Symmetry in variational inference forces approximate minimizers to recover target statistics under misspecification, unifying prior results and yielding new directional guarantees.
Multi-marginal coupling of Metropolis-Hastings chains via shared-randomness Poisson Monte Carlo improves coalescence rates and reduces meeting times up to 50%.
A spectral framework estimates relative log-densities via closed-form chi-squared least-squares, yielding explicit divergence and potential estimators with convergence guarantees.
Symmetric targets let misspecified variational inference recover exact means and correlations via KL or α-divergences without log-concavity assumptions.
An empirical Bayes rebiasing method learns the bias distribution to recover shorter calibrated intervals from noisy biased estimates, improving precision in LLM evaluations and genetic analysis.