Orthogonal-Maximin Latin Hypercube Designs V.Roshan Joseph and Ying Hung School of Industrial and Systems Engineering Georgia Institute of Technology Atlanta,GA 30332-0205,USA roshan@isye.gatech.edu and yhung@i
Maximin 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 propose a simple and ...
A new, well-performing algorithm is presented for the construction of maximin Latin hypercube designs using a 2-dimcnsional distance metric. An additional criterion, design orthogonality, is important when screening the effects of the input variables and a new search algorithm for orthogonal maximin ...
Latin hypercube designs (LHDs), maximin distance designs (MDDs) and orthogonal designs (ODs) are becoming popular and preferred choices in many areas of scientific investigation. A LHD has good projective properties on any single dimension for its uniform coverage of each individual factor, but ...
A sliced Latin hypercube design is a special Latin hypercubedesign that can be divided into slices of smaller Latin hypercubedesigns. This type of designs is useful for computer experiments withqualitative and quantitative factors, multiple experiments, data pooling, andcross-validation. Orthogonality ...
A sliced Latin hypercube design is a special Latin hypercube design that can be divided into slices of smaller Latin hypercube designs. This type of designs is useful for computer experiments with qualitative and quantitative factors, multiple experiments, data pooling, and cross-validation. ...
Maximin 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 -distance optimality and near orthogonality for mirror-symmetric LHDs. We further propose a simple and ...
Latin hypercube designMirror-symmetric designRegular cross-polytopeU-type designMaximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for ...
Latin hypercube designminimum G_(2)-aberrationspace-filling designU-type designSpace-filling designs are widely used in computer experiments.They are frequently evaluated by the orthogonality and distance-related criteria.Rotating orthogonal arrays is an appealing approach to constructing orthogonal space-...