{"id":"https://openalex.org/W2345718780","doi":"https://doi.org/10.1109/tit.2016.2580665","title":"Diffusion-Based Adaptive Distributed Detection: Steady-State Performance in the Slow Adaptation Regime","display_name":"Diffusion-Based Adaptive Distributed Detection: Steady-State Performance in the Slow Adaptation Regime","publication_year":2016,"publication_date":"2016-06-22","ids":{"openalex":"https://openalex.org/W2345718780","doi":"https://doi.org/10.1109/tit.2016.2580665","mag":"2345718780"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2580665","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2580665","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.5742","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033752533","display_name":"Vincenzo Matta","orcid":"https://orcid.org/0000-0002-2046-4027"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vincenzo Matta","raw_affiliation_strings":["Department of Information Engineering, University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042374975","display_name":"Paolo Braca","orcid":"https://orcid.org/0000-0002-3762-4373"},"institutions":[{"id":"https://openalex.org/I4210162703","display_name":"North Atlantic Treaty Organization","ror":"https://ror.org/05xagc088","country_code":"BE","type":"funder","lineage":["https://openalex.org/I4210162703"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Paolo Braca","raw_affiliation_strings":["Centre for Maritime Research and Experimentation, NATO Science and Technology Organization, La Spezia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Maritime Research and Experimentation, NATO Science and Technology Organization, La Spezia, Italy","institution_ids":["https://openalex.org/I4210162703"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088577155","display_name":"Stefano Maran\u00f2","orcid":"https://orcid.org/0000-0002-5307-0980"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Marano","raw_affiliation_strings":["Department of Information Engineering, University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091103447","display_name":"Ali H. Sayed","orcid":"https://orcid.org/0000-0002-5125-5519"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali H. Sayed","raw_affiliation_strings":["Electrical Engineering Department, University of California at Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of California at Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9494,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.96443008,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"62","issue":"8","first_page":"4710","last_page":"4732"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9911999702453613,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9732000231742859,"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/scaling","display_name":"Scaling","score":0.6521263122558594},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.566116213798523},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.565484344959259},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5373104810714722},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5286149382591248},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5237472057342529},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5062519907951355},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5051940083503723},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4823129177093506},{"id":"https://openalex.org/keywords/adaptation","display_name":"Adaptation (eye)","score":0.472817063331604},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.46442997455596924},{"id":"https://openalex.org/keywords/exponential-decay","display_name":"Exponential decay","score":0.45784515142440796},{"id":"https://openalex.org/keywords/false-alarm","display_name":"False alarm","score":0.4435881972312927},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38775962591171265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3459189534187317},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20461446046829224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19202065467834473},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16308674216270447},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1338023841381073},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10462081432342529}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6521263122558594},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.566116213798523},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.565484344959259},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5373104810714722},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5286149382591248},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5237472057342529},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5062519907951355},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5051940083503723},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4823129177093506},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.472817063331604},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46442997455596924},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.45784515142440796},{"id":"https://openalex.org/C2776836416","wikidata":"https://www.wikidata.org/wiki/Q1364844","display_name":"False alarm","level":2,"score":0.4435881972312927},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38775962591171265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3459189534187317},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20461446046829224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19202065467834473},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16308674216270447},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1338023841381073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10462081432342529},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2016.2580665","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2580665","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1401.5742","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5742","pdf_url":"https://arxiv.org/pdf/1401.5742","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":null,"raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:233518","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/233518","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"pmh:oai:infoscience.tind.io:233518","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/143416","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.5742","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5742","pdf_url":"https://arxiv.org/pdf/1401.5742","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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G1865827203","display_name":null,"funder_award_id":"CCF-1011918","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G6311858592","display_name":null,"funder_award_id":"ECCS-1407712","funder_id":"https://openalex.org/F4320337392","funder_display_name":"Division of Electrical, Communications and Cyber Systems"},{"id":"https://openalex.org/G6623048128","display_name":null,"funder_award_id":"CCF-1524250","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":78,"referenced_works":["https://openalex.org/W171231911","https://openalex.org/W285471286","https://openalex.org/W391578156","https://openalex.org/W1525038591","https://openalex.org/W1527034787","https://openalex.org/W1528719522","https://openalex.org/W1974354786","https://openalex.org/W1977862970","https://openalex.org/W1982401839","https://openalex.org/W1983913844","https://openalex.org/W1986730033","https://openalex.org/W2007208291","https://openalex.org/W2011101252","https://openalex.org/W2018518550","https://openalex.org/W2020633490","https://openalex.org/W2024307985","https://openalex.org/W2027481851","https://openalex.org/W2042664989","https://openalex.org/W2044212084","https://openalex.org/W2045638068","https://openalex.org/W2051359738","https://openalex.org/W2056840248","https://openalex.org/W2059120410","https://openalex.org/W2060212401","https://openalex.org/W2064039105","https://openalex.org/W2065577175","https://openalex.org/W2068143054","https://openalex.org/W2074796812","https://openalex.org/W2079363091","https://openalex.org/W2082904296","https://openalex.org/W2086502731","https://openalex.org/W2097415784","https://openalex.org/W2098188576","https://openalex.org/W2099111195","https://openalex.org/W2100169223","https://openalex.org/W2109457627","https://openalex.org/W2109547112","https://openalex.org/W2114557042","https://openalex.org/W2115758294","https://openalex.org/W2116137374","https://openalex.org/W2117905067","https://openalex.org/W2118776392","https://openalex.org/W2120286056","https://openalex.org/W2121820607","https://openalex.org/W2124770452","https://openalex.org/W2126428682","https://openalex.org/W2127484045","https://openalex.org/W2129906637","https://openalex.org/W2133380705","https://openalex.org/W2153368486","https://openalex.org/W2154834860","https://openalex.org/W2163382065","https://openalex.org/W2163599171","https://openalex.org/W2169593613","https://openalex.org/W2295500362","https://openalex.org/W2296319761","https://openalex.org/W2321521606","https://openalex.org/W2322524800","https://openalex.org/W2547626998","https://openalex.org/W2595897327","https://openalex.org/W2610805269","https://openalex.org/W2610857016","https://openalex.org/W2795628069","https://openalex.org/W2802739963","https://openalex.org/W2963157432","https://openalex.org/W2963738391","https://openalex.org/W3104550706","https://openalex.org/W4233794643","https://openalex.org/W4234736379","https://openalex.org/W4238850922","https://openalex.org/W4239240501","https://openalex.org/W4249446031","https://openalex.org/W4250589301","https://openalex.org/W4255372713","https://openalex.org/W4299533062","https://openalex.org/W4300544062","https://openalex.org/W4301258660","https://openalex.org/W6678487047"],"related_works":["https://openalex.org/W2020416548","https://openalex.org/W1602624896","https://openalex.org/W390249267","https://openalex.org/W4221157288","https://openalex.org/W1912932921","https://openalex.org/W2962829328","https://openalex.org/W2052339053","https://openalex.org/W4388933805","https://openalex.org/W1970229083","https://openalex.org/W2952261886"],"abstract_inverted_index":{"This":[0,108],"paper":[1,61,109,295],"examines":[2],"the":[3,44,68,78,83,119,122,143,164,168,187,191,206,209,214,223,227,232,237,243,252,268,276],"close":[4],"interplay":[5],"between":[6],"cooperation":[7,22],"and":[8,23,38,74,106,170,204,231,262],"adaptation":[9,24,80,105,145],"for":[10,67,163],"distributed":[11,91,303],"detection":[12,73,230,278,283,304],"schemes":[13],"over":[14,236],"fully":[15],"decentralized":[16],"networks.":[17],"The":[18,57,98,291],"combined":[19],"attributes":[20],"of":[21,30,46,52,71,121,147,167,202,216,229,234,282,286,293],"are":[25,100,161,175,194,296],"necessary":[26],"to":[27,32,39,90,102,196,249,259,274,301],"enable":[28,103],"networks":[29],"detectors":[31],"continually":[33,40],"learn":[34],"from":[35,177],"streaming":[36],"data":[37],"track":[41],"drifts":[42],"in":[43,50,59,77,142,213,280],"state":[45],"nature":[47],"when":[48,82],"deciding":[49],"favor":[51],"one":[53],"hypothesis":[54],"or":[55],"another.":[56],"results":[58,292],"this":[60,137,294],"establish":[62],"a":[63,129,154,287],"fundamental":[64],"scaling":[65,224],"law":[66],"steady-state":[69,130],"probabilities":[70,193],"miss":[72],"false":[75],"alarm":[76],"slow":[79,144],"regime,":[81],"agents":[84],"interact":[85],"with":[86,242,256],"each":[87,126,272],"other":[88],"according":[89],"strategies":[92],"that":[93,118,136,185,205,222,267],"employ":[94],"small":[95,148],"constant":[96],"step-sizes.":[97,149],"latter":[99,253],"critical":[101],"continuous":[104],"learning.":[107],"establishes":[110],"three":[111],"key":[112],"results.":[113],"First,":[114],"it":[115,133,182,264],"is":[116,134,139,183,219,265],"shown":[117,135,266],"output":[120],"collaborative":[123],"process":[124],"at":[125],"agent":[127,273],"has":[128],"distribution.":[131],"Second,":[132],"distribution":[138],"asymptotically":[140],"Gaussian":[141],"regime":[146],"Third,":[150],"by":[151,298],"carrying":[152],"out":[153],"detailed":[155],"large":[156],"deviations":[157],"analysis,":[158],"closed-form":[159],"expressions":[160],"derived":[162],"decaying":[165],"rates":[166],"false-alarm":[169],"miss-detection":[171],"probabilities.":[172],"Interesting":[173],"insights":[174],"gained":[176],"these":[178],"expressions.":[179],"In":[180],"particular,":[181],"verified":[184,221],"as":[186,200],"step-size":[188],"\u03bc":[189],"decreases,":[190],"error":[192,284],"driven":[195],"zero":[197],"exponentially":[198],"fast":[199],"functions":[201],"1\u03bc,":[203,250],"exponents":[207],"governing":[208,226],"decay":[210,247,257],"increase":[211],"linearly":[212,255],"number":[215],"agents.":[217],"It":[218],"also":[220],"laws":[225],"errors":[228,233],"estimation":[235],"network":[238],"behave":[239],"very":[240],"differently,":[241],"former":[244],"having":[245],"exponential":[246],"proportional":[248,258],"while":[251],"scales":[254],"\u03bc.":[260],"Moreover,":[261],"interestingly,":[263],"cooperative":[269],"strategy":[270],"allows":[271],"reach":[275],"same":[277],"performance,":[279],"terms":[281],"exponents,":[285],"centralized":[288],"stochastic-gradient":[289],"solution.":[290],"illustrated":[297],"applying":[299],"them":[300],"canonical":[302],"problems.":[305]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}