Author

Frances Y. Kuo

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Preprint Oct 2026

A higher order lattice-based method for high-dimensional numerical integration using periodization

We present a novel numerical integration method for non-periodic functions over the high-dimensional unit cube $[0,1]^s$ by a specially crafted (unequally-)weighted quadrature rule using transformed lattice points, with the additional option of subsampling. The method is designed for integrands whose mixed derivatives...

Felix Bartel, Alexander D. Gilbert, Michael Griebel et al. · 0 citations

Multifidelity Quasi-Monte Carlo Methods

A model selection algorithm using pilot samples to choose a combination of models which minimizes the theoretical error bound and total cost, based on the theoretically derived optimal sample size for each model in the multifidelity ensemble is proposed.

Nicole Aretz, M. Giles, Frances Y. Kuo et al. · 0 citations