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We consider an amplify-and-forward relay network composed of a source, two relays, and a destination. In this network, the two relays are untrusted in the sense that they may perform Byzantine attacks by forwarding altered symbols to the…

Information Theory · Computer Science 2016-09-20 Ruohan Cao , Tan F. Wong , Tiejun Lv , Hui Gao , Shaoshi Yang

Byzantine Fault Tolerant (BFT) systems are considered by the systems research community to be state of the art with regards to providing reliability in distributed systems. BFT systems provide safety and liveness guarantees with reasonable…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-24 Nikos Chondros , Konstantinos Kokordelis , Mema Roussopoulos

Sybil attacks, in which a large number of adversary-controlled nodes join a network, are a concern for many peer-to-peer database systems, necessitating expensive countermeasures such as proof-of-work. However, there is a category of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-02 Martin Kleppmann , Heidi Howard

Augustine et al. [DISC 2022] initiated the study of distributed graph algorithms in the presence of Byzantine nodes in the congested clique model. In this model, there is a set $B$ of Byzantine nodes, where $|B|$ is less than a third of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-03 David Cifuentes-Núñez , Pedro Montealegre , Ivan Rapaport

We revisit Byzantine tolerant reliable broadcast with honest dealer algorithms in multi-hop networks. To tolerate Byzantine faulty nodes arbitrarily spread over the network, previous solutions require a factorial number of messages to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Silvia Bonomi , Giovanni Farina , Sébastien Tixeuil

Distributed Learning often suffers from Byzantine failures, and there have been a number of works studying the problem of distributed stochastic optimization under Byzantine failures, where only a portion of workers, instead of all the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-17 Kaiyun Li , Xiaojun Chen , Ye Dong , Peng Zhang , Dakui Wang , Shuai Zen

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

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

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

Training of large scale models on distributed clusters is a critical component of the machine learning pipeline. However, this training can easily be made to fail if some workers behave in an adversarial (Byzantine) fashion whereby they…

Machine Learning · Computer Science 2021-03-05 Konstantinos Konstantinidis , Aditya Ramamoorthy

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

We consider the problem of Byzantine fault-tolerance in the peer-to-peer (P2P) distributed gradient-descent method -- a prominent algorithm for distributed optimization in a P2P system. In this problem, the system comprises of multiple…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Nirupam Gupta , Nitin H. Vaidya

Some blockchain networks employ a distributed consensus algorithm featuring Byzantine fault tolerance. Notably, certain public chains, such as Cosmos and Tezos, which operate on a proof-of-stake mechanism, have adopted this algorithm. While…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Akihiro Fujihara

In federated learning (FL), profiling and verifying each client is inherently difficult, which introduces a significant security vulnerability: malicious clients, commonly referred to as Byzantines, can degrade the accuracy of the global…

Machine Learning · Computer Science 2026-05-07 Emre Ozfatura , Kerem Ozfatura , Baturalp Buyukates , Mert Coskuner , Alptekin Kupcu , Deniz Gunduz

Federated learning systems that jointly preserve Byzantine robustness and privacy have remained an open problem. Robust aggregation, the standard defense for Byzantine attacks, generally requires server access to individual updates or…

Cryptography and Security · Computer Science 2021-10-07 Raj Kiriti Velicheti , Derek Xia , Oluwasanmi Koyejo

Federated learning is a distributed training framework vulnerable to Byzantine attacks, particularly when over 50% of clients are malicious or when datasets are highly non-independent and identically distributed (non-IID). Additionally,…

Cryptography and Security · Computer Science 2025-08-04 Haocheng Jiang , Hua Shen , Jixin Zhang , Willy Susilo , Mingwu Zhang

We consider the problem of approximate consensus in mobile networks containing Byzantine nodes. We assume that each correct node can communicate only with its neighbors and has no knowledge of the global topology. As all nodes have moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Chuanyou Li , Michel Hurfin , Yun Wang

It is a common belief that Byzantine fault-tolerant solutions for consensus are significantly slower than their crash fault-tolerant counterparts. Indeed, in PBFT, the most widely known Byzantine fault-tolerant consensus protocol, it takes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Petr Kuznetsov , Andrei Tonkikh , Yan X Zhang

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

Byzantine fault-tolerant (BFT) protocols allow a group of replicas to come to a consensus even when some of the replicas are Byzantine faulty. There exist multiple BFT protocols to securely tolerate an optimal number of faults $t$ under…

Cryptography and Security · Computer Science 2021-11-09 Peiyao Sheng , Gerui Wang , Kartik Nayak , Sreeram Kannan , Pramod Viswanath
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