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Average consensus is key for distributed networks, with applications ranging from network synchronization, distributed information fusion, decentralized control, to load balancing for parallel processors. Existing average consensus…

Systems and Control · Computer Science 2018-12-07 Huan Gao , Yongqiang Wang

This paper studies the average consensus problem with differential privacy of initial states, for which it is widely recognized that there is a trade-off between the mean-square computation accuracy and privacy level. Considering the…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Lei Wang , Weijia Liu , Fanghong Guo , Zixin Qiao , Zhengguang Wu

This paper addresses the problem of robust estimation in gossip algorithms over arbitrary communication graphs. Gossip algorithms are fully decentralized, relying only on local neighbor-to-neighbor communication, making them well-suited for…

Machine Learning · Statistics 2026-01-01 Anna Van Elst , Igor Colin , Stephan Clémençon

We consider a decentralized optimization problem, in which $n$ nodes collaborate to optimize a global objective function using local communications only. While many decentralized algorithms focus on \emph{gossip} communications (pairwise…

Optimization and Control · Mathematics 2022-05-31 Hadrien Hendrikx

We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

Consider a connected network of agents endowed with local cost functions representing private objectives. Agents seek to find an agreement on some minimizer of the aggregate cost, by means of repeated communications between neighbors.…

Optimization and Control · Mathematics 2013-09-30 Walid Ben-Ameur , Pascal Bianchi , Jérémie Jakubowicz

Gossip algorithms are attractive for in-network processing in sensor networks because they do not require any specialized routing, there is no bottleneck or single point of failure, and they are robust to unreliable wireless network…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Alexandros G. Dimakis , Soummya Kar , Jose M. F. Moura , Michael G. Rabbat , Anna Scaglione

Gossip protocols are widely used to disseminate information in massive peer-to-peer networks. These protocols are often claimed to guarantee privacy because of the uncertainty they introduce on the node that started the dissemination. But…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-05 Aurélien Bellet , Rachid Guerraoui , Hadrien Hendrikx

This paper aims at secure and privacy preserving consensus algorithms of networked systems. Due to the technical challenges behind decentralized design of such algorithms, the existing results are mainly restricted to a network of systems…

Systems and Control · Computer Science 2021-09-01 Wentuo Fang , Mohsen Zamani , Zhiyong Chen

This paper describes and analyzes a hierarchical gossip algorithm for solving the distributed average consensus problem in wireless sensor networks. The network is recursively partitioned into subnetworks. Initially, nodes at the finest…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-29 Konstantinos I. Tsianos , Michael G. Rabbat

Due to their flexibility, battery powered or energy-harvesting wireless networks are employed in diverse applications. Securing data transmissions between wireless devises is of critical importance in order to avoid privacy-sensitive user…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

In this paper we show how the stochastic heavy ball method (SHB) -- a popular method for solving stochastic convex and non-convex optimization problems --operates as a randomized gossip algorithm. In particular, we focus on two special…

Optimization and Control · Mathematics 2018-09-25 Nicolas Loizou , Peter Richtárik

By the distributed averaging problem is meant the problem of computing the average value of a set of numbers possessed by the agents in a distributed network using only communication between neighboring agents. Gossiping is a well-known…

Optimization and Control · Mathematics 2016-12-28 Ji Liu , Shaoshuai Mou , A. Stephen Morse , Brian D. O. Anderson , Changbin Yu

Gossip algorithms are widely used in modern distributed systems, with applications ranging from sensor networks and peer-to-peer networks to mobile vehicle networks and social networks. A tremendous research effort has been devoted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Bo Li , Mikael Johansson , Karl Henrik Johansson

Distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in-network collaborative processing. This paper focuses on…

Systems and Control · Computer Science 2015-12-14 Saber Jafarizadeh

Gossip algorithms for aggregation have recently received significant attention for sensor network applications because of their simplicity and robustness in noisy and uncertain environments. However, gossip algorithms can waste significant…

Information Theory · Computer Science 2007-07-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

This paper investigates the differentially private bipartite consensus algorithm over signed networks. The proposed algorithm protects each agent's sensitive information by adding noise with time-varying variances to the…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jimin Wang , Jieming Ke , Ji-Feng Zhang

We consider two variants of the classical gossip algorithm. The first variant is a version of asynchronous stochastic approximation. We highlight a fundamental difficulty associated with the classical asynchronous gossip scheme, viz., that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Vivek S. Borkar , Rahul Makhijani , Rajesh Sundaresan

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has been the subject of a good deal of attention, computation of…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

Gossip algorithms is a common term to describe protocols for unreliable information dissemination in natural networks, which are not optimally designed for efficient communication between network entities. We consider application of gossip…

Quantum Physics · Physics 2016-11-22 Michael Siomau