{"ID":2869541,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.15368","arxiv_id":"2509.15368","title":"Stochastic Sample Approximations of (Local) Moduli of 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.","short_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 continu...","url_abs":"https://arxiv.org/abs/2509.15368","url_pdf":"https://arxiv.org/pdf/2509.15368v1","authors":"[\"Rodion Nazarov\",\"Allen Gehret\",\"Robert Shorten\",\"Jakub Marecek\"]","published":"2025-09-18T19:13:33Z","proceeding":"cs.LG","tasks":"[\"cs.LG\"]","methods":"[]","has_code":false}