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math.ST2026
Statistical Inference for Privatized Data with Unknown Sample Size
Jordan Awan, Andres Felipe Barrientos, Nianqiao Ju
We develop both theory and algorithms to analyze privatized data in unbounded differential privacy (DP), where even the sample size is considered a sensitive quantity that requires…
math.ST2025
Spectral gap bounds for reversible hybrid Gibbs chains
Qian Qin, Nianqiao Ju, Guanyang Wang
Hybrid Gibbs samplers represent a prominent class of approximated Gibbs algorithms that utilize Markov chains to approximate conditional distributions, with the Metropolis-within-G…