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We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

Machine Learning · Computer Science 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

We are witnessing an increasing availability of streaming data that may contain valuable information on the underlying processes. It is thus attractive to be able to deploy machine learning models on edge devices near sensors such that…

Machine Learning · Computer Science 2024-10-22 David Campos , Bin Yang , Tung Kieu , Miao Zhang , Chenjuan Guo , Christian S. Jensen

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

Machine Learning · Computer Science 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

K-means is one of the most widely used algorithms for clustering in Data Mining applications, which attempts to minimize the sum of the square of the Euclidean distance of the points in the clusters from the respective means of the…

Machine Learning · Computer Science 2016-11-01 Sayantan Dasgupta

We provide the first streaming algorithm for computing a provable approximation to the $k$-means of sparse Big data. Here, sparse Big Data is a set of $n$ vectors in $\mathbb{R}^d$, where each vector has $O(1)$ non-zeroes entries, and…

Data Structures and Algorithms · Computer Science 2016-02-09 Artem Barger , Dan Feldman

This paper presents a novel approach to enhance communication efficiency in federated learning through clipped uniform quantization. By leveraging optimal clipping thresholds and client-specific adaptive quantization schemes, the proposed…

Machine Learning · Computer Science 2024-12-17 Zavareh Bozorgasl , Hao Chen

Increasing privacy and security concerns in intelligence-native 6G networks require quantum key distribution-secured semantic information communication (QKD-SIC). In QKD-SIC systems, edge devices connected via quantum channels can…

Cryptography and Security · Computer Science 2022-09-27 Rakpong Kaewpuang , Minrui Xu , Wei Yang Bryan Lim , Dusit Niyato , Han Yu , Jiawen Kang , Xuemin Sherman Shen

Distributed edge learning (DL) is considered a cornerstone of intelligence enablers, since it allows for collaborative training without the necessity for local clients to share raw data with other parties, thereby preserving privacy and…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Paul Zheng , Navid Keshtiarast , Pradyumna Kumar Bishoyi , Yao Zhu , Yulin Hu , Marina Petrova , Anke Schmeink

Clustering is a key task in machine learning, with $k$-means being widely used for its simplicity and effectiveness. While 1D clustering is common, existing methods often fail to exploit the structure of 1D data, leading to inefficiencies.…

Data Structures and Algorithms · Computer Science 2024-12-25 Jake Hyun

Edge machine learning involves the deployment of learning algorithms at the wireless network edge so as to leverage massive mobile data for enabling intelligent applications. The mainstream edge learning approach, federated learning, has…

Information Theory · Computer Science 2020-06-24 Yuqing Du , Sheng Yang , Kaibin Huang

Edge learning facilitates ubiquitous intelligence by enabling model training and adaptation directly on data-generating devices, thereby mitigating privacy risks and communication latency. However, the high computational and energy overhead…

Machine Learning · Computer Science 2026-02-03 Laha Ale , Hu Luo , Mingsheng Cao , Shichao Li , Huanlai Xing , Haifeng Sun

The connected $k$-median problem is a constrained clustering problem that combines distance-based $k$-clustering with connectivity information. The problem allows to input a metric space and an unweighted undirected connectivity graph that…

Data Structures and Algorithms · Computer Science 2025-07-04 Jan Eube , Kelin Luo , Dorian Reineccius , Heiko Röglin , Melanie Schmidt

In discrete k-center and k-median clustering, we are given a set of points P in a metric space M, and the task is to output a set C \subseteq ? P, |C| = k, such that the cost of clustering P using C is as small as possible. For k-center,…

Data Structures and Algorithms · Computer Science 2013-07-10 Nirman Kumar , Benjamin Raichel

$\renewcommand{\Re}{{\rm I\!\hspace{-0.025em} R}} \newcommand{\eps}{{\varepsilon}} \newcommand{\Coreset}{{\mathcal{S}}} $ In this paper, we show the existence of small coresets for the problems of computing $k$-median and $k$-means…

Computational Geometry · Computer Science 2018-10-31 Sariel Har-Peled , Soham Mazumdar

Clustering is one of the most fundamental tools in data science and machine learning, and k-means clustering is one of the most common such methods. There is a variety of approximate algorithms for the k-means problem, but computing the…

Optimization and Control · Mathematics 2024-02-22 Martin Ryner , Jan Kronqvist , Johan Karlsson

Clustering is a long-standing problem area in data mining. The centroid-based classical approaches to clustering mainly face difficulty in the case of high dimensional inputs such as images. With the advent of deep neural networks, a common…

Machine Learning · Computer Science 2024-12-02 Debapriya Roy

The capability of classifying and clustering a desired set of data is an essential part of building knowledge from data. However, as the size and dimensionality of input data increases, the run-time for such clustering algorithms is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-25 Hadi Mardani Kamali

Center-based clustering techniques are fundamental in some areas of machine learning such as data summarization. Generic $k$-center algorithms can produce biased cluster representatives so there has been a recent interest in fair $k$-center…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-21 Jinxiang Gan , Mordecai Golin , Zonghan Yang , Yuhao Zhang

K-means -- and the celebrated Lloyd algorithm -- is more than the clustering method it was originally designed to be. It has indeed proven pivotal to help increase the speed of many machine learning and data analysis techniques such as…

Machine Learning · Computer Science 2019-08-26 Luc Giffon , Valentin Emiya , Liva Ralaivola , Hachem Kadri

In the near future, Internet-of-Things (IoT) is expected to connect billions of devices (e.g., smartphones and sensors), which generate massive real-time data at the network edge. Intelligence can be distilled from the data to support…

Information Theory · Computer Science 2019-12-04 Qiao Lan , Zezhong Zhang , Yuqing Du , Zhenyi Lin , Kaibin Huang