Diffusion requires modeling time as an additional variable because latent states at different time points have different densities.

“This makes your p uh this has one big difficulty, namely now you actually need to model uh effectively time. Because you effectively what you know saying is we have latency, like the latent at time step zero point five.”

“So and of course if you go down to the latent ed point at time point zero point six, you end up kind of having effectively a different density. So now we have this time dimension as an additional variable. So this is what you pay for. But in general this is much much cheaper still than uh needing to do like the actual M_C_M_C_ process because now you just you follow essentially a density so with like the randomised uh like i you randomly”