{"id":"https://openalex.org/W2907088692","doi":"https://doi.org/10.1109/icarcv.2018.8581380","title":"An Approximately-Zero-Gradient-Sum Algorithm for Consensus Optimization","display_name":"An Approximately-Zero-Gradient-Sum Algorithm for Consensus Optimization","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2907088692","doi":"https://doi.org/10.1109/icarcv.2018.8581380","mag":"2907088692"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2018.8581380","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2018.8581380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-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/A5073082230","display_name":"Hejie Wei","orcid":"https://orcid.org/0000-0002-5053-361X"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hejie Wei","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020083667","display_name":"Zhihai Qu","orcid":"https://orcid.org/0000-0003-4996-4583"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihai Qu","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080886629","display_name":"Xuyang Wu","orcid":"https://orcid.org/0000-0001-7409-9611"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuyang Wu","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014860637","display_name":"Hao Wang","orcid":"https://orcid.org/0000-0002-9613-6169"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Wang","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100675573","display_name":"Jie Lu","orcid":"https://orcid.org/0000-0002-4362-6543"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Lu","raw_affiliation_strings":["School of Information Science and Technology, ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I30809798"],"apc_list":null,"apc_paid":null,"fwci":0.3953,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6818455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"826","last_page":"830"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9954000115394592,"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":0.9839000105857849,"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/hessian-matrix","display_name":"Hessian matrix","score":0.8178468346595764},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6822198629379272},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5639617443084717},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5543698668479919},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5474697351455688},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5315698385238647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4738234281539917},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4657358229160309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4520832896232605},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.42658936977386475},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.4211955964565277},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4092000722885132},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33620333671569824}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8178468346595764},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6822198629379272},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5639617443084717},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5543698668479919},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5474697351455688},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5315698385238647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4738234281539917},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4657358229160309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4520832896232605},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.42658936977386475},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.4211955964565277},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4092000722885132},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33620333671569824},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2018.8581380","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2018.8581380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W2012812921","https://openalex.org/W2022948311","https://openalex.org/W2044212084","https://openalex.org/W2049659086","https://openalex.org/W2094336028","https://openalex.org/W2117412539","https://openalex.org/W2137435346","https://openalex.org/W2148087609","https://openalex.org/W2251632681","https://openalex.org/W2345689776","https://openalex.org/W2400034325","https://openalex.org/W2536620281","https://openalex.org/W2537046506","https://openalex.org/W2571423792","https://openalex.org/W2811008754","https://openalex.org/W2963172825","https://openalex.org/W2964183442","https://openalex.org/W3100513551","https://openalex.org/W3101665129","https://openalex.org/W6712736418"],"related_works":["https://openalex.org/W2916278477","https://openalex.org/W2804400349","https://openalex.org/W4297153560","https://openalex.org/W4387635768","https://openalex.org/W2964186284","https://openalex.org/W2058485202","https://openalex.org/W3208916810","https://openalex.org/W4224283687","https://openalex.org/W4287828482","https://openalex.org/W4292651679"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,83],"set":[4],"of":[5,38,45,53,100],"distributed":[6],"second-order":[7,20],"methods":[8],"for":[9],"addressing":[10],"unconstrained,":[11],"smooth":[12],"convex":[13],"optimization":[14],"over":[15],"fixed":[16],"networks.":[17],"The":[18],"proposed":[19],"methods,":[21],"referred":[22],"to":[23,31,61,80,90],"as":[24],"Approximately-Zero-Gradient-Sum":[25],"(AZGS)":[26],"algorithms,":[27,71],"allow":[28],"each":[29,64],"node":[30],"update":[32],"by":[33],"combining":[34],"the":[35,43,50,54,69,78,91,98,101],"Hessian":[36],"inverse":[37],"its":[39,46],"local":[40,55],"objective":[41],"and":[42],"estimates":[44],"neighbors,":[47],"so":[48],"that":[49,68,85],"gradient":[51],"sum":[52],"objectives":[56],"can":[57,86],"be":[58,87],"sufficiently":[59],"close":[60,89],"zero":[62],"at":[63],"iteration.":[65],"We":[66],"show":[67],"AZGS":[70,102],"with":[72],"properly":[73],"selected":[74],"parameters,":[75],"enable":[76],"all":[77],"nodes":[79],"asymptotically":[81],"reach":[82],"consensus":[84],"arbitrarily":[88],"optimal":[92],"solution.":[93],"Finally,":[94],"simulation":[95],"results":[96],"demonstrate":[97],"effectiveness":[99],"algorithms.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}