{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T21:03:18Z","timestamp":1775595798009,"version":"3.50.1"},"reference-count":47,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62273181"],"award-info":[{"award-number":["62273181"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62373190"],"award-info":[{"award-number":["62373190"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62221004"],"award-info":[{"award-number":["62221004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12401123"],"award-info":[{"award-number":["12401123"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Research Grants Council of the Hong Kong Special Administrative Region, China","award":["12301424"],"award-info":[{"award-number":["12301424"]}]},{"name":"Open Projects of the Institute of Systems Science, Beijing Wuzi University","award":["BWUISS20"],"award-info":[{"award-number":["BWUISS20"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Neural Netw. Learning Syst."],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1109\/tnnls.2025.3622106","type":"journal-article","created":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T17:34:45Z","timestamp":1761672885000},"page":"1533-1545","source":"Crossref","is-referenced-by-count":0,"title":["Decentralized Online Optimization With Compressed Communication Over Directed Graphs"],"prefix":"10.1109","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7806-346X","authenticated-orcid":false,"given":"Honglei","family":"Liu","sequence":"first","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5271-2462","authenticated-orcid":false,"given":"Baoyong","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2194-0101","authenticated-orcid":false,"given":"Zhan","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4371-5105","authenticated-orcid":false,"given":"Deming","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-4626-8397","authenticated-orcid":false,"given":"Mingcheng","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, Nanjing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2021.3129618"},{"key":"ref2","first-page":"613","article-title":"Dual mirror descent for online allocation problems","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Lu"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3105146"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1561\/2400000013"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1561\/2400000037"},{"key":"ref6","first-page":"928","article-title":"Online convex programming and generalized infinitesimal gradient ascent","volume-title":"Proc. 20th Int. Conf. Mach. Learn.","author":"Zinkevich"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s10994-007-5016-8"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2021.3072373"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2014.2350474"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2011.5991212"},{"issue":"172","key":"ref11","first-page":"1","article-title":"Projection-free distributed online learning with sublinear communication complexity","volume":"23","author":"Wan","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref12","first-page":"4862","article-title":"Nearly optimal regret for decentralized online convex optimization","volume-title":"Proc. 37th Annu. Conf. Learn. Theory","author":"Wan"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2012.191"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2021.3062553"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2755720"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2022.3184957"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2743462"},{"key":"ref18","first-page":"5605","article-title":"Black-box reductions for decentralized online convex optimization in changing environments","volume-title":"Proc. Adv. Neural Int. Process. Syst.","author":"Wan"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2024.3492144"},{"key":"ref20","article-title":"Revisiting differentially private algorithms for decentralized online learning","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Wang"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2020.2976273"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2364096"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2015.2505149"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2999309"},{"key":"ref25","first-page":"20185","article-title":"Asynchronous decentralized online learning","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"34","author":"Jiang"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2021.3103747"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2972824"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2022.3219289"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2022.3212424"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3275927"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.01.040"},{"key":"ref32","first-page":"3478","article-title":"Decentralized stochastic optimization and gossip algorithms with compressed communication","volume-title":"Proc. Int. Conf. Mach. Learn.","volume":"97","author":"Koloskova"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2024.3403883"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2020.3044843"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3137010"},{"key":"ref36","first-page":"4447","article-title":"Sparsified SGD with memory","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"31","author":"Stich"},{"key":"ref37","first-page":"1709","article-title":"QSGD: Communication-efficient SGD via gradient quantization and encoding","volume":"30","author":"Alistarh","year":"2017","journal-title":"Proc. Adv. Neural Inf. Process. Syst."},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2024.111828"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2022.3172450"},{"key":"ref40","first-page":"7652","article-title":"Communication compression for decentralized training","volume":"31","author":"Tang","year":"2018","journal-title":"Proc. Adv. Neural Inf. Process. Syst."},{"key":"ref41","first-page":"34492","article-title":"Distributed online convex optimization with compressed communication","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"35","author":"Tu"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2023.111186"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2014.2363554"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/JSAIT.2020.2985917"},{"key":"ref45","first-page":"9324","article-title":"Quantized decentralized stochastic learning over directed graphs","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Taheri"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.4208\/jcm.1606-m2015-0452"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2020.2981762"}],"container-title":["IEEE Transactions on Neural Networks and Learning Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/5962385\/11475606\/11219346.pdf?arnumber=11219346","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T20:00:45Z","timestamp":1775592045000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11219346\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4]]},"references-count":47,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tnnls.2025.3622106","relation":{},"ISSN":["2162-237X","2162-2388"],"issn-type":[{"value":"2162-237X","type":"print"},{"value":"2162-2388","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4]]}}}