{"id":"https://openalex.org/W4226115132","doi":"https://doi.org/10.1109/tac.2022.3160684","title":"A Family of Distributed Momentum Methods Over Directed Graphs With Linear Convergence","display_name":"A Family of Distributed Momentum Methods Over Directed Graphs With Linear Convergence","publication_year":2022,"publication_date":"2022-03-19","ids":{"openalex":"https://openalex.org/W4226115132","doi":"https://doi.org/10.1109/tac.2022.3160684"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3160684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3160684","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/A5101403760","display_name":"Juan Gao","orcid":"https://orcid.org/0000-0002-5230-2698"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Gao","raw_affiliation_strings":["School of Artificial Intelligence, Hebei University of Technology, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-5230-2698","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100461515","display_name":"Xinwei Liu","orcid":"https://orcid.org/0000-0002-9829-3395"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinwei Liu","raw_affiliation_strings":["Institute of Mathematics, Hebei University of Technology, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-9829-3395","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109187979","display_name":"Yu\u2010Hong Dai","orcid":"https://orcid.org/0000-0002-6932-9512"},"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":"Yu-Hong Dai","raw_affiliation_strings":["LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6932-9512","affiliations":[{"raw_affiliation_string":"LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057587509","display_name":"Yakui Huang","orcid":"https://orcid.org/0000-0001-6149-3222"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yakui Huang","raw_affiliation_strings":["Institute of Mathematics, Hebei University of Technology, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-6149-3222","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036100285","display_name":"Peng Yang","orcid":"https://orcid.org/0000-0002-1129-8485"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Yang","raw_affiliation_strings":["State Key Laboratory of Reliability and Intelligence of Electrical Equipment and with the School of Artificial Intelligence, Hebei University of Technology, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-1129-8485","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment and with the School of Artificial Intelligence, Hebei University of Technology, Tianjin, China","institution_ids":["https://openalex.org/I184843921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2066,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88996943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"68","issue":"2","first_page":"1085","last_page":"1092"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9962999820709229,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9948999881744385,"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/notation","display_name":"Notation","score":0.6183157563209534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5365894436836243},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4778042435646057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4210261106491089},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38627657294273376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3832780718803406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.371348112821579},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10156098008155823}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6183157563209534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5365894436836243},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4778042435646057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4210261106491089},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38627657294273376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3832780718803406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.371348112821579},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10156098008155823},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3160684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3160684","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/G3553588891","display_name":null,"funder_award_id":"12021001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3907981520","display_name":null,"funder_award_id":"11991021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6717093006","display_name":"\u5feb\u901f\u63a2\u6d4b\u6a21\u578b\u4e0d\u53ef\u884c\u6027\u7684\u975e\u7ebf\u6027\u89c4\u5212\u7b97\u6cd5\u7684\u7406\u8bba\u4e0e\u5e94\u7528\u7814\u7a76","funder_award_id":"11671116","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7009817178","display_name":null,"funder_award_id":"91630202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7538854081","display_name":null,"funder_award_id":"11701137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7777550856","display_name":"\u5927\u89c4\u6a21\u7ea6\u675f\u4f18\u5316\u539f\u59cb\u5bf9\u5076\u5185\u70b9\u677e\u5f1b\u65b9\u6cd5\u7684\u7406\u8bba\u4e0e\u5e94\u7528\u7814\u7a76","funder_award_id":"12071108","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":54,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1616857247","https://openalex.org/W2044212084","https://openalex.org/W2110100895","https://openalex.org/W2117412539","https://openalex.org/W2124541940","https://openalex.org/W2129122308","https://openalex.org/W2137435346","https://openalex.org/W2137731592","https://openalex.org/W2153635508","https://openalex.org/W2223126829","https://openalex.org/W2276974598","https://openalex.org/W2291434103","https://openalex.org/W2337540838","https://openalex.org/W2342998214","https://openalex.org/W2476071355","https://openalex.org/W2552178850","https://openalex.org/W2590635385","https://openalex.org/W2617089797","https://openalex.org/W2763533254","https://openalex.org/W2765203333","https://openalex.org/W2792751837","https://openalex.org/W2794887289","https://openalex.org/W2808402975","https://openalex.org/W2911283328","https://openalex.org/W2936995161","https://openalex.org/W2949934631","https://openalex.org/W2962970367","https://openalex.org/W2963649943","https://openalex.org/W2963724567","https://openalex.org/W2964103300","https://openalex.org/W2973303672","https://openalex.org/W2999668538","https://openalex.org/W3006548771","https://openalex.org/W3011020921","https://openalex.org/W3081144209","https://openalex.org/W3099715789","https://openalex.org/W3099763052","https://openalex.org/W3100513551","https://openalex.org/W3102661755","https://openalex.org/W3104398353","https://openalex.org/W3104539924","https://openalex.org/W3104851238","https://openalex.org/W3105600443","https://openalex.org/W3105632507","https://openalex.org/W3123607434","https://openalex.org/W3141595720","https://openalex.org/W4206604927","https://openalex.org/W4229706427","https://openalex.org/W4297751445","https://openalex.org/W6634994365","https://openalex.org/W6703265075","https://openalex.org/W6761030284","https://openalex.org/W6762930437"],"related_works":["https://openalex.org/W2963177394","https://openalex.org/W2024638892","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W1965815883","https://openalex.org/W149041114","https://openalex.org/W4313359513","https://openalex.org/W322408318","https://openalex.org/W4298135613","https://openalex.org/W1583261078"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,56,63,75,79,95,148],"distributed":[3,30,37,51,57,64,150],"optimization":[4],"to":[5,49,94],"minimize":[6],"a":[7,27,35,99],"sum":[8],"of":[9,29,45,105],"smooth":[10],"and":[11,22,62,78],"strongly":[12],"convex":[13],"local":[14],"objective":[15],"functions":[16],"over":[17],"directed":[18],"graphs.":[19],"Using":[20],"row-":[21],"column-stochastic":[23],"weights,":[24],"we":[25,88],"propose":[26],"family":[28],"momentum":[31,38,52,80,151],"methods.":[32,53],"It":[33],"is":[34],"parametric":[36],"(PDM)":[39],"method,":[40],"for":[41],"which":[42,119],"different":[43,50],"values":[44],"parameter":[46,141],"can":[47,92,143],"lead":[48],"PDM":[54,91,106,136],"includes":[55],"heavy-ball":[58],"method":[59,67],"($\\mathcal":[60,68],"{AB}m$)":[61],"Nesterov":[65],"gradient":[66],"{ABN}$)":[69],"as":[70],"its":[71],"special":[72],"cases.":[73],"When":[74],"step":[76],"sizes":[77],"coefficient":[81],"do":[82],"not":[83,107],"exceed":[84],"some":[85],"upper":[86],"bounds,":[87],"prove":[89],"that":[90,110,116,129,135],"converge":[93],"optimal":[96],"solution":[97],"at":[98],"global$R$-linear":[100],"rate.":[101],"The":[102],"convergence":[103,122],"result":[104],"only":[108],"covers":[109],"of$\\mathcal":[111,117],"{AB}m$,":[112],"but":[113],"also":[114],"supplements":[115],"{ABN}$,":[118],"lacks":[120],"theoretical":[121],"result.":[123],"Simulation":[124],"results":[125],"on":[126],"classification":[127],"problems":[128],"arise":[130],"in":[131],"machine":[132],"learning":[133],"show":[134],"with":[137],"an":[138],"appropriate":[139],"negative":[140],"value":[142],"achieve":[144],"faster":[145],"acceleration":[146],"than":[147],"existing":[149],"algorithms.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
