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20122026
most citedHigher order QMC Galerkin discretization for parametric operator equations

86 citations · 242 across the 30 of their papers we have counts for

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math.NA2026

Fourier Neural Operators with rank-1 lattice points and hyperbolic cross

Jakob Dilen, Alexander Keller, Frances Y. Kuo +1

The \emph{Fourier neural operator} (FNO) is a neural network architecture that learns mappings between function spaces. Its efficient implementation is based on the multi-dimension…

cs.LG2026

Lattice-based Deep Neural Networks: Regularity and Tailored Regularization

Alexander Keller, Frances Y. Kuo, Dirk Nuyens +1

This survey article is concerned with the application of lattice rules to Deep Neural Networks (DNNs), lattice rules being a family of quasi-Monte Carlo methods. They have demonstr…