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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

This paper focuses on decentralized stochastic optimization in the presence of Byzantine attacks. During the optimization process, an unknown number of malfunctioning or malicious workers, termed as Byzantine workers, disobey the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Zhaoxian Wu , Tianyi Chen , Qing Ling

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

We consider the following problem: two nodes want to reliably communicate in a dynamic multihop network where some nodes have been compromised, and may have a totally arbitrary and unpredictable behavior. These nodes are called Byzantine.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Alexandre Maurer , Sébastien Tixeuil , Xavier Défago

In this paper, we consider the Byzantine-robust stochastic optimization problem defined over decentralized static and time-varying networks, where the agents collaboratively minimize the summation of expectations of stochastic local cost…

Optimization and Control · Mathematics 2020-12-21 Jie Peng , Weiyu Li , Qing Ling

At PODC 2014, A. Most\'efaoui, H. Moumen, and M. Raynal presented a new and simple randomized signature-free binary consensus algorithm (denoted here MMR) that copes with the net effect of asynchrony Byzantine behaviors. Assuming message…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-24 Chryssis Georgiou , Ioannis Marcoullis , Michel Raynal , Elad Michael Schiller

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 a first-order distributed optimization algorithm that is provably robust to Byzantine failures-arbitrary and potentially adversarial behavior, where all the participating agents are prone to failure. We model each…

Optimization and Control · Mathematics 2022-07-27 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

Among those faults Byzantine faults offers serious challenge to fault tolerance mechanism, because it often go undetected at the initial stage and it can easily propagate to other VMs before a detection is made. Consequently some of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-06 Sathya Chinnathambi , Agilan Santhanam

In this article, we investigate the solvability of $k$-set agreement among $n$ processes in distributed systems prone to different types of process failures. Specifically, we explore two scenarios: synchronous message-passing systems prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Delporte-Gallet Carole , Fauconnier Hugues , Safir Mouna

Canonical asynchronous rounds are a widely used abstraction for structuring distributed algorithms, making asynchronous executions appear synchronous and enabling modular reasoning. We show that this abstraction is fundamentally…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Hagit Attiya , Itay Flam , Jennifer L. Welch

We study the convergence problem in fully asynchronous, uni-dimensional robot networks that are prone to Byzantine (i.e. malicious) failures. In these settings, oblivious anonymous robots with arbitrary initial positions are required to…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-08-05 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

This paper describes a simple and efficient asynchronous Binary Byzantine faulty tolerant consensus algorithm. In the algorithm, non-faulty nodes perform an initial broadcast followed by a executing a series of rounds each consisting of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-12 Tyler Crain

Existing protocols for byzantine fault tolerant distributed systems usually rely on the correct agents' ability to detect faulty agents and/or to detect the occurrence of some event or action on some correct agent. In this paper, we provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Thomas Schlögl , Ulrich Schmid

Both Byzantine resilience and communication efficiency have attracted tremendous attention recently for their significance in edge federated learning. However, most existing algorithms may fail when dealing with real-world irregular data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Youming Tao , Sijia Cui , Wenlu Xu , Haofei Yin , Dongxiao Yu , Weifa Liang , Xiuzhen Cheng

We consider the problem of maximizing the throughput of Byzantine consensus, when communication links have finite capacity. Byzantine consensus is a classical problem in distributed computing. In existing literature, the communication links…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-04 Guanfeng Liang , Nitin Vaidya

In this paper, we study the problem of distributed training (DT) under Byzantine attacks with communication constraints. While prior work has developed various robust aggregation rules at the server to enhance robustness to Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Chengxi Li , Youssef Allouah , Rachid Guerraoui , Mikael Skoglund , Ming Xiao

The Reliable Broadcast concept allows an honest party to send a message to all other parties and to make sure that all honest parties receive this message. In addition, it allows an honest party that received a message to know that all…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Danny Dolev , Meir Spielrien

The ordered transmission (OT) scheme reduces the number of transmissions needed in the network to make the final decision, while it maintains the same probability of error as the system without using OT scheme. In this paper, we investigate…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Chen Quan , Saikiran Bulusu , Baocheng Geng , Pramod K. Varshney

We consider the problem of reliably broadcasting information in a multihop asynchronous network in the presence of Byzantine failures: some nodes may exhibit unpredictable malicious behavior. We focus on completely decentralized solutions.…

Data Structures and Algorithms · Computer Science 2013-12-10 Alexandre Maurer , Sébastien Tixeuil
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