Accelerated Gradient-Free Optimization Methods with a Non-Euclidean Proximal Operator
- Авторлар: Vorontsova E.A.1,2, Gasnikov A.V.3,4,5, Gorbunov E.A.3, Dvurechenskii P.E.6
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Мекемелер:
- Far Eastern Federal University
- Université Grenoble Alps
- Moscow Institute of Physics and Technology
- National Research University Higher School of Economics
- Caucasus Mathematical Center
- Weierstrass Institute for Applied Analysis and Stochastics
- Шығарылым: Том 80, № 8 (2019)
- Беттер: 1487-1501
- Бөлім: Optimization, System Analysis, and Operations Research
- URL: https://journals.rcsi.science/0005-1179/article/view/151140
- DOI: https://doi.org/10.1134/S0005117919080095
- ID: 151140
Дәйексөз келтіру
Аннотация
We propose an accelerated gradient-free method with a non-Euclidean proximal operator associated with the p-norm (1 ⩽ p ⩽ 2). We obtain estimates for the rate of convergence of the method under low noise arising in the calculation of the function value. We present the results of computational experiments.
Авторлар туралы
E. Vorontsova
Far Eastern Federal University; Université Grenoble Alps
Хат алмасуға жауапты Автор.
Email: vorontsovaea@gmail.com
Ресей, Vladivostok; Grenoble
A. Gasnikov
Moscow Institute of Physics and Technology; National Research University Higher School of Economics; Caucasus Mathematical Center
Хат алмасуға жауапты Автор.
Email: gasnikov@yandex.ru
Ресей, Moscow; Moscow; Maikop, Republic of Adygea
E. Gorbunov
Moscow Institute of Physics and Technology
Хат алмасуға жауапты Автор.
Email: ed-gorbunov@yandex.ru
Ресей, Moscow
P. Dvurechenskii
Weierstrass Institute for Applied Analysis and Stochastics
Хат алмасуға жауапты Автор.
Email: pavel.dvurechensky@gmail.com
Германия, Berlin
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