3 papers
stat.ML2025
Simultaneous Optimization of Geodesics and Fréchet Means
Frederik Möbius Rygaard, Søren Hauberg, Steen Markvorsen
A central part of geometric statistics is to compute the Fréchet mean. This is a well-known intrinsic mean on a Riemannian manifold that minimizes the sum of squared Riemannian dis…
cs.LG2025
A Likely Geometry of Generative Models
Frederik Möbius Rygaard, Shen Zhu, Yinzhu Jin +2
The geometry of generative models serves as the basis for interpolation, model inspection, and more. Unfortunately, most generative models lack a principal notion of geometry witho…
stat.OT2025
Score Matching Riemannian Diffusion Means
Frederik Möbius Rygaard, Steen Markvorsen, Søren Hauberg +1
Estimating means on Riemannian manifolds is generally computationally expensive because the Riemannian distance function is not known in closed-form for most manifolds. To overcome…