Multiple Global Peaks Big Bang-Big Crunch Algorithm for Multimodal Optimization

Fuente: arXiv
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Hauptverfasser: Stroppa, Fabio, Astar, Ahmet
Format: Preprint
Veröffentlicht: 2024
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author Stroppa, Fabio
Astar, Ahmet
author_facet Stroppa, Fabio
Astar, Ahmet
contents The main challenge of multimodal optimization problems is identifying multiple peaks with high accuracy in multidimensional search spaces with irregular landscapes. This work proposes the Multiple Global Peaks Big Bang-Big Crunch (MGP-BBBC) algorithm, which addresses the challenge of multimodal optimization problems by introducing a specialized mechanism for each operator. The algorithm expands the Big Bang-Big Crunch algorithm, a state-of-the-art metaheuristic inspired by the universe's evolution. Specifically, MGP-BBBC groups the best individuals of the population into cluster-based centers of mass and then expands them with a progressively lower disturbance to guarantee convergence. During this process, it (i) applies a distance-based filtering to remove unnecessary elites such that the ones on smaller peaks are not lost, (ii) promotes isolated individuals based on their niche count after clustering, and (iii) balances exploration and exploitation during offspring generation to target specific accuracy levels. Experimental results on twenty multimodal benchmark test functions show that MGP-BBBC generally performs better or competitively with respect to other state-of-the-art multimodal optimizers.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18102
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multiple Global Peaks Big Bang-Big Crunch Algorithm for Multimodal Optimization
Stroppa, Fabio
Astar, Ahmet
Neural and Evolutionary Computing
Artificial Intelligence
The main challenge of multimodal optimization problems is identifying multiple peaks with high accuracy in multidimensional search spaces with irregular landscapes. This work proposes the Multiple Global Peaks Big Bang-Big Crunch (MGP-BBBC) algorithm, which addresses the challenge of multimodal optimization problems by introducing a specialized mechanism for each operator. The algorithm expands the Big Bang-Big Crunch algorithm, a state-of-the-art metaheuristic inspired by the universe's evolution. Specifically, MGP-BBBC groups the best individuals of the population into cluster-based centers of mass and then expands them with a progressively lower disturbance to guarantee convergence. During this process, it (i) applies a distance-based filtering to remove unnecessary elites such that the ones on smaller peaks are not lost, (ii) promotes isolated individuals based on their niche count after clustering, and (iii) balances exploration and exploitation during offspring generation to target specific accuracy levels. Experimental results on twenty multimodal benchmark test functions show that MGP-BBBC generally performs better or competitively with respect to other state-of-the-art multimodal optimizers.
title Multiple Global Peaks Big Bang-Big Crunch Algorithm for Multimodal Optimization
topic Neural and Evolutionary Computing
Artificial Intelligence
url https://arxiv.org/abs/2410.18102