{"id":"https://openalex.org/W4285223814","doi":"https://doi.org/10.1109/tac.2022.3185178","title":"Linear Convergence of ADMM Under Metric Subregularity for Distributed Optimization","display_name":"Linear Convergence of ADMM Under Metric Subregularity for Distributed Optimization","publication_year":2022,"publication_date":"2022-06-21","ids":{"openalex":"https://openalex.org/W4285223814","doi":"https://doi.org/10.1109/tac.2022.3185178"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3185178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3185178","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":null,"display_name":"Xiaowei Pan","orcid":"https://orcid.org/0000-0001-7113-4493"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowei Pan","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-7113-4493","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019147450","display_name":"Zhongxin Liu","orcid":"https://orcid.org/0000-0002-3565-4800"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongxin Liu","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-3565-4800","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073105796","display_name":"Zengqiang Chen","orcid":"https://orcid.org/0000-0002-1415-4073"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengqiang Chen","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-1415-4073","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":0.683,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68806226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"68","issue":"4","first_page":"2513","last_page":"2520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9983999729156494,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9983999729156494,"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":0.9959999918937683,"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":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.85942542552948},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6837581396102905},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6827311515808105},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6717181205749512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.604404866695404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5763407945632935},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5763051509857178},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5403400659561157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27091628313064575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21817639470100403}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.85942542552948},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6837581396102905},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6827311515808105},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6717181205749512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.604404866695404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5763407945632935},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5763051509857178},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5403400659561157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27091628313064575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21817639470100403},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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},{"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3185178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3185178","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/G6033413095","display_name":null,"funder_award_id":"61973175","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1160395089","https://openalex.org/W1235853611","https://openalex.org/W1553365534","https://openalex.org/W1946620893","https://openalex.org/W1982545958","https://openalex.org/W1986080131","https://openalex.org/W1990935327","https://openalex.org/W2006602349","https://openalex.org/W2037078111","https://openalex.org/W2044212084","https://openalex.org/W2053745833","https://openalex.org/W2063403497","https://openalex.org/W2087164501","https://openalex.org/W2114791779","https://openalex.org/W2117412539","https://openalex.org/W2123705108","https://openalex.org/W2125390510","https://openalex.org/W2129122308","https://openalex.org/W2130758224","https://openalex.org/W2137435346","https://openalex.org/W2148087609","https://openalex.org/W2154431891","https://openalex.org/W2154834860","https://openalex.org/W2216134724","https://openalex.org/W2291434103","https://openalex.org/W2476071355","https://openalex.org/W2533581970","https://openalex.org/W2537046506","https://openalex.org/W2617089797","https://openalex.org/W2731574071","https://openalex.org/W2763533254","https://openalex.org/W2884051787","https://openalex.org/W2962782955","https://openalex.org/W2962796314","https://openalex.org/W2963649943","https://openalex.org/W2964017936","https://openalex.org/W2964272359","https://openalex.org/W2967933985","https://openalex.org/W2973303672","https://openalex.org/W3038675262","https://openalex.org/W3100513551","https://openalex.org/W3102661755","https://openalex.org/W3104851238","https://openalex.org/W3106417786","https://openalex.org/W4244393449","https://openalex.org/W4249667877","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W4300028551","https://openalex.org/W6780180766"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W2187391117","https://openalex.org/W4327738859","https://openalex.org/W1981809986","https://openalex.org/W1843467136","https://openalex.org/W2949367465","https://openalex.org/W4235203617","https://openalex.org/W2006359264","https://openalex.org/W3029201158","https://openalex.org/W1996226968"],"abstract_inverted_index":{"The":[0],"alternating":[1],"direction":[2],"method":[3],"of":[4,20,118],"multipliers":[5],"(ADMM)":[6],"has":[7],"seen":[8],"much":[9],"progress":[10],"in":[11,14,92],"the":[12,42,85,116,119],"literature":[13],"recent":[15],"years.":[16],"Usually,":[17],"linear":[18,56],"convergence":[19,57,98],"distributed":[21,51],"ADMM":[22,52],"is":[23,38,48,69],"proved":[24,70],"under":[25,81,106],"either":[26],"second-order":[27,73],"conditions":[28,34,74],"or":[29],"strong":[30,76],"convexity.":[31],"When":[32],"both":[33,72],"fail,":[35],"an":[36],"alternative":[37],"expected":[39],"to":[40,114],"play":[41],"role.":[43],"In":[44,95],"this":[45],"article,":[46],"it":[47,68],"shown":[49],"that":[50,71],"can":[53],"achieve":[54],"a":[55,64,93],"rate":[58],"by":[59],"imposing":[60],"metric":[61,79],"subregularity":[62,80],"on":[63],"defined":[65],"mapping.":[66],"Furthermore,":[67],"and":[75],"convexity":[77],"imply":[78],"reasonable":[82],"conditions,":[83],"e.g.,":[84],"cost":[86],"functions":[87],"being":[88],"twice":[89],"continuously":[90],"differentiable":[91],"neighborhood.":[94],"addition,":[96],"nonergodic":[97],"rates":[99],"are":[100,111],"presented":[101],"as":[102],"well":[103],"for":[104],"problems":[105],"consideration.":[107],"Finally,":[108],"simulation":[109],"results":[110],"carried":[112],"out":[113],"illustrate":[115],"efficiency":[117],"proposed":[120],"algorithm.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}