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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Vineyards from topological data analysis, checked with proposed statistical tests, visualize the evolution of local hotspots in Ohio’s overdose epidemic over time.
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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.
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Visualizing Local Maxima of the Ohio overdose epidemic with Vineyards
Vineyards from topological data analysis, checked with proposed statistical tests, visualize the evolution of local hotspots in Ohio’s overdose epidemic over time.