Stochastic Sample Approximations of (Local) Moduli of Continuity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911163236745216 |
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| author | Nazarov, Rodion Gehret, Allen Shorten, Robert Marecek, Jakub |
| author_facet | Nazarov, Rodion Gehret, Allen Shorten, Robert Marecek, Jakub |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Sample Approximations of (Local) Moduli of Continuity Nazarov, Rodion Gehret, Allen Shorten, Robert Marecek, Jakub Machine Learning 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. |
| title | Stochastic Sample Approximations of (Local) Moduli of Continuity |
| topic | Machine Learning |
| url | https://arxiv.org/abs/2509.15368 |