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The Byzantine consensus problem involves $n$ processes, out of which t < n could be faulty and behave arbitrarily. Three properties characterize consensus: (1) termination, requiring correct (non-faulty) processes to eventually reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

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

Consensus protocols for asynchronous networks are usually complex and inefficient, leading practical systems to rely on synchronous protocols. This paper attempts to simplify asynchronous consensus by building atop a novel threshold logical…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Bryan Ford

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

We introduce a general mathematical framework for distributed algorithms, and a monotonicity property frequently satisfied in application. These properties are leveraged to provide finite-time guarantees for converging algorithms, suited…

Systems and Control · Electrical Eng. & Systems 2020-07-31 James Melbourne , Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka

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

This paper introduces a family of leaderless Byzantine fault tolerance protocols, built around a metastable mechanism via network subsampling. These protocols provide a strong probabilistic safety guarantee in the presence of Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-25 Team Rocket , Maofan Yin , Kevin Sekniqi , Robbert van Renesse , Emin Gün Sirer

Consensus on nonlinear spaces is of use in many control applications. This paper proposes a gradient descent flow algorithm for consensus on hypersurfaces. We show that if an inequality holds, then the system converges for almost all…

Optimization and Control · Mathematics 2020-04-02 Johan Markdahl

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

We study adversary-resilient stochastic distributed optimization, in which $m$ machines can independently compute stochastic gradients, and cooperate to jointly optimize over their local objective functions. However, an $\alpha$-fraction of…

Machine Learning · Computer Science 2021-04-05 Zeyuan Allen-Zhu , Faeze Ebrahimian , Jerry Li , Dan Alistarh

We study a multi-agent resilient consensus problem, where some agents are of the Byzantine type and try to prevent the normal ones from reaching consensus. In our setting, normal agents communicate with each other asynchronously over…

Multiagent Systems · Computer Science 2024-03-13 Liwei Yuan , Hideaki Ishii

We consider the federated learning problem where data on workers are not independent and identically distributed (i.i.d.). During the learning process, an unknown number of Byzantine workers may send malicious messages to the central node,…

Machine Learning · Computer Science 2021-08-31 Jie Peng , Zhaoxian Wu , Qing Ling , Tianyi Chen

We study a distributed computation problem in the presence of Byzantine workers where a central node wishes to solve a task that is divided into independent sub-tasks, each of which needs to be solved correctly. The distributed computation…

Information Theory · Computer Science 2025-07-23 Aayush Rajesh , Nikhil Karamchandani , Vinod M. Prabhakaran

This work considers resilient, cooperative state estimation in unreliable multi-agent networks. A network of agents aims to collaboratively estimate the value of an unknown vector parameter, while an {\em unknown} subset of agents suffer…

Systems and Control · Computer Science 2018-10-25 Lili Su , Shahin Shahrampour

Vote-based blockchains construct a state machine replication (SMR) system among participating nodes, using Byzantine Fault Tolerance (BFT) consensus protocols to transition from one state to another. Currently, they rely on either…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-25 Yibin Xu , Jianhua Shao , Tijs Slaats , Boris Düdder , Yongluan Zhou

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

Byzantine agreement allows n processes to decide on a common value, in spite of arbitrary failures. The seminal Dolev-Reischuk bound states that any deterministic solution to Byzantine agreement exchanges Omega(n^2) bits. In synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira , Igor Zablotchi

With the advancement of blockchain systems, many recent research works have proposed distributed ledger technology~(DLT) that employs Byzantine fault-tolerant~(BFT) consensus protocols to decide which block to append next to the ledger.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Christian Berger , Signe Schwarz-Rüsch , Arne Vogel , Kai Bleeke , Leander Jehl , Hans P. Reiser , Rüdiger Kapitza

Byzantine Fault Tolerant (BFT) consensus protocols for dynamically available systems face a critical challenge: balancing latency and security in fluctuating node participation. Existing solutions often require multiple rounds of voting per…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-04 Pengkun Ren , Hai Dong , Zahir Tari , Pengcheng Zhang

In distributed systems, a group of $\textit{learners}$ achieve $\textit{consensus}$ when, by observing the output of some $\textit{acceptors}$, they all arrive at the same value. Consensus is crucial for ordering transactions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Isaac Sheff , Xinwen Wang , Robbert van Renesse , Andrew C. Myers