Title: Stochastic Sample Approximations of (Local) Moduli of Continuity
Primary area: learning theory
Keywords: stochastic sample approximation, moduli of local continuity

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.

TL;DR: We present a non-uniform stochastic sample approximation for moduli of local continuity.