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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

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

We consider the federated learning problem where data on workers are not independent and identically distributed (i.i.d.). During the learning process, an unknown number of Byzantine workers may send malicious messages to the central node,…

Machine Learning · Computer Science 2021-08-31 Jie Peng , Zhaoxian Wu , Qing Ling , Tianyi Chen

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

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

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

Momentum is a variant of gradient descent that has been proposed for its benefits on convergence. In a distributed setting, momentum can be implemented either at the server or the worker side. When the aggregation rule used by the server is…

Machine Learning · Computer Science 2020-03-10 El-Mahdi El-Mhamdi , Rachid Guerraoui , Sébastien Rouault

There has been a growing need to provide Byzantine-resilience in distributed model training. Existing robust distributed learning algorithms focus on developing sophisticated robust aggregators at the parameter servers, but pay less…

Machine Learning · Computer Science 2021-10-12 Lingjiao Chen , Leshang Chen , Hongyi Wang , Susan Davidson , Edgar Dobriban

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

This paper focuses on decentralized stochastic optimization in the presence of Byzantine attacks. During the optimization process, an unknown number of malfunctioning or malicious workers, termed as Byzantine workers, disobey the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Zhaoxian Wu , Tianyi Chen , Qing Ling

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

In distributed learning, a central server trains a model according to updates provided by nodes holding local data samples. In the presence of one or more malicious servers sending incorrect information (a Byzantine adversary), standard…

Machine Learning · Computer Science 2022-08-26 Lindon Roberts , Edward Smyth

The recent advances in sensor technologies and smart devices enable the collaborative collection of a sheer volume of data from multiple information sources. As a promising tool to efficiently extract useful information from such big data,…

Machine Learning · Computer Science 2019-03-08 Richeng Jin , Xiaofan He , Huaiyu Dai

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

Both Byzantine resilience and communication efficiency have attracted tremendous attention recently for their significance in edge federated learning. However, most existing algorithms may fail when dealing with real-world irregular data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Youming Tao , Sijia Cui , Wenlu Xu , Haofei Yin , Dongxiao Yu , Weifa Liang , Xiuzhen Cheng

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

While machine learning is going through an era of celebrated success, concerns have been raised about the vulnerability of its backbone: stochastic gradient descent (SGD). Recent approaches have been proposed to ensure the robustness of…

Machine Learning · Statistics 2018-07-19 El Mahdi El Mhamdi , Rachid Guerraoui , Sébastien Rouault

We propose three new robust aggregation rules for distributed synchronous Stochastic Gradient Descent~(SGD) under a general Byzantine failure model. The attackers can arbitrarily manipulate the data transferred between the servers and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-28 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta

We study distributed optimization in the presence of Byzantine adversaries, where both data and computation are distributed among $m$ worker machines, $t$ of which may be corrupt. The compromised nodes may collaboratively and arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-05 Deepesh Data , Linqi Song , Suhas Diggavi

Recently, decentralized learning has emerged as a popular peer-to-peer signal and information processing paradigm that enables model training across geographically distributed agents in a scalable manner, without the presence of any central…

Machine Learning · Computer Science 2024-07-12 Haoxiang Ye , Qing Ling