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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

Distributed Learning often suffers from Byzantine failures, and there have been a number of works studying the problem of distributed stochastic optimization under Byzantine failures, where only a portion of workers, instead of all the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-17 Kaiyun Li , Xiaojun Chen , Ye Dong , Peng Zhang , Dakui Wang , Shuai Zen

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 work, we consider the distributed stochastic optimization problem of minimizing a non-convex function $f(x) = \mathbb{E}_{\xi \sim \mathcal{D}} f(x; \xi)$ in an adversarial setting, where the individual functions $f(x; \xi)$ can…

Optimization and Control · Mathematics 2019-12-11 Prashant Khanduri , Saikiran Bulusu , Pranay Sharma , Pramod K. Varshney

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

This paper deals with distributed finite-sum optimization for learning over networks in the presence of malicious Byzantine attacks. To cope with such attacks, most resilient approaches so far combine stochastic gradient descent (SGD) with…

Machine Learning · Computer Science 2023-07-19 Zhaoxian Wu , Qing Ling , Tianyi Chen , Georgios B. Giannakis

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

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

Distributed learning has emerged as a leading paradigm for training large machine learning models. However, in real-world scenarios, participants may be unreliable or malicious, posing a significant challenge to the integrity and accuracy…

Machine Learning · Computer Science 2024-06-10 Grigory Malinovsky , Peter Richtárik , Samuel Horváth , Eduard Gorbunov

We study adversary-resilient stochastic distributed optimization, in which $m$ machines can independently compute stochastic gradients, and cooperate to jointly optimize over their local objective functions. However, an $\alpha$-fraction of…

Machine Learning · Computer Science 2021-04-05 Zeyuan Allen-Zhu , Faeze Ebrahimian , Jerry Li , Dan Alistarh

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

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-robustness has been gaining a lot of attention due to the growth of the interest in collaborative and federated learning. However, many fruitful directions, such as the usage of variance reduction for achieving robustness and…

Machine Learning · Computer Science 2023-03-09 Eduard Gorbunov , Samuel Horváth , Peter Richtárik , Gauthier Gidel

In large-scale distributed learning, security issues have become increasingly important. Particularly in a decentralized environment, some computing units may behave abnormally, or even exhibit Byzantine failures -- arbitrary and…

Machine Learning · Computer Science 2021-02-26 Dong Yin , Yudong Chen , Kannan Ramchandran , Peter Bartlett

We propose two novel stochastic gradient descent algorithms, ByGARS and ByGARS++, for distributed machine learning in the presence of any number of Byzantine adversaries. In these algorithms, reputation scores of workers are computed using…

Machine Learning · Computer Science 2020-12-09 Jayanth Regatti , Hao Chen , Abhishek Gupta

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 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

We study distributed stochastic gradient descent (SGD) in the master-worker architecture under Byzantine attacks. We consider the heterogeneous data model, where different workers may have different local datasets, and we do not make any…

Machine Learning · Statistics 2020-05-19 Deepesh Data , Suhas Diggavi

Federated learning has exhibited vulnerabilities to Byzantine attacks, where the Byzantine attackers can send arbitrary gradients to a central server to destroy the convergence and performance of the global model. A wealth of robust…

Machine Learning · Computer Science 2023-06-06 Yuchen Liu , Chen Chen , Lingjuan Lyu , Fangzhao Wu , Sai Wu , Gang Chen

Communication between workers and the master node to collect local stochastic gradients is a key bottleneck in a large-scale federated learning system. Various recent works have proposed to compress the local stochastic gradients to…

Machine Learning · Computer Science 2024-02-06 Heng Zhu , Qing Ling
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