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A distributed algorithm is described for finding a common fixed point of a family of m>1 nonlinear maps M_i : R^n -> R^n assuming that each map is a paracontraction and that at least one such common fixed point exists. The common fixed…

Optimization and Control · Mathematics 2018-12-31 Daniel Fullmer , A. Stephen Morse

In the purpose of making the consensus algorithm robust to outliers, consensus on the median value has recently attracted some attention. It has its applicability in for instance constructing a resilient distributed state estimator.…

Systems and Control · Electrical Eng. & Systems 2021-06-21 Jin Gyu Lee

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…

Optimization and Control · Mathematics 2018-12-27 Sahar Khawatmi , Abdelhak M. Zoubir , Ali H. Sayed

We study distributed composite optimization over networks: agents minimize a sum of smooth (strongly) convex functions, the agents' sum-utility, plus a nonsmooth (extended-valued) convex one. We propose a general unified algorithmic…

Optimization and Control · Mathematics 2021-08-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

This paper solves the Sylvester equation in the form of AX+XB=C in a distributed way, and proposes three distributed continuous-time algorithms for three cases. We start with the basic algorithm for solving a least squares solution of the…

Optimization and Control · Mathematics 2019-05-01 Wen Deng , Xianlin Zeng , Yiguang Hong

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

Distributed control/optimization is a promising approach for network systems due to its advantages over centralized schemes, such as robustness, cost-effectiveness, and improved privacy. However, distributed methods can have drawbacks, such…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Chin-Yao Chang

We consider a distributed stochastic optimization problem that is solved by a decentralized network of agents with only local communication between neighboring agents. The goal of the whole system is to minimize a global objective function…

Optimization and Control · Mathematics 2022-11-10 Alexander Rogozin , Mikhail Bochko , Pavel Dvurechensky , Alexander Gasnikov , Vladislav Lukoshkin

Solving optimization problems in multi-agent systems (MAS) involves information exchange between agents. These solutions must be robust to delays and errors that arise from an unreliable wireless network which typically connects the MAS. In…

Dynamical Systems · Mathematics 2019-12-19 Arunselvan Ramaswamy , Adrian Redder , Daniel E. Quevedo

We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functions through local computations and communications. For this…

Optimization and Control · Mathematics 2008-03-11 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John N. Tsitsiklis

This paper considers a distributed optimization problem over a multi-agent network, in which the objective function is a sum of individual cost functions at the agents. We focus on the case when communication between the agents is described…

Optimization and Control · Mathematics 2017-11-01 Chenguang Xi , Van Sy Mai , Ran Xin , Eyad H. Abed , Usman A. Khan

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

Systems and Control · Computer Science 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

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

In the distributed optimization problem for a multi-agent system, each agent knows a local function and must find a minimizer of the sum of all agents' local functions by performing a combination of local gradient evaluations and…

Optimization and Control · Mathematics 2022-06-16 Bryan Van Scoy , Laurent Lessard

In this paper, we study network linear equations subject to digital communications with a finite data rate, where each node is associated with one equation from a system of linear equations. Each node holds a dynamic state and interacts…

Optimization and Control · Mathematics 2018-08-10 Jinlong Lei , Peng Yi , Guodong Shi , Brian D. O. Anderson

Distributed optimization finds many applications in machine learning, signal processing, and control systems. In these real-world applications, the constraints of communication networks, particularly limited bandwidth, necessitate…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Mohammadreza Doostmohammadian , Sérgio Pequito

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

Optimization and Control · Mathematics 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

This paper considers a network of collaborating agents for local resource allocation subject to nonlinear model constraints. In many applications, it is required (or desirable) that the solution be anytime feasible in terms of satisfying…

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…

Optimization and Control · Mathematics 2018-06-08 Ran Xin , Usman A. Khan

Limited by today's physical devices, quantum circuits are usually noisy and difficult to be designed deeply. The novel computing architecture of distributed quantum computing is expected to reduce the noise and depth of quantum circuits. In…

Quantum Physics · Physics 2022-10-05 Jiawei Tan , Ligang Xiao , Daowen Qiu , Le Luo , Paulo Mateus
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