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Application of theParabola Method inNonconvexOptimization :научное издание Kolosnitsyn AntonKhamisov OlegSemenkin Eugene2024 год

Application of the Parabola Method in Nonconvex Optimization : научное издание
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: Application of the Parabola Method in Nonconvex Optimization : научное издание / A. A. Kolosnitsyn [et al.]. - Текст : непосредственный // Algorithms. - 2024. - Т. 17, № 3. - P. 107. - ISSN 1999-4893, DOI 10.3390/a17030107.
Аннотация: <jats:p>We consider the Golden Section and Parabola Methods for solving univariate optimization problems. For multivariate problems, we use these methods as line search procedures in combination with well-known zero-order methods such as the coordinate descent method, the Hooke and Jeeves method, and the Rosenbrock method. A comprehensive numerical comparison of the obtained versions of zero-order methods is given in the present work. The set of test problems includes nonconvex functions with a large number of local and global optimum points. Zero-order methods combined with the Parabola method demonstrate high performance and quite frequently find the global optimum even for large problems (up to 100 variables).</jats:p>
Год издания: 2024
Авторы: Kolosnitsyn Anton , Khamisov Oleg , Semenkin Eugene , Nelyub Vladimir
Источник: Algorithms
Выпуск: Т. 17, № 3
Номера страниц: 107
Держатель оригинала документа: Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia, Scientific and Educational Center “Artificial Intellegence Technologies”, Bauman Moscow State Technical University, 2nd Baumanskaya, Str. 5, 105005 Moscow, Russia
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