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Distributed training of massive machine learning models, in particular deep neural networks, via Stochastic Gradient Descent (SGD) is becoming commonplace. Several families of communication-reduction methods, such as quantization,…

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

系统与控制 · 电气工程与系统科学 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

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…

机器学习 · 计算机科学 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

This paper is concerned with minimizing the average of $n$ cost functions over a network in which agents may communicate and exchange information with each other. We consider the setting where only noisy gradient information is available.…

最优化与控制 · 数学 2021-02-02 Shi Pu , Alex Olshevsky , Ioannis Ch. Paschalidis

Top-k sparsification has recently been widely used to reduce the communication volume in distributed deep learning. However, due to the Sparse Gradient Accumulation (SGA) dilemma, the performance of top-k sparsification still has…

机器学习 · 计算机科学 2024-02-26 Minjun Zhao , Yichen Yin , Yuren Mao , Qing Liu , Lu Chen , Yunjun Gao

Many economic games and machine learning approaches can be cast as competitive optimization problems where multiple agents are minimizing their respective objective function, which depends on all agents' actions. While gradient descent is a…

机器学习 · 计算机科学 2021-11-17 Jeffrey Ma , Alistair Letcher , Florian Schäfer , Yuanyuan Shi , Anima Anandkumar

We propose graph-dependent implicit regularisation strategies for distributed stochastic subgradient descent (Distributed SGD) for convex problems in multi-agent learning. Under the standard assumptions of convexity, Lipschitz continuity,…

机器学习 · 计算机科学 2018-09-20 Dominic Richards , Patrick Rebeschini

This paper presents NCOTA-DGD, a Decentralized Gradient Descent (DGD) algorithm that combines local gradient descent with a novel Non-Coherent Over-The-Air (NCOTA) consensus scheme to solve distributed machine-learning problems over…

信息论 · 计算机科学 2023-02-06 Nicolò Michelusi

Distributed parallel stochastic gradient descent algorithms are workhorses for large scale machine learning tasks. Among them, local stochastic gradient descent (Local SGD) has attracted significant attention due to its low communication…

机器学习 · 计算机科学 2020-12-16 Shuheng Shen , Yifei Cheng , Jingchang Liu , Linli Xu

Consider a wireless broadcast device-to-device (D2D) network wherein users' devices are interested in receiving some popular files. Each user's device possesses part of the content which is acquired in previous transmissions and cooperates…

信息论 · 计算机科学 2019-11-14 Mohammed S. Al-Abiad , Ahmed Douik , Md. J. Hossain

Smooth minimax optimization problems play a central role in a wide range of applications, including machine learning, game theory, and operations research. However, existing algorithmic frameworks vary significantly depending on the problem…

最优化与控制 · 数学 2025-06-10 Taoli Zheng , Anthony Man-Cho So , Jiajin Li

Distributed synchronous stochastic gradient descent has been widely used to train deep neural networks on computer clusters. With the increase of computational power, network communications have become one limiting factor on system…

分布式、并行与集群计算 · 计算机科学 2018-12-04 Shaohuai Shi , Xiaowen Chu , Bo Li

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

最优化与控制 · 数学 2022-04-19 Mohammad Taha Toghani , César A. Uribe

Distributed gradient descent (DGD) is an efficient way of implementing gradient descent (GD), especially for large data sets, by dividing the computation tasks into smaller subtasks and assigning to different computing servers (CSs) to be…

信息论 · 计算机科学 2018-11-29 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

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 two-timescale gradient descent-ascent (GDA) is a canonical gradient algorithm designed to find Nash equilibria in min-max games. We analyze the two-timescale GDA by investigating the effects of learning rate ratios on convergence…

最优化与控制 · 数学 2025-10-13 Jing An , Jianfeng Lu

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

信息论 · 计算机科学 2021-03-17 Ghadir Ayache , Salim El Rouayheb

Intensive communication and synchronization cost for gradients and parameters is the well-known bottleneck of distributed deep learning training. Based on the observations that Synchronous SGD (SSGD) obtains good convergence accuracy while…

分布式、并行与集群计算 · 计算机科学 2021-04-12 Yemao Xu , Dezun Dong , Yawei Zhao , Weixia Xu , Xiangke Liao

Decentralized SGD can run with low communication costs, but its sparse communication characteristics deteriorate the convergence rate, especially when the number of nodes is large. In decentralized learning settings, communication is…

机器学习 · 计算机科学 2025-03-03 Yuki Takezawa , Sebastian U. Stich

Min-max optimization problems (i.e., min-max games) have attracted a great deal of attention recently as their applicability to a wide range of machine learning problems has become evident. In this paper, we study min-max games with…

计算机科学与博弈论 · 计算机科学 2022-08-23 Denizalp Goktas , Amy Greenwald