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Recent advances in large-scale distributed learning algorithms have enabled communication-efficient training via SignSGD. Unfortunately, a major issue continues to plague distributed learning: namely, Byzantine failures may incur serious…

Information Theory · Computer Science 2020-10-27 Jy-yong Sohn , Dong-Jun Han , Beongjun Choi , Jaekyun Moon

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

This report considers the problem of Byzantine fault-tolerance in synchronous parallelized learning that is founded on the parallelized stochastic gradient descent (parallelized-SGD) algorithm. The system comprises a master, and $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-23 Nirupam Gupta , Nitin H. Vaidya

Network coding is an elegant technique where, instead of simply relaying the packets of information they receive, the nodes of a network are allowed to combine \emph{several} packets together for transmission and this technique can be used…

Networking and Internet Architecture · Computer Science 2013-03-12 Jen-Yeu Chen , Yi-ying Tseng

We study local stochastic gradient descent methods for solving federated optimization over a network of agents communicating indirectly through a centralized coordinator. We are interested in the Byzantine setting where there is a subset of…

Optimization and Control · Mathematics 2024-09-06 Amit Dutta , Thinh T. Doan

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

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 has become a necessity for training ever-growing models by sharing calculation among several devices. However, some of the devices can be faulty, deliberately or not, preventing the proper convergence. As a matter of…

Machine Learning · Computer Science 2022-02-08 Jason Akoun , Sebastien Meyer

To defend against Byzantine attacks in decentralized learning, most existing methods rely on robust aggregation rules to mitigate the influence of malicious machines. However, these strategies inherently introduce bias, leading to inexact…

Methodology · Statistics 2026-04-20 Siyuan Zhang , Chengde Qian , Xin Liu , Changliang Zou

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 study robust distributed learning that involves minimizing a non-convex loss function with saddle points. We consider the Byzantine setting where some worker machines have abnormal or even arbitrary and adversarial behavior. In this…

Machine Learning · Computer Science 2020-07-30 Dong Yin , Yudong Chen , Kannan Ramchandran , Peter Bartlett

Distributed model training needs to be adapted to challenges such as the straggler effect and Byzantine attacks. When coordinating the training process with multiple computing nodes, ensuring timely and reliable gradient aggregation amidst…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-11 Jiahe Yan , Pratik Chaudhari , Leonard Kleinrock

Distributed machine learning algorithms enable learning of models from datasets that are distributed over a network without gathering the data at a centralized location. While efficient distributed algorithms have been developed under the…

Machine Learning · Computer Science 2020-07-07 Zhixiong Yang , Waheed U. Bajwa

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

Recent years have witnessed a growing interest in the topic of min-max optimization, owing to its relevance in the context of generative adversarial networks (GANs), robust control and optimization, and reinforcement learning. Motivated by…

Machine Learning · Computer Science 2022-04-08 Arman Adibi , Aritra Mitra , George J. Pappas , Hamed Hassani

In this paper, we propose a first-order distributed optimization algorithm that is provably robust to Byzantine failures-arbitrary and potentially adversarial behavior, where all the participating agents are prone to failure. We model each…

Optimization and Control · Mathematics 2022-07-27 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

Privacy and Byzantine resilience are two indispensable requirements for a federated learning (FL) system. Although there have been extensive studies on privacy and Byzantine security in their own track, solutions that consider both remain…

Machine Learning · Computer Science 2023-08-03 Zihang Xiang , Tianhao Wang , Wanyu Lin , Di Wang

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

Distributed learning has become a promising computational parallelism paradigm that enables a wide scope of intelligent applications from the Internet of Things (IoT) to autonomous driving and the healthcare industry. This paper studies…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Yuhan Yang , Youlong Wu , Yuning Jiang , Yuanming Shi