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Decentralized stochastic optimization methods have gained a lot of attention recently, mainly because of their cheap per iteration cost, data locality, and their communication-efficiency. In this paper we introduce a unified convergence…

Machine Learning · Computer Science 2021-03-03 Anastasia Koloskova , Nicolas Loizou , Sadra Boreiri , Martin Jaggi , Sebastian U. Stich

We present a family of algorithms, called descent algorithms, for optimizing convex and non-convex functions. We also introduce a new first-order algorithm, called rescaled gradient descent (RGD), and show that RGD achieves a faster…

Optimization and Control · Mathematics 2020-01-07 Ashia Wilson , Lester Mackey , Andre Wibisono

Federated Learning (FL) enables collaborative model training across distributed clients while preserving data privacy, yet faces challenges in non-independent and identically distributed (non-IID) settings due to client drift, which impairs…

Machine Learning · Computer Science 2026-02-12 Mohammad Partohaghighi , Roummel Marcia , Bruce J. West , YangQuan Chen

We consider a distributed stochastic optimization problem that is solved by a decentralized network of agents with only local communication between neighboring agents. The goal of the whole system is to minimize a global objective function…

Optimization and Control · Mathematics 2022-11-10 Alexander Rogozin , Mikhail Bochko , Pavel Dvurechensky , Alexander Gasnikov , Vladislav Lukoshkin

Communication overhead is a critical challenge in federated learning, particularly in bandwidth-constrained networks. Although many methods have been proposed to reduce communication overhead, most focus solely on compressing individual…

Machine Learning · Computer Science 2026-01-16 Shenlong Zheng , Zhen Zhang , Yuhui Deng , Geyong Min , Lin Cui

Recently, federated learning (FL) has gained momentum because of its capability in preserving data privacy. To conduct model training by FL, multiple clients exchange model updates with a parameter server via Internet. To accelerate the…

Machine Learning · Computer Science 2024-02-07 Xiaoxin Su , Yipeng Zhou , Laizhong Cui , Song Guo

Stochastic Gradient Descent (SGD) is the key learning algorithm for many machine learning tasks. Because of its computational costs, there is a growing interest in accelerating SGD on HPC resources like GPU clusters. However, the…

Machine Learning · Computer Science 2021-01-20 Peng Jiang , Gagan Agrawal

Federated learning (FL), as an emerging distributed machine learning paradigm, allows a mass of edge devices to collaboratively train a global model while preserving privacy. In this tutorial, we focus on FL via over-the-air computation…

Machine Learning · Computer Science 2023-10-17 Jingyang Zhu , Yuanming Shi , Yong Zhou , Chunxiao Jiang , Wei Chen , Khaled B. Letaief

Federated learning (FL) commonly involves clients with diverse communication and computational capabilities. Such heterogeneity can significantly distort the optimization dynamics and lead to objective inconsistency, where the global model…

Machine Learning · Computer Science 2026-02-24 Shudi Weng , Chao Ren , Ming Xiao , Mikael Skoglund

A widely recognized difficulty in federated learning arises from the statistical heterogeneity among clients: local datasets often originate from distinct yet not entirely unrelated probability distributions, and personalization is,…

Machine Learning · Statistics 2025-03-12 Shuxiao Chen , Qinqing Zheng , Qi Long , Weijie J. Su

This paper proposes a novel analysis for the Scaffold algorithm, a popular method for dealing with data heterogeneity in federated learning. While its convergence in deterministic settings--where local control variates mitigate client…

Machine Learning · Statistics 2025-03-11 Paul Mangold , Alain Durmus , Aymeric Dieuleveut , Eric Moulines

Federated learning is typically approached as an optimization problem, where the goal is to minimize a global loss function by distributing computation across client devices that possess local data and specify different parts of the global…

Machine Learning · Computer Science 2021-02-02 Maruan Al-Shedivat , Jennifer Gillenwater , Eric Xing , Afshin Rostamizadeh

We study the mixing properties for stochastic accelerated gradient descent (SAGD) on least-squares regression. First, we show that stochastic gradient descent (SGD) and SAGD are simulating the same invariant distribution. Motivated by this,…

Optimization and Control · Mathematics 2019-11-01 Peiyuan Zhang , Hadi Daneshmand , Thomas Hofmann

We introduce a collaborative learning framework allowing multiple parties having different sets of attributes about the same user to jointly build models without exposing their raw data or model parameters. In particular, we propose a…

Machine Learning · Computer Science 2020-08-03 Yang Liu , Yan Kang , Xinwei Zhang , Liping Li , Yong Cheng , Tianjian Chen , Mingyi Hong , Qiang Yang

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 slow ones, the server updates the model whenever a gradient…

Machine Learning · Computer Science 2026-05-14 Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

Decentralized and asynchronous communications are two popular techniques to speedup communication complexity of distributed machine learning, by respectively removing the dependency over a central orchestrator and the need for…

Optimization and Control · Mathematics 2023-11-02 Mathieu Even , Anastasia Koloskova , Laurent Massoulié

We study distributed stochastic gradient (D-SG) method and its accelerated variant (D-ASG) for solving decentralized strongly convex stochastic optimization problems where the objective function is distributed over several computational…

Optimization and Control · Mathematics 2021-10-05 Alireza Fallah , Mert Gurbuzbalaban , Asuman Ozdaglar , Umut Simsekli , Lingjiong Zhu

Federated learning (FL) is a distributed learning protocol in which a server needs to aggregate a set of models learned some independent clients to proceed the learning process. At present, model averaging, known as FedAvg, is one of the…

Machine Learning · Computer Science 2020-08-12 Kenta Nagura , Song Bian , Takashi Sato

Multiple local steps are key to communication-efficient federated learning. However, theoretical guarantees for such algorithms, without data heterogeneity-bounding assumptions, have been lacking in general non-smooth convex problems.…

Machine Learning · Computer Science 2025-03-28 Karlo Palenzuela , Ali Dadras , Alp Yurtsever , Tommy Löfstedt

This paper proposes an algorithm for Federated Learning (FL) with a two-layer structure that achieves both variance reduction and a faster convergence rate to an optimal solution in the setting where each agent has an arbitrary probability…

Machine Learning · Computer Science 2023-04-04 M. R. Rostami , S. S. Kia