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Distributed learning has become the standard approach for training large-scale machine learning models across private data silos. While distributed learning enhances privacy preservation and training efficiency, it faces critical challenges…

Machine Learning · Computer Science 2024-09-16 Changxin Liu , Yanghao Li , Yuhao Yi , Karl H. Johansson

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

Machine Learning · Statistics 2015-08-24 Reinhard Heckel , Helmut Bölcskei

Federated Learning (FL) enables decentralized model training without sharing raw data. However, it remains vulnerable to Byzantine attacks, which can compromise the aggregation of locally updated parameters at the central server.…

Machine Learning · Computer Science 2025-09-30 Shiyuan Zuo , Rongfei Fan , Cheng Zhan , Jie Xu , Puning Zhao , Han Hu

Both Byzantine resilience and communication efficiency have attracted tremendous attention recently for their significance in edge federated learning. However, most existing algorithms may fail when dealing with real-world irregular data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Youming Tao , Sijia Cui , Wenlu Xu , Haofei Yin , Dongxiao Yu , Weifa Liang , Xiuzhen Cheng

In this paper, we study the problem of distributed training (DT) under Byzantine attacks with communication constraints. While prior work has developed various robust aggregation rules at the server to enhance robustness to Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Chengxi Li , Youssef Allouah , Rachid Guerraoui , Mikael Skoglund , Ming Xiao

We propose three new robust aggregation rules 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 2018-03-28 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta

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

Aggregation rules are the cornerstone of distributed (or federated) learning in the presence of adversaries, under the so-called Byzantine threat model. They are also interesting mathematical objects from the point of view of robust mean…

Machine Learning · Statistics 2026-02-05 Gilles Bareilles , Wassim Bouaziz , Julien Fageot , El-Mahdi El-Mhamdi

Clustering algorithms are pivotal in data analysis, enabling the organization of data into meaningful groups. However, individual clustering methods often exhibit inherent limitations and biases, preventing the development of a universal…

Neural and Evolutionary Computing · Computer Science 2024-12-13 H. Jahani , F. Zamio

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

Federated learning (FL) enables multiple clients to collaboratively train a global model without sharing their local data. Recent studies have highlighted the vulnerability of FL to Byzantine attacks, where malicious clients send poisoned…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-16 Kai Yue , Richeng Jin , Chau-Wai Wong , Huaiyu Dai

Metric $k$-center clustering is a fundamental unsupervised learning primitive. Although widely used, this primitive is heavily affected by noise in the data, so that a more sensible variant seeks for the best solution that disregards a…

Machine Learning · Computer Science 2022-02-28 Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

Federated learning (FL) enables collaborative model training across distributed clients without sharing raw data, but its robustness is threatened by Byzantine behaviors such as data and model poisoning. Existing defenses face fundamental…

Cryptography and Security · Computer Science 2025-09-12 Usama Zafar , André M. H. Teixeira , Salman Toor

$k$-means clustering is NP-hard in the worst case but previous work has shown efficient algorithms assuming the optimal $k$-means clusters are \emph{stable} under additive or multiplicative perturbation of data. This has two caveats. First,…

Data Structures and Algorithms · Computer Science 2019-02-27 Amit Deshpande , Anand Louis , Apoorv Vikram Singh

Clustering is an unsupervised learning technique in which data or objects are grouped into sets based on some similarity measure. Most of the clustering algorithms assume that the main memory is infinite and can accommodate the set of…

Data Structures and Algorithms · Computer Science 2015-05-25 Pankaj Kumar Yadav , Sriniwas Pandey , Sraban Kumar Mohanty

Machine learning has begun to play a central role in many applications. A multitude of these applications typically also involve datasets that are distributed across multiple computing devices/machines due to either design constraints…

Machine Learning · Statistics 2022-06-16 Cheng Fang , Zhixiong Yang , Waheed U. Bajwa

Clustering problems are well-studied in a variety of fields such as data science, operations research, and computer science. Such problems include variants of centre location problems, $k$-median, and $k$-means to name a few. In some cases,…

Data Structures and Algorithms · Computer Science 2017-07-17 Zachary Friggstad , Kamyar Khodamoradi , Mohsen Rezapour , Mohammad R. Salavatipour

Attribute-missing graph clustering has emerged as a significant unsupervised task, where only attribute vectors of partial nodes are available and the graph structure is intact. The related models generally follow the two-step paradigm of…

Machine Learning · Computer Science 2025-10-30 Mulin Chen , Bocheng Wang , Jiaxin Zhong , Zongcheng Miao , Xuelong Li

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

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