14 citations · 33 across the 8 of their papers we have counts for
3 papers · 1 filter
Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators
Sven Dummer, Tjeerd Jan Heeringa, José A. Iglesias
Recently, there has been growing interest in characterizing the function spaces underlying neural networks. While shallow and deep scalar-valued neural networks have been linked to…
RONOM: Reduced-Order Neural Operator Modeling
Sven Dummer, Dongwei Ye, Christoph Brune
Time-dependent partial differential equations are ubiquitous in physics-based modeling, but they remain computationally intensive in many-query scenarios, such as real-time forecas…
Joint Manifold Learning and Optimal Transport for Dynamic Imaging
Sven Dummer, Puru Vaish, Christoph Brune
Dynamic imaging is critical for understanding and visualizing dynamic biological processes in medicine and cell biology. These applications often encounter the challenge of a limit…