Search Results for author: Sebastian Neumayer

Found 9 papers, 6 papers with code

Wasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces

1 code implementation7 Feb 2024 Sebastian Neumayer, Viktor Stein, Gabriele Steidl, Nicolaj Rux

In this paper, we use the so-called kernel mean embedding to show that the corresponding regularization can be rewritten as the Moreau envelope of some function in the reproducing kernel Hilbert space associated with $K$.

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

2 code implementations21 Aug 2023 Alexis Goujon, Sebastian Neumayer, Michael Unser

We propose to learn non-convex regularizers with a prescribed upper bound on their weak-convexity modulus.

MRI Reconstruction

On the Effect of Initialization: The Scaling Path of 2-Layer Neural Networks

no code implementations31 Mar 2023 Sebastian Neumayer, Lénaïc Chizat, Michael Unser

In supervised learning, the regularization path is sometimes used as a convenient theoretical proxy for the optimization path of gradient descent initialized from zero.

A Neural-Network-Based Convex Regularizer for Inverse Problems

2 code implementations22 Nov 2022 Alexis Goujon, Sebastian Neumayer, Pakshal Bohra, Stanislas Ducotterd, Michael Unser

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality.

Denoising MRI Reconstruction

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

1 code implementation28 Oct 2022 Stanislas Ducotterd, Alexis Goujon, Pakshal Bohra, Dimitris Perdios, Sebastian Neumayer, Michael Unser

Lipschitz-constrained neural networks have several advantages over unconstrained ones and can be applied to a variety of problems, making them a topic of attention in the deep learning community.

Stability of Image-Reconstruction Algorithms

no code implementations14 Jun 2022 Pol del Aguila Pla, Sebastian Neumayer, Michael Unser

Robustness and stability of image-reconstruction algorithms have recently come under scrutiny.

Image Reconstruction

Approximation of Lipschitz Functions using Deep Spline Neural Networks

no code implementations13 Apr 2022 Sebastian Neumayer, Alexis Goujon, Pakshal Bohra, Michael Unser

Lipschitz-constrained neural networks have many applications in machine learning.

Convolutional Proximal Neural Networks and Plug-and-Play Algorithms

1 code implementation4 Nov 2020 Johannes Hertrich, Sebastian Neumayer, Gabriele Steidl

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators.

Denoising

Stabilizing Invertible Neural Networks Using Mixture Models

1 code implementation7 Sep 2020 Paul Hagemann, Sebastian Neumayer

In this paper, we analyze the properties of invertible neural networks, which provide a way of solving inverse problems.

Cannot find the paper you are looking for? You can Submit a new open access paper.