Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians
Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians
Numerical integration and function approximation on compact Riemannian manifolds based on eigenfunctions of the Laplace-Beltrami operator have been widely studied in the recent literature. The standard example in numerical experiments is the Euclidean sphere. Here, we derive numerically feasible expressions for the approximation schemes on the Grassmannian manifold, and we …