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The Particle Swarm Optimization (PSO) algorithm is developed for solving the Schaffer F6 function in fewer than 4000 function evaluations on a total of 30 runs. Four variations of the Full Model of Particle Swarm Optimization (PSO)…

Neural and Evolutionary Computing · Computer Science 2019-11-19 Alison Jenkins , Vinika Gupta , Alexis Myrick , Mary Lenoir

Particle Swarm Optimization (PSO) is an Evolutionary Algorithm (EA) that utilizes a swarm of particles to solve an optimization problem. Slow Intelligence System (SIS) is a learning framework which slowly learns the solution to a problem…

Neural and Evolutionary Computing · Computer Science 2018-04-04 Mohammad Hasanzadeh Mofrad , S. K. Chang

For unstructured experimental units, the minimum aberration due to Fries and Hunter (1980) is a popular criterion for choosing regular fractional factorial designs. Following which, many related studies have focused on multi-stratum…

Methodology · Statistics 2022-11-14 Xie-Yu Li , Wei-Yang Yu , Ming-Chung Chang

Optimizing the design of spur gears, regarding their mass or failure reduction, leads to reduced costs. The proposed work is aimed at using Particle Swarm Optimization (PSO) to solve single and multiple-objective optimization problems…

Computational Physics · Physics 2024-01-17 Ricardo Fitas , Carlos Fernandes , Carlos Conceição António

A particle swarm optimizer (PSO) loosely based on the phenomena of crystallization and a chaos factor which follows the complimentary error function is described. The method features three phases: diffusion, directed motion, and nucleation.…

Neural and Evolutionary Computing · Computer Science 2018-02-13 Casey Kneale , Karl S. Booksh

Consensus-based optimization (CBO) is a class of metaheuristic algorithms designed for global optimization problems. In the many-particle limit, classical CBO dynamics can be rigorously connected to mean-field equations that ensure…

Optimization and Control · Mathematics 2025-06-11 Jonathan Franceschi , Lorenzo Pareschi , Mattia Zanella

In this paper, we focus on finding the global minimizer of a general unconstrained nonsmooth nonconvex optimization problem. Taking advantage of the smoothing method and the consensus-based optimization (CBO) method, we propose a novel…

Optimization and Control · Mathematics 2025-01-14 Jiazhen Wei , Wei Bian

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

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

We propose a zero-order optimization method for sequential min-max problems based on two populations of interacting particles. The systems are coupled so that one population aims to solve the inner maximization problem, while the other aims…

Optimization and Control · Mathematics 2024-07-25 Giacomo Borghi , Hui Huang , Jinniao Qiu

In this chapter we give an overview of the consensus-based global optimization algorithm and its recent variants. We recall the formulation and analytical results of the original model, then we discuss variants using component-wise…

Optimization and Control · Mathematics 2021-04-06 Claudia Totzeck

This paper presents a particle swarm optimizer for production of endurance time excitation functions. These excitations are intensifying acceleration time histories that are used as input motions in endurance time method. The accuracy of…

Signal Processing · Electrical Eng. & Systems 2019-11-01 Mohammadreza Mashayekhi , Mojtaba Harati , Homayoon E. Estekanchi

Swarm intelligence effectively optimizes complex systems across fields like engineering and healthcare, yet algorithm solutions often suffer from low reliability due to unclear configurations and hyperparameters. This study analyzes…

Machine Learning · Computer Science 2025-08-13 Nitin Gupta , Indu Bala , Bapi Dutta , Luis Martínez , Anupam Yadav

Metaheuristic algorithms are powerful tools for global optimization, particularly for non-convex and non-differentiable problems where exact methods are often impractical. Particle-based optimization methods, inspired by swarm intelligence…

Optimization and Control · Mathematics 2026-03-23 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

Particle swarm optimization is a popular method for solving difficult optimization problems. There have been attempts to formulate the method in formal probabilistic or stochastic terms (e.g. bare bones particle swarm) with the aim to…

Neural and Evolutionary Computing · Computer Science 2012-11-19 Peter Andras

Significant research has been carried out in the recent years for generating systems exhibiting intelligence for realizing optimized routing in networks. In this paper, a grade based twolevel based node selection method along with Particle…

Networking and Internet Architecture · Computer Science 2011-07-12 T. R. Gopalakrishnan Nair , Kavitha Sooda

We introduce a practical method for incorporating equality and inequality constraints in global optimization methods based on stochastic interacting particle systems, specifically consensus-based optimization (CBO) and ensemble Kalman…

Optimization and Control · Mathematics 2021-11-05 J. A. Carrillo , C. Totzeck , U. Vaes

Convolved Gaussian Process (CGP) is able to capture the correlations not only between inputs and outputs but also among the outputs. This allows a superior performance of using CGP than standard Gaussian Process (GP) in the modelling of…

Neural and Evolutionary Computing · Computer Science 2017-09-14 Gang Cao , Edmund M-K Lai , Fakhrul Alam

This work utilizes a particle swarm optimizer (PSO) for initial orbit determination for a chief and deputy scenario in the circular restricted three-body problem (CR3BP). The PSO is used to minimize the difference between actual and…

We formulate the swarming optimization problem as a weakly coupled, dissipative dynamical system governed by a controlled energy dissipation rate and initial velocities that adhere to the nonequilibrium Onsager principle. In this framework,…

Numerical Analysis · Mathematics 2025-07-15 Xuelong Gu , Qi Wang
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