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High-throughput sequencing technology provides unprecedented opportunities to quantitatively explore human gut microbiome and its relation to diseases. Microbiome data are compositional, sparse, noisy, and heterogeneous, which pose serious…

Methodology · Statistics 2020-10-12 Fangting Zhou , Kejun He , Qiwei Li , Robert S. Chapkin , Yang Ni

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

Methodology · Statistics 2024-08-21 Wei Liu , Qingzhi Zhong

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

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

Latent factor models that integrate data from multiple sources/studies or modalities have garnered considerable attention across various disciplines. However, existing methods predominantly focus either on multi-study integration or…

Methodology · Statistics 2025-07-15 Wei Liu , Qingzhi Zhong

Bayesian variable selection methods are powerful techniques for fitting and inferring on sparse high-dimensional linear regression models. However, many are computationally intensive or require restrictive prior distributions on model…

Methodology · Statistics 2023-10-10 Alexander C. McLain , Anja Zgodic , Howard Bondell

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

Methodology · Statistics 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

Quantitative genetic studies that model complex, multivariate phenotypes are important for both evolutionary prediction and artificial selection. For example, changes in gene expression can provide insight into developmental and…

Applications · Statistics 2013-05-03 Daniel E Runcie , Sayan Mukherjee

Rapid technological advances have allowed for molecular profiling across multiple omics domains from a single sample for clinical decision making in many diseases, especially cancer. As tumor development and progression are dynamic…

Methodology · Statistics 2022-02-11 Dongyan Yan , Subharup Guha

We develop a factor analysis for mixed continuous and binary observed variables. To this end, we utilized a recently developed multivariate probability distribution for mixed-type random variables, the Gaussian-Grassmann distribution. In…

Methodology · Statistics 2025-12-12 Takashi Arai

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

Applications · Statistics 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

Understanding covariate-varying interdependencies among features is of great interest in various applications. Motivated by microbiome studies where microbial abundances and interactions vary with environmental factors, we develop a…

Methodology · Statistics 2026-03-16 Shuangjie Zhang , Michael L. Patnode , Juhee Lee

Multi-state models of cancer natural history are widely used for designing and evaluating cancer early detection strategies. Calibrating such models against longitudinal data from screened cohorts is challenging, especially when fitting…

Computation · Statistics 2025-08-14 Raphael Morsomme , Shannon Holloway , Marc Ryser , Jason Xu

High throughput screening of compounds (chemicals) is an essential part of drug discovery [7], involving thousands to millions of compounds, with the purpose of identifying candidate hits. Most statistical tools, including the industry…

Machine Learning · Statistics 2017-09-29 Ivo D. Shterev , David B. Dunson , Cliburn Chan , Gregory D. Sempowski

Numerous studies have shown that microbial metabolites, which represent the products of bacteria in the human gut, play a key role in shaping cancer risk and response to treatment. However, metabolite data typically contain a large…

Applications · Statistics 2026-05-19 Kai Jiang , Satabdi Saha , Christine B. Peterson

Significant advances in biotechnology have allowed for simultaneous measurement of molecular data points across multiple genomic and transcriptomic levels from a single tumor/cancer sample. This has motivated systematic approaches to…

This article introduces novel and practicable Bayesian factor analysis frameworks that are computationally feasible for moderate to large spatiotemporal data. Previous Bayesian analysis of spatiotemporal data has utilized a Bayesian factor…

Methodology · Statistics 2025-02-18 Yifan Cheng , Cheng Li

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Identifying signals that replicate across multiple studies is essential for establishing robust scientific evidence, yet existing methods for high-dimensional replicability analysis either rely on restrictive modeling assumptions, are…

Methodology · Statistics 2026-03-05 Haochen Lei , Yan Li , Hongyuan Cao

Gene and protein networks are very important to model complex large-scale systems in molecular biology. Inferring or reverseengineering such networks can be defined as the process of identifying gene/protein interactions from experimental…

Machine Learning · Computer Science 2017-03-10 Stefano Beretta , Mauro Castelli , Ivo Goncalves , Ivan Merelli , Daniele Ramazzotti