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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…

机器学习 · 计算机科学 2023-07-17 Georgios Vardakas , Aristidis Likas

Clustering is a useful data exploratory method with its wide applicability in multiple fields. However, data clustering greatly relies on initialization of cluster centers that can result in large intra-cluster variance and dead centers,…

机器学习 · 计算机科学 2017-05-15 Vibin Vijay , Raghunath Vp , Amarjot Singh , SN Omar

Identifying a set of homogeneous clusters in a heterogeneous dataset is one of the most important classes of problems in statistical modeling. In the realm of unsupervised partitional clustering, k-means is a very important algorithm for…

机器学习 · 统计学 2017-05-23 J. Andrew Howe

Cluster analysis is widely used in the areas of machine learning and data mining. Fuzzy clustering is a particular method that considers that a data point can belong to more than one cluster. Fuzzy clustering helps obtain flexible clusters,…

机器学习 · 计算机科学 2018-06-06 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont

Algorithms for clustering points in metric spaces is a long-studied area of research. Clustering has seen a multitude of work both theoretically, in understanding the approximation guarantees possible for many objective functions such as…

数据结构与算法 · 计算机科学 2019-05-27 Maria-Florina Balcan , Travis Dick , Colin White

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,…

统计方法学 · 统计学 2026-04-07 Zhili Qiao , Wangqian Ju , Peng Liu

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

机器学习 · 计算机科学 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Although numerous algorithms have been proposed to solve the categorical data clustering problem, how to access the statistical significance of a set of categorical clusters remains unaddressed. To fulfill this void, we employ the…

机器学习 · 计算机科学 2022-11-09 Lianyu Hu , Mudi Jiang , Yan Liu , Zengyou He

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

数据库 · 计算机科学 2012-06-04 Mohamed A. El-Zawawy

This paper gives a k-means approximation algorithm that is efficient in the relational algorithms model. This is an algorithm that operates directly on a relational database without performing a join to convert it to a matrix whose rows…

数据结构与算法 · 计算机科学 2021-05-24 Benjamin Moseley , Kirk Pruhs , Alireza Samadian , Yuyan Wang

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

数据库 · 计算机科学 2020-03-11 Mujahid Sultan

A new model called Clustering with Neural Network and Index (CNNI) is introduced. CNNI uses a Neural Network to cluster data points. Training of the Neural Network mimics supervised learning, with an internal clustering evaluation index…

机器学习 · 计算机科学 2024-12-03 Gangli Liu

We study federated clustering, where interconnected devices collaboratively cluster the data points of private local datasets. Focusing on hard clustering via the k-means principle, we formulate federated k-means as an instance of…

机器学习 · 计算机科学 2026-01-29 Xu Yang , Salvatore Rastelli , Alexander Jung

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…

最优化与控制 · 数学 2024-02-22 Martin Ryner , Jan Kronqvist , Johan Karlsson

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Recent advances in technology have made our work easier compare to earlier times. Computer network is growing day by day but while discussing about the security of computers and networks it has always been a major concerns for organizations…

分布式、并行与集群计算 · 计算机科学 2014-04-11 Ravi Ranjan , G. Sahoo

The $K$-means algorithm is extended to allow for partitioning of skewed groups. Our algorithm is called TiK-Means and contributes a $K$-means type algorithm that assigns observations to groups while estimating their skewness-transformation…

机器学习 · 统计学 2019-05-21 Nicholas S. Berry , Ranjan Maitra

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

机器学习 · 统计学 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Organizing data into semantically more meaningful is one of the fundamental modes of understanding and learning. Cluster analysis is a formal study of methods for understanding and algorithm for learning. K-mean clustering algorithm is one…

机器学习 · 计算机科学 2013-01-03 Doreswamy , K. S. Hemanth

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…

机器学习 · 计算机科学 2020-05-12 Tien-Dung Nguyen