A weak correlation hypercube with 30 runs and 0 orthogonal columns

in #olhd6 years ago

W30h0o


Author : He Shenze (Email:[email protected] )

Columns 1 to 23

02,02,09,12,08,13,07,30,24,11,12,23,12,13,12,30,13,25,21,01,22,15,24,

15,19,19,27,29,06,20,05,21,13,29,29,26,02,14,09,04,29,06,11,06,10,08,

28,28,03,04,07,14,24,04,12,14,15,30,25,09,02,24,26,10,03,16,26,14,22,

26,25,28,28,06,20,01,16,27,21,09,11,15,16,11,20,16,30,04,15,02,26,23,

09,20,18,02,01,02,19,07,16,22,01,13,04,12,17,01,03,24,22,20,16,23,04,

27,08,27,06,05,12,10,13,26,18,30,26,08,20,23,17,22,07,19,24,10,24,09,

29,22,16,14,27,03,03,21,11,10,06,12,21,28,07,06,14,01,18,02,13,22,10,

23,10,25,03,24,28,16,15,17,04,11,27,11,30,25,14,15,20,07,07,18,19,26,

11,15,14,22,13,16,22,10,02,30,26,28,01,19,06,23,05,06,27,06,04,17,28,

14,07,02,10,30,10,29,03,28,09,05,02,06,17,13,29,20,16,12,27,01,21,19,

10,14,11,23,18,15,02,08,23,02,28,17,20,18,09,22,06,05,26,28,28,29,06,

16,21,30,07,19,01,25,25,07,03,25,04,17,07,05,12,27,26,29,13,20,20,25,

08,16,08,19,25,08,04,24,29,26,03,24,13,10,08,02,23,04,14,18,17,03,20,

03,17,13,17,28,26,17,06,08,28,17,16,09,22,18,10,30,23,09,03,29,30,01,

22,13,21,13,26,19,15,14,14,16,18,20,02,06,29,03,11,13,17,29,27,05,29,

12,06,12,16,22,25,12,19,05,15,27,05,18,27,03,04,17,19,13,26,03,11,21,

18,18,29,30,14,27,23,01,20,05,02,07,10,14,10,19,09,09,25,04,24,04,16,

21,30,04,26,10,22,06,18,03,12,16,09,03,01,27,18,29,11,20,17,09,18,15,

25,12,15,24,11,23,28,22,13,17,07,22,30,26,20,16,19,18,30,25,14,06,02,

19,29,05,09,21,09,13,27,09,08,20,14,07,24,28,28,01,21,10,12,12,01,03,

06,24,23,29,20,04,26,26,10,25,08,19,24,25,26,25,12,14,11,30,23,28,27,

01,01,22,21,04,05,14,09,04,01,13,15,23,11,30,13,24,02,01,10,07,13,14,

20,04,26,05,15,21,11,20,01,29,10,06,19,05,04,26,02,08,02,21,19,12,07,

04,23,17,18,02,24,27,29,22,06,19,21,05,23,01,07,21,15,05,23,15,09,05,

07,26,07,08,03,18,09,02,19,20,23,01,29,29,22,08,08,17,15,14,21,07,30,

17,09,20,20,17,11,05,12,18,23,22,08,14,15,15,27,28,27,16,19,30,02,11,

05,27,24,01,23,29,21,23,30,24,21,10,28,04,24,21,18,03,23,08,05,16,12,

13,11,06,11,16,30,08,17,06,07,04,25,27,03,16,11,10,28,24,22,11,25,18,

24,05,10,15,12,07,18,11,15,27,14,18,22,21,19,15,25,22,28,09,08,08,13,

30,03,01,25,09,17,30,28,25,19,24,03,16,08,21,05,07,12,08,05,25,27,17,

Columns 24 to 29

07,09,15,03,14,30,

11,03,09,16,15,23,

10,27,17,12,21,27,

23,28,27,11,08,21,

02,22,13,25,20,26,

26,08,10,07,29,28,

06,04,29,06,23,06,

08,13,02,30,03,07,

20,15,26,27,24,11,

19,07,20,18,19,20,

15,26,11,21,01,08,

30,16,12,23,09,22,

29,20,03,28,17,16,

27,17,19,04,13,25,

14,18,30,02,05,10,

01,30,07,09,26,24,

17,21,05,05,30,17,

04,02,01,17,11,15,

21,10,24,26,06,29,

28,29,16,13,22,14,

09,14,08,08,25,13,

18,23,25,20,10,19,

22,06,06,14,04,18,

12,05,22,10,07,03,

24,01,14,22,12,09,

03,11,28,29,27,02,

05,24,23,19,16,12,

25,12,21,15,28,04,

13,25,04,01,02,01,

16,19,18,24,18,05,

The Correlation Matrix


参 考

  1. 贺深泽, 弱相关试验设计, 数学的实践与认识, 2009, 39 卷第 3 期
  2. 弱相关试验设计(修订)
  3. 命名规则
  4. 介绍正交超立方试验设计表

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Wish I understood...

This kind of matrix is mainly used to experimental design and parameter optimization process. The orthogonal hypercube is similar to the orthogonal Latin hypercube in some literature. For typical literature, please refer to
C.D.Lin, D.Bingham, R.R.Sitter and B.Tang, A new and flexible method for constructing designs for computer experiments, The Annals of Statistics, Vol. 38, No.3, 1460–1477, (2010) and CDLin , New developments in designs for computer experiments and physical experiments. Ph.D. thesis, Simon Fraser Univ. (2008).

Alright, thanks

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