MCMC

SOMA: a novel sampler for exchangeable variables

The problem of sampling exchangeable random variables arises in many Bayesian inference tasks, especially in data imputation given a privatized summary statistics. These permutation-invariant joint distributions often have dependency structures that …

Spectral gap bounds for reversible hybrid Gibbs chains

Hybrid Gibbs samplers represent a prominent class of approximated Gibbs algorithms that utilize Markov chains to approximate conditional distributions, with the Metropolis-within-Gibbs algorithm standing out as a well-known example. Despite their …

Data Augmentation MCMC: connections to privacy and advances in convergence analysis

SOMA: a novel sampler for exchangeable variables

SNP-Slice: A Bayesian nonparametric framework to resolve SNP haplotypes in mixed infections

Multi-strain infection is a common yet under-investigated phenomenon of many pathogens. Currently,biologists analyzing SNP information have to discard mixed infection samples,because existing downstream analyses require monogenomic infection …