The Blessing of Randomness: SDE Beats ODE in General Diffusion-based Image Editing. (arXiv:2311.01410v1 [cs.CV])

We present a unified probabilistic formulation for diffusion-based image
editing, where a latent variable is edited in a task-specific manner and
generally deviates from the corresponding marginal distribution induced by the
original stochastic or ordinary differential equation (SDE or ODE). Instead, it
defines a corresponding SDE or ODE for editing. In the formulation, we prove
that the Kullback-Leibler divergence between the marginal distributions of the
two SDEs gradually decreases while that for the ODEs remains as the time
approaches zero, …

arxiv differential differential equation diffusion distribution editing equation general image ordinary randomness stochastic