DR12 - Nearly Orthogonal Latin Hypercubes - 8 to 11 dimensions

Nearly orthogonal Latin hypercubes of order 5 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
5 8 33 0.1177 1.1809 0.02741 0.0
9 33 0.2778 1.4170 0.02741 0.0
10 33 0.3827 1.6654 0.0.2741 0.0
11 33 0.6609 1.9355 0.02741 1.1166

Columns removed for the 8 dimensions design are {1, 3, 10}, for the 9 dimensions design {6, 10}, and for the 10 dimensions design {10}.

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
LVSN Version


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