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Related papers: Byzantine-Robust Optimization under $(L_0, L_1)$-S…

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Privacy and Byzantine resilience (BR) are two crucial requirements of modern-day distributed machine learning. The two concepts have been extensively studied individually but the question of how to combine them effectively remains…

Machine Learning · Computer Science 2023-10-06 Rachid Guerraoui , Nirupam Gupta , Rafael Pinot , Sebastien Rouault , John Stephan

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

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

This work considers two related learning problems in a federated attack prone setting: federated principal components analysis (PCA) and federated low rank column-wise sensing (LRCS). The node attacks are assumed to be Byzantine which means…

Information Theory · Computer Science 2024-08-12 Ankit Pratap Singh , Namrata Vaswani

In this paper, we investigate the problem of decentralized online resource allocation in the presence of Byzantine attacks. In this problem setting, some agents may be compromised due to external manipulations or internal failures, causing…

Optimization and Control · Mathematics 2026-05-27 Runhua Wang , Qing Ling , Hoi-To Wai , Zhi Tian

State-of-the-art machine learning models are routinely trained on large-scale distributed clusters. Crucially, such systems can be compromised when some of the computing devices exhibit abnormal (Byzantine) behavior and return arbitrary…

Machine Learning · Computer Science 2022-01-25 Konstantinos Konstantinidis , Aditya Ramamoorthy

Stochastic convex optimization is a basic and well studied primitive in machine learning. It is well known that convex and Lipschitz functions can be minimized efficiently using Stochastic Gradient Descent (SGD). The Normalized Gradient…

Machine Learning · Computer Science 2015-10-29 Elad Hazan , Kfir Y. Levy , Shai Shalev-Shwartz

In distributed learning, sign-based compression algorithms such as signSGD with majority vote provide a lightweight alternative to SGD with an additional advantage: fault tolerance (almost) for free. However, for signSGD with majority vote,…

Machine Learning · Computer Science 2025-03-12 Emanuele Mengoli , Luzius Moll , Virgilio Strozzi , El-Mahdi El-Mhamdi

Modern machine learning (ML) models are capable of impressive performances. However, their prowess is not due only to the improvements in their architecture and training algorithms but also to a drastic increase in computational power used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-27 Andrei Kucharavy , Matteo Monti , Rachid Guerraoui , Ljiljana Dolamic

Federated learning has arisen as a mechanism to allow multiple participants to collaboratively train a model without sharing their data. In these settings, participants (workers) may not trust each other fully; for instance, a set of…

Machine Learning · Computer Science 2021-07-28 Kamala Varma , Yi Zhou , Nathalie Baracaldo , Ali Anwar

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

We study gradient methods for optimizing $(L_0, L_1)$-smooth functions, a class that generalizes Lipschitz-smooth functions and has gained attention for its relevance in machine learning. We provide new insights into the structure of this…

Optimization and Control · Mathematics 2025-03-11 Daniil Vankov , Anton Rodomanov , Angelia Nedich , Lalitha Sankar , Sebastian U. Stich

Randomized smoothing is a widely adopted technique for optimizing nonsmooth objective functions. However, its efficiency analysis typically relies on global Lipschitz continuity, a condition rarely met in practical applications. To address…

Optimization and Control · Mathematics 2025-09-10 Jingfan Xia , Zhenwei Lin , Qi Deng

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 revisit Byzantine robust distributed estimation for high-dimensional sparse linear models. By combining local $\ell_1$-regularized robust estimation with robust aggregation at the server, the framework applies to pseudo-Huber regression,…

Machine Learning · Computer Science 2026-05-14 Yuxuan Wang , Lixin Zhang , Kangqiang Li

Decentralized machine learning (DL) has been receiving an increasing interest recently due to the elimination of a single point of failure, present in Federated learning setting. Yet, it is threatened by the looming threat of Byzantine…

Cryptography and Security · Computer Science 2024-04-30 Ali Reza Ghavamipour , Benjamin Zi Hao Zhao , Oguzhan Ersoy , Fatih Turkmen

In this paper, we consider a min-max optimization problem under adversarial manipulation, where there are $n$ cost functions, up to $f$ of which may be replaced by arbitrary faulty functions by an adversary. The goal is to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Shuo Liu , Nitin Vaidya

Distributed multi-task learning provides significant advantages in multi-agent networks with heterogeneous data sources where agents aim to learn distinct but correlated models simultaneously.However, distributed algorithms for learning…

Machine Learning · Computer Science 2021-01-11 Jiani Li , Waseem Abbas , Xenofon Koutsoukos

This paper focuses on the problem of adversarial attacks from Byzantine machines in a Federated Learning setting where non-Byzantine machines can be partitioned into disjoint clusters. In this setting, non-Byzantine machines in the same…

Machine Learning · Statistics 2023-06-02 Zhixu Tao , Kun Yang , Sanjeev R. Kulkarni

Recent advancements in machine learning have improved performance while also increasing computational demands. While federated and distributed setups address these issues, their structures remain vulnerable to malicious influences. In this…