activity
20212026
most citedProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!

10 citations · 78 across the 72 of their papers we have counts for

collaborators

74 papers

cs.LG2026

SpecGradFilter: A Spectral Gradient Filtering Framework for Taming Federated Heterogeneity

Liyang Yuan, Yibo Yang, Dandan Guo +2

Federated Learning (FL) is fundamentally challenged by statistical heterogeneity, where non-identically distributed (non-IID) data induces client drift that severely hampers global…

cs.LG2026

Demystifying Pipeline Parallelism: First Theory for PipeDream

Ivan Ilin, Peter Richtárik

Training modern machine learning models increasingly requires computation to be distributed across many accelerators. Data parallelism remains the default choice and is often paire…

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…

cs.LG2024

MARINA-P: Superior Performance in Non-smooth Federated Optimization with Adaptive Stepsizes

Igor Sokolov, Peter Richtárik

Non-smooth communication-efficient federated optimization is crucial for many machine learning applications, yet remains largely unexplored theoretically. Recent advancements have…

math.OC2024

Differentially Private Random Block Coordinate Descent

Artavazd Maranjyan, Abdurakhmon Sadiev, Peter Richtárik

Coordinate Descent (CD) methods have gained significant attention in machine learning due to their effectiveness in solving high-dimensional problems and their ability to decompose…

math.OC2024

Speeding up Stochastic Proximal Optimization in the High Hessian Dissimilarity Setting

Elnur Gasanov, Peter Richtárik

Stochastic proximal point methods have recently garnered renewed attention within the optimization community, primarily due to their desirable theoretical properties. Notably, thes…

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.LG2024

Pushing the Limits of Large Language Model Quantization via the Linearity Theorem

Vladimir Malinovskii, Andrei Panferov, Ivan Ilin +3

Quantizing large language models has become a standard way to reduce their memory and computational costs. Typically, existing methods focus on breaking down the problem into indiv…

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…

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…

math.OC2024

On the Convergence of FedProx with Extrapolation and Inexact Prox

Hanmin Li, Peter Richtárik

Enhancing the FedProx federated learning algorithm (Li et al., 2020) with server-side extrapolation, Li et al. (2024a) recently introduced the FedExProx method. Their theoretical a…

math.OC2024

Tighter Performance Theory of FedExProx

Wojciech Anyszka, Kaja Gruntkowska, Alexander Tyurin +1

We revisit FedExProx - a recently proposed distributed optimization method designed to enhance convergence properties of parallel proximal algorithms via extrapolation. In the proc…

cs.LG2024

Unlocking FedNL: Self-Contained Compute-Optimized Implementation

Konstantin Burlachenko, Peter Richtárik

Federated Learning (FL) is an emerging paradigm that enables intelligent agents to collaboratively train Machine Learning (ML) models in a distributed manner, eliminating the need…

math.OC2024

MindFlayer SGD: Efficient Parallel SGD in the Presence of Heterogeneous and Random Worker Compute Times

Artavazd Maranjyan, Omar Shaikh Omar, Peter Richtárik

We investigate the problem of minimizing the expectation of smooth nonconvex functions in a distributed setting with multiple parallel workers that are able to compute stochastic g…

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.LG2024

Cohort Squeeze: Beyond a Single Communication Round per Cohort in Cross-Device Federated Learning

Kai Yi, Timur Kharisov, Igor Sokolov +1

Virtually all federated learning (FL) methods, including FedAvg, operate in the following manner: i) an orchestrating server sends the current model parameters to a cohort of clien…

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…

math.OC2024

A Simple Linear Convergence Analysis of the Point-SAGA Algorithm

Laurent Condat, Peter Richtárik

Point-SAGA is a randomized algorithm for minimizing a sum of convex functions using their proximity operators (proxs), proposed by Defazio (2016). At every iteration, the prox of o…

math.OC2024

Local Curvature Descent: Squeezing More Curvature out of Standard and Polyak Gradient Descent

Peter Richtárik, Simone Maria Giancola, Dymitr Lubczyk +1

We contribute to the growing body of knowledge on more powerful and adaptive stepsizes for convex optimization, empowered by local curvature information. We do not go the route of…

math.OC2024

A Unified Theory of Stochastic Proximal Point Methods without Smoothness

Peter Richtárik, Abdurakhmon Sadiev, Yury Demidovich

This paper presents a comprehensive analysis of a broad range of variations of the stochastic proximal point method (SPPM). Proximal point methods have attracted considerable inter…

math.OC2024

Stochastic Proximal Point Methods for Monotone Inclusions under Expected Similarity

Abdurakhmon Sadiev, Laurent Condat, Peter Richtárik

Monotone inclusions have a wide range of applications, including minimization, saddle-point, and equilibria problems. We introduce new stochastic algorithms, with or without varian…

cs.LG2024

Sparse-ProxSkip: Accelerated Sparse-to-Sparse Training in Federated Learning

Georg Meinhardt, Kai Yi, Laurent Condat +1

In Federated Learning (FL), both client resource constraints and communication costs pose major problems for training large models. In the centralized setting, sparse training addr…

math.OC2024

On the Optimal Time Complexities in Decentralized Stochastic Asynchronous Optimization

Alexander Tyurin, Peter Richtárik

We consider the decentralized stochastic asynchronous optimization setup, where many workers asynchronously calculate stochastic gradients and asynchronously communicate with each…

math.OC2024★ 1 cited

Freya PAGE: First Optimal Time Complexity for Large-Scale Nonconvex Finite-Sum Optimization with Heterogeneous Asynchronous Computations

Alexander Tyurin, Kaja Gruntkowska, Peter Richtárik

In practical distributed systems, workers are typically not homogeneous, and due to differences in hardware configurations and network conditions, can have highly varying processin…