34 citations · 38 across the 5 of their papers we have counts for
5 papers
Kernel Interpolation of High Dimensional Scattered Data
Shao-Bo Lin, Xiangyu Chang, Xingping Sun
Data sites selected from modeling high-dimensional problems often appear scattered in non-paternalistic ways. Except for sporadic clustering at some spots, they become relatively f…
Optimal order Jackson type inequality for scaled Shepard approximation
Steven Senger, Xingping Sun, Zongmin Wun
We study a variation of the Shepard approximation scheme by introducing a dilation factor into the base function, which synchronizes with the Hausdorff distance between the data se…
Approximation of exponential-type functions on a uniform grid by shifts of a basis function
Alexander Kushpel, Jeremy Levesley, Xingping Sun
In this paper, we study the problem of interpolating a continuous function at equally-spaced points in the interval , using shifts of a kernel on the -spaced…
Model selection of polynomial kernel regression
Shaobo Lin, Xingping Sun, Zongben Xu +1
Polynomial kernel regression is one of the standard and state-of-the-art learning strategies. However, as is well known, the choices of the degree of polynomial kernel and the regu…
Kernel Approximation on Manifolds II: The -norm of the -projector
Thomas Hangelbroek, Fran J Narcowich, Xingping Sun +1
This article addresses two topics of significant mathematical and practical interest in the theory of kernel approximation: the existence of local and stable bases and the L_p--bou…