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In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure. We recommend a simple variant of the standard algorithm, in which clusters are merged by…

Machine Learning · Statistics 2024-03-04 Annie Gray , Alexander Modell , Patrick Rubin-Delanchy , Nick Whiteley

Clustering is a fundamental machine learning task which has been widely studied in the literature. Classic clustering methods follow the assumption that data are represented as features in a vectorized form through various representation…

Machine Learning · Computer Science 2022-06-16 Sheng Zhou , Hongjia Xu , Zhuonan Zheng , Jiawei Chen , Zhao li , Jiajun Bu , Jia Wu , Xin Wang , Wenwu Zhu , Martin Ester

Hierarchical clustering is a fundamental task often used to discover meaningful structures in data, such as phylogenetic trees, taxonomies of concepts, subtypes of cancer, and cascades of particle decays in particle physics. Typically…

Data Structures and Algorithms · Computer Science 2020-10-23 Craig S. Greenberg , Sebastian Macaluso , Nicholas Monath , Ji-Ah Lee , Patrick Flaherty , Kyle Cranmer , Andrew McGregor , Andrew McCallum

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

Genomics · Quantitative Biology 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange

As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

Cluster analysis plays an important role in decision making process for many knowledge-based systems. There exist a wide variety of different approaches for clustering applications including the heuristic techniques, probabilistic models,…

Artificial Intelligence · Computer Science 2017-03-09 Kayvan Bijari , Hadi Zare , Hadi Veisi , Hossein Bobarshad

Hierarchical clustering (HC) is an important data analysis technique in which the goal is to recursively partition a dataset into a tree-like structure while grouping together similar data points at each level of granularity. Unfortunately,…

Data Structures and Algorithms · Computer Science 2025-06-09 Vladimir Braverman , Jon C. Ergun , Chen Wang , Samson Zhou

We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

Machine Learning · Statistics 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

Process discovery algorithms automatically extract process models from event logs, but high variability often results in complex and hard-to-understand models. To mitigate this issue, trace clustering techniques group process executions…

Machine Learning · Computer Science 2025-12-11 Jari Peeperkorn , Johannes De Smedt , Jochen De Weerdt

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

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

Methodology · Statistics 2022-01-19 Luca Insolia , Domenico Perrotta

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

Learning from electronic medical records (EMR) is challenging due to their relational nature and the uncertain dependence between a patient's past and future health status. Statistical relational learning is a natural fit for analyzing EMRs…

Machine Learning · Computer Science 2012-07-03 Jesse Davis , Vitor Santos Costa , Peggy Peissig , Michael Caldwell , Elizabeth Berg , David Page

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

Methodology · Statistics 2017-02-10 Wei Fu , Patrick O. Perry

A probabilistic clustering algorithm is proposed for the analysis of forensic DNA mixtures in which individual cells are isolated and short tandem repeats are amplified using the polymerase chain reaction to generate single cell…

Applications · Statistics 2025-10-14 Robert G. Cowell

This paper introduces a new unsupervised method for the clustering of physiological data into health states based on their similarity. We propose an iterative hierarchical clustering approach that combines health states according to a…

Signal Processing · Electrical Eng. & Systems 2018-03-28 Fabian Schrumpf , Gerold Bausch , Matthias Sturm , Mirco Fuchs

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

The EM algorithm is one of many important tools in the field of statistics. While often used for imputing missing data, its widespread applications include other common statistical tasks, such as clustering. In clustering, the EM algorithm…

Machine Learning · Statistics 2017-11-22 Val Andrei Fajardo , Jiaxi Liang

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

Computation · Statistics 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas
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