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In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

Distributed optimization is manifesting great potential in multiple fields, e.g., machine learning, control, and resource allocation. Existing decentralized optimization algorithms require sharing explicit state information among the…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li , You Zhao

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

In this paper, we study the privacy-preserving distributed optimization problem, aiming to prevent attackers from stealing the private information of agents. For this purpose, we propose a novel privacy-preserving algorithm based on the…

Optimization and Control · Mathematics 2024-05-15 Bing Liu , Furan Xie , Li Chai

Average consensus is extensively used in distributed networks for computation and control, where all the agents constantly communicate with each other and update their states in order to reach an agreement. Under a general average consensus…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Xiaomeng Chen , Lingying Huang , Kemi Ding , Subhrakanti Dey , Ling Shi

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

Machine Learning · Computer Science 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

We introduce the Projected Push-Pull algorithm that enables multiple agents to solve a distributed constrained optimization problem with private cost functions and global constraints, in a collaborative manner. Our algorithm employs…

Optimization and Control · Mathematics 2023-10-11 Orhan Eren Akgün , Arif Kerem Dayı , Stephanie Gil , Angelia Nedić

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

In decentralized networks, nodes cannot ensure that their shared information will be securely preserved by their neighbors, making privacy vulnerable to inference by curious nodes. Adding calibrated random noise before communication to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Yiming Zhou , Kaiping Xue , Enhong Chen

We consider a distributed optimal power flow formulated as an optimization problem that maximizes a nondifferentiable concave function. Solving such a problem by the existing distributed algorithms can lead to data privacy issues because…

Optimization and Control · Mathematics 2021-10-13 Minseok Ryu , Kibaek Kim

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

Optimization and Control · Mathematics 2024-02-07 Yongqiang Wang , Angelia Nedic

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

Machine Learning · Computer Science 2025-09-24 Furan Xie , Bing Liu , Li Chai

The push-sum algorithm is probably the most important distributed averaging approach over directed graphs, which has been applied to various problems including distributed optimization. This paper establishes the explicit absolute…

Optimization and Control · Mathematics 2023-04-20 Yixuan Lin , Ji Liu

This paper studies distributed stochastic nonconvex optimization problems with compressed communication and differential privacy, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed…

Optimization and Control · Mathematics 2026-03-24 Antai Xie , Xiaoqiang Ren , Xinlei Yi , Tao Yang , Xiaofan Wang

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…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Wei Huo , Xiaomeng Chen , Lingying Huang , Karl Henrik Johansson , Ling Shi

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

This paper addresses the problem of differentially private distributed optimization under limited communication, where each agent aims to keep their cost function private while minimizing the sum of all agents' cost functions. In response,…

Optimization and Control · Mathematics 2023-04-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

Decentralized optimization enables a network of agents to cooperatively optimize an overall objective function without a central coordinator and is gaining increased attention in domains as diverse as control, sensor networks, data mining,…

Optimization and Control · Mathematics 2023-12-27 Yongqiang Wang , Angelia Nedic
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