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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…

In this work, we introduce a novel methodology for divisive hierarchical clustering. Our divisive (``top-down'') approach is motivated by the fact that agglomerative hierarchical clustering (``bottom-up''), which is commonly used for…

Methodology · Statistics 2025-10-07 Jan O. Bauer

Clustering of mixed-type datasets can be a particularly challenging task as it requires taking into account the associations between variables with different level of measurement, i.e., nominal, ordinal and/or interval. In some cases,…

Methodology · Statistics 2022-04-22 Odysseas Moschidis , Angelos Markos , Theodore Chadjipadelis

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Cluster analysis has proved to be an invaluable tool for the exploratory and unsupervised analysis of high dimensional datasets. Among methods for clustering, hierarchical approaches have enjoyed substantial popularity in genomics and other…

Methodology · Statistics 2014-11-20 Patrick K. Kimes , Yufeng Liu , D. Neil Hayes , J. S. Marron

Group tendency is a research branch of computer assisted learning. The construction of good learning behavior is of great significance to learners' learning process and learning effect, and is the key basis of data-driven education…

Machine Learning · Computer Science 2020-10-09 Xiaona Xia

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

Document clustering is an unsupervised approach in which a large collection of documents (corpus) is subdivided into smaller, meaningful, identifiable, and verifiable sub-groups (clusters). Meaningful representation of documents and…

Information Retrieval · Computer Science 2014-12-08 Muhammad Rafi , Farnaz Amin , Mohammad Shahid Shaikh

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

Information Retrieval · Computer Science 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

We herein introduce a new method of interpretable clustering that uses unsupervised binary trees. It is a three-stage procedure, the first stage of which entails a series of recursive binary splits to reduce the heterogeneity of the data…

Methodology · Statistics 2023-12-29 Ricardo Fraiman , Badih Ghattas , Marcela Svarc

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Data exploration and visualization systems are of great importance in the Big Data era, in which the volume and heterogeneity of available information make it difficult for humans to manually explore and analyse data. Most traditional…

Human-Computer Interaction · Computer Science 2016-02-22 Nikos Bikakis , George Papastefanatos , Melina Skourla , Timos Sellis

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

Traditional clustering methods aim to group unlabeled data points based on their similarity to each other. However, clustering, in the absence of additional information, is an ill-posed problem as there may be many different, yet equally…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Bingchen Zhao , Oisin Mac Aodha

There are many clustering methods, such as hierarchical clustering method. Most of the approaches to the clustering of variables encountered in the literature are of hierarchical type. The great majority of hierarchical approaches to the…

Databases · Computer Science 2011-01-25 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

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

Visual grouping is a key mechanism in human scene perception. There, it belongs to the subconscious, early processing and is key prerequisite for other high level tasks such as recognition. In this paper, we introduce an efficient, realtime…

Computer Vision and Pattern Recognition · Computer Science 2016-09-23 Dominik Alexander Klein , Dirk Schulz , Armin Bernd Cremers

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

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

Information Theory · Computer Science 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak