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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

Clustering is a well-established technique in machine learning and data analysis, widely used across various domains. Cluster validity indices, such as the Average Silhouette Width, Calinski-Harabasz, and Davies-Bouldin indices, play a…

Machine Learning · Computer Science 2026-04-16 Renato Cordeiro de Amorim , Vladimir Makarenkov

The validation of biclustering algorithms remains a challenging task, even though a number of measures have been proposed for evaluating the quality of these algorithms. Although no criterion is universally accepted as the overall best, a…

Machine Learning · Computer Science 2017-04-21 Henry Rosales-Méndez , Yunior Ramírez-Cruz

An automatic procedure to perform sub-clustering on large samples is presented. At each iteration, the most diverse cluster is sub-clustered, and the global diversity of the new classification is compared to the previous one. The process…

Instrumentation and Methods for Astrophysics · Physics 2025-05-15 Hugo Chambon , Didier Fraix-Burnet

This paper presents a method to compute the degree of similarity between two aggregated fuzzy numbers from intervals using the Interval Agreement Approach (IAA). The similarity measure proposed within this study contains several features…

Artificial Intelligence · Computer Science 2020-12-08 Justin Kane Gunn , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

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

This paper develops procedures to combine clusters for the approximate randomization test proposed by Canay, Romano, and Shaikh (2017). Their test can be used to conduct inference with a small number of clusters and imposes weak…

Econometrics · Economics 2025-02-07 Chun Pong Lau

Recently, sparse subspace clustering has been a valid tool to deal with high-dimensional data. There are two essential steps in the framework of sparse subspace clustering. One is solving the coefficient matrix of data, and the other is…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Wen-Jin Fu , Xiao-Jun Wu , He-Feng Yin , Wen-Bo Hu

Due to its ability to combine multiple base clusterings into a probably better and more robust clustering, the ensemble clustering technique has been attracting increasing attention in recent years. Despite the significant success, one…

Machine Learning · Computer Science 2020-01-01 Dong Huang , Chang-Dong Wang , Jian-Huang Lai

Clustering techniques are often validated using benchmark datasets where class labels are used as ground-truth clusters. However, depending on the datasets, class labels may not align with the actual data clusters, and such misalignment…

Machine Learning · Computer Science 2025-03-04 Hyeon Jeon , Michaël Aupetit , DongHwa Shin , Aeri Cho , Seokhyeon Park , Jinwook Seo

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…

Methodology · Statistics 2017-02-10 Wei Fu , Patrick O. Perry

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…

Machine Learning · Computer Science 2022-11-09 Lianyu Hu , Mudi Jiang , Yan Liu , Zengyou He

The software for clustering students according to their educational achievements using fuzzy logic was developed in Python using the Google Colab cloud service. In the process of analyzing educational data, the problems of Data Mining are…

Computers and Society · Computer Science 2023-12-19 Serhiy Balovsyak , Oleksandr Derevyanchuk , Hanna Kravchenko , Yuriy Ushenko , Zhengbing Hu

We address the lack of reliability in benchmarking clustering techniques based on labeled datasets. A standard scheme in external clustering validation is to use class labels as ground truth clusters, based on the assumption that each class…

Machine Learning · Computer Science 2022-09-22 Hyeon Jeon , Michael Aupetit , DongHwa Shin , Aeri Cho , Seokhyeon Park , Jinwook Seo

Cluster analysis is a fundamental research issue in statistics and machine learning. In many modern clustering methods, we need to determine whether two subsets of samples come from the same cluster. Since these subsets are usually…

Machine Learning · Computer Science 2025-07-15 Xinying Liu , Lianyu Hu , Mudi Jiang , Simeng Zhang , Jun Lou , Zengyou He

We analyse a catalogue of simulated clusters within the theoretical framework of the Spherical Collapse Model (SCM), and demonstrate that the relation between the infall velocity of member galaxies and the cluster matter overdensity can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Guido Cupani , Marino Mezzetti , Fabio Mardirossian

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

Computational Geometry · Computer Science 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

The conventional clustering algorithms mine static databases and generate a set of patterns in the form of clusters. Many real life databases keep growing incrementally. For such dynamic databases, the patterns extracted from the original…

Databases · Computer Science 2013-10-28 A. M. Sowjanya , M. Shashi

Clustering algorithms are an essential part of the unsupervised data science ecosystem, and extrinsic evaluation of clustering algorithms requires a method for comparing the detected clustering to a ground truth clustering. In a general…

Machine Learning · Computer Science 2026-03-23 Ryan DeWolfe , Paweł Prałat , François Théberge

Factorial k-means (FKM) clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that the partition of objects and the low-dimensional subspace reflecting the cluster structure are…

Statistics Theory · Mathematics 2014-02-14 Yoshikazu Terada