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In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

We introduce and solve the problem of Byzantine fault tolerant distributed quickest change detection in both continuous and discrete time setups. In this problem, multiple sensors sequentially observe random signals from the environment and…

Probability · Mathematics 2014-12-30 Erhan Bayraktar , Lifeng Lai

Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, but unknown beforehand, location. Robots are oblivious-- they…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-05-26 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

We propose the first deterministic algorithm that tolerates up to $f$ byzantine faults in $3f+1$-sized networks and performs in the asynchronous CORDA model. Our solution matches the previously established lower bound for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

The accelerated digitalisation of society along with technological evolution have extended the geographical span of cyber-physical systems. Two main threats have made the reliable and real-time control of these systems challenging: (i)…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-19 David Kozhaya , Jeremie Decouchant , Vincent Rahli , Paulo Esteves-Verissimo

We consider the problem of fault-tolerant parallel search on an infinite line by $n$ robots. Starting from the origin, the robots are required to find a target at an unknown location. The robots can move with maximum speed $1$ and can…

Data Structures and Algorithms · Computer Science 2016-11-28 Jurek Czyzowicz , Konstantinos Georgiou , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Sunil Shende

In this report, we study the problem of Byzantine fault-tolerant distributed set intersection and the importance of redundancy in solving this problem. Specifically, consider a distributed system with $n$ agents, each of which has a local…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-15 Shuo Liu , Nitin H. Vaidya

The synchronized activity of neuronal populations can lead to pathological over-synchronization in conditions such as epilepsy and Parkinson disease. Such states can be desynchronized by brief electrical pulses. But when the underlying…

Neurons and Cognition · Quantitative Biology 2026-03-16 Ramón Guevara , Marco Zenari , Giorgio Nicoletti , Elisa Marini , Samir Suweis , Sandro Azaele , Marco Formentin

In this paper, we study the Byzantine lattice agreement problem in synchronous systems. The lattice agreement problem in crash failure model has been studied both in synchronous and asynchronous systems, which leads to the current best…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Xiong Zheng , Vijay Garg

Byzantine fault tolerance (BFT) consensus is a fundamental primitive for distributed computation. However, BFT protocols suffer from the ordering manipulation, in which an adversary can make front-running. Several protocols are proposed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Guangren Wang , Liang Cai , Fangyu Gai , Jianyu Niu

Synchronizing clocks in distributed systems is well-understood, both in terms of fault-tolerance in fully connected systems and the dependence of local and global worst-case skews (i.e., maximum clock difference between neighbors and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 Johannes Bund , Christoph Lenzen , Will Rosenbaum

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

Consider an asynchronous system with private channels and $n$ processes, up to $t$ of which may be faulty. We settle a longstanding open question by providing a Byzantine agreement protocol that simultaneously achieves three properties: 1.…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-12 Ittai Abraham , Danny Dolev , Joseph Y. Halpern

The problem of time synchronization in dense wireless networks is considered. Well established synchronization techniques suffer from an inherent scalability problem in that synchronization errors grow with an increasing number of hops…

Information Theory · Computer Science 2007-07-16 An-swol Hu , Sergio D. Servetto

Exact Byzantine consensus problem requires that non-faulty processes reach agreement on a decision (or output) that is in the convex hull of the inputs at the non-faulty processes. It is well-known that exact consensus is impossible in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-01 Zhuolun Xiang , Nitin H. Vaidya

Consider an asynchronous system where each node begins with some point in $\mathbb{R}^m$. Given some fixed $\epsilon > 0$, we wish to have every nonfaulty node eventually output a point in $\mathbb{R}^m$, where all outputs are within…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-07 Maya Dotan , Gilad Stern , Aviv Zohar

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 searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

In this paper we prove lower and matching upper bounds for the number of servers required to implement a regular shared register that tolerates unsynchronized Mobile Byzantine failures. We consider the strongest model of Mobile Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-18 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

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