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The FBMS R package facilitates Bayesian model selection and model averaging in complex regression settings by employing a variety of Monte Carlo model exploration methods. At its core, the package implements an efficient Mode Jumping Markov…

Methodology · Statistics 2025-09-03 Florian Frommlet , Jon Lachmann , Geir Storvik , Aliaksandr Hubin

Generalized linear mixed models (GLMM) are used for inference and prediction in a wide range of different applications providing a powerful scientific tool. An increasing number of sources of data are becoming available, introducing a…

Computation · Statistics 2019-03-19 Aliaksandr Hubin , Geir Storvik

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

Linear mixed models (LMMs), which incorporate fixed and random effects, are key tools for analyzing heterogeneous data, such as in personalized medicine. Nowadays, this type of data is increasingly wide, sometimes containing thousands of…

Machine Learning · Statistics 2026-05-15 Ryan Thompson , Matt P. Wand , Joanna J. J. Wang

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

Machine Learning · Statistics 2015-03-31 Ravi Ganti , Rebecca M. Willett

Discrete-time hidden Markov models are a broadly useful class of latent-variable models with applications in areas such as speech recognition, bioinformatics, and climate data analysis. It is common in practice to introduce temporal…

Applications · Statistics 2017-01-16 Tracy Holsclaw , Arthur M. Greene , Andrew W. Robertson , Padhraic Smyth

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

Computation · Statistics 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

Generalized linear mixed models (GLMM) encompass large class of statistical models, with a vast range of applications areas. GLMM extends the linear mixed models allowing for different types of response variable. Three most common data…

Applications · Statistics 2017-04-25 Wagner Hugo Bonat , Paulo Justiniano Ribeiro , Silvia emiko Shimakura

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

Machine Learning · Statistics 2022-05-04 Thomas Lartigue , Sach Mukherjee

Bayesian multidimensional scaling (BMDS) is a probabilistic dimension reduction tool that allows one to model and visualize data consisting of dissimilarities between pairs of objects. Although BMDS has proven useful within, e.g., Bayesian…

Methodology · Statistics 2025-05-23 Ami Sheth , Aaron Smith , Andrew J. Holbrook

In genomics, differential abundance and expression analyses are complicated by the compositional nature of sequence count data, which reflect only relative-not absolute-abundances or expression levels. Many existing methods attempt to…

Methodology · Statistics 2025-12-16 Won Gu , Francesca Chiaromonte , Justin D. Silverman

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

Machine Learning · Statistics 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

Applications · Statistics 2016-01-12 Francisco J. Rubio , Marc G. Genton

In large-scale genomic applications vast numbers of molecular features are scanned in order to find a small number of candidates which are linked to a particular disease or phenotype. This is a variable selection problem in the "large p,…

Computation · Statistics 2014-02-13 Manuela Zucknick , Sylvia Richardson

In variety testing, multi-environment trials (MET) are essential for evaluating the genotypic performance of crop plants. A persistent challenge in the statistical analysis of MET data is the estimation of variance components, which are…

Methodology · Statistics 2026-04-20 Stephan Bark , Waqas Ahmed Malik , Maryna Prus , Hans-Peter Piepho , Volker Schmid

Linear Mixed-Effects (LME) models are a fundamental tool for modeling clustered data, including cohort studies, longitudinal data analysis, and meta-analysis. The design and analysis of variable selection methods for LMEs is considerably…

Methodology · Statistics 2022-09-28 Aleksandr Aravkin , James Burke , Aleksei Sholokhov , Peng Zheng

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

Machine Learning · Statistics 2019-05-28 Aliaksandr Hubin , Geir Storvik

The recently developed semi-parametric generalized linear model (SPGLM) offers more flexibility as compared to the classical GLM by including the baseline or reference distribution of the response as an additional parameter in the model.…

Methodology · Statistics 2024-04-09 Entejar Alam , Peter Müller , Paul J. Rathouz

We consider Bayesian inference for stochastic differential equation mixed effects models (SDEMEMs) exemplifying tumor response to treatment and regrowth in mice. We produce an extensive study on how a SDEMEM can be fitted using both exact…

Applications · Statistics 2019-03-28 Umberto Picchini , Julie Lyng Forman
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