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Annealed Underdamped Langevin Dynamics
Laurenz Nagler, Alexander Falk, Andreas Habring
In sampling, different flavours of annealing, tempering, or other successive approximation approaches are widely used and studied. In this work we investigate annealed underdamped…
Lecture Notes: Convex Optimization
Andreas Habring
Lecture notes for a course on convex optimization taught by Andreas Habring at Graz University of Technology in 2026. The notes cover mathematical preliminaries, fundamental result…
Generating Physically Consistent Molecules with Energy-Based Models
Christoph Griesbacher, Lea Bogensperger, Andreas Habring +1
Molecules in equilibrium follow a Boltzmann distribution, making the underlying energy landscape a physically grounded modeling objective. However, such landscapes are difficult to…
Time-Inhomogeneous Preconditioned Langevin Dynamics
Alexander Falk, Laurenz Nagler, Andreas Habring +1
Langevin sampling from distributions of the form faces two major challenges: (global) mode coverage and (local) mode exploration. The first challenge is…
Forward-KL Convergence of Time-Inhomogeneous Langevin Diffusions
Andreas Habring, Martin Zach
Many practical samplers rely on time-dependent drifts -- often induced by annealing or tempering schedules -- to improve exploration and stability. This motivates a unified non-asy…