In diffusion, the vector field depends on the process's current state.

“So, uh effectively what we now have is we have the like the the self coupling which originally in the dif in like a flow measure we can get rid of. We can completely get rid of ever needing to touch the density. While in flow measureing, uh while in diffusion you end up having to touch the density, of course there's this trick with like the the score transformation which means you kind of get around this. But ultimately the the vector field now depends on the”

“Um it now depends on the current state of our diffusion. The nice part about this is that the like diffusion style has some pretty nice properties, specifically that it's uh kind of minimising the uh uh the the relative entropy so the K_L_ divergence between like your your target density and your your your current density.”