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20182026
most citedGeneralized Mirror Prox for Monotone Variational Inequalities: Universality and Inexact Oracle

15 citations · 54 across the 38 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.OC2024

On quasi-convex smooth optimization problems by a comparison oracle

A. V. Gasnikov, M. S. Alkousa, A. V. Lobanov +4

Frequently, when dealing with many machine learning models, optimization problems appear to be challenging due to a limited understanding of the constructions and characterizations…

math.OC2024★ 1 cited

Accelerated Bregman gradient methods for relatively smooth and relatively Lipschitz continuous minimization problems

O. S. Savchuk, M. S. Alkousa, A. S. Shushko +4

In this paper, we propose some accelerated methods for solving optimization problems under the condition of relatively smooth and relatively Lipschitz continuous functions with an…

math.OC2024

Mixed Newton Method for Optimization in Complex Spaces

Nikita Yudin, Roland Hildebrand, Sergey Bakhurin +5

In this paper, we modify and apply the recently introduced Mixed Newton Method, which is originally designed for minimizing real-valued functions of complex variables, to the minim…

math.OC2024

Universal methods for variational inequalities: deterministic and stochastic cases

Anton Klimza, Alexander Gasnikov, Fedor Stonyakin +1

In this paper, we propose universal proximal mirror methods to solve the variational inequality problem with Holder continuous operators in both deterministic and stochastic settin…

math.OC2024

Higher Degree Inexact Model for Optimization problems

Mohammad Alkousa, Fedor Stonyakin, Alexander Gasnikov +2

In this paper, it was proposed a new concept of the inexact higher degree -model of a function that is a generalization of the inexact -model, -oracle an…

math.OC2024

Optimal Convergence Rate for Mirror Descent Methods with special Time-Varying Step Sizes Rules

Mohammad Alkousa, Fedor Stonyakin, Asmaa Abdo +1

In this paper, the optimal convergence rate (where is the total number of iterations performed by the algorithm), without the presence of a logarithmic…