activity
20182026
most citedOn the Complexity of Approximating Wasserstein Barycenter

28 citations · 184 across the 34 of their papers we have counts for

collaborators
Showing 2020Show all

9 papers · 1 filter

math.OC2020★ 26 cited

Recent theoretical advances in decentralized distributed convex optimization

Eduard Gorbunov, Alexander Rogozin, Aleksandr Beznosikov +2

In the last few years, the theory of decentralized distributed convex optimization has made significant progress. The lower bounds on communications rounds and oracle calls have ap…

math.OC2020★ 1 cited

Parallel and Distributed algorithms for ML problems

Darina Dvinskikh, Alexander Gasnikov, Alexander Rogozin +1

In this paper we make a survey of modern parallel and distributed approaches to solve sum-type convex minimization problems come from ML applications.

math.OC2020★ 6 cited

Improved Complexity Bounds in Wasserstein Barycenter Problem

Darina Dvinskikh, Daniil Tiapkin

In this paper, we focus on computational aspects of the Wasserstein barycenter problem. We propose two algorithms to compute Wasserstein barycenters of discrete measures of siz…

math.OC2020

Accelerated and nonaccelerated stochastic gradient descent with inexact model

Darina Dvinskikh, Alexander Tyurin, Alexander Gasnikov +1

In this paper, we propose a new way to obtain optimal convergence rates for smooth stochastic (strong) convex optimization tasks. Our approach is based on results for optimization…

math.OC2020★ 13 cited

Accelerated meta-algorithm for convex optimization

Alexander Gasnikov, Darina Dvinskikh, Pavel Dvurechensky +5

We propose an accelerated meta-algorithm, which allows to obtain accelerated methods for convex unconstrained minimization in different settings. As an application of the general s…

math.OC2020

Oracle Complexity Separation in Convex Optimization

Anastasiya Ivanova, Evgeniya Vorontsova, Dmitry Pasechnyuk +4

Many convex optimization problems have structured objective function written as a sum of functions with different types of oracles (full gradient, coordinate derivative, stochastic…

math.OC2020★ 2 cited

Inexact Relative Smoothness and Strong Convexity for Optimization and Variational Inequalities by Inexact Model

Fedor Stonyakin, Alexander Tyurin, Alexander Gasnikov +7

In this paper, we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems, and vari…

math.OC2020★ 2 cited

Stochastic Approximation versus Sample Average Approximation for population Wasserstein barycenters

Darina Dvinskikh

In the machine learning and optimization community, there are two main approaches for the convex risk minimization problem, namely, the Stochastic Approximation (SA) and the Sample…

math.OC2020★ 2 cited

Accelerated and nonaccelerated stochastic gradient descent with model conception

Darina Dvinskikh, Alexander Tyurin, Alexander Gasnikov +1

In this paper, we describe a new way to get convergence rates for optimal methods in smooth (strongly) convex optimization tasks. Our approach is based on results for tasks where g…