Nazarov, Rodion

1paper

1 Paper

7.1LGSep 18, 2025
Stochastic Sample Approximations of (Local) Moduli of Continuity

Rodion Nazarov, Allen Gehret, Robert Shorten et al.

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.