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Recent advancements in machine learning have improved performance while also increasing computational demands. While federated and distributed setups address these issues, their structures remain vulnerable to malicious influences. In this…

We study the task of Byzantine gathering in a network modeled as a graph. Despite the presence of Byzantine agents, all the other (good) agents, starting from possibly different nodes and applying the same deterministic algorithm, have to…

Data Structures and Algorithms · Computer Science 2018-01-24 Sébastien Bouchard , Yoann Dieudonné , Anissa Lamani

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

Modern networks assemble an ever growing number of nodes. However, it remains difficult to increase the number of channels per node, thus the maximal degree of the network may be bounded. This is typically the case in grid topology…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-18 Alexandre Maurer , Sébastien Tixeuil

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

Byzantine agreement, the underlying core of blockchain, aims to make every node in a decentralized network reach consensus. Classical Byzantine agreements unavoidably face two major problems. One is $1/3$ fault-tolerance bound, which means…

Byzantine reliable broadcast is a powerful primitive that allows a set of processes to agree on a message from a designated sender, even if some processes (including the sender) are Byzantine. Existing broadcast protocols for this setting…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-21 Rachid Guerraoui , Petr Kuznetsov , Matteo Monti , Matej Pavlovic , Dragos-Adrian Seredinschi , Yann Vonlanthen

Efficient asynchronous Byzantine agreement (BA) protocols were mostly studied with private setups, e.g., pre-setup threshold cryptosystem. Challenges remain to reduce the large communication in the absence of such setups. Recently, Abraham…

Cryptography and Security · Computer Science 2022-04-28 Yingzi Gao , Yuan Lu , Zhenliang Lu , Qiang Tang , Jing Xu , Zhenfeng Zhang

We study the problem of Byzantine fault tolerance in a distributed optimization setting, where there is a group of $N$ agents communicating with a trusted centralized coordinator. Among these agents, there is a subset of $f$ agents that may…

Optimization and Control · Mathematics 2023-12-19 Amit Dutta , Thinh T. Doan , Jeffrey H. Reed

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

Byzantine agreement, arguably the most fundamental problem in distributed computing, operates among n processes, out of which t < n can exhibit arbitrary failures. The problem states that all correct (non-faulty) processes must eventually…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Anton Paramonov , Manuel Vidigueira

Distributed learning has become a promising computational parallelism paradigm that enables a wide scope of intelligent applications from the Internet of Things (IoT) to autonomous driving and the healthcare industry. This paper studies…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Yuhan Yang , Youlong Wu , Yuning Jiang , Yuanming Shi

We address the problem of Reliable Broadcast in asynchronous message-passing systems with $n$ nodes, of which up to $t$ are malicious (faulty), in addition to a message adversary that can drop some of the messages sent by correct…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-15 Timothé Albouy , Davide Frey , Ran Gelles , Carmit Hazay , Michel Raynal , Elad Michael Schiller , François Taïani , Vassilis Zikas

As Byzantine Agreement (BA) protocols find application in large-scale decentralized cryptocurrencies, an increasingly important problem is to design BA protocols with improved communication complexity. A few existing works have shown how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Ittai Abraham , T-H. Hubert Chan , Danny Dolev , Kartik Nayak , Rafael Pass , Ling Ren , Elaine Shi

Byzantine broadcast (BB) and Byzantine agreement (BA) are two most fundamental problems and essential building blocks in distributed computing, and improving their efficiency is of interest to both theoreticians and practitioners. In this…

Cryptography and Security · Computer Science 2020-10-07 Kartik Nayak , Ling Ren , Elaine Shi , Nitin H. Vaidya , Zhuolun Xiang

The Byzantine agreement problem requires a set of $n$ processes to agree on a value sent by a transmitter, despite a subset of $b$ processes behaving in an arbitrary, i.e. Byzantine, manner and sending corrupted messages to all processes in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-30 Cheng Wang , Carole Delporte-Gallet , Hugues Fauconnier , Rachid Guerraoui , Anne-Marie Kermarrec

This paper investigates the problem of decentralized resource allocation in the presence of Byzantine attacks. Such attacks occur when an unknown number of malicious agents send random or carefully crafted messages to their neighbors,…

Optimization and Control · Mathematics 2024-09-10 Runhua Wang , Qing Ling , Zhi Tian

Distributed learning has become a necessity for training ever-growing models by sharing calculation among several devices. However, some of the devices can be faulty, deliberately or not, preventing the proper convergence. As a matter of…

Machine Learning · Computer Science 2022-02-08 Jason Akoun , Sebastien Meyer

This report contains two related sets of results with different assumptions on synchrony. The first part is about iterative algorithms in synchronous systems. Following our previous work on synchronous iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-19 Nitin Vaidya , Lewis Tseng , Guanfeng Liang

This paper considers the problem of Byzantine dispersion and extends previous work along several parameters. The problem of Byzantine dispersion asks: given $n$ robots, up to $f$ of which are Byzantine, initially placed arbitrarily on an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses