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In genome-wide association studies (GWAS), penalization is an important approach for identifying genetic markers associated with trait while mixed model is successful in accounting for a complicated dependence structure among samples.…

统计方法学 · 统计学 2013-05-21 Jin Liu , Can Yang , Xingjie Shi , Cong Li , Jian Huang , Hongyu Zhao , Shuangge Ma

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

We develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

统计方法学 · 统计学 2018-02-19 Atte Aalto , Jorge Goncalves

Although genome-wide association studies (GWAS) have proven powerful for comprehending the genetic architecture of complex traits, they are challenged by a high dimension of single-nucleotide polymorphisms (SNPs) as predictors, the presence…

应用统计 · 统计学 2015-09-15 Jiahan Li , Zhong Wang , Runze Li , Rongling Wu

Recent work has focused on the problem of conducting linear regression when the number of covariates is very large, potentially greater than the sample size. To facilitate this, one useful tool is to assume that the model can be well…

统计方法学 · 统计学 2011-11-21 Zhou Fang

Recently, a number of mostly $\ell_1$-norm regularized least squares type deterministic algorithms have been proposed to address the problem of \emph{sparse} adaptive signal estimation and system identification. From a Bayesian perspective,…

We consider the problems of estimation and selection of parameters endowed with a known group structure, when the groups are assumed to be sign-coherent, that is, gathering either nonnegative, nonpositive or null parameters. To tackle this…

统计方法学 · 统计学 2015-03-19 Julien Chiquet , Yves Grandvalet , Camille Charbonnier

We consider the problems of hypothesis testing and model comparison under a flexible Bayesian linear regression model whose formulation is closely connected with the linear mixed effect model and the parametric models for SNP set analysis…

统计方法学 · 统计学 2015-02-24 Xiaoquan Wen

In longitudinal study, it is common that response and covariate are not measured at the same time, which complicates the analysis to a large extent. In this paper, we take into account the estimation of generalized varying coefficient model…

统计方法学 · 统计学 2022-06-10 Rou Zhong , Chunming Zhang , Jingxiao Zhang

In the low-dimensional case, the generalized additive coefficient model (GACM) proposed by Xue and Yang [Statist. Sinica 16 (2006) 1423-1446] has been demonstrated to be a powerful tool for studying nonlinear interaction effects of…

统计理论 · 数学 2015-10-15 Shujie Ma , Raymond J. Carroll , Hua Liang , Shizhong Xu

An important problem in the analysis of high-dimensional omics data is to identify subsets of molecular variables that are associated with a phenotype of interest. This requires addressing the challenges of high dimensionality, strong…

统计方法学 · 统计学 2022-04-05 Fan Wang , Sylvia Richardson , Steven M. Hill

In genomic analysis, biomarker discovery, image recognition, and other systems involving machine learning, input variables can often be organized into different groups by their source or semantic category. Eliminating some groups of…

Studies have shown that exposure to air pollution, even at low levels, significantly increases mortality. As regulatory actions are becoming prohibitively expensive, robust evidence to guide the development of targeted interventions to…

应用统计 · 统计学 2018-02-20 Kwonsang Lee , Dylan S. Small , Francesca Dominici

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

In statistical learning framework with regressions, interactions are the contributions to the response variable from the products of the explanatory variables. In high-dimensional problems, detecting interactions is challenging due to…

统计方法学 · 统计学 2019-10-01 Cheng Yong Tang , Ethan X. Fang , Yuexiao Dong

Recently, advanced technologies have unlimited potential in solving various problems with a large amount of data. However, these technologies have yet to show competitive performance in brain-computer interfaces (BCIs) which deal with brain…

人工智能 · 计算机科学 2022-06-20 Byeong-Hoo Lee , Jeong-Hyun Cho , Byoung-Hee Kwon , Seong-Whan Lee

Medical time series analysis is challenging due to data sparsity, noise, and highly variable recording lengths. Prior work has shown that stochastic sparse sampling effectively handles variable-length signals, while retrieval-augmented…

In high-dimensional data analysis, bi-level sparsity is often assumed when covariates function group-wisely and sparsity can appear either at the group level or within certain groups. In such cases, an ideal model should be able to…

统计方法学 · 统计学 2021-09-14 Bin Luo , Xiaoli Gao