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We present a distributed conjugate gradient method for distributed optimization problems, where each agent computes an optimal solution of the problem locally without any central computation or coordination, while communicating with its…

最优化与控制 · 数学 2024-02-27 Ola Shorinwa , Mac Schwager

Gradient tracking (GT) is an algorithm designed for solving decentralized optimization problems over a network (such as training a machine learning model). A key feature of GT is a tracking mechanism that allows to overcome data…

最优化与控制 · 数学 2023-01-05 Yue Liu , Tao Lin , Anastasia Koloskova , Sebastian U. Stich

This paper studies the distributed minimax optimization problem over networks. To enhance convergence performance, we propose a distributed optimistic gradient tracking method, termed DOGT, which solves a surrogate function that captures…

最优化与控制 · 数学 2025-09-01 Yan Huang , Jinming Xu , Jiming Chen , Karl Henrik Johansson

In distributed and federated learning algorithms, communication overhead is often reduced by performing multiple local updates between communication rounds. However, due to data heterogeneity across nodes and the local gradient noise within…

机器学习 · 计算机科学 2025-12-02 Yan Huang , Jinming Xu , Jiming Chen , Karl Henrik Johansson

While many distributed optimization algorithms have been proposed for solving smooth or convex problems over the networks, few of them can handle non-convex and non-smooth problems. Based on a proximal primal-dual approach, this paper…

最优化与控制 · 数学 2021-09-01 Zhiguo Wang , Jiawei Zhang , Tsung-Hui Chang , Jian Li , Zhi-Quan Luo

Inspired by the success of performing multiple local optimization steps between communication rounds in federated learning, incorporating such local updates into distributed optimization has recently attracted growing interest. However,…

系统与控制 · 电气工程与系统科学 2026-04-22 Zuang Wang , Yongqiang Wang

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

最优化与控制 · 数学 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

This paper presents a novel accelerated distributed algorithm for unconstrained consensus optimization over static undirected networks. The proposed algorithm combines the benefits of acceleration from momentum, the robustness of the…

Pre-training Transformer models is resource-intensive, and recent studies have shown that sign momentum is an efficient technique for training large-scale deep learning models, particularly Transformers. However, its application in…

机器学习 · 计算机科学 2025-03-11 Shuhua Yu , Ding Zhou , Cong Xie , An Xu , Zhi Zhang , Xin Liu , Soummya Kar

This paper proposes the Doubly Compressed Momentum-assisted stochastic gradient tracking algorithm $\texttt{DoCoM}$ for communication-efficient decentralized optimization. The algorithm features two main ingredients to achieve a…

机器学习 · 计算机科学 2023-08-01 Chung-Yiu Yau , Hoi-To Wai

In this paper, we focus on solving the decentralized optimization problem of minimizing the sum of $n$ objective functions over a multi-agent network. The agents are embedded in an undirected graph where they can only send/receive…

最优化与控制 · 数学 2024-04-23 Zhuoqing Song , Lei Shi , Shi Pu , Ming Yan

Decentralized learning (DL) has recently employed local updates to reduce the communication cost for general non-convex optimization problems. Specifically, local updates require each node to perform multiple update steps on the parameters…

分布式、并行与集群计算 · 计算机科学 2023-07-18 Kangyang Luo , Kunkun Zhang , Shengbo Zhang , Xiang Li , Ming Gao

Communication compression techniques are of growing interests for solving the decentralized optimization problem under limited communication, where the global objective is to minimize the average of local cost functions over a multi-agent…

最优化与控制 · 数学 2022-05-26 Yiwei Liao , Zhuorui Li , Kun Huang , Shi Pu

This paper presents a novel distributed formulation of the min-max optimization problem. Such a formulation enables enhanced flexibility among agents when optimizing their maximization variables. To address the problem, we propose two…

最优化与控制 · 数学 2025-05-19 Runze You , Kun Huang , Shi Pu

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

机器学习 · 计算机科学 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

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

Recent developments on large-scale distributed machine learning applications, e.g., deep neural networks, benefit enormously from the advances in distributed non-convex optimization techniques, e.g., distributed Stochastic Gradient Descent…

最优化与控制 · 数学 2019-05-13 Hao Yu , Rong Jin , Sen Yang

This paper considers a distributed stochastic non-convex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes…

最优化与控制 · 数学 2024-04-01 Dongyu Han , Kun Liu , Yeming Lin , Yuanqing Xia

In the decentralized distributed learning, achieving fast convergence and low communication cost is essential for scalability and high efficiency. Adaptive gradient methods, such as Adam, have demonstrated strong practical performance in…

机器学习 · 计算机科学 2026-04-14 Wei Liu , Anweshit Panda , Ujwal Pandey , Haven Cook , George M. Slota , Naigang Wang , Jie Chen , Yangyang Xu

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