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20212026
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cs.LG2026

SILAGE: Memory-Efficient, Full-Gradient-Free Nonconvex Optimization for Nested Finite Sums

Igor Sokolov, Laurent Condat, Peter Richtárik

Empirical risk minimization on massive datasets naturally exhibits a nested double finite-sum structure, where total samples are logically or physically partitioned into …

cs.LG2026

LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging

Yassine Maziane, Ammar Mahran, Artavazd Maranjyan +1

Communication is a major bottleneck in distributed learning, especially in large-scale settings and in federated learning environments with slow links. Three standard ways to reduc…

cs.LG2026

Distance-Aware Muon: Adaptive Step Scaling for Normalized Optimization

Yury Demidovich, Abhishek Chakraborty, Grigory Malinovsky +2

Muon and related normalized optimizers decouple the choice of update direction from the choice of step scale, but their practical performance remains sensitive to the scale of the…

cs.LG2026

Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method

Abdurakhmon Sadiev, Artavazd Maranjyan, Ivan Ilin +1

Muon has recently emerged as a strong alternative to AdamW for training neural networks, with encouraging large-scale pretraining results and growing evidence that matrix-structure…

cs.LG2026

Rescaled Asynchronous SGD: Optimal Distributed Optimization under Data and System Heterogeneity

Ammar Mahran, Artavazd Maranjyan, Peter Richtárik

Asynchronous stochastic gradient descent (ASGD) is a standard way to exploit heterogeneous compute resources in distributed learning: instead of forcing fast workers to wait for sl…

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

Bernoulli-LoRA: A Theoretical Framework for Randomized Low-Rank Adaptation

Igor Sokolov, Abdurakhmon Sadiev, Yury Demidovich +2

Parameter-efficient fine-tuning (PEFT) has emerged as a crucial approach for adapting large foundational models to specific tasks, particularly as model sizes continue to grow expo…

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…