Nearly orthogonal Latin hypercubes of order 8 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 |
---|---|---|---|---|---|---|

8 | 23 | 257 | 27.474 | 2.1449 | 0.00390 | 0.0 |

24 | 257 | 42.796 | 2.3850 | 0.00390 | 0.0 | |

25 | 257 | 68.165 | 2.4500 | 0.00390 | 0.0 | |

26 | 257 | 105.39 | 2.4697 | 0.00390 | 0.0 | |

27 | 257 | 161.80 | 2.6175 | 0.00390 | 0.0 | |

28 | 257 | 253.16 | 2.6544 | 0.00390 | 0.0 | |

29 | 257 | 386.80 | 2.8008 | 0.00390 | 1.0197 |

Columns removed for the 23 dimensions design are {18, 20, 21, 24, 27, 29}, for the 24 dimensions design {4, 15, 18, 24, 27}, for the 25 dimensions design {21, 26, 27, 29}, for the 26 dimensions design {26, 27, 29}, for the 27 dimensions design {27, 29}, and for the 28 dimensions design {20}.

- 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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