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Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

Selecting the number of communities is a fundamental challenge in network clustering. The silhouette score offers an intuitive, model-free criterion that balances within-cluster cohesion and between-cluster separation. Albeit its widespread…

Social and Information Networks · Computer Science 2026-01-01 Zongyue Teng , Jun Yan , Dandan Liu , Panpan Zhang

Cognitive diagnosis models have been popularly used in fields such as education, psychology, and social sciences. While parametric likelihood estimation is a prevailing method for fitting cognitive diagnosis models, nonparametric…

Statistics Theory · Mathematics 2025-10-01 Chengyu Cui , Yanlong Liu , Gongjun Xu

Note: A revised version of this is now published. Please cite and read (it's open access): Van Mechelen, I., Boulesteix, A.-L., Dangl, R., Dean, N., Hennig, C., Leisch, F., Steinley, D., Warrens, M. J. (2023). A white paper on good research…

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

Machine Learning · Computer Science 2022-08-30 Miao Cheng , Xinge You

Silhouette coefficient is an established internal clustering evaluation measure that produces a score per data point, assessing the quality of its clustering assignment. To assess the quality of the clustering of the whole dataset, the…

Machine Learning · Computer Science 2024-06-25 John Pavlopoulos , Georgios Vardakas , Aristidis Likas

Big Data processing systems handle huge unstructured and structured data to store, process, and analyze through cluster analysis which helps in identifying unseen patterns to find the relationships between them. Clustering analysis over the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-11 Dipesh Gyawali

Ensemble clustering has demonstrated great success in practice; however, its theoretical foundations remain underexplored. This paper examines the generalization performance of ensemble clustering, focusing on generalization error, excess…

Machine Learning · Computer Science 2025-06-04 Xu Zhang , Haoye Qiu , Weixuan Liang , Hui Liu , Junhui Hou , Yuheng Jia

The increasing needs of clustering massive datasets and the high cost of running clustering algorithms poses difficult problems for users. In this context it is important to determine if a data set is clusterable, that is, it may be…

Machine Learning · Computer Science 2020-01-08 Dan Simovici , Kaixun Hua

Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

Machine Learning · Computer Science 2024-07-30 Ryosuke Motegi , Yoichi Seki

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

Machine Learning · Statistics 2015-12-01 Eric F. Lock , David B. Dunson

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

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…

Machine Learning · Computer Science 2022-10-18 Soumita Modak

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

Methodology · Statistics 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

Despite tremendous advancements in Artificial Intelligence, learning from large sets of data in an unsupervised manner remains a significant challenge. Classical clustering algorithms often fail to discover complex dependencies in large…

Machine Learning · Computer Science 2023-07-18 Adam Piróg , Halina Kwaśnicka

In this paper, we consider the problem of finding the feature correspondences among a collection of feature sets, by using their point-wise unary features. This is a fundamental problem in computer vision and pattern recognition, which also…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Junchi Yan , Zhe Ren , Hongyuan Zha , Stephen Chu

We address the classical problem of hierarchical clustering, but in a framework where one does not have access to a representation of the objects or their pairwise similarities. Instead, we assume that only a set of comparisons between…

Machine Learning · Statistics 2019-06-13 Debarghya Ghoshdastidar , Michaël Perrot , Ulrike von Luxburg

A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

Machine Learning · Computer Science 2015-03-03 Miguel Á. Carreira-Perpiñán

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

Methodology · Statistics 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim

Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

Methodology · Statistics 2025-09-15 Bettina Grün