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In this paper, we present distributed fault-tolerant algorithms that approximate the centroid (i.e., the average) of a set of $n$ data points in $\mathbb{R}^d$. Our work falls into the broader area of multidimensional Byzantine approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-10 Melanie Cambus , Darya Melnyk

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

This paper considers the problem of Byzantine fault-tolerance in multi-agent decentralized optimization. In this problem, each agent has a local cost function. The goal of a decentralized optimization algorithm is to allow the agents to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-01 Nirupam Gupta , Thinh T. Doan , Nitin H. Vaidya

We study the gathering problem to make multiple agents initially scattered in arbitrary networks gather at a single node. There exist $k$ agents with unique identifiers (IDs) in the network, and $f$ of them are weakly Byzantine agents,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Jion Hirose , Junya Nakamura , Fukuhito Ooshita , Michiko Inoue

In this paper, we give a deterministic two-step Byzantine consensus protocol that achieves safety and liveness. A two-step Byzantine consensus protocol only needs two communication steps to commit in the absence of faults. Most two-step…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-26 Tung-Wei Kuo , Kung Chen

Consider a distributed system with $n$ processors out of which $f$ can be Byzantine faulty. In the approximate agreement task, each processor $i$ receives an input value $x_i$ and has to decide on an output value $y_i$ such that - the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Thomas Nowak , Joel Rybicki

This paper considers the problem of achieving exact Byzantine consensus in a synchronous system under a local-broadcast communication model. The nodes communicate with each other via message-passing. The communication network is modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-22 Syed Shalan Naqvi , Muhammad Samir Khan , Nitin H. Vaidya

Communication efficiency and robustness are two major issues in modern distributed learning framework. This is due to the practical situations where some computing nodes may have limited communication power or may behave adversarial…

Machine Learning · Statistics 2021-03-02 Xingcai Zhou , Le Chang , Pengfei Xu , Shaogao Lv

Byzantine fault tolerant protocols enable state replication in the presence of crashed, malfunctioning, or actively malicious processes. Designing such protocols without the assistance of verification tools, however, is remarkably…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Joel Wanner , Laurent Chuat , Adrian Perrig

An urgent demand of deploying BFT consensus over the Internet is raised for implementing blockchain services. The deterministic (partial) synchronous protocols can be simple and fast in good network conditions, but are subject to…

Cryptography and Security · Computer Science 2022-09-02 Yuan Lu , Zhenliang Lu , Qiang Tang

This paper utilizes the properties of type-based multiple access (TBMA) to investigate its effectiveness as a robust approach for over-the-air computation (AirComp) in the presence of Byzantine attacks, this is, adversarial strategies where…

Signal Processing · Electrical Eng. & Systems 2025-02-27 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

In this paper, we consider the Byzantine reliable broadcast problem on authenticated and partially connected networks. The state-of-the-art method to solve this problem consists in combining two algorithms from the literature. Handling…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-27 Silvia Bonomi , Jérémie Decouchant , Giovanni Farina , Vincent Rahli , Sébastien Tixeuil

This paper studies the {\em good-case latency} of {\em unauthenticated} Byzantine fault-tolerant broadcast, which measures the time it takes for all non-faulty parties to commit given a non-faulty broadcaster. For both asynchrony and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Ittai Abraham , Ling Ren , Zhuolun Xiang

Reliable broadcast is a communication primitive guaranteeing, intuitively, that all processes in a distributed system deliver the same set of messages. The reason why this primitive is appealing is twofold: (i) we can implement it…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Rachid Guerraoui , Jovan Komatovic , Petr Kuznetsov , Yvonne-Anne Pignolet , Dragos-Adrian Seredinschi , Andrei Tonkikh

Permissionless blockchain protocols are known to consume an outrageous amount of computing power and suffer from a trade-off between latency and confidence in transaction confirmation. The recently proposed Algorand blockchain protocol…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-03 Kadir Korkmaz , Joachim Bruneau-Queyreix , Sonia Ben Mokthar , Laurent Réveillère

In communication theory, attacks like eavesdropping or jamming are typically assumed to occur at the channel level, while communication parties are expected to follow established protocols. But what happens if one of the parties turns…

Information Theory · Computer Science 2025-03-25 Minglai Cai , Christian Deppe

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

We propose a new protocol for the generalized consensus problem in asynchronous systems subject to Byzantine server failures. The protocol solves the consensus problem in a setting in which information about conflict between transactions is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Rida Bazzi , Maurice Herlihy

Self-stabilization is a versatile approach to fault-tolerance since it permits a distributed system to recover from any transient fault that arbitrarily corrupts the contents of all memories in the system. Byzantine tolerance is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-31 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

Recent advances in generative AI have enabled sophisticated multi-agent architectures for healthcare, where large language models power collaborative clinical decision-making. However, these distributed systems face critical challenges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Nihir Chadderwala