{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T15:13:27Z","timestamp":1784646807838,"version":"3.55.0"},"reference-count":38,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"NSF","award":["#1513936"],"award-info":[{"award-number":["#1513936"]}]},{"name":"NSF","award":["#1903972"],"award-info":[{"award-number":["#1903972"]}]},{"name":"NSF","award":["#1935555"],"award-info":[{"award-number":["#1935555"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/tsp.2021.3062553","type":"journal-article","created":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T21:31:12Z","timestamp":1614634272000},"page":"1842-1858","source":"Crossref","is-referenced-by-count":75,"title":["An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1697-9116","authenticated-orcid":false,"given":"Ran","family":"Xin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0853-6518","authenticated-orcid":false,"given":"Usman A.","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8060-5581","authenticated-orcid":false,"given":"Soummya","family":"Kar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref38","first-page":"1","article-title":"Robust asynchronous stochastic gradient-push: Asymptotically optimal and network-independent performance for strongly convex functions","volume":"21","author":"spiridonoff","year":"2020","journal-title":"J Mach Learn Res"},{"key":"ref33","article-title":"A sharp estimate on the transient time of distributed stochastic gradient descent","author":"pu","year":"2019"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/047"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2019.2926022"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139020411"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2020.3031071"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s10463-009-0242-4"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1109\/JPROC.2018.2817461","article-title":"Network topology and communication-computation tradeoffs in decentralized optimization","volume":"106","author":"nedi?","year":"2018","journal-title":"Proc IEEE"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2020.2975212"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2020.3008605"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/14096668X"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2018.2875898"},{"key":"ref13","first-page":"4848","article-title":"$D^{2}$: Decentralized training over decentralized data","author":"tang","year":"0","journal-title":"Proc 35th Int Conf Mach Learn"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402509"},{"key":"ref15","first-page":"120","article-title":"Next: In-network nonconvex optimization","volume":"2","author":"p","year":"2016","journal-title":"IEEE Trans Signal Inf Process Netw Process"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2017.2698261"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/16M1084316"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-01357-w"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2018.2834316"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-46128-1_50"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2198470"},{"key":"ref27","first-page":"1467","article-title":"Global convergence of policy gradient methods for the linear quadratic regulator","author":"fazel","year":"0","journal-title":"Proc 35th Int Conf Mach Learn"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1007\/s10957-010-9737-7","article-title":"Distributed stochastic subgradient projection algorithms for convex optimization","volume":"147","author":"ram","year":"2010","journal-title":"J Optim Theory Appl"},{"key":"ref6","first-page":"344","article-title":"Stochastic gradient push for distributed deep learning","author":"assran","year":"0","journal-title":"Proc 36th Int Conf Mach Learn"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.10.021"},{"key":"ref5","first-page":"5330","author":"lian","year":"0","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref8","article-title":"Distributed stochastic gradient descent and convergence to local minima","author":"swenson","year":"2020"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2021.3050840"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2020.3024266"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-020-01487-0"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/16M1080173"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2018.8619047"},{"key":"ref22","article-title":"Decentralized stochastic gradient tracking for empirical risk minimization","author":"zhang","year":"2019"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/DSW.2019.8755807"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2020.3024321"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2011.2127446"},{"key":"ref26","article-title":"Introduction to Optimization","author":"t polyak","year":"1987"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5110-1_10"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/78\/9307529\/9366365-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/78\/9307529\/09366365.pdf?arnumber=9366365","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:50:41Z","timestamp":1652194241000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9366365\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":38,"URL":"https:\/\/doi.org\/10.1109\/tsp.2021.3062553","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}