# $\mathbb{P}$robably Approximately Wrong

## Recent posts

Feb 23, 2023
Why do sampling and estimating the normalizing constant avoid each other? We want to get samples from $p(\mathbf{x})$, exactly or approximately. Except for some cases (and for inverse transform sampling), in general, it does not matter at all whether we know the normalizing constant of $p$, i.…
Nov 8, 2022
Simple Monte Carlo is independent of dimension. Or is it ? * IMPORTANT NOTE: there was a bug in the original example, thanks to Philipp Hennig for pointing it out. I show a (much) simpler one below also (when the test function is the product of coordinates) *…
May 26, 2022
Combining independent and unbiased estimators I came across this 1.25 page paper by Don Rubin and Sanford Weisberg (Rubin & Weisberg) in Biometrika from 1975.…
Feb 6, 2020
Sequential Monte Carlo and Improved Auxiliary Particle Filters In this post, my aims are: Introduce Bayesian inference in state space models Introduce approximate inference using importance sampling, in state space models.…