2 papers
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…
math.NA2024
Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation
Ian H. Sloan, Vesa Kaarnioja
Convergence rates for approximation in a Hilbert space are a central theme in numerical analysis. The present work is inspired by Schaback (Math. Comp., 1999), who showed…