Convex Estimation of Gaussian Graphical Regression Models with Covariates
Researchers have developed a new convex framework for estimating Gaussian graphical models, which are used to understand conditional independence structures among variables. This method incorporates auxiliary covariates, improving estimation in fields like eQTL studies where genetic variants influence both gene expression and dependence structures. The proposed approach allows for joint convex optimization of the mean and precision matrix, offering enhanced theoretical guarantees in high-dimensional settings. AI