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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

We study the problem of Byzantine fault tolerance in a distributed optimization setting, where there is a group of $N$ agents communicating with a trusted centralized coordinator. Among these agents, there is a subset of $f$ agents that may…

Optimization and Control · Mathematics 2023-12-19 Amit Dutta , Thinh T. Doan , Jeffrey H. Reed

We study the task of Byzantine gathering in a network modeled as a graph. Despite the presence of Byzantine agents, all the other (good) agents, starting from possibly different nodes and applying the same deterministic algorithm, have to…

Data Structures and Algorithms · Computer Science 2018-01-24 Sébastien Bouchard , Yoann Dieudonné , Anissa Lamani

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

Byzantine agreement, the underlying core of blockchain, aims to make every node in a decentralized network reach consensus. Classical Byzantine agreements unavoidably face two major problems. One is $1/3$ fault-tolerance bound, which means…

Byzantine fault tolerance (BFT) has been extensively studied in distributed trustless systems to guarantee system's functioning when up to 1/3 Byzantine processes exist. Despite a plethora of previous work in BFT systems, they are mainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-11 Quan Nguyen , Andre Cronje

Federated learning allows each client to keep its data locally when training machine learning models in a distributed setting. Significant recent research established the requirements that the input must satisfy in order to guarantee…

Machine Learning · Computer Science 2025-06-19 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

In this paper, we present an efficient deterministic algorithm for consensus in presence of Byzantine failures. Our algorithm achieves consensus on an $L$-bit value with communication complexity $O(nL + n^4 L^{0.5} + n^6)$ bits, in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-19 Guanfeng Liang , Nitin Vaidya

In this paper, we study the problem of \emph{Byzantine Agreement with predictions}. Along with a proposal, each process is also given a prediction, i.e., extra information which is not guaranteed to be true. For example, one might imagine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Naama Ben-David , Muhammad Ayaz Dzulfikar , Faith Ellen , Seth Gilbert

In this paper we propose Aleph, a leaderless, fully asynchronous, Byzantine fault tolerant consensus protocol for ordering messages exchanged among processes. It is based on a distributed construction of a partially ordered set and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Michał Świętek

This paper investigates the problem \textit{good-case latency} of Byzantine agreement, broadcast and state machine replication in the synchronous authenticated setting. The good-case latency measure captures the time it takes to reach…

Cryptography and Security · Computer Science 2020-12-22 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

In this report, building on the deterministic multi-valued one-to-many Byzantine agreement (broadcast) algorithm in our recent technical report [2], we introduce a deterministic multi-valued all-to-all Byzantine agreement algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-27 Guanfeng Liang , Nitin Vaidya

Reaching agreement in the presence of arbitrary faults is a fundamental problem in distributed computation, which has been shown to be unsolvable if one-third of the processes can fail, unless signed messages are used. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-20 Vicent Cholvi

Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

In order to develop solutions that perform actions as early as possible, analysis of distributed algorithms using epistemic logic has generally concentrated on ``full information protocols'', which may be inefficient with respect to space…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-06 Ron van der Meyden

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren

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

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

Ensuring that an AI system behaves reliably and as intended, especially in the presence of unexpected faults or adversarial conditions, is a complex challenge. Inspired by the field of Byzantine Fault Tolerance (BFT) from distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 John deVadoss , Matthias Artzt

We explore asynchronous unison in the presence of systemic transient and permanent Byzantine faults in shared memory. We observe that the problem is not solvable under less than strongly fair scheduler or for system topologies with maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-02 Swan Dubois , Maria Gradinariu Potop-Butucaru , Mikhail Nesterenko , Sébastien Tixeuil
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