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We propose a new approach for clustering DNA features using array CGH data from multiple tumor samples. We distinguish data-collapsing: joining contiguous DNA clones or probes with extremely similar data into regions, from clustering:…

Applications · Statistics 2010-12-21 Kyung In Kim , Etienne Roquain , Mark Van De Wiel

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

Methodology · Statistics 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

Statistics Theory · Mathematics 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

The clustering of data into physically meaningful subsets often requires assumptions regarding the number, size, or shape of the subgroups. Here, we present a new method, simultaneous coherent structure coloring (sCSC), which accomplishes…

Machine Learning · Statistics 2019-11-26 Brooke E. Husic , Kristy L. Schlueter-Kuck , John O. Dabiri

Biclustering is an unsupervised machine learning technique that simultaneously clusters rows and columns in a data matrix. Biclustering has emerged as an important approach and plays an essential role in various applications such as…

Machine Learning · Computer Science 2022-03-31 Adan Jose-Garcia , Julie Jacques , Vincent Sobanski , Clarisse Dhaenens

Massive volumes of high-dimensional data that evolves over time is continuously collected by contemporary information processing systems, which brings up the problem of organizing this data into clusters, i.e. achieve the purpose of…

Machine Learning · Computer Science 2019-10-22 Di Xu , Tianhang Long , Junbin Gao

Median clustering extends popular neural data analysis methods such as the self-organizing map or neural gas to general data structures given by a dissimilarity matrix only. This offers flexible and robust global data inspection methods…

Machine Learning · Computer Science 2009-09-04 Barbara Hammer , Alexander Hasenfuß , Fabrice Rossi

High-density DNA arrays, used to monitor gene expression at a genomic scale, have produced vast amounts of information which require the development of efficient computational methods to analyze them. The important first step is to extract…

Biological Physics · Physics 2009-10-31 G. Getz , E. Levine , E. Domany , M. Q. Zhang

Modern scientific studies often collect data sets in the forms of tensors, which call for innovative statistical analysis methods. In particular, there is a pressing need for tensor clustering methods to understand the heterogeneity in the…

Methodology · Statistics 2021-04-27 Qing Mai , Xin Zhang , Yuqing Pan , Kai Deng

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

Methodology · Statistics 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

Methodology · Statistics 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

Machine Learning · Computer Science 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

This paper presents a novel clustering algorithm from the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) algorithmic family. The newly proposed clustering variant leverages the concept of similarity and…

Machine Learning · Computer Science 2024-07-11 MZ Naser , Ahmed Naser

Gene expression is a complex phenomenon involving numerous interlinked variables, and studying these variables to control expression is essential in bioengineering and biomanufacturing. While cloning techniques for achieving plasmid…

Quantitative Methods · Quantitative Biology 2025-01-30 Khushank Singhal , Harry Adamson , Thomas Baer , Howard Salis , Melik Demirel

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

A major limitation of clustering approaches is their lack of explainability: methods rarely provide insight into which features drive the grouping of similar observations. To address this limitation, we propose an ensemble-based clustering…

Machine Learning · Statistics 2026-03-23 Federico Maria Quetti , Elena Ballante , Silvia Figini , Paolo Giudici

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

Quantitative Methods · Quantitative Biology 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

Deep shotgun sequencing and analysis of genomes, transcriptomes, amplified single-cell genomes, and metagenomes has enabled investigation of a wide range of organisms and ecosystems. However, sampling variation in short-read data sets and…

Genomics · Quantitative Biology 2012-05-22 C. Titus Brown , Adina Howe , Qingpeng Zhang , Alexis B. Pyrkosz , Timothy H. Brom

Clustering analysis is fundamental in single-cell RNA sequencing (scRNA-seq) data analysis for elucidating cellular heterogeneity and diversity. Recent graph-based scRNA-seq clustering methods, particularly graph neural networks (GNNs),…

Machine Learning · Computer Science 2025-07-15 Ping Xu , Pengfei Wang , Zhiyuan Ning , Meng Xiao , Min Wu , Yuanchun Zhou