15 citations · 54 across the 38 of their papers we have counts for
6 papers · 1 filter
Subgradient methods for non-smooth optimization problems with some relaxation of sharp minimum
S. S. Ablaev, D. V. Makarenko, F. S. Stonyakin +2
In this paper we propose a generalized condition for a sharp minimum, somewhat similar to the inexact oracle proposed recently by Devolder-Glineur-Nesterov. The proposed approach m…
Gradient-Type Methods for Optimization Problems with Polyak-Łojasiewicz Condition: Early Stopping and Adaptivity to Inexactness Parameter
Ilya A. Kuruzov, Fedor S. Stonyakin, Mohammad S. Alkousa
Due to its applications in many different places in machine learning and other connected engineering applications, the problem of minimization of a smooth function that satisfies t…
Gradient-Type Methods For Decentralized Optimization Problems With Polyak-Łojasiewicz Condition Over Time-Varying Networks
Ilya Kuruzov, Mohammad Alkousa, Fedor Stonyakin +1
This paper focuses on the decentralized optimization (minimization and saddle point) problems with objective functions that satisfy Polyak-Łojasiewicz condition (PL-condition). The…
Some Adaptive First-order Methods for Variational Inequalities with Relatively Strongly Monotone Operators and Generalized Smoothness
A. A. Titov, S. S. Ablaev, M. S. Alkousa +2
In this paper, we introduce some adaptive methods for solving variational inequalities with relatively strongly monotone operators. Firstly, we focus on the modification of the rec…
Optimization in complex spaces with the Mixed Newton Method
Sergey Bakhurin, Roland Hildebrand, Mohammad Alkousa +2
We propose a second-order method for unconditional minimization of functions of complex arguments. We call it the Mixed Newton Method due to the use of the mixed Wirtinger d…
An Approach for Non-Convex Uniformly Concave Structured Saddle Point Problem
Mohammad Alkousa, Alexander Gasnikov, Pavel Dvurechensky +2
Recently, saddle point problems have received much attention due to their powerful modeling capability for a lot of problems from diverse domains. Applications of these problems oc…