2 papers
math.AP2025
Serrin's overdetermined problem in rough domains
Alessio Figalli, Yi Ru-Ya Zhang
The classical Serrin's overdetermined theorem states that a bounded domain, which admits a function with constant Laplacian that satisfies both constant Dirichlet and Neumann…
stat.ML2025
A Two-Scale Complexity Measure for Deep Learning Models
Massimiliano Datres, Gian Paolo Leonardi, Alessio Figalli +1
We introduce a novel capacity measure 2sED for statistical models based on the effective dimension. The new quantity provably bounds the generalization error under mild assumptions…