4 papers
Relaxation of Projected Prior with Continuous Gap Shrinkage
Leo L Duan, Sunghyun Cho, Mingzhang Yin
Projected priors were originally introduced to accommodate parameter constraints, but have recently regained popularity due to their ability to assign probability mass to low-dimen…
Statistical Modeling of Combinatorial Response Data
Yu Zheng, Malay Ghosh, Leo Duan
There is a rich literature for modeling binary and polychotomous responses. However, existing methods are inadequate for handling combinatorial responses, where each response is an…
Consistency of Graphical Model-based Clustering: Robust Clustering using Bayesian Spanning Forest
Yu Zheng, Leo L. Duan, Arkaprava Roy
Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertain…
Gibbs Sampling using Anti-correlation Gaussian Data Augmentation, with Applications to L1-ball-type Models
Yu Zheng, Leo L. Duan
L1-ball-type priors are a recent generalization of the spike-and-slab priors. By transforming a continuous precursor distribution to the L1-ball boundary, it induces exact zeros wi…