Global Well-posedness and Convergence Analysis of Score-based Generative Models via Sharp Lipschitz Estimates

no code implementations • 25 May 2024 • Connor Mooney, Zhongjian Wang, Jack Xin, Yifeng Yu

For the non-smooth case, we show that the optimal Lipschitz bound is O(1/t) in the point-wise sense for distributions supported on a compact, smooth and low-dimensional manifold with boundary.

A proof by foliation that Lawson's cones are $A_Φ$-minimizing

no code implementations • 16 Feb 2021 • Connor Mooney, Yang Yang

We also analyze the behavior at infinity of the leaves in the foliations.

Analysis of PDEs Differential Geometry