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20202026
most citedRandom Reshuffling with Variance Reduction: New Analysis and Better Rates

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cs.LG2026

Communication-Efficient Gluon in Federated Learning

Xun Qian, Alexander Gaponov, Grigory Malinovsky +1

Recent developments have shown that Muon-type optimizers based on linear minimization oracles (LMOs) over non-Euclidean norm balls have the potential to get superior practical perf…

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.LG2025

First Provable Guarantees for Practical Private FL: Beyond Restrictive Assumptions

Egor Shulgin, Grigory Malinovsky, Sarit Khirirat +1

Federated Learning (FL) enables collaborative training on decentralized data. Differential privacy (DP) is crucial for FL, but current private methods often rely on unrealistic ass…

cs.LG2024

Randomized Asymmetric Chain of LoRA: The First Meaningful Theoretical Framework for Low-Rank Adaptation

Grigory Malinovsky, Umberto Michieli, Hasan Abed Al Kader Hammoud +4

Fine-tuning has become a popular approach to adapting large foundational models to specific tasks. As the size of models and datasets grows, parameter-efficient fine-tuning techniq…

cs.LG2022

Federated Random Reshuffling with Compression and Variance Reduction

Grigory Malinovsky, Peter Richtárik

Random Reshuffling (RR), which is a variant of Stochastic Gradient Descent (SGD) employing sampling without replacement, is an immensely popular method for training supervised mach…

cs.LG2022

Server-Side Stepsizes and Sampling Without Replacement Provably Help in Federated Optimization

Grigory Malinovsky, Konstantin Mishchenko, Peter Richtárik

We present a theoretical study of server-side optimization in federated learning. Our results are the first to show that the widely popular heuristic of scaling the client updates…