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Federated learning faces critical challenges in balancing communication efficiency and model accuracy. One key issue lies in the approximation of update errors without incurring high computational costs. In this paper, we propose a…

机器学习 · 计算机科学 2025-05-29 Ganglou Xu

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,…

机器学习 · 统计学 2025-03-12 Shuxiao Chen , Qinqing Zheng , Qi Long , Weijie J. Su

We propose a novel single-loop decentralized algorithm called DGDA-VR for solving the stochastic nonconvex strongly-concave minimax problem over a connected network of $M$ agents. By using stochastic first-order oracles to estimate the…

最优化与控制 · 数学 2024-03-21 Xuan Zhang , Gabriel Mancino-Ball , Necdet Serhat Aybat , Yangyang Xu

Alternating gradient-descent-ascent (AltGDA) is an optimization algorithm that has been widely used for model training in various machine learning applications, which aims to solve a nonconvex minimax optimization problem. However, the…

机器学习 · 计算机科学 2022-05-23 Ziyi Chen , Shaocong Ma , Yi Zhou

Adaptive optimization has achieved notable success for distributed learning while extending adaptive optimizer to federated Learning (FL) suffers from severe inefficiency, including (i) rugged convergence due to inaccurate gradient…

机器学习 · 计算机科学 2023-08-02 Yan Sun , Li Shen , Hao Sun , Liang Ding , Dacheng Tao

In this paper, we study the (decentralized) distributed optimization problem with high-dimensional sparse structure. Building upon the FedDA algorithm, we propose a (Decentralized) FedDA-GT algorithm, which combines the \textbf{gradient…

最优化与控制 · 数学 2023-12-12 Jiadong Liang , Yang Peng , Zhihua Zhang

As distributed learning applications such as Federated Learning, the Internet of Things (IoT), and Edge Computing grow, it is critical to address the shortcomings of such technologies from a theoretical perspective. As an abstraction, we…

机器学习 · 计算机科学 2025-03-14 Sajjad Ghiasvand , Amirhossein Reisizadeh , Mahnoosh Alizadeh , Ramtin Pedarsani

We consider a distributed learning problem over multiple access channel (MAC) using a large wireless network. The computation is made by the network edge and is based on received data from a large number of distributed nodes which transmit…

机器学习 · 计算机科学 2020-06-24 Tomer Sery , Kobi Cohen

In this paper, we propose GT-GDA, a distributed optimization method to solve saddle point problems of the form: $\min_{\mathbf{x}} \max_{\mathbf{y}} \{F(\mathbf{x},\mathbf{y}) :=G(\mathbf{x}) + \langle \mathbf{y}, \overline{P} \mathbf{x}…

最优化与控制 · 数学 2022-07-04 Muhammad I. Qureshi , Usman A. Khan

We study a generic class of decentralized algorithms in which $N$ agents jointly optimize the non-convex objective $f(u):=1/N\sum_{i=1}^{N}f_i(u)$, while only communicating with their neighbors. This class of problems has become popular in…

最优化与控制 · 数学 2020-06-23 Mingyi Hong , Siliang Zeng , Junyu Zhang , Haoran Sun

Federated learning is an efficient machine learning tool for dealing with heterogeneous big data and privacy protection. Federated learning methods with regularization can control the level of communications between the central and local…

机器学习 · 计算机科学 2024-11-05 Langming Liu , Dingxuan Zhou

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

In distributed training of machine learning models, gradient descent with local iterative steps, commonly known as Local (Stochastic) Gradient Descent (Local-(S)GD) or Federated averaging (FedAvg), is a very popular method to mitigate…

机器学习 · 计算机科学 2026-03-24 Heng Zhu , Harsh Vardhan , Arya Mazumdar

Adaptive gradient methods have shown their ability to adjust the stepsizes on the fly in a parameter-agnostic manner, and empirically achieve faster convergence for solving minimization problems. When it comes to nonconvex minimax…

最优化与控制 · 数学 2025-10-10 Xiang Li , Junchi Yang , Niao He

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

最优化与控制 · 数学 2024-10-01 Kun Huang , Shi Pu

Stochastic Gradient Descent-Ascent (SGDA) is one of the most prominent algorithms for solving min-max optimization and variational inequalities problems (VIP) appearing in various machine learning tasks. The success of the method led to…

最优化与控制 · 数学 2023-03-09 Aleksandr Beznosikov , Eduard Gorbunov , Hugo Berard , Nicolas Loizou

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

最优化与控制 · 数学 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

Nonconvex-concave min-max problem arises in many machine learning applications including minimizing a pointwise maximum of a set of nonconvex functions and robust adversarial training of neural networks. A popular approach to solve this…

最优化与控制 · 数学 2025-03-21 Jiawei Zhang , Peijun Xiao , Ruoyu Sun , Zhi-Quan Luo

Gradient descent-ascent (GDA) is a widely used algorithm for minimax optimization. However, GDA has been proved to converge to stationary points for nonconvex minimax optimization, which are suboptimal compared with local minimax points. In…

最优化与控制 · 数学 2023-02-21 Ziyi Chen , Zhengyang Hu , Qunwei Li , Zhe Wang , Yi Zhou

This paper studies a class of distributed optimization algorithms by a set of agents, where each agent has only access to its own local convex objective function, and jointly minimizes the sum of the functions. The communications among…

最优化与控制 · 数学 2016-11-11 Qingguo Lü , Huaqing Li