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О НОВОЙ МОДЕЛИ ПОВЕДЕНИЯ ЦЕЛЕВОЙ ФУНКЦИИ ДЛЯ ДИАГОНАЛЬНОЙ РЕАЛИЗАЦИИ DIRECT-ПОДОБНЫХ МЕТОДОВ

О НОВОЙ МОДЕЛИ ПОВЕДЕНИЯ ЦЕЛЕВОЙ ФУНКЦИИ ДЛЯ ДИАГОНАЛЬНОЙ РЕАЛИЗАЦИИ DIRECT-ПОДОБНЫХ МЕТОДОВ

Abstract

Рассмотрен актуальный вопрос о построении нового диагонального обобщения метода DIRECT для определения глобальных минимумов липшицевых функций без оценивания констант Липшица. Получено непротиворечивое обоснование существующих диагональных реализаций, предложен альтернативный двухточечный метод, основанный на новых предположениях о поведении целевой функции. Новая модель функции может быть использована для построения прямых диагональных обобщений DIRECT на задачи с ограничениями-неравенствами. Проведенные в 1 численные эксперименты подтверждают эффективность предложенного подхода.

Keywords

ГЛОБАЛЬНАЯ ОПТИМИЗАЦИЯ,ЛИПШИЦЕВЫ ФУНКЦИИ,МЕТОД DIRECT,МНОЖЕСТВО КОНСТАНТ ЛИПШИЦА,ДИАГОНАЛЬНАЯ ДВУХТОЧЕЧНАЯ СХЕМА,ОПЕРАЦИОННЫЕ ХАРАКТЕРИСТИКИ

  • BIP!
    Impact byBIP!
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average