activity
20162023
most citedHigher-order total variation approaches and generalisations

45 citations · 166 across the 20 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

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…

math.OC2022★ 1 cited

Exact reconstruction and reconstruction from noisy data with anisotropic total variation

Martin Holler, Benedikt Wirth

It is well-known that point sources with sufficient mutual distance can be reconstructed exactly from finitely many Fourier measurements by solving a convex optimization problem wi…

eess.IV2022

Latent-space disentanglement with untrained generator networks for the isolation of different motion types in video data

Abdullah Abdullah, Martin Holler, Karl Kunisch +1

Isolating different types of motion in video data is a highly relevant problem in video analysis. Applications can be found, for example, in dynamic medical or biological imaging,…

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.OC2022★ 14 cited

Learning-informed parameter identification in nonlinear time-dependent PDEs

Christian Aarset, Martin Holler, Tram Thi Ngoc Nguyen

We introduce and analyze a method of learning-informed parameter identification for partial differential equations (PDEs) in an all-at-once framework. The underlying PDE model is f…

physics.med-ph2022

Fast and memory-efficient reconstruction of sparse Poisson data in listmode with non-smooth priors with application to time-of-flight PET

Georg Schramm, Martin Holler

Complete time of flight (TOF) sinograms of state-of-the-art TOF PET scanners have a large memory footprint. Currently, they contain ~4e9 data bins which amount to ~17GB in 32bit fl…