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We introduce Lumbermark, a robust divisive clustering algorithm capable of detecting clusters of varying sizes, densities, and shapes. Lumbermark iteratively chops off large limbs connected by protruding segments of a dataset's mutual…

Machine Learning · Computer Science 2026-04-09 Marek Gagolewski

Identification of clusters of co-expressed genes in transcriptomic data is a difficult task. Most algorithms used for this purpose can be classified into two broad categories: distance-based or model-based approaches. Distance-based…

Applications · Statistics 2022-09-26 Gabriel Lozano , Nadia Atallah , Michael Levine

Clustering algorithms became an essential part of the neurophysiological data analysis toolbox in the last twenty five years. Many problems, from the definition of cell types/groups based on morphological, molecular and physiological data…

Applications · Statistics 2025-09-23 Louise Martineau , Christophe Pouzat , Ségolen Geffray

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

Machine Learning · Computer Science 2019-01-30 Nicolas Tremblay , Andreas Loukas

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

Machine Learning · Computer Science 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

This paper describes a process for clustering concepts into chains from data presented randomly to an evaluating system. There are a number of rules or guidelines that help the system to determine more accurately what concepts belong to a…

Artificial Intelligence · Computer Science 2014-03-05 Kieran Greer

For a genomically unstable cancer, a single tumour biopsy will often contain a mixture of competing tumour clones. These tumour clones frequently differ with respect to their genomic content (copy number of each gene) and structure (order…

Genomics · Quantitative Biology 2015-04-28 Andrew McPherson , Andrew Roth , Gavin Ha , Sohrab P. Shah , Cedric Chauve , S. Cenk Sahinalp

Revealing relationships between genes and disease phenotypes is a critical problem in biomedical studies. This problem has been challenged by the heterogeneity of diseases. Patients of a perceived same disease may form multiple subgroups,…

Methodology · Statistics 2022-11-30 Yifan Sun , Ziye Luo , Xinyan Fan

Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Machine Learning · Computer Science 2025-11-13 Andrew Draganov , Pascal Weber , Rasmus Skibdahl Melanchton Jørgensen , Anna Beer , Claudia Plant , Ira Assent

We compare the performance of different clustering algorithms applied to the task of unsupervised text categorization. We consider agglomerative clustering algorithms, principal direction divisive partitioning and (for the first time)…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Volk , M. G. Stepanov

We address the problem of data clustering by introducing an unsupervised, parameter free approach based on maximum likelihood principle. Starting from the observation that data sets belonging to the same cluster share a common information,…

Statistical Mechanics · Physics 2009-11-07 Lorenzo Giada , Matteo Marsili

Clustering plays a crucial role in computer science, facilitating data analysis and problem-solving across numerous fields. By partitioning large datasets into meaningful groups, clustering reveals hidden structures and relationships within…

Databases · Computer Science 2026-02-19 Aryan Esmailpour , Stavros Sintos

The time complexity of data clustering has been viewed as fundamentally quadratic, slowing with the number of data items, as each item is compared for similarity to preceding items. Clustering of large data sets has been infeasible without…

Data Structures and Algorithms · Computer Science 2017-02-28 Jonathan A. Marshall , Lawrence C. Rafsky

In this paper we consider the clustering coefficient and clustering function in a random graph model proposed by Krioukov et al.~in 2010. In this model, nodes are chosen randomly inside a disk in the hyperbolic plane and two nodes are…

Probability · Mathematics 2020-12-18 Nikolaos Fountoulakis , Pim van der Hoorn , Tobias Müller , Markus Schepers

In this paper, we describe a dataset relating to cellular and physical conditions of patients who are operated upon to remove colorectal tumours. This data provides a unique insight into immunological status at the point of tumour removal,…

Machine Learning · Computer Science 2013-07-08 Chris Roadknight , Uwe Aickelin , Alex Ladas , Daniele Soria , John Scholefield , Lindy Durrant

In this work, we propose a clustering technique based on information rates for cell-free massive multiple-input multiple-output (MIMO) networks. Unlike existing clustering approaches that rely on the large scale fading coefficients of the…

Information Theory · Computer Science 2024-04-30 S. Mashdour , R. C. de Lamare

We outline a novel clustering scheme for simplicial complexes that produces clusters of simplices in a way that is sensitive to the homology of the complex. The method is inspired by, and can be seen as a higher-dimensional version of,…

Machine Learning · Computer Science 2020-06-23 Stefania Ebli , Gard Spreemann

Clustering has become an increasingly important task in analysing huge amounts of data. Traditional applications require that all data has to be located at the site where it is scrutinized. Nowadays, large amounts of heterogeneous, complex…

Databases · Computer Science 2014-09-24 Eshref Januzaj , Hans-Peter Kriegel , Martin Pfeifle

Comparison of three kind of the clustering and find cost function and loss function and calculate them. Error rate of the clustering methods and how to calculate the error percentage always be one on the important factor for evaluating the…

Machine Learning · Computer Science 2014-11-14 Kamran Kowsari

The main statistical distributions applicable to the analysis of genome architecture and genome tracks are briefly discussed and critically assessed. Although the observed features in distributions of element lengths can be equally well…

Other Quantitative Biology · Quantitative Biology 2015-06-17 V. R. Chechetkin
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