activity
20192026
most citedSGD: General Analysis and Improved Rates

35 citations · 88 across the 18 of their papers we have counts for

collaborators

19 papers

cs.LG2026

Optimizers for Diffusion Models: A Controlled Benchmark

Arman Bolatov, Egor Shulgin, David Li +6

Discrete diffusion models now match autoregressive language models on several benchmarks, while the question of how best to train them has received far less attention: the optimize…

cs.LG2026

Deriving Hyperparameter Scaling Laws via Modern Optimization Theory

Egor Shulgin, Dimitri von Rütte, Tianyue H. Zhang +3

Hyperparameter transfer has become an important component of modern large-scale training recipes. Existing methods, such as muP, primarily focus on transfer between model sizes, wi…

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.LG2025

Beyond the Ideal: Analyzing the Inexact Muon Update

Egor Shulgin, Sultan AlRashed, Francesco Orabona +1

The Muon optimizer has rapidly emerged as a powerful, geometry-aware alternative to AdamW, demonstrating strong performance in large-scale training of neural networks. However, a c…

cs.LG2025

Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)

Artem Riabinin, Egor Shulgin, Kaja Gruntkowska +1

Recent developments in deep learning optimization have brought about radically new algorithms based on the Linear Minimization Oracle (LMO) framework, such as and $\sf S…

cs.LG2025

Smoothed Normalization for Efficient Distributed Private Optimization

Egor Shulgin, Sarit Khirirat, Peter Richtárik

Federated learning enables training machine learning models while preserving the privacy of participants. Surprisingly, there is no differentially private distributed method for sm…

cs.LG2024★ 1 cited

On the Convergence of DP-SGD with Adaptive Clipping

Egor Shulgin, Peter Richtárik

Stochastic Gradient Descent (SGD) with gradient clipping is a powerful technique for enabling differentially private optimization. Although prior works extensively investigated cli…

math.OC2024★ 1 cited

SPAM: Stochastic Proximal Point Method with Momentum Variance Reduction for Non-convex Cross-Device Federated Learning

Avetik Karagulyan, Egor Shulgin, Abdurakhmon Sadiev +1

Cross-device training is a crucial subfield of federated learning, where the number of clients can reach into the billions. Standard approaches and local methods are prone to issue…

cs.LG2023

MAST: Model-Agnostic Sparsified Training

Yury Demidovich, Grigory Malinovsky, Egor Shulgin +1

We introduce a novel optimization problem formulation that departs from the conventional way of minimizing machine learning model loss as a black-box function. Unlike traditional f…

cs.LG2023★ 1 cited

Towards a Better Theoretical Understanding of Independent Subnetwork Training

Egor Shulgin, Peter Richtárik

Modern advancements in large-scale machine learning would be impossible without the paradigm of data-parallel distributed computing. Since distributed computing with large-scale mo…

cs.LG2022

Shifted Compression Framework: Generalizations and Improvements

Egor Shulgin, Peter Richtárik

Communication is one of the key bottlenecks in the distributed training of large-scale machine learning models, and lossy compression of exchanged information, such as stochastic g…

cs.LG2022★ 1 cited

Certified Robustness in Federated Learning

Motasem Alfarra, Juan C. Pérez, Egor Shulgin +2

Federated learning has recently gained significant attention and popularity due to its effectiveness in training machine learning models on distributed data privately. However, as…

math.OC2021★ 13 cited

ADOM: Accelerated Decentralized Optimization Method for Time-Varying Networks

Dmitry Kovalev, Egor Shulgin, Peter Richtárik +2

We propose ADOM - an accelerated method for smooth and strongly convex decentralized optimization over time-varying networks. ADOM uses a dual oracle, i.e., we assume access to the…

math.OC2020

Towards accelerated rates for distributed optimization over time-varying networks

Alexander Rogozin, Vladislav Lukoshkin, Alexander Gasnikov +2

We study the problem of decentralized optimization over time-varying networks with strongly convex smooth cost functions. In our approach, nodes run a multi-step gossip procedure a…

cs.LG2020★ 9 cited

Uncertainty Principle for Communication Compression in Distributed and Federated Learning and the Search for an Optimal Compressor

Mher Safaryan, Egor Shulgin, Peter Richtárik

In order to mitigate the high communication cost in distributed and federated learning, various vector compression schemes, such as quantization, sparsification and dithering, have…

math.OC2019

Adaptive Catalyst for Smooth Convex Optimization

Anastasiya Ivanova, Dmitry Pasechnyuk, Dmitry Grishchenko +3

In this paper, we present a generic framework that allows accelerating almost arbitrary non-accelerated deterministic and randomized algorithms for smooth convex optimization probl…

math.PR2019★ 12 cited

Lecture Notes on Stochastic Processes

Alexander Gasnikov, Eduard Gorbunov, Sergey Guz +3

This is lecture notes on the course "Stochastic Processes". In this format, the course was taught in the spring semesters 2017 and 2018 for third-year bachelor students of the Depa…

math.OC2019★ 15 cited

Revisiting Stochastic Extragradient

Konstantin Mishchenko, Dmitry Kovalev, Egor Shulgin +2

We fix a fundamental issue in the stochastic extragradient method by providing a new sampling strategy that is motivated by approximating implicit updates. Since the existing stoch…

cs.LG2019★ 35 cited

SGD: General Analysis and Improved Rates

Robert Mansel Gower, Nicolas Loizou, Xun Qian +3

We propose a general yet simple theorem describing the convergence of SGD under the arbitrary sampling paradigm. Our theorem describes the convergence of an infinite array of varia…