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This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies…

最优化与控制 · 数学 2025-05-12 Chao Sun , Huiming Zhang , Bo Chen , Li Yu

This paper addresses the problem of distributed learning under communication constraints, motivated by distributed signal processing in wireless sensor networks and data mining with distributed databases. After formalizing a general model…

机器学习 · 计算机科学 2016-11-15 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

Federated Learning has become a widely-used framework which allows learning a global model on decentralized local datasets under the condition of protecting local data privacy. However, federated learning faces severe optimization…

机器学习 · 计算机科学 2023-01-26 Wenkai Yang , Yankai Lin , Guangxiang Zhao , Peng Li , Jie Zhou , Xu Sun

This paper investigates privacy issues in distributed resource allocation over directed networks, where each agent holds a private cost function and optimizes its decision subject to a global coupling constraint through local interaction…

系统与控制 · 电气工程与系统科学 2025-07-08 Wei Huo , Xiaomeng Chen , Lingying Huang , Karl Henrik Johansson , Ling Shi

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

This paper develops an algorithmic framework for real-time optimization of distribution-level distributed energy resources (DERs). The proposed framework optimizes the operation of both DERs that are individually controllable and groups of…

最优化与控制 · 数学 2019-02-28 Andrey Bernstein , Emiliano Dall'Anese

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

最优化与控制 · 数学 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

Federated learning enables collaborative model training across distributed clients while preserving data privacy. However, in practical deployments, device heterogeneity, non-independent, and identically distributed (Non-IID) data often…

人工智能 · 计算机科学 2026-02-20 Jin Wang , Hui Ma , Fei Xing , Ming Yan

We study differentially private distributed optimization under communication constraints. A server using SGD for optimization aggregates the client-side local gradients for model updates using distributed mean estimation (DME). We develop a…

机器学习 · 计算机科学 2023-02-23 Antonious M. Girgis , Suhas Diggavi

This paper presents a first-order distributed algorithm for solving a convex semi-infinite program (SIP) over a time-varying network. In this setting, the objective function associated with the optimization problem is a summation of a set…

最优化与控制 · 数学 2025-05-23 Ashwin Aravind , Debasish Chatterjee , Ashish Cherukuri

There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

机器学习 · 统计学 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

We study the problem of distributed adaptive estimation over networks where nodes cooperate to estimate physical parameters that can vary over both space and time domains. We use a set of basis functions to characterize the space-varying…

系统与控制 · 计算机科学 2015-07-22 Reza Abdolee , Benoit Champagne , Ali H. Sayed

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

最优化与控制 · 数学 2025-11-26 Chenyang Qiu , Zongli Lin

In this letter, we study distributed optimization, where a network of agents, abstracted as a directed graph, collaborates to minimize the average of locally-known convex functions. Most of the existing approaches over directed graphs are…

最优化与控制 · 数学 2018-06-08 Ran Xin , Usman A. Khan

Learning the relationships between various entities from time-series data is essential in many applications. Gaussian graphical models have been studied to infer these relationships. However, existing algorithms process data in a batch at a…

机器学习 · 计算机科学 2021-10-04 Tong Yao , Shreyas Sundaram

In important applications involving multi-task networks with multiple objectives, agents in the network need to decide between these multiple objectives and reach an agreement about which single objective to follow for the network. In this…

最优化与控制 · 数学 2018-12-27 Sahar Khawatmi , Abdelhak M. Zoubir , Ali H. Sayed

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

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

多智能体系统 · 计算机科学 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

We study the privatization of distributed learning and optimization strategies. We focus on differential privacy schemes and study their effect on performance. We show that the popular additive random perturbation scheme degrades…

机器学习 · 计算机科学 2023-01-18 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Real-time data-driven optimization and control problems over networks may require sensitive information of participating users to calculate solutions and decision variables, such as in traffic or energy systems. Adversaries with access to…

最优化与控制 · 数学 2020-05-25 Roel Dobbe , Ye Pu , Jingge Zhu , Kannan Ramchandran , Claire Tomlin