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20212026
most citedVariance Reduction is an Antidote to Byzantines: Better Rates, Weaker Assumptions and Communication Compression as a Cherry on the Top

5 citations · 6 across the 19 of their papers we have counts for

collaborators

20 papers

cs.LG2026

What's in a Smoothness Constant? Tighter Rates for Local SGD with Bounded Second-order Heterogeneity

Kumar Kshitij Patel, Rustem Islamov, Sebastian U Stich +3

Local SGD, also known as Federated Averaging, is a widely used distributed optimization algorithm. Although Local SGD often outperforms alternatives such as Mini-batch SGD in pract…

cs.LG2026

Byzantine-Robust and Differentially Private Federated Optimization under Weaker Assumptions

Rustem Islamov, Grigory Malinovsky, Alexander Gaponov +3

Federated Learning (FL) enables heterogeneous clients to collaboratively train a shared model without centralizing their raw data, offering an inherent level of privacy. However, g…

cs.LG2026

Byzantine-Robust Optimization under -Smoothness

Arman Bolatov, Samuel Horváth, Martin Takáč +1

We consider distributed optimization under Byzantine attacks in the presence of -smoothness, a generalization of standard -smoothness that captures functions with sta…

cs.LG2025

Who to Trust? Aggregating Client Predictions in Federated Distillation

Viktor Kovalchuk, Denis Son, Arman Bolatov +6

Under data heterogeneity (e.g., ), clients may produce unreliable predictions for instances belonging to unfamiliar classes. An equally weighted combinatio…

cs.LG2025

Differentially Private Clipped-SGD: High-Probability Convergence with Arbitrary Clipping Level

Saleh Vatan Khah, Savelii Chezhegov, Shahrokh Farahmand +2

Gradient clipping is a fundamental tool in Deep Learning, improving the high-probability convergence of stochastic first-order methods like SGD, AdaGrad, and Adam under heavy-taile…

math.OC2025

High-Probability Convergence of Clipped SGD under Heavy-Tailed Noise and -Smoothness

Savelii Chezhegov, Taha El Bakkali El Kadi, Aleksandr Beznosikov +2

Gradient clipping is widely used in language-model training to control heavy-tailed gradient noise and can improve convergence guarantees over stochastic gradient descent (SGD) und…

cs.LG2025

Double Momentum and Error Feedback for Clipping with Fast Rates and Differential Privacy

Rustem Islamov, Samuel Horvath, Aurelien Lucchi +2

Strong Differential Privacy (DP) and Optimization guarantees are two desirable properties for a method in Federated Learning (FL). However, existing algorithms do not achieve both…

math.OC2024

Methods with Local Steps and Random Reshuffling for Generally Smooth Non-Convex Federated Optimization

Yury Demidovich, Petr Ostroukhov, Grigory Malinovsky +4

Non-convex Machine Learning problems typically do not adhere to the standard smoothness assumption. Based on empirical findings, Zhang et al. (2020b) proposed a more realistic gene…

cs.CL2024

Initialization using Update Approximation is a Silver Bullet for Extremely Efficient Low-Rank Fine-Tuning

Kaustubh Ponkshe, Raghav Singhal, Eduard Gorbunov +3

Low-rank adapters have become standard for efficiently fine-tuning large language models, but they often fall short of achieving the performance of full fine-tuning. We propose a m…

cs.LG2024

Error Feedback under -Smoothness: Normalization and Momentum

Sarit Khirirat, Abdurakhmon Sadiev, Artem Riabinin +2

We provide the first proof of convergence for normalized error feedback algorithms across a wide range of machine learning problems. Despite their popularity and efficiency in trai…

math.OC2024

Methods for Convex -Smooth Optimization: Clipping, Acceleration, and Adaptivity

Eduard Gorbunov, Nazarii Tupitsa, Sayantan Choudhury +4

Due to the non-smoothness of optimization problems in Machine Learning, generalized smoothness assumptions have been gaining a lot of attention in recent years. One of the most pop…

cs.CL2024

Low-Resource Machine Translation through the Lens of Personalized Federated Learning

Viktor Moskvoretskii, Nazarii Tupitsa, Chris Biemann +3

We present a new approach called MeritOpt based on the Personalized Federated Learning algorithm MeritFed that can be applied to Natural Language Tasks with heterogeneous data. We…

cs.LG2024

Clipping Improves Adam-Norm and AdaGrad-Norm when the Noise Is Heavy-Tailed

Savelii Chezhegov, Yaroslav Klyukin, Andrei Semenov +5

Methods with adaptive stepsizes, such as AdaGrad and Adam, are essential for training modern Deep Learning models, especially Large Language Models. Typically, the noise in the sto…

cs.LG2024

Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad

Sayantan Choudhury, Nazarii Tupitsa, Nicolas Loizou +3

Adaptive methods are extremely popular in machine learning as they make learning rate tuning less expensive. This paper introduces a novel optimization algorithm named KATE, which…

cs.LG2024

Federated Learning Can Find Friends That Are Advantageous

Nazarii Tupitsa, Samuel Horváth, Martin Takáč +1

In Federated Learning (FL), the distributed nature and heterogeneity of client data present both opportunities and challenges. While collaboration among clients can significantly e…

cs.LG2023

Byzantine-Tolerant Methods for Distributed Variational Inequalities

Nazarii Tupitsa, Abdulla Jasem Almansoori, Yanlin Wu +4

Robustness to Byzantine attacks is a necessity for various distributed training scenarios. When the training reduces to the process of solving a minimization problem, Byzantine rob…

cs.LG2023

Byzantine Robustness and Partial Participation Can Be Achieved at Once: Just Clip Gradient Differences

Grigory Malinovsky, Peter Richtárik, Samuel Horváth +1

Distributed learning has emerged as a leading paradigm for training large machine learning models. However, in real-world scenarios, participants may be unreliable or malicious, po…

math.OC2023★ 1 cited

Communication Compression for Byzantine Robust Learning: New Efficient Algorithms and Improved Rates

Ahmad Rammal, Kaja Gruntkowska, Nikita Fedin +2

Byzantine robustness is an essential feature of algorithms for certain distributed optimization problems, typically encountered in collaborative/federated learning. These problems…

cs.LG2022★ 5 cited

Variance Reduction is an Antidote to Byzantines: Better Rates, Weaker Assumptions and Communication Compression as a Cherry on the Top

Eduard Gorbunov, Samuel Horváth, Peter Richtárik +1

Byzantine-robustness has been gaining a lot of attention due to the growth of the interest in collaborative and federated learning. However, many fruitful directions, such as the u…

cs.LG2021

EF21 with Bells & Whistles: Six Algorithmic Extensions of Modern Error Feedback

Ilyas Fatkhullin, Igor Sokolov, Eduard Gorbunov +2

First proposed by Seide (2014) as a heuristic, error feedback (EF) is a very popular mechanism for enforcing convergence of distributed gradient-based optimization methods enhanced…