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This article is devoted to the development of stochastic methods of global extremum search. The modification of the annealing simulation algorithm [Ermakov and Semenchikov, 2019] is combined with the covariance matrix adaptation method [Ermakov, Kulikov and Leora, 2017]. In this case, an effective computational approach [Ermakov and Mitioglova, 1977] is used for modeling the multivariate normal distribution. The special algorithms of covariance matrices adaptation are suggested to avoid the obtaining a local extremum instead of a global one. The methods proposed are successfully applied to the problem of nonlinear regression parameters calculation. This problem often arises in physics and mathematics and may be reduced to global extremum search. In particular case considered the extremum of ravine function of 14 variables was found.
Язык оригиналаанглийский
Номер статьи3
Страницы (с-по)13-17
Число страниц5
ЖурналCybernetics and Physics
Том11
Номер выпуска1
DOI
СостояниеОпубликовано - 2 июн 2022

    Области исследований

  • Genetic stochastics algorithms; Global extremum; Covariance matrics; Normfl distribution; Nonlinear regression

    Предметные области Scopus

  • Математика (все)
  • Теория оптимизации
  • Искусственный интеллект
  • Обработка сигналов
  • Гидродинамика и трансферные процессы
  • Компьютерное зрение и распознавание образов
  • Физика и астрономия (разное)

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