activity
20172026
most citedSolving strongly convex-concave composite saddle point problems with a small dimension of one of the variables

2 citations · 3 across the 13 of their papers we have counts for

collaborators

15 papers

cs.CL2026

Apertus 1.5: From Open Text Models to Open Multimodal Reasoners

Project Apertus, :, Yixuan Xu +130

Language models are becoming infrastructure, and infrastructure built in the open, by public institutions, on documented data, is the alternative to dependence on a few providers;…

math.OC2026

Asking the Crowd the Right Question: Bias-Cancelling Weights for Federated Learning

Ilya Kuruzov, Dmitrii Vishovan, Kirill Novoselov +3

A federated objective is a weighted sum of client risks, and the weights are almost always fixed in advance. We treat them instead as the only instrument of a wisdom-of-crowds mech…

math.OC2026

Robust Decentralized Optimization under Node Failures via Adaptive Regularization

Ilya Kuruzov, Anastasiia Murzina

We study decentralized minimization of a sum of functions over a network where nodes may only leave, the remaining nodes stay connected, and the topology freezes between departures…

math.OC2026

A Line-search-free Method for Adaptive Decentralized Optimization

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari

We study decentralized optimization over networks where agents cooperatively minimize a smooth (strongly) convex sum of local losses while communicating only with immediate neighbo…

math.OC2026

Adaptive Decentralized Composite Optimization via Three-Operator Splitting

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari

The paper studies decentralized optimization over networks, where agents minimize a sum of {\it locally} smooth (strongly) convex losses and plus a nonsmooth convex extended value…

math.OC2025

A Parameter-free Decentralized Algorithm for Composite Convex Optimization

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari +1

The paper studies decentralized optimization over networks, where agents minimize a composite objective consisting of the sum of smooth convex functions--the agents' losses--and an…

math.OC2025

Adaptive Stepsize Selection in Decentralized Convex Optimization

Ilya Kuruzov, Xiaokai Chen, Gesualdo Scutari +1

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing dec…

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

On Some Versions of Subspace Optimization Methods with Inexact Gradient Information

Ilya Kuruzov, Fedor Stonyakin

It is well-known that accelerated gradient methods possess optimal complexity estimates for the class of convex smooth minimization problems. In many practical situations, it makes…

math.OC2022

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…

math.OC2022

The Mirror-Prox Sliding Method for Non-smooth decentralized saddle-point problems

Ilya Kuruzov, Alexander Rogozin, Demyan Yarmoshik +1

The saddle-point optimization problems have a lot of practical applications. This paper focuses on such non-smooth problems in decentralized case. This work contains generalization…

math.OC2022★ 1 cited

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…

math.OC2021

Sequential Subspace Optimization for Quasar-Convex Optimization Problems with Inexact Gradient

Ilya Kuruzov, Fedor Stonyakin

It is well-known that accelerated gradient first-order methods possess optimal complexity estimates for the class of convex smooth minimization problems. In many practical situatio…

math.OC2020★ 2 cited

Solving strongly convex-concave composite saddle point problems with a small dimension of one of the variables

Egor Gladin, Ilya Kuruzov, Fedor Stonyakin +3

The article is devoted to the development of algorithmic methods ensuring efficient complexity bounds for strongly convex-concave saddle point problems in the case when one of the…

math.OC2017

Accelerated Methods for -Weakly-Quasi-Convex Problems

Sergey Guminov, Alexander Gasnikov, Ilya Kuruzov

We provide a quick overview of the class of -weakly-quasi-convex problems and its relationships with other problem classes. We show that the previously known Sequential Subspace…