{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,2]],"date-time":"2025-04-02T04:18:52Z","timestamp":1743567532555,"version":"3.40.3"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T00:00:00Z","timestamp":1740960000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T00:00:00Z","timestamp":1740960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"name":"Project of Southwest University Graduate Student Research and Innovation","award":["SWUB23053"],"award-info":[{"award-number":["SWUB23053"]}]},{"name":"Project of Chongqing Municipal Education Commission Science and Technology Research","award":["KJZD-K202200203"],"award-info":[{"award-number":["KJZD-K202200203"]}]},{"name":"Project of Chongqing Ecological Environment Big Data Application Center","award":["CQHJDSJYY-2023-013"],"award-info":[{"award-number":["CQHJDSJYY-2023-013"]}]},{"name":"Projects of Chongqing Science and Technology Bureau","award":["cstc2019jscx-gksbX0103"],"award-info":[{"award-number":["cstc2019jscx-gksbX0103"]}]},{"DOI":"10.13039\/501100017594","name":"Medical Science and Technology Project of Zhejiang Province","doi-asserted-by":"publisher","award":["cstc2020ngzx0010"],"award-info":[{"award-number":["cstc2020ngzx0010"]}],"id":[{"id":"10.13039\/501100017594","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Complex Intell. Syst."],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1007\/s40747-025-01818-8","type":"journal-article","created":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T02:13:51Z","timestamp":1740968031000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Decentralized non-convex online optimization with adaptive momentum estimation and quantized communication"],"prefix":"10.1007","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9361-556X","authenticated-orcid":false,"given":"Yunshan","family":"Lv","sequence":"first","affiliation":[]},{"given":"Hailing","family":"Xiong","sequence":"additional","affiliation":[]},{"given":"Fuqing","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Shengying","family":"Dong","sequence":"additional","affiliation":[]},{"given":"Xiangguang","family":"Dai","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,3,3]]},"reference":[{"issue":"3","key":"1818_CR1","doi-asserted-by":"publisher","first-page":"3469","DOI":"10.1007\/s40747-022-00918-z","volume":"9","author":"M-C Yuen","year":"2023","unstructured":"Yuen M-C, Ng S-C, Leung M-F, Che H (2023) Correction to: A metaheuristic-based framework for index tracking with practical constraints. Complex Intell Syst 9(3):3469\u20133469","journal-title":"Complex Intell Syst"},{"issue":"3","key":"1818_CR2","doi-asserted-by":"publisher","first-page":"1102","DOI":"10.1109\/TAC.2020.2994024","volume":"66","author":"H Li","year":"2021","unstructured":"Li H, L\u00fc Q, Chen G, Huang T, Dong Z (2021) Distributed constrained optimization over unbalanced directed networks using asynchronous broadcast-based algorithm. IEEE Trans Autom Control 66(3):1102\u20131115","journal-title":"IEEE Trans Autom Control"},{"key":"1818_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s12293-023-00388-x","volume":"15","author":"Z Wang","year":"2023","unstructured":"Wang Z, Leung M-F, Che H, Coello CA (2023) Thematic issue on advances in analysis and application of multi-objective memetic optimization algorithms. Memet Comput 15:1\u20132","journal-title":"Memet Comput"},{"key":"1818_CR4","doi-asserted-by":"publisher","DOI":"10.1109\/TCE.2025.3535149","author":"K Zhang","year":"2025","unstructured":"Zhang K, L\u00fc Q, Liao X, Li H, Huang T (2025) Privacy-preserving distributed accelerated resource allocation in general directed networks. IEEE Trans Consum Electron. https:\/\/doi.org\/10.1109\/TCE.2025.3535149","journal-title":"IEEE Trans Consum Electron"},{"issue":"1","key":"1818_CR5","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1109\/TCNS.2016.2614100","volume":"5","author":"E Nozari","year":"2018","unstructured":"Nozari E, Tallapragada P, Cortes J (2018) Differentially private distributed convex optimization via functional perturbation. IEEE Trans Control Netw Syst 5(1):395\u2013408","journal-title":"IEEE Trans Control Netw Syst"},{"key":"1818_CR6","doi-asserted-by":"publisher","first-page":"5071","DOI":"10.1007\/s40747-024-01436-w","volume":"10","author":"X Cai","year":"2024","unstructured":"Cai X, Gao B, Nan X (2024) A collective neurodynamic approach to distributed resource allocation with event-triggered communication. Complex Intell Syst 10:5071\u20135081","journal-title":"Complex Intell Syst"},{"issue":"1","key":"1818_CR7","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1109\/TPDS.2022.3212424","volume":"34","author":"Q L\u00fc","year":"2023","unstructured":"L\u00fc Q, Liao X, Deng S, Li H (2023) Asynchronous algorithms for decentralized resource allocation over directed networks. IEEE Trans Parallel Distrib Syst 34(1):16\u201332","journal-title":"IEEE Trans Parallel Distrib Syst"},{"key":"1818_CR8","doi-asserted-by":"publisher","first-page":"15818","DOI":"10.1007\/s10489-022-04339-w","volume":"53","author":"X Yang","year":"2022","unstructured":"Yang X, Che H, Leung M-F, Liu C (2022) Adaptive graph nonnegative matrix factorization with the self-paced regularization. Appl Intell 53:15818\u201315835","journal-title":"Appl Intell"},{"key":"1818_CR9","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1109\/TICPS.2023.3291667","volume":"1","author":"Q L\u00fc","year":"2023","unstructured":"L\u00fc Q, Zhang K, Deng S, Li Y, Li H, Gao S, Cheng Y (2023) Privacy-preserving decentralized dual averaging for online optimization over directed networks. IEEE Trans Ind Cyber Phys Syst 1:79\u201391","journal-title":"IEEE Trans Ind Cyber Phys Syst"},{"key":"1818_CR10","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1007\/s40747-023-01178-1","volume":"10","author":"X Meng","year":"2023","unstructured":"Meng X, Sun J, Liu Q, Chi G (2023) A discrete-time distributed optimization algorithm for cooperative transportation of multi-robot system. Complex Intell Syst 10:343\u2013355","journal-title":"Complex Intell Syst"},{"issue":"3","key":"1818_CR11","doi-asserted-by":"publisher","first-page":"1383","DOI":"10.1109\/TCNS.2021.3065653","volume":"8","author":"Y Niu","year":"2021","unstructured":"Niu Y, Li H, Wang Z, L\u00fc Q, Xia D, Ji L (2021) A distributed stochastic proximal-gradient algorithm for composite optimization. IEEE Trans Control Netw Syst 8(3):1383\u20131393","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"2","key":"1818_CR12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2024.107492","volume":"362","author":"Q Zhou","year":"2025","unstructured":"Zhou Q, Zhang K, Zhou H, L\u00fc Q, Liao X, Li H (2025) Distributed aggregative optimization over directed networks with column-stochasticity. J Frankl Inst 362(2):107492","journal-title":"J Frankl Inst"},{"issue":"1","key":"1818_CR13","doi-asserted-by":"publisher","first-page":"1927","DOI":"10.1109\/TSTE.2021.3073510","volume":"12","author":"W Ananduta","year":"2021","unstructured":"Ananduta W, Ocampo-Martinez C, Nedic A (2021) A distributed augmented lagrangian method over stochastic networks for economic dispatch of large-scale energy systems. IEEE Trans Sustain Energy 12(1):1927\u20131934","journal-title":"IEEE Trans Sustain Energy"},{"key":"1818_CR14","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/s40747-022-00785-8","volume":"9","author":"J Zhu","year":"2023","unstructured":"Zhu J, Wang X, Zhang M, Liu M, Wu Q (2023) A distributed gradient algorithm based on randomized block-coordinate and projection-free over networks. Complex Intell Syst 9:267\u2013283","journal-title":"Complex Intell Syst"},{"issue":"6","key":"1818_CR15","doi-asserted-by":"publisher","first-page":"3224","DOI":"10.1109\/TCYB.2020.2973221","volume":"51","author":"Q L\u00fc","year":"2021","unstructured":"L\u00fc Q, Liao X, Xiang T, Li H, Huang T (2021) Privacy masking stochastic subgradient-push algorithm for distributed online optimization. IEEE Trans Cybern 51(6):3224\u20133237","journal-title":"IEEE Trans Cybern"},{"issue":"3","key":"1818_CR16","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1109\/TETCI.2018.2880771","volume":"5","author":"C Xu","year":"2021","unstructured":"Xu C, Zhu J, Wu DO (2021) Decentralized online learning methods based on weight-balancing over time-varying digraphs. IEEE Trans Emerg Top Comput Intell 5(3):394\u2013406","journal-title":"IEEE Trans Emerg Top Comput Intell"},{"key":"1818_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-19-8559-1","volume-title":"Distributed optimization in networked systems: algorithms and applications. Wireless networks","author":"Q L\u00fc","year":"2023","unstructured":"L\u00fc Q, Liao X, Li H, Deng S, Gao S (2023) Distributed optimization in networked systems: algorithms and applications. Wireless networks. Springer, Singapore"},{"key":"1818_CR18","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1016\/j.ins.2021.10.003","volume":"581","author":"J Li","year":"2021","unstructured":"Li J, Zhu X, Wu Z, Huang T (2021) Online distributed dual averaging algorithm for multi-agent bandit optimization over time-varying general directed networks. Inf Sci 581:678\u2013693","journal-title":"Inf Sci"},{"issue":"2","key":"1818_CR19","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1109\/JSTSP.2013.2246766","volume":"7","author":"RL Cavalcante","year":"2013","unstructured":"Cavalcante RL, Stanczak S (2013) A distributed subgradient method for dynamic convex optimization problems under noisy information exchange. IEEE J Sel Top Signal Process 7(2):243\u2013256","journal-title":"IEEE J Sel Top Signal Process"},{"issue":"15","key":"1818_CR20","doi-asserted-by":"publisher","first-page":"3924","DOI":"10.1109\/TSP.2014.2331615","volume":"62","author":"ZJ Towfic","year":"2014","unstructured":"Towfic ZJ, Sayed AH (2014) Adaptive penalty-based distributed stochastic convex optimization. IEEE Trans Signal Process 62(15):3924\u20133938","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"1818_CR21","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1109\/TNSE.2014.2363554","volume":"1","author":"D Mateos-Nunez","year":"2014","unstructured":"Mateos-Nunez D, Cortes J (2014) Distributed online convex optimization over jointly connected digraphs. IEEE Trans Netw Sci Eng 1(1):23\u201337","journal-title":"IEEE Trans Netw Sci Eng"},{"issue":"3","key":"1818_CR22","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1109\/TCNS.2015.2505149","volume":"4","author":"M Akbari","year":"2017","unstructured":"Akbari M, Gharesifard B, Linder T (2017) Distributed online convex optimization on time-varying directed graphs. IEEE Trans Control Netw Syst 4(3):417\u2013428","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"2023","key":"1818_CR23","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2023.100904","volume":"56","author":"X Li","year":"2023","unstructured":"Li X, Xie L, Li N (2023) A survey on distributed online optimization and online games. Ann Rev Control 56(2023):100904","journal-title":"Ann Rev Control"},{"issue":"11","key":"1818_CR24","doi-asserted-by":"publisher","first-page":"3545","DOI":"10.1109\/TAC.2016.2525928","volume":"61","author":"S Hosseini","year":"2016","unstructured":"Hosseini S, Chapman A, Mesbahi M (2016) Online distributed convex optimization on dynamic networks. IEEE Trans Autom Control 61(11):3545\u20133550","journal-title":"IEEE Trans Autom Control"},{"key":"1818_CR25","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1109\/TSP.2020.3044843","volume":"69","author":"X Cao","year":"2020","unstructured":"Cao X, Basar T (2020) Decentralized online convex optimization with event-triggered communications. IEEE Trans Signal Process 69:284\u2013299","journal-title":"IEEE Trans Signal Process"},{"issue":"7","key":"1818_CR26","doi-asserted-by":"publisher","first-page":"2019","DOI":"10.1109\/TAC.2017.2760284","volume":"63","author":"X Zhou","year":"2018","unstructured":"Zhou X, Anese E, Chen L, Simonrtto A (2018) An incentive-based online optimization framework for distribution grids. IEEE Trans Autom Control 63(7):2019\u20132031","journal-title":"IEEE Trans Autom Control"},{"key":"1818_CR27","doi-asserted-by":"crossref","unstructured":"Lee S, Zavlanos MM (2016) Distributed primal-dual methods for online constrained optimization. In: Proceedings of American Control Conference. Boston, USA, pp 7171\u20137176","DOI":"10.1109\/ACC.2016.7526804"},{"issue":"8","key":"1818_CR28","doi-asserted-by":"publisher","first-page":"3575","DOI":"10.1109\/TAC.2020.3021011","volume":"66","author":"X Li","year":"2021","unstructured":"Li X, Yi X, Xie L (2021) Distributed online optimization for multi-agent networks with coupled inequality constraints. IEEE Trans Autom Control 66(8):3575\u20133591","journal-title":"IEEE Trans Autom Control"},{"issue":"3","key":"1818_CR29","doi-asserted-by":"publisher","first-page":"714","DOI":"10.1109\/TAC.2017.2743462","volume":"63","author":"S Shahrampour","year":"2018","unstructured":"Shahrampour S, Jadbabaie A (2018) Distributed online optimization in dynamic environments using mirror descent. IEEE Trans Autom Control 63(3):714\u2013725","journal-title":"IEEE Trans Autom Control"},{"issue":"11","key":"1818_CR30","doi-asserted-by":"publisher","first-page":"5065","DOI":"10.1109\/TAC.2020.3033712","volume":"66","author":"R Dixit","year":"2021","unstructured":"Dixit R, Bedi AS, Rajawat K (2021) Online learning over dynamic graphs via distributed proximal gradient algorithm. IEEE Trans Autom Control 66(11):5065\u20135079","journal-title":"IEEE Trans Autom Control"},{"issue":"19","key":"1818_CR31","doi-asserted-by":"publisher","first-page":"5149","DOI":"10.1109\/TSP.2015.2449255","volume":"63","author":"A Koppel","year":"2015","unstructured":"Koppel A, Jakubiec F, Ribeiro A (2015) A saddle point algorithm for networked online convex optimization. IEEE Trans Signal Process 63(19):5149\u20135164","journal-title":"IEEE Trans Signal Process"},{"issue":"7","key":"1818_CR32","doi-asserted-by":"publisher","first-page":"2019","DOI":"10.1109\/TAC.2017.2760284","volume":"63","author":"X Zhou","year":"2018","unstructured":"Zhou X, Anese E, Chen L, Simonrtto A (2018) An incentive-based online optimization framework for distribution grids. IEEE Trans Autom Control 63(7):2019\u20132031","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"1818_CR33","doi-asserted-by":"publisher","first-page":"2263","DOI":"10.1109\/TCYB.2020.2999309","volume":"52","author":"C Wang","year":"2022","unstructured":"Wang C, Xu S, Yuan D, Zhang B, Zhang Z (2022) Push-sum distributed online optimization with bandit feedback. IEEE Trans Cybern 52(4):2263\u20132273","journal-title":"IEEE Trans Cybern"},{"key":"1818_CR34","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1109\/TSP.2020.2964200","volume":"68","author":"X Yi","year":"2020","unstructured":"Yi X, Li X, Xie L, Johansson KH (2020) Distributed online convex optimization with time-varying coupled inequality constraints. IEEE Trans Signal Process 68:731\u2013746","journal-title":"IEEE Trans Signal Process"},{"issue":"10","key":"1818_CR35","doi-asserted-by":"publisher","first-page":"1943","DOI":"10.1177\/01423312231225782","volume":"46","author":"Y Tao","year":"2024","unstructured":"Tao Y, Tao H, Zhuang Z, Stojanovic V, Paszke W (2024) Quantized iterative learning control of communication-constrained systems with encoding and decoding mechanism. Trans Inst Meas Control 46(10):1943\u20131954","journal-title":"Trans Inst Meas Control"},{"key":"1818_CR36","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2024.107945","volume":"132","author":"X Song","year":"2024","unstructured":"Song X, Peng Z, Song S, Stojanovic V (2024) Anti-disturbance state estimation for PDT-switched RDNNs utilizing time-sampling and space-splitting measurements. Commun Nonlinear Sci Numer Simul 132:107945","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"1818_CR37","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2023.126498","volume":"550","author":"X Song","year":"2023","unstructured":"Song X, Wu N, Song S, Zhang Y, Stojanovic V (2023) Bipartite synchronization for cooperative-competitive neural networks with reaction-diffusion terms via dual event-triggered mechanism. Neurocomputing 550:126498","journal-title":"Neurocomputing"},{"key":"1818_CR38","doi-asserted-by":"publisher","first-page":"6065","DOI":"10.1109\/TSP.2022.3223214","volume":"70","author":"P Nazari","year":"2022","unstructured":"Nazari P, Tarzanagh DA, Michailidis G (2022) DADAM: a consensus-based distributed adaptive gradient method for online optimization. IEEE Trans Signal Process 70:6065\u20136079","journal-title":"IEEE Trans Signal Process"},{"issue":"10","key":"1818_CR39","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-020-3275-3","volume":"65","author":"M Xiong","year":"2022","unstructured":"Xiong M, Zhang B, Yuan D, Xu S (2022) Distributed quantized mirror descent for strongly convex optimization over time-varying directed graph. Sci China Inf Sci 65(10):202202","journal-title":"Sci China Inf Sci"},{"key":"1818_CR40","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110590","volume":"146","author":"D Yuan","year":"2022","unstructured":"Yuan D, Zhang B, Ho DW, Zheng WX, Xu S (2022) Distributed online bandit optimization under random quantization. Automatica 146:110590","journal-title":"Automatica"},{"key":"1818_CR41","doi-asserted-by":"publisher","first-page":"1837","DOI":"10.1109\/LCSYS.2023.3282021","volume":"7","author":"W Zhang","year":"2023","unstructured":"Zhang W, Shi Y, Zhang B, Lu K, Yuan D (2023) Quantized distributed online projection-free convex optimization. IEEE Control Syst Lett 7:1837\u20131842","journal-title":"IEEE Control Syst Lett"},{"issue":"1","key":"1818_CR42","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1109\/TCNS.2020.3024321","volume":"8","author":"Y Tang","year":"2021","unstructured":"Tang Y, Zhang J, Li N (2021) Distributed zero-order algorithms for nonconvex multiagent optimization. IEEE Trans Control Netw Syst 8(1):269\u2013281","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"4","key":"1818_CR43","doi-asserted-by":"publisher","first-page":"1796","DOI":"10.1109\/TCNS.2023.3242043","volume":"10","author":"V Kungurtsev","year":"2023","unstructured":"Kungurtsev V, Morafah M, Javidi T, Scutari G (2023) Decentralized asynchronous non-convex stochastic optimization on directed graphs. IEEE Trans Control Netw Syst 10(4):1796\u20131804","journal-title":"IEEE Trans Control Netw Syst"},{"key":"1818_CR44","first-page":"9793","volume":"31","author":"M Zaheer","year":"2018","unstructured":"Zaheer M, Reddi S, Sachan D, Kale S, Kumar S (2018) Adaptive methods for nonconvex optimization. Adv Neural Inf Process Syst 31:9793\u20139803","journal-title":"Adv Neural Inf Process Syst"},{"issue":"9","key":"1818_CR45","doi-asserted-by":"publisher","first-page":"6333","DOI":"10.1109\/TAC.2024.3380710","volume":"69","author":"D Han","year":"2024","unstructured":"Han D, Liu K, Lin Y, Xia Y (2024) Distributed adaptive gradient algorithm with gradient tracking for stochastic non-convex optimization. IEEE Trans Autom Control 69(9):6333\u20136340","journal-title":"IEEE Trans Autom Control"},{"issue":"3","key":"1818_CR46","doi-asserted-by":"publisher","first-page":"1436","DOI":"10.1109\/TCNS.2022.3232519","volume":"10","author":"G Carnevale","year":"2023","unstructured":"Carnevale G, Farina F, Notarnicola I, Notarstefano G (2023) GTAdam: gradient tracking with adaptive momentum for distributed online optimization. IEEE Trans Control Netw Syst 10(3):1436\u20131448","journal-title":"IEEE Trans Control Netw Syst"},{"key":"1818_CR47","doi-asserted-by":"crossref","unstructured":"Pang Y, Hu G (2019) Randomized gradient-free distributed online optimization with time-varying cost functions. In: 2019 IEEE conference on decision and control (CDC). IEEE, pp 4910\u20134915","DOI":"10.1109\/CDC40024.2019.9029248"},{"key":"1818_CR48","doi-asserted-by":"crossref","unstructured":"Cao X, Basar T (2019) Decentralized online convex optimization based on signs of relative states. Automatica 129:94\u2013104","DOI":"10.1016\/j.automatica.2021.109676"},{"key":"1818_CR49","unstructured":"Hazan E, Singh K, Zhang C (2017) Efficient regret minimization in non-convex games. In: Proceedings of the international conference on machine learning. PMLR, pp 1433\u20131441"},{"key":"1818_CR50","unstructured":"Koloskova A, Stich S, Jaggi M (2019) Decentralized stochastic optimization and gossip algorithms with compressed communication. In: Proceedings of the international conference on machine learning. PMLR, pp 3478\u20133487"},{"key":"1818_CR51","doi-asserted-by":"publisher","first-page":"4047","DOI":"10.1109\/TSP.2022.3194369","volume":"7","author":"Y Xiong","year":"2022","unstructured":"Xiong Y, Li X, You K, Wu L (2022) Distributed online optimization in time-varying unbalanced networks without explicit subgradients. IEEE Trans Signal Process 7:4047\u20134060","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"1818_CR52","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1109\/TAC.2008.2009515","volume":"54","author":"A Nedic","year":"2009","unstructured":"Nedic A, Ozdaglar A (2009) Distributed subgradient methods for multi-agent optimization. IEEE Trans Autom Control 54(1):48\u201361","journal-title":"IEEE Trans Autom Control"},{"key":"1818_CR53","doi-asserted-by":"publisher","unstructured":"Li Y, Chen C, Zhang K, Li D, L\u00fc Q, Deng S, Li H (2025) Q-DADAM: a quantized distributed online optimization algorithm with adaptive momentum. IEEE Trans Control Netw Syst. https:\/\/doi.org\/10.1109\/TCNS.2025.3526555","DOI":"10.1109\/TCNS.2025.3526555"},{"key":"1818_CR54","doi-asserted-by":"crossref","unstructured":"Zhang K, L\u00fc Q, Liao X, Li H (2024) Zeroth-order decentralized dual averaging for online optimization with privacy consideration. IEEE Trans Emerg Top Comput Intell 8(6):3754-3766","DOI":"10.1109\/TETCI.2024.3393362"}],"container-title":["Complex & Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40747-025-01818-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40747-025-01818-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40747-025-01818-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T13:10:51Z","timestamp":1743513051000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40747-025-01818-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,3]]},"references-count":54,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["1818"],"URL":"https:\/\/doi.org\/10.1007\/s40747-025-01818-8","relation":{},"ISSN":["2199-4536","2198-6053"],"issn-type":[{"type":"print","value":"2199-4536"},{"type":"electronic","value":"2198-6053"}],"subject":[],"published":{"date-parts":[[2025,3,3]]},"assertion":[{"value":"28 May 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 February 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 March 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript. To the best of our knowledge, the named authors have no Conflict of interest, financial or otherwise.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"197"}}