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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

A vast number of different methods are available for unsupervised classification. Since no algorithm and parameter setting performs best in all types of data, there is a need for cluster validation to select the actually best-performing…

机器学习 · 计算机科学 2023-08-09 Zoltán Botta-Dukát

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

机器学习 · 统计学 2024-01-09 Nathakhun Wiroonsri

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

统计方法学 · 统计学 2017-02-10 Wei Fu , Patrick O. Perry

Validation plays a crucial role in the clustering process. Many different internal validity indexes exist for the purpose of determining the best clustering solution(s) from a given collection of candidates, e.g., as produced by different…

机器学习 · 统计学 2026-02-23 Connor Simpson , Ricardo J. G. B. Campello , Elizabeth Stojanovski

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

统计方法学 · 统计学 2020-06-24 Serhat Emre Akhanli , Christian Hennig

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

机器学习 · 计算机科学 2024-09-05 Anupriya Vysala , Joseph Gomes

A new index for internal evaluation of clustering is introduced. The index is defined as a mixture of two sub-indices. The first sub-index $ I_a $ is called the Ambiguous Index; the second sub-index $ I_s $ is called the Similarity Index.…

机器学习 · 计算机科学 2024-06-18 Gangli Liu

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

This paper proposes a novel, nonparametric, interpoint distance-based measure to investigate whether there exist any groups in a set of given data, and if so then, how many groups are prevailing in total. It is a cluster accuracy index…

统计方法学 · 统计学 2026-05-21 Soumita Modak

Existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Inspired by adaptive process…

机器学习 · 计算机科学 2023-03-03 Shuyin Xia , Jiang Xie , Guoyin Wang

A new interpoint distance-based measure is proposed to identify the optimal number of clusters present in a data set. Designed in nonparametric approach, it is independent of the distribution of given data. Interpoint distances between the…

机器学习 · 计算机科学 2022-10-18 Soumita Modak

Selecting the appropriate number of clusters is a critical step in applying clustering algorithms. To assist in this process, various cluster validity indices (CVIs) have been developed. These indices are designed to identify the optimal…

机器学习 · 统计学 2025-12-24 Nathakhun Wiroonsri , Onthada Preedasawakul

Nonhierarchical clustering depending on unsupervised algorithms may not retrieve the optimal partition of datasets. Determining if clusters fit ``natural partitions`` can be achieved using cluster validity indices (CVIs). Most existing CVIs…

统计方法学 · 统计学 2019-06-04 Anri Mutoh , Masamichi Wada , Kou Amano

Application of K-Means algorithm is restricted by the fact that the number of clusters should be known beforehand. Previously suggested methods to solve this problem are either ad hoc or require parametric assumptions and complicated…

机器学习 · 计算机科学 2019-12-05 Sukavanan Nanjundan , Shreeviknesh Sankaran , C. R. Arjun , G. Paavai Anand

To evaluate clustering results is a significant part of cluster analysis. There are no true class labels for clustering in typical unsupervised learning. Thus, a number of internal evaluations, which use predicted labels and data, have been…

机器学习 · 计算机科学 2021-01-06 Shuyue Guan , Murray Loew

Clustering provides a common means of identifying structure in complex data, and there is renewed interest in clustering as a tool for the analysis of large data sets in many fields. A natural question is how many clusters are appropriate…

数据分析、统计与概率 · 物理学 2007-05-23 Susanne Still , William Bialek

To evaluate clustering results is a significant part of cluster analysis. Since there are no true class labels for clustering in typical unsupervised learning, many internal cluster validity indices (CVIs), which use predicted labels and…

机器学习 · 计算机科学 2021-06-21 Shuyue Guan , Murray Loew

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

机器学习 · 统计学 2023-08-14 Luca Coraggio , Pietro Coretto

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

机器学习 · 计算机科学 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro
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