{"id":"https://openalex.org/W3121052003","doi":"https://doi.org/10.1109/cdc42340.2020.9304470","title":"A decentralized algorithm for large scale min-max problems","display_name":"A decentralized algorithm for large scale min-max problems","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3121052003","doi":"https://doi.org/10.1109/cdc42340.2020.9304470","mag":"3121052003"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","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/A5052231787","display_name":"Soham Mukherjee","orcid":"https://orcid.org/0000-0003-0486-7763"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Soham Mukherjee","raw_affiliation_strings":["Indian Institute of Technology Kharagpur,Department of Electronics and Electrical Communication Engineering,Kharagpur,India,721302"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Kharagpur,Department of Electronics and Electrical Communication Engineering,Kharagpur,India,721302","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072872028","display_name":"Mrityunjoy Chakraborty","orcid":"https://orcid.org/0000-0003-4009-9554"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mrityunjoy Chakraborty","raw_affiliation_strings":["Indian Institute of Technology Kharagpur,Department of Electronics and Electrical Communication Engineering,Kharagpur,India,721302"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Kharagpur,Department of Electronics and Electrical Communication Engineering,Kharagpur,India,721302","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4586,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84158811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2967","last_page":"2972"},"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":0.9934999942779541,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7641499042510986},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6791645288467407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6438820362091064},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.6407017111778259},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6104668378829956},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5489670038223267},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5253647565841675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5167688131332397},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5096077919006348},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4994242191314697},{"id":"https://openalex.org/keywords/information-exchange","display_name":"Information exchange","score":0.47546666860580444},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4742794930934906},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.44922178983688354},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4271838963031769},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3340902328491211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28289371728897095},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.2127174437046051},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.12306895852088928},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06375357508659363}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7641499042510986},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6791645288467407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6438820362091064},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.6407017111778259},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6104668378829956},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5489670038223267},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5253647565841675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5167688131332397},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5096077919006348},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4994242191314697},{"id":"https://openalex.org/C189693848","wikidata":"https://www.wikidata.org/wiki/Q6031064","display_name":"Information exchange","level":2,"score":0.47546666860580444},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4742794930934906},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.44922178983688354},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4271838963031769},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3340902328491211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28289371728897095},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2127174437046051},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.12306895852088928},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06375357508659363},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1519983590","https://openalex.org/W1643746074","https://openalex.org/W1994860969","https://openalex.org/W2020123437","https://openalex.org/W2022948311","https://openalex.org/W2044212084","https://openalex.org/W2089559088","https://openalex.org/W2266148951","https://openalex.org/W2411716095","https://openalex.org/W2587943776","https://openalex.org/W2763533254","https://openalex.org/W2782615409","https://openalex.org/W2788053000","https://openalex.org/W2791323206","https://openalex.org/W2892002891","https://openalex.org/W2914904265","https://openalex.org/W2939856750","https://openalex.org/W2963128910","https://openalex.org/W2963326510","https://openalex.org/W2963649943","https://openalex.org/W2964005211","https://openalex.org/W2964070557","https://openalex.org/W2964249351","https://openalex.org/W2970370162","https://openalex.org/W2982310662","https://openalex.org/W2982523334","https://openalex.org/W3037593317","https://openalex.org/W3037721576","https://openalex.org/W3100513551","https://openalex.org/W4229706427","https://openalex.org/W4230471307","https://openalex.org/W4289760629","https://openalex.org/W6631077220","https://openalex.org/W6748541206","https://openalex.org/W6749133739","https://openalex.org/W6751921135","https://openalex.org/W6753194085","https://openalex.org/W6759395059","https://openalex.org/W6761465403","https://openalex.org/W6769869542","https://openalex.org/W6770244162","https://openalex.org/W6780272793"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2094891943","https://openalex.org/W4240399920","https://openalex.org/W1572705989"],"abstract_inverted_index":{"We":[0,61,93],"consider":[1],"a":[2,9,15,36,55],"distributed":[3],"saddle":[4],"point":[5],"problem,":[6,33],"in":[7],"which":[8],"collection":[10],"of":[11,17,58,89],"nodes":[12],"collaboratively":[13],"optimize":[14],"sum":[16],"local":[18,22],"component":[19],"functions":[20],"through":[21],"computations":[23],"and":[24,73,85],"information":[25],"exchange":[26],"with":[27],"neighbouring":[28],"nodes.":[29],"To":[30],"solve":[31],"this":[32],"we":[34],"propose":[35],"decentralized":[37],"algorithm":[38],"based":[39],"on":[40,54,81],"the":[41,77,82,86,90],"Extragradient":[42],"method,":[43],"whose":[44],"centralized":[45],"implementation":[46],"has":[47],"been":[48],"shown":[49],"to":[50],"achieve":[51],"good":[52],"performance":[53],"wide":[56],"range":[57],"min-max":[59],"problems.":[60],"show":[62],"that":[63,98],"our":[64,100],"proposed":[65],"method":[66],"achieves":[67],"linear":[68],"convergence":[69,78],"under":[70],"suitable":[71],"assumptions":[72],"explicitly":[74],"characterize":[75],"how":[76],"rate":[79],"depends":[80],"condition":[83],"number":[84],"spectral":[87],"gap":[88],"communication":[91],"graph.":[92],"also":[94],"present":[95],"numerical":[96],"simulations":[97],"corroborate":[99],"theoretical":[101],"results.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}