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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

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 develop a distributed second order optimization algorithm that is communication-efficient as well as robust against Byzantine failures of the worker machines. We propose COMRADE (COMunication-efficient and Robust Approximate Distributed…

Machine Learning · Computer Science 2021-03-19 Avishek Ghosh , Raj Kumar Maity , Arya Mazumdar

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

The problem of saddle-point avoidance for non-convex optimization is quite challenging in large scale distributed learning frameworks, such as Federated Learning, especially in the presence of Byzantine workers. The celebrated…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Avishek Ghosh , Raj Kumar Maity , Arya Mazumdar , Kannan Ramchandran

We introduce CyBeR-0, a Byzantine-resilient federated zero-order optimization method that is robust under Byzantine attacks and provides significant savings in uplink and downlink communication costs. We introduce transformed robust…

Machine Learning · Computer Science 2025-02-04 Maximilian Egger , Mayank Bakshi , Rawad Bitar

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

Byzantine reliable broadcast is a fundamental problem in distributed computing, which has been studied extensively over the past decades. State-of-the-art algorithms are predominantly based on the approach to share encoded fragments of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-06 Thomas Locher

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

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

This paper addresses federated learning (FL) in the context of malicious Byzantine attacks and data heterogeneity. We introduce a novel Robust Average Gradient Algorithm (RAGA), which uses the geometric median for aggregation and {allows…

Machine Learning · Computer Science 2025-09-30 Shiyuan Zuo , Xingrun Yan , Rongfei Fan , Han Hu , Hangguan Shan , Tony Q. S. Quek , Puning Zhao

We study a recently proposed large-scale distributed learning paradigm, namely Federated Learning, where the worker machines are end users' own devices. Statistical and computational challenges arise in Federated Learning particularly in…

Machine Learning · Computer Science 2019-10-11 Avishek Ghosh , Justin Hong , Dong Yin , Kannan Ramchandran

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

Federated Learning (FL) allows collaborative model training across distributed clients without sharing raw data, thus preserving privacy. However, the system remains vulnerable to privacy leakage from gradient updates and Byzantine attacks…

Cryptography and Security · Computer Science 2025-09-16 Xian Qin , Xue Yang , Xiaohu Tang

This paper studies Byzantine-robust stochastic optimization over a decentralized network, where every agent periodically communicates with its neighbors to exchange local models, and then updates its own local model by stochastic gradient…

Machine Learning · Computer Science 2023-08-11 Jie Peng , Weiyu Li , Qing Ling

The rapid development of artificial intelligence systems has amplified societal concerns regarding their usage, necessitating regulatory frameworks that encompass data privacy. Federated Learning (FL) is posed as potential solution to data…

Machine Learning · Computer Science 2025-03-28 Mario García-Márquez , Nuria Rodríguez-Barroso , M. Victoria Luzón , Francisco Herrera

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 introduce CYBER-0, the first zero-order optimization algorithm for memory-and-communication efficient Federated Learning, resilient to Byzantine faults. We show through extensive numerical experiments on the MNIST dataset and finetuning…

Machine Learning · Computer Science 2024-06-21 Afonso de Sá Delgado Neto , Maximilian Egger , Mayank Bakshi , Rawad Bitar

Federated Learning (FL) emerges as a distributed machine learning approach that addresses privacy concerns by training AI models locally on devices. Decentralized Federated Learning (DFL) extends the FL paradigm by eliminating the central…

Machine Learning · Computer Science 2025-11-17 Diego Cajaraville-Aboy , Ana Fernández-Vilas , Rebeca P. Díaz-Redondo , Manuel Fernández-Veiga

The problem of designing distributed optimization algorithms that are resilient to Byzantine adversaries has received significant attention. For the Byzantine-resilient distributed optimization problem, the goal is to (approximately)…

Optimization and Control · Mathematics 2024-12-30 Kananart Kuwaranancharoen , Shreyas Sundaram