Showing 2025Show all
2 papers · 1 filter
math.FA2025
Does the Barron space really defy the curse of dimensionality?
Olov Schavemaker
The Barron space has become famous in the theory of (shallow) neural networks because it seemingly defies the curse of dimensionality. And while the Barron space (and generalizatio…
math.PR2025
Separating balls with partly random hyperplanes with a view to partly random neural networks
Olov Schavemaker
We derive exact expressions for the probabilities that partly random hyperplanes separate two Euclidean balls. The probability that a fully random hyperplane separates two balls tu…