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In this paper, we propose a model-based clustering method (TVClust) that robustly incorporates noisy side information as soft-constraints and aims to seek a consensus between side information and the observed data. Our method is based on a…

Machine Learning · Statistics 2015-11-03 Daniel Khashabi , John Wieting , Jeffrey Yufei Liu , Feng Liang

We present a new model-based integrative method for clustering objects given both vectorial data, which describes the feature of each object, and network data, which indicates the similarity of connected objects. The proposed general model…

Machine Learning · Statistics 2017-10-25 Yunchuan Kong , Xiaodan Fan

We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

Methodology · Statistics 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

Clustering procedures typically estimate which data points are clustered together, a quantity of primary importance in many analyses. Often used as a preliminary step for dimensionality reduction or to facilitate interpretation, finding…

Methodology · Statistics 2017-12-06 Ryan Giordano , Runjing Liu , Nelle Varoquaux , Michael I. Jordan , Tamara Broderick

In recent years, advances in high throughput sequencing technology have led to a need for specialized methods for the analysis of digital gene expression data. While gene expression data measured on a microarray take on continuous values…

Applications · Statistics 2012-02-29 Daniela M. Witten

Clustering is commonly performed as an initial analysis step for uncovering structure in 'omics datasets, e.g. to discover molecular subtypes of disease. The high-throughput, high-dimensional nature of these datasets means that they provide…

Methodology · Statistics 2023-03-02 Paul D. W. Kirk , Filippo Pagani , Sylvia Richardson

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

Unsupervised clustering of curves according to their shapes is an important problem with broad scientific applications. The existing model-based clustering techniques either rely on simple probability models (e.g., Gaussian) that are not…

Machine Learning · Statistics 2015-04-03 Zhengwu Zhang , Debdeep Pati , Anuj Srivastava

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

Machine Learning · Statistics 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

Network models provide a powerful and flexible framework for analyzing a wide range of structured data sources. In many situations of interest, however, multiple networks can be constructed to capture different aspects of an underlying…

Social and Information Networks · Computer Science 2021-11-03 Madeline Navarro , Genevera I. Allen , Michael Weylandt

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

Methodology · Statistics 2024-07-30 Alexander Dombowsky , David B. Dunson

This paper proposes a new Bayesian multiple change-point model which is based on the hidden Markov approach. The Dirichlet process hidden Markov model does not require the specification of the number of change-points a priori. Hence our…

Statistics Theory · Mathematics 2015-05-08 Stanley I. M. Ko , Terence T. L. Chong , Pulak Ghosh

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

Joint alignment of a collection of functions is the process of independently transforming the functions so that they appear more similar to each other. Typically, such unsupervised alignment algorithms fail when presented with complex data…

Machine Learning · Computer Science 2012-10-19 Marwan A. Mattar , Allen R. Hanson , Erik G. Learned-Miller

There is a keen interest in characterizing variation in the microbiome across cancer patients, given increasing evidence of its important role in determining treatment outcomes. Here our goal is to discover subgroups of patients with…

Applications · Statistics 2022-12-06 Yushu Shi , Liangliang Zhang , Kim-Anh Do , Robert Jenq , Christine Peterson

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

We propose a Bayesian approach for model-based clustering of multivariate categorical data where variables are allowed to be associated within clusters and the number of clusters is unknown. The approach uses a two-layer mixture of finite…

Methodology · Statistics 2024-07-09 Gertraud Malsiner-Walli , Bettina Grün , Sylvia Frühwirth-Schnatter

Mixture models are a standard tool in statistical analyses, widely used for density modeling and model-based clustering. In this work, we propose a Bayesian mixture model with repulsion between mixture components. Such repulsion helps…

Methodology · Statistics 2026-02-24 Hanxi Sun , Boqian Zhang , Minhyeok Kim , Vinayak Rao

Clustering has become a core technology in machine learning, largely due to its application in the field of unsupervised learning, clustering, classification, and density estimation. A frequentist approach exists to hand clustering based on…

Machine Learning · Computer Science 2021-08-27 Jun Lu
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