Harmonic oscillator based particle swarm optimization.

Numerical optimization techniques are widely applied across various fields of science and technology, ranging from determining the minimal energy of systems in physics and chemistry to identifying optimal routes in logistics or strategies for high-speed trading. Here, we present a novel method that...

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Main Authors: Yury Chernyak, Ijaz Ahamed Mohammad, Nikolas Masnicak, Matej Pivoluska, Martin Plesch
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0326173
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author Yury Chernyak
Ijaz Ahamed Mohammad
Nikolas Masnicak
Matej Pivoluska
Martin Plesch
author_facet Yury Chernyak
Ijaz Ahamed Mohammad
Nikolas Masnicak
Matej Pivoluska
Martin Plesch
author_sort Yury Chernyak
collection DOAJ
description Numerical optimization techniques are widely applied across various fields of science and technology, ranging from determining the minimal energy of systems in physics and chemistry to identifying optimal routes in logistics or strategies for high-speed trading. Here, we present a novel method that integrates particle swarm optimization (PSO), a highly effective and widely used algorithm inspired by the collective behavior of bird flocks searching for food, with the physical principle of conserving energy and damping in harmonic oscillators. This physics-based approach allows smoother convergence throughout the optimization process and wider tunability options. We evaluated our method on a standard set of test functions and demonstrated that, in most cases, it outperforms its natural competitors, including the original PSO, as well as commonly used optimization methods such as COBYLA and Differential Evolution.
format Article
id doaj-art-50a2da892612435d98e216b59fb31b05
institution Kabale University
issn 1932-6203
language English
publishDate 2025-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj-art-50a2da892612435d98e216b59fb31b052025-08-20T03:50:26ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01206e032617310.1371/journal.pone.0326173Harmonic oscillator based particle swarm optimization.Yury ChernyakIjaz Ahamed MohammadNikolas MasnicakMatej PivoluskaMartin PleschNumerical optimization techniques are widely applied across various fields of science and technology, ranging from determining the minimal energy of systems in physics and chemistry to identifying optimal routes in logistics or strategies for high-speed trading. Here, we present a novel method that integrates particle swarm optimization (PSO), a highly effective and widely used algorithm inspired by the collective behavior of bird flocks searching for food, with the physical principle of conserving energy and damping in harmonic oscillators. This physics-based approach allows smoother convergence throughout the optimization process and wider tunability options. We evaluated our method on a standard set of test functions and demonstrated that, in most cases, it outperforms its natural competitors, including the original PSO, as well as commonly used optimization methods such as COBYLA and Differential Evolution.https://doi.org/10.1371/journal.pone.0326173
spellingShingle Yury Chernyak
Ijaz Ahamed Mohammad
Nikolas Masnicak
Matej Pivoluska
Martin Plesch
Harmonic oscillator based particle swarm optimization.
PLoS ONE
title Harmonic oscillator based particle swarm optimization.
title_full Harmonic oscillator based particle swarm optimization.
title_fullStr Harmonic oscillator based particle swarm optimization.
title_full_unstemmed Harmonic oscillator based particle swarm optimization.
title_short Harmonic oscillator based particle swarm optimization.
title_sort harmonic oscillator based particle swarm optimization
url https://doi.org/10.1371/journal.pone.0326173
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AT ijazahamedmohammad harmonicoscillatorbasedparticleswarmoptimization
AT nikolasmasnicak harmonicoscillatorbasedparticleswarmoptimization
AT matejpivoluska harmonicoscillatorbasedparticleswarmoptimization
AT martinplesch harmonicoscillatorbasedparticleswarmoptimization