86 citations · 301 across the 37 of their papers we have counts for
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math.NA2023
A randomised lattice rule algorithm with pre-determined generating vector and random number of points for Korobov spaces with
Dirk Nuyens, Laurence Wilkes
In previous work (Kuo, Nuyens, Wilkes, 2023), we showed that a lattice rule with a pre-determined generating vector but random number of points can achieve the near optimal converg…
math.NA2023★ 1 cited
Random-prime--fixed-vector randomised lattice-based algorithm for high-dimensional integration
Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes
We show that a very simple randomised algorithm for numerical integration can produce a near optimal rate of convergence for integrals of functions in the -dimensional weighted…
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…