activity
20182021
most citedAnalysis of Invariance and Robustness via Invertibility of ReLU-Networks

7 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2021

Regularized Orthogonal Nonnegative Matrix Factorization and -means Clustering

Pascal Fernsel, Peter Maass

In this work, we focus on connections between -means clustering approaches and Orthogonal Nonnegative Matrix Factorization (ONMF) methods. We present a novel framework to extrac…

math.NA2021

Spatially Coherent Clustering Based on Orthogonal Nonnegative Matrix Factorization

Pascal Fernsel

Classical approaches in cluster analysis are typically based on a feature space analysis. However, many applications lead to datasets with additional spatial information and a grou…

math.NA2020

Joint Reconstruction and Low-Rank Decomposition for Dynamic Inverse Problems

Simon Arridge, Pascal Fernsel, Andreas Hauptmann

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where th…

cs.LG2018★ 1 cited

A Survey on Surrogate Approaches to Non-negative Matrix Factorization

Pascal Fernsel, Peter Maass

Motivated by applications in hyperspectral imaging we investigate methods for approximating a high-dimensional non-negative matrix by a product of two lower-d…

cs.LG2018★ 7 cited

Analysis of Invariance and Robustness via Invertibility of ReLU-Networks

Jens Behrmann, Sören Dittmer, Pascal Fernsel +1

Studying the invertibility of deep neural networks (DNNs) provides a principled approach to better understand the behavior of these powerful models. Despite being a promising diagn…