22 citations · 60 across the 14 of their papers we have counts for
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math.OC2017★ 22 cited
Universal gradient descent
Alexander Gasnikov
In this book we collect many different and useful facts around gradient descent method. First of all we consider gradient descent with inexact oracle. We build a general model of o…
math.OC2017★ 8 cited
Convex optimization in Hilbert space with applications to inverse problems
Alexander Gasnikov, Sergey Kabanikhin, Ahmed Mohammed +1
In this paper we propose accelerated gradient descent schemes for convex optimization problems in Hilbert space. We consider inexact oracle case.
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…