A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems

Artificial Bee Colony (ABC) is a Swarm Intelligence optimization algorithm well known for its versatility. The selection of decision variables to update is purely stochastic, incurring several issues to the local search capability of the ABC. To address these issues, a self-adaptive decision variabl...

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Main Authors: Marco Antonio Florenzano Mollinetti, Bernardo Bentes Gatto, Mário Tasso Ribeiro Serra Neto, Takahito Kuno
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/9/1004
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author Marco Antonio Florenzano Mollinetti
Bernardo Bentes Gatto
Mário Tasso Ribeiro Serra Neto
Takahito Kuno
author_facet Marco Antonio Florenzano Mollinetti
Bernardo Bentes Gatto
Mário Tasso Ribeiro Serra Neto
Takahito Kuno
author_sort Marco Antonio Florenzano Mollinetti
collection DOAJ
description Artificial Bee Colony (ABC) is a Swarm Intelligence optimization algorithm well known for its versatility. The selection of decision variables to update is purely stochastic, incurring several issues to the local search capability of the ABC. To address these issues, a self-adaptive decision variable selection mechanism is proposed with the goal of balancing the degree of exploration and exploitation throughout the execution of the algorithm. This selection, named Adaptive Decision Variable Matrix (A-DVM), represents both stochastic and deterministic parameter selection in a binary matrix and regulates the extent of how much each selection is employed based on the estimation of the sparsity of the solutions in the search space. The influence of the proposed approach to performance and robustness of the original algorithm is validated by experimenting on 15 highly multimodal benchmark optimization problems. Numerical comparison on those problems is made against the ABC and their variants and prominent population-based algorithms (e.g., Particle Swarm Optimization and Differential Evolution). Results show an improvement in the performance of the algorithms with the A-DVM in the most challenging instances.
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spelling doaj.art-58d94af8d829492eb22ff25eae57abd72023-11-20T13:01:27ZengMDPI AGEntropy1099-43002020-09-01229100410.3390/e22091004A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal ProblemsMarco Antonio Florenzano Mollinetti0Bernardo Bentes Gatto1Mário Tasso Ribeiro Serra Neto2Takahito Kuno3School of Systems and Information Engineering, University of Tsukuba, Tsukuba 305-8577, JapanCenter for Artificial Intelligence Research (C-AIR), University of Tsukuba, Tsukuba 305-8577, JapanDepartment of Computer Science, University of Porto, 4050-290 Porto, PortugalSchool of Systems and Information Engineering, University of Tsukuba, Tsukuba 305-8577, JapanArtificial Bee Colony (ABC) is a Swarm Intelligence optimization algorithm well known for its versatility. The selection of decision variables to update is purely stochastic, incurring several issues to the local search capability of the ABC. To address these issues, a self-adaptive decision variable selection mechanism is proposed with the goal of balancing the degree of exploration and exploitation throughout the execution of the algorithm. This selection, named Adaptive Decision Variable Matrix (A-DVM), represents both stochastic and deterministic parameter selection in a binary matrix and regulates the extent of how much each selection is employed based on the estimation of the sparsity of the solutions in the search space. The influence of the proposed approach to performance and robustness of the original algorithm is validated by experimenting on 15 highly multimodal benchmark optimization problems. Numerical comparison on those problems is made against the ABC and their variants and prominent population-based algorithms (e.g., Particle Swarm Optimization and Differential Evolution). Results show an improvement in the performance of the algorithms with the A-DVM in the most challenging instances.https://www.mdpi.com/1099-4300/22/9/1004artificial bee colonyswarm intelligencemultimodal problems
spellingShingle Marco Antonio Florenzano Mollinetti
Bernardo Bentes Gatto
Mário Tasso Ribeiro Serra Neto
Takahito Kuno
A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
Entropy
artificial bee colony
swarm intelligence
multimodal problems
title A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
title_full A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
title_fullStr A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
title_full_unstemmed A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
title_short A-DVM: A Self-Adaptive Variable Matrix Decision Variable Selection Scheme for Multimodal Problems
title_sort a dvm a self adaptive variable matrix decision variable selection scheme for multimodal problems
topic artificial bee colony
swarm intelligence
multimodal problems
url https://www.mdpi.com/1099-4300/22/9/1004
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AT bernardobentesgatto advmaselfadaptivevariablematrixdecisionvariableselectionschemeformultimodalproblems
AT mariotassoribeiroserraneto advmaselfadaptivevariablematrixdecisionvariableselectionschemeformultimodalproblems
AT takahitokuno advmaselfadaptivevariablematrixdecisionvariableselectionschemeformultimodalproblems