{"id":"https://openalex.org/W2991772480","doi":"https://doi.org/10.1109/tsp.2020.3031071","title":"Variance-Reduced Decentralized Stochastic Optimization With Accelerated Convergence","display_name":"Variance-Reduced Decentralized Stochastic Optimization With Accelerated Convergence","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2991772480","doi":"https://doi.org/10.1109/tsp.2020.3031071","mag":"2991772480"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.3031071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3031071","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1912.04230","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033024261","display_name":"Ran Xin","orcid":"https://orcid.org/0000-0002-1697-9116"},"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":"Ran Xin","raw_affiliation_strings":["Electrical and Computer Engineering (ECE) Department, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1697-9116","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering (ECE) Department, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025641667","display_name":"Usman A. Khan","orcid":"https://orcid.org/0000-0002-0853-6518"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Usman A. Khan","raw_affiliation_strings":["ECE Department, Tufts University, Medford, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0853-6518","affiliations":[{"raw_affiliation_string":"ECE Department, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"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":["Electrical and Computer Engineering (ECE) Department, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8060-5581","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering (ECE) Department, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.9811,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.98282314,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"68","issue":null,"first_page":"6255","last_page":"6271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9995999932289124,"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":0.9991000294685364,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9983000159263611,"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/variance-reduction","display_name":"Variance reduction","score":0.6674463748931885},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5680269002914429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4860396981239319},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.46601369976997375},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4578815996646881},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.44654279947280884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39482903480529785},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38526129722595215},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3761664927005768},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3634626269340515},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.33944880962371826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33271998167037964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0925789475440979}],"concepts":[{"id":"https://openalex.org/C62644790","wikidata":"https://www.wikidata.org/wiki/Q3454689","display_name":"Variance reduction","level":3,"score":0.6674463748931885},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5680269002914429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4860396981239319},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.46601369976997375},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4578815996646881},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44654279947280884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39482903480529785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38526129722595215},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3761664927005768},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3634626269340515},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.33944880962371826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33271998167037964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0925789475440979},{"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/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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2020.3031071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3031071","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1912.04230","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.04230","pdf_url":"https://arxiv.org/pdf/1912.04230","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1912.04230","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.04230","pdf_url":"https://arxiv.org/pdf/1912.04230","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":78,"referenced_works":["https://openalex.org/W1553365534","https://openalex.org/W1571416372","https://openalex.org/W1994860969","https://openalex.org/W2029080014","https://openalex.org/W2044212084","https://openalex.org/W2066332749","https://openalex.org/W2068254488","https://openalex.org/W2107438106","https://openalex.org/W2153635508","https://openalex.org/W2154834860","https://openalex.org/W2163786124","https://openalex.org/W2216483973","https://openalex.org/W2254148458","https://openalex.org/W2266148951","https://openalex.org/W2291434103","https://openalex.org/W2617089797","https://openalex.org/W2617960902","https://openalex.org/W2763533254","https://openalex.org/W2782375002","https://openalex.org/W2789243870","https://openalex.org/W2792751837","https://openalex.org/W2802324011","https://openalex.org/W2806414180","https://openalex.org/W2891154081","https://openalex.org/W2902410171","https://openalex.org/W2946319938","https://openalex.org/W2947862237","https://openalex.org/W2947882888","https://openalex.org/W2948978298","https://openalex.org/W2952215077","https://openalex.org/W2955291764","https://openalex.org/W2962696654","https://openalex.org/W2962771678","https://openalex.org/W2962989062","https://openalex.org/W2963156201","https://openalex.org/W2963228337","https://openalex.org/W2963247030","https://openalex.org/W2963457669","https://openalex.org/W2963649943","https://openalex.org/W2963940890","https://openalex.org/W2964165783","https://openalex.org/W2965405018","https://openalex.org/W2971336218","https://openalex.org/W2971384159","https://openalex.org/W2976082345","https://openalex.org/W2981831462","https://openalex.org/W3003613721","https://openalex.org/W3009274618","https://openalex.org/W3011020921","https://openalex.org/W3011252985","https://openalex.org/W3023944502","https://openalex.org/W3042491641","https://openalex.org/W3047780503","https://openalex.org/W3086080324","https://openalex.org/W3092262213","https://openalex.org/W3099715789","https://openalex.org/W3100513551","https://openalex.org/W3102661755","https://openalex.org/W4229706427","https://openalex.org/W4230058301","https://openalex.org/W4299802343","https://openalex.org/W6676105031","https://openalex.org/W6680196509","https://openalex.org/W6688698367","https://openalex.org/W6691563341","https://openalex.org/W6734509502","https://openalex.org/W6738250615","https://openalex.org/W6748632073","https://openalex.org/W6751391886","https://openalex.org/W6751976365","https://openalex.org/W6756976665","https://openalex.org/W6762890449","https://openalex.org/W6763299524","https://openalex.org/W6763365080","https://openalex.org/W6763700380","https://openalex.org/W6767487546","https://openalex.org/W6774934054","https://openalex.org/W6782083142"],"related_works":["https://openalex.org/W2111181341","https://openalex.org/W2886060011","https://openalex.org/W363903320","https://openalex.org/W2981958474","https://openalex.org/W2313927419","https://openalex.org/W4292651679","https://openalex.org/W2400034325","https://openalex.org/W2499557797","https://openalex.org/W4387635768","https://openalex.org/W4299515259"],"abstract_inverted_index":{"This":[0],"paper":[1,121],"describes":[2],"a":[3,9,15,48,56,144,199,215],"novel":[4],"algorithmic":[5],"framework":[6,53],"to":[7,55,105,136,186,206],"minimize":[8],"finite-sum":[10],"of":[11,17,58,79,108,126,224],"functions":[12],"available":[13],"over":[14],"network":[16],"nodes.":[18,94],"The":[19,51],"proposed":[20],"framework,":[21,129],"that":[22,68,152,181,195,210],"we":[23,193],"call":[24],"GT-VR,":[25],"is":[26,32,122],"stochastic":[27],"and":[28,30,100,114,132,141,148,155,163,167],"decentralized,":[29],"thus":[31],"particularly":[33],"suitable":[34],"for":[35,161],"problems":[36,166],"where":[37],"large-scale,":[38],"potentially":[39],"private":[40],"data,":[41],"cannot":[42],"be":[43],"collected":[44],"or":[45],"processed":[46],"at":[47,214],"centralized":[49,138,208],"server.":[50],"GT-VR":[52,128],"leads":[54,104],"family":[57],"algorithms":[59,107,197],"with":[60,110,184],"two":[61,124],"key":[62],"ingredients:":[63],"(i)":[64],"local":[65,72,80],"variance":[66,98],"reduction,":[67],"enables":[69],"estimating":[70],"the":[71,89,93,127,170,187,221,225],"batch":[73],"gradients":[74],"from":[75],"arbitrarily":[76],"drawn":[77],"samples":[78],"data;":[81],"and,":[82],"(ii)":[83],"global":[84],"gradient":[85,90,101],"tracking,":[86],"which":[87,173],"fuses":[88],"information":[91],"across":[92],"Naturally,":[95],"combining":[96],"different":[97,106],"reduction":[99],"tracking":[102],"techniques":[103],"interest":[109],"valuable":[111],"practical":[112],"tradeoffs":[113],"design":[115],"considerations.":[116],"Our":[117],"focus":[118],"in":[119,172,202],"this":[120],"on":[123],"instantiations":[125],"namely":[130],"GT-SAGA":[131,154],"GT-SVRG,":[133],"that,":[134],"similar":[135],"their":[137,207],"counterparts":[139,209],"(SAGA":[140],"SVRG),":[142],"exhibit":[143],"compromise":[145],"between":[146],"space":[147],"time.":[149],"We":[150],"show":[151,194],"both":[153,196],"GT-SVRG":[156],"achieve":[157,175,198],"accelerated":[158],"linear":[159,178,200],"convergence":[160,179,222],"smooth":[162],"strongly":[164],"convex":[165],"further":[168],"describe":[169],"regimes":[171,204],"they":[174],"non-asymptotic,":[176],"network-independent":[177],"rates":[180],"are":[182],"faster":[183],"respect":[185],"existing":[188],"decentralized":[189],"first-order":[190],"schemes.":[191],"Moreover,":[192],"speedup":[201],"such":[203],"compared":[205],"process":[211],"all":[212],"data":[213],"single":[216],"node.":[217],"Extensive":[218],"simulations":[219],"illustrate":[220],"behavior":[223],"corresponding":[226],"algorithms.":[227]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":16}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}