45 citations · 56 across the 3 of their papers we have counts for
4 papers
A negative dependence framework to assess different forms of scrambling
Henri Faure, Gracia Y. Dong, Christiane Lemieux
We use the framework of dependence to assess the benefits of scrambling randomly versus deterministically for Faure and Halton sequences. We attempt to answer the following questio…
Implementation of irreducible Sobol sequences in prime power bases
H. Faure, C. Lemieux
We present different implementations for the irreducible Sobol (IS) sequences introduced in [3]. For this purpose we retain two strategies: first we use the connection between IS a…
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules
Henri Faure, Peter Kritzer, Friedrich Pillichshammer
In 1935 J.G. van der Corput introduced a sequence which has excellent uniform distribution properties modulo 1. This sequence is based on a very simple digital construction scheme…
Discrepancy bounds for low-dimensional point sets
Henri Faure, Peter Kritzer
The class of -nets and -sequences, introduced in their most general form by Niederreiter, are important examples of point sets and sequences that are commonly used…