Melanie Weber

collaborators

2 papers

math.DG2024

Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Nicolas Garcia Trillos, Melanie Weber

Let $M$ denote a low-dimensional manifold embedded in Euclidean space and let $X = {x_{1}, \dots, x_{n}}$ be a collection of points uniformly sampled from it. We study the relatio…

math.OC2024

Computing Brascamp-Lieb Constants through the lens of Thompson Geometry

Melanie Weber, Suvrit Sra

This paper studies algorithms for efficiently computing Brascamp-Lieb constants, a task that has recently received much interest. In particular, we reduce the computation to a nonl…