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Decentralized stochastic gradient algorithms efficiently solve large-scale finite-sum optimization problems when all agents in the network are reliable. However, most of these algorithms are not resilient to adverse conditions, such as…

Optimization and Control · Mathematics 2025-06-24 Jinhui Hu , Guo Chen , Huaqing Li , Xiaoyu Guo , Liang Ran , Tingwen Huang

This paper considers the problem of asynchronous distributed multi-agent optimization on server-based system architecture. In this problem, each agent has a local cost, and the goal for the agents is to collectively find a minimum of their…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-09 Shuo Liu , Nirupam Gupta , Nitin H. Vaidya

The standard model of online prediction deals with serial processing of inputs by a single processor. However, in large-scale online prediction problems, where inputs arrive at a high rate, an increasingly common necessity is to distribute…

Machine Learning · Computer Science 2010-12-08 Ofer Dekel , Ran Gilad-Bachrach , Ohad Shamir , Lin Xiao

This paper aims at jointly addressing two seemly conflicting issues in federated learning: differential privacy (DP) and Byzantine-robustness, which are particularly challenging when the distributed data are non-i.i.d. (independent and…

Machine Learning · Computer Science 2022-08-03 Heng Zhu , Qing Ling

Federated Learning (FL) emerged as a widely studied paradigm for distributed learning. Despite its many advantages, FL remains vulnerable to adversarial attacks, especially under data heterogeneity. We propose a new Byzantine-robust FL…

Machine Learning · Computer Science 2025-09-12 Sena Ergisi , Luis Maßny , Rawad Bitar

In collaborative and distributed learning, Byzantine robustness reflects a major facet of optimization algorithms. Such distributed algorithms are often accompanied by transmitting a large number of parameters, so communication compression…

Machine Learning · Computer Science 2026-04-07 Yanghao Li , Changxin Liu , Yuhao Yi

We develop a communication-efficient distributed learning algorithm that is robust against Byzantine worker machines. We propose and analyze a distributed gradient-descent algorithm that performs a simple thresholding based on gradient…

Machine Learning · Computer Science 2021-08-17 Avishek Ghosh , Raj Kumar Maity , Swanand Kadhe , Arya Mazumdar , Kannan Ramchandran

Distributed learning paradigms, such as federated or decentralized learning, allow a collection of agents to solve global learning and optimization problems through limited local interactions. Most such strategies rely on a mixture of local…

Machine Learning · Computer Science 2023-10-27 Christian A. Schroth , Stefan Vlaski , Abdelhak M. Zoubir

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

This paper utilizes the properties of type-based multiple access (TBMA) to investigate its effectiveness as a robust approach for over-the-air computation (AirComp) in the presence of Byzantine attacks, this is, adversarial strategies where…

Signal Processing · Electrical Eng. & Systems 2025-02-27 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

This paper presents a real-time non-probabilistic detection mechanism to detect load-redistribution (LR) attacks against energy management systems (EMSs). Prior studies have shown that certain LR attacks can bypass conventional bad data…

Systems and Control · Electrical Eng. & Systems 2021-01-05 Ramin Kaviani , Kory W. Hedman

Byzantine-robust distributed optimization relies on robust aggregation rules to mitigate the influence of malicious Byzantine workers. Despite the proliferation of such rules, a unified convergence analysis framework that accommodates…

Optimization and Control · Mathematics 2026-04-14 Boyuan Ruan , Xiaoyu Wang , Ya-Feng Liu

We investigate the Byzantine attack problem within the context of model training in distributed learning systems. While ensuring the convergence of current model training processes, common solvers (e.g. SGD, Adam, RMSProp, etc.) can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-08 Kun Yang , Tianyi Luo , Yanjie Dong , Aohan Li

In this work, we introduce the Resilient Projected Push-Pull (RP3) algorithm designed for distributed optimization in multi-agent cyber-physical systems with directed communication graphs and the presence of malicious agents. Our algorithm…

Systems and Control · Electrical Eng. & Systems 2024-07-10 Arif Kerem Dayı , Orhan Eren Akgün , Stephanie Gil , Michal Yemini , Angelia Nedić

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

Distributed model training is vulnerable to byzantine system failures and adversarial compute nodes, i.e., nodes that use malicious updates to corrupt the global model stored at a parameter server (PS). To guarantee some form of robustness,…

Machine Learning · Statistics 2018-06-25 Lingjiao Chen , Hongyi Wang , Zachary Charles , Dimitris Papailiopoulos

While being an effective framework of learning a shared model across multiple edge devices, federated learning (FL) is generally vulnerable to Byzantine attacks from adversarial edge devices. While existing works on FL mitigate such…

Machine Learning · Computer Science 2022-11-01 Youngjoon Lee , Sangwoo Park , Joonhyuk Kang

We tackle the problem of Byzantine errors in distributed gradient descent within the Byzantine-resilient gradient coding framework. Our proposed solution can recover the exact full gradient in the presence of $s$ malicious workers with a…

Information Theory · Computer Science 2024-01-31 Shreyas Jain , Luis Maßny , Christoph Hofmeister , Eitan Yaakobi , Rawad Bitar

We address the challenges of Byzantine-robust training in asynchronous distributed machine learning systems, aiming to enhance efficiency amid massive parallelization and heterogeneous computing resources. Asynchronous systems, marked by…

Machine Learning · Computer Science 2025-06-05 Tehila Dahan , Kfir Y. Levy

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava