Quantitative spectral gap estimate and Wasserstein contraction of simple slice sampling

03/09/2019
by   Viacheslav Natarovskii, et al.
0

We prove Wasserstein contraction of simple slice sampling for approximate sampling w.r.t. distributions with log-concave and rotational invariant Lebesgue densities. This yields, in particular, an explicit quantitative lower bound of the spectral gap of simple slice sampling. Moreover, this lower bound carries over to more general target distributions depending only on the volume of the (super-)level sets of their unnormalized density.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset