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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

We study the variant of Particle Swarm Optimization (PSO) that applies random velocities in a dimension instead of the regular velocity update equations as soon as the so-called potential of the swarm falls below a certain bound in this…

Neural and Evolutionary Computing · Computer Science 2020-12-22 Bernd Bassimir , Manuel Schmitt , Rolf Wanka

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

Medical image registration seeks to find an optimal spatial transformation that best aligns the underlying anatomical structures. These problems usually require the optimization of a similarity metric. Swarm Intelligence techniques are very…

Neural and Evolutionary Computing · Computer Science 2023-02-24 Lucia Ballerini

Particle swarm optimization comes under lot of changes after James Kennedy and Russell Eberhart first proposes the idea in 1995. The changes has been done mainly on Inertia parameters in velocity updating equation so that the convergence…

Artificial Intelligence · Computer Science 2018-02-27 Rajesh Misra , Kumar S. Ray

Particle filtering is a powerful tool for target tracking. When the budget for observations is restricted, it is necessary to reduce the measurements to a limited amount of samples carefully selected. A discrete stochastic nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Antoine Aspeel , Amaury Gouverneur , Raphaël M. Jungers , Benoît Macq

This paper addresses the issues of controlling and analyzing the population diversity in quantum-behaved particle swarm optimization (QPSO), which is an optimization approach motivated by concepts in quantum mechanics and PSO. In order to…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Li-Wei Li , Jun Sun , Chao Li , Wei Fang , Vasile Palade , Xiao-Jun Wu

Generality is one of the main advantages of heuristic algorithms, as such, multiple parameters are exposed to the user with the objective of allowing them to shape the algorithms to their specific needs. Parameter selection, therefore,…

Neural and Evolutionary Computing · Computer Science 2017-05-22 Carlos Garcia Cordero

This paper proposes a tutorial on the Data Clustering technique using the Particle Swarm Optimization approach. Following the work proposed by Merwe et al. here we present an in-deep analysis of the algorithm together with a Matlab…

Neural and Evolutionary Computing · Computer Science 2018-09-10 Augusto Luis Ballardini

Resource constrained job scheduling is a hard combinatorial optimisation problem that originates in the mining industry. Off-the-shelf solvers cannot solve this problem satisfactorily in reasonable timeframes, while other solution methods…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Su Nguyen , Dhananjay Thiruvady , Yuan Sun , Mengjie Zhang

We consider global non-convex optimisation problems under uncertainty. In this setting, it is not possible to implement a desired solution exactly. Instead, any other solution within some distance to the intended solution may be…

Optimization and Control · Mathematics 2020-03-24 Martin Hughes , Marc Goerigk , Trivikram Dokka

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 is a population-based and gradient-free optimization method developed by mimicking social behaviour observed in nature. Its ability to optimize is not specifically implemented but emerges in the global level from…

Neural and Evolutionary Computing · Computer Science 2021-01-29 Mauro S. Innocente , Johann Sienz

Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints. Recent developments in…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang , Suash Deb , Simon Fong

Real-time trajectory planning for unmanned aerial vehicles (UAVs) in dynamic environments remains a key challenge due to high computational demands and the need for fast, adaptive responses. Traditional Particle Swarm Optimization (PSO)…

Robotics · Computer Science 2026-04-15 Minze Li , Wei Zhao , Ran Chen , Mingqiang Wei

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

The analysis of vast amounts of data constitutes a major challenge in modern high energy physics experiments. Machine learning (ML) methods, typically trained on simulated data, are often employed to facilitate this task. Several choices…

High Energy Physics - Experiment · Physics 2021-02-25 Laurits Tani , Diana Rand , Christian Veelken , Mario Kadastik

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

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

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

Task learning in neural networks typically requires finding a globally optimal minimizer to a loss function objective. Conventional designs of swarm based optimization methods apply a fixed update rule, with possibly an adaptive step-size…

Machine Learning · Computer Science 2022-11-29 Chandrajit Bajaj , Omatharv Bharat Vaidya , Yi Wang