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P. Dellaportas

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#machine learning Preprint Oct 2026

Transformed Samplers with Variance Reduction

Markov chain Monte Carlo (MCMC) methods are the standard tool for computing expectations under complex probability distributions. Control variates reduce the variance of the resulting estimates, but a good control variate requires solving the Poisson equation of the sampler, which rarely admits a closed-form solution....

Si-Ran Liu, Michalis Tisias, P. Dellaportas · 0 citations
#machine learning Preprint Jun 2024

Variance Reduction for Independent Metropolis

Assume that we would like to estimate the expected value of a function $F$ with respect to an intractable density $\pi$, which is specified up to some unknown normalising constant. We prove that if $\pi$ is close enough under KL divergence to another density $q$, an independent Metropolis sampler estimator that obtains...

Siran Liu, P. Dellaportas, Michalis K. Titsias · 1 citation

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