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This paper focuses on the decentralized optimization problem, where agents in a network cooperate to minimize the sum of their local objective functions by information exchange and local computation. Based on the alternating direction…

最优化与控制 · 数学 2023-01-25 Zhen Zhang , Shaofu Yang , Wenying Xu

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

最优化与控制 · 数学 2022-05-31 Marina Danilova , Eduard Gorbunov

This paper addresses distributed stochastic optimization problems under non-i.i.d. data, focusing on the inherent trade-offs between communication and computational efficiency. To this end, we propose FlexGT, a flexible snapshot gradient…

最优化与控制 · 数学 2026-02-17 Yan Huang , Jinming Xu , Li Chai , Jiming Chen , Karl H. Johansson

In this paper, we consider the decentralized optimization problems with generalized orthogonality constraints, where both the objective function and the constraint exhibit a distributed structure. Such optimization problems, albeit…

最优化与控制 · 数学 2024-09-10 Lei Wang , Nachuan Xiao , Xin Liu

Due to the high communication cost in distributed and federated learning problems, methods relying on compression of communicated messages are becoming increasingly popular. While in other contexts the best performing gradient-type methods…

最优化与控制 · 数学 2020-06-29 Zhize Li , Dmitry Kovalev , Xun Qian , Peter Richtárik

We study high-probability (HP) convergence guarantees in decentralized stochastic optimization, where multiple agents collaborate to jointly train a model over a network. Existing HP results in decentralized settings almost exclusively…

机器学习 · 计算机科学 2026-05-04 Aleksandar Armacki , Haoyuan Cai , Ali H. Sayed

Due to the substantial computational cost, training state-of-the-art deep neural networks for large-scale datasets often requires distributed training using multiple computation workers. However, by nature, workers need to frequently…

机器学习 · 计算机科学 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

最优化与控制 · 数学 2023-06-13 Yan Huang , Jinming Xu

In this paper, we consider a strongly convex finite-sum minimization problem over a decentralized network and propose a communication-efficient decentralized Newton's method for solving it. We first apply dynamic average consensus (DAC) so…

最优化与控制 · 数学 2022-10-04 Huikang Liu , Jiaojiao Zhang , Anthony Man-Cho So , Qing Ling

Due to the explosion in the size of the training datasets, distributed learning has received growing interest in recent years. One of the major bottlenecks is the large communication cost between the central server and the local workers.…

机器学习 · 计算机科学 2022-02-25 Yujia Wang , Lu Lin , Jinghui Chen

We propose a novel algorithm for distributed stochastic gradient descent (SGD) with compressed gradient communication in the parameter-server framework. Our gradient compression technique, named flattened one-bit stochastic gradient descent…

机器学习 · 计算机科学 2024-05-21 Alexander Stollenwerk , Laurent Jacques

Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

An increasing bottleneck in decentralized optimization is communication. Bigger models and growing datasets mean that decentralization of computation is important and that the amount of information exchanged is quickly growing. While…

机器学习 · 计算机科学 2021-08-19 Tharindu B. Adikari , Stark C. Draper

Distributed model training suffers from communication bottlenecks due to frequent model updates transmitted across compute nodes. To alleviate these bottlenecks, practitioners use gradient compression techniques like sparsification,…

机器学习 · 计算机科学 2020-11-02 Saurabh Agarwal , Hongyi Wang , Kangwook Lee , Shivaram Venkataraman , Dimitris Papailiopoulos

This paper considers the decentralized composite optimization problem. We propose a novel decentralized variance-reduction proximal-gradient algorithmic framework, called PMGT-VR, which is based on a combination of several techniques…

最优化与控制 · 数学 2021-06-08 Haishan Ye , Wei Xiong , Tong Zhang

Distributed optimization problems usually face inexact communication issues induced by channel noise, communication quantization or differential privacy protection. Most existing algorithms need a two-timescale setting of the stepsize of…

最优化与控制 · 数学 2026-03-03 Shengchao Zhao , Yongchao Liu

This paper considers the decentralized consensus optimization problem defined over a network where each node holds a second-order differentiable local objective function. Our goal is to minimize the summation of local objective functions…

最优化与控制 · 数学 2020-08-25 Jiaojiao Zhang , Qing Ling , Anthony Man-Cho So

This paper proposes a prediction-based gradient compression method for distributed learning with event-triggered communication. Our goal is to reduce the amount of information transmitted from the distributed agents to the parameter server…

信息论 · 计算机科学 2024-10-04 Adrian Edin , Zheng Chen , Michel Kieffer , Mikael Johansson

Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this…

机器学习 · 计算机科学 2025-11-11 Arnaud Descours , Léonard Deroose , Jan Ramon

In this paper, we study decentralized empirical risk minimization problems, where the goal is to minimize a finite-sum of smooth and strongly-convex functions available over a network of nodes. In this Part I, we propose…

最优化与控制 · 数学 2019-12-12 Ran Xin , Usman A. Khan , Soummya Kar