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Various methods have been developed to combine inference across multiple sets of results for unsupervised clustering, within the ensemble clustering literature. The approach of reporting results from one `best' model out of several…

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Survey data are often collected under multistage sampling designs where units are binned to clusters that are sampled in a first stage. The unit-indexed population variables of interest are typically dependent within cluster. We propose a…

Methodology · Statistics 2021-08-26 Luis G. Leon-Novelo , Terrance D. Savitsky

We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

Machine Learning · Computer Science 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

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

In this project we are interested in performing clustering of observations such that the cluster membership is influenced by a set of predictors. To that end, we employ the Bayesian nonparameteric Common Atoms Model, which is a nested…

Methodology · Statistics 2025-12-11 Md Yasin Ali Parh , Jeremy T. Gaskins

Several approaches have been proposed in the literature for clustering multivariate ordinal data. These methods typically treat missing values as absent information, rather than recognizing them as valuable for profiling population…

Methodology · Statistics 2024-11-05 Alice Giampino , Antonio Canale , Bernardo Nipoti

One of the focal points of the modern literature on Bayesian nonparametrics has been the problem of clustering, or partitioning, where each data point is modeled as being associated with one and only one of some collection of groups called…

Statistics Theory · Mathematics 2013-10-02 Tamara Broderick , Michael I. Jordan , Jim Pitman

Semi-supervised clustering is the task of clustering data points into clusters where only a fraction of the points are labelled. The true number of clusters in the data is often unknown and most models require this parameter as an input.…

Machine Learning · Computer Science 2013-09-27 Amar Shah , Zoubin Ghahramani

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

Computation · Statistics 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

Applications · Statistics 2016-03-09 Tapesh Santra

Non-Gaussian mixture models are gaining increasing attention for mixture model-based clustering particularly when dealing with data that exhibit features such as skewness and heavy tails. Here, such a mixture distribution is presented,…

Computation · Statistics 2020-05-07 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

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

Microorganisms play critical roles in human health and disease. It is well known that microbes live in diverse communities in which they interact synergistically or antagonistically. Thus for estimating microbial associations with clinical…

The scan statistic is widely used in spatial cluster detection applications of inhomogeneous Poisson processes. However, real data may present substantial departure from the underlying Poisson process. One of the possible departures has to…

Methodology · Statistics 2013-11-19 André L. F. Cançado , Cibele Q. da-Silva , Michel F. da Silva

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

Data Analysis, Statistics and Probability · Physics 2008-09-28 Alexei Vazquez

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

Data on count processes arise in a variety of applications, including longitudinal, spatial and imaging studies measuring count responses. The literature on statistical models for dependent count data is dominated by models built from…

Methodology · Statistics 2013-10-08 Antonio Canale , David B. Dunson

A composite loss framework is proposed for low-rank modeling of data consisting of interesting and common values, such as excess zeros or missing values. The methodology is motivated by the generalized low-rank framework and the hurdle…

Machine Learning · Statistics 2017-09-07 Christopher Dienes

We propose a unified probabilistic framework for sparse count tensors with excess zeros, motivated by single-cell Hi-C data. The observed data are naturally represented as a three-way tensor indexed by genomic loci pairs and cells,…

Methodology · Statistics 2026-04-27 Elena Tuzhilina , Yaoming Zhen