6 citations · 19 across the 22 of their papers we have counts for
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The universal approximation theorem for complex-valued neural networks
Felix Voigtlaender
We generalize the classical universal approximation theorem for neural networks to the case of complex-valued neural networks. Precisely, we consider feedforward networks with a co…
Neural network approximation and estimation of classifiers with classification boundary in a Barron class
Andrei Caragea, Philipp Petersen, Felix Voigtlaender
We prove bounds for the approximation and estimation of certain binary classification functions using ReLU neural networks. Our estimation bounds provide a priori performance guara…
Phase Transitions in Rate Distortion Theory and Deep Learning
Philipp Grohs, Andreas Klotz, Felix Voigtlaender
Rate distortion theory is concerned with optimally encoding a given signal class using a budget of bits, as . We say that can be compres…
Schur-type Banach modules of integral kernels acting on mixed-norm Lebesgue spaces
Nicki Holighaus, Felix Voigtlaender
Schur's test states that if satisfies and , then the associated integral operator acts boundedly…
On dual molecules and convolution-dominated operators
José Luis Romero, Jordy Timo van Velthoven, Felix Voigtlaender
We show that sampling or interpolation formulas in reproducing kernel Hilbert spaces can be obtained by reproducing kernels whose dual systems form molecules, ensuring that the siz…