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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 present two distributed algorithms for the {\em Byzantine counting problem}, which is concerned with estimating the size of a network in the presence of a large number of Byzantine nodes. In an $n$-node network ($n$ is unknown), our…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-27 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

Robustness to Byzantine attacks is a necessity for various distributed training scenarios. When the training reduces to the process of solving a minimization problem, Byzantine robustness is relatively well-understood. However, other…

Distributed learning has become the standard approach for training large-scale machine learning models across private data silos. While distributed learning enhances privacy preservation and training efficiency, it faces critical challenges…

Machine Learning · Computer Science 2024-09-16 Changxin Liu , Yanghao Li , Yuhao Yi , Karl H. Johansson

This paper considers the problem of Byzantine dispersion and extends previous work along several parameters. The problem of Byzantine dispersion asks: given $n$ robots, up to $f$ of which are Byzantine, initially placed arbitrarily on an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

Consider an asynchronous system where each node begins with some point in $\mathbb{R}^m$. Given some fixed $\epsilon > 0$, we wish to have every nonfaulty node eventually output a point in $\mathbb{R}^m$, where all outputs are within…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-07 Maya Dotan , Gilad Stern , Aviv Zohar

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

Byzantine general problem is the core problem of the consensus algorithm, and many protocols are proposed recently to improve the decentralization level, the performance and the security of the blockchain. There are two challenging issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Tzu-Wei Chao , Hao Chung , Po-Chun Kuo

In this work, we consider a generalized fault model that can be used to represent a wide range of failure scenarios, including correlated failures and non-uniform node reliabilities. This fault model is general in the sense that fault…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-23 Lewis Tseng , Nitin Vaidya

Byzantine consensus is a classical problem in distributed computing. Each node in a synchronous system starts with a binary input. The goal is to reach agreement in the presence of Byzantine faulty nodes. We consider the setting where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Muhammad Samir Khan , Nitin H. Vaidya

Consensus, abstracting a myriad of problems in which processes have to agree on a single value, is one of the most celebrated problems of fault-tolerant distributed computing. Consensus applications include fundamental services for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

Distributed consensus protocols reach agreement among $n$ players in the presence of $f$ adversaries; different protocols support different values of $f$. Existing works study this problem for different adversary types (captured by threat…

Computer Science and Game Theory · Computer Science 2024-05-14 Varul Srivastava , Sujit Gujar

In Byzantine robust distributed or federated learning, a central server wants to train a machine learning model over data distributed across multiple workers. However, a fraction of these workers may deviate from the prescribed algorithm…

Machine Learning · Computer Science 2023-11-23 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

We study communication over multiple access channels (MAC) where one of the users is possibly adversarial. When all users are non-adversarial, we want their messages to be decoded reliably. When an adversary is present, we consider two…

Information Theory · Computer Science 2019-04-29 Neha Sangwan , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

The resilient consensus problem is investigated in this paper for a class of networked Euler-Lagrange systems with event-triggered communication in the presence of Byzantine attacks. One challenge that we face in addressing the considered…

Optimization and Control · Mathematics 2025-07-22 Yuliang Fu , Guanghui Wen , Dan Zhao , Wei Xing Zheng , Xiaolei Li

In this paper, we study a linear bandit optimization problem in a federated setting where a large collection of distributed agents collaboratively learn a common linear bandit model. Standard federated learning algorithms applied to this…

Machine Learning · Computer Science 2022-04-05 Ali Jadbabaie , Haochuan Li , Jian Qian , Yi Tian

Federated learning (FL) enables collaborative model training across distributed clients without sharing raw data, but its robustness is threatened by Byzantine behaviors such as data and model poisoning. Existing defenses face fundamental…

Cryptography and Security · Computer Science 2025-09-12 Usama Zafar , André M. H. Teixeira , Salman Toor

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

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

We provide a new protocol for Validated Asynchronous Byzantine Agreement. Validated (multi-valued) Asynchronous Byzantine Agreement is a key building block in constructing Atomic Broadcast and fault-tolerant state machine replication in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ittai Abraham , Dahlia Malkhi , Alexander Spiegelman