Explicit Lipschitz constants and continuity conditions are derived for feature maps of integral kernels, with closed-form results for Gaussian, ReLU neural network, and Matérn kernels under moment conditions.
Fiedler,Lipschitz and H¨ older Continuity in Reproducing Kernel Hilbert Spaces, arXiv preprint: arXiv:2310.18078, (2023)
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Lipschitz bounds for integral kernels
Explicit Lipschitz constants and continuity conditions are derived for feature maps of integral kernels, with closed-form results for Gaussian, ReLU neural network, and Matérn kernels under moment conditions.