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Byzantine attacks hinder the deployment of federated learning algorithms. Although we know that the benign gradients and Byzantine attacked gradients are distributed differently, to detect the malicious gradients is challenging due to (1)…

Machine Learning · Computer Science 2026-03-27 Wanchuang Zhu , Benjamin Zi Hao Zhao , Simon Luo , Tongliang Liu , Ke Deng

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

Federated Learning (FL) enables heterogeneous clients to collaboratively train a shared model without centralizing their raw data, offering an inherent level of privacy. However, gradients and model updates can still leak sensitive…

Machine Learning · Computer Science 2026-04-07 Rustem Islamov , Grigory Malinovsky , Alexander Gaponov , Aurelien Lucchi , Peter Richtárik , Eduard Gorbunov

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

Optimization and Control · Mathematics 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

We propose Byzantine-robust federated learning protocols with nearly optimal statistical rates. In contrast to prior work, our proposed protocols improve the dimension dependence and achieve a tight statistical rate in terms of all the…

Machine Learning · Computer Science 2023-03-21 Banghua Zhu , Lun Wang , Qi Pang , Shuai Wang , Jiantao Jiao , Dawn Song , Michael I. Jordan

Emerging technologies and applications including Internet of Things (IoT), social networking, and crowd-sourcing generate large amounts of data at the network edge. Machine learning models are often built from the collected data, to enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-19 Shiqiang Wang , Tiffany Tuor , Theodoros Salonidis , Kin K. Leung , Christian Makaya , Ting He , Kevin Chan

In this paper, we propose an iterative scheme for distributed Byzantineresilient estimation of a gradient associated with a black-box model. Our algorithm is based on simultaneous perturbation, secure state estimation and two-timescale…

Artificial Intelligence · Computer Science 2022-10-03 Alexandre Reiffers-Masson , Isabel Amigo

We propose a novel robust aggregation rule 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 2018-05-25 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta

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

Federated learning (FL) facilitates distributed training across different IoT and edge devices, safeguarding the privacy of their data. The inherent distributed structure of FL introduces vulnerabilities, especially from adversarial devices…

Cryptography and Security · Computer Science 2023-11-13 Shenghui Li , Edith Ngai , Fanghua Ye , Li Ju , Tianru Zhang , Thiemo Voigt

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

Ensuring that an AI system behaves reliably and as intended, especially in the presence of unexpected faults or adversarial conditions, is a complex challenge. Inspired by the field of Byzantine Fault Tolerance (BFT) from distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 John deVadoss , Matthias Artzt

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

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

Optimization and Control · Mathematics 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

In federated learning, multiple client devices jointly learn a machine learning model: each client device maintains a local model for its local training dataset, while a master device maintains a global model via aggregating the local…

Cryptography and Security · Computer Science 2021-11-23 Minghong Fang , Xiaoyu Cao , Jinyuan Jia , Neil Zhenqiang Gong

In this paper, we investigate the challenging framework of Byzantine-robust training in distributed machine learning (ML) systems, focusing on enhancing both efficiency and practicality. As distributed ML systems become integral for complex…

Machine Learning · Computer Science 2024-09-04 Tehila Dahan , Kfir Y. Levy

The stability and generalization of stochastic gradient-based methods provide valuable insights into understanding the algorithmic performance of machine learning models. As the main workhorse for deep learning, stochastic gradient descent…

Machine Learning · Statistics 2021-02-24 Tao Sun , Dongsheng Li , Bao Wang

This paper studies the problem of distributed stochastic optimization in an adversarial setting where, out of the $m$ machines which allegedly compute stochastic gradients every iteration, an $\alpha$-fraction are Byzantine, and can behave…

Machine Learning · Computer Science 2018-03-26 Dan Alistarh , Zeyuan Allen-Zhu , Jerry Li

In this paper, we study the challenging task of Byzantine-robust decentralized training on arbitrary communication graphs. Unlike federated learning where workers communicate through a server, workers in the decentralized environment can…

Machine Learning · Computer Science 2023-04-21 Lie He , Sai Praneeth Karimireddy , Martin Jaggi

Federated learning enables training collaborative machine learning models at scale with many participants whilst preserving the privacy of their datasets. Standard federated learning techniques are vulnerable to Byzantine failures, biased…

Machine Learning · Statistics 2019-09-12 Luis Muñoz-González , Kenneth T. Co , Emil C. Lupu