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A new clustering accuracy measure is proposed to determine the unknown number of clusters and to assess the quality of clustering of a data set given in any dimensional space. Our validity index applies the classical nonparametric…

统计方法学 · 统计学 2022-02-15 Soumita Modak

In [1], a clustering algorithm was given to find the centers of clusters quickly. However, the accuracy of this algorithm heavily depend on the threshold value of d-c. Furthermore, [1] has not provided any efficient way to select the…

机器学习 · 计算机科学 2015-01-21 Shuliang Wang , Dakui Wang , Caoyuan Li , Yan Li

A novel method, termed Reduced Dimensionality Cluster Identification, RDCI, is presented, for the identification and quantitative description of clusters formed by N objects in three dimensional space. The method consists of finding a path,…

其他凝聚态物理 · 物理学 2013-06-17 Theophanes Raptis , Vasilios Raptis

In this paper a fuzzy clustering model for fuzzy data with outliers is proposed. The model is based on Wasserstein distance between interval valued data which is generalized to fuzzy data. In addition, Keller's approach is used to identify…

计算机视觉与模式识别 · 计算机科学 2015-03-17 M. H. Fazel Zarandi , Zahra S. Razaee

Image segmentation in the medical domain is a challenging field owing to poor resolution and limited contrast. The predominantly used conventional segmentation techniques and the thresholding methods suffer from limitations because of heavy…

计算机视觉与模式识别 · 计算机科学 2016-05-10 Jiyo. S. Athertya , G. Saravana Kumar

The traditional prototype based clustering methods, such as the well-known fuzzy c-mean (FCM) algorithm, usually need sufficient data to find a good clustering partition. If the available data is limited or scarce, most of the existing…

机器学习 · 计算机科学 2016-04-06 Zhaohong Deng , Yizhang Jiang , Fu-Lai Chung , Hisao Ishibuchi , Kup-Sze Choi , Shitong Wang

In model-based clustering and classification, the cluster-weighted model constitutes a convenient approach when the random vector of interest constitutes a response variable Y and a set p of explanatory variables X. However, its…

统计方法学 · 统计学 2013-07-23 Sanjeena Subedi , Antonio Punzo , Salvatore Ingrassia , Paul D. McNicholas

We develop an effective nonhierarchical data clustering method using an analogy to the dynamic coarse graining of a stochastic system. Analyzing the eigensystem of an interitem transition matrix identifies fuzzy clusters corresponding to…

数据分析、统计与概率 · 物理学 2009-11-10 Daniel Korenblum , David Shalloway

World Wide Web is a huge repository of information and there is a tremendous increase in the volume of information daily. The number of users are also increasing day by day. To reduce users browsing time lot of research is taken place. Web…

信息检索 · 计算机科学 2014-05-22 V. Chitraa , Antony Selvadoss Thanamani

In this paper, we test whether two datasets share a common clustering structure. As a leading example, we focus on comparing clustering structures in two independent random samples from two mixtures of multivariate normal distributions.…

统计理论 · 数学 2022-11-21 Chao Gao , Zongming Ma

Clustering is a widely used and powerful machine learning technique, but its effectiveness is often limited by the need to specify the number of clusters, k, or by relying on thresholds that implicitly determine k. We introduce k*-means, a…

机器学习 · 计算机科学 2025-05-20 Louis Mahon , Mirella Lapata

We propose an algorithm for clustering high dimensional data. If $P$ features for $N$ objects are represented in an $N\times P$ matrix ${\bf X}$, where $N\ll P$, the method is based on exploiting the cluster-dependent structure of the…

机器学习 · 统计学 2018-11-05 Shahina Rahman , Valen E. Johnson

Datasets in high-dimension do not typically form clusters in their original space; the issue is worse when the number of points in the dataset is small. We propose a low-computation method to find statistically significant clustering…

机器学习 · 统计学 2020-08-24 Alden Bradford , Tarun Yellamraju , Mireille Boutin

Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

统计方法学 · 统计学 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

最优化与控制 · 数学 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

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…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

机器学习 · 统计学 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

Time series clustering is an essential machine learning task with applications in many disciplines. While the majority of the methods focus on time series taking values on the real line, very few works consider time series defined on the…

应用统计 · 统计学 2024-02-15 Ángel López-Oriona , Ying Sun , Rosa M. Crujeiras

Internal cluster validity measures (such as the Calinski-Harabasz, Dunn, or Davies-Bouldin indices) are frequently used for selecting the appropriate number of partitions a dataset should be split into. In this paper we consider what…

机器学习 · 统计学 2022-08-31 Marek Gagolewski , Maciej Bartoszuk , Anna Cena

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