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Identifying possible clusters in datasets and estimating their overall modularity are central tasks in pattern recognition. In the present work, concepts and methodologies are described for performing these tasks while considering only the…

Physics and Society · Physics 2026-05-27 Alexandre Benatti , Luciano da F. Costa

Comparison-based learning addresses the problem of learning when, instead of explicit features or pairwise similarities, one only has access to comparisons of the form: \emph{Object $A$ is more similar to $B$ than to $C$.} Recently, it has…

Machine Learning · Computer Science 2023-04-04 Aishik Mandal , Michaël Perrot , Debarghya Ghoshdastidar

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Clustering is a well-known and studied problem, one of its variants, called contiguity-constrained clustering, accepts as a second input a graph used to encode prior information about cluster structure by means of contiguity constraints…

Computation · Statistics 2023-02-27 Etienne Côme

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

Bagging and boosting are proved to be the best methods of building multiple classifiers in classification combination problems. In the area of "flat clustering" problems, it is also recognized that multi-clustering methods based on boosting…

Machine Learning · Computer Science 2018-05-31 Elaheh Rashedi , Abdolreza Mirzaei

Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

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…

Information Retrieval · Computer Science 2018-05-28 Maria Fernanda Moura , Fabiano Fernandes dos Santos , Solange Oliveira Rezende

We uncover that current objective-based Divisive Hierarchical Clustering (DHC) methods produce a dendrogram that does not have three desired properties i.e., no unwarranted splitting, group similar clusters into a same subset, ground-truth…

Machine Learning · Computer Science 2026-01-28 Kaifeng Zhang , Kai Ming Ting , Tianrun Liang , Qiuran Zhao

We propose a nearest neighbor based clustering algorithm that results in a naturally defined hierarchy of clusters. In contrast to the agglomerative and divisive hierarchical clustering algorithms, our approach is not dependent on the…

Data Structures and Algorithms · Computer Science 2022-03-16 Kaan Gokcesu , Hakan Gokcesu

We study hierarchical clusterings of metric spaces that change over time. This is a natural geometric primitive for the analysis of dynamic data sets. Specifically, we introduce and study the problem of finding a temporally coherent…

Data Structures and Algorithms · Computer Science 2017-10-23 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

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

Hierarchical clustering seeks to uncover nested structures in data by constructing a tree of clusters, where deeper levels reveal finer-grained relationships. Traditional methods, including linkage approaches, face three major limitations:…

Machine Learning · Computer Science 2025-11-25 Maximilien Dreveton , Matthias Grossglauser , Daichi Kuroda , Patrick Thiran

This paper studies the hierarchical clustering problem, where the goal is to produce a dendrogram that represents clusters at varying scales of a data set. We propose the ParChain framework for designing parallel hierarchical agglomerative…

Data Structures and Algorithms · Computer Science 2022-02-15 Shangdi Yu , Yiqiu Wang , Yan Gu , Laxman Dhulipala , Julian Shun

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

Computational Geometry · Computer Science 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

We consider the classic correlation clustering problem in the hierarchical setting. Given a complete graph $G=(V,E)$ and $\ell$ layers of input information, where the input of each layer consists of a nonnegative weight and a labeling of…

Data Structures and Algorithms · Computer Science 2025-04-10 Hyung-Chan An , Mong-Jen Kao , Changyeol Lee , Mu-Ting Lee

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

Machine Learning · Computer Science 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

We propose a hierarchical correlation clustering method that extends the well-known correlation clustering to produce hierarchical clusters applicable to both positive and negative pairwise dissimilarities. Then, in the following, we study…

Machine Learning · Computer Science 2025-02-04 Morteza Haghir Chehreghani , Mostafa Haghir Chehreghani