Recent constructions of low-discrepancy sequences

被引:2
|
作者
Niederreiter, Harald [1 ]
机构
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenbergerstr 69, A-4040 Linz, Austria
关键词
Quasi-Monte Carlo method; Low-discrepancy sequence; Digital sequence; Global function field; Ergodic theory; GLOBAL FUNCTION-FIELDS; ERGODIC TRANSFORMATIONS; FINITE-FIELDS;
D O I
10.1016/j.matcom.2014.10.001
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a survey of the recently developed theory of (u, e, s)-sequences which has led to new constructions of low discrepancy sequences. We also review recent constructions of low-discrepancy sequences by means of ergodic theory. (C) 2014 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:18 / 27
页数:10
相关论文
共 50 条
  • [1] PSO with Randomized Low-Discrepancy Sequences
    Hoai, Nguyen Xuan
    Uy, Nguyen Quang
    McKay, R. I.
    GECCO 2007: GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE, VOL 1 AND 2, 2007, : 173 - 173
  • [2] Correlated Gaussians and Low-Discrepancy Sequences
    Fedorov, D. V.
    FEW-BODY SYSTEMS, 2019, 60 (03)
  • [3] Evolutionary Optimization of Low-Discrepancy Sequences
    De Rainville, Francois-Michel
    Gagne, Christian
    Teytaud, Olivier
    Laurendeau, Denis
    ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION, 2012, 22 (02):
  • [4] Correlated Gaussians and Low-Discrepancy Sequences
    D. V. Fedorov
    Few-Body Systems, 2019, 60
  • [5] FAST GENERATION OF LOW-DISCREPANCY SEQUENCES
    STRUCKMEIER, J
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 61 (01) : 29 - 41
  • [6] Computational investigations of low-discrepancy sequences
    Kocis, L
    Whiten, WJ
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1997, 23 (02): : 266 - 294
  • [7] LOW-DISCREPANCY AND LOW-DISPERSION SEQUENCES
    NIEDERREITER, H
    JOURNAL OF NUMBER THEORY, 1988, 30 (01) : 51 - 70
  • [8] Quad-Optimized Low-Discrepancy Sequences
    Ostromoukhov, Victor
    Bonneel, Nicolas
    Coeurjolly, David
    Iehl, Jean-Claude
    PROCEEDINGS OF SIGGRAPH 2024 CONFERENCE PAPERS, 2024,
  • [9] Genetic algorithms using low-discrepancy sequences
    Kimura, Shuhei
    Matsumura, Koki
    GECCO 2005: GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE, VOLS 1 AND 2, 2005, : 1341 - 1346
  • [10] Low-discrepancy sequences: Atanassov's methods revisited
    Faure, Henri
    Lemieux, Christiane
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 132 : 236 - 256