In this supplementary we include three files in the GIF format generated from our WJS chains: 

 - All are obtained from our 4x8 model on FFHQ-256 dataset.
 - A total of 2000 steps of Algorithm 1 or 2 were taken in each example below.
 - The chains in each file are initialized at a random point (no warmup). 
 - They are intended to visualize how fast MCMC mixes.
 - They also demonstrate the robustness of Langevin MCMC with regards to the parameters (delta, gamma, u). 

A short description for each files are given below:

**A1-1p5-0p5-1.gif**: Algorithm 1 with the setting (1.5, 0.5, 1). 
*Only 2 walk-jump sampling steps were taken for each frame.*


**A2-2-1-1.gif**: Algorithm 2 with the setting (2, 1, 1); 10 steps were taken for each frame.

**A2-4-0p5-0p25.gif**: Algorithm 2 with the setting (4, 0.5, 0.25); 10 steps were taken for each frame.
