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We study Byzantine fault-tolerant distributed optimization of a sum of convex (cost) functions with real-valued scalar input/ouput. In particular, the goal is to optimize a global cost function $\frac{1}{|\mathcal{N}|}\sum_{i\in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-03 Lili Su , Nitin Vaidya

In this work we study the problem of Byzantine-robust learning when data among clients is heterogeneous. We focus on poisoning attacks targeting the convergence of SGD. Although this problem has received great attention; the main Byzantine…

Machine Learning · Computer Science 2022-10-18 Latifa Errami , El Houcine Bergou

Federated learning systems that jointly preserve Byzantine robustness and privacy have remained an open problem. Robust aggregation, the standard defense for Byzantine attacks, generally requires server access to individual updates or…

Cryptography and Security · Computer Science 2021-10-07 Raj Kiriti Velicheti , Derek Xia , Oluwasanmi Koyejo

In Byzantine collaborative learning, $n$ clients in a peer-to-peer network collectively learn a model without sharing their data by exchanging and aggregating stochastic gradient estimates. Byzantine clients can prevent others from…

Machine Learning · Computer Science 2025-04-08 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represents a local estimate of a solution to the global optimization…

Optimization and Control · Mathematics 2025-09-04 Tarek Bazizi , Mohamed Maghenem , Paolo Frasca , Antonio Lorìa , Elena Panteley

Training modern neural networks or models typically requires averaging over a sample of high-dimensional vectors. Poisoning attacks can skew or bias the average vectors used to train the model, forcing the model to learn specific patterns…

Cryptography and Security · Computer Science 2024-12-17 Sarthak Choudhary , Aashish Kolluri , Prateek Saxena

In the renaming problem, a set of $n$ nodes, each with a unique identity from a large namespace $[N]$, needs to obtain new unique identities in a smaller namespace $[M]$. A renaming algorithm is strong if $M=n$. Renaming is a classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Sirui Bai , Xinyu Fu , Yuheng Wang , Yuyi Wang , Chaodong Zheng

This paper addresses the problem of combining Byzantine resilience with privacy in machine learning (ML). Specifically, we study if a distributed implementation of the renowned Stochastic Gradient Descent (SGD) learning algorithm is…

Machine Learning · Computer Science 2021-06-25 Rachid Guerraoui , Nirupam Gupta , Rafaël Pinot , Sébastien Rouault , John Stephan

We study distributed optimization over networks with Byzantine agents that may send arbitrary adversarial messages. We propose \emph{Gradient Tracking with Probabilistic Edge Dropout} (GT-PD), a stochastic gradient tracking method that…

Machine Learning · Computer Science 2026-04-07 Amirhossein Dezhboro , Fateme Maleki , Arman Adibi , Erfan Amini , Jose E. Ramirez-Marquez

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Johanne Cohen , Laurence Pilard , François Pirot , Jonas Sénizergues

Federated Learning (FL) enables clients to collaboratively train a global model without sharing their private data. However, the presence of malicious (Byzantine) clients poses significant challenges to the robustness of FL, particularly…

Machine Learning · Computer Science 2026-05-26 Javad Parsa , Amir Hossein Daghestani , André M. H. Teixeira , Mikael Johansson

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

This paper investigates the robustness of over-the-air federated learning to Byzantine attacks. The simple averaging of the model updates via over-the-air computation makes the learning task vulnerable to random or intended modifications of…

Machine Learning · Computer Science 2022-06-24 Houssem Sifaou , Geoffrey Ye Li

This paper proposes a Byzantine-resilient consensus framework that simultaneously pursues two tightly coupled objectives: actively identifying Byzantine agents and guaranteeing resilient consensus among normal agents. Unlike existing…

Optimization and Control · Mathematics 2026-05-13 Rui Huang , Changxin Liu , Wen-Hua Chen , Yang Shi

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau \cite{turau2007linear} for computing such a vertex…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-17 Johanne Cohen , Laurence Pilard , Jonas Sénizergues

Within distributed learning, workers typically compute gradients on their assigned dataset chunks and send them to the parameter server (PS), which aggregates them to compute either an exact or approximate version of $\nabla L$ (gradient of…

Information Theory · Computer Science 2024-11-19 Aditya Ramamoorthy , Ruoyu Meng , Vrinda S. Girimaji

Modern ML applications increasingly rely on complex deep learning models and large datasets. There has been an exponential growth in the amount of computation needed to train the largest models. Therefore, to scale computation and data,…

Machine Learning · Computer Science 2023-09-26 Hamidreza Almasi , Harsh Mishra , Balajee Vamanan , Sathya N. Ravi

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

Gossip Learning (GL) is a decentralized learning paradigm where users iteratively exchange and aggregate models with a small set of neighboring peers. Recent GL approaches rely on dynamic communication graphs built and maintained using…

Machine Learning · Computer Science 2025-04-25 Yacine Belal , Mohamed Maouche , Sonia Ben Mokhtar , Anthony Simonet-Boulogne

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
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