{"id":"https://openalex.org/W2291514799","doi":"https://doi.org/10.1109/acssc.2015.7421158","title":"Decentralized double stochastic averaging gradient","display_name":"Decentralized double stochastic averaging gradient","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2291514799","doi":"https://doi.org/10.1109/acssc.2015.7421158","mag":"2291514799"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2015.7421158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2015.7421158","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 49th Asilomar Conference on Signals, Systems and Computers","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/A5008417632","display_name":"Aryan Mokhtari","orcid":"https://orcid.org/0000-0001-6603-0091"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aryan Mokhtari","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078862959","display_name":"Alejandro Ribeiro","orcid":"https://orcid.org/0000-0003-4230-9906"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alejandro Ribeiro","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7533,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87364776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"406","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9983000159263611,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9936000108718872,"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/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.746749222278595},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.722685694694519},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6472620964050293},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6066445708274841},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5723822116851807},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5379325747489929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5369431972503662},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47924259305000305},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.47695648670196533},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.42652732133865356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41642996668815613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3716752529144287},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2975686192512512},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.21970057487487793},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09371015429496765},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.0861610472202301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07407483458518982}],"concepts":[{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.746749222278595},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.722685694694519},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6472620964050293},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6066445708274841},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5723822116851807},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5379325747489929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5369431972503662},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47924259305000305},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.47695648670196533},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.42652732133865356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41642996668815613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3716752529144287},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2975686192512512},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.21970057487487793},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09371015429496765},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0861610472202301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07407483458518982},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/acssc.2015.7421158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2015.7421158","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 49th Asilomar Conference on Signals, Systems and Computers","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":29,"referenced_works":["https://openalex.org/W866281365","https://openalex.org/W1571416372","https://openalex.org/W1791038712","https://openalex.org/W1973754217","https://openalex.org/W2009537245","https://openalex.org/W2012812921","https://openalex.org/W2044212084","https://openalex.org/W2066332749","https://openalex.org/W2108970807","https://openalex.org/W2117412539","https://openalex.org/W2118776392","https://openalex.org/W2129122308","https://openalex.org/W2130758224","https://openalex.org/W2144244418","https://openalex.org/W2148087609","https://openalex.org/W2154834860","https://openalex.org/W2291514799","https://openalex.org/W2293409919","https://openalex.org/W2950419925","https://openalex.org/W2952112110","https://openalex.org/W2952215077","https://openalex.org/W2953332881","https://openalex.org/W2963156201","https://openalex.org/W3101665129","https://openalex.org/W4242484741","https://openalex.org/W6634001224","https://openalex.org/W6636333826","https://openalex.org/W6638407692","https://openalex.org/W6680196509"],"related_works":["https://openalex.org/W2149119057","https://openalex.org/W4286899070","https://openalex.org/W4323366756","https://openalex.org/W3207830353","https://openalex.org/W4285259204","https://openalex.org/W3109737792","https://openalex.org/W3109198354","https://openalex.org/W937081240","https://openalex.org/W2760303966","https://openalex.org/W4401866412"],"abstract_inverted_index":{"This":[0,118],"paper":[1],"considers":[2],"convex":[3],"optimization":[4,130],"problems":[5,50],"where":[6,51],"nodes":[7],"of":[8,15,21,32,36,53,83,89,95,100,141],"a":[9,16,33,74,115],"network":[10],"have":[11],"access":[12],"to":[13,28,44,59,109,122,148],"summands":[14],"global":[17],"objective":[18],"function.":[19],"Each":[20],"these":[22,149],"local":[23,84,90],"objectives":[24],"is":[25,43,71,107,119],"further":[26],"assumed":[27],"be":[29],"an":[30],"average":[31],"finite":[34],"set":[35,56],"functions.":[37],"The":[38,63,81,105],"motivation":[39],"for":[40,127],"this":[41],"setup":[42],"solve":[45],"large":[46],"scale":[47],"machine":[48],"learning":[49],"elements":[52],"the":[54,111],"training":[55],"are":[57],"distributed":[58,128],"multiple":[60],"computational":[61],"elements.":[62],"decentralized":[64],"double":[65],"stochastic":[66,85,102,129],"averaging":[67,86,103],"gradient":[68],"(DSA)":[69],"algorithm":[70,106],"proposed":[72],"as":[73,98],"solution":[75],"alternative":[76],"that":[77,131],"relies":[78],"on:":[79],"(i)":[80],"use":[82],"gradients":[87],"instead":[88],"full":[91],"gradients.":[92,104],"(ii)":[93],"Determination":[94],"descent":[96],"steps":[97],"differences":[99],"consecutive":[101],"shown":[108],"approach":[110],"optimal":[112],"argument":[113],"at":[114,133],"linear":[116,139],"rate.":[117],"in":[120],"contrast":[121],"all":[123],"other":[124,150],"available":[125],"methods":[126],"converge":[132],"sublinear":[134],"rates.":[135],"Numerical":[136],"experiments":[137],"verify":[138],"convergence":[140],"DSA":[142],"and":[143],"illustrate":[144],"its":[145],"advantages":[146],"relative":[147],"alternatives.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}