Optimal Monte Carlo integration on closed manifolds
Abstract
The worst case integration error in reproducing kernel Hilbert spaces of standard Monte Carlo methods with n random points decays as $n^{-1/2} n - 1 / 2 . However, the re-weighting of random points, as exemplified in the Bayesian Monte Carlo method, can...
Paper Details
Title
Optimal Monte Carlo integration on closed manifolds
Published Date
Oct 30, 2019
Journal
Volume
29
Issue
6
Pages
1203 - 1214
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