14 citations · 124 across the 36 of their papers we have counts for
4 papers · 1 filter
Quasi-Monte Carlo for an Integrand with a Singularity along a Diagonal in the Square
Kinjal Basu, Art B. Owen
Quasi-Monte Carlo methods are designed for integrands of bounded variation, and this excludes singular integrands. Several methods are known for integrands that become singular on…
Scrambled geometric net integration over general product spaces
K. Basu, A. B. Owen
Quasi-Monte Carlo (QMC) sampling has been developed for integration over where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation. Scrambled…
Quasi-Monte Carlo tractability of high dimensional integration over products of simplices
Kinjal Basu
Quasi-Monte Carlo (QMC) methods for high dimensional integrals over unit cubes and products of spheres are well-studied in literature. We study QMC tractability of integrals of fun…
Low discrepancy constructions in the triangle
Kinjal Basu, Art B. Owen
Most quasi-Monte Carlo research focuses on sampling from the unit cube. Many problems, especially in computer graphics, are defined via quadrature over the unit triangle. Quasi-Mon…