4 papers
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…
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…
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…
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…