title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°Ð·Ð±Ð¸ÐµÐ½Ð¸Ñ Ð½Ð° ÑÑÐ±Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸ Ð² Ð¼ÐµÑÐ¾Ð´Ðµ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Development of an algorithm for adaptive subdivision into subpopulations in the method of parallel difference evolution
Creators: name: Ð¥Ð¾Ð¼ÐµÑ, Ð¡ÐµÐ¼ÐµÐ½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð°Ñ ÑÐ²Ð¾Ð»ÑÑÐ¸Ñ
DEEP
ICA
ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ñ
Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ
differential evolution
segmentation
modification

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸, ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¿Ð°ÐºÐµÑÐµ DEEP, Ð¿ÑÑÑÐ¼ Ð²Ð½ÐµÐ´ÑÐµÐ½Ð¸Ñ Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°Ð·Ð±Ð¸ÐµÐ½Ð¸Ñ Ð½Ð°Ð±Ð¾ÑÐ° Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´Ð¾Ð² Ð½Ð° ÑÑÐ±Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿Ð¾ÑÐ¾Ð³Ð¾Ð²Ð¾Ð¹ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¹ ÐºÐ¾Ð´ Ð½Ð° ÑÐ·ÑÐºÐµ C, ÑÐµÐ°Ð»Ð¸Ð·ÑÑÑÐ¸Ð¹ Ð´Ð°Ð½Ð½ÑÑ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ, Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¹ ÐºÐ¾Ð´ Ð½Ð° ÑÐ·ÑÐºÐµ Python, ÑÐµÐ°Ð»Ð¸Ð·ÑÑÑÐ¸Ð¹ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ñ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹. ÐÐ»Ñ Ð¿ÑÐ¾Ð²ÐµÑÐºÐ¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð½Ð° Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÑ Ð¿Ð¾ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐµÑÑÐ¾Ð²Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸ Ð Ð°ÑÑÑÐ¸Ð³Ð¸Ð½Ð° Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ. Ð¢Ð°ÐºÐ¶Ðµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð±ÑÐ» Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½ Ð´Ð»Ñ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð²Ð½ÐµÐ´ÑÐµÐ½Ð¸Ðµ Ð°Ð´Ð°Ð¿ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°Ð·Ð±Ð¸ÐµÐ½Ð¸Ñ Ð½Ð°Ð±Ð¾ÑÐ° Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´Ð¾Ð² Ð½Ð° ÑÑÐ±Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÐ½Ð¸Ð·Ð¸ÑÑ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ Ð¸ÑÐµÑÐ°ÑÐ¸Ð¹, Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÑ Ð´Ð»Ñ Ð´Ð¾-ÑÑÐ¸Ð¶ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼ÑÐ¼Ð° ÑÐµÑÑÐ¾Ð²Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸, ÐºÑÐ¾Ð¼Ðµ ÑÐ¾Ð³Ð¾, Ð¼Ð¾Ð´Ð¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð¼Ðµ-ÑÐ¾Ð´ ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð¼Ð¾Ð¶ÐµÑ ÑÑÐ¿ÐµÑÐ½Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÑÑÑÑ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¿Ð¾ÑÐ¾Ð³Ð¾Ð²ÑÑ ÑÑÐ¾Ð²Ð½ÐµÐ¹ Ð´Ð»Ñ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¹.
description: This work is devoted to the modification of the method of difference evolution, implemented in the DEEP software package, by introducing adaptive partitioning of a set of individuals into subpopulations, as well as the development of a modification of the method for solving the problem of threshold segmentation of images. In the course of the work, a program code in the C language was developed that implements this modification, and a program code in Python that implements image segmentation. To test the effect of this modification on the performance of the algorithm, numerical experiments were carried out to optimize the parameters of the Rastrigin test function and the results obtained were analyzed. A modified method was also used for image segmentation. It is shown that the introduction of adaptive partitioning of a set of individuals into subpopulations reduces the number of iterations necessary to achieve the optimum of the test function, in addition, the modified method of difference evolution can be successfully used to solve the problem of finding threshold levels for image segmentation.