18 citations · 27 across the 6 of their papers we have counts for
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cs.LG2020★ 18 cited
Expressivity of Deep Neural Networks
Ingo Gühring, Mones Raslan, Gitta Kutyniok
In this review paper, we give a comprehensive overview of the large variety of approximation results for neural networks. Approximation rates for classical function spaces as well…
math.FA2020
Approximation Rates for Neural Networks with Encodable Weights in Smoothness Spaces
Ingo Gühring, Mones Raslan
We examine the necessary and sufficient complexity of neural networks to approximate functions from different smoothness spaces under the restriction of encodable network weights.…
math.NA2020
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks
Moritz Geist, Philipp Petersen, Mones Raslan +2
We perform a comprehensive numerical study of the effect of approximation-theoretical results for neural networks on practical learning problems in the context of numerical analysi…