{"id":"https://openalex.org/W4391322268","doi":"https://doi.org/10.1137/22m1543197","title":"Nonlinear Consensus+Innovations under Correlated Heavy-Tailed Noises: Mean Square Convergence Rate and Asymptotics","display_name":"Nonlinear Consensus+Innovations under Correlated Heavy-Tailed Noises: Mean Square Convergence Rate and Asymptotics","publication_year":2024,"publication_date":"2024-01-29","ids":{"openalex":"https://openalex.org/W4391322268","doi":"https://doi.org/10.1137/22m1543197"},"language":"en","primary_location":{"id":"doi:10.1137/22m1543197","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1543197","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5076009747","display_name":"Manojlo Vukovi\u0107","orcid":"https://orcid.org/0000-0003-4012-3593"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Manojlo Vukovic","raw_affiliation_strings":["Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070836307","display_name":"Du\u0161an Jakoveti\u0107","orcid":"https://orcid.org/0000-0003-3497-5589"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Dusan Jakovetic","raw_affiliation_strings":["Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077197425","display_name":"Dragana Bajovi\u0107","orcid":"https://orcid.org/0000-0003-1783-8734"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dragana Bajovic","raw_affiliation_strings":["Department of Power, Electronic, and Communication Engineering, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Power, Electronic, and Communication Engineering, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077268766","display_name":"Soummya Kar","orcid":"https://orcid.org/0000-0002-8060-5581"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soummya Kar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA 15213 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA 15213 USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076009747"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":0.3653,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54301348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"62","issue":"1","first_page":"376","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9997000098228455,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9997000098228455,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9970999956130981,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8542673587799072},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6492720246315002},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6464706659317017},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.625892162322998},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5409636497497559},{"id":"https://openalex.org/keywords/mean-square","display_name":"Mean square","score":0.48636987805366516},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.46955186128616333},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.43102675676345825},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3410411477088928},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32115304470062256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09331083297729492},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0764211118221283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07184696197509766}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8542673587799072},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6492720246315002},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6464706659317017},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.625892162322998},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5409636497497559},{"id":"https://openalex.org/C2988709989","wikidata":"https://www.wikidata.org/wiki/Q85784623","display_name":"Mean square","level":2,"score":0.48636987805366516},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.46955186128616333},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.43102675676345825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3410411477088928},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32115304470062256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09331083297729492},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0764211118221283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07184696197509766},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1543197","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1543197","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322729","display_name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja","ror":"https://ror.org/01znas443"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1498711961","https://openalex.org/W1571416372","https://openalex.org/W2012464243","https://openalex.org/W2051359738","https://openalex.org/W2065577175","https://openalex.org/W2075295072","https://openalex.org/W2080522017","https://openalex.org/W2081644566","https://openalex.org/W2083657634","https://openalex.org/W2100195693","https://openalex.org/W2108306501","https://openalex.org/W2111395440","https://openalex.org/W2115733245","https://openalex.org/W2118776392","https://openalex.org/W2120852651","https://openalex.org/W2127484045","https://openalex.org/W2156415659","https://openalex.org/W2169818402","https://openalex.org/W2345718780","https://openalex.org/W2491761458","https://openalex.org/W2600434153","https://openalex.org/W2789663101","https://openalex.org/W2962730199","https://openalex.org/W2962755526","https://openalex.org/W2963446564","https://openalex.org/W2963881501","https://openalex.org/W3031666824","https://openalex.org/W3047717353","https://openalex.org/W3102646983","https://openalex.org/W3106163143","https://openalex.org/W3108839769","https://openalex.org/W3160131089","https://openalex.org/W4206136358","https://openalex.org/W4377013551"],"related_works":["https://openalex.org/W3102623159","https://openalex.org/W2102148524","https://openalex.org/W2314720829","https://openalex.org/W4385074335","https://openalex.org/W2366911843","https://openalex.org/W2626189183","https://openalex.org/W2350577681","https://openalex.org/W2166435121","https://openalex.org/W2370813211","https://openalex.org/W2902606351"],"abstract_inverted_index":{".We":[0],"consider":[1],"distributed":[2,32,77],"recursive":[3],"estimation":[4],"of":[5,11,43,70,131],"consensus+innovations":[6,76],"type":[7],"in":[8,33,59,67,84,156],"the":[9,20,92,96,116,129,132,136,140,152,157,168],"presence":[10],"heavy-tailed":[12],"sensing":[13,21],"and":[14,22,30,35,61,87,103,112,135,149],"communication":[15,23],"noises.":[16],"We":[17,73,94,123],"allow":[18],"that":[19,36,79,151],"noises":[24,55,137],"are":[25,56,62],"mutually":[26],"correlated":[27],"while":[28,163],"independent":[29],"identically":[31],"time,":[34],"they":[37],"may":[38],"both":[39,85],"have":[40],"infinite":[41,50],"moments":[42],"order":[44],"higher":[45],"than":[46],"one":[47],"(hence":[48],"having":[49],"variances).":[51],"Such":[52],"heavy-tailed,":[53],"infinite-variance":[54],"highly":[57],"relevant":[58],"practice":[60],"shown":[63],"to":[64,90],"occur,":[65],"e.g.,":[66],"dense":[68],"internet":[69],"things":[71],"deployments.":[72],"develop":[74],"a":[75,81,118],"estimator":[78,117],"employs":[80],"general":[82],"nonlinearity":[83,133],"consensus":[86],"innovations":[88],"steps":[89],"combat":[91],"noise.":[93],"establish":[95,111],"estimator's":[97],"almost":[98],"sure":[99],"convergence,":[100],"asymptotic":[101],"normality,":[102],"mean":[104],"squared":[105],"error":[106],"(MSE)":[107],"convergence.":[108],"Moreover,":[109],"we":[110],"explicitly":[113],"quantify":[114,125],"for":[115],"sublinear":[119],"MSE":[120],"convergence":[121,176],"rate.":[122],"then":[124],"through":[126],"analytical":[127],"examples":[128,145],"effects":[130],"choices":[134],"correlation":[138],"on":[139],"system":[141],"performance.":[142],"Finally,":[143],"numerical":[144],"corroborate":[146],"our":[147],"findings":[148],"verify":[150],"proposed":[153],"method":[154],"works":[155],"simultaneous":[158],"heavy-tail":[159],"communication-sensing":[160],"noise":[161,170],"setting,":[162],"existing":[164],"methods":[165],"fail":[166],"under":[167],"same":[169],"conditions.Keywordsnonlinear":[171],"mappingsconsensus+innovationsdistributed":[172],"estimationheavy-tailed":[173],"noisemean":[174],"square":[175],"ratecorrelated":[177],"noisesMSC":[178],"codes93E1093E3560G3594A1362M05":[179]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}