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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

As the network scale increases, existing fully distributed solutions start to lag behind the real-world challenges such as (1) slow information propagation, (2) network communication failures, and (3) external adversarial attacks. In this…

Machine Learning · Computer Science 2023-07-28 Connor Mclaughlin , Matthew Ding , Denis Edogmus , Lili Su

This report considers the problem of Byzantine fault-tolerance in synchronous parallelized learning that is founded on the parallelized stochastic gradient descent (parallelized-SGD) algorithm. The system comprises a master, and $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-23 Nirupam Gupta , Nitin H. Vaidya

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

In this paper we prove lower and matching upper bounds for the number of servers required to implement a regular shared register that tolerates unsynchronized Mobile Byzantine failures. We consider the strongest model of Mobile Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-18 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

In distributed learning systems, robustness issues may arise from two sources. On one hand, due to distributional shifts between training data and test data, the trained model could exhibit poor out-of-sample performance. On the other hand,…

Machine Learning · Computer Science 2022-11-01 Guanqiang Zhou , Ping Xu , Yue Wang , Zhi Tian

Consider a synchronous point-to-point network of n nodes connected by directed links, wherein each node has a binary input. This paper proves a tight necessary and sufficient condition on the underlying communication topology for achieving…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-21 Lewis Tseng , Nitin Vaidya

We give fault-tolerant algorithms for establishing synchrony in distributed systems in which each of the $n$ nodes has its own clock. Our algorithms operate in a very strong fault model: we require self-stabilisation, i.e., the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-12 Christoph Lenzen , Joel Rybicki

In this paper, we study the Byzantine lattice agreement problem in synchronous systems. The lattice agreement problem in crash failure model has been studied both in synchronous and asynchronous systems, which leads to the current best…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Xiong Zheng , Vijay Garg

This paper considers the good-case latency of Byzantine Reliable Broadcast (BRB), i.e., the time taken by correct processes to deliver a message when the initial sender is correct. This time plays a crucial role in the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-13 Timothé Albouy , Davide Frey , Michel Raynal , François Taïani

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

In distributed computing, a Byzantine fault is a condition where a component behaves inconsistently, showing different symptoms to different components of the system. Consensus among the correct components can be reached by appropriately…

Quantum Physics · Physics 2024-05-01 Zoltán Guba , István Finta , Ákos Budai , Lóránt Farkas , Zoltán Zimborás , András Pályi

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

We explore the correctness of the Certified Propagation Algorithm (CPA) [6, 1, 8, 5] in solving broadcast with locally bounded Byzantine faults. CPA allows the nodes to use only local information regarding the network topology. We provide a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-25 Lewis Tseng , Nitin Vaidya , Vartika Bhandari

In this paper, we present an efficient deterministic algorithm for consensus in presence of Byzantine failures. Our algorithm achieves consensus on an $L$-bit value with communication complexity $O(nL + n^4 L^{0.5} + n^6)$ bits, in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-19 Guanfeng Liang , Nitin Vaidya

Motivated, in part, by the rise of permissionless systems such as Bitcoin where arbitrary nodes (whose identities are not known apriori) can join and leave at will, we extend established research in scalable Byzantine agreement to a more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 John Augustine , Valerie King , Anisur R. Molla , Gopal Pandurangan , Jared Saia

This paper explores the problem good-case latency of Byzantine fault-tolerant broadcast, motivated by the real-world latency and performance of practical state machine replication protocols. The good-case latency measures the time it takes…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller