Generic variance reduction in Monte Carlo samplers

August 25, 2022 — August 25, 2022

estimator distribution
Markov processes
Monte Carlo
probabilistic algorithms
Figure 1

Is it meaningful to talk about “generic” Monte Carlo variance reduction strategies? Let us create this notebook and see if accretes some references.

For now there are a couple of links about optimal sample diversity. There are other strategies available, such as Rao-Blackwellisation.

1 Sample diversity

2 Rao-Blackwellisation


3 References

Mariet. 2016. Learning and enforcing diversity with Determinantal Point Processes.”
Roberts, and Rosenthal. 2014. Minimising MCMC Variance via Diffusion Limits, with an Application to Simulated Tempering.” Annals of Applied Probability.
Sheikh, Phielipp, and Boloni. 2022. “Maximizing Ensemble Diversity in Deep Reinforcement Learning.”