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arXiv · 2509.15368

Stochastic Sample Approximations of (Local) Moduli of Continuity

Rodion Nazarov·Allen Gehret·Robert Shorten·Jakub Marecek
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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.

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Rodion Nazarov, Allen Gehret, Robert Shorten, Jakub Marecek. 2025-09-18. Stochastic Sample Approximations of (Local) Moduli of Continuity. https://arxiv.org/abs/2509.15368

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