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King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Shir Cohen , Idit Keidar , Alexander Spiegelman

In the Byzantine agreement problem, n nodes with possibly different input values aim to reach agreement on a common value in the presence of t < n/3 Byzantine nodes which represent arbitrary failures in the system. This paper introduces a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-08 Darya Melnyk , Yuyi Wang , Roger Wattenhofer

In this paper, we consider the problem of maximizing the throughput of Byzantine agreement, given that the sum capacity of all links in between nodes in the system is finite. We have proposed a highly efficient Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-15 Guanfeng Liang , Nitin Vaidya

We investigate robust linear consensus over networks under capacity-constrained communication. The capacity of each edge is encoded as an upper bound on the number of state variables that can be communicated instantaneously. When the edge…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yasin Yazicioglu , Alberto Speranzon

Population protocols model information spreading and computation in network systems where pairwise node exchanges are determined by an external random scheduler and nodes have small memory. Most of the population protocols in the literature…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-06 Costas Busch , Dariusz R. Kowalski

In Byzantine agreement with predictions each process begins with an input value and some (unreliable) prediction bits. Recently, it has been shown that with \emph{classification predictions} -- where the predictions predict each process to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Muhammad Ayaz Dzulfikar , Seth Gilbert

The cooperative bandit problem is a multi-agent decision problem involving a group of agents that interact simultaneously with a multi-armed bandit, while communicating over a network with delays. The central idea in this problem is to…

Machine Learning · Statistics 2022-05-31 Abhimanyu Dubey , Alex Pentland

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

We study the fundamental problem of counting the number of nodes in a sparse network (of unknown size) under the presence of a large number of Byzantine nodes. We assume the full information model where the Byzantine nodes have complete…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

Byzantine Agreement is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shir Cohen , Idit Keidar , Alexander Spiegelman

We introduce a new, "worst-case" model for an asynchronous communication network and investigate the simplest (yet central) task in this model, namely the feasibility of end-to-end routing. Motivated by the question of how successful a…

Networking and Internet Architecture · Computer Science 2009-10-26 Paul Bunn , Rafail Ostrovsky

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Johanne Cohen , Laurence Pilard , François Pirot , Jonas Sénizergues

Byzantine-robust distributed optimization relies on robust aggregation rules to mitigate the influence of malicious Byzantine workers. Despite the proliferation of such rules, a unified convergence analysis framework that accommodates…

Optimization and Control · Mathematics 2026-04-14 Boyuan Ruan , Xiaoyu Wang , Ya-Feng Liu

In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying.…

Optimization and Control · Mathematics 2025-11-10 Yuhang Liu , Wenjun Mei

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

This short paper presents a necessary condition for Byzantine $k$-set agreement in (synchronous or asynchronous) message-passing systems and asynchronous shared memory systems where the processes communicate through atomic single-writer…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-22 Zohir Bouzid , Damien Imbs , Michel Raynal

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

As large language model (LLM) agents increasingly integrate into our infrastructure, their robust coordination and message synchronization become vital. The Byzantine Generals Problem (BGP) is a critical model for constructing resilient…

Multiagent Systems · Computer Science 2024-10-24 Yihuan Mao , Yipeng Kang , Peilun Li , Ning Zhang , Wei Xu , Chongjie Zhang

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

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
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