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A major limitation of clustering approaches is their lack of explainability: methods rarely provide insight into which features drive the grouping of similar observations. To address this limitation, we propose an ensemble-based clustering…

机器学习 · 统计学 2026-03-23 Federico Maria Quetti , Elena Ballante , Silvia Figini , Paolo Giudici

The immense amount of time series data produced by astronomical surveys has called for the use of machine learning algorithms to discover and classify several million celestial sources. In the case of variable stars, supervised learning…

太阳与恒星天体物理 · 物理学 2022-10-12 R. Pantoja , M. Catelan , K. Pichara , P. Protopapas

The evaluation of clustering algorithms can involve running them on a variety of benchmark problems, and comparing their outputs to the reference, ground-truth groupings provided by experts. Unfortunately, many research papers and graduate…

机器学习 · 计算机科学 2023-10-27 Marek Gagolewski

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

机器学习 · 计算机科学 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

Hierarchical clustering is one of the most powerful solutions to the problem of clustering, on the grounds that it performs a multi scale organization of the data. In recent years, research on hierarchical clustering methods has attracted…

机器学习 · 计算机科学 2019-08-02 Antonia Korba

Cluster validity indexes are very important tools designed for two purposes: comparing the performance of clustering algorithms and determining the number of clusters that best fits the data. These indexes are in general constructed by…

机器学习 · 计算机科学 2018-12-24 Ahmed Ben Said , Rachid Hadjidj , Sebti Foufou

The focus of this paper is on the evaluation of sixteen labeling methods for hierarchical document clusters over five datasets. All of the methods are independent from clustering algorithms, applied subsequently to the dendrogram…

信息检索 · 计算机科学 2018-05-28 Maria Fernanda Moura , Fabiano Fernandes dos Santos , Solange Oliveira Rezende

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

统计力学 · 物理学 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Traditionally, clustering algorithms focus on partitioning the data into groups of similar instances. The similarity objective, however, is not sufficient in applications where a fair-representation of the groups in terms of protected…

机器学习 · 计算机科学 2021-11-08 Tai Le Quy , Arjun Roy , Gunnar Friege , Eirini Ntoutsi

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

数据分析、统计与概率 · 物理学 2017-10-16 Kevin McIlhany , Stephen Wiggins

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

As single-cell gene expression data analysis continues to grow, the need for reliable clustering methods has become increasingly important. The prevalence of heuristic means for method choice could lead to inaccurate reports if…

定量方法 · 定量生物学 2026-05-19 Owen Visser , Somnath Datta

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

The objective of clusterability evaluation is to check whether a clustering structure exists within the data set. As a crucial yet often-overlooked issue in cluster analysis, it is essential to conduct such a test before applying any…

机器学习 · 计算机科学 2025-01-07 Lianyu Hu , Junjie Dong , Mudi Jiang , Yan Liu , Zengyou He

A main task in data analysis is to organize data points into coherent groups or clusters. The stochastic block model is a probabilistic model for the cluster structure. This model prescribes different probabilities for the presence of edges…

机器学习 · 计算机科学 2020-09-24 Alexander Jung

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…

机器学习 · 计算机科学 2024-06-25 John Pavlopoulos , Georgios Vardakas , Aristidis Likas

A popular method for selecting the number of clusters is based on stability arguments: one chooses the number of clusters such that the corresponding clustering results are "most stable". In recent years, a series of papers has analyzed the…

机器学习 · 统计学 2010-07-08 Ulrike von Luxburg

Clustering evaluation measures are frequently used to evaluate the performance of algorithms. However, most measures are not properly normalized and ignore some information in the inherent structure of clusterings. We model the relation…

机器学习 · 计算机科学 2012-09-05 Qiaoliang Xiang , Qi Mao , Kian Ming Chai , Hai Leong Chieu , Ivor Tsang , Zhendong Zhao

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…

机器学习 · 计算机科学 2025-07-15 Xinying Liu , Lianyu Hu , Mudi Jiang , Simeng Zhang , Jun Lou , Zengyou He