2 papers
math.ST2025
Analysis of Diffusion Models for Manifold Data
Anand Jerry George, Rodrigo Veiga, Nicolas Macris
We analyze the time reversed dynamics of generative diffusion models. If the exact empirical score function is used in a regime of large dimension and exponentially large number of…
cs.LG2025
Sampling in High-Dimensions using Stochastic Interpolants and Forward-Backward Stochastic Differential Equations
Anand Jerry George, Nicolas Macris
We present a class of diffusion-based algorithms to draw samples from high-dimensional probability distributions given their unnormalized densities. Ideally, our methods can transp…