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Distributed optimization algorithms have emerged as a superior approaches for solving machine learning problems. To accommodate the diverse ways in which data can be stored across devices, these methods must be adaptable to a wide range of…

Optimization and Control · Mathematics 2024-04-23 Sergey Stanko , Timur Karimullin , Aleksandr Beznosikov , Alexander Gasnikov

Federated Learning (FL) enables multiple clients to collaboratively train models without sharing raw data, but it is highly vulnerable to Byzantine attacks. Existing robust approaches can neutralize these threats but incur substantial…

Machine Learning · Computer Science 2026-05-28 Shiyuan Zuo , Jiashuo Li , Rongfei Fan , Han Hu , Jie Xu

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

Federated Learning (FL) enables clients to collaboratively train a global model without sharing their private data. However, the presence of malicious (Byzantine) clients poses significant challenges to the robustness of FL, particularly…

Machine Learning · Computer Science 2026-05-26 Javad Parsa , Amir Hossein Daghestani , André M. H. Teixeira , Mikael Johansson

For distributed computing with Byzantine machines under Privacy Protection (PP) constraints, this paper develops a robust PP distributed quasi-Newton estimation, which only requires the node machines to transmit five vectors to the central…

Machine Learning · Statistics 2024-08-23 Chuhan Wang , Lixing Zhu , Xuehu Zhu

Increasingly machine learning systems are being deployed to edge servers and devices (e.g. mobile phones) and trained in a collaborative manner. Such distributed/federated/decentralized training raises a number of concerns about the…

Machine Learning · Computer Science 2020-10-20 Lie He , Sai Praneeth Karimireddy , Martin Jaggi

Could a gradient aggregation rule (GAR) for distributed machine learning be both robust and fast? This paper answers by the affirmative through multi-Bulyan. Given $n$ workers, $f$ of which are arbitrary malicious (Byzantine) and $m=n-f$…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-08 El-Mahdi El-Mhamdi , Rachid Guerraoui , Sébastien Rouault

This paper proposes the Doubly Compressed Momentum-assisted stochastic gradient tracking algorithm $\texttt{DoCoM}$ for communication-efficient decentralized optimization. The algorithm features two main ingredients to achieve a…

Machine Learning · Computer Science 2023-08-01 Chung-Yiu Yau , Hoi-To Wai

Adversarial attacks pose a major challenge to distributed learning systems, prompting the development of numerous robust learning methods. However, most existing approaches suffer from the curse of dimensionality, i.e. the error increases…

Machine Learning · Computer Science 2025-11-19 Wenyu Liu , Tianqiang Huang , Pengfei Zhang , Zong Ke , Minghui Min , Puning Zhao

Distributed and federated learning algorithms and techniques associated primarily with minimization problems. However, with the increase of minimax optimization and variational inequality problems in machine learning, the necessity of…

Optimization and Control · Mathematics 2024-06-04 Siqi Zhang , Sayantan Choudhury , Sebastian U Stich , Nicolas Loizou

In this paper, we focus on a popular DML framework -- the parameter server computation paradigm and iterative learning algorithms that proceed in rounds. We aim to reduce the communication complexity of Byzantine-tolerant DML algorithms in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-17 Qinzi Zhang , Lewis Tseng

This paper considers the Byzantine fault-tolerance problem in distributed stochastic gradient descent (D-SGD) method - a popular algorithm for distributed multi-agent machine learning. In this problem, each agent samples data points…

Machine Learning · Computer Science 2021-04-20 Nirupam Gupta , Shuo Liu , Nitin H. Vaidya

The valuable data collected by IoT devices in edge networks together with the resurgence of ML stimulate the latest trend of edge AI. However, recent FL methods face major challenges including communication bottleneck, data heterogeneity…

Signal Processing · Electrical Eng. & Systems 2022-10-24 Xin Fan , Yue Wang , Yan Huo , Zhi Tian

We introduce and solve the problem of Byzantine fault tolerant distributed quickest change detection in both continuous and discrete time setups. In this problem, multiple sensors sequentially observe random signals from the environment and…

Probability · Mathematics 2014-12-30 Erhan Bayraktar , Lifeng Lai

In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying.…

Optimization and Control · Mathematics 2025-11-10 Yuhang Liu , Wenjun Mei

Inherent client drifts caused by data heterogeneity, as well as vulnerability to Byzantine attacks within the system, hinder effective model training and convergence in federated learning (FL). This paper presents two new frameworks, named…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-13 Bingnan Xiao , Feng Zhu , Jingjing Zhang , Wei Ni , Xin Wang

While many distributed optimization algorithms have been proposed for solving smooth or convex problems over the networks, few of them can handle non-convex and non-smooth problems. Based on a proximal primal-dual approach, this paper…

Optimization and Control · Mathematics 2021-09-01 Zhiguo Wang , Jiawei Zhang , Tsung-Hui Chang , Jian Li , Zhi-Quan Luo

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

Optimization and Control · Mathematics 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian

The problem of distributed optimization requires a group of networked agents to compute a parameter that minimizes the average of their local cost functions. While there are a variety of distributed optimization algorithms that can solve…

Multiagent Systems · Computer Science 2024-09-24 Kananart Kuwaranancharoen , Lei Xin , Shreyas Sundaram

Federated Learning (FL) is a nascent decentralized learning framework under which a massive collection of heterogeneous clients collaboratively train a model without revealing their local data. Scarce communication, privacy leakage, and…

Machine Learning · Computer Science 2023-02-21 Ming Xiang , Lili Su