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20212026
most citedPosterior-Variance-Based Error Quantification for Inverse Problems in Imaging

1 citations · 3 across the 18 of their papers we have counts for

collaborators

19 papers

math.PR2026

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…

math.OC2026

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…

cs.LG2026

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…

math.ST2026

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…

math.NA2026

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…

math.OC2025

On the Time Derivative of the KL Divergence for a Generalized Langevin Annealing Scheme

Andreas Habring

Consider the Langevin diffusion process guided by the time-dependent probability density . Let be the…

math.OC2025

Computation of a Consistent System Matrix for Cone-beam Computed Tomography

Josef Simbrunner, Clemens Krenn, Martin Zach +1

We propose a method for the computation of a consistent system matrix for two- and three-dimensional cone-beam computed tomography (CT). The method relies on the decomposition of t…

math.NA2025

Accelerated Sampling with the Inertial Langevin Algorithm

Alexander Falk, Andreas Habring, Christoph Griesbacher +1

We consider the \emph{inertial Langevin algorithm} (ILA), a simple momentum-based method for sampling from Gibbs distributions of the form . ILA augments…

eess.IV2025

Energy-based models for inverse imaging problems

Andreas Habring, Martin Holler, Thomas Pock +1

In this chapter we provide a thorough overview of the use of energy-based models (EBMs) in the context of inverse imaging problems. EBMs are probability distributions modeled via G…

eess.IV2025

The Gaussian Latent Machine: Efficient Prior and Posterior Sampling for Inverse Problems

Muhamed Kuric, Martin Zach, Andreas Habring +2

We consider the problem of sampling from a product-of-experts-type model that encompasses many standard prior and posterior distributions commonly found in Bayesian imaging. We sho…

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 with a potential . In particular, inspired by diffusion m…

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 by considering a family of approximations of the target density which is…

math.NA2024★ 1 cited

Ergodicity of Langevin Dynamics and its Discretizations for Non-smooth Potentials

Lorenz Fruehwirth, Andreas Habring

This article is concerned with sampling from Gibbs distributions using Markov chain Monte Carlo methods. In particular, we investigate Langevin dynamics in…

math.OC2023

Neural-network-based regularization methods for inverse problems in imaging

Andreas Habring, Martin Holler

This review provides an introduction to - and overview of - the current state of the art in neural-network based regularization methods for inverse problems in imaging. It aims to…

math.OC2023★ 1 cited

Subgradient Langevin Methods for Sampling from Non-smooth Potentials

Andreas Habring, Martin Holler, Thomas Pock

This paper is concerned with sampling from probability distributions on admitting a density of the form , where with $K…

cs.CV2022★ 1 cited

Posterior-Variance-Based Error Quantification for Inverse Problems in Imaging

Dominik Narnhofer, Andreas Habring, Martin Holler +1

In this work, a method for obtaining pixel-wise error bounds in Bayesian regularization of inverse imaging problems is introduced. The proposed method employs estimates of the post…

math.OC2022

Unsupervised energy disaggregation via convolutional sparse coding

Christian Aarset, Andreas Habring, Martin Holler +1

In this work, a method for unsupervised energy disaggregation in private households equipped with smart meters is proposed. This method aims to classify power consumption as active…

cs.CV2022

A Note on the Regularity of Images Generated by Convolutional Neural Networks

Andreas Habring, Martin Holler

The regularity of images generated by convolutional neural networks, such as the U-net, generative networks, or the deep image prior, is analyzed. In a resolution-independent, infi…

math.OC2021

A Generative Variational Model for Inverse Problems in Imaging

Andreas Habring, Martin Holler

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed mo…