Nearly orthogonal Latin hypercubes of order 7 optimized using an evolutionary algorithm to minimize the modified L2 discrepancy (ML2), maximize the euclidean maximin distance (EMm), minimize the maximum pairwise correlation (MPwC), and minimize the condition number (Cond).

Order |
Dimensions |
Number of Points |
ML2 |
EMm |
MPwC |
Cond |
---|---|---|---|---|---|---|

7 | 17 | 129 | 3.2348 | 1.8665 | 0.00693 | 0.0 |

18 | 129 | 5.2220 | 2.1461 | 0.00693 | 0.0 | |

19 | 129 | 8.3445 | 2.2445 | 0.00693 | 0.0 | |

20 | 129 | 13.263 | 2.3667 | 0.00693 | 0.0 | |

21 | 129 | 21.303 | 2.41141 | 0.00693 | 0.0 | |

22 | 129 | 33.464 | 2.5630 | 0.00693 | 1.0413 |

Columns removed for the 17 dimensions design are {8, 11, 12, 14, 17}, for the 18 dimensions design {8, 11, 12, 17}, for the 19 dimensions design {10, 15, 22}, for the 20 dimensions design {8, 12}, and for the 21 dimensions design {15}.

- JSON formated configuration vector
- Archive of JSON formated point sets
- Archive of CSV formated point sets

Points sets should be read row major; an entire row is a point and each column is one dimension for a point.

F.-M. De Rainville, C. Gagné, O. Teytaud, and D. Laurendeau. *Evolutionary optimization of low-discrepancy sequences*. ACM Trans. Model. Comput. Simul., 22(2):9:1–9:25, 2012.

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