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This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each directed link of the underlying communication graph represents a communication channel between a pair of nodes. We adopt…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Lewis Tseng , Nitin Vaidya

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

Random linear network coding can be used in peer-to-peer networks to increase the efficiency of content distribution and distributed storage. However, these systems are particularly susceptible to Byzantine attacks. We quantify the impact…

Networking and Internet Architecture · Computer Science 2016-11-17 MinJi Kim , Luísa Lima , Fang Zhao , Joao Barros , Muriel Medard , Ralf Koetter , Ton Kalker , Keesook Han

This paper proposes a Byzantine-resilient consensus framework that simultaneously pursues two tightly coupled objectives: actively identifying Byzantine agents and guaranteeing resilient consensus among normal agents. Unlike existing…

Optimization and Control · Mathematics 2026-05-13 Rui Huang , Changxin Liu , Wen-Hua Chen , Yang Shi

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

We consider the problem of reliably broadcasting information in a multihop asyn- chronous network that is subject to Byzantine failures. That is, some nodes of the network can exhibit arbitrary (and potentially malicious) behavior. Existing…

Data Structures and Algorithms · Computer Science 2012-01-30 Alexandre Maurer , Sébastien Tixeuil

This paper studies the problem of cooperative control of heterogeneous multi-agent systems (MASs) against Byzantine attacks. The agent affected by Byzantine attacks sends different wrong values to all neighbors while applying wrong input…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Xin Gong , Yiwen Liang , Yukang Cui , Shi Liang , Tingwen Huang

Federated recommendation systems can provide good performance without collecting users' private data, making them attractive. However, they are susceptible to low-cost poisoning attacks that can degrade their performance. In this paper, we…

Machine Learning · Computer Science 2020-06-16 Chen Chen , Jingfeng Zhang , Anthony K. H. Tung , Mohan Kankanhalli , Gang Chen

The alternating direction of multipliers method (ADMM) is a popular method to solve distributed consensus optimization utilizing efficient communication among various nodes in the network. However, in the presence of faulty or attacked…

Optimization and Control · Mathematics 2025-12-10 Vishnu Vijay , Kartik A. Pant , Minhyun Cho , Inseok Hwang

Population protocols model information spreading and computation in network systems where pairwise node exchanges are determined by an external random scheduler and nodes have small memory. Most of the population protocols in the literature…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-06 Costas Busch , Dariusz R. Kowalski

We consider Byzantine consensus in a synchronous system where nodes are connected by a network modeled as a directed graph, i.e., communication links between neighboring nodes are not necessarily bi-directional. The directed graph model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-19 Muhammad Samir Khan , Lewis Tseng , Nitin H. Vaidya

This paper considers the Byzantine consensus problem for nodes with binary inputs. The nodes are interconnected by a network represented as an undirected graph, and the system is assumed to be synchronous. Under the classical point-to-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Muhammad Samir Khan , Syed Shalan Naqvi , Nitin H. Vaidya

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

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

Consider a set of vectors in $\mathbb{R}^n$, partitioned into two classes: normal vectors and malicious vectors. The number of malicious vectors is bounded but their identities are unknown. The paper provides a way for achieving a resilient…

Optimization and Control · Mathematics 2018-07-11 Xuan Wang , Shaoshuai Mou , Shreyas Sundaram

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

In this paper, we propose a class of robust stochastic subgradient methods for distributed learning from heterogeneous datasets at presence of an unknown number of Byzantine workers. The Byzantine workers, during the learning process, may…

Machine Learning · Computer Science 2019-11-12 Liping Li , Wei Xu , Tianyi Chen , Georgios B. Giannakis , Qing Ling

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

Optimization and Control · Mathematics 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

In this work we look at Byzantine consensus in asynchronous systems under the local broadcast model. In the local broadcast model, a message sent by any node is received identically by all of its neighbors in the communication network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-09 Muhammad Samir Khan , Nitin Vaidya

Byzantine-robust federated learning aims at mitigating Byzantine failures during the federated training process, where malicious participants may upload arbitrary local updates to the central server to degrade the performance of the global…

Machine Learning · Computer Science 2023-02-15 Shenghui Li , Edith C. -H. Ngai , Thiemo Voigt