DECENTRALIZED CONDITIONAL GRADIENT METHOD ON TIME-VARIABLE GRAPHS

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅存取

详细

In this paper, we consider a generalization of the decentralized Frank-Wulff algorithm for network time variables, study the convergence properties of the algorithm, and carry out the corresponding numerical experiments. The changing network is modeled as a deterministic or stochastic sequence of graphs.

作者简介

R. Vedernikov

Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: vedernikov.ra@phystech.edu
Russia, 141701, Moscow region, Dolgoprudny, Institutskiy per., 9

A. Rogozin

Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: aleksandr.rogozin@phystech.edu
Russia, 141701, Moscow region, Dolgoprudny, Institutskiy per., 9

A. Gasnikov

Institute for Information Transmission Problems of the RAS (Kharkevich Institute)
; Caucasian Mathematical Center of the Adyghe State University

编辑信件的主要联系方式.
Email: gasnikov@yandex.ru
Russia, 127051, Moscow, Bolshoi Karetny lane, 19, build. 1; Republic of Adygea, 385016, Maykop, st. Pervomaiskaya, 208

参考

  1. Braun G., Carderera A., Combettes C.W. Hassani H., Karbasi A. Mokhtari A., Pokutta S. arXiv (2022) https://arxiv.org/pdf/2211.14103.pdf
  2. Левитин Е.С., Поляк Б.Т. Методы минимизации при наличии ограничений. Журнал вычислительной математики и математической физики 6.5. 1966. P. 787–823.
  3. Nedic Angelia. Distributed gradient methods for convex machine learning problems in networks: Distributed optimization. IEEE Signal Processing Magazine 37.3. 2020. P. 92–101.
  4. Forero Pedro A., Alfonso Cano, and Georgios B. Giannakis. Consensus-based distributed linear support vector machines. Proceedings of the 9th ACM/IEEE International Conference on Information Processing in Sensor Networks. 2010.
  5. Gan Lingwen, Ufuk Topcu, and Steven H. Low. Optimal decentralized protocol for electric vehicle charging. IEEE Transactions on Power Systems 28.2. 2012. P. 940–951.
  6. Ram Sundhar Srinivasan, Venugopal V. Veeravalli, and Angelia Nedic. Distributed non-autonomous power control through distributed convex optimization. IEEE INFOCOM 2009. IEEE, 2009.
  7. Ren Wei, and Randal W. Beard. Distributed consensus in multi-vehicle cooperative control. V. 27. № 2. London: Springer London, 2008.
  8. Rogozin A., Gasnikov A., Beznosikov A., Kovalev D. Decentralized convex optimization over time-varying graphs: a survey. arXiv (2022) https://arxiv.org/pdf/2210.09719.pdf
  9. Wai Hoi-To et al. Decentralized Frank–Wolfe algorithm for convex and nonconvex problems. IEEE Transactions on Automatic Control 62.11. 2017. P. 5522–5537.
  10. Райгородский А.М. Модели случайных графов и их применения. Труды Московского физико-технического института, 2010.

补充文件

附件文件
动作
1. JATS XML
2.

下载 (335KB)
3.

下载 (172KB)

版权所有 © Р.А. Ведерников, А.В. Рогозин, А.В. Гасников, 2023

##common.cookie##