MCMC

SOMA: A Novel Sampler for Bayesian Inference from Privatized Data

Making valid statistical inferences from privatized data is a key challenge in modern analysis. In Bayesian settings, data augmentation MCMC (DAMCMC) methods impute unobserved …

yifei-xiong

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 …

qian-qin

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 …

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Nianqiao Phyllis Ju

Data Augmentation MCMC for Bayesian Inference from Privatized Data

Differentially private mechanisms protect privacy by introducing additional randomness into the data. Restricting access to only the privatized data makes it challenging to perform …

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Nianqiao Phyllis Ju

A simple Markov chain for independent Bernoulli variables conditioned on their sum

We consider a vector of $N$ independent binary variables, each with a different probability of success. The distribution of the vector conditional on its sum is known as the …

jeremy-heng