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math.ST2020★ 4 cited
Joint Bayesian Variable and DAG Selection Consistency for High-dimensional Regression Models with Network-structured Covariates
Xuan Cao, Kyoungjae Lee
We consider the joint sparse estimation of regression coefficients and the covariance matrix for covariates in a high-dimensional regression model, where the predictors are both re…
math.ST2020
Bayesian inference for high-dimensional decomposable graphs
Kyoungjae Lee, Xuan Cao
In this paper, we consider high-dimensional Gaussian graphical models where the true underlying graph is decomposable. A hierarchical -Wishart prior is proposed to conduct a Bay…
math.ST2019★ 1 cited
Consistent Bayesian Sparsity Selection for High-dimensional Gaussian DAG Models with Multiplicative and Beta-mixture Priors
Xuan Cao, Kshitij Khare, Malay Ghosh
Estimation of the covariance matrix for high-dimensional multivariate datasets is a challenging and important problem in modern statistics. In this paper, we focus on high-dimensio…