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In this work we survey some recent results on the global minimization of a non-convex and possibly non-smooth high dimensional objective function by means of particle based gradient-free methods. Such problems arise in many situations of…

Optimization and Control · Mathematics 2021-08-21 Sara Grassi , Hui Huang , Lorenzo Pareschi , Jinniao Qiu

We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic…

Astrophysics · Physics 2009-11-10 Ch. Skokos , K. E. Parsopoulos , P. A. Patsis , M. N. Vrahatis

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

In this work, the Particle Swarm Optimization (PSO) algorithm has been used to train various Variational Quantum Circuits (VQCs). This approach is motivated by the fact that commonly used gradient-based optimization methods can suffer from…

Quantum Physics · Physics 2025-09-22 Marco Mordacci , Michele Amoretti

We introduce the Hamiltonian Monte Carlo Particle Swarm Optimizer (HMC-PSO), an optimization algorithm that reaps the benefits of both Exponentially Averaged Momentum PSO and HMC sampling. The coupling of the position and velocity of each…

Machine Learning · Computer Science 2022-06-29 Omatharv Bharat Vaidya , Rithvik Terence DSouza , Snehanshu Saha , Soma Dhavala , Swagatam Das

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

We dramatically improve convergence speed and global exploration capabilities of particle swarm optimization (PSO) through a targeted position-mutated elitism (PSO-TPME). The three key innovations address particle classification, elitism,…

Neural and Evolutionary Computing · Computer Science 2022-08-22 Tamir Shaqarin , Bernd R. Noack

Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optimization algorithms, easy to use and implement, flexible and…

Optimization and Control · Mathematics 2021-03-23 Kwok Pui Choi , Enzio Hai Hong Kam , Tze Leung Lai , Xin T. Tong , Weng Kee Wong

The range of applications of traditional optimization methods are limited by the features of the object variables, and of both the objective and the constraint functions. In contrast, population-based algorithms whose optimization…

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

Identifying optimal designs for generalized linear models with a binary response can be a challenging task, especially when there are both continuous and discrete independent factors in the model. Theoretical results rarely exist for such…

Applications · Statistics 2016-02-09 Joshua Lukemire , Abhyuday Mandal , Weng Kee Wong

Bio-inspired optimization algorithms have been gaining more popularity recently. One of the most important of these algorithms is particle swarm optimization (PSO). PSO is based on the collective intelligence of a swam of particles. Each…

Neural and Evolutionary Computing · Computer Science 2013-12-09 Muhammad Marwan Muhammad Fuad

Feature selection is the process of identifying statistically most relevant features to improve the predictive capabilities of the classifiers. To find the best features subsets, the population based approaches like Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2018-06-28 Naresh Mallenahalli , T. Hitendra Sarma

Particle Swarm Optimization (PSO) is susceptible to premature convergence when the swarm collapses around the global best, particularly on multimodal landscapes in higher dimensions. We propose Divergence-guided PSO (DPSO), which augments…

Computational Engineering, Finance, and Science · Computer Science 2026-04-15 Kleyton da Costa , Bernardo Modenesi , Ivan F. M. Menezes , Hélio Lopes

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

This paper preliminarily investigates the duality between flow matching in generative models and particle swarm optimization (PSO) in evolutionary computation. Through theoretical analysis, we reveal the intrinsic connections between these…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Kaichen Ouyang

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

One of the most critical issues in machine learning is the selection of appropriate hyper parameters for training models. Machine learning models may be able to reach the best training performance and may increase the ability to generalize…

Machine Learning · Computer Science 2023-02-23 Caner Erden , Halil Ibrahim Demir , Abdullah Hulusi Kökçam

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

Meta-heuristics are powerful tools for solving optimization problems whose structural properties are unknown or cannot be exploited algorithmically. We propose such a meta-heuristic for a large class of optimization problems over discrete…

Discrete Mathematics · Computer Science 2021-06-22 Moritz Mühlenthaler , Alexander Raß , Manuel Schmitt , Rolf Wanka

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

Optimization and Control · Mathematics 2024-02-20 Dmytro Shchyrba , Izabela Paniczek