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stat.ML2022★ 1 cited
Sobolev Spaces, Kernels and Discrepancies over Hyperspheres
Simon Hubbert, Emilio Porcu, Chris. J. Oates +1
This work provides theoretical foundations for kernel methods in the hyperspherical context. Specifically, we characterise the native spaces (reproducing kernel Hilbert spaces) and…
math.NA2022
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic function
Simon Hubbert, Janin Jäger, Jeremy Levesley
We consider the problem of approximating -periodic functions by convolution with a scaled Gaussian kernel. We start by establishing convergence rates to functions from p…