Search Results for author: Karl Schrader

Found 7 papers, 0 papers with code

Anisotropic Diffusion Stencils: From Simple Derivations over Stability Estimates to ResNet Implementations

no code implementations11 Sep 2023 Karl Schrader, Joachim Weickert, Michael Krause

Our directional splitting also allows a very natural translation of the explicit scheme into ResNet blocks.

CNN-based Euler's Elastica Inpainting with Deep Energy and Deep Image Prior

no code implementations16 Jul 2022 Karl Schrader, Tobias Alt, Joachim Weickert, Michael Ertel

As a remedy, we design the first neural algorithm that simulates inpainting with Euler's Elastica.

Image Inpainting

Designing Rotationally Invariant Neural Networks from PDEs and Variational Methods

no code implementations31 Aug 2021 Tobias Alt, Karl Schrader, Joachim Weickert, Pascal Peter, Matthias Augustin

With only a few small filters, they can achieve the same invariance as existing techniques which require a fine-grained sampling of orientations.

Novel Concepts

Connections between Numerical Algorithms for PDEs and Neural Networks

no code implementations30 Jul 2021 Tobias Alt, Karl Schrader, Matthias Augustin, Pascal Peter, Joachim Weickert

We connect these concepts to residual networks, recurrent neural networks, and U-net architectures.

Translating Numerical Concepts for PDEs into Neural Architectures

no code implementations29 Mar 2021 Tobias Alt, Pascal Peter, Joachim Weickert, Karl Schrader

We investigate what can be learned from translating numerical algorithms into neural networks.

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