Lipschitz bounds for integral kernels
Feature maps associated with positive definite kernels play a central role in kernel methods and learning theory, where regularity properties such as Lipschitz continuity are closely related to robustness and stability guarantees. Despite their importance, explicit characterizations of the Lipschitz constant of kernel feature maps are available only in a limited number of cases. In this paper, we study the Lipschitz regularity of feature maps associated with integral kernels under differentiability assumptions. We first provide sufficient conditions ensuring Lipschitz continuity and derive explicit formulas for the corresponding Lipschitz constants. We then identify a condition under whic...
| Authors | Justin Reverdi, Sixin Zhang, Fabrice Gamboa et al. |
|---|---|
| Primary category | stat.ML |
| Published | 3 April 2026 |
| Last updated at source | 3 April 2026 |
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