15 citations · 31 across the 13 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…
One Mirror Descent Algorithm for Convex Constrained Optimization Problems with non-standard growth properties
Fedor S. Stonyakin, Alexander A. Titov
The paper is devoted to a special Mirror Descent algorithm for problems of convex minimization with functional constraints. The objective function may not satisfy the Lipschitz con…