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Clustering methods have led to a number of important discoveries in bioinformatics and beyond. A major challenge in their use is determining which clusters represent important underlying structure, as opposed to spurious sampling artifacts.…

Methodology · Statistics 2021-10-20 Hanwen Huang , Yufeng Liu , Ming Yuan , J. S. Marron

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Subspace clustering refers to the problem of segmenting data drawn from a union of subspaces. State-of-the-art approaches for solving this problem follow a two-stage approach. In the first step, an affinity matrix is learned from the data…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Chun-Guang Li , Chong You , René Vidal

We consider the problem of clustering a set of high-dimensional data points into sets of low-dimensional linear subspaces. The number of subspaces, their dimensions, and their orientations are unknown. We propose a simple and low-complexity…

Information Theory · Computer Science 2013-03-18 Reinhard Heckel , Helmut Bölcskei

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Deep learning technology has enabled successful modeling of complex facial features when high quality images are available. Nonetheless, accurate modeling and recognition of human faces in real world scenarios `on the wild' or under adverse…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 S. W. Arachchilage , E. Izquierdo

Clustering is a fundamental data mining tool that aims to divide data into groups of similar items. Generally, intuition about clustering reflects the ideal case -- exact data sets endowed with flawless dissimilarity between individual…

Machine Learning · Computer Science 2016-01-25 Margareta Ackerman , Jarrod Moore

Multi-view data is ever more apparent as methods for production, collection and storage of data become more feasible both practically and fiscally. However, not all features are relevant to describe the patterns for all individuals.…

Methodology · Statistics 2026-03-13 Ella S. C. Orme , Theodoulos Rodosthenous , Marina Evangelou

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

Methodology · Statistics 2012-12-06 XuanLong Nguyen

Time series clustering is the process of grouping time series with respect to their similarity or characteristics. Previous approaches usually combine a specific distance measure for time series and a standard clustering method. However,…

Cluster analysis is an unsupervised learning strategy that can be employed to identify subgroups of observations in data sets of unknown structure. This strategy is particularly useful for analyzing high-dimensional data such as microarray…

Methodology · Statistics 2016-10-07 Erika S. Helgeson , Eric Bair

We describe the applications of clustering and visualization tools using the so-called neutral B anomalies as an example. Clustering permits parameter space partitioning into regions that can be separated with some given measurements. It…

Data Analysis, Statistics and Probability · Physics 2023-04-04 Ursula Laa , German Valencia

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

Machine Learning · Statistics 2015-12-01 Eric F. Lock , David B. Dunson

Identification of disease subtypes and corresponding biomarkers can substantially improve clinical diagnosis and treatment selection. Discovering these subtypes in noisy, high dimensional biomedical data is often impossible for humans and…

Quantitative Methods · Quantitative Biology 2020-05-18 Marc-Andre Schulz , Matt Chapman-Rounds , Manisha Verma , Danilo Bzdok , Konstantinos Georgatzis

Patchwork learning arises as a new and challenging data collection paradigm where both samples and features are observed in fragmented subsets. Due to technological limits, measurement expense, or multimodal data integration, such patchwork…

Methodology · Statistics 2024-06-21 Lili Zheng , Andersen Chang , Genevera I. Allen

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

Machine Learning · Statistics 2023-08-14 Luca Coraggio , Pietro Coretto

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

Machine Learning · Computer Science 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

Machine Learning · Computer Science 2023-10-31 Oleg I. Berngardt

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

Machine Learning · Statistics 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso
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