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Submitted Papers
| Title |
|---|
| I. Gühring, M. Raslan, G. Kutyniok Expressivity of Deep Neural Networks, 2020 This review paper will appear as a book chapter in the book “Theory of Deep Learning” by Cambridge University Press. |
| M. Geist, P. Petersen, M. Raslan, R. Schneider, G. Kutyniok Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks, 2020 |
Refereed Publications
I. Gühring, M. Raslan Approximation Rates for Neural Networks with Encodable Weights in Smoothness Spaces, accepted for publication in Neural Networks (2020) |
G. Kutyniok, P. Petersen, M. Raslan, R. Schneider A Theoretical Analysis of Deep Neural Networks and Parametric PDEs, accepted for publication in Constructive Approximation (2020) |
| P. Petersen, M. Raslan, F. Voigtländer Topological Properties of the set of functions generated by neural networks of fixed size, Foundations of Computational Mathematics, Online First, (2020) |
| P. Grohs, G. Kutyniok, J. Ma, P. Petersen, M. Raslan Anisotropic multiscale systems on bounded domains, Advances in Computational Mathematics 46, 39 (2020) |
| P. Petersen, M. Raslan Approximation properties of shearlet frames for Sobolev Spaces, Advances in Computational Mathematics 45, 1581-1606 (2019) |
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