3 papers
math.NA2023
Comparison of Two Search Criteria for Lattice-based Kernel Approximation
Frances Y. Kuo, Weiwen Mo, Dirk Nuyens +2
The kernel interpolant in a reproducing kernel Hilbert space is optimal in the worst-case sense among all approximations of a function using the same set of function values. In thi…
math.NA2022
Needlets Liberated
Johann S. Brauchart, Peter J. Grabner, Ian H. Sloan +1
Spherical needlets were introduced by Narcowich, Petrushev, and Ward to provide a multiresolution sequence of polynomial approximations to functions on the sphere. The needlet cons…
math.NA2021
Preintegration is not smoothing when monotonicity fails
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Preintegration is a technique for high-dimensional integration over -dimensional Euclidean space, which is designed to reduce an integral whose integrand contains kinks or jumps…