Minimizing the L2 and L∞ star discrepancies of a single point in the unit hypercube

Authors:
Tim Pillards;Bart Vandewoestyne;Ronald Cools
Affiliations:
Department of Computer Science, Katholieke Universiteit Leuven, Heverlee, Belgium;Department of Computer Science, Katholieke Universiteit Leuven, Heverlee, Belgium;Department of Computer Science, Katholieke Universiteit Leuven, Heverlee, Belgium
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 2
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Abstract

Consider a point set that contains a single point x in the s-dimensional hypercube. We show where to place x in order to minimize the L2 and L∞ star discrepancies, measures often used in quasi-Monte Carlo integration.