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Consensus algorithms provide strategies to solve problems in a distributed system with the added constraint that data can only be shared between adjacent computing nodes. We find these algorithms in applications for wireless and sensor…

Cryptography and Security · Computer Science 2016-11-15 Michel Toulouse , Hai Le , Cao Vien Phung , Denis Hock

In this work, we study the approximate consensus problem in asynchronous message-passing networks where some nodes may become Byzantine faulty. We answer an open problem raised by Tseng and Vaidya, 2012, proposing the first algorithm of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Dimitris Sakavalas , Lewis Tseng , Nitin H. Vaidya

The concept of distributed consensus originated in the 1970s and gained widespread attention following Leslie Lamport's influential publication on the Byzantine Generals Problem in the 1980s. Over the past five decades, distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Huanyu Wu , Chentao Yue , Yixuan Fan , Yonghui Li , Lei Zhang

Existing Byzantine fault-tolerant (BFT) consensus protocols address only threshold failures, where the participating nodes fail independently of each other, each one fails equally likely, and the protocol's guarantees follow from a simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Orestis Alpos , Christian Cachin

In the wake of the decisive impossibility result of Fischer, Lynch, and Paterson for deterministic consensus protocols in the aynchronous model with just one failure, Ben-Or and Bracha demonstrated that the problem could be solved with…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-08 Allison Lewko

In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-11 Hammurabi Mendes , Christine Tasson , Maurice Herlihy

We consider the convergence time for solving the binary consensus problem using the interval consensus algorithm proposed by B\' en\' ezit, Thiran and Vetterli (2009). In the binary consensus problem, each node initially holds one of two…

Probability · Mathematics 2012-02-07 Moez Draief , Milan Vojnovic

We study the problem of rank aggregation where the goal is to obtain a global ranking by aggregating pair-wise comparisons of voters over a set of items. We consider an adversarial setting where the voters are partitioned into two sets. The…

Machine Learning · Computer Science 2022-11-16 Arnhav Datar , Arun Rajkumar , John Augustine

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

We study fault-tolerant distributed optimization of a sum of convex (cost) functions with real-valued scalar input/output in the presence of crash faults or Byzantine faults. In particular, the goal is to optimize a global cost function…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Lili Su , Nitin Vaidya

Byzantine Fault Tolerant (BFT) consensus exhibits higher throughput in comparison to Proof of Work (PoW) in blockchains. But BFT-based protocols suffer from scalability problems with respect to the number of replicas in the network. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Mohammad M. Jalalzai , Costas Busch , Golden Richard

In a practical Byzantine fault tolerance (PBFT) blockchain network, the voting nodes may always leave the network while some new nodes can also enter the network, thus the number of voting nodes is constantly changing. Such a new PBFT with…

Performance · Computer Science 2022-10-26 Yan-Xia Chang , Quan-Lin Li , Qing Wang , Xing-Shuo Song

This paper proposes a Byzantine-resilient consensus framework that simultaneously pursues two tightly coupled objectives: actively identifying Byzantine agents and guaranteeing resilient consensus among normal agents. Unlike existing…

Optimization and Control · Mathematics 2026-05-13 Rui Huang , Changxin Liu , Wen-Hua Chen , Yang Shi

In this work, we formalize a novel shared memory model inspired by the popular GPU architecture. Within this model, we develop algorithmic solutions to the Byzantine Consensus problem and analyze their fault-resilience.

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-23 Chryssis Georgiou , Manaswini Piduguralla , Sathya Peri

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

In this paper, a fully distributed averaging algorithm in the presence of adversarial Byzantine agents is proposed. The algorithm is based on a resilient retrieval procedure, where all non-Byzantine nodes send their own initial values and…

Multiagent Systems · Computer Science 2021-07-28 Mostafa Safi , Seyed Mehran Dibaji

Arma is a Byzantine Fault Tolerant (BFT) consensus system designed to achieve horizontal scalability across all hardware resources: network bandwidth, CPU, and disk I/O. As opposed to preceding BFT protocols, Arma separates the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-29 Yacov Manevich , Hagar Meir , Kaoutar Elkhiyaoui , Yoav Tock , May Buzaglo

A set $X$ of vertices of an acyclic digraph $D$ is convex if $X\neq \emptyset$ and there is no directed path between vertices of $X$ which contains a vertex not in $X$. A set $X$ is connected if $X\neq \emptyset$ and the underlying…

Discrete Mathematics · Computer Science 2007-12-18 P. Balister , S. Gerke , G. Gutin , A. Johnstone , J. Reddington , E. Scott , A. Soleimanfallah , A. Yeo

We consider the gathering task by a team of $m$ synchronous mobile robots in a graph of $n$ nodes. Each robot has an identifier (ID) and runs its own deterministic algorithm, i.e., there is no centralized coordinator. We consider a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Avery Miller , Ullash Saha

In Part I of this report, we introduced a Byzantine fault-tolerant distributed optimization problem whose goal is to optimize a sum of convex (cost) functions with real-valued scalar input/ouput. In this second part, we introduce a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-08 Lili Su , Nitin Vaidya