A review of discrepancy bounds for (t,s) and (t,e,s)-sequences with numerical comparisons

Abstract : In this paper we review recent discrepancy bounds for (t, s)-sequences and other low-discrepancy sequences. We then provide numerical comparisons of these bounds for various combinations of dimension and number of points. In some cases, we compare different bounds for the same type of construction, and in other cases, we compare the best bounds across different constructions.
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https://hal.archives-ouvertes.fr/hal-01587537
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Henri Faure, Christiane Lemieux. A review of discrepancy bounds for (t,s) and (t,e,s)-sequences with numerical comparisons. Ninth IMACS Seminar on Monte Carlo Methods , IMACS; LAMA (UMR 5127), Jul 2013, Annecy-le-Vieux, France. pp.63 - 71, ⟨10.1016/j.matcom.2014.08.006⟩. ⟨hal-01587537⟩

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