DR12 - Nearly Orthogonal Latin Hypercubes - 12 to 16 dimensions

Nearly orthogonal Latin hypercubes of order 6 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
6	12	65	0.5003	1.3324	0.01827	0.0
	13	65	0.8423	1.6837	0.10827	0.0
	14	65	1.4217	1.6910	0.01827	0.0
	15	65	2.3779	1.7391	0.01827	0.0
	16	65	3.9510	2.2306	0.01827	1.0935

Columns removed for the 12 dimensions design are {2, 4, 5, 11}, for the 13 dimensions design {3, 6, 14}, for the 14 dimensions design {4, 5}, and for the 15 dimensions design {6}.

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.
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