Author

Aleksei G. Sorokin

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Preprint Oct 2026

Optimal Monte Carlo integration on matrix manifolds

This article develops optimal order (up to logarithmic factors) weighted cubature rules for Monte Carlo numerical integration in Sobolev reproducing kernel Hilbert spaces over common matrix manifolds. Specifically, we consider matrix models of the Stiefel, Grassmann, flag, and Lagrangian Grassmann manifolds each over e...

Aleksei G. Sorokin, Yi-Han Guo, Lek-Heng Lim · 0 citations