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Probabilistic analysis of the convergence of the differential evolution algorithm

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F20%3A00007960" target="_blank" >RIV/46747885:24510/20:00007960 - isvavai.cz</a>

  • Result on the web

    <a href="http://nnw.cz/doi/2020/NNW.2020.30.017.pdf" target="_blank" >http://nnw.cz/doi/2020/NNW.2020.30.017.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/NNW.2020.30.017" target="_blank" >10.14311/NNW.2020.30.017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Probabilistic analysis of the convergence of the differential evolution algorithm

  • Original language description

    Differential evolution algorithms represent an efficient framework to tackle complicated optimization problems with many variables and involved constraints. Nevertheless, the classic differential evolution algorithms in general do not ensure the convergence to the global minimum of the cost function. Therefore, the authors of the article designed a modification of these algorithms that guarantees the global convergence in the asymptotic and probabilistic sense. The modification consists in adding a certain ratio of random individuals to each generation formed by the algorithm. The random individuals limit the premature convergence to the local minimum and contribute to more thorough exploration of the search space. This article concentrates specifically on the role of random individuals in the identification of the global minimum of the cost function. Besides, the paper also contains some useful estimates of the probability of finding the global minimum of the corresponding cost function.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_025%2F0007293" target="_blank" >EF16_025/0007293: Modular platform for autonomous chassis of specialized electric vehicles for freight and equipment transportation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Neural Netwok World, Volume 30 (2020)

  • ISSN

    2336-4335

  • e-ISSN

  • Volume of the periodical

    30

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    15

  • Pages from-to

    249-263

  • UT code for WoS article

    000589946600003

  • EID of the result in the Scopus database

    2-s2.0-85099372583