These nested designs can be used to deal with training and test sets, models with different levels of accuracy, linking parameters, and sequential evaluations. In this paper, we construct nested maximin Latin hypercube designs for up to ten dimensions. We show that different types of grids ...
Rennen G, Husslage BGM, van Dam ER, den Hertog D (2010) Nested maximin Latin hypercube designs. Struct Multidiscip Optim 46(2):287-306Rennen G, Husslage B, Van Dam ER, Hertog DD (2010) Nested max- imin Latin hypercube designs. J Int Soc Struct Multidisc Optim (ISSMO) 41:371-395...
Nested maximin latin hypercube designs in two dimensions. CentER Discussion Paper 2005-79, Tilburg University, Tilburg, 2005.Husslage B, Van Dam E, Den Hertog D (2005) Nested maximin Latin hypercube designs in two dimensions. CentER discussion paper no. 2005-79...
In this article a novel nested maximin Latin hypercube design is constructed based on successive local enumeration and a modified novel global harmony search algorithm. In the proposed nested designs, successive local enumeration is employed to select sample points for a low-fidelity model, whereas ...
maximin distancenumerical integrationorthogonal arrayspace fillingComputer experiments usually involve many factors, but only a few of them are active. In such a case, it is desirable to construct designs with good projection properties. Maximum projection designs and uniform projection designs have been...
Ref. [16] proposed a criterion to construct the maximin Latin hypercube designs, given by 𝜙𝜆(𝑫)=⎧⎩⎨ ∑𝑖≠𝑗𝑑(𝒙𝑖,𝒙𝑗)−𝜆⎫⎭⎬ 1/𝜆, (2) where 𝑑(𝒙𝑖,𝒙𝑗)=(∑𝑚𝑘=1|𝑥𝑖𝑘−𝑥𝑗𝑘|𝑝)1/𝑝 is the ...
Ref. [16] proposed a criterion to construct the maximin Latin hypercube designs, given by ϕ λ ( D ) = ∑ i ≠ j d ( x i , x j ) − λ 1 / λ , (2) where d ( x i , x j ) = ∑ k = 1 m | x i k − x j k | p 1 / p is the distance between ...