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Recently, much progress has been made on particle swarm optimization (PSO). A number of works have been devoted to analyzing the convergence of the underlying algorithms. Nevertheless, in most cases, rather simplified hypotheses are used.…

Optimization and Control · Mathematics 2016-11-15 Quan Yuan , George Yin

Particle Swarm Optimization (PSO) is a meta-heuristic for continuous black-box optimization problems. In this paper we focus on the convergence of the particle swarm, i.e., the exploitation phase of the algorithm. We introduce a new…

Optimization and Control · Mathematics 2020-06-09 Bernd Bassimir , Alexander Raß , Rolf Wanka

Particle swarm optimization algorithm is a stochastic meta-heuristic solving global optimization problems appreciated for its efficacity and simplicity. It consists in a swarm of particles interacting among themselves and searching the…

Probability · Mathematics 2024-09-23 Vianney Bruned , André Mas , Sylvain Wlodarczyk

Particle swarm optimization (PSO) is a widely used nature-inspired meta-heuristic for solving continuous optimization problems. However, when running the PSO algorithm, one encounters the phenomenon of so-called stagnation, that means in…

Neural and Evolutionary Computing · Computer Science 2013-08-09 Manuel Schmitt , Rolf Wanka

This paper derives, under minimal modelling assumptions, a simple to use theorem for obtaining both order-$1$ and order-$2$ stability criteria for a common class of particle swarm optimization (PSO) variants. Specifically, PSO variants that…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Christopher W Cleghorn , Belinda Stapelberg

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

Neural and Evolutionary Computing · Computer Science 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

Particle swarm optimization (PSO) is a search algorithm based on stochastic and population-based adaptive optimization. In this paper, a pathfinding strategy is proposed to improve the efficiency of path planning for a broad range of…

Neural and Evolutionary Computing · Computer Science 2022-06-24 David , Budi Adiperdana

Particle Swarm Optimization (PSO) is a nature-inspired meta-heuristic for solving continuous optimization problems. In the literature, the potential of the particles of swarm has been used to show that slightly modified PSO guarantees…

Artificial Intelligence · Computer Science 2015-05-01 Alexander Raß , Manuel Schmitt , Rolf Wanka

The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solutions. The proposed methodology uses a population of integer…

Neural and Evolutionary Computing · Computer Science 2010-03-16 Siby Abraham , Sugata Sanyal , Mukund Sanglikar

The aim of paper is to apply two types of particle swarm optimization, global best andlocal best PSO to a constrained maximum likelihood estimation problem in pseudotime anal-ysis, a sub-field in bioinformatics. The results have shown that…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Elvis Cui , Dongyuan Song , Weng Kee Wong

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical…

Neural and Evolutionary Computing · Computer Science 2015-11-20 J. Michael Herrmann , Adam Erskine , Thomas Joyce

In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus and the analysis of partial differential equations. Based on a time-continuous formulation…

Numerical Analysis · Mathematics 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

The Particle Swarm Optimisation (PSO) algorithm has undergone countless modifications and adaptations since its original formulation in 1995. Some of these have become mainstream whereas many others have not been adopted and faded away.…

Neural and Evolutionary Computing · Computer Science 2021-04-27 Mauro Sebastián Innocente

Particle swarm optimization (PSO) is an iterative search method that moves a set of candidate solution around a search-space towards the best known global and local solutions with randomized step lengths. PSO frequently accelerates…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Johannes Jakubik , Adrian Binding , Stefan Feuerriegel

A Particle Swarm Optimizer for the search of balanced Boolean functions with good cryptographic properties is proposed in this paper. The algorithm is a modified version of the permutation PSO by Hu, Eberhart and Shi which preserves the…

Neural and Evolutionary Computing · Computer Science 2024-01-10 Luca Mariot , Alberto Leporati , Luca Manzoni

The particle swarm optimization (PSO) algorithm has been recently introduced in the non--linear programming, becoming widely studied and used in a variety of applications. Starting from its original formulation, many variants for…

Optimization and Control · Mathematics 2020-04-15 Silvano Chiaradonna , Felicita Di Giandomenico , Nadir Murru

The search for the model or ingredients that describe the current vision of our cosmos has led to the creation of a set of highly favorable experiments, and therefore a great flow of information. Due to this torrent of information and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-11 Daniel Morales Hernández , Gabriela Garcia-Arroyo , J. Alberto Vazquez

In this study we address existing deficiencies in the literature on applications of Particle Swarm Optimization to generate optimal designs. We present the results of a large computer study in which we bench-mark both efficiency and…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Stephen J. Walsh , John J. Borkowski

General purpose optimization routines such as nlminb, optim (R) or nlmixed (SAS) are frequently used to estimate model parameters in nonstandard distributions. This paper presents Particle Swarm Optimization (PSO), as an alternative to many…

Machine Learning · Statistics 2024-05-22 Sisi Shao , Junhyung Park , Weng Kee Wong

In this paper we consider a continuous description based on stochastic differential equations of the popular particle swarm optimization (PSO) process for solving global optimization problems and derive in the large particle limit the…

Numerical Analysis · Mathematics 2020-12-11 Sara Grassi , Lorenzo Pareschi
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