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Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

Optimization and Control · Mathematics 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

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…

Optimization and Control · Mathematics 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We study distributed algorithms for solving global optimization problems in which the objective function is the sum of local objective functions of agents and the constraint set is given by the intersection of local constraint sets of…

Optimization and Control · Mathematics 2015-03-14 Ilan Lobel , Asuman Ozdaglar , Diego Feijer

In this paper we investigate how standard nonlinear programming algorithms can be used to solve constrained optimization problems in a distributed manner. The optimization setup consists of a set of agents interacting through a…

Optimization and Control · Mathematics 2017-07-18 Ion Matei , John S. Baras

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…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first consider a distributed first-order primal-dual…

Optimization and Control · Mathematics 2021-08-26 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

This paper proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is based on reformulating the original constrained problem…

Optimization and Control · Mathematics 2021-03-12 Priyank Srivastava , Jorge Cortes

We propose a distributed algorithm to solve a dynamic programming problem with multiple agents, where each agent has only partial knowledge of the state transition probabilities and costs. We provide consensus proofs for the presented…

Optimization and Control · Mathematics 2023-06-19 Nikolaus Vertovec , Kostas Margellos

Heterogeneous networks comprise agents with varying capabilities in terms of computation, storage, and communication. In such settings, it is crucial to factor in the operating characteristics in allowing agents to choose appropriate…

Optimization and Control · Mathematics 2022-09-07 Yichuan Li , Petros Voulgaris , Nikolaos M. Freris

In personalized Federated Learning, each member of a potentially large set of agents aims to train a model minimizing its loss function averaged over its local data distribution. We study this problem under the lens of stochastic…

Optimization and Control · Mathematics 2022-02-02 Mathieu Even , Laurent Massoulié , Kevin Scaman

In this paper, we propose a distributed first-order algorithm with backtracking linesearch for solving multi-agent minimisation problems, where each agent handles a local objective involving nonsmooth and smooth components. Unlike existing…

Optimization and Control · Mathematics 2025-05-14 Felipe Atenas , Minh N. Dao , Matthew K. Tam

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

Multiagent Systems · Computer Science 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

Optimization and Control · Mathematics 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong

We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication network and performing computations. In this tutorial, we…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn