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We propose methods for the analysis of hierarchical clustering that fully use the multi-resolution structure provided by a dendrogram. Specifically, we propose a loss for choosing between clustering methods, a feature importance score and a…

Methodology · Statistics 2023-01-31 Luben M. C. Cabezas , Rafael Izbicki , Rafael B. Stern

Hierarchical graph clustering is a common technique to reveal the multi-scale structure of complex networks. We propose a novel metric for assessing the quality of a hierarchical clustering. This metric reflects the ability to reconstruct…

Social and Information Networks · Computer Science 2018-07-16 Thomas Bonald , Bertrand Charpentier

One of the main challenges for hierarchical clustering is how to appropriately identify the representative points in the lower level of the cluster tree, which are going to be utilized as the roots in the higher level of the cluster tree…

Machine Learning · Statistics 2021-11-16 Wen-Bo Xie , Zhen Liu , Jaideep Srivastava

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. This process often includes visualization of the data, either as a way…

Applications · Statistics 2026-04-06 Justin Lin , Julia Fukuyama

Hierarchical clustering is a class of algorithms that seeks to build a hierarchy of clusters. It has been the dominant approach to constructing embedded classification schemes since it outputs dendrograms, which capture the hierarchical…

Machine Learning · Statistics 2018-08-28 Xiaofei Ma , Satya Dhavala

Hierarchical clustering is a common algorithm in data analysis. It is unique among many clustering algorithms in that it draws dendrograms based on the distance of data under a certain metric, and group them. It is widely used in all areas…

Instrumentation and Methods for Astrophysics · Physics 2022-11-14 Heng Yu , Xiaolan Hou

Hierarchical clustering is an important technique to organize big data for exploratory data analysis. However, existing one-size-fits-all hierarchical clustering methods often fail to meet the diverse needs of different users. To address…

Machine Learning · Computer Science 2020-09-22 Weikai Yang , Xiting Wang , Jie Lu , Wenwen Dou , Shixia Liu

Agglomerative hierarchical clustering is one of the most widely used approaches for exploring how observations in a dataset relate to each other. However, its greedy nature makes it highly sensitive to small perturbations in the data, often…

Methodology · Statistics 2026-03-17 Di Wu , Jacob Bien , Snigdha Panigrahi

"mdendro" is an R package that provides a comprehensive collection of linkage methods for agglomerative hierarchical clustering on a matrix of proximity data (distances or similarities), returning a multifurcated dendrogram or…

Information Retrieval · Computer Science 2025-09-16 Alberto Fernández , Sergio Gómez

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

growclusters for R is a package that estimates a partition structure for multivariate data. It does this by implementing a hierarchical version of k-means clustering that accounts for possible known dependencies in a collection of datasets,…

Mathematical Software · Computer Science 2024-05-01 Randall Powers , Wendy Martinez , Terrance Savitsky

We present a new way to summarize and select mixture models via the hierarchical clustering tree (dendrogram) constructed from an overfitted latent mixing measure. Our proposed method bridges agglomerative hierarchical clustering and…

Methodology · Statistics 2024-03-11 Dat Do , Linh Do , Scott A. McKinley , Jonathan Terhorst , XuanLong Nguyen

Hierarchical clustering is a popular method for identifying distinct groups in a dataset. The most commonly used method for pruning a dendrogram is via a single horizontal cut. In this paper, we propose a new technique "weakest link optimal…

Methodology · Statistics 2023-01-20 Jiacheng Ge , Robert Tibshirani

The level set tree approach of Hartigan (1975) provides a probabilistically based and highly interpretable encoding of the clustering behavior of a dataset. By representing the hierarchy of data modes as a dendrogram of the level sets of a…

Methodology · Statistics 2013-08-01 Brian P. Kent , Alessandro Rinaldo , Timothy Verstynen

Previously, we proposed a physically-inspired method to construct data points into an effective in-tree (IT) structure, in which the underlying cluster structure in the dataset is well revealed. Although there are some edges in the IT…

Machine Learning · Statistics 2015-07-30 Teng Qiu , Yongjie Li

We show that specific higher dimensional shape information of point cloud data can be recovered by observing lower dimensional hierarchical clustering dynamics. We generate multiple point samples from point clouds and perform hierarchical…

Computational Geometry · Computer Science 2020-10-09 Paul Samuel P. Ignacio

We describe a new visualization tool, dubbed HCMapper, that visually helps to compare a pair of dendrograms computed on the same dataset by displaying multiscale partition-based layered structures. The dendrograms are obtained by…

Human-Computer Interaction · Computer Science 2016-02-23 Gautier Marti , Philippe Donnat , Frank Nielsen , Philippe Very

When some 'entities' are related by the 'features' they share they are amenable to a bipartite network representation. Plant-pollinator ecological communities, co-authorship of scientific papers, customers and purchases, or answers in a…

Social and Information Networks · Computer Science 2020-10-14 Ignacio Tamarit , María Pereda , José A. Cuesta

While clustering is one of the most popular methods for data mining, analysts lack adequate tools for quick, iterative clustering analysis, which is essential for hypothesis generation and data reasoning. We introduce Clustrophile, an…

Human-Computer Interaction · Computer Science 2017-10-09 Çağatay Demiralp

Partial orders and directed acyclic graphs are commonly recurring data structures that arise naturally in numerous domains and applications and are used to represent ordered relations between entities in the domains. Examples are task…

Machine Learning · Computer Science 2021-12-21 Daniel Bakkelund
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