Sliced Latin Hypercube Designs

DOI10.1080/01621459.2011.644132zbMath1261.62073OpenAlexW2073194613MaRDI QIDQ4916471

Peter Z. G. Qian

Publication date: 22 April 2013

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2011.644132

zbMATH Keywords

Numerical integrationDesign of experimentsComputer experimentEnsembles of computer modelsSpace-filling design

Mathematics Subject Classification ID

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Global optimization for mixed categorical-continuous variables based on Gaussian process models with a randomized categorical space exploration step ⋮ Construction of Uniform Designs and Complex-Structured Uniform Designs via Partitionable t-Designss ⋮ Generalized polynomial chaos-informed efficient stochastic kriging ⋮ Construction of improved branching Latin hypercube designs ⋮ Some results on the construction of sliced orthogonal arrays of parallel-flats type ⋮ Construction of (nearly) orthogonal sliced Latin hypercube designs ⋮ Resolvable orthogonal array-based uniform sliced Latin hypercube designs ⋮ Doubly Coupled Designs for Computer Experiments With Both Qualitative and Quantitative Factors ⋮ A novel extension algorithm for optimized Latin hypercube sampling ⋮ Fast prediction of aquifer thermal energy storage: a multicyclic metamodelling procedure ⋮ Exploratory ensemble designs for environmental models using k‐extended Latin Hypercubes ⋮ Robust optimization with uncertainty using a stochastic multivariate Gaussian process model ⋮ Construction of orthogonal general sliced Latin hypercube designs ⋮ Prediction for computer experiments with both quantitative and qualitative factors ⋮ Sequentially weighted uniform designs ⋮ A general construction for nested Latin hypercube designs ⋮ Construction of sliced (nearly) orthogonal Latin hypercube designs ⋮ On the construction of nested space-filling designs ⋮ Sliced Latin hypercube designs via orthogonal arrays ⋮ Sliced Latin hypercube designs with both branching and nested factors ⋮ A central limit theorem for marginally coupled designs ⋮ Sliced space-filling designs with different levels of two-dimensional uniformity ⋮ Group Kernels for Gaussian Process Metamodels with Categorical Inputs ⋮ A Statistical Method for Emulation of Computer Models With Invariance-Preserving Properties, With Application to Structural Energy Prediction ⋮ Construction of second-order orthogonal sliced Latin hypercube designs ⋮ Flexible sliced designs for computer experiments ⋮ A conversation with Jeff Wu ⋮ Nested Latin Hypercube Designs with Sliced Structures ⋮ Estimates of the coverage of parameter space by Latin hypercube and orthogonal array-based sampling ⋮ Construction of Latin hypercube designs with nested and sliced structures ⋮ Sliced symmetrical Latin hypercube designs ⋮ Least squares polynomial chaos expansion: a review of sampling strategies ⋮ Flexible sliced Latin hypercube designs with slices of different sizes ⋮ Construction of orthogonal marginally coupled designs ⋮ Uniformity criterion for designs with both qualitative and quantitative factors ⋮ Fast basin stability estimation for dynamic systems under large perturbations with sequential support vector machine ⋮ Maximum expected entropy transformed Latin hypercube designs ⋮ Sequential support points ⋮ Representative points for distribution recovering

Cites Work

• Exploratory designs for computational experiments
• On Latin hypercube sampling
• The design and analysis of computer experiments.
• Orthogonal and nearly orthogonal designs for computer experiments
• Nested Latin hypercube designs
• Construction of orthogonal Latin hypercube designs
• A construction method for orthogonal Latin hypercube designs
• Some Concepts of Dependence

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