15 citations · 54 across the 38 of their papers we have counts for
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On Some Adaptive Mirror Descent Algorithms for Convex and Strongly Convex Optimization Problems with Functional Constraints
F. S. Stonyakin, M . S. Alkousa, A. A. Titov
In this paper some adaptive mirror descent algorithms for problems of minimization convex objective functional with several convex Lipschitz (generally, non-smooth) functional cons…
Mirror Descent and Constrained Online Optimization Problems
Alexander Titov, Fedor Stonyakin, Alexander Gasnikov +1
We consider the following class of online optimization problems with functional constraints. Assume, that a finite set of convex Lipschitz-continuous non-smooth functionals are giv…
Generalized Mirror Prox for Monotone Variational Inequalities: Universality and Inexact Oracle
Fedor Stonyakin, Alexander Gasnikov, Pavel Dvurechensky +2
We introduce an inexact oracle model for variational inequalities (VI) with monotone operator, propose a numerical method which solves such VI's and analyze its convergence rate. A…
Adaptive algorithms for mirror descent in convex programming problems with Lipschitz constraints
Fedor S. Stonyakin, Mohammad S. Alkousa, Alexey N. Stepanov +1
The paper is devoted to new modifications of recently proposed adaptive methods of Mirror Descent for convex minimization problems in the case of several convex functional constrai…