Stochastic Sample Approximations of (Local) Moduli of Continuity
Rodion Nazarov, Allen Gehret, Robert Shorten, Jakub Marecek
Published: 2025/9/18
Abstract
Modulus of local continuity is used to evaluate the robustness of neural networks and fairness of their repeated uses in closed-loop models. Here, we revisit a connection between generalized derivatives and moduli of local continuity, and present a non-uniform stochastic sample approximation for moduli of local continuity. This is of importance in studying robustness of neural networks and fairness of their repeated uses.