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math.NA2025
Lattice Rules Meet Kernel Cubature
Vesa Kaarnioja, Ilja Klebanov, Claudia Schillings +1
Rank-1 lattice rules are a class of equally weighted quasi-Monte Carlo methods that achieve essentially linear convergence rates for functions in a reproducing kernel Hilbert space…
math.NA2023★ 2 cited
Transporting Higher-Order Quadrature Rules: Quasi-Monte Carlo Points and Sparse Grids for Mixture Distributions
Ilja Klebanov, T. J. Sullivan
Integration against, and hence sampling from, high-dimensional probability distributions is of essential importance in many application areas and has been an active research area f…