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Consensus based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus based…

Optimization and Control · Mathematics 2024-09-06 Marvin Koß , Simon Weissmann , Jakob Zech

Solving non-convex minimization problems using multi-particle metaheuristic derivative-free optimization methods is still an active area of research. Popular methods are Particle Swarm Optimization (PSO) methods, that iteratively update a…

Optimization and Control · Mathematics 2025-08-21 Michael Herty , Sara Veneruso

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

We introduce a new consensus based optimization (CBO) method where interacting particle system is driven by jump-diffusion stochastic differential equations. We study well-posedness of the particle system as well as of its mean-field limit.…

Probability · Mathematics 2023-05-23 D. Kalise , A. Sharma , M. V. Tretyakov

The dynamic of real-world optimization problems raises new challenges to the traditional particle swarm optimization (PSO). Responding to these challenges, the dynamic optimization has received considerable attention over the past decade.…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Ahlem Aboud , Raja Fdhila , Adel M. Alimi

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 swam optimization (PSO) is a popular stochastic optimization method that has found wide applications in diverse fields. However, PSO suffers from high computational complexity and slow convergence speed. High computational…

Neural and Evolutionary Computing · Computer Science 2014-01-06 Muhammad Saqib Sohail , Muhammad Omer Bin Saeed , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

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

In this paper, we propose consensus-based optimization for saddle point problems (CBO-SP), a novel multi-particle metaheuristic derivative-free optimization method capable of provably finding global Nash equilibria. Following the idea of…

Optimization and Control · Mathematics 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

We propose novel particle swarm optimization (PSO) variants incorporated with deep neural networks (DNNs) for particles to pursue globally optimal positions in dynamic environments. PSO is a heuristic approach for solving complex…

Neural and Evolutionary Computing · Computer Science 2026-04-16 Stephen Raharja , Toshiharu Sugawara

Swarm based optimization algorithms have demonstrated remarkable success in solving complex optimization problems. However, their widespread adoption remains sceptical due to limited transparency in how different algorithmic components…

Neural and Evolutionary Computing · Computer Science 2026-04-01 Nitin Gupta , Bapi Dutta , Anupam Yadav

Particle Swarm Optimization (PSO) is a popular nature-inspired meta-heuristic for solving continuous optimization problems. Although this technique is widely used, the understanding of the mechanisms that make swarms so successful is still…

Neural and Evolutionary Computing · Computer Science 2014-09-02 Vanessa Lange , Manuel Schmitt , Rolf Wanka

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

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

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

This paper proposes the application of particle swarm optimization (PSO) to the problem of finite element model (FEM) selection. This problem arises when a choice of the best model for a system has to be made from set of competing models,…

Artificial Intelligence · Computer Science 2009-10-13 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

This thesis is concerned with continuous, static, and single-objective optimization problems subject to inequality constraints. Nevertheless, some methods to handle other kinds of problems are briefly reviewed. The particle swarm…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente

Nature has long inspired the development of swarm intelligence (SI), a key branch of artificial intelligence that models collective behaviors observed in biological systems for solving complex optimization problems. Particle swarm…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Dikshit Chauhan , Shivani , P. N. Suganthan

As one of the most prominent swarm intelligence algorithms, particle swarm optimization (PSO) has been extensively applied to solve global optimization problems. The theoretical analysis on the ability of PSO to escape from local optimum…

Optimization and Control · Mathematics 2025-09-17 Haoxin Wang , Libao Shi

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