Alexander Falk

collaborators

5 papers

math.ST2026

Time-Inhomogeneous Preconditioned Langevin Dynamics

Alexander Falk, Laurenz Nagler, Andreas Habring +1

Langevin sampling from distributions of the form $p (x) \propto exp (- I^¨ (x))$ faces two major challenges: (global) mode coverage and (local) mode exploration. The first challenge is…

math.OC2025

Diffusion at Absolute Zero: Langevin Sampling using Successive Moreau Envelopes [journal paper]

Andreas Habring, Alexander Falk, Martin Zach +1

We propose a method for sampling from Gibbs distributions of the form $I ¨ (x) \propto exp (- U (x))$ by considering a family $(I ¨ ^{t})_{t}$ of approximations of the target density which i…

math.NA2025

An Inertial Langevin Algorithm

Alexander Falk, Andreas Habring, Christoph Griesbacher +1

We present a novel method for drawing samples from Gibbs distributions with densities of the form $I ¨ (x) \propto exp (- U (x))$ . The method accelerates the unadjusted Langevin algori…

math.OC2025

Diffusion at Absolute Zero: Langevin Sampling Using Successive Moreau Envelopes [conference paper]

Andreas Habring, Alexander Falk, Thomas Pock

In this article we propose a novel method for sampling from Gibbs distributions of the form $I ¨ (x) \propto exp (- U (x))$ with a potential $U (x)$ . In particular, inspired by diffusion…

cs.CV2025

FlowSDF: Flow Matching for Medical Image Segmentation Using Distance Transforms

Lea Bogensperger, Dominik Narnhofer, Alexander Falk +2

Medical image segmentation plays an important role in accurately identifying and isolating regions of interest within medical images. Generative approaches are particularly effecti…