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Finite mixture models are frequently used to uncover latent structures in high-dimensional datasets (e.g.\ identifying clusters of patients in electronic health records). The inference of such structures can be performed in a Bayesian…

Bayesian variable selection regression (BVSR) is able to jointly analyze genome-wide genetic datasets, but the slow computation via Markov chain Monte Carlo (MCMC) hampered its wide-spread usage. Here we present a novel iterative method to…

Computation · Statistics 2018-07-31 Quan Zhou , Yongtao Guan

When faced with high frequency streams of data, clustering raises theoretical and algorithmic pitfalls. We introduce a new and adaptive online clustering algorithm relying on a quasi-Bayesian approach, with a dynamic (i.e., time-dependent)…

Machine Learning · Statistics 2018-09-24 Le Li , Benjamin Guedj , Sébastien Loustau

In molecular biology, advances in high-throughput technologies have made it possible to study complex multivariate phenotypes and their simultaneous associations with high-dimensional genomic and other omics data, a problem that can be…

Methodology · Statistics 2021-12-02 Zhi Zhao , Marco Banterle , Leonardo Bottolo , Sylvia Richardson , Alex Lewin , Manuela Zucknick

Within Bayesian nonparametrics, dependent Dirichlet process mixture models provide a highly flexible approach for conducting inference about the conditional density function. However, several formulations of this class make either rather…

Methodology · Statistics 2024-05-14 María Xosé Rodríguez-Álvarez , Vanda Inácio , Nadja Klein

Clustering with variable selection is a challenging yet critical task for modern small-n-large-p data. Existing methods based on sparse Gaussian mixture models or sparse K-means provide solutions to continuous data. With the prevalence of…

Machine Learning · Statistics 2020-04-28 Tanbin Rahman , Yujia Li , Tianzhou Ma , Lu Tang , George Tseng

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

Methodology · Statistics 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

We consider the question of Markov chain Monte Carlo sampling from a general stick-breaking Dirichlet process mixture model, with concentration parameter alpha. This paper introduces a Gibbs sampling algorithm that combines the slice…

Computation · Statistics 2014-02-21 David I. Hastie , Silvia Liverani , Sylvia Richardson

Mixture models are a natural choice in many applications, but it can be difficult to place an a priori upper bound on the number of components. To circumvent this, investigators are turning increasingly to Dirichlet process mixture models…

Statistics Theory · Mathematics 2018-06-22 Łukasz Rajkowski

The Neyman-Scott point process is a widely used point process model which is easily interpretable and easily extendable to include various types of inhomogeneity. The inference for such complex models is then complicated and fast methods,…

Methodology · Statistics 2022-05-18 Jiří Dvořák , Radim Remeš , Ladislav Beránek , Tomáš Mrkvička

In recent years the importance of finding a meaningful pattern from huge datasets has become more challenging. Data miners try to adopt innovative methods to face this problem by applying feature selection methods. In this paper we propose…

Machine Learning · Computer Science 2014-03-11 Mehdi Naseriparsa , Amir-masoud Bidgoli , Touraj Varaee

Cancer typically arises not from a single genetic mutation (i.e., hit) but from multi-hit combinations that accumulate within cells. However, enumerating multi-hit combinations becomes exponentially more expensive computationally as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-18 Ritvik Prabhu , Emil Vatai , Bernard Moussad , Emmanuel Jeannot , Ramu Anandakrishnan , Wu-chun Feng , Mohamed Wahib

There is a rich literature on clustering functional data with applications to time-series modeling, trajectory data, and even spatio-temporal applications. However, existing methods routinely perform global clustering that enforces…

Methodology · Statistics 2024-12-16 Tsung-Hung Yao , Suprateek Kundu

This paper studies density-based clustering of point sets. These methods use dense regions of points to detect clusters of arbitrary shapes. In particular, we study variants of density peaks clustering, a popular type of algorithm that has…

Data Structures and Algorithms · Computer Science 2025-06-04 Shangdi Yu , Joshua Engels , Yihao Huang , Julian Shun

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

Computation · Statistics 2017-09-15 Hien D. Nguyen

We present an unsupervised data processing workflow that is specifically designed to obtain a fast conformational clustering of long molecular dynamics simulation trajectories. In this approach we combine two dimensionality reduction…

Chemical Physics · Physics 2023-08-09 Simon Hunkler , Kay Diederichs , Oleksandra Kukharenko , Christine Peter

Studying the human microbiome has gained substantial interest in recent years, and a common task in the analysis of these data is to cluster microbiome compositions into subtypes. This subdivision of samples into subgroups serves as an…

Methodology · Statistics 2020-10-22 Jialiang Mao , Li Ma

There is a rich literature proposing methods and establishing asymptotic properties of Bayesian variable selection methods for parametric models, with a particular focus on the normal linear regression model and an increasing emphasis on…

Statistics Theory · Mathematics 2011-08-16 Suprateek Kundu , David B. Dunson

Hierarchical clustering is a fundamental task often used to discover meaningful structures in data, such as phylogenetic trees, taxonomies of concepts, subtypes of cancer, and cascades of particle decays in particle physics. Typically…

Data Structures and Algorithms · Computer Science 2020-10-23 Craig S. Greenberg , Sebastian Macaluso , Nicholas Monath , Ji-Ah Lee , Patrick Flaherty , Kyle Cranmer , Andrew McGregor , Andrew McCallum

Dirichlet process mixture models (DPMM) play a central role in Bayesian nonparametrics, with applications throughout statistics and machine learning. DPMMs are generally used in clustering problems where the number of clusters is not known…

Machine Learning · Statistics 2020-10-20 Chiao-Yu Yang , Eric Xia , Nhat Ho , Michael I. Jordan
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