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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

This work considers two related learning problems in a federated attack prone setting: federated principal components analysis (PCA) and federated low rank column-wise sensing (LRCS). The node attacks are assumed to be Byzantine which means…

Information Theory · Computer Science 2024-08-12 Ankit Pratap Singh , Namrata Vaswani

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

Federated learning is a newly emerging distributed learning framework that facilitates the collaborative training of a shared global model among distributed participants with their privacy preserved. However, federated learning systems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-14 Minghui Li , Wei Wan , Jianrong Lu , Shengshan Hu , Junyu Shi , Leo Yu Zhang , Man Zhou , Yifeng Zheng

We consider distributed optimization under Byzantine attacks in the presence of $(L_0,L_1)$-smoothness, a generalization of standard $L$-smoothness that captures functions with state-dependent gradient Lipschitz constants. We propose…

Machine Learning · Computer Science 2026-03-16 Arman Bolatov , Samuel Horváth , Martin Takáč , Eduard Gorbunov

We study fault-tolerant distributed optimization of a sum of convex (cost) functions with real-valued scalar input/output in the presence of crash faults or Byzantine faults. In particular, the goal is to optimize a global cost function…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Lili Su , Nitin Vaidya

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

Optimization and Control · Mathematics 2023-02-06 Songyang Ge , Tsung-Hui Chang

We consider gradient coding in the presence of an adversary controlling so-called malicious workers trying to corrupt the computations. Previous works propose the use of MDS codes to treat the responses from malicious workers as errors and…

Information Theory · Computer Science 2024-01-08 Christoph Hofmeister , Luis Maßny , Eitan Yaakobi , Rawad Bitar

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

We study distributed optimization over networks with Byzantine agents that may send arbitrary adversarial messages. We propose \emph{Gradient Tracking with Probabilistic Edge Dropout} (GT-PD), a stochastic gradient tracking method that…

Machine Learning · Computer Science 2026-04-07 Amirhossein Dezhboro , Fateme Maleki , Arman Adibi , Erfan Amini , Jose E. Ramirez-Marquez

In this paper, we study the problem of distributed training (DT) under Byzantine attacks with communication constraints. While prior work has developed various robust aggregation rules at the server to enhance robustness to Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Chengxi Li , Youssef Allouah , Rachid Guerraoui , Mikael Skoglund , Ming Xiao

This report considers the problem of resilient distributed optimization and stochastic learning in a server-based architecture. The system comprises a server and multiple agents, where each agent has its own local cost function. The agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-15 Shuo Liu , Nirupam Gupta , Nitin H. Vaidya

We study the \emph{Byzantine} gathering problem involving $k$ mobile agents with unique identifiers (IDs), $f$ of which are Byzantine. These agents start the execution of a common algorithm from (possibly different) nodes in an $n$-node…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Jion Hirose , Ryota Eguchi , Yuichi Sudo

A plethora of modern machine learning tasks require the utilization of large-scale distributed clusters as a critical component of the training pipeline. However, abnormal Byzantine behavior of the worker nodes can derail the training and…

Machine Learning · Computer Science 2023-05-16 Konstantinos Konstantinidis , Namrata Vaswani , Aditya Ramamoorthy

Gradient-based training in federated learning is known to be vulnerable to faulty/malicious clients, which are often modeled as Byzantine clients. To this end, previous work either makes use of auxiliary data at parameter server to verify…

Machine Learning · Computer Science 2023-05-02 Jian Xu , Shao-Lun Huang , Linqi Song , Tian Lan

This paper presents a resilient distributed algorithm for solving a system of linear algebraic equations over a multi-agent network in the presence of Byzantine agents capable of arbitrarily introducing untrustworthy information in…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jingxuan Zhu , Alvaro Velasquez , Ji Liu

The cooperative bandit problem is a multi-agent decision problem involving a group of agents that interact simultaneously with a multi-armed bandit, while communicating over a network with delays. The central idea in this problem is to…

Machine Learning · Statistics 2022-05-31 Abhimanyu Dubey , Alex Pentland

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

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

Optimization and Control · Mathematics 2019-10-01 Charikleia Iakovidou , Ermin Wei

Asynchronous distributed machine learning solutions have proven very effective so far, but always assuming perfectly functioning workers. In practice, some of the workers can however exhibit Byzantine behavior, caused by hardware failures,…

Machine Learning · Statistics 2018-07-10 Georgios Damaskinos , El Mahdi El Mhamdi , Rachid Guerraoui , Rhicheek Patra , Mahsa Taziki
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