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Bayesian inference of Bayesian network structures is often performed by sampling directed acyclic graphs along an appropriately constructed Markov chain. We present two techniques to improve sampling. First, we give an efficient…

机器学习 · 计算机科学 2025-10-30 Daniele Nikzad , Alexander Zhilkin , Juha Harviainen , Jack Kuipers , Giusi Moffa , Mikko Koivisto

In computational biology, gene expression datasets are characterized by very few individual samples compared to a large number of measurements per sample. Thus, it is appealing to merge these datasets in order to increase the number of…

统计方法学 · 统计学 2011-08-18 Meili Baragatti

We consider the joint inference of regression coefficients and the inverse covariance matrix for covariates in high-dimensional probit regression, where the predictors are both relevant to the binary response and functionally related to one…

统计方法学 · 统计学 2022-03-15 Xuan Cao , Kyoungjae Lee

In many applications, data often arise from multiple groups that may share similar characteristics. A joint estimation method that models several groups simultaneously can be more efficient than estimating parameters in each group…

统计方法学 · 统计学 2020-08-17 Kyoungjae Lee , Xuan Cao

We introduce a class of generic spike-and-slab priors for high-dimensional linear regression with grouped variables and present a Coordinate-ascent Variational Inference (CAVI) algorithm for obtaining an optimal variational Bayes…

统计方法学 · 统计学 2023-10-02 Buyu Lin , Changhao Ge , Jun S. Liu

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.…

统计计算 · 统计学 2026-03-25 Adam J. Iqbal , Emmanuel O. Ogundimu , F. Javier Rubio

In this article, we propose a new class of priors for Bayesian inference with multiple Gaussian graphical models. We introduce fully Bayesian treatments of two popular procedures, the group graphical lasso and the fused graphical lasso, and…

机器学习 · 统计学 2019-05-13 Zehang Richard Li , Tyler H. McCormick , Samuel J. Clark

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

应用统计 · 统计学 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

统计方法学 · 统计学 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

统计方法学 · 统计学 2021-12-30 Chuji Luo , Michael J. Daniels

This work introduces a Bayesian methodology for fitting large discrete graphical models with spike-and-slab priors to encode sparsity. We consider a quasi-likelihood approach that enables node-wise parallel computation resulting in reduced…

统计方法学 · 统计学 2019-10-21 Anwesha Bhattacharyya , Yves Atchade

In the popular approach of "Bayesian variable selection" (BVS), one uses prior and posterior distributions to select a subset of candidate variables to enter the model. A completely new direction will be considered here to study BVS with a…

统计方法学 · 统计学 2008-11-03 Wenxin Jiang , Martin A. Tanner

In linear regression models, fusion of coefficients is used to identify predictors having similar relationships with a response. This is called variable fusion. This paper presents a novel variable fusion method in terms of Bayesian linear…

统计方法学 · 统计学 2021-11-22 Shengyi Wu , Kaito Shimamura , Kohei Yoshikawa , Kazuaki Murayama , Shuichi Kawano

Variable fusion in linear regression models is a statistical method that identifies covariates making similar contributions to the response variable and imposes the same coefficient values on them. Many methods for variable fusion also…

统计方法学 · 统计学 2026-04-29 Junya Miyake , Akira Okazaki , Shuichi Kawano

This article describes a full Bayesian treatment for simultaneous fixed-effect selection and parameter estimation in high-dimensional generalized linear mixed models. The approach consists of using a Bayesian adaptive Lasso penalty for…

统计方法学 · 统计学 2016-08-31 Dao Thanh Tung , Minh-Ngoc Tran , Tran Manh Cuong

The scheduling and schedulability analysis of real-time directed acyclic graph (DAG) task systems have received much recent attention. The DAG model can accurately represent intra-task parallelim and precedence constraints existing in many…

操作系统 · 计算机科学 2018-08-02 Zheng Dong , Cong Liu

Motivated by the need to study the molecular mechanism underlying Type 1 Diabetes (T1D) with the gene expression data collected from both the patients and healthy controls at multiple time points, we propose an innovative method for jointly…

统计方法学 · 统计学 2018-12-10 Bochao Jia , Faming Liang , the TEDDY Study Group

We address the problem of dynamic variable selection in time series regression with unknown residual variances, where the set of active predictors is allowed to evolve over time. To capture time-varying variable selection uncertainty, we…

统计方法学 · 统计学 2019-09-24 Veronika Rockova , Kenichiro McAlinn

This paper proposes to learn Multi-task, Multi-modal Direct Acyclic Graphs (MM-DAGs), which are commonly observed in complex systems, e.g., traffic, manufacturing, and weather systems, whose variables are multi-modal with scalars, vectors,…

机器学习 · 统计学 2023-06-06 Tian Lan , Ziyue Li , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Wolfgang Ketter , Rui Zhao , Chen Zhang

We present an objective Bayes method for covariance selection in Gaussian multivariate regression models whose error term has a covariance structure which is Markov with respect to a Directed Acyclic Graph (DAG). The scope is…

统计方法学 · 统计学 2015-10-09 G. Consonni , L. La Rocca