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In this paper, we propose a new framework to study distributed optimization problems with stochastic gradients by employing a multi-agent system with continuous-time dynamics. Here the goal of the agents is to cooperatively minimize the sum…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Jianhua Sun , Kaihong Lu , Xin Yu

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

Multiagent Systems · Computer Science 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

Systems and Control · Computer Science 2014-12-30 Chenda Liao , Prabir Barooah

Distributed averaging, or distributed average consensus, is a common method for computing the sample mean of the data dispersed among the nodes of a network in a decentralized manner. By iteratively exchanging messages with neighbors, the…

Information Theory · Computer Science 2017-10-26 Ryan Pilgrim , Junan Zhu , Dror Baron , Waheed U. Bajwa

Graph-theoretic methods have seen wide use throughout the literature on multi-agent control and optimization. When communications are intermittent and unpredictable, such networks have been modeled using random communication graphs. When…

Optimization and Control · Mathematics 2020-08-12 Beth Bjorkman , Matthew Hale , Thomas Lamkin , Benjamin Robinson , Craig Thompson

The consensus problem in distributed computing involves a network of agents aiming to compute the average of their initial vectors through local communication, represented by an undirected graph. This paper focuses on the studying of this…

Optimization and Control · Mathematics 2024-11-26 Nhat Trung Nguyen , Alexander Rogozin , Alexander Gasnikov

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

Physics and Society · Physics 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss

We consider distributed detection problems over adaptive networks, where dispersed agents learn continually from streaming data by means of local interactions. The simultaneous requirements of adaptation and cooperation are achieved by…

Multiagent Systems · Computer Science 2016-01-27 Vincenzo Matta , Paolo Braca , Stefano Marano , Ali H. Sayed

Existing works on distributed consensus explore linear iterations based on reversible Markov chains, which contribute to the slow convergence of the algorithms. It has been observed that by overcoming the diffusive behavior of reversible…

Information Theory · Computer Science 2016-11-18 Wenjun Li , Yanbing Zhang , Huaiyu Dai

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

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

Systems and Control · Computer Science 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

Approximate agreement is one of the few variants of consensus that can be solved in a wait-free manner in asynchronous systems where processes communicate by reading and writing to shared memory. In this work, we consider a natural…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-17 Dan Alistarh , Faith Ellen , Joel Rybicki

In several settings (e.g., sensor networks and social networks), nodes of a graph are equipped with initial opinions, and the goal is to estimate the average of these opinions using local operations. A natural algorithm to achieve this is…

Probability · Mathematics 2025-04-29 Dor Elboim , Yuval Peres , Ron Peretz

We analyze a stochastic approximation algorithm for decision-dependent problems, wherein the data distribution used by the algorithm evolves along the iterate sequence. The primary examples of such problems appear in performative prediction…

Optimization and Control · Mathematics 2024-05-15 Joshua Cutler , Mateo Díaz , Dmitriy Drusvyatskiy

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

Data Structures and Algorithms · Computer Science 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

The mixing time of a graph is an important metric, which is not only useful in analyzing connectivity and expansion properties of the network, but also serves as a key parameter in designing efficient algorithms. We introduce a new notion…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-09 Anisur Rahaman Molla , Gopal Pandurangan

Social sampling is a novel randomized message passing protocol inspired by social communication for opinion formation in social networks. In a typical social sampling algorithm, each agent holds a sample from the empirical distribution of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Liu , Xingkang He , Haitao Fang

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes. In this model, each node has bounded computation and storage capabilities that do not grow with the network size.…

Optimization and Control · Mathematics 2011-06-28 Julien M. Hendrickx , Alex Olshevsky , John N. Tsitsiklis

We consider the problem of achieving average consensus among multiple agents, where the inter-agent communication network is depicted by a graph. We consider the discrete-time consensus protocol where each agent updates its value as a…

Systems and Control · Electrical Eng. & Systems 2021-11-30 Kiran Rokade , Rachel Kalpana Kalaimani