Distance-based optimal sampling in a hypercube: Analogies to N-body systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F19%3APU134106" target="_blank" >RIV/00216305:26110/19:PU134106 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0965997819301164" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0965997819301164</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.advengsoft.2019.102709" target="_blank" >10.1016/j.advengsoft.2019.102709</a>
Alternative languages
Result language
angličtina
Original language name
Distance-based optimal sampling in a hypercube: Analogies to N-body systems
Original language description
A method is proposed for the construction of uniformly distributed point sets within a design domain using an analogy to a dynamical system of interacting particles. The possibility of viewing various distance-based optimality criteria as formulas representing the potential energy of a system of charged particles is discussed. The potential energy is employed in deriving the equations of motion of the particles. The particles are either attracted or repelled and dissipative dynamical systems can be simulated to achieve optimal and near-optimal arrangements of points. The design domain is set up as an Nvar-dimensional unit hypercube, with Nvar being the number of variables (factors). The number of points is equal to the number of simulations (levels). The periodicity assumption of the design domain is shown to be an elegant way to obtain statistically uniform coverage of the design domain. The ϕp criterion, which is a generalization of the Maximin criterion, is selected in order to demonstrate its analogy with an N-body system. This criterion guarantees that the points are spread uniformly within the design domain. The solution to such an N-body system is presented. The obtained designs are shown to outperform the existing optimal designs in various types of applications: multidimensional numerical integration, statistical exploration of computer models, reliability analyses of engineering systems, and screenings or exploratory designs for the global optimization/minimization of functions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20101 - Civil engineering
Result continuities
Project
<a href="/en/project/GA16-22230S" target="_blank" >GA16-22230S: Development of advanced sampling methods for statistical analysis of structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ADVANCES IN ENGINEERING SOFTWARE
ISSN
0965-9978
e-ISSN
1873-5339
Volume of the periodical
137
Issue of the periodical within the volume
102709
Country of publishing house
GB - UNITED KINGDOM
Number of pages
16
Pages from-to
1-16
UT code for WoS article
000489017800001
EID of the result in the Scopus database
2-s2.0-85071721151