.":[18],"To":[19],"address":[20],"this":[21],"issue,":[22],"an":[23],"improved":[24],"Nesterov":[26,116],"gradient":[27,57,117],"tracking":[28,58],"(IDNGT)":[29],"algorithm":[30,47],"is":[31,48,82,86,109],"proposed,":[32],"which":[33],"utilizes":[34],"adapt-then-combine":[36],"rule":[37],"row-stochastic":[39],"weights.":[40],"A":[41],"main":[42],"novelty":[43],"proposed":[46],"introduction":[50],"a":[52,89,97],"scale":[53],"factor":[54],"into":[55],"scheme":[59],"to":[60,76,111],"suppress":[61],"consensus":[63],"error.":[64],"By":[65],"estimate":[67],"sequence":[68],"approach,":[69],"dynamics":[71],"error":[74],"due":[75],"unbalance":[78],"networks":[81],"analyzed":[83],"it":[85],"shown":[87],"sublinear":[90],"convergence":[91],"rate":[92],"can":[93],"be":[94],"achieved":[95],"with":[96],"vanishing":[98],"step":[99],"size.":[100],"Numerical":[101],"results":[102],"suggest":[103],"performance":[106],"IDNGT":[108],"comparable":[110],"centralized":[115],"descent":[118],"algorithm.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
