5 papers
Graphical Model-based Inference on Persistent Homology
Zitian Wu, Arkaprava Roy, Leo L. Duan
Persistent homology is a cornerstone of topological data analysis, offering a multiscale summary of topology with robustness to nuisance transformations, such as rotations and smal…
Imaging Genetics Analysis of Alzheimer's Disease
Riddhik Basu, Arkaprava Roy
Alzheimer's disease (AD) is a progressive neurodegenerative disorder characterized by cognitive decline, structural brain changes, and genetic predispositions. This study leverages…
Bayesian Neural-Net-Assisted Multi-Treatment Mixture Cure Survival Model with Application in Pediatric Oncology
Peter Chang, John Kairalla, Arkaprava Roy
Estimating covariate-conditional treatment effects in multi-arm oncology studies is complicated when treatment arms have common distributional features and a non-negligible fractio…
Bayesian Semiparametric Orthogonal Tucker Factorized Mixed Models for Multi-dimensional Longitudinal Functional Data
Arkaprava Roy, Abhra Sarkar
We introduce a novel longitudinal mixed model for analyzing complex multidimensional functional data, addressing challenges such as high-resolution, structural complexities, and co…
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…