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数学与物理学

序贯最大最小距离设计的空间填充性

  • 滕一阳 ,
  • 武赟 ,
  • 熊世峰 ,
  • 杨建奎
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  • 1 北京邮电大学理学院, 北京 100876;
    2 中国科学院数学与系统科学研究院, 北京 100190

收稿日期: 2017-09-29

  修回日期: 2017-11-16

  网络出版日期: 2018-11-15

基金资助

国家自然科学基金(11471172,11671386)资助

A space-filling property of sequential maximin distance designs

  • TENG Yiyang ,
  • WU Yun ,
  • XIONG Shifeng ,
  • YANG Jiankui
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  • 1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2 Academy of Mathmetics and Systems Science, Chinese Academy of Science Beijng 100190, China

Received date: 2017-09-29

  Revised date: 2017-11-16

  Online published: 2018-11-15

摘要

最大最小距离设计是计算机试验中常用的一种空间填充设计。讨论序贯最大最小距离设计的空间填充性质,证明在样本量趋于无穷时,这种序贯设计中的点在试验区域内达到稠密.

本文引用格式

滕一阳 , 武赟 , 熊世峰 , 杨建奎 . 序贯最大最小距离设计的空间填充性[J]. 中国科学院大学学报, 2018 , 35(6) : 731 -734 . DOI: 10.7523/j.issn.2095-6134.2018.06.003

Abstract

Maximin distance designs, as a class of space-filling designs, are commonly used in computer experiments. In this paper we discuss the space-filling properties of sequential maximin distance design. We prove that the points in such a sequential design become dense in the experimental region as the sample size goes to infinity.

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