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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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