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Modern machine learning tasks often involve massive datasets and models, necessitating distributed optimization algorithms with reduced communication overhead. Communication compression, where clients transmit compressed updates to a…

Optimization and Control · Mathematics 2025-04-01 Yuan Gao , Anton Rodomanov , Jeremy Rack , Sebastian U. Stich

This paper is concerned with distributed stochastic multi-agent constrained optimization problem over time-varying network with a class of communication noise. This paper considers the problem in composite optimization setting which is more…

Optimization and Control · Mathematics 2022-12-20 Zhan Yu , Daniel W. C. Ho , Deming Yuan , Jie Liu

Distributed learning techniques such as federated learning have enabled multiple workers to train machine learning models together to reduce the overall training time. However, current distributed training algorithms (centralized or…

Machine Learning · Computer Science 2020-02-25 Zhenheng Tang , Shaohuai Shi , Xiaowen Chu

Gradient compression with error compensation has attracted significant attention with the target of reducing the heavy communication overhead in distributed learning. However, existing compression methods either perform only unidirectional…

Machine Learning · Computer Science 2024-02-20 Yifei Cheng , Li Shen , Linli Xu , Xun Qian , Shiwei Wu , Yiming Zhou , Tie Zhang , Dacheng Tao , Enhong Chen

We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks. Considering that communication is a major bottleneck in decentralized optimization, our main…

Optimization and Control · Mathematics 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

We investigate distributed online convex optimization with compressed communication, where $n$ learners connected by a network collaboratively minimize a sequence of global loss functions using only local information and compressed data…

Machine Learning · Computer Science 2026-01-12 Sifan Yang , Wenhao Yang , Wei Jiang , Lijun Zhang

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

We study distributed estimation methods under communication constraints in a distributed version of the nonparametric random design regression model. We derive minimax lower bounds and exhibit methods that attain those bounds. Moreover, we…

Statistics Theory · Mathematics 2019-02-06 Botond Szabo , Harry van Zanten

Currently, progressively larger deep neural networks are trained on ever growing data corpora. As this trend is only going to increase in the future, distributed training schemes are becoming increasingly relevant. A major issue in…

Machine Learning · Computer Science 2018-05-23 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

Stochastic bilevel optimization finds widespread applications in machine learning, including meta-learning, hyperparameter optimization, and neural architecture search. To extend stochastic bilevel optimization to distributed data, several…

Machine Learning · Computer Science 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

Machine Learning · Computer Science 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a novel Distributed Approx-Newton algorithm that approximates the standard Newton optimization method. A main property of this…

Numerical Analysis · Computer Science 2017-03-24 Tor Anderson , Chin-Yao Chang , Sonia Martinez

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

Optimization and Control · Mathematics 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

In this paper, we study the distributed nonconvex optimization problem, which aims to minimize the average value of the local nonconvex cost functions using local information exchange. To reduce the communication overhead, we introduce…

Optimization and Control · Mathematics 2025-02-12 Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Karl H. Johansson , Tao Yang

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

Optimization and Control · Mathematics 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

Communication compression, a technique aiming to reduce the information volume to be transmitted over the air, has gained great interests in Federated Learning (FL) for the potential of alleviating its communication overhead. However,…

Optimization and Control · Mathematics 2024-04-10 Xinmeng Huang , Ping Li , Xiaoyun Li

Many machine learning tasks, such as principal component analysis and low-rank matrix completion, give rise to manifold optimization problems. Although there is a large body of work studying the design and analysis of algorithms for…

Machine Learning · Computer Science 2024-06-13 Jiaojiao Zhang , Jiang Hu , Anthony Man-Cho So , Mikael Johansson

Communication cost is one major bottleneck for the scalability for distributed learning. One approach to reduce the communication cost is to compress the gradient during communication. However, directly compressing the gradient decelerates…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Hanlin Tang , Yao Li , Ji Liu , Ming Yan

We consider centralized distributed optimization in the classical federated learning setup, where $n$ workers jointly find an $\varepsilon$-stationary point of an $L$-smooth, $d$-dimensional nonconvex function $f$, having access only to…

Optimization and Control · Mathematics 2026-03-31 Alexander Tyurin
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