Successive Coordinate Search and Component-by-Component Construction of Rank-1 Lattice Rules

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When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
I. H. Sloan and H. Woźniakowski · 1998
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Tractability of multivariate integration for weighted Korobov classes
I. H. Sloan and H. Woźniakowski · 2001
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Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces
F. Y. Kuo · 2003
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Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces
D. Nuyens and R. Cools · 2006
Cited alongside, same era.
Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points
D. Nuyens and R. Cools · 2006
Cited alongside, same era.
On the behavior of weighted star discrepancy bounds for shifted lattice rules
V. Sinescu and P. L’Ecuyer · 2009
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High-dimensional integration: The quasi-Monte Carlo way
J. Dick, F. Y. Kuo and I. H. Sloan · 2013
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The construction of good lattice rules and polynomial lattice rules
D. Nuyens · 2014
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The component-by-component construction in weighted reproducing kernel Hilbert spaces - an optimization approach
A. Ebert · 2015
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