Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 85–88
DOI: https://doi.org/10.31857/S268695432003008X (Mi danma78) 		 
This article is cited in 1 scientific paper (total in 1 paper)

INFORMATICS

Accelerated gradient sliding for minimizing a sum of functions

D. M. Dvinskikha, S. S. Omelchenkob, A. V. Gasnikova, A. I. Turinc

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russian Federation
c National Research University "Higher School of Economics", Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S268695432003008X
Abstract: We propose a new way of justifying the accelerated gradient sliding of G. Lan, which allows one to extend the sliding technique to a combination of an accelerated gradient method with an accelerated variance reduction method. New optimal estimates for the solution of the problem of minimizing a sum of smooth strongly convex functions with a smooth regularizer are obtained.
Keywords: accelerated gradient sliding of G. Lan, accelerated variance reduction methods, smooth strongly convex functions.
Funding agency Grant number
Russian Foundation for Basic Research 18–31–20005 мол_а_вед
19–31–90062 Аспиранты
Ministry of Education and Science of the Russian Federation 075-00337-20-03
This work was supported by the Russian Foundation for Basic Research, project no. 18-31-20005 mol_a_ved (Section 1) and project no. 19-31-90062 Graduate students (Section 2). Dvinskikh acknowledges the support of the Ministry of Science and Higher Education of the Russian Federation, state assignment no. 075-00337-20-03.
Presented: Yu. G. Evtushenko
Received: 20.03.2020
Revised: 26.03.2020
Accepted: 03.04.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 244–246
DOI: https://doi.org/10.1134/S1064562420030084
Bibliographic databases:
Document Type: Article
UDC: 519.853.62
Language: Russian
Citation: D. M. Dvinskikh, S. S. Omelchenko, A. V. Gasnikov, A. I. Turin, “Accelerated gradient sliding for minimizing a sum of functions”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 85–88; Dokl. Math., 101:3 (2020), 244–246
Citation in format AMSBIB
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\by D.~M.~Dvinskikh, S.~S.~Omelchenko, A.~V.~Gasnikov, A.~I.~Turin
\paper Accelerated gradient sliding for minimizing a sum of functions
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 492
\pages 85--88
\mathnet{http://mi.mathnet.ru/danma78}
\crossref{https://doi.org/10.31857/S268695432003008X}
\zmath{https://zbmath.org/?q=an:1480.90193}
\elib{https://elibrary.ru/item.asp?id=42930025}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 3
\pages 244--246
\crossref{https://doi.org/10.1134/S1064562420030084}
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