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This paper is concerned with the selection and estimation of fixed and random effects in linear mixed effects models. We propose a class of nonconcave penalized profile likelihood methods for selecting and estimating important fixed…

统计理论 · 数学 2012-11-05 Yingying Fan , Runze Li

We propose a novel method for estimating heterogeneous treatment effects based on the fused lasso. By first ordering samples based on the propensity or prognostic score, we match units from the treatment and control groups. We then run the…

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

统计方法学 · 统计学 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

统计理论 · 数学 2008-05-27 Jiahua Chen , Xianming Tan

This paper proposes a penalized composite likelihood method for model selection in colored graphical Gaussian models. The method provides a sparse and symmetry-constrained estimator of the precision matrix, and thus conducts model selection…

统计方法学 · 统计学 2020-04-06 Qiong Li , Xiaoying Sun , Nanwei Wang

We consider the problem of sparse variable selection in nonparametric additive models, with the prior knowledge of the structure among the covariates to encourage those variables within a group to be selected jointly. Previous works either…

机器学习 · 计算机科学 2012-06-22 Junming Yin , Xi Chen , Eric Xing

We introduce a new empirical Bayes approach for large-scale multiple linear regression. Our approach combines two key ideas: (i) the use of flexible "adaptive shrinkage" priors, which approximate the nonparametric family of scale mixture of…

统计方法学 · 统计学 2024-06-13 Youngseok Kim , Wei Wang , Peter Carbonetto , Matthew Stephens

An important task in health research is to characterize time-to-event outcomes such as disease onset or mortality in terms of a potentially high-dimensional set of risk factors. For example, prospective cohort studies of Alzheimer's disease…

统计方法学 · 统计学 2024-01-12 Harrison T. Reeder , Sebastien Haneuse , Kyu Ha Lee

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

机器学习 · 统计学 2009-12-01 Ali Shojaie , George Michailidis

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

Penalization schemes like Lasso or ridge regression are routinely used to regress a response of interest on a high-dimensional set of potential predictors. Despite being decisive, the question of the relative strength of penalization is…

统计方法学 · 统计学 2018-11-08 Britta Velten , Wolfgang Huber

Mixtures of matrix Gaussian distributions provide a probabilistic framework for clustering continuous matrix-variate data, which are becoming increasingly prevalent in various fields. Despite its widespread adoption and successful…

统计计算 · 统计学 2023-07-21 Andrea Cappozzo , Alessandro Casa , Michael Fop

In this paper, we study the model selection and structure specification for the generalised semi-varying coefficient models (GSVCMs), where the number of potential covariates is allowed to be larger than the sample size. We first propose a…

统计理论 · 数学 2015-10-30 Degui Li , Yuan Ke , Wenyang Zhang

Linear regression and classification methods with repeated functional data are considered. For each statistical unit in the sample, a real-valued parameter is observed over time under different conditions related by some neighborhood…

统计方法学 · 统计学 2024-09-23 Issam-Ali Moindjié , Cristian Preda , Sophie Dabo-Niang

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

统计方法学 · 统计学 2019-05-09 Abhik Ghosh , Magne Thoresen

In this paper, we propose a framework for automatic classification of patients from multimodal genetic and brain imaging data by optimally combining them. Additive models with unadapted penalties (such as the classical group lasso penalty…

机器学习 · 统计学 2017-10-11 Pascal Lu , Olivier Colliot

We investigate the choice of tuning parameters for a Bayesian multi-level group lasso model developed for the joint analysis of neuroimaging and genetic data. The regression model we consider relates multivariate phenotypes consisting of…

机器学习 · 统计学 2016-03-29 Farouk S. Nathoo , Keelin Greenlaw , Mary Lesperance

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They are subject of a growing investigation in the context of…

机器学习 · 统计学 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen

High-dimensional data pose challenges in statistical learning and modeling. Sometimes the predictors can be naturally grouped where pursuing the between-group sparsity is desired. Collinearity may occur in real-world high-dimensional…

机器学习 · 统计学 2011-11-11 Yiyuan She

We study the Cox models with semiparametric relative risk, which can be partially linear with one nonparametric component, or multiple additive or nonadditive nonparametric components. A penalized partial likelihood procedure is proposed to…

统计理论 · 数学 2010-10-20 Pang Du , Shuangge Ma , Hua Liang