activity
20142018
most citedGradient-free prox-methods with inexact oracle for stochastic convex optimization problems on a simplex

9 citations · 25 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2018

Algorithmic models of human behavior and stochastic optimization

Maktagali Bektemessov, Alexander Gasnikov, Anastasia Lagunovskaya +1

In this article we describe the solutions of three problems posed at different time by Yurii Nesterov. First problem is 'Mage vs Experts': Assume that we live in some enviroment th…

math.OC2017

Parallel algorithms and probability of large deviation for stochastic optimization problems

Pavel Dvurechensky, Alexander Gasnikov, Anastasia Lagunovskaya

We consider convex stochastic optimization problems under different assumptions on the properties of available stochastic subgradient. It is known that, if the value of the objecti…

math.OC2017★ 7 cited

Gradient-free two-points optimal method for non smooth stochastic convex optimization problem with additional small noise

Anastasia Bayandina, Alexander Gasnikov, Fariman Guliev +1

Using double-smoothing technique and stochastic mirror descent with inexact oracle we built an optimal algorithm (up to a multiplicative factor) for two-points gradient-free non-sm…

math.OC2017★ 5 cited

Universal similar triangulars method for searching equilibriums in traffic flow distribution models

Dilyara Baimurzina, Alexander Gasnikov, Evgenia Gasnikova +4

We describe how primal-dual version of Nesterov's Universal Method (with one projection) can be applied to solve the dual problem for the problem of searching equilibrium traffic f…

math.OC2015★ 1 cited

On the relationship between imitative logit dynamics in the population game theory and mirror descent method in the online optimization using the example of the Shortest Path Problem

Alexander Gasnikov, Anastasia Lagunovskaya, Larisa Morozova

In this paper we describe how imitative logit dynamic (rather popular in population games theory) can be interpreted in terms of mirror descent method (well known in convex optimiz…

math.OC2015★ 3 cited

Nonlinear stochastic multiarmed bandit problems with inexact oracle

Alexander Gasnikov, Ekaterina Krymova, Anastasia Lagunovskaya +2

In the paper we consider one point and two point multiarmed bamdit problems. In other words we consider the online stochastic convex optimization problems with oracle that return t…

math.OC2015

Efficient calculation of stochastic equilibriums in the Beckmann's and stable dynamic models

Alexander Gasnikov, Evgenia Gasnikova, Pavel Dvurechensky +2

We propose composite approache to the special sum-type convex optimization problem with affine restriction and special entropy type regularization. Since the fuctional has a penalt…

math.OC2014★ 9 cited

Gradient-free prox-methods with inexact oracle for stochastic convex optimization problems on a simplex

Alexander Gasnikov, Anastasia Lagunovskaya, Ilnura Usmanova +1

In the paper we show that euclidian randomization in some situations (i.e. for gradient-free method on a simplex) can be as good as the randomization on the unit sphere in 1-norm.…