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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

We propose Byzantine-robust federated learning protocols with nearly optimal statistical rates. In contrast to prior work, our proposed protocols improve the dimension dependence and achieve a tight statistical rate in terms of all the…

Machine Learning · Computer Science 2023-03-21 Banghua Zhu , Lun Wang , Qi Pang , Shuai Wang , Jiantao Jiao , Dawn Song , Michael I. Jordan

The ability to perform repeated Byzantine agreement lies at the heart of important applications such as blockchain price oracles or replicated state machines. Any such protocol requires the following properties: (1) \textit{Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Shlomi Dolev , Amit Hendin , Maurice Herlihy , Maria Potop Butucaru , Elad Michael Schiller

This paper considers the good-case latency of Byzantine Reliable Broadcast (BRB), i.e., the time taken by correct processes to deliver a message when the initial sender is correct. This time plays a crucial role in the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-13 Timothé Albouy , Davide Frey , Michel Raynal , François Taïani

In this report, we investigate the multi-valued Byzantine consensus problem. We introduce two algorithms: the first one achieves traditional validity requirement for consensus, and the second one achieves a stronger "q-validity"…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-10 Guanfeng Liang , Nitin Vaidya

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

This paper proposes the first implementation of an atomic storage tolerant to mobile Byzantine agents. Our implementation is designed for the round-based synchronous model where the set of Byzantine nodes changes from round to round. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-27 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru

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

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

We consider the problem of reliably broadcasting information in a multihop asyn- chronous network that is subject to Byzantine failures. That is, some nodes of the network can exhibit arbitrary (and potentially malicious) behavior. Existing…

Data Structures and Algorithms · Computer Science 2012-01-30 Alexandre Maurer , Sébastien Tixeuil

This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each directed link of the underlying communication graph represents a communication channel between a pair of nodes. We adopt…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Lewis Tseng , Nitin Vaidya

The resilient consensus problem is investigated in this paper for a class of networked Euler-Lagrange systems with event-triggered communication in the presence of Byzantine attacks. One challenge that we face in addressing the considered…

Optimization and Control · Mathematics 2025-07-22 Yuliang Fu , Guanghui Wen , Dan Zhao , Wei Xing Zheng , Xiaolei Li

Minimizing end-to-end latency in geo-replicated systems usually makes it necessary to compromise on resilience, resource efficiency, or throughput performance, because existing approaches either tolerate only crashes, require additional…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-08 Michael Eischer , Tobias Distler

The Dolev-Reischuk bound says that any deterministic Byzantine consensus protocol has (at least) quadratic communication complexity in the worst case. While it has been shown that the bound is tight in synchronous environments, it is still…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-07 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Vincent Gramoli , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

Network coding achieves optimal throughput in multicast networks. However, throughput optimality \emph{relies} on the network nodes or routers to code \emph{correctly}. A Byzantine node may introduce junk packets in the network (thus…

Networking and Internet Architecture · Computer Science 2011-08-11 Raluca Ada Popa , Alessandro Chiesa , Tural Badirkhanli , Muriel Médard

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

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

Byzantine fault-tolerant (BFT) consensus algorithms are at the core of providing safety and liveness guarantees for distributed systems that must operate in the presence of arbitrary failures. Recently, numerous new BFT algorithms have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-06 Gengrui Zhang , Fei Pan , Yunhao Mao , Sofia Tijanic , Michael Dang'ana , Shashank Motepalli , Shiquan Zhang , Hans-Arno Jacobsen

Byzantine Agreement introduced in [Pease, Shostak, Lamport, 80] is a widely used building block of reliable distributed protocols. It simulates broadcast despite the presence of faulty parties within the network, traditionally using only…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-03 Jeffrey Considine , Leonid A. Levin , David Metcalf

Optimum decision fusion in the presence of malicious nodes - often referred to as Byzantines - is hindered by the necessity of exactly knowing the statistical behavior of Byzantines. By focusing on a simple, yet widely studied, set-up in…

Systems and Control · Computer Science 2015-07-03 Andrea Abrardo , Mauro Barni , Kassem Kallas , Benedetta Tondi