RAS MathematicsПрограммирование Programming and Computer Software

  • ISSN (Print) 0132-3474
  • ISSN (Online) 3034-5847

DECENTRALIZED CONDITIONAL GRADIENT METHOD ON TIME-VARIABLE GRAPHS

PII
10.31857/S0132347423060080-1
DOI
10.31857/S0132347423060080
Publication type
Status
Published
Authors
Volume/ Edition
Volume / Issue number 6
Pages
27-35
Abstract
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.
Keywords
Date of publication
01.11.2023
Year of publication
2023
Number of purchasers
0
Views
52

References

  1. 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. 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. 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. 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. 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. 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. 7. Ren Wei, and Randal W. Beard. Distributed consensus in multi-vehicle cooperative control. V. 27. № 2. London: Springer London, 2008.
  8. 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. 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. 10. Райгородский А.М. Модели случайных графов и их применения. Труды Московского физико-технического института, 2010.
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library