Bayesian Graphical Models under Positivity Constraints: A Scalable generalized likelihood Approach
正性约束下的贝叶斯图模型:一种可扩展的广义似然方法
We develop a computationally scalable Bayesian framework for precision matrix estimation in Gaussian graphical models under total positivity constraints. To overcome the high computational cost of the Gaussian likelihood, we adopt a generalized Bayesian approach based on the $D$-trace loss, which eliminates the log-determinant term and enables efficient optimization while allowing relaxation of positive definiteness during sampling. Sparsity is induced via spike-and-slab…