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We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

Information Theory · Computer Science 2018-01-18 Elsa Dupraz

K-means defines one of the most employed centroid-based clustering algorithms with performances tied to the data's embedding. Intricate data embeddings have been designed to push $K$-means performances at the cost of reduced theoretical…

Machine Learning · Computer Science 2022-02-17 Romain Cosentino , Randall Balestriero , Yanis Bahroun , Anirvan Sengupta , Richard Baraniuk , Behnaam Aazhang

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

Among all the partition based clustering algorithms K-means is the most popular and well known method. It generally shows impressive results even in considerably large data sets. The computational complexity of K-means does not suffer from…

Machine Learning · Computer Science 2009-12-22 Samarjeet Borah , Mrinal Kanti Ghose

The $k$-means algorithm is a prevalent clustering method due to its simplicity, effectiveness, and speed. However, its main disadvantage is its high sensitivity to the initial positions of the cluster centers. The global $k$-means is a…

Machine Learning · Computer Science 2023-07-17 Georgios Vardakas , Aristidis Likas

This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

Machine Learning · Computer Science 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

This paper presents an accelerated spherical K-means clustering algorithm for large-scale and high-dimensional sparse document data sets. We design an algorithm working in an architecture-friendly manner (AFM), which is a procedure of…

Machine Learning · Statistics 2024-11-19 Kazuo Aoyama , Kazumi Saito

K-means (MacQueen, 1967) [1] is one of the simplest unsupervised learning algorithms that solve the well-known clustering problem. The procedure follows a simple and easy way to classify a given data set to a predefined, say K number of…

Machine Learning · Computer Science 2017-06-23 Srikanta Kolay , Kumar Sankar Ray , Abhoy Chand Mondal

K-means is one of the most widely used clustering algorithms in various disciplines, especially for large datasets. However the method is known to be highly sensitive to initial seed selection of cluster centers. K-means++ has been proposed…

Machine Learning · Computer Science 2016-04-19 Fouad Khan

Kernel-based K-means clustering has gained popularity due to its simplicity and the power of its implicit non-linear representation of the data. A dominant concern is the memory requirement since memory scales as the square of the number of…

Machine Learning · Statistics 2016-12-05 Farhad Pourkamali-Anaraki , Stephen Becker

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

Due to its simplicity and versatility, k-means remains popular since it was proposed three decades ago. The performance of k-means has been enhanced from different perspectives over the years. Unfortunately, a good trade-off between quality…

Machine Learning · Computer Science 2016-12-06 Wan-Lei Zhao , Cheng-Hao Deng , Chong-Wah Ngo

The $k$-means algorithm is one of the most widely used clustering heuristics. Despite its simplicity, analyzing its running time and quality of approximation is surprisingly difficult and can lead to deep insights that can be used to…

Data Structures and Algorithms · Computer Science 2016-02-29 Johannes Blömer , Christiane Lammersen , Melanie Schmidt , Christian Sohler

The Incremental K-means (IKM), an improved version of K-means (KM), was introduced to improve the clustering quality of KM significantly. However, the speed of IKM is slower than KM. My thesis proposes two algorithms to speed up IKM while…

Machine Learning · Computer Science 2020-05-12 Tien-Dung Nguyen

K-means clustering, a classic and widely-used clustering technique, is known to exhibit suboptimal performance when applied to non-linearly separable data. Numerous adjustments and modifications have been proposed to address this issue,…

Methodology · Statistics 2026-04-07 Zhili Qiao , Wangqian Ju , Peng Liu

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

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Center-based clustering is a fundamental primitive for data analysis and becomes very challenging for large datasets. In this paper, we focus on the popular $k$-median and $k$-means variants which, given a set $P$ of points from a metric…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-01 Alessio Mazzetto , Andrea Pietracaprina , Geppino Pucci

This paper introduces a novel K-means clustering algorithm, an advancement on the conventional Big-means methodology. The proposed method efficiently integrates parallel processing, stochastic sampling, and competitive optimization to…

Machine Learning · Computer Science 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu