3 citations · 3 across the 4 of their papers we have counts for
4 papers
Higher-order derivatives of radially symmetric functions
Zdeněk Mihula, Jan Vybíral
We prove a surprisingly simple pointwise formula for the Frobenius norm of the tensor of -th order partial derivatives of a radially symmetric function . Using the…
Bases of Lebesgue spaces formed by neural networks
Vladimir Kulbatov, Jan Lang, Cornelia Schneider +1
The seminal work of Daubechies, DeVore, Foucart, Hanin, and Petrova introduced in 2022 a sequence of univariate piece-wise linear functions, which resemble the classical Fourier ba…
Entropy numbers of finite-dimensional Lorentz space embeddings
Joscha Prochno, Mathias Sonnleitner, Jan Vybíral
The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy number…
A multivariate Riesz basis of ReLU neural networks
Cornelia Schneider, Jan Vybíral
We consider the trigonometric-like system of piecewise linear functions introduced recently by Daubechies, DeVore, Foucart, Hanin, and Petrova. We provide an alternative proof that…