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In this paper, we establish tight lower bounds for Byzantine-robust distributed first-order stochastic optimization methods in both strongly convex and non-convex stochastic optimization. We reveal that when the distributed nodes have…

Optimization and Control · Mathematics 2025-03-21 Qiankun Shi , Jie Peng , Kun Yuan , Xiao Wang , Qing Ling

We study local stochastic gradient descent methods for solving federated optimization over a network of agents communicating indirectly through a centralized coordinator. We are interested in the Byzantine setting where there is a subset of…

Optimization and Control · Mathematics 2024-09-06 Amit Dutta , Thinh T. Doan

Some of the recent blockchain proposals, such as Stellar and Ripple, allow for open membership while using quorum-like structures typical for classical Byzantine consensus with closed membership. This is achieved by constructing quorums in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-16 Álvaro García-Pérez , Maria A. Schett

Quantum Byzantine Agreement (QBA), a cornerstone of quantum blockchain, offers inherent advantages in security and fault tolerance over classical protocols, guaranteed by the laws of quantum mechanics. However, existing multiparty QBA…

Quantum Physics · Physics 2026-02-13 Chen-Xun Weng , Ming-Yang Li , Shi-Gen Li , Mengya Zhu , Xiao-Ran Sun , Hua-Lei Yin , Zeng-Bing Chen

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

We present concept and implementation of a self-stabilizing Byzantine fault-tolerant distributed clock generation scheme for multi-synchronous GALS architectures in critical applications. It combines a variant of a recently introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-10 Danny Dolev , Matthias Függer , Christoph Lenzen , Markus Posch , Ulrich Schmid , Andreas Steininger

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

The fast probabilistic consensus (FPC) is a voting consensus protocol that is robust and efficient in Byzantine infrastructure. We propose an adaption of the FPC to a setting where the voting power is proportional to the nodes reputations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-02 Sebastian Müller , Andreas Penzkofer , Bartosz Kuśmierz , Darcy Camargo , William J. Buchanan

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

Given sufficient data from multiple edge devices, federated learning (FL) enables training a shared model without transmitting private data to the central server. However, FL is generally vulnerable to Byzantine attacks from compromised…

Machine Learning · Computer Science 2025-09-18 Youngjoon Lee , Jinu Gong , Joonhyuk Kang

We study a recently proposed large-scale distributed learning paradigm, namely Federated Learning, where the worker machines are end users' own devices. Statistical and computational challenges arise in Federated Learning particularly in…

Machine Learning · Computer Science 2019-10-11 Avishek Ghosh , Justin Hong , Dong Yin , Kannan Ramchandran

Partially synchronous Byzantine consensus protocols typically structure their execution into a sequence of views, each with a designated leader process. The key to guaranteeing liveness in these protocols is to ensure that all correct…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-11 Manuel Bravo , Gregory Chockler , Alexey Gotsman

Byzantine fault-tolerant agreement (BFT) in a partially synchronous system usually requires 3f + 1 nodes to tolerate f faulty replicas. Due to their high throughput and finality property BFT algorithms build the core of recent permissioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-26 Ines Messadi , Markus Horst Becker , Kai Bleeke , Leander Jehl , Sonia Ben Mokhtar , Rüdiger Kapitza

In Byzantine collaborative learning, $n$ clients in a peer-to-peer network collectively learn a model without sharing their data by exchanging and aggregating stochastic gradient estimates. Byzantine clients can prevent others from…

Machine Learning · Computer Science 2025-04-08 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

We present a Byzantine agreement protocol to address the inefficiencies inherent in multi-valued Byzantine agreement protocols, i.e., a version of the Byzantine agreement protocol where every party broadcasts its request, and at the end of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-03 Nasit S Sony

This paper proposes a Robust One-Step Estimator(ROSE) to solve the Byzantine failure problem in distributed M-estimation when a moderate fraction of node machines experience Byzantine failures. To define ROSE, the algorithms use the robust…

Statistics Theory · Mathematics 2023-07-18 Chuhan Wang , Xuehu Zhu , Lixing Zhu

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

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 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

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