# Generic variance reduction in Monte Carlo samplers

August 25, 2022 — August 25, 2022

Bayes

estimator distribution

Markov processes

Monte Carlo

probabilistic algorithms

probability

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

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

## 1 Sample diversity

## 2 Rao-Blackwellization

TBD

## 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.”