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We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum likelihood estimator which encourages both sparsity and…

Applications · Statistics 2016-08-22 Adria Caballe , Natalia Bochkina , Claus Mayer

Motivation: Recent advances in technology for brain imaging and high-throughput genotyping have motivated studies examining the influence of genetic variation on brain structure. Wang et al. (Bioinformatics, 2012) have developed an approach…

Methodology · Statistics 2016-10-18 Keelin Greenlaw , Elena Szefer , Jinko Graham , Mary Lesperance , Farouk S. Nathoo

We explore the use of generalized t priors on regression coefficients to help understand the nature of association signal within "hit regions" of genome-wide association studies. The particular generalized t distribution we adopt is a…

Applications · Statistics 2012-10-26 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

There are proposals that extend the classical generalized additive models (GAMs) to accommodate high-dimensional data ($p>>n$) using group sparse regularization. However, the sparse regularization may induce excess shrinkage when estimating…

Methodology · Statistics 2022-07-07 Boyi Guo , Byron C. Jaeger , A. K. M. Fazlur Rahman , D. Leann Long , Nengjun Yi

We present a Bayesian method for feature selection in the presence of grouping information with sparsity on the between- and within group level. Instead of using a stochastic algorithm for parameter inference, we employ expectation…

Machine Learning · Statistics 2018-09-26 Edgar Steiger , Martin Vingron

In this paper we develop a novel approach for estimating large and sparse dynamic factor models using variational inference, also allowing for missing data. Inspired by Bayesian variable selection, we apply slab-and-spike priors onto the…

Methodology · Statistics 2022-10-14 Erik Spånberg

Sample selection models are a widely used approach for correcting bias caused by data that are missing not at random. Their formulation requires specifying the variables that influence the outcome and those that drive the selection process.…

Computation · Statistics 2026-03-25 Adam J. Iqbal , Emmanuel O. Ogundimu , F. Javier Rubio

Gene expression and phenotype association can be affected by potential unmeasured confounders from multiple sources, leading to biased estimates of the associations. Since genetic variants largely explain gene expression variations, they…

Methodology · Statistics 2019-10-23 Jiarui Lu , Hongzhe Li

In recent years, there has been an explosion of machine learning techniques for turbulence closure modeling, though many rely on augmenting existing models. While this has proven successful in single-phase flows, it breaks down for…

Fluid Dynamics · Physics 2021-06-22 S. Beetham , J. Capecelatro

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

Its conceptual appeal and effectiveness has made latent factor modeling an indispensable tool for multivariate analysis. Despite its popularity across many fields, there are outstanding methodological challenges that have hampered practical…

Methodology · Statistics 2018-12-12 Kenichiro McAlinn , Veronika Rockova , Enakshi Saha

Most estimates for penalised linear regression can be viewed as posterior modes for an appropriate choice of prior distribution. Bayesian shrinkage methods, particularly the horseshoe estimator, have recently attracted a great deal of…

Methodology · Statistics 2017-11-06 Zemei Xu , Daniel F. Schmidt , Enes Makalic , Guoqi Qian , John L. Hopper

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Statistics Theory · Mathematics 2024-04-08 Marion Naveau , Guillaume Kon Kam King , Renaud Rincent , Laure Sansonnet , Maud Delattre

Bayesian binary regression is a prosperous area of research due to the computational challenges encountered by currently available methods either for high-dimensional settings or large datasets, or both. In the present work, we focus on the…

Computation · Statistics 2023-09-06 Augusto Fasano , Niccolò Anceschi , Beatrice Franzolini , Giovanni Rebaudo

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

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

Information Theory · Computer Science 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

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

Nonresponse weighting adjustment using propensity score is a popular method for handling unit nonresponse. However, including all available auxiliary variables into the propensity model can lead to inefficient and inconsistent estimation,…

Methodology · Statistics 2018-07-31 Hejian Sang , Gyuhyeong Goh , Jae Kwang Kim

Posterior sampling with the spike-and-slab prior [MB88], a popular multimodal distribution used to model uncertainty in variable selection, is considered the theoretical gold standard method for Bayesian sparse linear regression [CPS09,…

Machine Learning · Statistics 2025-03-05 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Yusong Zhu

In this work we suggest a statistical mechanics approach to the classification of high-dimensional data according to a binary label. We propose an algorithm whose aim is twofold: First it learns a classifier from a relatively small number…

Statistical Mechanics · Physics 2009-07-22 Andrea Pagnani , Francesca Tria , Martin Weigt