A general theory for orthogonal array based Latin hypercube sampling

Ai, Mingyao; Kong, Xiangshun; Li, Kang

doi:10.5705/ss.202015.0029

Cited by 13 publications

(13 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The use of orthogonal arrays (OA), in specific designs for CEs, is suggested in refs. [ 21,22 ] OA combine two desirable properties: Stratification on multivariate margins and univariate uniformity. For more accuracy in estimation, strong OA with filling properties are recommended for CEs.…”

Section: Statistical Methods In the Design And Analysis Of Computer Ementioning

confidence: 99%

Challenges and Opportunities in Simulations and Computer Experiments in Industrial Statistics: An Industry 4.0 Perspective

Kenett¹,

Vicario

2021

Advcd Theory and Sims

View full text Add to dashboard Cite

show abstract

Section: Statistical Methods In the Design And Analysis Of Computer Ementioning

confidence: 99%

Challenges and Opportunities in Simulations and Computer Experiments in Industrial Statistics: An Industry 4.0 Perspective

Kenett¹,

Vicario

2021

Advcd Theory and Sims

View full text Add to dashboard Cite

show abstract

“…It should be noted that the very definition of the set X S facilitates design of experiments which was a problem for both It is implemented using (13) and the appropriate mappings from the unit interval [0,1] n onto X S . Let { z ( k ) }, k = 1, …, N B , where z ( k ) = [ z 1 ( k ) … z n ( k ) ] T , denote the set of uniformly distributed data points in [0,1] n (here, using LHS). The mapping is realized in two stages.…”

Section: Nested Kriging Modelingmentioning

confidence: 99%

Recent Advances in Performance‐Driven Surrogate Modeling of High‐Frequency Structures

Koziel

Pietrenko‐Dabrowska

2020

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

“…If these permutations are randomly sampled, clusters of points or regions of void space may be observed. For this reason, we base our design on the orthogonal arrays, which constrain the samples to fill the space with respect to a regular grid at a coarser scale than the LHS bins (Owen, 1992;Tang, 1993;Ai et al, 2016;Bevilacqua et al, 2019b;Patra et al, 2020).…”

Section: A3 Non-uniform Latin Hypercube Samplingmentioning

confidence: 99%

Thematic vent opening probability maps and hazard assessment of small-scale pyroclastic density currents in the San Salvador Volcanic Complex (El Salvador) and Nejapa-Chiltepe Volcanic Complex (Nicaragua)

Bevilacqua¹,

Aravena²,

Neri³

et al. 2020

Preprint

View full text Add to dashboard Cite

Abstract. San Salvador Volcanic Complex (El Salvador) and Nejapa-Chiltepe Volcanic Complex (Nicaragua) have been characterized by a significant variability in eruption style and vent location. Densely inhabited cities are in their surroundings, including the metropolitan areas of San Salvador (~2.4 M people) and Managua (~1.4 M people), respectively. In this study we present novel vent opening probability maps for these volcanic complexes, which are based on a multi-model approach that relies on kernel density estimators. Our volcanological dataset includes: (1) the location of past vents, (2) the mapping of the main fault structures, and (3) the eruption styles of past events, obtained from the critical analysis of literature and/or inferred from volcanic deposits and morphological features observed remotely and in the field. In particular, we present thematic vent opening maps, i.e. we consider different hazardous phenomena separately, including lava emission, small-scale pyroclastic density currents, ejection of ballistic projectiles, and low-intensity pyroclastic fallout. To illustrate the effects of considering the expected eruption style in the construction of vent opening maps, we focus on the analysis of small-scale pyroclastic density currents derived from phreatomagmatic activity or from low-intensity magmatic volcanism. For the numerical simulation of these phenomena we adopted the recently developed branching energy cone model by using the program ECMapProb. Our results show that the implementation of thematic maps of vent opening can produce significantly different hazard levels from those estimated with traditional, non-thematic, maps.

show abstract

A general theory for orthogonal array based Latin hypercube sampling

Cited by 13 publications

References 0 publications

Challenges and Opportunities in Simulations and Computer Experiments in Industrial Statistics: An Industry 4.0 Perspective

Challenges and Opportunities in Simulations and Computer Experiments in Industrial Statistics: An Industry 4.0 Perspective

Recent Advances in Performance‐Driven Surrogate Modeling of High‐Frequency Structures

Thematic vent opening probability maps and hazard assessment of small-scale pyroclastic density currents in the San Salvador Volcanic Complex (El Salvador) and Nejapa-Chiltepe Volcanic Complex (Nicaragua)

Contact Info

Product

Resources

About