{"id":"https://openalex.org/W2890762553","doi":"https://doi.org/10.23919/acc.2019.8814838","title":"A Canonical Form for First-Order Distributed Optimization Algorithms","display_name":"A Canonical Form for First-Order Distributed Optimization Algorithms","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2890762553","doi":"https://doi.org/10.23919/acc.2019.8814838","mag":"2890762553"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8814838","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.08709","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100756533","display_name":"Akhil Sundararajan","orcid":"https://orcid.org/0000-0001-8824-6467"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Akhil Sundararajan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035128434","display_name":"Bryan Van Scoy","orcid":"https://orcid.org/0000-0002-8286-2311"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bryan Van Scoy","raw_affiliation_strings":["Wisconsin Institute for Discovery, the University of Wisconsin-Madison","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"Wisconsin Institute for Discovery, the University of Wisconsin-Madison","institution_ids":["https://openalex.org/I2802999273","https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016674253","display_name":"Laurent Lessard","orcid":"https://orcid.org/0000-0001-5389-9361"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Laurent Lessard","raw_affiliation_strings":["Wisconsin Institute for Discovery, the University of Wisconsin-Madison","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"Wisconsin Institute for Discovery, the University of Wisconsin-Madison","institution_ids":["https://openalex.org/I2802999273","https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100756533"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.3714,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62327213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4075","last_page":"4080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9980000257492065,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9970999956130981,"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/computation","display_name":"Computation","score":0.7563096284866333},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.6668272018432617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6280855536460876},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5485178232192993},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5148100256919861},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5128188729286194},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5099450349807739},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4785745441913605},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47370049357414246},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46210891008377075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3125138282775879},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.1893516480922699},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14787766337394714}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7563096284866333},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.6668272018432617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6280855536460876},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5485178232192993},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5148100256919861},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5128188729286194},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5099450349807739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4785745441913605},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47370049357414246},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46210891008377075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3125138282775879},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.1893516480922699},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14787766337394714},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/acc.2019.8814838","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1809.08709","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.08709","pdf_url":"https://arxiv.org/pdf/1809.08709","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2890762553","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1809.08709","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1809.08709","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1809.08709","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.08709","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.08709","pdf_url":"https://arxiv.org/pdf/1809.08709","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7975498805","display_name":null,"funder_award_id":"1656951","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2890762553.pdf","grobid_xml":"https://content.openalex.org/works/W2890762553.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W330173850","https://openalex.org/W1571416372","https://openalex.org/W1627780903","https://openalex.org/W2031993719","https://openalex.org/W2044212084","https://openalex.org/W2083887961","https://openalex.org/W2097460613","https://openalex.org/W2141648331","https://openalex.org/W2157192413","https://openalex.org/W2158643468","https://openalex.org/W2291434103","https://openalex.org/W2587943776","https://openalex.org/W2609549560","https://openalex.org/W2737743075","https://openalex.org/W2742134852","https://openalex.org/W2763533254","https://openalex.org/W2782375002","https://openalex.org/W2783742282","https://openalex.org/W2951224092","https://openalex.org/W2963023064","https://openalex.org/W2963649943","https://openalex.org/W2964102336","https://openalex.org/W2964165783","https://openalex.org/W2964345095","https://openalex.org/W2973303672","https://openalex.org/W3011252985","https://openalex.org/W3100513551","https://openalex.org/W6640345655","https://openalex.org/W6679384156"],"related_works":["https://openalex.org/W2285441159","https://openalex.org/W2963590077","https://openalex.org/W3045501510","https://openalex.org/W2795431490","https://openalex.org/W2299834723","https://openalex.org/W2569977969","https://openalex.org/W2947832959","https://openalex.org/W2763318334","https://openalex.org/W2951712854","https://openalex.org/W2567411603","https://openalex.org/W2950146244","https://openalex.org/W3116951433","https://openalex.org/W3203235566","https://openalex.org/W2792176849","https://openalex.org/W560911797","https://openalex.org/W3003720203","https://openalex.org/W2768060570","https://openalex.org/W2186258934","https://openalex.org/W2427862786","https://openalex.org/W2971208866"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,15,119],"distributed":[3,60,106,125],"optimization":[4,126],"problem":[5],"in":[6,108],"which":[7],"a":[8,53,67,91],"network":[9],"of":[10,17,35,70,94,114,124],"agents":[11,31],"aims":[12],"to":[13,44,83,103],"minimize":[14],"average":[16],"local":[18,39,45],"functions.":[19],"To":[20],"solve":[21],"this":[22,49,109],"problem,":[23],"several":[24],"algorithms":[25],"have":[26],"recently":[27],"been":[28],"proposed":[29],"where":[30,78],"perform":[32],"various":[33],"combinations":[34],"communication":[36,71],"with":[37],"neighbors,":[38],"gradient":[40,73],"computations,":[41],"and":[42,72,77,100,122],"updates":[43],"state":[46,85],"variables.":[47,86],"In":[48],"paper,":[50],"we":[51],"present":[52],"canonical":[54,88,116],"form":[55,89,117],"that":[56,62,96],"characterizes":[57],"any":[58,105],"first-order":[59],"algorithm":[61,107],"can":[63],"be":[64],"implemented":[65],"using":[66],"single":[68],"round":[69],"computation":[74],"per":[75],"iteration,":[76],"each":[79],"agent":[80],"stores":[81],"up":[82],"two":[84],"The":[87,111],"features":[90],"minimal":[92],"set":[93],"parameters":[95],"are":[97],"both":[98],"unique":[99],"expressive":[101],"enough":[102],"capture":[104],"class.":[110],"generic":[112],"nature":[113],"our":[115],"enables":[118],"systematic":[120],"analysis":[121],"design":[123],"algorithms.":[127]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}