Maximin distance Latin hypercube designs (LHDs) are extensively applied in computer experiments, but it is challenging to construct such designs. In this paper, based on a 2(2) full factorial design and a series of saturated two-level regular designs, a number of maximin distance LHDs are ...
replication is not required. This can be achieved by using a Latin Hypercube Design(LHD) (McKay(Beckman) and Conover 1979). An LHD has the property that by projecting an n-point design on to any factor,we will get n di,erent levels for that factor. This property makes an LHD very sui...
This design is a special type of Latin hypercube design that can be partitioned into smaller slices of Latin hypercube designs, where both the whole design and each slice are optimal under the maximin criterion. To construct these designs, a two-step construction method for generating sliced ...
针对该缺陷,本发明公开的一种高效maximin拉丁超方采样方法(anovelalgorithmofmaximinlatinhypercubedesignusingsuccessiveintegerprogramming,sip)要解决的技术问题为:以逐次局部枚举(successivelocalenumeration,sle)的拉丁超立方试验设计方法为基础,使用整数规划方法优化目标函数,实现设计样本点采样,具有如下优点:一是通过整数规划...
a simple calculation, it can be seen that the inner product of any two distinct columns inP_0^*is zero, which means thatP_0is column-orthogonal. Moreover,P_0^*can be written asP_0^*=(\mathbf{X }^T,-\mathbf{X }^T)^T, which indicates thatP_0is a mirror-symmetric design.\...
search problems/ maximin latin hypercube designiterated local search heuristic algorithmk-dimensional gridcomputational experiment/ B0260 Optimisation techniques B0290F Interpolation and function approximation (numerical analysis) B0240Z Other topics in statistics C1180 Optimisation techniques C1140Z Other ...
Space-filling designMaximin distance Latin hypercube designs (LHDs) are frequently used in computer experiments, but their constructions are challenging. In this paper, we present some new results connecting maximin L2-distance optimality and near orthogonality for mirror-symmetric LHDs. We further ...
Latin hypercube designLinking parameterMulti-fidelity modelingNested designsSequential simulationSpace-fillingTraining and test setValidationIn the field of design of computer experiments (DoCE), Latin hypercube designs are frequently used for the approximation and optimization of black-boxes. In certain ...
Design of computer experimentsLatin hypercube designlinking parameternested designssequential simulationspace-fillingtraining and test setIn the field of design of computer experiments (DoCE), Latin hypercube designs are frequently used for the approximation and optimization of black-boxes. In cerRennen, ...
To enable the production of high-quality sequential samples, this article presents a novel deterministic sequential maximin Latin hypercube design (LHD) method using successive local enumeration, notated as sequential-successive local enumeration (S-SLE). First, a mesh-mapping algorithm is proposed to ...