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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…

Methodology · Statistics 2026-05-21 Soumita Modak

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. For most applications, applying clustering is only appropriate when cluster structure is present. As such, the study of clusterability,…

Machine Learning · Statistics 2018-10-30 A. Adolfsson , M. Ackerman , N. C. Brownstein

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…

Machine Learning · Computer Science 2021-01-06 Shuyue Guan , Murray Loew

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…

Methodology · Statistics 2019-06-04 Anri Mutoh , Masamichi Wada , Kou Amano

Whether class labels in a given data set correspond to meaningful clusters is crucial for the evaluation of clustering algorithms using real-world data sets. This property can be quantified by separability measures. The central aspects of…

Machine Learning · Statistics 2025-04-11 Jana Gauss , Fabian Scheipl , Moritz Herrmann

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

Cluster analysis is used to explore structure in unlabeled data sets in a wide range of applications. An important part of cluster analysis is validating the quality of computationally obtained clusters. A large number of different internal…

Machine Learning · Statistics 2018-01-10 Masud Moshtaghi , James C. Bezdek , Sarah M. Erfani , Christopher Leckie , James Bailey

The optimal number of clusters is one of the main concerns when applying cluster analysis. Several cluster validity indexes have been introduced to address this problem. However, in some situations, there is more than one option that can be…

Machine Learning · Statistics 2025-12-24 Nathakhun Wiroonsri , Onthada Preedasawakul

Cluster analysis refers to a wide range of data analytic techniques for class discovery and is popular in many application fields. To judge the quality of a clustering result, different cluster validation procedures have been proposed in…

Methodology · Statistics 2022-01-11 Theresa Ullmann , Christian Hennig , Anne-Laure Boulesteix

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

With the inclusion of smart meters, electricity load consumption data can be fetched for individual consumer buildings at high temporal resolutions. Availability of such data has made it possible to study daily load demand profiles of the…

Computers and Society · Computer Science 2021-08-04 Mayank Jain , Mukta Jain , Tarek AlSkaif , Soumyabrata Dev

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…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Deep clustering, a method for partitioning complex, high-dimensional data using deep neural networks, presents unique evaluation challenges. Traditional clustering validation measures, designed for low-dimensional spaces, are problematic…

Machine Learning · Statistics 2024-03-25 Zeya Wang , Chenglong Ye

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…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

In some complicated datasets, due to the presence of noisy data points and outliers, cluster validity indices can give conflicting results in determining the optimal number of clusters. This paper presents a new validity index for…

Machine Learning · Computer Science 2020-05-20 Mohammad Hossein Fazel Zarandi , Shahabeddin Sotudian , Oscar Castillo

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.…

Machine Learning · Computer Science 2024-06-18 Gangli Liu

Background. Clustering analysis discovers hidden structures in a data set by partitioning them into disjoint clusters. Robust accuracy measures that evaluate the goodness of clustering results are critical for algorithm development and…

Machine Learning · Computer Science 2021-09-06 Navid Ahmadinejad , Li Liu

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani