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Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

In many applications, the variables that characterize a stochastic system are measured along a second dimension, such as time. This results in multivariate functional data and the interest is in describing the statistical dependences among…

Methodology · Statistics 2025-11-11 Marco Borriero , Luigi Augugliaro , Gianluca Sottile , Veronica Vinciotti

High-dimensional data clustering has become and remains a challenging task for modern statistics and machine learning, with a wide range of applications. We consider in this work the powerful discriminative latent mixture model, and we…

Methodology · Statistics 2020-12-09 Nicolas Jouvin , Charles Bouveyron , Pierre Latouche

The joint analysis of biomedical data in Alzheimer's Disease (AD) is important for better clinical diagnosis and to understand the relationship between biomarkers. However, jointly accounting for heterogeneous measures poses important…

Methodology · Statistics 2018-08-14 Luigi Antelmi , Nicholas Ayache , Philippe Robert , Marco Lorenzi

While graphical models for continuous data (Gaussian graphical models) and discrete data (Ising models) have been extensively studied, there is little work on graphical models linking both continuous and discrete variables (mixed data),…

Machine Learning · Statistics 2016-08-22 Jie Cheng , Tianxi Li , Elizaveta Levina , Ji Zhu

Conditional correlation networks, within Gaussian Graphical Models (GGM), are widely used to describe the direct interactions between the components of a random vector. In the case of an unlabelled Heterogeneous population, Expectation…

Statistics Theory · Mathematics 2022-03-09 Thomas Lartigue , Stanley Durrleman , Stéphanie Allassonnière

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

Unraveling the co-expression of genes across studies enhances the understanding of cellular processes. Inferring gene co-expression networks from transcriptome data presents many challenges, including spurious gene correlations, sample…

Machine Learning · Statistics 2024-10-01 Teodora Pandeva , Martijs Jonker , Leendert Hamoen , Joris Mooij , Patrick Forré

Two key challenges in modern statistical applications are the large amount of information recorded per individual, and that such data are often not collected all at once but in batches. These batch effects can be complex, causing…

Applications · Statistics 2019-05-21 Alejandra Avalos-Pacheco , David Rossell , Richard S. Savage

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

The problem of joint estimation of multiple graphical models from high dimensional data has been studied in the statistics and machine learning literature, due to its importance in diverse fields including molecular biology, neuroscience…

Methodology · Statistics 2019-07-04 Peyman Jalali , Kshitij Khare , George Michailidis

The Gaussian graphical model is a widely used tool for learning gene regulatory networks with high-dimensional gene expression data. Most existing methods for Gaussian graphical models assume that the data are homogeneous, i.e., all samples…

Methodology · Statistics 2018-05-08 Bochao Jia , Faming Liang

A gamma process dynamic Poisson factor analysis model is proposed to factorize a dynamic count matrix, whose columns are sequentially observed count vectors. The model builds a novel Markov chain that sends the latent gamma random variables…

Machine Learning · Statistics 2015-12-31 Ayan Acharya , Joydeep Ghosh , Mingyuan Zhou

Healthcare data from patient or population cohorts are often characterized by sparsity, high missingness and relatively small sample sizes. In addition, being able to quantify uncertainty is often important in a medical context. To address…

Machine Learning · Statistics 2025-03-28 H. C. Donker , D. Neijzen , J. de Jong , G. A. Lunter

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

Methodology · Statistics 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

Graph-based machine learning methods are useful tools in the identification and prediction of variation in genetic data. In particular, the comprehension of phenotypic effects at the cellular level is an accelerating research area in…

Quantitative Methods · Quantitative Biology 2024-12-06 Nandini Gadhia , Michalis Smyrnakis , Po-Yu Liu , Damer Blake , Melanie Hay , Anh Nguyen , Dominic Richards , Dong Xia , Ritesh Krishna

One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as the composition of the bacterial taxa at different taxonomic levels. This paper…

Applications · Statistics 2016-03-04 Pixu Shi , Anru Zhang , Hongzhe Li

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

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari