3 papers
cs.LG2026
Limitations of Learning Tanh Neural Networks with Finite Precision
Philipp Grohs, MatÄj Trödler
We investigate limitations of learning neural networks from point evaluations under finite-precision computations and accuracy guarantees, building on Berner, Grohs,…
math.CO2025
Lower bounds on the minimal dispersion of point sets via cover-free families
MatÄj Trödler, Jan Volec, Jan VybÃral
We elaborate on the intimate connection between the largest volume of an empty axis-parallel box in a set of points from and cover-free families from the extremal set…
math.NA2024
A tight lower bound on the minimal dispersion
MatÄj Trödler, Jan Volec, Jan VybÃral
We give a new lower bound for the minimal dispersion of a point set in the unit cube and its inverse function in the high dimension regime. This is done by considering only a very…