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相关论文: Doubly Coupled Designs for Computer Experiments wi…

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Recent researches on designs for computer experiments with both qualitative and quantitative factors have advocated the use of marginally coupled designs. This paper proposes a general method of constructing such designs for which the…

统计方法学 · 统计学 2022-03-15 Yuanzhen He , C. Devon Lin , Fasheng SUn

Computer simulations serve as powerful tools for scientists and engineers to gain insights into complex systems. Less costly than physical experiments, computer experiments sometimes involve large number of trials. Conventional design…

统计方法学 · 统计学 2025-06-06 Xu He , Junpeng Gong , Zhaohui Li

Latin hypercube designs achieve optimal univariate stratifications and are useful for computer experiments. Sliced Latin hypercube designs are Latin hypercube designs that can be partitioned into smaller Latin hypercube designs. In this…

统计理论 · 数学 2019-05-09 Jin Xu , Xu He , Xiaojun Duan , Zhengming Wang

Quantitative assessment of the uncertainties tainting the results of computer simulations is nowadays a major topic of interest in both industrial and scientific communities. One of the key issues in such studies is to get information about…

统计理论 · 数学 2023-12-05 Guillaume Damblin , Mathieu Couplet , Bertrand Iooss

A new type of experiment with joint considerations of quantitative and sequence factors is recently drawing much attention in medical science, bio-engineering, and many other disciplines. The input spaces of such experiments are…

统计方法学 · 统计学 2025-02-06 Yaping Wang , Sixu Liu , Qian Xiao

Sequential Latin hypercube designs have recently received great attention for computer experiments. Much of the work has been restricted to invariant spaces. The related systematic construction methods are inflexible while algorithmic…

统计理论 · 数学 2023-05-18 Xue-Ru Zhang , Min-Qian Liu , Dennis K. J. Lin , Yong-Dao Zhou

Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. Optimal SLHDs achieve better space-filling property on the whole experimental region. However,…

统计理论 · 数学 2019-08-07 Jing Zhang , Jin Xu , Kai Jia , Yimin Yin , Zhengming Wang

The two-layer computer simulators are commonly used to mimic multi-physics phenomena or systems. Usually, the outputs of the first-layer simulator (also called the inner simulator) are partial inputs of the second-layer simulator (also…

统计方法学 · 统计学 2023-05-23 Yan Wang , Dianpeng Wang , Xiaowei Yue

Space-filling designs are crucial for efficient computer experiments, enabling accurate surrogate modeling and uncertainty quantification in many scientific and engineering applications, such as digital twin systems and cyber-physical…

统计方法学 · 统计学 2025-08-06 Xinwei Deng , Lulu Kang , C. Devon Lin

Efficient Latin hypercube designs (LHDs), including maximin distance LHDs, maximum projection LHDs and orthogonal LHDs, are widely used in computer experiments. It is challenging to construct such designs with flexible sizes, especially for…

统计方法学 · 统计学 2021-01-12 Hongzhi Wang , Qian Xiao , Abhyuday Mandal

We develop a new method for constructing "good" designs for computer experiments. The method derives its power from its basic structure that builds large designs using small designs. We specialize the method for the construction of…

统计理论 · 数学 2010-10-05 C. Devon Lin , Derek Bingham , Randy R. Sitter , Boxin Tang

Computer experiments with both qualitative and quantitative factors are widely used in many applications. Motivated by the emerging need of optimal configuration in the high-performance computing (HPC) system, this work proposes a…

分布式、并行与集群计算 · 计算机科学 2021-01-08 Xia Cai , Li Xu , C. Devon Lin , Yili Hong , Xinwei Deng

A framework for designing and analyzing computer experiments is presented, which is constructed for dealing with functional and real number inputs and real number outputs. For designing experiments with both functional and real number…

统计方法学 · 统计学 2014-10-03 Thomas Muehlenstaedt , Jana Fruth , Olivier Roustant

In some studies requiring predictive and CPU-time consuming numerical models, the sampling design of the model input variables has to be chosen with caution. For this purpose, Latin hypercube sampling has a long history and has shown its…

统计计算 · 统计学 2011-04-22 Matthieu Petelet , Bertrand Iooss , Olivier Asserin , Alexandre Loredo

This chapter discusses a general design approach to planning computer experiments, which seeks design points that fill a bounded design region as uniformly as possible. Such designs are broadly referred to as space-filling designs.

统计方法学 · 统计学 2022-03-15 C. Devon Lin , Boxin Tang

In this article, an adaption of an algorithm for the creation of experimental designs by Lekivetz and Jones (2015) is suggested, dealing with constraints around randomization. Split-plot design of experiments is used, when the levels of…

统计方法学 · 统计学 2020-03-24 Thomas Muehlenstaedt , Maria Lanzerath

Experiments with both qualitative and quantitative factors occur frequently in practical applications. Many construction methods for this kind of designs, such as marginally coupled designs, were proposed to pursue some good space-filling…

统计理论 · 数学 2021-01-08 Mei Zhang , Feng Yang , Yongdao Zhou

Designs of experiments for multivariate case are reviewed. Fast algorithm of construction of good Latin hypercube designs is developed.

统计方法学 · 统计学 2009-07-13 Andrey Pepelyshev

In this paper, we proposes the construction methods of sliced space-filling design when the quantitative factors are mixture components. Leveraging the representative points framework for distribution and energy distance decomposition…

统计理论 · 数学 2025-09-29 Zikang Xiong , Hong Qin , Yuning Huang , Jianhui Ning

A common challenge in computer experiments and related fields is to efficiently explore the input space using a small number of samples, i.e., the experimental design problem. Much of the recent focus in the computer experiment literature,…

统计方法学 · 统计学 2019-07-01 Boya Zhang , D. Austin Cole , Robert B. Gramacy
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