English
Related papers

Related papers: Bayesian clustering of replicated time-course gene…

200 papers

We consider the problem of clustering grouped data for which the observations may include group-specific variables in addition to the variables that are shared across groups. This type of data is common in cancer genomics where the…

Methodology · Statistics 2025-09-30 Arhit Chakrabarti , Yang Ni , Debdeep Pati , Bani K. Mallick

In many fields, researchers are interested in large and complex biological processes. Two important examples are gene expression and DNA methylation in genetics. One key problem is to identify aberrant patterns of these processes and…

Applications · Statistics 2012-10-03 Matthias Kormaksson , James G. Booth , Maria E. Figueroa , Ari Melnick

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

Machine Learning · Computer Science 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

Bayesian non-parametric methods based on Dirichlet process mixtures have seen tremendous success in various domains and are appealing in being able to borrow information by clustering samples that share identical parameters. However, such…

Methodology · Statistics 2022-07-04 Suprateek Kundu , Joshua Lukemire

To understand biological diversification, it is important to account for large-scale processes that affect the evolutionary history of groups of co-distributed populations of organisms. Such events predict temporally clustered divergences…

Populations and Evolution · Quantitative Biology 2014-08-11 Jamie R. Oaks

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

Machine Learning · Statistics 2017-09-20 Ruohui Wang , Dahua Lin

Cluster analysis aims at partitioning data into groups or clusters. In applications, it is common to deal with problems where the number of clusters is unknown. Bayesian mixture models employed in such applications usually specify a…

Methodology · Statistics 2022-01-27 Jan Greve , Bettina Grün , Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

Methodology · Statistics 2021-07-07 Yinan Mao , David J. Nott

We develop methods for efficient amortized approximate Bayesian inference over posterior distributions of probabilistic clustering models, such as Dirichlet process mixture models. The approach is based on mapping distributed,…

Machine Learning · Statistics 2018-11-27 Ari Pakman , Liam Paninski

Exemplar-based clustering methods have been shown to produce state-of-the-art results on a number of synthetic and real-world clustering problems. They are appealing because they offer computational benefits over latent-mean models and can…

Machine Learning · Computer Science 2012-06-18 Daniel Tarlow , Richard S. Zemel , Brendan J. Frey

We develop a sequential low-complexity inference procedure for Dirichlet process mixtures of Gaussians for online clustering and parameter estimation when the number of clusters are unknown a-priori. We present an easily computable, closed…

Machine Learning · Statistics 2015-09-15 Theodoros Tsiligkaridis , Keith W. Forsythe

We consider the problem of inferring an unknown number of clusters in replicated multinomial data. Under a model based clustering point of view, this task can be treated by estimating finite mixtures of multinomial distributions with or…

Methodology · Statistics 2023-07-07 Panagiotis Papastamoulis

We consider the semi-supervised clustering problem where crowdsourcing provides noisy information about the pairwise comparisons on a small subset of data, i.e., whether a sample pair is in the same cluster. We propose a new approach that…

Machine Learning · Statistics 2018-10-30 Yucen Luo , Tian Tian , Jiaxin Shi , Jun Zhu , Bo Zhang

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

Recently, it has become feasible to generate large-scale, multi-tissue gene expression data, where expression profiles are obtained from multiple tissues or organs sampled from dozens to hundreds of individuals. When traditional clustering…

Quantitative Methods · Quantitative Biology 2021-10-29 Pau Erola , Johan LM Björkegren , Tom Michoel

Dirichlet process mixtures are particularly sensitive to the value of the precision parameter controlling the behavior of the latent partition. Randomization of the precision through a prior distribution is a common solution, which leads to…

Methodology · Statistics 2024-09-04 Alessandro Zito , Tommaso Rigon , David B. Dunson

Dirichlet Process Mixture Models (DPMMs) are widely used to address clustering problems. Their main advantage lies in their ability to automatically estimate the number of clusters during the inference process through the Bayesian…

Machine Learning · Statistics 2023-12-19 Reda Khoufache , Mustapha Lebbah , Hanene Azzag , Etienne Goffinet , Djamel Bouchaffra

The parsimonious Gaussian mixture models, which exploit an eigenvalue decomposition of the group covariance matrices of the Gaussian mixture, have shown their success in particular in cluster analysis. Their estimation is in general…

Machine Learning · Statistics 2018-10-18 Faicel Chamroukhi , Marius Bartcus , Hervé Glotin

We consider the Bayesian mixture of finite mixtures (MFMs) and Dirichlet process mixture (DPM) models for clustering. Recent asymptotic theory has established that DPMs overestimate the number of clusters for large samples and that…

With advances in neural recording techniques, neuroscientists are now able to record the spiking activity of many hundreds of neurons simultaneously, and new statistical methods are needed to understand the structure of this large-scale…

Neurons and Cognition · Quantitative Biology 2023-03-03 Ganchao Wei , Ian H. Stevenson , Xiaojing Wang