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We present an optimization framework that solves constrained multi-agent optimization problems while keeping each agent's state differentially private. The agents in the network seek to optimize a local objective function in the presence of…

Optimization and Control · Mathematics 2017-08-29 Matthew Hale , Magnus Egerstedt

Multi-agent coordination problems often require agents to exchange state information in order to reach some collective goal, such as agreement on a final state value. In some cases, it is feasible that opportunistic agents may deceptively…

Optimization and Control · Mathematics 2016-11-09 M. T. Hale , M. Egerstedt

Many resource allocation problems can be formulated as an optimization problem whose constraints contain sensitive information about participating users. This paper concerns solving this kind of optimization problem in a distributed manner…

Optimization and Control · Mathematics 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

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

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…

Optimization and Control · Mathematics 2020-05-25 Roel Dobbe , Ye Pu , Jingge Zhu , Kannan Ramchandran , Claire Tomlin

Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Ziqin Chen , Yongqiang Wang

We study a class of distributed convex constrained optimization problems where a group of agents aim to minimize the sum of individual objective functions while each desires that any information about its objective function is kept private.…

Optimization and Control · Mathematics 2016-09-30 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

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 develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

Cryptography and Security · Computer Science 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

We present and analyze a computational hybrid architecture for performing multi-agent optimization. The optimization problems under consideration have convex objective and constraint functions with mild smoothness conditions imposed on…

Optimization and Control · Mathematics 2015-08-26 Matthew T. Hale , Angelia Nedic , Magnus Egerstedt

Planning is one of the main approaches used to improve agents' working efficiency by making plans beforehand. However, during planning, agents face the risk of having their private information leaked. This paper proposes a novel strong…

Artificial Intelligence · Computer Science 2022-12-06 Dayong Ye , Tianqing Zhu , Sheng Shen , Wanlei Zhou , Philip S. Yu

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

Optimization and Control · Mathematics 2023-03-01 Minseok Ryu , Kibaek Kim

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

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

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

This paper studies how to apply differential privacy to constrained optimization problems whose inputs are sensitive. This task raises significant challenges since random perturbations of the input data often render the constrained…

Optimization and Control · Mathematics 2021-01-07 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

This paper studies the problem of multi-agent computation under the differential privacy requirement of the agents' local datasets against eavesdroppers having node-to-node communications. We first propose for the network equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-06 Lei Wang , Yang Liu , Ian Manchester , Guodong Shi

Differential privacy enables organizations to collect accurate aggregates over sensitive data with strong, rigorous guarantees on individuals' privacy. Previous work has found that under differential privacy, computing multiple correlated…

Databases · Computer Science 2016-05-18 Ganzhao Yuan , Yin Yang , Zhenjie Zhang , Zhifeng Hao
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