Space-filling designs on Riemannian manifolds

Cites Work

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Exploratory designs for computational experiments
Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\)
A central limit theorem for general orthogonal array based space-filling designs
Maximin design on non hypercube domains and kernel interpolation
Asymptotic distribution and weak convergence on compact Riemannian manifolds
A multivariate central limit theorem for randomized orthogonal array sampling designs in computer experiments
On the local behavior of spaces of natural images
Minimax distance designs in two-level factorial experiments
On the geometry of the base space of a metric fibration.
Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points
Statistics on special manifolds
Support points
Optimal Monte Carlo integration on closed manifolds
QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere
A note on a method for generating points uniformly on n -dimensional spheres
Nested Latin hypercube designs
Orthogonal Array-Based Latin Hypercubes
Lectures on Optimal Transport
Proximal Gradient Method for Nonsmooth Optimization over the Stiefel Manifold
Nested Lattice Sampling: A New Sampling Scheme Derived by Randomizing Nested Orthogonal Arrays
Extensible Grids: Uniform Sampling on a Space Filling Curve
Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality
Choosing a Point from the Surface of a Sphere
Concept decompositions for large sparse text data using clustering
An Optimal Transport Approach for Selecting a Representative Subsample with Application in Efficient Kernel Density Estimation

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