Ingo Gühring

most citedExpressivity of Deep Neural Networks

18 citations · 18 across the 1 of their papers we have counts for

collaborators

3 papers

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.FA2019

Error bounds for approximations with deep ReLU neural networks in $W^{s, p}$ norms

Ingo Gühring, Gitta Kutyniok, Philipp Petersen

We analyze approximation rates of deep ReLU neural networks for Sobolev-regular functions with respect to weaker Sobolev norms. First, we construct, based on a calculus of ReLU net…

Expressivity of Deep Neural Networks

Approximation Rates for Neural Networks with Encodable Weights in Smoothness Spaces

Error bounds for approximations with deep ReLU neural networks in Ws,p norms

Error bounds for approximations with deep ReLU neural networks in $W^{s, p}$ norms