1 code implementation • 2 Apr 2023 • Samira Kabri, Tim Roith, Daniel Tenbrinck, Martin Burger
In this paper we investigate the use of Fourier Neural Operators (FNOs) for image classification in comparison to standard Convolutional Neural Networks (CNNs).
1 code implementation • 4 Jun 2021 • Leon Bungert, Tim Roith, Daniel Tenbrinck, Martin Burger
We propose a novel strategy for Neural Architecture Search (NAS) based on Bregman iterations.
1 code implementation • 10 May 2021 • Leon Bungert, Tim Roith, Daniel Tenbrinck, Martin Burger
In contrast to established methods for sparse training the proposed family of algorithms constitutes a regrowth strategy for neural networks that is solely optimization-based without additional heuristics.
Ranked #164 on Image Classification on CIFAR-10
1 code implementation • 23 Mar 2021 • Leon Bungert, René Raab, Tim Roith, Leo Schwinn, Daniel Tenbrinck
Despite the large success of deep neural networks (DNN) in recent years, most neural networks still lack mathematical guarantees in terms of stability.
1 code implementation • 24 Feb 2021 • Leo Schwinn, An Nguyen, René Raab, Leon Bungert, Daniel Tenbrinck, Dario Zanca, Martin Burger, Bjoern Eskofier
The susceptibility of deep neural networks to untrustworthy predictions, including out-of-distribution (OOD) data and adversarial examples, still prevent their widespread use in safety-critical applications.
no code implementations • 5 Nov 2020 • Leo Schwinn, An Nguyen, René Raab, Dario Zanca, Bjoern Eskofier, Daniel Tenbrinck, Martin Burger
We empirically show that by incorporating this nonlocal gradient information, we are able to give a more accurate estimation of the global descent direction on noisy and non-convex loss surfaces.
no code implementations • 7 Mar 2019 • Daniel Tenbrinck, Fjedor Gaede, Martin Burger
In this paper we propose a variational method defined on finite weighted graphs, which allows to sparsify a given 3D point cloud while giving the flexibility to control the appearance of the resulting approximation based on the chosen regularization functional.
Numerical Analysis Discrete Mathematics Data Structures and Algorithms Optimization and Control
no code implementations • 27 Feb 2019 • Leon Bungert, Martin Burger, Daniel Tenbrinck
In this work we investigate the computation of nonlinear eigenfunctions via the extinction profiles of gradient flows.