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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

In this paper, we challenge the conventional approach of state machine replication systems to design deterministic agreement protocols in the eventually synchronous communication model. We first prove that no such protocol can guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-06 Alexander Spiegelman

Standard federated learning algorithms are vulnerable to adversarial nodes, a.k.a. Byzantine failures. To solve this issue, robust distributed learning algorithms have been developed, which typically replace parameter averaging by robust…

Machine Learning · Computer Science 2026-02-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

Traditional Byzantine resilient algorithms use 2f+1 vertex disjoint paths to ensure message delivery in the presence of up to f Byzantine nodes. The question of how these paths are identified is related to the fundamental problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-31 Shlomi Dolev , Omri Liba , Elad M. Schiller

We study a framework for modeling distributed network systems assisted by a reliable and powerful cloud service. Our framework aims at capturing hybrid systems based on a point to point message passing network of machines, with the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-29 John Augustine , Jeffin Biju , Shachar Meir , David Peleg , Srikkanth Ramachandran , Aishwarya Thiruvengadam

Distributed control systems require high reliability and availability guarantees despite often being deployed at the edge of network infrastructure. Edge computing resources are less secure and less reliable than centralized resources in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-21 Roy Shadmon , Daniel Spencer , Owen Arden

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

In distributed learning systems, robustness issues may arise from two sources. On one hand, due to distributional shifts between training data and test data, the trained model could exhibit poor out-of-sample performance. On the other hand,…

Machine Learning · Computer Science 2022-11-01 Guanqiang Zhou , Ping Xu , Yue Wang , Zhi Tian

Consensus in decentralized systems that asynchronously receive events and which are subject to Byzantine faults is a common problem with many real-life applications. Advances in decentralized systems, such as distributed ledger (i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-05 Fedor Muratov , Andrei Lebedev , Nikolai Iushkevich , Bulat Nasrulin , Makoto Takemiya

This paper considers the problem of reliable broadcast in asynchronous authenticated systems, in which n processes communicate using signed messages and up to t processes may behave arbitrarily (Byzantine processes). In addition, for each…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-23 Timothé Albouy , Davide Frey , Michel Raynal , François Taïani

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

Permissionless blockchain protocols are known to consume an outrageous amount of computing power and suffer from a trade-off between latency and confidence in transaction confirmation. The recently proposed Algorand blockchain protocol…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-03 Kadir Korkmaz , Joachim Bruneau-Queyreix , Sonia Ben Mokthar , Laurent Réveillère

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

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

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

Machine Learning (ML) solutions are nowadays distributed, according to the so-called server/worker architecture. One server holds the model parameters while several workers train the model. Clearly, such architecture is prone to various…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 El-Mahdi El-Mhamdi , Rachid Guerraoui , Arsany Guirguis , Lê Nguyên Hoang , Sébastien Rouault

Asynchronous Byzantine fault-tolerant (BFT) consensus protocols, known for their robustness in unpredictable environments without relying on timing assumptions, are becoming increasingly vital for wireless applications. While these…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Shuo Liu , Minghui Xu , Tianyi Sun , Xiuzhen Cheng

Byzantine broadcast (BB) and Byzantine agreement (BA) are two most fundamental problems and essential building blocks in distributed computing, and improving their efficiency is of interest to both theoreticians and practitioners. In this…

Cryptography and Security · Computer Science 2020-10-07 Kartik Nayak , Ling Ren , Elaine Shi , Nitin H. Vaidya , Zhuolun Xiang

Since the mid-1980s it has been known that Byzantine Agreement can be solved with probability 1 asynchronously, even against an omniscient, computationally unbounded adversary that can adaptively \emph{corrupt} up to $f<n/3$ parties.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Shang-En Huang , Seth Pettie , Leqi Zhu

In this paper, we investigate the problem of decentralized online resource allocation in the presence of Byzantine attacks. In this problem setting, some agents may be compromised due to external manipulations or internal failures, causing…

Optimization and Control · Mathematics 2026-05-27 Runhua Wang , Qing Ling , Hoi-To Wai , Zhi Tian