Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection

Abstract The Runge–Kutta optimiser (RUN) algorithm, renowned for its powerful optimisation capabilities, faces challenges in dealing with increasing complexity in real‐world problems. Specifically, it shows deficiencies in terms of limited local exploration capabilities and less precise solutions. T...

Full description

Saved in:
Bibliographic Details
Main Authors: Jinge Shi, Yi Chen, Ali Asghar Heidari, Zhennao Cai, Huiling Chen, Guoxi Liang
Format: Article
Language:English
Published: Wiley 2025-04-01
Series:CAAI Transactions on Intelligence Technology
Subjects:
Online Access:https://doi.org/10.1049/cit2.12387
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850156419633905664
author Jinge Shi
Yi Chen
Ali Asghar Heidari
Zhennao Cai
Huiling Chen
Guoxi Liang
author_facet Jinge Shi
Yi Chen
Ali Asghar Heidari
Zhennao Cai
Huiling Chen
Guoxi Liang
author_sort Jinge Shi
collection DOAJ
description Abstract The Runge–Kutta optimiser (RUN) algorithm, renowned for its powerful optimisation capabilities, faces challenges in dealing with increasing complexity in real‐world problems. Specifically, it shows deficiencies in terms of limited local exploration capabilities and less precise solutions. Therefore, this research aims to integrate the topological search (TS) mechanism with the gradient search rule (GSR) into the framework of RUN, introducing an enhanced algorithm called TGRUN to improve the performance of the original algorithm. The TS mechanism employs a circular topological scheme to conduct a thorough exploration of solution regions surrounding each solution, enabling a careful examination of valuable solution areas and enhancing the algorithm’s effectiveness in local exploration. To prevent the algorithm from becoming trapped in local optima, the GSR also integrates gradient descent principles to direct the algorithm in a wider investigation of the global solution space. This study conducted a serious of experiments on the IEEE CEC2017 comprehensive benchmark function to assess the enhanced effectiveness of TGRUN. Additionally, the evaluation includes real‐world engineering design and feature selection problems serving as an additional test for assessing the optimisation capabilities of the algorithm. The validation outcomes indicate a significant improvement in the optimisation capabilities and solution accuracy of TGRUN.
format Article
id doaj-art-3f4f8e6a8a9f4f27bd39a133ba6aac5f
institution OA Journals
issn 2468-2322
language English
publishDate 2025-04-01
publisher Wiley
record_format Article
series CAAI Transactions on Intelligence Technology
spelling doaj-art-3f4f8e6a8a9f4f27bd39a133ba6aac5f2025-08-20T02:24:33ZengWileyCAAI Transactions on Intelligence Technology2468-23222025-04-0110255761410.1049/cit2.12387Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selectionJinge Shi0Yi Chen1Ali Asghar Heidari2Zhennao Cai3Huiling Chen4Guoxi Liang5Department of Computer Science and Artificial Intelligence Wenzhou University Wenzhou ChinaDepartment of Computer Science and Artificial Intelligence Wenzhou University Wenzhou ChinaSchool of Surveying and Geospatial Engineering College of Engineering University of Tehran Tehran IranDepartment of Computer Science and Artificial Intelligence Wenzhou University Wenzhou ChinaDepartment of Computer Science and Artificial Intelligence Wenzhou University Wenzhou ChinaDepartment of Artificial Intelligence Wenzhou Polytechnic Wenzhou ChinaAbstract The Runge–Kutta optimiser (RUN) algorithm, renowned for its powerful optimisation capabilities, faces challenges in dealing with increasing complexity in real‐world problems. Specifically, it shows deficiencies in terms of limited local exploration capabilities and less precise solutions. Therefore, this research aims to integrate the topological search (TS) mechanism with the gradient search rule (GSR) into the framework of RUN, introducing an enhanced algorithm called TGRUN to improve the performance of the original algorithm. The TS mechanism employs a circular topological scheme to conduct a thorough exploration of solution regions surrounding each solution, enabling a careful examination of valuable solution areas and enhancing the algorithm’s effectiveness in local exploration. To prevent the algorithm from becoming trapped in local optima, the GSR also integrates gradient descent principles to direct the algorithm in a wider investigation of the global solution space. This study conducted a serious of experiments on the IEEE CEC2017 comprehensive benchmark function to assess the enhanced effectiveness of TGRUN. Additionally, the evaluation includes real‐world engineering design and feature selection problems serving as an additional test for assessing the optimisation capabilities of the algorithm. The validation outcomes indicate a significant improvement in the optimisation capabilities and solution accuracy of TGRUN.https://doi.org/10.1049/cit2.12387engineering designgradient search rulemetaheuristic algorithmRunge–Kutta optimizertopological search
spellingShingle Jinge Shi
Yi Chen
Ali Asghar Heidari
Zhennao Cai
Huiling Chen
Guoxi Liang
Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
CAAI Transactions on Intelligence Technology
engineering design
gradient search rule
metaheuristic algorithm
Runge–Kutta optimizer
topological search
title Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
title_full Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
title_fullStr Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
title_full_unstemmed Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
title_short Topological search and gradient descent boosted Runge–Kutta optimiser with application to engineering design and feature selection
title_sort topological search and gradient descent boosted runge kutta optimiser with application to engineering design and feature selection
topic engineering design
gradient search rule
metaheuristic algorithm
Runge–Kutta optimizer
topological search
url https://doi.org/10.1049/cit2.12387
work_keys_str_mv AT jingeshi topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection
AT yichen topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection
AT aliasgharheidari topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection
AT zhennaocai topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection
AT huilingchen topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection
AT guoxiliang topologicalsearchandgradientdescentboostedrungekuttaoptimiserwithapplicationtoengineeringdesignandfeatureselection