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We tackle the problem of Byzantine errors in distributed gradient descent within the Byzantine-resilient gradient coding framework. Our proposed solution can recover the exact full gradient in the presence of $s$ malicious workers with a…

Information Theory · Computer Science 2024-01-31 Shreyas Jain , Luis Maßny , Christoph Hofmeister , Eitan Yaakobi , Rawad Bitar

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

Byzantine Fault Tolerance (BFT) is one of the most challenging problems in Distributed Machine Learning (DML), defined as the resilience of a fault-tolerant system in the presence of malicious components. Byzantine failures are still…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-06 Djamila Bouhata , Hamouma Moumen , Jocelyn Ahmed Mazari , Ahcène Bounceur

Federated learning (FL) is designed to preserve data privacy during model training, where the data remains on the client side (i.e., IoT devices), and only model updates of clients are shared iteratively for collaborative learning. However,…

Machine Learning · Computer Science 2023-09-08 Zikai Zhang , Rui Hu

We analyze stochastic gradient descent for optimizing non-convex functions. In many cases for non-convex functions the goal is to find a reasonable local minimum, and the main concern is that gradient updates are trapped in saddle points.…

Machine Learning · Computer Science 2015-03-10 Rong Ge , Furong Huang , Chi Jin , Yang Yuan

Most existing Byzantine-robust federated learning (FL) methods suffer from slow and unstable convergence. Moreover, when handling a substantial proportion of colluded malicious clients, achieving robustness typically entails compromising…

Machine Learning · Computer Science 2026-04-17 He Yang , Dongyi Lv , Wei Xi , Song Ma , Hanlin Gu , Jizhong Zhao

In federated learning (FL), profiling and verifying each client is inherently difficult, which introduces a significant security vulnerability: malicious clients, commonly referred to as Byzantines, can degrade the accuracy of the global…

Machine Learning · Computer Science 2026-05-07 Emre Ozfatura , Kerem Ozfatura , Baturalp Buyukates , Mert Coskuner , Alptekin Kupcu , Deniz Gunduz

In this paper, we propose a robust aggregation method for federated learning (FL) that can effectively tackle malicious Byzantine attacks. At each user, model parameter is firstly updated by multiple steps, which is adjustable over…

Machine Learning · Computer Science 2023-08-22 Shiyuan Zuo , Rongfei Fan , Han Hu , Ning Zhang , Shimin Gong

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

We consider gradient coding in the presence of an adversary controlling so-called malicious workers trying to corrupt the computations. Previous works propose the use of MDS codes to treat the responses from malicious workers as errors and…

Information Theory · Computer Science 2024-01-08 Christoph Hofmeister , Luis Maßny , Eitan Yaakobi , Rawad Bitar

Motivated by the super-diffusivity of self-repelling random walk, which has roots in statistical physics, this paper develops a new perturbation mechanism for optimization algorithms. In this mechanism, perturbations are adapted to the…

Optimization and Control · Mathematics 2022-03-29 Xin Guo , Jiequn Han , Mahan Tajrobehkar , Wenpin Tang

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…

In this paper, we introduce proximal gradient temporal difference learning, which provides a principled way of designing and analyzing true stochastic gradient temporal difference learning algorithms. We show how gradient TD (GTD)…

Machine Learning · Computer Science 2020-06-09 Bo Liu , Ian Gemp , Mohammad Ghavamzadeh , Ji Liu , Sridhar Mahadevan , Marek Petrik

The diffusion strategy for distributed learning from streaming data employs local stochastic gradient updates along with exchange of iterates over neighborhoods. In Part I [2] of this work we established that agents cluster around a network…

Multiagent Systems · Computer Science 2019-07-04 Stefan Vlaski , Ali H. Sayed

Recently emerged federated learning (FL) is an attractive distributed learning framework in which numerous wireless end-user devices can train a global model with the data remained autochthonous. Compared with the traditional machine…

Cryptography and Security · Computer Science 2022-10-10 Junyu Shi , Wei Wan , Shengshan Hu , Jianrong Lu , Leo Yu Zhang

Robust distributed learning algorithms aim to maintain reliable performance despite the presence of misbehaving workers. Such misbehaviors are commonly modeled as Byzantine failures, allowing arbitrarily corrupted communication, or as data…

Machine Learning · Computer Science 2025-10-17 Thomas Boudou , Batiste Le Bars , Nirupam Gupta , Aurélien Bellet

We address the challenges of Byzantine-robust training in asynchronous distributed machine learning systems, aiming to enhance efficiency amid massive parallelization and heterogeneous computing resources. Asynchronous systems, marked by…

Machine Learning · Computer Science 2025-06-05 Tehila Dahan , Kfir Y. Levy

We consider the problem of Byzantine fault-tolerance in federated machine learning. In this problem, the system comprises multiple agents each with local data, and a trusted centralized coordinator. In fault-free setting, the agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Nirupam Gupta , Thinh T. Doan , Nitin Vaidya

Modern distributed systems face growing security threats, as attackers continuously enhance their skills and vulnerabilities span across the entire system stack, from hardware to the application layer. In the system design phase, fault…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-07 Silvia Bonomi , Giovanni Farina , Roy Friedman , Eviatar B. Procaccia , Sebastien Tixeuil

This paper develops an efficient distributed inference algorithm, which is robust against a moderate fraction of Byzantine nodes, namely arbitrary and possibly adversarial machines in a distributed learning system. In robust statistics, the…

Machine Learning · Statistics 2021-03-05 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Xi Chen