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Byzantine reliable broadcast is a fundamental primitive in distributed systems that allows a set of processes to agree on a message broadcast by a dedicated process, even when some of them are malicious (Byzantine). It guarantees that no…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-01 Veronika Anikina , João Paulo Bezerra , Petr Kuznetsov , Liron Schiff , Stefan Schmid

Consensus over networked agents is typically studied using undirected or directed communication graphs. Undirected graphs enforce symmetry in information exchange, leading to convergence to the average of initial states, while directed…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

We study a general framework for broadcast gossip algorithms which use companion variables to solve the average consensus problem. Each node maintains an initial state and a companion variable. Iterative updates are performed asynchronously…

Systems and Control · Computer Science 2012-09-03 Wu Shaochuan , Michael G. Rabbat

We revisit Byzantine tolerant reliable broadcast with honest dealer algorithms in multi-hop networks. To tolerate Byzantine faulty nodes arbitrarily spread over the network, previous solutions require a factorial number of messages to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Silvia Bonomi , Giovanni Farina , Sébastien Tixeuil

We study a multi-agent resilient consensus problem, where some agents are of the Byzantine type and try to prevent the normal ones from reaching consensus. In our setting, normal agents communicate with each other asynchronously over…

Multiagent Systems · Computer Science 2024-03-13 Liwei Yuan , Hideaki Ishii

The majority of the literature on consensus assumes that protocols are jointly started at all nodes of the distributed system. We show how to remove this problematic assumption in semi-synchronous systems, where messages delays and relative…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-01 Danny Dolev , Christoph Lenzen

Byzantine reliable broadcast is a fundamental problem in distributed computing, which has been studied extensively over the past decades. State-of-the-art algorithms are predominantly based on the approach to share encoded fragments of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-06 Thomas Locher

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

We explore the correctness of the Certified Propagation Algorithm (CPA) [6, 1, 8, 5] in solving broadcast with locally bounded Byzantine faults. CPA allows the nodes to use only local information regarding the network topology. We provide a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-25 Lewis Tseng , Nitin Vaidya , Vartika Bhandari

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

We present two distributed algorithms for the {\em Byzantine counting problem}, which is concerned with estimating the size of a network in the presence of a large number of Byzantine nodes. In an $n$-node network ($n$ is unknown), our…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-27 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Information Theory · Computer Science 2016-11-15 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

In this paper, we show synchronization for a group of output passive agents that communicate with each other according to an underlying communication graph to achieve a common goal. We propose a distributed event-triggered control framework…

Systems and Control · Computer Science 2017-10-02 Arash Rahnama , Panos J. Antsaklis

This paper describes a simple and efficient Binary Byzantine faulty tolerant consensus algorithm using a weak round coordinator and the partial synchrony assumption to ensure liveness. In the algorithm, non-faulty nodes perform an initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-23 Tyler Crain

We study the fundamental problem of counting the number of nodes in a sparse network (of unknown size) under the presence of a large number of Byzantine nodes. We assume the full information model where the Byzantine nodes have complete…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

To improve the overall efficiency and reliability of Byzantine protocols in large sparse networks, we propose a new system assumption for developing multi-scale fault-tolerant systems, with which several kinds of multi-scale Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang , Yulong Zhan

For reaching efficient deterministic synchronous Byzantine agreement upon partially connected networks, the traditional broadcast primitive is extended and integrated with a general framework. With this, the Byzantine agreement is extended…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-09 Shaolin Yu , Jihong Zhu , Jiali Yang , Wei Lu

Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, but unknown beforehand, location. Robots are oblivious-- they…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-05-26 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

Standard federated learning algorithms are vulnerable to adversarial nodes, a.k.a. Byzantine failures. To solve this issue, robust distributed learning algorithms have been developed, which typically replace parameter averaging by robust…

Machine Learning · Computer Science 2026-02-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx