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We study a class of distributed optimization algorithms that aim to alleviate high communication costs by allowing clients to perform multiple local gradient-type training steps before communication. In a recent breakthrough, Mishchenko et…

机器学习 · 计算机科学 2025-06-11 Artavazd Maranjyan , Mher Safaryan , Peter Richtárik

The celebrated FedAvg algorithm of McMahan et al. (2017) is based on three components: client sampling (CS), data sampling (DS) and local training (LT). While the first two are reasonably well understood, the third component, whose role is…

机器学习 · 计算机科学 2023-01-09 Michał Grudzień , Grigory Malinovsky , Peter Richtárik

We propose Local Momentum Tracking (LMT), a novel distributed stochastic gradient method for solving distributed optimization problems over networks. To reduce communication overhead, LMT enables each agent to perform multiple local updates…

最优化与控制 · 数学 2025-11-10 Kun Huang , Shi Pu

Inspired by a recent breakthrough of Mishchenko et al (2022), who for the first time showed that local gradient steps can lead to provable communication acceleration, we propose an alternative algorithm which obtains the same communication…

机器学习 · 计算机科学 2022-07-11 Abdurakhmon Sadiev , Dmitry Kovalev , Peter Richtárik

Distributed and federated learning algorithms and techniques associated primarily with minimization problems. However, with the increase of minimax optimization and variational inequality problems in machine learning, the necessity of…

最优化与控制 · 数学 2024-06-04 Siqi Zhang , Sayantan Choudhury , Sebastian U Stich , Nicolas Loizou

Federated Learning is a collaborative training framework that leverages heterogeneous data distributed across a vast number of clients. Since it is practically infeasible to request and process all clients during the aggregation step,…

机器学习 · 计算机科学 2023-06-07 Michał Grudzień , Grigory Malinovsky , Peter Richtárik

The ProxSkip algorithm for distributed optimization is gaining increasing attention due to its effectiveness in reducing communication. However, existing analyses of ProxSkip are limited to the strongly convex setting and fail to achieve…

机器学习 · 计算机科学 2026-05-19 Luyao Guo , Sulaiman A. Alghunaim , Kun Yuan , Laurent Condat , Jinde Cao

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

最优化与控制 · 数学 2023-02-06 Songyang Ge , Tsung-Hui Chang

Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such as Hadoop running on a cluster of commodity machines, communication costs are…

机器学习 · 计算机科学 2015-03-18 Dhruv Mahajan , Nikunj Agrawal , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Distributed training methods are crucial for large language models (LLMs). However, existing distributed training methods often suffer from communication bottlenecks, stragglers, and limited elasticity, particularly in heterogeneous or…

分布式、并行与集群计算 · 计算机科学 2025-02-18 Jialiang Cheng , Ning Gao , Yun Yue , Zhiling Ye , Jiadi Jiang , Jian Sha

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

机器学习 · 计算机科学 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

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

机器学习 · 计算机科学 2025-03-03 Georg Meinhardt , Kai Yi , Laurent Condat , Peter Richtárik

We introduce ProxSkip -- a surprisingly simple and provably efficient method for minimizing the sum of a smooth ($f$) and an expensive nonsmooth proximable ($\psi$) function. The canonical approach to solving such problems is via the…

机器学习 · 计算机科学 2023-03-27 Konstantin Mishchenko , Grigory Malinovsky , Sebastian Stich , Peter Richtárik

Federated Learning is a powerful machine learning paradigm to cooperatively train a global model with highly distributed data. A major bottleneck on the performance of distributed Stochastic Gradient Descent (SGD) algorithm for large-scale…

机器学习 · 计算机科学 2020-01-24 Haozhao Wang , Zhihao Qu , Song Guo , Xin Gao , Ruixuan Li , Baoliu Ye

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

In federated distributed learning, the goal is to optimize a global training objective defined over distributed devices, where the data shard at each device is sampled from a possibly different distribution (a.k.a., heterogeneous or non…

机器学习 · 计算机科学 2019-12-10 Farzin Haddadpour , Mehrdad Mahdavi

Local SGD is a promising approach to overcome the communication overhead in distributed learning by reducing the synchronization frequency among worker nodes. Despite the recent theoretical advances of local SGD in empirical risk…

机器学习 · 计算机科学 2021-03-01 Yuyang Deng , Mehrdad Mahdavi

We study the decentralized optimization problem where a network of $n$ agents seeks to minimize the average of a set of heterogeneous non-convex cost functions distributedly. State-of-the-art decentralized algorithms like Exact…

最优化与控制 · 数学 2022-10-14 Edward Duc Hien Nguyen , Sulaiman A. Alghunaim , Kun Yuan , César A. Uribe

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

机器学习 · 计算机科学 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

系统与控制 · 电气工程与系统科学 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li
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