DR12 - Nearly Orthogonal Latin Hypercubes - 22 to 29 dimensions

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).

Properties

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}.

Dowloads

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

Cite As

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.
Original Version
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