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math.NA2024
Integral Operator Approaches for Scattered Data Fitting on Spheres
Shao-Bo Lin
This paper focuses on scattered data fitting problems on spheres. We study the approximation performance of a class of weighted spectral filter algorithms, including Tikhonov regul…
math.NA2023
Distributed Uncertainty Quantification of Kernel Interpolation on Spheres
Shao-Bo Lin, Xingping Sun, Di Wang
For radial basis function (RBF) kernel interpolation of scattered data, Schaback in 1995 proved that the attainable approximation error and the condition number of the underlying i…