Flow matching can eliminate the need to work with the density, whereas diffusion involves the density, though score transformation can partly avoid that requirement.

“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”