3 citations · 6 across the 5 of their papers we have counts for
6 papers
Neural Feature Geometry Evolves as Discrete Ricci Flow
Moritz Hehl, Max von Renesse, Melanie Weber
Deep neural networks learn feature representations via complex geometric transformations of the input data manifold. Despite the models' empirical success across domains, our under…
Molecules as metric measure spaces with Kato-bounded Ricci curvature
Batu Güneysu, Max von Renesse
Set , with the ground state of an arbitrary molecule with electrons in the infinite mass limit (neglecting spin/statistics). Let $Σ\subset \IR^{3…
Dean-Kawasaki Dynamics: Ill-posedness vs. Triviality
Tobias Lehmann, Vitalii Konarovskyi, Max-K. von Renesse
We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case the solution is given in terms of non-interacting particles.
Regularity Properties for a System of Interacting Bessel Processes
Sebastian Andres, Max-K. von Renesse
We study the regularity of a diffusion on a simplex with singular drift and reflecting boundary condition which describes a finite system of particles on an interval with Coulomb i…
Evolution by mean curvature in sub-Riemannian geometries: A stochastic approach
Nicolas Dirr, Federica Dragoni, Max von Renesse
We study the phenomenon of evolution by horizontal mean curvature flow in sub-Riemannian geometries. We use a stochastic approach to prove the existence of a generalized evolution…
Particle Approximation of the Wasserstein Diffusion
Sebastian Andres, Max-K. von Renesse
We construct a system of interacting two-sided Bessel processes on the unit interval and show that the associated empirical measure process converges to the Wasserstein Diffusion,…